id	sid	tid	token	lemma	pos
ejpam-6486	1	1	european	european	PROPN
ejpam-6486	1	2	journal	journal	PROPN
ejpam-6486	1	3	of	of	ADP
ejpam-6486	1	4	pure	pure	ADJ
ejpam-6486	1	5	and	and	CCONJ
ejpam-6486	1	6	applied	applied	ADJ
ejpam-6486	1	7	mathematics	mathematic	NOUN
ejpam-6486	1	8	2025	2025	NUM
ejpam-6486	1	9	,	,	PUNCT
ejpam-6486	1	10	vol	vol	NOUN
ejpam-6486	1	11	.	.	PROPN
ejpam-6486	1	12	18	18	NUM
ejpam-6486	1	13	,	,	PUNCT
ejpam-6486	1	14	issue	issue	NOUN
ejpam-6486	1	15	3	3	NUM
ejpam-6486	1	16	,	,	PUNCT
ejpam-6486	1	17	article	article	NOUN
ejpam-6486	1	18	number	number	NOUN
ejpam-6486	1	19	6486	6486	NUM
ejpam-6486	1	20	issn	issn	PROPN
ejpam-6486	1	21	1307	1307	NUM
ejpam-6486	1	22	-	-	SYM
ejpam-6486	1	23	5543	5543	NUM
ejpam-6486	1	24	–	–	PUNCT
ejpam-6486	1	25	ejpam.com	ejpam.com	X
ejpam-6486	1	26	published	publish	VERB
ejpam-6486	1	27	by	by	ADP
ejpam-6486	1	28	new	new	PROPN
ejpam-6486	1	29	york	york	PROPN
ejpam-6486	1	30	business	business	PROPN
ejpam-6486	1	31	global	global	PROPN
ejpam-6486	1	32	contractive	contractive	PROPN
ejpam-6486	1	33	operators	operator	NOUN
ejpam-6486	1	34	controlled	control	VERB
ejpam-6486	1	35	by	by	ADP
ejpam-6486	1	36	simulation	simulation	NOUN
ejpam-6486	1	37	functions	function	NOUN
ejpam-6486	1	38	in	in	ADP
ejpam-6486	1	39	fuzzy	fuzzy	ADJ
ejpam-6486	1	40	metric	metric	ADJ
ejpam-6486	1	41	spaces	space	NOUN
ejpam-6486	1	42	with	with	ADP
ejpam-6486	1	43	transitive	transitive	ADJ
ejpam-6486	1	44	k	k	ADV
ejpam-6486	1	45	-	-	ADJ
ejpam-6486	1	46	closed	close	VERB
ejpam-6486	1	47	binary	binary	ADJ
ejpam-6486	1	48	relations	relation	NOUN
ejpam-6486	1	49	abdelhamid	abdelhamid	PROPN
ejpam-6486	1	50	moussaoui1	moussaoui1	PROPN
ejpam-6486	1	51	,	,	PUNCT
ejpam-6486	1	52	mirjana	mirjana	PROPN
ejpam-6486	1	53	pantović2	pantović2	PROPN
ejpam-6486	1	54	,	,	PUNCT
ejpam-6486	1	55	stojan	stojan	ADJ
ejpam-6486	1	56	radenović3,∗	radenović3,∗	PROPN
ejpam-6486	1	57	1	1	NUM
ejpam-6486	1	58	laboratory	laboratory	NOUN
ejpam-6486	1	59	of	of	ADP
ejpam-6486	1	60	applied	apply	VERB
ejpam-6486	1	61	mathematics	mathematic	NOUN
ejpam-6486	1	62	and	and	CCONJ
ejpam-6486	1	63	scientific	scientific	ADJ
ejpam-6486	1	64	computing	computing	NOUN
ejpam-6486	1	65	,	,	PUNCT
ejpam-6486	1	66	faculty	faculty	NOUN
ejpam-6486	1	67	of	of	ADP
ejpam-6486	1	68	sciences	science	NOUN
ejpam-6486	1	69	and	and	CCONJ
ejpam-6486	1	70	techniques	technique	NOUN
ejpam-6486	1	71	,	,	PUNCT
ejpam-6486	1	72	sultan	sultan	PROPN
ejpam-6486	1	73	moulay	moulay	PROPN
ejpam-6486	1	74	slimane	slimane	PROPN
ejpam-6486	1	75	university	university	PROPN
ejpam-6486	1	76	,	,	PUNCT
ejpam-6486	1	77	po	po	PROPN
ejpam-6486	1	78	box	box	PROPN
ejpam-6486	1	79	523	523	NUM
ejpam-6486	1	80	,	,	PUNCT
ejpam-6486	1	81	beni	beni	ADJ
ejpam-6486	1	82	mellal	mellal	NOUN
ejpam-6486	1	83	,	,	PUNCT
ejpam-6486	1	84	23000	23000	NUM
ejpam-6486	1	85	,	,	PUNCT
ejpam-6486	1	86	morocco	morocco	PROPN
ejpam-6486	1	87	2	2	NUM
ejpam-6486	1	88	department	department	NOUN
ejpam-6486	1	89	of	of	ADP
ejpam-6486	1	90	mathematics	mathematic	NOUN
ejpam-6486	1	91	and	and	CCONJ
ejpam-6486	1	92	informatics	informatic	NOUN
ejpam-6486	1	93	,	,	PUNCT
ejpam-6486	1	94	faculty	faculty	NOUN
ejpam-6486	1	95	of	of	ADP
ejpam-6486	1	96	science	science	NOUN
ejpam-6486	1	97	,	,	PUNCT
ejpam-6486	1	98	university	university	NOUN
ejpam-6486	1	99	of	of	ADP
ejpam-6486	1	100	kragujevac	kragujevac	PROPN
ejpam-6486	1	101	,	,	PUNCT
ejpam-6486	1	102	radoja	radoja	NOUN
ejpam-6486	1	103	domanovića	domanovića	NOUN
ejpam-6486	1	104	12	12	NUM
ejpam-6486	1	105	,	,	PUNCT
ejpam-6486	1	106	34000	34000	NUM
ejpam-6486	1	107	kragujevac	kragujevac	NOUN
ejpam-6486	1	108	,	,	PUNCT
ejpam-6486	1	109	serbia	serbia	PROPN
ejpam-6486	1	110	3	3	NUM
ejpam-6486	1	111	faculty	faculty	NOUN
ejpam-6486	1	112	of	of	ADP
ejpam-6486	1	113	mechanical	mechanical	ADJ
ejpam-6486	1	114	engineering	engineering	NOUN
ejpam-6486	1	115	,	,	PUNCT
ejpam-6486	1	116	university	university	PROPN
ejpam-6486	1	117	of	of	ADP
ejpam-6486	1	118	belgrade	belgrade	PROPN
ejpam-6486	1	119	,	,	PUNCT
ejpam-6486	1	120	16	16	NUM
ejpam-6486	1	121	,	,	PUNCT
ejpam-6486	1	122	beograd	beograd	PROPN
ejpam-6486	1	123	35	35	NUM
ejpam-6486	1	124	,	,	PUNCT
ejpam-6486	1	125	11120	11120	NUM
ejpam-6486	1	126	,	,	PUNCT
ejpam-6486	1	127	serbia	serbia	PROPN
ejpam-6486	1	128	abstract	abstract	ADJ
ejpam-6486	1	129	.	.	PUNCT
ejpam-6486	2	1	in	in	ADP
ejpam-6486	2	2	this	this	DET
ejpam-6486	2	3	study	study	NOUN
ejpam-6486	2	4	,	,	PUNCT
ejpam-6486	2	5	we	we	PRON
ejpam-6486	2	6	establish	establish	VERB
ejpam-6486	2	7	a	a	DET
ejpam-6486	2	8	novel	novel	ADJ
ejpam-6486	2	9	fuzzy	fuzzy	ADJ
ejpam-6486	2	10	functional	functional	ADJ
ejpam-6486	2	11	contraction	contraction	NOUN
ejpam-6486	2	12	within	within	ADP
ejpam-6486	2	13	fuzzy	fuzzy	ADJ
ejpam-6486	2	14	metric	metric	ADJ
ejpam-6486	2	15	spaces	space	NOUN
ejpam-6486	2	16	equipped	equip	VERB
ejpam-6486	2	17	with	with	ADP
ejpam-6486	2	18	a	a	DET
ejpam-6486	2	19	binary	binary	ADJ
ejpam-6486	2	20	relation	relation	NOUN
ejpam-6486	2	21	,	,	PUNCT
ejpam-6486	2	22	relying	rely	VERB
ejpam-6486	2	23	on	on	ADP
ejpam-6486	2	24	the	the	DET
ejpam-6486	2	25	weaker	weak	ADJ
ejpam-6486	2	26	concept	concept	NOUN
ejpam-6486	2	27	of	of	ADP
ejpam-6486	2	28	r	r	NOUN
ejpam-6486	2	29	-	-	PUNCT
ejpam-6486	2	30	completeness	completeness	NOUN
ejpam-6486	2	31	rather	rather	ADV
ejpam-6486	2	32	than	than	ADP
ejpam-6486	2	33	the	the	DET
ejpam-6486	2	34	classical	classical	ADJ
ejpam-6486	2	35	completeness	completeness	NOUN
ejpam-6486	2	36	of	of	ADP
ejpam-6486	2	37	the	the	DET
ejpam-6486	2	38	entire	entire	ADJ
ejpam-6486	2	39	space	space	NOUN
ejpam-6486	2	40	or	or	CCONJ
ejpam-6486	2	41	its	its	PRON
ejpam-6486	2	42	subspaces	subspace	NOUN
ejpam-6486	2	43	.	.	PUNCT
ejpam-6486	3	1	the	the	DET
ejpam-6486	3	2	usual	usual	ADJ
ejpam-6486	3	3	continuity	continuity	NOUN
ejpam-6486	3	4	requirement	requirement	NOUN
ejpam-6486	3	5	on	on	ADP
ejpam-6486	3	6	the	the	DET
ejpam-6486	3	7	mapping	mapping	NOUN
ejpam-6486	3	8	is	be	AUX
ejpam-6486	3	9	relaxed	relax	VERB
ejpam-6486	3	10	and	and	CCONJ
ejpam-6486	3	11	replaced	replace	VERB
ejpam-6486	3	12	by	by	ADP
ejpam-6486	3	13	either	either	CCONJ
ejpam-6486	3	14	r	r	NOUN
ejpam-6486	3	15	-	-	PUNCT
ejpam-6486	3	16	continuity	continuity	NOUN
ejpam-6486	3	17	or	or	CCONJ
ejpam-6486	3	18	the	the	DET
ejpam-6486	3	19	p	p	NOUN
ejpam-6486	3	20	-	-	PUNCT
ejpam-6486	3	21	self	self	NOUN
ejpam-6486	3	22	-	-	PUNCT
ejpam-6486	3	23	closedness	closedness	NOUN
ejpam-6486	3	24	of	of	ADP
ejpam-6486	3	25	the	the	DET
ejpam-6486	3	26	relation	relation	NOUN
ejpam-6486	3	27	’s	’s	PART
ejpam-6486	3	28	restriction	restriction	NOUN
ejpam-6486	3	29	,	,	PUNCT
ejpam-6486	3	30	employing	employ	VERB
ejpam-6486	3	31	a	a	DET
ejpam-6486	3	32	broad	broad	ADJ
ejpam-6486	3	33	class	class	NOUN
ejpam-6486	3	34	of	of	ADP
ejpam-6486	3	35	control	control	NOUN
ejpam-6486	3	36	functions	function	NOUN
ejpam-6486	3	37	s.	s.	PROPN
ejpam-6486	3	38	the	the	DET
ejpam-6486	3	39	theoretical	theoretical	ADJ
ejpam-6486	3	40	results	result	NOUN
ejpam-6486	3	41	are	be	AUX
ejpam-6486	3	42	illustrated	illustrate	VERB
ejpam-6486	3	43	with	with	ADP
ejpam-6486	3	44	examples	example	NOUN
ejpam-6486	3	45	and	and	CCONJ
ejpam-6486	3	46	an	an	DET
ejpam-6486	3	47	application	application	NOUN
ejpam-6486	3	48	to	to	ADP
ejpam-6486	3	49	solving	solve	VERB
ejpam-6486	3	50	an	an	DET
ejpam-6486	3	51	integral	integral	ADJ
ejpam-6486	3	52	equation	equation	NOUN
ejpam-6486	3	53	governed	govern	VERB
ejpam-6486	3	54	by	by	ADP
ejpam-6486	3	55	a	a	DET
ejpam-6486	3	56	given	give	VERB
ejpam-6486	3	57	binary	binary	ADJ
ejpam-6486	3	58	relation	relation	NOUN
ejpam-6486	3	59	,	,	PUNCT
ejpam-6486	3	60	accompanied	accompany	VERB
ejpam-6486	3	61	by	by	ADP
ejpam-6486	3	62	several	several	ADJ
ejpam-6486	3	63	corollaries	corollary	NOUN
ejpam-6486	3	64	and	and	CCONJ
ejpam-6486	3	65	derived	derive	VERB
ejpam-6486	3	66	consequences	consequence	NOUN
ejpam-6486	3	67	.	.	PUNCT
ejpam-6486	4	1	this	this	DET
ejpam-6486	4	2	work	work	NOUN
ejpam-6486	4	3	extends	extend	VERB
ejpam-6486	4	4	the	the	DET
ejpam-6486	4	5	theory	theory	NOUN
ejpam-6486	4	6	of	of	ADP
ejpam-6486	4	7	relation	relation	NOUN
ejpam-6486	4	8	-	-	PUNCT
ejpam-6486	4	9	theoretic	theoretic	ADJ
ejpam-6486	4	10	fuzzy	fuzzy	ADJ
ejpam-6486	4	11	fixed	fix	VERB
ejpam-6486	4	12	points	point	NOUN
ejpam-6486	4	13	and	and	CCONJ
ejpam-6486	4	14	provides	provide	VERB
ejpam-6486	4	15	a	a	DET
ejpam-6486	4	16	rigorous	rigorous	ADJ
ejpam-6486	4	17	basis	basis	NOUN
ejpam-6486	4	18	for	for	ADP
ejpam-6486	4	19	further	further	ADJ
ejpam-6486	4	20	study	study	NOUN
ejpam-6486	4	21	of	of	ADP
ejpam-6486	4	22	coincidence	coincidence	NOUN
ejpam-6486	4	23	and	and	CCONJ
ejpam-6486	4	24	common	common	ADJ
ejpam-6486	4	25	fixed	fix	VERB
ejpam-6486	4	26	points	point	NOUN
ejpam-6486	4	27	,	,	PUNCT
ejpam-6486	4	28	with	with	ADP
ejpam-6486	4	29	potential	potential	ADJ
ejpam-6486	4	30	applications	application	NOUN
ejpam-6486	4	31	to	to	ADP
ejpam-6486	4	32	nonlinear	nonlinear	ADJ
ejpam-6486	4	33	operator	operator	NOUN
ejpam-6486	4	34	equations	equation	NOUN
ejpam-6486	4	35	in	in	ADP
ejpam-6486	4	36	uncertain	uncertain	ADJ
ejpam-6486	4	37	settings	setting	NOUN
ejpam-6486	4	38	.	.	PUNCT
ejpam-6486	5	1	2020	2020	NUM
ejpam-6486	5	2	mathematics	mathematic	NOUN
ejpam-6486	5	3	subject	subject	NOUN
ejpam-6486	5	4	classifications	classification	NOUN
ejpam-6486	5	5	:	:	PUNCT
ejpam-6486	5	6	47h10	47h10	NUM
ejpam-6486	5	7	,	,	PUNCT
ejpam-6486	5	8	54h25	54h25	NUM
ejpam-6486	5	9	key	key	ADJ
ejpam-6486	5	10	words	word	NOUN
ejpam-6486	5	11	and	and	CCONJ
ejpam-6486	5	12	phrases	phrase	NOUN
ejpam-6486	5	13	:	:	PUNCT
ejpam-6486	5	14	fixed	fix	VERB
ejpam-6486	5	15	point	point	NOUN
ejpam-6486	5	16	,	,	PUNCT
ejpam-6486	5	17	r	r	NOUN
ejpam-6486	5	18	-	-	NOUN
ejpam-6486	5	19	completeness	completeness	NOUN
ejpam-6486	5	20	,	,	PUNCT
ejpam-6486	5	21	contractive	contractive	ADJ
ejpam-6486	5	22	mappings	mapping	NOUN
ejpam-6486	5	23	,	,	PUNCT
ejpam-6486	5	24	binary	binary	NOUN
ejpam-6486	5	25	relation	relation	NOUN
ejpam-6486	5	26	,	,	PUNCT
ejpam-6486	5	27	fuzzy	fuzzy	ADJ
ejpam-6486	5	28	metric	metric	NOUN
ejpam-6486	5	29	,	,	PUNCT
ejpam-6486	5	30	simulation	simulation	NOUN
ejpam-6486	5	31	function	function	NOUN
ejpam-6486	5	32	,	,	PUNCT
ejpam-6486	5	33	r	r	NOUN
ejpam-6486	5	34	-	-	PUNCT
ejpam-6486	5	35	continuity	continuity	NOUN
ejpam-6486	5	36	,	,	PUNCT
ejpam-6486	5	37	p	p	NOUN
ejpam-6486	5	38	-	-	PUNCT
ejpam-6486	5	39	self	self	NOUN
ejpam-6486	5	40	-	-	PUNCT
ejpam-6486	5	41	closedness	closedness	ADJ
ejpam-6486	5	42	,	,	PUNCT
ejpam-6486	5	43	integral	integral	ADJ
ejpam-6486	5	44	equation	equation	NOUN
ejpam-6486	5	45	.	.	PUNCT
ejpam-6486	6	1	1	1	X
ejpam-6486	6	2	.	.	X
ejpam-6486	6	3	introduction	introduction	NOUN
ejpam-6486	6	4	and	and	CCONJ
ejpam-6486	6	5	preliminaries	preliminary	NOUN
ejpam-6486	6	6	fixed	fix	VERB
ejpam-6486	6	7	point	point	NOUN
ejpam-6486	6	8	theory	theory	NOUN
ejpam-6486	6	9	occupies	occupy	VERB
ejpam-6486	6	10	a	a	DET
ejpam-6486	6	11	central	central	ADJ
ejpam-6486	6	12	role	role	NOUN
ejpam-6486	6	13	in	in	ADP
ejpam-6486	6	14	nonlinear	nonlinear	ADJ
ejpam-6486	6	15	functional	functional	ADJ
ejpam-6486	6	16	analysis	analysis	NOUN
ejpam-6486	6	17	,	,	PUNCT
ejpam-6486	6	18	providing	provide	VERB
ejpam-6486	6	19	a	a	DET
ejpam-6486	6	20	rich	rich	ADJ
ejpam-6486	6	21	toolkit	toolkit	NOUN
ejpam-6486	6	22	for	for	ADP
ejpam-6486	6	23	resolving	resolve	VERB
ejpam-6486	6	24	diverse	diverse	ADJ
ejpam-6486	6	25	and	and	CCONJ
ejpam-6486	6	26	intricate	intricate	ADJ
ejpam-6486	6	27	problems	problem	NOUN
ejpam-6486	6	28	across	across	ADP
ejpam-6486	6	29	many	many	ADJ
ejpam-6486	6	30	mathematical	mathematical	ADJ
ejpam-6486	6	31	disciplines	discipline	NOUN
ejpam-6486	6	32	.	.	PUNCT
ejpam-6486	7	1	among	among	ADP
ejpam-6486	7	2	its	its	PRON
ejpam-6486	7	3	fundamental	fundamental	ADJ
ejpam-6486	7	4	results	result	NOUN
ejpam-6486	7	5	is	be	AUX
ejpam-6486	7	6	the	the	DET
ejpam-6486	7	7	banach	banach	NOUN
ejpam-6486	7	8	contraction	contraction	NOUN
ejpam-6486	7	9	principle	principle	NOUN
ejpam-6486	7	10	,	,	PUNCT
ejpam-6486	7	11	a	a	DET
ejpam-6486	7	12	cornerstone	cornerstone	NOUN
ejpam-6486	7	13	of	of	ADP
ejpam-6486	7	14	metric	metric	ADJ
ejpam-6486	7	15	fixed	fix	VERB
ejpam-6486	7	16	point	point	NOUN
ejpam-6486	7	17	theory	theory	NOUN
ejpam-6486	7	18	,	,	PUNCT
ejpam-6486	7	19	which	which	PRON
ejpam-6486	7	20	has	have	AUX
ejpam-6486	7	21	been	be	AUX
ejpam-6486	7	22	extensively	extensively	ADV
ejpam-6486	7	23	generalized	generalize	VERB
ejpam-6486	7	24	and	and	CCONJ
ejpam-6486	7	25	applied	apply	VERB
ejpam-6486	7	26	to	to	ADP
ejpam-6486	7	27	numerous	numerous	ADJ
ejpam-6486	7	28	abstract	abstract	ADJ
ejpam-6486	7	29	metric	metric	ADJ
ejpam-6486	7	30	frameworks	framework	NOUN
ejpam-6486	7	31	.	.	PUNCT
ejpam-6486	8	1	a	a	DET
ejpam-6486	8	2	recent	recent	ADJ
ejpam-6486	8	3	advancement	advancement	NOUN
ejpam-6486	8	4	in	in	ADP
ejpam-6486	8	5	this	this	DET
ejpam-6486	8	6	domain	domain	NOUN
ejpam-6486	8	7	was	be	AUX
ejpam-6486	8	8	introduced	introduce	VERB
ejpam-6486	8	9	by	by	ADP
ejpam-6486	8	10	khojasteh	khojasteh	PROPN
ejpam-6486	8	11	et	et	PROPN
ejpam-6486	8	12	al	al	PROPN
ejpam-6486	8	13	.	.	PUNCT
ejpam-6486	9	1	[	[	X
ejpam-6486	9	2	1	1	NUM
ejpam-6486	9	3	]	]	PUNCT
ejpam-6486	9	4	,	,	PUNCT
ejpam-6486	9	5	who	who	PRON
ejpam-6486	9	6	enriched	enrich	VERB
ejpam-6486	9	7	fixed	fix	VERB
ejpam-6486	9	8	point	point	NOUN
ejpam-6486	9	9	theory	theory	NOUN
ejpam-6486	9	10	by	by	ADP
ejpam-6486	9	11	incorporating	incorporate	VERB
ejpam-6486	9	12	a	a	DET
ejpam-6486	9	13	novel	novel	ADJ
ejpam-6486	9	14	class	class	NOUN
ejpam-6486	9	15	∗corresponding	∗corresponding	NOUN
ejpam-6486	9	16	author	author	NOUN
ejpam-6486	9	17	.	.	PUNCT
ejpam-6486	10	1	doi	doi	NOUN
ejpam-6486	10	2	:	:	PUNCT
ejpam-6486	10	3	https://doi.org/10.29020/nybg.ejpam.v18i3.6486	https://doi.org/10.29020/nybg.ejpam.v18i3.6486	PROPN
ejpam-6486	10	4	email	email	NOUN
ejpam-6486	10	5	addresses	address	NOUN
ejpam-6486	10	6	:	:	PUNCT
ejpam-6486	10	7	a.moussaoui@usms.ma	a.moussaoui@usms.ma	PUNCT
ejpam-6486	10	8	(	(	PUNCT
ejpam-6486	10	9	a.	a.	NOUN
ejpam-6486	10	10	moussaoui	moussaoui	NOUN
ejpam-6486	10	11	)	)	PUNCT
ejpam-6486	10	12	,	,	PUNCT
ejpam-6486	10	13	mirjana.pantovic@pmf.kg.ac.rs	mirjana.pantovic@pmf.kg.ac.rs	ADV
ejpam-6486	10	14	(	(	PUNCT
ejpam-6486	10	15	m.	m.	NOUN
ejpam-6486	10	16	pantović	pantović	NOUN
ejpam-6486	10	17	)	)	PUNCT
ejpam-6486	10	18	,	,	PUNCT
ejpam-6486	10	19	radens@beotel.rs	radens@beotel.rs	PROPN
ejpam-6486	10	20	(	(	PUNCT
ejpam-6486	10	21	s.	s.	PROPN
ejpam-6486	10	22	radenović	radenović	ADJ
ejpam-6486	10	23	)	)	PUNCT
ejpam-6486	10	24	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6486	11	1	1	1	NUM
ejpam-6486	11	2	copyright	copyright	NOUN
ejpam-6486	11	3	:	:	PUNCT
ejpam-6486	11	4	©	©	PROPN
ejpam-6486	11	5	2025	2025	NUM
ejpam-6486	11	6	the	the	DET
ejpam-6486	11	7	author(s	author(s	NOUN
ejpam-6486	11	8	)	)	PUNCT
ejpam-6486	11	9	.	.	PUNCT
ejpam-6486	12	1	(	(	PUNCT
ejpam-6486	12	2	cc	cc	NOUN
ejpam-6486	12	3	by	by	ADP
ejpam-6486	12	4	-	-	PUNCT
ejpam-6486	12	5	nc	nc	PROPN
ejpam-6486	12	6	4.0	4.0	NUM
ejpam-6486	12	7	)	)	PUNCT
ejpam-6486	12	8	a.	a.	NOUN
ejpam-6486	12	9	moussaoui	moussaoui	NOUN
ejpam-6486	12	10	,	,	PUNCT
ejpam-6486	12	11	m.	m.	NOUN
ejpam-6486	12	12	pantović	pantović	NOUN
ejpam-6486	12	13	,	,	PUNCT
ejpam-6486	12	14	s.	s.	PROPN
ejpam-6486	12	15	radenović	radenović	PROPN
ejpam-6486	12	16	/	/	SYM
ejpam-6486	12	17	eur	eur	PROPN
ejpam-6486	12	18	.	.	PUNCT
ejpam-6486	13	1	j.	j.	PROPN
ejpam-6486	13	2	pure	pure	PROPN
ejpam-6486	13	3	appl	appl	PROPN
ejpam-6486	13	4	.	.	PROPN
ejpam-6486	13	5	math	math	PROPN
ejpam-6486	13	6	,	,	PUNCT
ejpam-6486	13	7	18	18	NUM
ejpam-6486	13	8	(	(	PUNCT
ejpam-6486	13	9	3	3	NUM
ejpam-6486	13	10	)	)	PUNCT
ejpam-6486	13	11	(	(	PUNCT
ejpam-6486	13	12	2025	2025	NUM
ejpam-6486	13	13	)	)	PUNCT
ejpam-6486	13	14	,	,	PUNCT
ejpam-6486	13	15	6486	6486	NUM
ejpam-6486	13	16	2	2	NUM
ejpam-6486	13	17	of	of	ADP
ejpam-6486	13	18	18	18	NUM
ejpam-6486	13	19	of	of	ADP
ejpam-6486	13	20	control	control	NOUN
ejpam-6486	13	21	functions	function	NOUN
ejpam-6486	13	22	known	know	VERB
ejpam-6486	13	23	as	as	ADP
ejpam-6486	13	24	simulation	simulation	NOUN
ejpam-6486	13	25	functions	function	NOUN
ejpam-6486	13	26	,	,	PUNCT
ejpam-6486	13	27	thereby	thereby	ADV
ejpam-6486	13	28	broadening	broaden	VERB
ejpam-6486	13	29	the	the	DET
ejpam-6486	13	30	theoretical	theoretical	ADJ
ejpam-6486	13	31	horizon	horizon	NOUN
ejpam-6486	13	32	.	.	PUNCT
ejpam-6486	14	1	another	another	DET
ejpam-6486	14	2	vibrant	vibrant	ADJ
ejpam-6486	14	3	and	and	CCONJ
ejpam-6486	14	4	rapidly	rapidly	ADV
ejpam-6486	14	5	growing	grow	VERB
ejpam-6486	14	6	facet	facet	ADJ
ejpam-6486	14	7	of	of	ADP
ejpam-6486	14	8	fixed	fix	VERB
ejpam-6486	14	9	point	point	NOUN
ejpam-6486	14	10	theory	theory	NOUN
ejpam-6486	14	11	involves	involve	VERB
ejpam-6486	14	12	relationtheoretic	relationtheoretic	ADJ
ejpam-6486	14	13	results	result	NOUN
ejpam-6486	14	14	.	.	PUNCT
ejpam-6486	15	1	this	this	DET
ejpam-6486	15	2	area	area	NOUN
ejpam-6486	15	3	traces	trace	VERB
ejpam-6486	15	4	its	its	PRON
ejpam-6486	15	5	origins	origin	NOUN
ejpam-6486	15	6	to	to	ADP
ejpam-6486	15	7	the	the	DET
ejpam-6486	15	8	pioneering	pioneering	ADJ
ejpam-6486	15	9	work	work	NOUN
ejpam-6486	15	10	of	of	ADP
ejpam-6486	15	11	turinici	turinici	NOUN
ejpam-6486	15	12	[	[	X
ejpam-6486	15	13	2	2	NUM
ejpam-6486	15	14	]	]	PUNCT
ejpam-6486	15	15	,	,	PUNCT
ejpam-6486	15	16	who	who	PRON
ejpam-6486	15	17	formulated	formulate	VERB
ejpam-6486	15	18	the	the	DET
ejpam-6486	15	19	concept	concept	NOUN
ejpam-6486	15	20	of	of	ADP
ejpam-6486	15	21	order	order	NOUN
ejpam-6486	15	22	-	-	PUNCT
ejpam-6486	15	23	theoretic	theoretic	ADJ
ejpam-6486	15	24	fixed	fix	VERB
ejpam-6486	15	25	points	point	NOUN
ejpam-6486	15	26	.	.	PUNCT
ejpam-6486	16	1	building	build	VERB
ejpam-6486	16	2	on	on	ADP
ejpam-6486	16	3	this	this	DET
ejpam-6486	16	4	foundation	foundation	NOUN
ejpam-6486	16	5	,	,	PUNCT
ejpam-6486	16	6	ran	run	VERB
ejpam-6486	16	7	and	and	CCONJ
ejpam-6486	16	8	reurings	reuring	NOUN
ejpam-6486	17	1	[	[	X
ejpam-6486	17	2	3	3	NUM
ejpam-6486	17	3	]	]	PUNCT
ejpam-6486	17	4	developed	develop	VERB
ejpam-6486	17	5	an	an	DET
ejpam-6486	17	6	order	order	NOUN
ejpam-6486	17	7	-	-	PUNCT
ejpam-6486	17	8	theoretic	theoretic	ADJ
ejpam-6486	17	9	version	version	NOUN
ejpam-6486	17	10	of	of	ADP
ejpam-6486	17	11	the	the	DET
ejpam-6486	17	12	banach	banach	NOUN
ejpam-6486	17	13	contraction	contraction	NOUN
ejpam-6486	17	14	principle	principle	NOUN
ejpam-6486	17	15	in	in	ADP
ejpam-6486	17	16	2004	2004	NUM
ejpam-6486	17	17	,	,	PUNCT
ejpam-6486	17	18	which	which	PRON
ejpam-6486	17	19	they	they	PRON
ejpam-6486	17	20	successfully	successfully	ADV
ejpam-6486	17	21	applied	apply	VERB
ejpam-6486	17	22	to	to	ADP
ejpam-6486	17	23	matrix	matrix	NOUN
ejpam-6486	17	24	equations	equation	NOUN
ejpam-6486	17	25	,	,	PUNCT
ejpam-6486	17	26	expanding	expand	VERB
ejpam-6486	17	27	the	the	DET
ejpam-6486	17	28	practical	practical	ADJ
ejpam-6486	17	29	applicability	applicability	NOUN
ejpam-6486	17	30	of	of	ADP
ejpam-6486	17	31	fixed	fix	VERB
ejpam-6486	17	32	point	point	NOUN
ejpam-6486	17	33	results	result	NOUN
ejpam-6486	17	34	.	.	PUNCT
ejpam-6486	18	1	later	later	ADV
ejpam-6486	18	2	,	,	PUNCT
ejpam-6486	18	3	alam	alam	PROPN
ejpam-6486	18	4	and	and	CCONJ
ejpam-6486	18	5	imdad	imdad	NOUN
ejpam-6486	19	1	[	[	X
ejpam-6486	19	2	4	4	X
ejpam-6486	19	3	]	]	PUNCT
ejpam-6486	19	4	extended	extend	VERB
ejpam-6486	19	5	this	this	DET
ejpam-6486	19	6	framework	framework	NOUN
ejpam-6486	19	7	by	by	ADP
ejpam-6486	19	8	introducing	introduce	VERB
ejpam-6486	19	9	a	a	DET
ejpam-6486	19	10	relation	relation	NOUN
ejpam-6486	19	11	-	-	PUNCT
ejpam-6486	19	12	theoretic	theoretic	NOUN
ejpam-6486	19	13	version	version	NOUN
ejpam-6486	19	14	of	of	ADP
ejpam-6486	19	15	the	the	DET
ejpam-6486	19	16	banach	banach	NOUN
ejpam-6486	19	17	contraction	contraction	NOUN
ejpam-6486	19	18	principle	principle	NOUN
ejpam-6486	19	19	,	,	PUNCT
ejpam-6486	19	20	unifying	unify	VERB
ejpam-6486	19	21	several	several	ADJ
ejpam-6486	19	22	classical	classical	ADJ
ejpam-6486	19	23	order	order	NOUN
ejpam-6486	19	24	-	-	PUNCT
ejpam-6486	19	25	theoretic	theoretic	ADJ
ejpam-6486	19	26	theorems	theorem	NOUN
ejpam-6486	19	27	through	through	ADP
ejpam-6486	19	28	arbitrary	arbitrary	ADJ
ejpam-6486	19	29	binary	binary	ADJ
ejpam-6486	19	30	relations	relation	NOUN
ejpam-6486	19	31	.	.	PUNCT
ejpam-6486	20	1	this	this	DET
ejpam-6486	20	2	approach	approach	NOUN
ejpam-6486	20	3	has	have	AUX
ejpam-6486	20	4	since	since	SCONJ
ejpam-6486	20	5	catalyzed	catalyze	VERB
ejpam-6486	20	6	a	a	DET
ejpam-6486	20	7	proliferation	proliferation	NOUN
ejpam-6486	20	8	of	of	ADP
ejpam-6486	20	9	fixed	fix	VERB
ejpam-6486	20	10	point	point	NOUN
ejpam-6486	20	11	theorems	theorem	NOUN
ejpam-6486	20	12	employing	employ	VERB
ejpam-6486	20	13	diverse	diverse	ADJ
ejpam-6486	20	14	notions	notion	NOUN
ejpam-6486	20	15	of	of	ADP
ejpam-6486	20	16	binary	binary	ADJ
ejpam-6486	20	17	relations	relation	NOUN
ejpam-6486	20	18	[	[	X
ejpam-6486	20	19	5–10	5–10	ADJ
ejpam-6486	20	20	]	]	X
ejpam-6486	20	21	.	.	PUNCT
ejpam-6486	21	1	the	the	DET
ejpam-6486	21	2	introduction	introduction	NOUN
ejpam-6486	21	3	of	of	ADP
ejpam-6486	21	4	fuzzy	fuzzy	ADJ
ejpam-6486	21	5	set	set	NOUN
ejpam-6486	21	6	theory	theory	NOUN
ejpam-6486	21	7	by	by	ADP
ejpam-6486	21	8	zadeh	zadeh	PROPN
ejpam-6486	21	9	in	in	ADP
ejpam-6486	21	10	1965	1965	NUM
ejpam-6486	21	11	[	[	X
ejpam-6486	21	12	11	11	NUM
ejpam-6486	21	13	]	]	PUNCT
ejpam-6486	21	14	marked	mark	VERB
ejpam-6486	21	15	a	a	DET
ejpam-6486	21	16	significant	significant	ADJ
ejpam-6486	21	17	milestone	milestone	NOUN
ejpam-6486	21	18	,	,	PUNCT
ejpam-6486	21	19	offering	offer	VERB
ejpam-6486	21	20	a	a	DET
ejpam-6486	21	21	robust	robust	ADJ
ejpam-6486	21	22	mathematical	mathematical	ADJ
ejpam-6486	21	23	apparatus	apparatus	NOUN
ejpam-6486	21	24	to	to	PART
ejpam-6486	21	25	address	address	VERB
ejpam-6486	21	26	uncertainty	uncertainty	NOUN
ejpam-6486	21	27	and	and	CCONJ
ejpam-6486	21	28	vagueness	vagueness	NOUN
ejpam-6486	21	29	beyond	beyond	ADP
ejpam-6486	21	30	the	the	DET
ejpam-6486	21	31	scope	scope	NOUN
ejpam-6486	21	32	of	of	ADP
ejpam-6486	21	33	classical	classical	ADJ
ejpam-6486	21	34	crisp	crisp	ADJ
ejpam-6486	21	35	sets	set	NOUN
ejpam-6486	21	36	.	.	PUNCT
ejpam-6486	22	1	this	this	DET
ejpam-6486	22	2	innovation	innovation	NOUN
ejpam-6486	22	3	has	have	AUX
ejpam-6486	22	4	become	become	VERB
ejpam-6486	22	5	instrumental	instrumental	ADJ
ejpam-6486	22	6	in	in	ADP
ejpam-6486	22	7	modeling	model	VERB
ejpam-6486	22	8	complex	complex	ADJ
ejpam-6486	22	9	and	and	CCONJ
ejpam-6486	22	10	imprecise	imprecise	ADV
ejpam-6486	22	11	phenomena	phenomenon	NOUN
ejpam-6486	22	12	.	.	PUNCT
ejpam-6486	23	1	the	the	DET
ejpam-6486	23	2	extension	extension	NOUN
ejpam-6486	23	3	of	of	ADP
ejpam-6486	23	4	probabilistic	probabilistic	ADJ
ejpam-6486	23	5	metric	metric	ADJ
ejpam-6486	23	6	spaces	space	NOUN
ejpam-6486	23	7	into	into	ADP
ejpam-6486	23	8	the	the	DET
ejpam-6486	23	9	fuzzy	fuzzy	ADJ
ejpam-6486	23	10	context	context	NOUN
ejpam-6486	23	11	was	be	AUX
ejpam-6486	23	12	pioneered	pioneer	VERB
ejpam-6486	23	13	by	by	ADP
ejpam-6486	23	14	kramosil	kramosil	NOUN
ejpam-6486	23	15	and	and	CCONJ
ejpam-6486	23	16	michalek	michalek	VERB
ejpam-6486	23	17	[	[	X
ejpam-6486	23	18	12	12	NUM
ejpam-6486	23	19	]	]	PUNCT
ejpam-6486	23	20	,	,	PUNCT
ejpam-6486	23	21	who	who	PRON
ejpam-6486	23	22	introduced	introduce	VERB
ejpam-6486	23	23	fuzzy	fuzzy	ADJ
ejpam-6486	23	24	metric	metric	ADJ
ejpam-6486	23	25	spaces	space	NOUN
ejpam-6486	23	26	a	a	DET
ejpam-6486	23	27	concept	concept	NOUN
ejpam-6486	23	28	subsequently	subsequently	ADV
ejpam-6486	23	29	refined	refine	VERB
ejpam-6486	23	30	by	by	ADP
ejpam-6486	23	31	george	george	PROPN
ejpam-6486	23	32	and	and	CCONJ
ejpam-6486	23	33	veeramani	veeramani	NOUN
ejpam-6486	24	1	[	[	X
ejpam-6486	24	2	13	13	NUM
ejpam-6486	24	3	]	]	PUNCT
ejpam-6486	24	4	to	to	PART
ejpam-6486	24	5	define	define	VERB
ejpam-6486	24	6	a	a	DET
ejpam-6486	24	7	hausdorff	hausdorff	NOUN
ejpam-6486	24	8	topology	topology	NOUN
ejpam-6486	24	9	.	.	PUNCT
ejpam-6486	25	1	in	in	ADP
ejpam-6486	25	2	the	the	DET
ejpam-6486	25	3	setting	setting	NOUN
ejpam-6486	25	4	of	of	ADP
ejpam-6486	25	5	fuzzy	fuzzy	ADJ
ejpam-6486	25	6	metric	metric	ADJ
ejpam-6486	25	7	spaces	space	NOUN
ejpam-6486	25	8	,	,	PUNCT
ejpam-6486	25	9	distance	distance	NOUN
ejpam-6486	25	10	is	be	AUX
ejpam-6486	25	11	conceptualized	conceptualize	VERB
ejpam-6486	25	12	not	not	PART
ejpam-6486	25	13	as	as	ADP
ejpam-6486	25	14	a	a	DET
ejpam-6486	25	15	fixed	fix	VERB
ejpam-6486	25	16	numerical	numerical	ADJ
ejpam-6486	25	17	quantity	quantity	NOUN
ejpam-6486	25	18	but	but	CCONJ
ejpam-6486	25	19	as	as	ADP
ejpam-6486	25	20	a	a	DET
ejpam-6486	25	21	degree	degree	NOUN
ejpam-6486	25	22	of	of	ADP
ejpam-6486	25	23	proximity	proximity	NOUN
ejpam-6486	25	24	influenced	influence	VERB
ejpam-6486	25	25	by	by	ADP
ejpam-6486	25	26	a	a	DET
ejpam-6486	25	27	parameter	parameter	NOUN
ejpam-6486	25	28	ℑ	ℑ	PROPN
ejpam-6486	25	29	>	>	X
ejpam-6486	25	30	0	0	X
ejpam-6486	25	31	.	.	PUNCT
ejpam-6486	26	1	this	this	DET
ejpam-6486	26	2	parameter	parameter	NOUN
ejpam-6486	26	3	captures	capture	VERB
ejpam-6486	26	4	practical	practical	ADJ
ejpam-6486	26	5	factors	factor	NOUN
ejpam-6486	26	6	such	such	ADJ
ejpam-6486	26	7	as	as	ADP
ejpam-6486	26	8	travel	travel	NOUN
ejpam-6486	26	9	time	time	NOUN
ejpam-6486	26	10	or	or	CCONJ
ejpam-6486	26	11	energy	energy	NOUN
ejpam-6486	26	12	expenditure	expenditure	NOUN
ejpam-6486	26	13	that	that	PRON
ejpam-6486	26	14	influence	influence	VERB
ejpam-6486	26	15	the	the	DET
ejpam-6486	26	16	degree	degree	NOUN
ejpam-6486	26	17	of	of	ADP
ejpam-6486	26	18	proximity	proximity	NOUN
ejpam-6486	26	19	between	between	ADP
ejpam-6486	26	20	two	two	NUM
ejpam-6486	26	21	points	point	NOUN
ejpam-6486	26	22	.	.	PUNCT
ejpam-6486	27	1	for	for	ADP
ejpam-6486	27	2	instance	instance	NOUN
ejpam-6486	27	3	,	,	PUNCT
ejpam-6486	27	4	consider	consider	VERB
ejpam-6486	27	5	the	the	DET
ejpam-6486	27	6	journey	journey	NOUN
ejpam-6486	27	7	by	by	ADP
ejpam-6486	27	8	car	car	NOUN
ejpam-6486	27	9	from	from	ADP
ejpam-6486	27	10	marrakech	marrakech	NOUN
ejpam-6486	27	11	(	(	PUNCT
ejpam-6486	27	12	u	u	NOUN
ejpam-6486	27	13	)	)	PUNCT
ejpam-6486	27	14	to	to	ADP
ejpam-6486	27	15	casablanca	casablanca	PROPN
ejpam-6486	27	16	(	(	PUNCT
ejpam-6486	27	17	v	v	NOUN
ejpam-6486	27	18	)	)	PUNCT
ejpam-6486	27	19	,	,	PUNCT
ejpam-6486	27	20	the	the	DET
ejpam-6486	27	21	degree	degree	NOUN
ejpam-6486	27	22	of	of	ADP
ejpam-6486	27	23	proximity	proximity	NOUN
ejpam-6486	27	24	between	between	ADP
ejpam-6486	27	25	these	these	DET
ejpam-6486	27	26	two	two	NUM
ejpam-6486	27	27	cities	city	NOUN
ejpam-6486	27	28	can	can	AUX
ejpam-6486	27	29	be	be	AUX
ejpam-6486	27	30	modeled	model	VERB
ejpam-6486	27	31	by	by	ADP
ejpam-6486	27	32	parameters	parameter	NOUN
ejpam-6486	27	33	representing	represent	VERB
ejpam-6486	27	34	the	the	DET
ejpam-6486	27	35	duration	duration	NOUN
ejpam-6486	27	36	of	of	ADP
ejpam-6486	27	37	travel	travel	NOUN
ejpam-6486	27	38	or	or	CCONJ
ejpam-6486	27	39	the	the	DET
ejpam-6486	27	40	amount	amount	NOUN
ejpam-6486	27	41	of	of	ADP
ejpam-6486	27	42	fuel	fuel	NOUN
ejpam-6486	27	43	consumed	consume	VERB
ejpam-6486	27	44	along	along	ADP
ejpam-6486	27	45	the	the	DET
ejpam-6486	27	46	route	route	NOUN
ejpam-6486	27	47	.	.	PUNCT
ejpam-6486	28	1	these	these	DET
ejpam-6486	28	2	factors	factor	NOUN
ejpam-6486	28	3	reflect	reflect	VERB
ejpam-6486	28	4	real	real	ADJ
ejpam-6486	28	5	-	-	PUNCT
ejpam-6486	28	6	world	world	NOUN
ejpam-6486	28	7	considerations	consideration	NOUN
ejpam-6486	28	8	affecting	affect	VERB
ejpam-6486	28	9	how	how	SCONJ
ejpam-6486	28	10	“	"	PUNCT
ejpam-6486	28	11	close	close	ADJ
ejpam-6486	28	12	”	"	PUNCT
ejpam-6486	28	13	two	two	NUM
ejpam-6486	28	14	locations	location	NOUN
ejpam-6486	28	15	are	be	AUX
ejpam-6486	28	16	in	in	ADP
ejpam-6486	28	17	a	a	DET
ejpam-6486	28	18	fuzzy	fuzzy	ADJ
ejpam-6486	28	19	metric	metric	ADJ
ejpam-6486	28	20	sense	sense	NOUN
ejpam-6486	28	21	,	,	PUNCT
ejpam-6486	28	22	beyond	beyond	ADP
ejpam-6486	28	23	mere	mere	ADJ
ejpam-6486	28	24	physical	physical	ADJ
ejpam-6486	28	25	distance	distance	NOUN
ejpam-6486	28	26	.	.	PUNCT
ejpam-6486	29	1	according	accord	VERB
ejpam-6486	29	2	to	to	ADP
ejpam-6486	29	3	axiom	axiom	NOUN
ejpam-6486	29	4	(	(	PUNCT
ejpam-6486	29	5	m2	m2	PROPN
ejpam-6486	29	6	)	)	PUNCT
ejpam-6486	29	7	,	,	PUNCT
ejpam-6486	29	8	when	when	SCONJ
ejpam-6486	29	9	the	the	DET
ejpam-6486	29	10	two	two	NUM
ejpam-6486	29	11	points	point	NOUN
ejpam-6486	29	12	coincide	coincide	NOUN
ejpam-6486	29	13	(	(	PUNCT
ejpam-6486	29	14	u	u	NOUN
ejpam-6486	29	15	=	=	PROPN
ejpam-6486	29	16	v	v	NOUN
ejpam-6486	29	17	)	)	PUNCT
ejpam-6486	29	18	,	,	PUNCT
ejpam-6486	29	19	their	their	PRON
ejpam-6486	29	20	degree	degree	NOUN
ejpam-6486	29	21	of	of	ADP
ejpam-6486	29	22	proximity	proximity	NOUN
ejpam-6486	29	23	attains	attain	VERB
ejpam-6486	29	24	the	the	DET
ejpam-6486	29	25	maximal	maximal	ADJ
ejpam-6486	29	26	value	value	NOUN
ejpam-6486	29	27	of	of	ADP
ejpam-6486	29	28	1	1	NUM
ejpam-6486	29	29	,	,	PUNCT
ejpam-6486	29	30	reflecting	reflect	VERB
ejpam-6486	29	31	the	the	DET
ejpam-6486	29	32	intuitive	intuitive	ADJ
ejpam-6486	29	33	concept	concept	NOUN
ejpam-6486	29	34	of	of	ADP
ejpam-6486	29	35	perfect	perfect	ADJ
ejpam-6486	29	36	proximity	proximity	NOUN
ejpam-6486	29	37	in	in	ADP
ejpam-6486	29	38	practical	practical	ADJ
ejpam-6486	29	39	scenarios	scenario	NOUN
ejpam-6486	29	40	where	where	SCONJ
ejpam-6486	29	41	time	time	NOUN
ejpam-6486	29	42	,	,	PUNCT
ejpam-6486	29	43	energy	energy	NOUN
ejpam-6486	29	44	,	,	PUNCT
ejpam-6486	29	45	or	or	CCONJ
ejpam-6486	29	46	other	other	ADJ
ejpam-6486	29	47	resources	resource	NOUN
ejpam-6486	29	48	play	play	VERB
ejpam-6486	29	49	a	a	DET
ejpam-6486	29	50	critical	critical	ADJ
ejpam-6486	29	51	role	role	NOUN
ejpam-6486	29	52	.	.	PUNCT
ejpam-6486	30	1	recent	recent	ADJ
ejpam-6486	30	2	years	year	NOUN
ejpam-6486	30	3	have	have	AUX
ejpam-6486	30	4	witnessed	witness	VERB
ejpam-6486	30	5	growing	grow	VERB
ejpam-6486	30	6	interest	interest	NOUN
ejpam-6486	30	7	in	in	ADP
ejpam-6486	30	8	fixed	fix	VERB
ejpam-6486	30	9	point	point	NOUN
ejpam-6486	30	10	theory	theory	NOUN
ejpam-6486	30	11	within	within	ADP
ejpam-6486	30	12	fuzzy	fuzzy	ADJ
ejpam-6486	30	13	metric	metric	ADJ
ejpam-6486	30	14	spaces	space	NOUN
ejpam-6486	30	15	.	.	PUNCT
ejpam-6486	31	1	early	early	ADJ
ejpam-6486	31	2	contributions	contribution	NOUN
ejpam-6486	31	3	include	include	VERB
ejpam-6486	31	4	the	the	DET
ejpam-6486	31	5	introduction	introduction	NOUN
ejpam-6486	31	6	of	of	ADP
ejpam-6486	31	7	fuzzy	fuzzy	ADJ
ejpam-6486	31	8	contractive	contractive	ADJ
ejpam-6486	31	9	mappings	mapping	NOUN
ejpam-6486	31	10	by	by	ADP
ejpam-6486	31	11	gregori	gregori	NOUN
ejpam-6486	31	12	and	and	CCONJ
ejpam-6486	31	13	sapena	sapena	ADJ
ejpam-6486	31	14	[	[	X
ejpam-6486	31	15	14	14	NUM
ejpam-6486	31	16	]	]	X
ejpam-6486	31	17	,	,	PUNCT
ejpam-6486	31	18	which	which	PRON
ejpam-6486	31	19	established	establish	VERB
ejpam-6486	31	20	foundational	foundational	ADJ
ejpam-6486	31	21	fixed	fix	VERB
ejpam-6486	31	22	point	point	NOUN
ejpam-6486	31	23	theorems	theorem	NOUN
ejpam-6486	31	24	.	.	PUNCT
ejpam-6486	32	1	this	this	DET
ejpam-6486	32	2	line	line	NOUN
ejpam-6486	32	3	of	of	ADP
ejpam-6486	32	4	research	research	NOUN
ejpam-6486	32	5	was	be	AUX
ejpam-6486	32	6	further	far	ADV
ejpam-6486	32	7	developed	develop	VERB
ejpam-6486	32	8	by	by	ADP
ejpam-6486	32	9	mihet	mihet	PROPN
ejpam-6486	32	10	[	[	X
ejpam-6486	32	11	15	15	NUM
ejpam-6486	32	12	]	]	PUNCT
ejpam-6486	32	13	with	with	ADP
ejpam-6486	32	14	ψ	ψ	ADJ
ejpam-6486	32	15	-	-	ADJ
ejpam-6486	32	16	contractive	contractive	ADJ
ejpam-6486	32	17	mappings	mapping	NOUN
ejpam-6486	32	18	,	,	PUNCT
ejpam-6486	32	19	and	and	CCONJ
ejpam-6486	32	20	by	by	ADP
ejpam-6486	32	21	wardowski	wardowski	PROPN
ejpam-6486	32	22	[	[	X
ejpam-6486	32	23	16	16	NUM
ejpam-6486	32	24	]	]	PUNCT
ejpam-6486	32	25	who	who	PRON
ejpam-6486	32	26	introduced	introduce	VERB
ejpam-6486	32	27	h	h	ADJ
ejpam-6486	32	28	-	-	PUNCT
ejpam-6486	32	29	contractive	contractive	ADJ
ejpam-6486	32	30	mappings	mapping	NOUN
ejpam-6486	32	31	.	.	PUNCT
ejpam-6486	33	1	more	more	ADV
ejpam-6486	33	2	recently	recently	ADV
ejpam-6486	33	3	,	,	PUNCT
ejpam-6486	33	4	melliani	melliani	ADJ
ejpam-6486	33	5	and	and	CCONJ
ejpam-6486	33	6	moussaoui	moussaoui	NOUN
ejpam-6486	34	1	[	[	X
ejpam-6486	34	2	17	17	NUM
ejpam-6486	34	3	]	]	X
ejpam-6486	34	4	advanced	advance	VERB
ejpam-6486	34	5	the	the	DET
ejpam-6486	34	6	field	field	NOUN
ejpam-6486	34	7	by	by	ADP
ejpam-6486	34	8	adapting	adapt	VERB
ejpam-6486	34	9	the	the	DET
ejpam-6486	34	10	simulation	simulation	NOUN
ejpam-6486	34	11	function	function	NOUN
ejpam-6486	34	12	methodology	methodology	NOUN
ejpam-6486	34	13	to	to	ADP
ejpam-6486	34	14	fuzzy	fuzzy	ADJ
ejpam-6486	34	15	metric	metric	ADJ
ejpam-6486	34	16	spaces	space	NOUN
ejpam-6486	34	17	,	,	PUNCT
ejpam-6486	34	18	proposing	propose	VERB
ejpam-6486	34	19	the	the	DET
ejpam-6486	34	20	notion	notion	NOUN
ejpam-6486	34	21	of	of	ADP
ejpam-6486	34	22	fz	fz	NOUN
ejpam-6486	34	23	-	-	PUNCT
ejpam-6486	34	24	contractions	contraction	NOUN
ejpam-6486	34	25	.	.	PUNCT
ejpam-6486	35	1	an	an	DET
ejpam-6486	35	2	extensive	extensive	ADJ
ejpam-6486	35	3	corpus	corpus	NOUN
ejpam-6486	35	4	of	of	ADP
ejpam-6486	35	5	literature	literature	NOUN
ejpam-6486	35	6	on	on	ADP
ejpam-6486	35	7	various	various	ADJ
ejpam-6486	35	8	contraction	contraction	NOUN
ejpam-6486	35	9	types	type	NOUN
ejpam-6486	35	10	in	in	ADP
ejpam-6486	35	11	fuzzy	fuzzy	ADJ
ejpam-6486	35	12	metric	metric	ADJ
ejpam-6486	35	13	spaces	space	NOUN
ejpam-6486	35	14	has	have	AUX
ejpam-6486	35	15	since	since	SCONJ
ejpam-6486	35	16	emerged	emerge	VERB
ejpam-6486	35	17	,	,	PUNCT
ejpam-6486	35	18	including	include	VERB
ejpam-6486	35	19	important	important	ADJ
ejpam-6486	35	20	works	work	NOUN
ejpam-6486	35	21	such	such	ADJ
ejpam-6486	35	22	as	as	ADP
ejpam-6486	35	23	[	[	X
ejpam-6486	35	24	3	3	NUM
ejpam-6486	35	25	,	,	PUNCT
ejpam-6486	35	26	5	5	NUM
ejpam-6486	35	27	,	,	PUNCT
ejpam-6486	35	28	18–32	18–32	NUM
ejpam-6486	35	29	]	]	PUNCT
ejpam-6486	35	30	.	.	PUNCT
ejpam-6486	36	1	to	to	PART
ejpam-6486	36	2	establish	establish	VERB
ejpam-6486	36	3	our	our	PRON
ejpam-6486	36	4	main	main	ADJ
ejpam-6486	36	5	results	result	NOUN
ejpam-6486	36	6	,	,	PUNCT
ejpam-6486	36	7	we	we	PRON
ejpam-6486	36	8	begin	begin	VERB
ejpam-6486	36	9	by	by	ADP
ejpam-6486	36	10	recalling	recall	VERB
ejpam-6486	36	11	essential	essential	ADJ
ejpam-6486	36	12	concepts	concept	NOUN
ejpam-6486	36	13	from	from	ADP
ejpam-6486	36	14	the	the	DET
ejpam-6486	36	15	theory	theory	NOUN
ejpam-6486	36	16	of	of	ADP
ejpam-6486	36	17	binary	binary	PROPN
ejpam-6486	36	18	relations	relation	NOUN
ejpam-6486	36	19	,	,	PUNCT
ejpam-6486	36	20	including	include	VERB
ejpam-6486	36	21	definitions	definition	NOUN
ejpam-6486	36	22	and	and	CCONJ
ejpam-6486	36	23	key	key	ADJ
ejpam-6486	36	24	properties	property	NOUN
ejpam-6486	36	25	that	that	PRON
ejpam-6486	36	26	will	will	AUX
ejpam-6486	36	27	be	be	AUX
ejpam-6486	36	28	used	use	VERB
ejpam-6486	36	29	throughout	throughout	ADP
ejpam-6486	36	30	the	the	DET
ejpam-6486	36	31	work	work	NOUN
ejpam-6486	36	32	.	.	PUNCT
ejpam-6486	37	1	definition	definition	NOUN
ejpam-6486	37	2	1	1	NUM
ejpam-6486	37	3	.	.	PUNCT
ejpam-6486	38	1	a	a	DET
ejpam-6486	38	2	binary	binary	ADJ
ejpam-6486	38	3	relation	relation	NOUN
ejpam-6486	38	4	r	r	NOUN
ejpam-6486	38	5	on	on	ADP
ejpam-6486	38	6	a	a	DET
ejpam-6486	38	7	non	non	ADJ
ejpam-6486	38	8	-	-	ADJ
ejpam-6486	38	9	empty	empty	ADJ
ejpam-6486	38	10	set	set	NOUN
ejpam-6486	38	11	e	e	NOUN
ejpam-6486	38	12	is	be	AUX
ejpam-6486	38	13	defined	define	VERB
ejpam-6486	38	14	as	as	ADP
ejpam-6486	38	15	a	a	DET
ejpam-6486	38	16	subset	subset	NOUN
ejpam-6486	38	17	of	of	ADP
ejpam-6486	38	18	e	e	PROPN
ejpam-6486	38	19	×	×	PROPN
ejpam-6486	38	20	e.	e.	PROPN
ejpam-6486	38	21	a.	a.	PROPN
ejpam-6486	38	22	moussaoui	moussaoui	PROPN
ejpam-6486	38	23	,	,	PUNCT
ejpam-6486	38	24	m.	m.	NOUN
ejpam-6486	38	25	pantović	pantović	NOUN
ejpam-6486	38	26	,	,	PUNCT
ejpam-6486	38	27	s.	s.	PROPN
ejpam-6486	38	28	radenović	radenović	PROPN
ejpam-6486	38	29	/	/	SYM
ejpam-6486	38	30	eur	eur	PROPN
ejpam-6486	38	31	.	.	PUNCT
ejpam-6486	39	1	j.	j.	PROPN
ejpam-6486	39	2	pure	pure	PROPN
ejpam-6486	39	3	appl	appl	PROPN
ejpam-6486	39	4	.	.	PROPN
ejpam-6486	39	5	math	math	PROPN
ejpam-6486	39	6	,	,	PUNCT
ejpam-6486	39	7	18	18	NUM
ejpam-6486	39	8	(	(	PUNCT
ejpam-6486	39	9	3	3	NUM
ejpam-6486	39	10	)	)	PUNCT
ejpam-6486	39	11	(	(	PUNCT
ejpam-6486	39	12	2025	2025	NUM
ejpam-6486	39	13	)	)	PUNCT
ejpam-6486	39	14	,	,	PUNCT
ejpam-6486	39	15	6486	6486	NUM
ejpam-6486	39	16	3	3	NUM
ejpam-6486	39	17	of	of	ADP
ejpam-6486	39	18	18	18	NUM
ejpam-6486	39	19	for	for	ADP
ejpam-6486	39	20	any	any	DET
ejpam-6486	39	21	s	s	NOUN
ejpam-6486	39	22	,	,	PUNCT
ejpam-6486	39	23	t	t	PROPN
ejpam-6486	39	24	∈	∈	PROPN
ejpam-6486	39	25	e	e	NOUN
ejpam-6486	39	26	,	,	PUNCT
ejpam-6486	39	27	if	if	SCONJ
ejpam-6486	39	28	(	(	PUNCT
ejpam-6486	39	29	s	s	X
ejpam-6486	39	30	,	,	PUNCT
ejpam-6486	39	31	t	t	PROPN
ejpam-6486	39	32	)	)	PUNCT
ejpam-6486	39	33	∈	∈	PROPN
ejpam-6486	39	34	r	r	NOUN
ejpam-6486	39	35	,	,	PUNCT
ejpam-6486	39	36	we	we	PRON
ejpam-6486	39	37	say	say	VERB
ejpam-6486	39	38	that	that	PRON
ejpam-6486	39	39	s	s	VERB
ejpam-6486	39	40	is	be	AUX
ejpam-6486	39	41	related	relate	VERB
ejpam-6486	39	42	to	to	ADP
ejpam-6486	39	43	t	t	PROPN
ejpam-6486	39	44	via	via	ADP
ejpam-6486	39	45	r	r	NOUN
ejpam-6486	39	46	,	,	PUNCT
ejpam-6486	39	47	often	often	ADV
ejpam-6486	39	48	denoted	denote	VERB
ejpam-6486	39	49	srt	srt	NOUN
ejpam-6486	39	50	.	.	PUNCT
ejpam-6486	40	1	furthermore	furthermore	ADV
ejpam-6486	40	2	,	,	PUNCT
ejpam-6486	40	3	if	if	SCONJ
ejpam-6486	40	4	either	either	CCONJ
ejpam-6486	40	5	(	(	PUNCT
ejpam-6486	40	6	s	s	PROPN
ejpam-6486	40	7	,	,	PUNCT
ejpam-6486	40	8	t	t	PROPN
ejpam-6486	40	9	)	)	PUNCT
ejpam-6486	40	10	∈	∈	PROPN
ejpam-6486	40	11	r	r	NOUN
ejpam-6486	40	12	or	or	CCONJ
ejpam-6486	40	13	(	(	PUNCT
ejpam-6486	40	14	t	t	PROPN
ejpam-6486	40	15	,	,	PUNCT
ejpam-6486	40	16	s	s	PART
ejpam-6486	40	17	)	)	PUNCT
ejpam-6486	40	18	∈	∈	PROPN
ejpam-6486	40	19	r	r	NOUN
ejpam-6486	40	20	,	,	PUNCT
ejpam-6486	40	21	this	this	PRON
ejpam-6486	40	22	is	be	AUX
ejpam-6486	40	23	indicated	indicate	VERB
ejpam-6486	40	24	by	by	ADP
ejpam-6486	40	25	[	[	X
ejpam-6486	40	26	s	s	X
ejpam-6486	40	27	,	,	PUNCT
ejpam-6486	40	28	t	t	PROPN
ejpam-6486	40	29	]	]	X
ejpam-6486	40	30	∈	∈	PROPN
ejpam-6486	40	31	r.	r.	PROPN
ejpam-6486	40	32	note	note	VERB
ejpam-6486	40	33	that	that	SCONJ
ejpam-6486	40	34	the	the	DET
ejpam-6486	40	35	cartesian	cartesian	ADJ
ejpam-6486	40	36	product	product	NOUN
ejpam-6486	40	37	e	e	X
ejpam-6486	40	38	×	×	NOUN
ejpam-6486	40	39	e	e	NOUN
ejpam-6486	40	40	defines	define	VERB
ejpam-6486	40	41	the	the	DET
ejpam-6486	40	42	universal	universal	ADJ
ejpam-6486	40	43	relation	relation	NOUN
ejpam-6486	40	44	on	on	ADP
ejpam-6486	40	45	e	e	NOUN
ejpam-6486	40	46	,	,	PUNCT
ejpam-6486	40	47	while	while	SCONJ
ejpam-6486	40	48	the	the	DET
ejpam-6486	40	49	empty	empty	ADJ
ejpam-6486	40	50	set	set	VERB
ejpam-6486	40	51	∅	∅	NOUN
ejpam-6486	40	52	represents	represent	VERB
ejpam-6486	40	53	the	the	DET
ejpam-6486	40	54	empty	empty	ADJ
ejpam-6486	40	55	relation	relation	NOUN
ejpam-6486	40	56	.	.	PUNCT
ejpam-6486	41	1	a	a	DET
ejpam-6486	41	2	binary	binary	ADJ
ejpam-6486	41	3	relation	relation	NOUN
ejpam-6486	41	4	r	r	NOUN
ejpam-6486	41	5	on	on	ADP
ejpam-6486	41	6	a	a	DET
ejpam-6486	41	7	nonempty	nonempty	ADJ
ejpam-6486	41	8	set	set	VERB
ejpam-6486	41	9	e	e	NOUN
ejpam-6486	41	10	is	be	AUX
ejpam-6486	41	11	said	say	VERB
ejpam-6486	41	12	to	to	PART
ejpam-6486	41	13	have	have	VERB
ejpam-6486	41	14	the	the	DET
ejpam-6486	41	15	following	follow	VERB
ejpam-6486	41	16	properties	property	NOUN
ejpam-6486	41	17	:	:	PUNCT
ejpam-6486	41	18	the	the	DET
ejpam-6486	41	19	relation	relation	NOUN
ejpam-6486	41	20	r	r	NOUN
ejpam-6486	41	21	is	be	AUX
ejpam-6486	41	22	reflexive	reflexive	ADJ
ejpam-6486	41	23	if	if	SCONJ
ejpam-6486	41	24	for	for	ADP
ejpam-6486	41	25	every	every	DET
ejpam-6486	41	26	s	s	X
ejpam-6486	41	27	∈	∈	NOUN
ejpam-6486	41	28	e	e	NOUN
ejpam-6486	41	29	,	,	PUNCT
ejpam-6486	41	30	we	we	PRON
ejpam-6486	41	31	have	have	VERB
ejpam-6486	41	32	srs	srs	PROPN
ejpam-6486	41	33	.	.	PUNCT
ejpam-6486	42	1	it	it	PRON
ejpam-6486	42	2	is	be	AUX
ejpam-6486	42	3	transitive	transitive	ADJ
ejpam-6486	42	4	if	if	SCONJ
ejpam-6486	42	5	whenever	whenever	SCONJ
ejpam-6486	42	6	srt	srt	NOUN
ejpam-6486	42	7	and	and	CCONJ
ejpam-6486	42	8	trr	trr	NOUN
ejpam-6486	42	9	,	,	PUNCT
ejpam-6486	42	10	it	it	PRON
ejpam-6486	42	11	follows	follow	VERB
ejpam-6486	42	12	that	that	SCONJ
ejpam-6486	42	13	srr	srr	PROPN
ejpam-6486	42	14	for	for	ADP
ejpam-6486	42	15	all	all	PRON
ejpam-6486	42	16	s	s	PROPN
ejpam-6486	42	17	,	,	PUNCT
ejpam-6486	42	18	t	t	PROPN
ejpam-6486	42	19	,	,	PUNCT
ejpam-6486	42	20	r	r	NOUN
ejpam-6486	42	21	∈	∈	PROPN
ejpam-6486	42	22	e	e	NOUN
ejpam-6486	42	23	.	.	PUNCT
ejpam-6486	43	1	the	the	DET
ejpam-6486	43	2	relation	relation	NOUN
ejpam-6486	43	3	is	be	AUX
ejpam-6486	43	4	antisymmetric	antisymmetric	ADJ
ejpam-6486	43	5	if	if	SCONJ
ejpam-6486	43	6	for	for	ADP
ejpam-6486	43	7	all	all	DET
ejpam-6486	43	8	s	s	PROPN
ejpam-6486	43	9	,	,	PUNCT
ejpam-6486	43	10	t	t	PROPN
ejpam-6486	43	11	∈	∈	PROPN
ejpam-6486	43	12	e	e	PROPN
ejpam-6486	43	13	,	,	PUNCT
ejpam-6486	43	14	the	the	DET
ejpam-6486	43	15	conditions	condition	NOUN
ejpam-6486	43	16	srt	srt	VERB
ejpam-6486	43	17	and	and	CCONJ
ejpam-6486	43	18	trs	trs	PROPN
ejpam-6486	43	19	imply	imply	NOUN
ejpam-6486	43	20	s	s	VERB
ejpam-6486	43	21	=	=	NOUN
ejpam-6486	43	22	t.	t.	NOUN
ejpam-6486	43	23	additionally	additionally	ADV
ejpam-6486	43	24	,	,	PUNCT
ejpam-6486	43	25	r	r	NOUN
ejpam-6486	43	26	is	be	AUX
ejpam-6486	43	27	complete	complete	ADJ
ejpam-6486	43	28	if	if	SCONJ
ejpam-6486	43	29	for	for	ADP
ejpam-6486	43	30	every	every	DET
ejpam-6486	43	31	s	s	PROPN
ejpam-6486	43	32	,	,	PUNCT
ejpam-6486	43	33	t	t	PROPN
ejpam-6486	43	34	∈	∈	PROPN
ejpam-6486	43	35	e	e	PROPN
ejpam-6486	43	36	,	,	PUNCT
ejpam-6486	43	37	the	the	DET
ejpam-6486	43	38	pair	pair	NOUN
ejpam-6486	44	1	[	[	X
ejpam-6486	44	2	s	s	X
ejpam-6486	44	3	,	,	PUNCT
ejpam-6486	44	4	t	t	PROPN
ejpam-6486	44	5	]	]	PUNCT
ejpam-6486	44	6	belongs	belong	VERB
ejpam-6486	44	7	to	to	ADP
ejpam-6486	44	8	r.	r.	PROPN
ejpam-6486	44	9	finally	finally	ADV
ejpam-6486	44	10	,	,	PUNCT
ejpam-6486	44	11	given	give	VERB
ejpam-6486	44	12	a	a	DET
ejpam-6486	44	13	self	self	NOUN
ejpam-6486	44	14	-	-	PUNCT
ejpam-6486	44	15	mapping	mapping	NOUN
ejpam-6486	44	16	k	k	NOUN
ejpam-6486	44	17	:	:	PUNCT
ejpam-6486	44	18	e	e	X
ejpam-6486	44	19	→	→	SYM
ejpam-6486	44	20	e	e	PROPN
ejpam-6486	44	21	,	,	PUNCT
ejpam-6486	44	22	the	the	DET
ejpam-6486	44	23	relation	relation	NOUN
ejpam-6486	44	24	r	r	NOUN
ejpam-6486	44	25	is	be	AUX
ejpam-6486	44	26	said	say	VERB
ejpam-6486	44	27	to	to	PART
ejpam-6486	44	28	be	be	AUX
ejpam-6486	44	29	k	k	NOUN
ejpam-6486	44	30	-	-	ADJ
ejpam-6486	44	31	closed	closed	ADJ
ejpam-6486	44	32	if	if	SCONJ
ejpam-6486	44	33	whenever	whenever	ADV
ejpam-6486	44	34	(	(	PUNCT
ejpam-6486	44	35	s	s	X
ejpam-6486	44	36	,	,	PUNCT
ejpam-6486	44	37	t	t	PROPN
ejpam-6486	44	38	)	)	PUNCT
ejpam-6486	44	39	∈	∈	PROPN
ejpam-6486	44	40	r	r	NOUN
ejpam-6486	44	41	,	,	PUNCT
ejpam-6486	44	42	it	it	PRON
ejpam-6486	44	43	follows	follow	VERB
ejpam-6486	44	44	that	that	SCONJ
ejpam-6486	44	45	(	(	PUNCT
ejpam-6486	44	46	ks	ks	NOUN
ejpam-6486	44	47	,	,	PUNCT
ejpam-6486	44	48	kt	kt	PROPN
ejpam-6486	44	49	)	)	PUNCT
ejpam-6486	44	50	∈	∈	PROPN
ejpam-6486	44	51	r	r	NOUN
ejpam-6486	44	52	for	for	ADP
ejpam-6486	44	53	all	all	DET
ejpam-6486	44	54	s	s	PROPN
ejpam-6486	44	55	,	,	PUNCT
ejpam-6486	44	56	t	t	PROPN
ejpam-6486	44	57	∈	∈	PROPN
ejpam-6486	44	58	e	e	X
ejpam-6486	44	59	.	.	PUNCT
ejpam-6486	45	1	definition	definition	NOUN
ejpam-6486	45	2	2	2	NUM
ejpam-6486	45	3	.	.	PUNCT
ejpam-6486	46	1	[	[	X
ejpam-6486	46	2	4	4	X
ejpam-6486	46	3	]	]	PUNCT
ejpam-6486	46	4	let	let	VERB
ejpam-6486	46	5	e	e	PRON
ejpam-6486	46	6	be	be	AUX
ejpam-6486	46	7	a	a	DET
ejpam-6486	46	8	nonempty	nonempty	ADV
ejpam-6486	46	9	set	set	VERB
ejpam-6486	46	10	and	and	CCONJ
ejpam-6486	46	11	r	r	NOUN
ejpam-6486	46	12	a	a	DET
ejpam-6486	46	13	binary	binary	ADJ
ejpam-6486	46	14	relation	relation	NOUN
ejpam-6486	46	15	on	on	ADP
ejpam-6486	46	16	e.	e.	PROPN
ejpam-6486	46	17	a	a	DET
ejpam-6486	46	18	sequence	sequence	NOUN
ejpam-6486	46	19	{	{	PUNCT
ejpam-6486	46	20	sq	sq	ADJ
ejpam-6486	46	21	}	}	PUNCT
ejpam-6486	46	22	⊆	⊆	NUM
ejpam-6486	46	23	e	e	NOUN
ejpam-6486	46	24	is	be	AUX
ejpam-6486	46	25	called	call	VERB
ejpam-6486	46	26	r	r	NOUN
ejpam-6486	46	27	-	-	PUNCT
ejpam-6486	46	28	preserving	preserving	ADJ
ejpam-6486	46	29	if	if	SCONJ
ejpam-6486	46	30	(	(	PUNCT
ejpam-6486	46	31	sq	sq	ADJ
ejpam-6486	46	32	,	,	PUNCT
ejpam-6486	46	33	sq+1	sq+1	ADJ
ejpam-6486	46	34	)	)	PUNCT
ejpam-6486	46	35	∈	∈	PROPN
ejpam-6486	46	36	r	r	NOUN
ejpam-6486	46	37	for	for	ADP
ejpam-6486	46	38	every	every	DET
ejpam-6486	46	39	q	q	PROPN
ejpam-6486	46	40	∈	∈	PROPN
ejpam-6486	46	41	n.	n.	NOUN
ejpam-6486	46	42	definition	definition	NOUN
ejpam-6486	46	43	3	3	NUM
ejpam-6486	46	44	.	.	PUNCT
ejpam-6486	47	1	[	[	X
ejpam-6486	47	2	33	33	NUM
ejpam-6486	47	3	]	]	PUNCT
ejpam-6486	47	4	a	a	DET
ejpam-6486	47	5	continuous	continuous	ADJ
ejpam-6486	47	6	function	function	NOUN
ejpam-6486	47	7	⋏	⋏	PROPN
ejpam-6486	47	8	:	:	PUNCT
ejpam-6486	48	1	[	[	X
ejpam-6486	48	2	0	0	NUM
ejpam-6486	48	3	,	,	PUNCT
ejpam-6486	48	4	1]×	1]×	NUM
ejpam-6486	48	5	[	[	X
ejpam-6486	48	6	0	0	NUM
ejpam-6486	48	7	,	,	PUNCT
ejpam-6486	48	8	1	1	NUM
ejpam-6486	48	9	]	]	PUNCT
ejpam-6486	48	10	→	→	PUNCT
ejpam-6486	48	11	[	[	X
ejpam-6486	48	12	0	0	NUM
ejpam-6486	48	13	,	,	PUNCT
ejpam-6486	48	14	1	1	NUM
ejpam-6486	48	15	]	]	PUNCT
ejpam-6486	48	16	is	be	AUX
ejpam-6486	48	17	called	call	VERB
ejpam-6486	48	18	a	a	DET
ejpam-6486	48	19	t	t	NOUN
ejpam-6486	48	20	-	-	PUNCT
ejpam-6486	48	21	norm	norm	NOUN
ejpam-6486	48	22	if	if	SCONJ
ejpam-6486	48	23	it	it	PRON
ejpam-6486	48	24	is	be	AUX
ejpam-6486	48	25	commutative	commutative	ADJ
ejpam-6486	48	26	,	,	PUNCT
ejpam-6486	48	27	associative	associative	ADJ
ejpam-6486	48	28	,	,	PUNCT
ejpam-6486	48	29	and	and	CCONJ
ejpam-6486	48	30	satisfies	satisfie	NOUN
ejpam-6486	48	31	:	:	PUNCT
ejpam-6486	48	32	(	(	PUNCT
ejpam-6486	48	33	i	i	NOUN
ejpam-6486	48	34	)	)	PUNCT
ejpam-6486	48	35	for	for	ADP
ejpam-6486	48	36	every	every	DET
ejpam-6486	48	37	℘1	℘1	VERB
ejpam-6486	48	38	∈	∈	PROPN
ejpam-6486	49	1	[	[	X
ejpam-6486	49	2	0	0	NUM
ejpam-6486	49	3	,	,	PUNCT
ejpam-6486	49	4	1	1	NUM
ejpam-6486	49	5	]	]	PUNCT
ejpam-6486	49	6	,	,	PUNCT
ejpam-6486	49	7	℘1	℘1	VERB
ejpam-6486	49	8	⋏	⋏	PROPN
ejpam-6486	49	9	1	1	NUM
ejpam-6486	49	10	=	=	SYM
ejpam-6486	49	11	℘1	℘1	NOUN
ejpam-6486	49	12	,	,	PUNCT
ejpam-6486	49	13	(	(	PUNCT
ejpam-6486	49	14	ii	ii	NOUN
ejpam-6486	49	15	)	)	PUNCT
ejpam-6486	49	16	for	for	ADP
ejpam-6486	49	17	all	all	DET
ejpam-6486	49	18	℘1	℘1	NOUN
ejpam-6486	49	19	,	,	PUNCT
ejpam-6486	49	20	℘2	℘2	PROPN
ejpam-6486	49	21	,	,	PUNCT
ejpam-6486	49	22	℘3	℘3	ADJ
ejpam-6486	49	23	,	,	PUNCT
ejpam-6486	49	24	℘4	℘4	NOUN
ejpam-6486	49	25	∈	∈	PROPN
ejpam-6486	50	1	[	[	X
ejpam-6486	50	2	0	0	NUM
ejpam-6486	50	3	,	,	PUNCT
ejpam-6486	50	4	1	1	NUM
ejpam-6486	50	5	]	]	PUNCT
ejpam-6486	50	6	,	,	PUNCT
ejpam-6486	50	7	if	if	SCONJ
ejpam-6486	50	8	℘1	℘1	NOUN
ejpam-6486	50	9	≤	≤	NUM
ejpam-6486	50	10	℘3	℘3	ADJ
ejpam-6486	50	11	and	and	CCONJ
ejpam-6486	50	12	℘2	℘2	PROPN
ejpam-6486	50	13	≤	≤	PROPN
ejpam-6486	50	14	℘4	℘4	PROPN
ejpam-6486	50	15	,	,	PUNCT
ejpam-6486	50	16	then	then	ADV
ejpam-6486	50	17	℘1	℘1	VERB
ejpam-6486	50	18	⋏	⋏	PROPN
ejpam-6486	50	19	℘2	℘2	PROPN
ejpam-6486	50	20	≤	≤	NUM
ejpam-6486	50	21	℘3	℘3	PROPN
ejpam-6486	50	22	⋏	⋏	PROPN
ejpam-6486	50	23	℘4	℘4	PROPN
ejpam-6486	50	24	.	.	PUNCT
ejpam-6486	50	25	example	example	NOUN
ejpam-6486	51	1	1	1	NUM
ejpam-6486	51	2	.	.	X
ejpam-6486	52	1	some	some	DET
ejpam-6486	52	2	standard	standard	ADJ
ejpam-6486	52	3	continuous	continuous	ADJ
ejpam-6486	52	4	t	t	NOUN
ejpam-6486	52	5	-	-	PUNCT
ejpam-6486	52	6	norms	norm	NOUN
ejpam-6486	52	7	are	be	AUX
ejpam-6486	52	8	:	:	PUNCT
ejpam-6486	52	9	(	(	PUNCT
ejpam-6486	52	10	1	1	X
ejpam-6486	52	11	)	)	PUNCT
ejpam-6486	52	12	minimum	minimum	NOUN
ejpam-6486	52	13	t	t	NOUN
ejpam-6486	52	14	-	-	PUNCT
ejpam-6486	52	15	norm	norm	NOUN
ejpam-6486	52	16	:	:	PUNCT
ejpam-6486	52	17	℘1	℘1	VERB
ejpam-6486	52	18	⋏m	⋏m	NOUN
ejpam-6486	52	19	℘2	℘2	NOUN
ejpam-6486	52	20	=	=	SYM
ejpam-6486	52	21	min{℘1	min{℘1	PROPN
ejpam-6486	52	22	,	,	PUNCT
ejpam-6486	52	23	℘2	℘2	PROPN
ejpam-6486	52	24	}	}	PUNCT
ejpam-6486	52	25	,	,	PUNCT
ejpam-6486	52	26	(	(	PUNCT
ejpam-6486	52	27	2	2	X
ejpam-6486	52	28	)	)	PUNCT
ejpam-6486	52	29	lukasiewicz	lukasiewicz	VERB
ejpam-6486	52	30	t	t	PROPN
ejpam-6486	52	31	-	-	PUNCT
ejpam-6486	52	32	norm	norm	NOUN
ejpam-6486	52	33	:	:	PUNCT
ejpam-6486	52	34	℘1	℘1	VERB
ejpam-6486	52	35	⋏l	⋏l	PROPN
ejpam-6486	52	36	℘2	℘2	NOUN
ejpam-6486	52	37	=	=	SYM
ejpam-6486	52	38	max{℘1	max{℘1	PROPN
ejpam-6486	52	39	+	+	NUM
ejpam-6486	52	40	℘2	℘2	NOUN
ejpam-6486	52	41	−	−	PROPN
ejpam-6486	52	42	1	1	NUM
ejpam-6486	52	43	,	,	PUNCT
ejpam-6486	52	44	0	0	NUM
ejpam-6486	52	45	}	}	PUNCT
ejpam-6486	52	46	,	,	PUNCT
ejpam-6486	52	47	(	(	PUNCT
ejpam-6486	52	48	3	3	X
ejpam-6486	52	49	)	)	PUNCT
ejpam-6486	52	50	product	product	NOUN
ejpam-6486	52	51	t	t	NOUN
ejpam-6486	52	52	-	-	PUNCT
ejpam-6486	52	53	norm	norm	NOUN
ejpam-6486	52	54	:	:	PUNCT
ejpam-6486	52	55	℘1	℘1	VERB
ejpam-6486	52	56	⋏p	⋏p	PROPN
ejpam-6486	52	57	℘2	℘2	PROPN
ejpam-6486	52	58	=	=	PUNCT
ejpam-6486	52	59	℘1	℘1	PROPN
ejpam-6486	52	60	·	·	SYM
ejpam-6486	52	61	℘2	℘2	NOUN
ejpam-6486	52	62	,	,	PUNCT
ejpam-6486	52	63	for	for	ADP
ejpam-6486	52	64	all	all	DET
ejpam-6486	52	65	℘1	℘1	NOUN
ejpam-6486	52	66	,	,	PUNCT
ejpam-6486	52	67	℘2	℘2	NOUN
ejpam-6486	52	68	∈	∈	PROPN
ejpam-6486	53	1	[	[	X
ejpam-6486	53	2	0	0	NUM
ejpam-6486	53	3	,	,	PUNCT
ejpam-6486	53	4	1	1	NUM
ejpam-6486	53	5	]	]	PUNCT
ejpam-6486	53	6	.	.	PUNCT
ejpam-6486	54	1	definition	definition	NOUN
ejpam-6486	54	2	4	4	NUM
ejpam-6486	54	3	.	.	PUNCT
ejpam-6486	55	1	[	[	X
ejpam-6486	55	2	13	13	NUM
ejpam-6486	55	3	]	]	PUNCT
ejpam-6486	55	4	let	let	VERB
ejpam-6486	55	5	e	e	PRON
ejpam-6486	55	6	be	be	AUX
ejpam-6486	55	7	a	a	DET
ejpam-6486	55	8	non	non	ADJ
ejpam-6486	55	9	-	-	ADJ
ejpam-6486	55	10	empty	empty	ADJ
ejpam-6486	55	11	set	set	NOUN
ejpam-6486	55	12	,	,	PUNCT
ejpam-6486	55	13	⋏	⋏	PROPN
ejpam-6486	55	14	a	a	DET
ejpam-6486	55	15	continuous	continuous	ADJ
ejpam-6486	55	16	t	t	NOUN
ejpam-6486	55	17	-	-	PUNCT
ejpam-6486	55	18	norm	norm	NOUN
ejpam-6486	55	19	,	,	PUNCT
ejpam-6486	55	20	and	and	CCONJ
ejpam-6486	55	21	p	p	NOUN
ejpam-6486	55	22	:	:	PUNCT
ejpam-6486	55	23	e2	e2	PROPN
ejpam-6486	55	24	×	×	PROPN
ejpam-6486	55	25	(	(	PUNCT
ejpam-6486	55	26	0,+∞	0,+∞	NUM
ejpam-6486	55	27	)	)	PUNCT
ejpam-6486	55	28	→	→	PUNCT
ejpam-6486	56	1	[	[	X
ejpam-6486	56	2	0	0	NUM
ejpam-6486	56	3	,	,	PUNCT
ejpam-6486	56	4	1	1	NUM
ejpam-6486	56	5	]	]	PUNCT
ejpam-6486	56	6	a	a	DET
ejpam-6486	56	7	fuzzy	fuzzy	ADJ
ejpam-6486	56	8	set	set	NOUN
ejpam-6486	56	9	.	.	PUNCT
ejpam-6486	57	1	the	the	DET
ejpam-6486	57	2	triple	triple	ADJ
ejpam-6486	57	3	(	(	PUNCT
ejpam-6486	57	4	e	e	NOUN
ejpam-6486	57	5	,	,	PUNCT
ejpam-6486	57	6	p,⋏	p,⋏	NOUN
ejpam-6486	57	7	)	)	PUNCT
ejpam-6486	57	8	is	be	AUX
ejpam-6486	57	9	called	call	VERB
ejpam-6486	57	10	a	a	DET
ejpam-6486	57	11	fuzzy	fuzzy	ADJ
ejpam-6486	57	12	metric	metric	ADJ
ejpam-6486	57	13	space	space	NOUN
ejpam-6486	57	14	if	if	SCONJ
ejpam-6486	57	15	for	for	ADP
ejpam-6486	57	16	all	all	DET
ejpam-6486	57	17	s	s	PROPN
ejpam-6486	57	18	,	,	PUNCT
ejpam-6486	57	19	t	t	PROPN
ejpam-6486	57	20	,	,	PUNCT
ejpam-6486	57	21	r	r	NOUN
ejpam-6486	57	22	∈	∈	PROPN
ejpam-6486	57	23	e	e	NOUN
ejpam-6486	57	24	and	and	CCONJ
ejpam-6486	57	25	ℑ	ℑ	PROPN
ejpam-6486	57	26	,	,	PUNCT
ejpam-6486	57	27	κ	κ	X
ejpam-6486	57	28	>	>	X
ejpam-6486	57	29	0	0	PROPN
ejpam-6486	57	30	,	,	PUNCT
ejpam-6486	57	31	the	the	DET
ejpam-6486	57	32	following	follow	VERB
ejpam-6486	57	33	conditions	condition	NOUN
ejpam-6486	57	34	hold	hold	VERB
ejpam-6486	57	35	:	:	PUNCT
ejpam-6486	57	36	(	(	PUNCT
ejpam-6486	57	37	m1	m1	NOUN
ejpam-6486	57	38	)	)	PUNCT
ejpam-6486	57	39	p(s	p(s	NOUN
ejpam-6486	57	40	,	,	PUNCT
ejpam-6486	57	41	t,ℑ	t,ℑ	PROPN
ejpam-6486	57	42	)	)	PUNCT
ejpam-6486	57	43	>	>	X
ejpam-6486	57	44	0	0	NUM
ejpam-6486	57	45	,	,	PUNCT
ejpam-6486	57	46	(	(	PUNCT
ejpam-6486	57	47	m2	m2	PROPN
ejpam-6486	57	48	)	)	PUNCT
ejpam-6486	57	49	p(s	p(s	NOUN
ejpam-6486	57	50	,	,	PUNCT
ejpam-6486	57	51	t,ℑ	t,ℑ	PROPN
ejpam-6486	57	52	)	)	PUNCT
ejpam-6486	57	53	=	=	SYM
ejpam-6486	57	54	1	1	NUM
ejpam-6486	57	55	if	if	SCONJ
ejpam-6486	57	56	and	and	CCONJ
ejpam-6486	57	57	only	only	ADV
ejpam-6486	57	58	if	if	SCONJ
ejpam-6486	57	59	s	s	PROPN
ejpam-6486	57	60	=	=	SYM
ejpam-6486	57	61	t	t	PROPN
ejpam-6486	57	62	,	,	PUNCT
ejpam-6486	57	63	(	(	PUNCT
ejpam-6486	57	64	m3	m3	PROPN
ejpam-6486	57	65	)	)	PUNCT
ejpam-6486	57	66	p(s	p(s	NOUN
ejpam-6486	57	67	,	,	PUNCT
ejpam-6486	57	68	t,ℑ	t,ℑ	PROPN
ejpam-6486	57	69	)	)	PUNCT
ejpam-6486	57	70	=	=	SYM
ejpam-6486	57	71	p(t	p(t	NOUN
ejpam-6486	57	72	,	,	PUNCT
ejpam-6486	57	73	s,ℑ	s,ℑ	PROPN
ejpam-6486	57	74	)	)	PUNCT
ejpam-6486	57	75	,	,	PUNCT
ejpam-6486	57	76	(	(	PUNCT
ejpam-6486	57	77	m4	m4	NOUN
ejpam-6486	57	78	)	)	PUNCT
ejpam-6486	57	79	p(s	p(s	NOUN
ejpam-6486	57	80	,	,	PUNCT
ejpam-6486	57	81	t,ℑ)⋏p(t	t,ℑ)⋏p(t	NOUN
ejpam-6486	57	82	,	,	PUNCT
ejpam-6486	57	83	r	r	NOUN
ejpam-6486	57	84	,	,	PUNCT
ejpam-6486	57	85	κ	κ	NOUN
ejpam-6486	57	86	)	)	PUNCT
ejpam-6486	57	87	≤	≤	NUM
ejpam-6486	57	88	p(s	p(s	NOUN
ejpam-6486	57	89	,	,	PUNCT
ejpam-6486	57	90	r,ℑ+	r,ℑ+	NOUN
ejpam-6486	57	91	κ	κ	NOUN
ejpam-6486	57	92	)	)	PUNCT
ejpam-6486	57	93	,	,	PUNCT
ejpam-6486	57	94	(	(	PUNCT
ejpam-6486	57	95	m5	m5	NOUN
ejpam-6486	57	96	)	)	PUNCT
ejpam-6486	57	97	the	the	DET
ejpam-6486	57	98	function	function	NOUN
ejpam-6486	57	99	p(s	p(s	NOUN
ejpam-6486	57	100	,	,	PUNCT
ejpam-6486	57	101	t	t	PROPN
ejpam-6486	57	102	,	,	PUNCT
ejpam-6486	57	103	·	·	PUNCT
ejpam-6486	57	104	)	)	PUNCT
ejpam-6486	57	105	:	:	PUNCT
ejpam-6486	57	106	(	(	PUNCT
ejpam-6486	57	107	0,+∞	0,+∞	NUM
ejpam-6486	57	108	)	)	PUNCT
ejpam-6486	57	109	→	→	PUNCT
ejpam-6486	58	1	[	[	X
ejpam-6486	58	2	0	0	NUM
ejpam-6486	58	3	,	,	PUNCT
ejpam-6486	58	4	1	1	NUM
ejpam-6486	58	5	]	]	PUNCT
ejpam-6486	58	6	is	be	AUX
ejpam-6486	58	7	continuous	continuous	ADJ
ejpam-6486	58	8	,	,	PUNCT
ejpam-6486	58	9	lemma	lemma	PROPN
ejpam-6486	58	10	1	1	NUM
ejpam-6486	58	11	.	.	PUNCT
ejpam-6486	59	1	[	[	X
ejpam-6486	59	2	19	19	NUM
ejpam-6486	59	3	]	]	PUNCT
ejpam-6486	59	4	for	for	ADP
ejpam-6486	59	5	all	all	DET
ejpam-6486	59	6	s	s	PROPN
ejpam-6486	59	7	,	,	PUNCT
ejpam-6486	59	8	t	t	PROPN
ejpam-6486	59	9	∈	∈	PROPN
ejpam-6486	59	10	e	e	NOUN
ejpam-6486	59	11	,	,	PUNCT
ejpam-6486	59	12	the	the	DET
ejpam-6486	59	13	function	function	NOUN
ejpam-6486	59	14	p(s	p(s	NOUN
ejpam-6486	59	15	,	,	PUNCT
ejpam-6486	59	16	t	t	PROPN
ejpam-6486	59	17	,	,	PUNCT
ejpam-6486	59	18	·	·	PUNCT
ejpam-6486	59	19	)	)	PUNCT
ejpam-6486	59	20	is	be	AUX
ejpam-6486	59	21	nondecreasing	nondecrease	VERB
ejpam-6486	59	22	on	on	ADP
ejpam-6486	59	23	(	(	PUNCT
ejpam-6486	59	24	0,+∞	0,+∞	NUM
ejpam-6486	59	25	)	)	PUNCT
ejpam-6486	59	26	.	.	PUNCT
ejpam-6486	60	1	definition	definition	NOUN
ejpam-6486	60	2	5	5	NUM
ejpam-6486	60	3	.	.	PUNCT
ejpam-6486	61	1	[	[	X
ejpam-6486	61	2	13	13	NUM
ejpam-6486	61	3	]	]	PUNCT
ejpam-6486	61	4	let	let	VERB
ejpam-6486	61	5	(	(	PUNCT
ejpam-6486	61	6	e	e	NOUN
ejpam-6486	61	7	,	,	PUNCT
ejpam-6486	61	8	p,⋏	p,⋏	NOUN
ejpam-6486	61	9	)	)	PUNCT
ejpam-6486	61	10	be	be	VERB
ejpam-6486	61	11	a	a	DET
ejpam-6486	61	12	fuzzy	fuzzy	ADJ
ejpam-6486	61	13	metric	metric	ADJ
ejpam-6486	61	14	space	space	NOUN
ejpam-6486	61	15	.	.	PUNCT
ejpam-6486	62	1	a.	a.	NOUN
ejpam-6486	62	2	moussaoui	moussaoui	PROPN
ejpam-6486	62	3	,	,	PUNCT
ejpam-6486	62	4	m.	m.	NOUN
ejpam-6486	62	5	pantović	pantović	NOUN
ejpam-6486	62	6	,	,	PUNCT
ejpam-6486	62	7	s.	s.	PROPN
ejpam-6486	62	8	radenović	radenović	PROPN
ejpam-6486	62	9	/	/	SYM
ejpam-6486	62	10	eur	eur	PROPN
ejpam-6486	62	11	.	.	PUNCT
ejpam-6486	63	1	j.	j.	PROPN
ejpam-6486	63	2	pure	pure	PROPN
ejpam-6486	63	3	appl	appl	PROPN
ejpam-6486	63	4	.	.	PROPN
ejpam-6486	63	5	math	math	PROPN
ejpam-6486	63	6	,	,	PUNCT
ejpam-6486	63	7	18	18	NUM
ejpam-6486	63	8	(	(	PUNCT
ejpam-6486	63	9	3	3	NUM
ejpam-6486	63	10	)	)	PUNCT
ejpam-6486	63	11	(	(	PUNCT
ejpam-6486	63	12	2025	2025	NUM
ejpam-6486	63	13	)	)	PUNCT
ejpam-6486	63	14	,	,	PUNCT
ejpam-6486	63	15	6486	6486	NUM
ejpam-6486	63	16	4	4	NUM
ejpam-6486	63	17	of	of	ADP
ejpam-6486	63	18	18	18	NUM
ejpam-6486	63	19	(	(	PUNCT
ejpam-6486	63	20	i	i	NOUN
ejpam-6486	63	21	)	)	PUNCT
ejpam-6486	63	22	a	a	DET
ejpam-6486	63	23	sequence	sequence	NOUN
ejpam-6486	63	24	{	{	PUNCT
ejpam-6486	63	25	sq	sq	ADJ
ejpam-6486	63	26	}	}	PUNCT
ejpam-6486	63	27	⊆	⊆	NUM
ejpam-6486	63	28	e	e	NOUN
ejpam-6486	63	29	is	be	AUX
ejpam-6486	63	30	said	say	VERB
ejpam-6486	63	31	to	to	PART
ejpam-6486	63	32	converge	converge	VERB
ejpam-6486	63	33	to	to	ADP
ejpam-6486	63	34	s	s	NOUN
ejpam-6486	63	35	∈	∈	NOUN
ejpam-6486	63	36	e	e	NOUN
ejpam-6486	63	37	if	if	SCONJ
ejpam-6486	64	1	and	and	CCONJ
ejpam-6486	64	2	only	only	ADV
ejpam-6486	64	3	if	if	SCONJ
ejpam-6486	64	4	lim	lim	PROPN
ejpam-6486	64	5	q→+∞	q→+∞	PROPN
ejpam-6486	64	6	p(sq	p(sq	PROPN
ejpam-6486	64	7	,	,	PUNCT
ejpam-6486	64	8	s,ℑ	s,ℑ	PROPN
ejpam-6486	64	9	)	)	PUNCT
ejpam-6486	64	10	=	=	SYM
ejpam-6486	64	11	1	1	NUM
ejpam-6486	64	12	for	for	ADP
ejpam-6486	64	13	all	all	DET
ejpam-6486	64	14	ℑ	ℑ	NOUN
ejpam-6486	64	15	>	>	X
ejpam-6486	64	16	0	0	NUM
ejpam-6486	64	17	.	.	PUNCT
ejpam-6486	65	1	(	(	PUNCT
ejpam-6486	65	2	ii	ii	NOUN
ejpam-6486	65	3	)	)	PUNCT
ejpam-6486	65	4	a	a	DET
ejpam-6486	65	5	sequence	sequence	NOUN
ejpam-6486	65	6	{	{	PUNCT
ejpam-6486	65	7	sq	sq	ADJ
ejpam-6486	65	8	}	}	PUNCT
ejpam-6486	65	9	⊆	⊆	NUM
ejpam-6486	65	10	e	e	NOUN
ejpam-6486	65	11	is	be	AUX
ejpam-6486	65	12	called	call	VERB
ejpam-6486	65	13	a	a	DET
ejpam-6486	65	14	cauchy	cauchy	ADJ
ejpam-6486	65	15	sequence	sequence	NOUN
ejpam-6486	65	16	if	if	SCONJ
ejpam-6486	65	17	for	for	ADP
ejpam-6486	65	18	each	each	DET
ejpam-6486	65	19	α	α	NOUN
ejpam-6486	65	20	∈	∈	PROPN
ejpam-6486	65	21	(	(	PUNCT
ejpam-6486	65	22	0	0	NUM
ejpam-6486	65	23	,	,	PUNCT
ejpam-6486	65	24	1	1	NUM
ejpam-6486	65	25	)	)	PUNCT
ejpam-6486	65	26	and	and	CCONJ
ejpam-6486	65	27	ℑ	ℑ	PROPN
ejpam-6486	65	28	>	>	X
ejpam-6486	65	29	0	0	NUM
ejpam-6486	65	30	,	,	PUNCT
ejpam-6486	65	31	there	there	PRON
ejpam-6486	65	32	exists	exist	VERB
ejpam-6486	65	33	q0	q0	PROPN
ejpam-6486	65	34	∈	∈	PROPN
ejpam-6486	65	35	n	n	CCONJ
ejpam-6486	65	36	such	such	ADJ
ejpam-6486	65	37	that	that	SCONJ
ejpam-6486	65	38	p(sq	p(sq	NOUN
ejpam-6486	65	39	,	,	PUNCT
ejpam-6486	65	40	sp,ℑ	sp,ℑ	PROPN
ejpam-6486	65	41	)	)	PUNCT
ejpam-6486	65	42	>	>	X
ejpam-6486	66	1	1−	1−	NUM
ejpam-6486	66	2	α	α	NOUN
ejpam-6486	66	3	for	for	ADP
ejpam-6486	66	4	all	all	DET
ejpam-6486	66	5	q	q	PROPN
ejpam-6486	66	6	,	,	PUNCT
ejpam-6486	66	7	p	p	DET
ejpam-6486	66	8	≥	≥	NOUN
ejpam-6486	66	9	q0	q0	VERB
ejpam-6486	66	10	.	.	PUNCT
ejpam-6486	67	1	(	(	PUNCT
ejpam-6486	67	2	iii	iii	X
ejpam-6486	67	3	)	)	PUNCT
ejpam-6486	67	4	the	the	DET
ejpam-6486	67	5	fuzzy	fuzzy	ADJ
ejpam-6486	67	6	metric	metric	ADJ
ejpam-6486	67	7	space	space	NOUN
ejpam-6486	67	8	(	(	PUNCT
ejpam-6486	67	9	e	e	NOUN
ejpam-6486	67	10	,	,	PUNCT
ejpam-6486	67	11	p,⋏	p,⋏	NOUN
ejpam-6486	67	12	)	)	PUNCT
ejpam-6486	67	13	is	be	AUX
ejpam-6486	67	14	said	say	VERB
ejpam-6486	67	15	to	to	PART
ejpam-6486	67	16	be	be	AUX
ejpam-6486	67	17	complete	complete	ADJ
ejpam-6486	67	18	if	if	SCONJ
ejpam-6486	67	19	every	every	DET
ejpam-6486	67	20	cauchy	cauchy	ADJ
ejpam-6486	67	21	sequence	sequence	NOUN
ejpam-6486	67	22	in	in	ADP
ejpam-6486	67	23	e	e	NOUN
ejpam-6486	67	24	converges	converge	NOUN
ejpam-6486	67	25	.	.	PUNCT
ejpam-6486	68	1	the	the	DET
ejpam-6486	68	2	notion	notion	NOUN
ejpam-6486	68	3	of	of	ADP
ejpam-6486	68	4	fuzzy	fuzzy	ADJ
ejpam-6486	68	5	contractive	contractive	ADJ
ejpam-6486	68	6	mappings	mapping	NOUN
ejpam-6486	68	7	was	be	AUX
ejpam-6486	68	8	initially	initially	ADV
ejpam-6486	68	9	formulated	formulate	VERB
ejpam-6486	68	10	by	by	ADP
ejpam-6486	68	11	gregori	gregori	PROPN
ejpam-6486	68	12	and	and	CCONJ
ejpam-6486	68	13	sapena	sapena	ADJ
ejpam-6486	69	1	[	[	X
ejpam-6486	69	2	14	14	NUM
ejpam-6486	69	3	]	]	PUNCT
ejpam-6486	69	4	as	as	SCONJ
ejpam-6486	69	5	follows	follow	VERB
ejpam-6486	69	6	:	:	PUNCT
ejpam-6486	69	7	definition	definition	NOUN
ejpam-6486	69	8	6	6	NUM
ejpam-6486	69	9	.	.	PUNCT
ejpam-6486	70	1	[	[	X
ejpam-6486	70	2	14	14	NUM
ejpam-6486	70	3	]	]	X
ejpam-6486	70	4	let	let	VERB
ejpam-6486	70	5	(	(	PUNCT
ejpam-6486	70	6	e	e	NOUN
ejpam-6486	70	7	,	,	PUNCT
ejpam-6486	70	8	p,⋏	p,⋏	NOUN
ejpam-6486	70	9	)	)	PUNCT
ejpam-6486	70	10	be	be	VERB
ejpam-6486	70	11	a	a	DET
ejpam-6486	70	12	fuzzy	fuzzy	ADJ
ejpam-6486	70	13	metric	metric	ADJ
ejpam-6486	70	14	space	space	NOUN
ejpam-6486	70	15	.	.	PUNCT
ejpam-6486	71	1	a	a	DET
ejpam-6486	71	2	mapping	mapping	NOUN
ejpam-6486	71	3	k	k	NOUN
ejpam-6486	71	4	:	:	PUNCT
ejpam-6486	71	5	e	e	X
ejpam-6486	71	6	→	→	SYM
ejpam-6486	71	7	e	e	X
ejpam-6486	71	8	is	be	AUX
ejpam-6486	71	9	fuzzy	fuzzy	ADJ
ejpam-6486	71	10	contractive	contractive	ADJ
ejpam-6486	71	11	if	if	SCONJ
ejpam-6486	71	12	there	there	PRON
ejpam-6486	71	13	exists	exist	VERB
ejpam-6486	71	14	a	a	DET
ejpam-6486	71	15	constant	constant	ADJ
ejpam-6486	71	16	ℏ	ℏ	NOUN
ejpam-6486	71	17	∈	∈	PROPN
ejpam-6486	71	18	(	(	PUNCT
ejpam-6486	71	19	0	0	NUM
ejpam-6486	71	20	,	,	PUNCT
ejpam-6486	71	21	1	1	NUM
ejpam-6486	71	22	)	)	PUNCT
ejpam-6486	71	23	such	such	ADJ
ejpam-6486	71	24	that	that	PRON
ejpam-6486	71	25	for	for	ADP
ejpam-6486	71	26	all	all	DET
ejpam-6486	71	27	s	s	PROPN
ejpam-6486	71	28	,	,	PUNCT
ejpam-6486	71	29	t	t	PROPN
ejpam-6486	71	30	∈	∈	PROPN
ejpam-6486	71	31	e	e	PROPN
ejpam-6486	71	32	and	and	CCONJ
ejpam-6486	71	33	ℑ	ℑ	PROPN
ejpam-6486	71	34	>	>	X
ejpam-6486	71	35	0	0	NUM
ejpam-6486	71	36	,	,	PUNCT
ejpam-6486	71	37	1	1	NUM
ejpam-6486	71	38	p(k(s),k(t),ℑ	p(k(s),k(t),ℑ	NOUN
ejpam-6486	71	39	)	)	PUNCT
ejpam-6486	71	40	−	−	PROPN
ejpam-6486	71	41	1	1	NUM
ejpam-6486	71	42	≤	≤	NUM
ejpam-6486	71	43	ℏ	ℏ	PROPN
ejpam-6486	71	44	(	(	PUNCT
ejpam-6486	71	45	1	1	NUM
ejpam-6486	71	46	p(s	p(s	NOUN
ejpam-6486	71	47	,	,	PUNCT
ejpam-6486	71	48	t,ℑ	t,ℑ	PROPN
ejpam-6486	71	49	)	)	PUNCT
ejpam-6486	71	50	−	−	PROPN
ejpam-6486	71	51	1	1	NUM
ejpam-6486	71	52	)	)	PUNCT
ejpam-6486	71	53	.	.	PUNCT
ejpam-6486	72	1	define	define	VERB
ejpam-6486	72	2	ψ	ψ	SYM
ejpam-6486	72	3	as	as	ADP
ejpam-6486	72	4	the	the	DET
ejpam-6486	72	5	family	family	NOUN
ejpam-6486	72	6	of	of	ADP
ejpam-6486	72	7	continuous	continuous	ADJ
ejpam-6486	72	8	non	non	ADJ
ejpam-6486	72	9	-	-	ADJ
ejpam-6486	72	10	decreasing	decrease	VERB
ejpam-6486	72	11	functions	function	NOUN
ejpam-6486	72	12	ψ	ψ	X
ejpam-6486	72	13	:	:	PUNCT
ejpam-6486	72	14	(	(	PUNCT
ejpam-6486	72	15	0	0	NUM
ejpam-6486	72	16	,	,	PUNCT
ejpam-6486	72	17	1	1	NUM
ejpam-6486	72	18	]	]	PUNCT
ejpam-6486	72	19	→	→	PUNCT
ejpam-6486	72	20	(	(	PUNCT
ejpam-6486	72	21	0	0	NUM
ejpam-6486	72	22	,	,	PUNCT
ejpam-6486	72	23	1	1	NUM
ejpam-6486	72	24	]	]	PUNCT
ejpam-6486	72	25	satisfying	satisfy	VERB
ejpam-6486	72	26	ψ(t	ψ(t	PROPN
ejpam-6486	72	27	)	)	PUNCT
ejpam-6486	72	28	>	>	X
ejpam-6486	72	29	t	t	PROPN
ejpam-6486	72	30	for	for	ADP
ejpam-6486	72	31	all	all	DET
ejpam-6486	72	32	t	t	NOUN
ejpam-6486	72	33	∈	∈	PROPN
ejpam-6486	72	34	(	(	PUNCT
ejpam-6486	72	35	0	0	NUM
ejpam-6486	72	36	,	,	PUNCT
ejpam-6486	72	37	1	1	NUM
ejpam-6486	72	38	)	)	PUNCT
ejpam-6486	72	39	.	.	PUNCT
ejpam-6486	73	1	definition	definition	NOUN
ejpam-6486	73	2	7	7	NUM
ejpam-6486	73	3	.	.	PUNCT
ejpam-6486	74	1	[	[	X
ejpam-6486	74	2	15	15	NUM
ejpam-6486	74	3	]	]	X
ejpam-6486	74	4	a	a	DET
ejpam-6486	74	5	mapping	mapping	NOUN
ejpam-6486	74	6	k	k	NOUN
ejpam-6486	74	7	:	:	PUNCT
ejpam-6486	74	8	e	e	X
ejpam-6486	74	9	→	→	SYM
ejpam-6486	74	10	e	e	X
ejpam-6486	74	11	is	be	AUX
ejpam-6486	74	12	fuzzy	fuzzy	ADJ
ejpam-6486	74	13	ψ	ψ	NOUN
ejpam-6486	74	14	-	-	ADJ
ejpam-6486	74	15	contractive	contractive	ADJ
ejpam-6486	74	16	if	if	SCONJ
ejpam-6486	74	17	p(ks	p(ks	PROPN
ejpam-6486	74	18	,	,	PUNCT
ejpam-6486	74	19	kt,ℑ	kt,ℑ	PROPN
ejpam-6486	74	20	)	)	PUNCT
ejpam-6486	74	21	≥	≥	NOUN
ejpam-6486	74	22	ψ	ψ	X
ejpam-6486	74	23	(	(	PUNCT
ejpam-6486	74	24	p(s	p(s	PROPN
ejpam-6486	74	25	,	,	PUNCT
ejpam-6486	74	26	t,ℑ	t,ℑ	PROPN
ejpam-6486	74	27	)	)	PUNCT
ejpam-6486	74	28	)	)	PUNCT
ejpam-6486	74	29	for	for	ADP
ejpam-6486	74	30	all	all	DET
ejpam-6486	74	31	s	s	PROPN
ejpam-6486	74	32	,	,	PUNCT
ejpam-6486	74	33	t	t	PROPN
ejpam-6486	74	34	∈	∈	PROPN
ejpam-6486	74	35	e	e	X
ejpam-6486	74	36	,	,	PUNCT
ejpam-6486	74	37	ℑ	ℑ	PROPN
ejpam-6486	74	38	>	>	X
ejpam-6486	74	39	0	0	X
ejpam-6486	74	40	.	.	PUNCT
ejpam-6486	74	41	example	example	NOUN
ejpam-6486	75	1	2	2	NUM
ejpam-6486	75	2	.	.	PUNCT
ejpam-6486	76	1	[	[	X
ejpam-6486	76	2	15	15	NUM
ejpam-6486	76	3	]	]	PUNCT
ejpam-6486	76	4	for	for	ADP
ejpam-6486	76	5	each	each	DET
ejpam-6486	76	6	ℏ	ℏ	PROPN
ejpam-6486	76	7	∈	∈	PROPN
ejpam-6486	76	8	(	(	PUNCT
ejpam-6486	76	9	0	0	NUM
ejpam-6486	76	10	,	,	PUNCT
ejpam-6486	76	11	1	1	NUM
ejpam-6486	76	12	)	)	PUNCT
ejpam-6486	76	13	,	,	PUNCT
ejpam-6486	76	14	the	the	DET
ejpam-6486	76	15	function	function	NOUN
ejpam-6486	76	16	ψℏ	ψℏ	X
ejpam-6486	76	17	:	:	PUNCT
ejpam-6486	76	18	(	(	PUNCT
ejpam-6486	76	19	0	0	NUM
ejpam-6486	76	20	,	,	PUNCT
ejpam-6486	76	21	1	1	NUM
ejpam-6486	76	22	]	]	PUNCT
ejpam-6486	76	23	→	→	PUNCT
ejpam-6486	76	24	(	(	PUNCT
ejpam-6486	76	25	0	0	NUM
ejpam-6486	76	26	,	,	PUNCT
ejpam-6486	76	27	1	1	NUM
ejpam-6486	76	28	]	]	PUNCT
ejpam-6486	76	29	given	give	VERB
ejpam-6486	76	30	by	by	ADP
ejpam-6486	76	31	ψℏ(s	ψℏ(	NOUN
ejpam-6486	76	32	)	)	PUNCT
ejpam-6486	76	33	=	=	SYM
ejpam-6486	76	34	s	s	NOUN
ejpam-6486	76	35	s+	s+	NUM
ejpam-6486	76	36	ℏ(1−	ℏ(1−	PROPN
ejpam-6486	76	37	s	s	VERB
ejpam-6486	76	38	)	)	PUNCT
ejpam-6486	76	39	belongs	belong	VERB
ejpam-6486	76	40	to	to	ADP
ejpam-6486	76	41	ψ	ψ	PROPN
ejpam-6486	76	42	.	.	PUNCT
ejpam-6486	77	1	every	every	DET
ejpam-6486	77	2	ψℏ-fuzzy	ψℏ-fuzzy	ADJ
ejpam-6486	77	3	contractive	contractive	ADJ
ejpam-6486	77	4	mapping	mapping	NOUN
ejpam-6486	77	5	is	be	AUX
ejpam-6486	77	6	also	also	ADV
ejpam-6486	77	7	a	a	DET
ejpam-6486	77	8	fuzzy	fuzzy	ADJ
ejpam-6486	77	9	contractive	contractive	ADJ
ejpam-6486	77	10	mapping	mapping	NOUN
ejpam-6486	77	11	as	as	SCONJ
ejpam-6486	77	12	defined	define	VERB
ejpam-6486	77	13	by	by	ADP
ejpam-6486	77	14	gregori	gregori	PROPN
ejpam-6486	77	15	and	and	CCONJ
ejpam-6486	77	16	sapena	sapena	ADJ
ejpam-6486	77	17	[	[	X
ejpam-6486	77	18	14	14	NUM
ejpam-6486	77	19	]	]	PUNCT
ejpam-6486	77	20	.	.	PUNCT
ejpam-6486	78	1	let	let	VERB
ejpam-6486	78	2	h	h	NOUN
ejpam-6486	78	3	denote	denote	VERB
ejpam-6486	78	4	the	the	DET
ejpam-6486	78	5	set	set	NOUN
ejpam-6486	78	6	of	of	ADP
ejpam-6486	78	7	strictly	strictly	ADV
ejpam-6486	78	8	decreasing	decrease	VERB
ejpam-6486	78	9	functions	function	NOUN
ejpam-6486	78	10	η	η	NOUN
ejpam-6486	78	11	:	:	PUNCT
ejpam-6486	78	12	(	(	PUNCT
ejpam-6486	78	13	0	0	NUM
ejpam-6486	78	14	,	,	PUNCT
ejpam-6486	78	15	1	1	NUM
ejpam-6486	78	16	]	]	PUNCT
ejpam-6486	78	17	→	→	X
ejpam-6486	79	1	[	[	X
ejpam-6486	79	2	0,+∞	0,+∞	NUM
ejpam-6486	79	3	)	)	PUNCT
ejpam-6486	79	4	that	that	PRON
ejpam-6486	79	5	map	map	VERB
ejpam-6486	79	6	the	the	DET
ejpam-6486	79	7	interval	interval	NOUN
ejpam-6486	79	8	(	(	PUNCT
ejpam-6486	79	9	0	0	NUM
ejpam-6486	79	10	,	,	PUNCT
ejpam-6486	79	11	1	1	NUM
ejpam-6486	79	12	]	]	PUNCT
ejpam-6486	79	13	onto	onto	ADP
ejpam-6486	79	14	the	the	DET
ejpam-6486	79	15	entire	entire	ADJ
ejpam-6486	79	16	range	range	NOUN
ejpam-6486	79	17	[	[	X
ejpam-6486	79	18	0,+∞	0,+∞	NUM
ejpam-6486	79	19	)	)	PUNCT
ejpam-6486	79	20	.	.	PUNCT
ejpam-6486	80	1	definition	definition	NOUN
ejpam-6486	80	2	8	8	NUM
ejpam-6486	80	3	.	.	PUNCT
ejpam-6486	81	1	[	[	X
ejpam-6486	81	2	16	16	NUM
ejpam-6486	81	3	]	]	PUNCT
ejpam-6486	81	4	a	a	DET
ejpam-6486	81	5	mapping	mapping	NOUN
ejpam-6486	81	6	k	k	NOUN
ejpam-6486	81	7	:	:	PUNCT
ejpam-6486	81	8	e	e	X
ejpam-6486	81	9	→	→	SYM
ejpam-6486	81	10	e	e	X
ejpam-6486	81	11	is	be	AUX
ejpam-6486	81	12	fuzzy	fuzzy	ADJ
ejpam-6486	81	13	h	h	NOUN
ejpam-6486	81	14	-	-	PUNCT
ejpam-6486	81	15	contractive	contractive	ADJ
ejpam-6486	81	16	with	with	ADP
ejpam-6486	81	17	respect	respect	NOUN
ejpam-6486	81	18	to	to	ADP
ejpam-6486	81	19	η	η	PROPN
ejpam-6486	81	20	∈	∈	PROPN
ejpam-6486	81	21	h	h	NOUN
ejpam-6486	81	22	if	if	SCONJ
ejpam-6486	81	23	there	there	PRON
ejpam-6486	81	24	exists	exist	VERB
ejpam-6486	81	25	a	a	DET
ejpam-6486	81	26	constant	constant	ADJ
ejpam-6486	81	27	ℏ	ℏ	NOUN
ejpam-6486	81	28	∈	∈	PROPN
ejpam-6486	81	29	(	(	PUNCT
ejpam-6486	81	30	0	0	NUM
ejpam-6486	81	31	,	,	PUNCT
ejpam-6486	81	32	1	1	NUM
ejpam-6486	81	33	)	)	PUNCT
ejpam-6486	82	1	such	such	ADJ
ejpam-6486	82	2	that	that	SCONJ
ejpam-6486	82	3	η	η	PROPN
ejpam-6486	82	4	(	(	PUNCT
ejpam-6486	82	5	p(ks	p(ks	PROPN
ejpam-6486	82	6	,	,	PUNCT
ejpam-6486	82	7	kt,ℑ	kt,ℑ	PROPN
ejpam-6486	82	8	)	)	PUNCT
ejpam-6486	82	9	)	)	PUNCT
ejpam-6486	82	10	≤	≤	PUNCT
ejpam-6486	82	11	ℏ	ℏ	PROPN
ejpam-6486	82	12	·	·	PUNCT
ejpam-6486	82	13	η	η	PROPN
ejpam-6486	82	14	(	(	PUNCT
ejpam-6486	82	15	p(s	p(s	PROPN
ejpam-6486	82	16	,	,	PUNCT
ejpam-6486	82	17	t,ℑ	t,ℑ	PROPN
ejpam-6486	82	18	)	)	PUNCT
ejpam-6486	82	19	)	)	PUNCT
ejpam-6486	82	20	for	for	ADP
ejpam-6486	82	21	all	all	DET
ejpam-6486	82	22	s	s	PROPN
ejpam-6486	82	23	,	,	PUNCT
ejpam-6486	82	24	t	t	PROPN
ejpam-6486	82	25	∈	∈	PROPN
ejpam-6486	82	26	e	e	PROPN
ejpam-6486	82	27	and	and	CCONJ
ejpam-6486	82	28	ℑ	ℑ	PROPN
ejpam-6486	82	29	>	>	X
ejpam-6486	82	30	0	0	X
ejpam-6486	82	31	.	.	PUNCT
ejpam-6486	82	32	definition	definition	NOUN
ejpam-6486	82	33	9	9	NUM
ejpam-6486	83	1	.	.	PUNCT
ejpam-6486	84	1	[	[	X
ejpam-6486	84	2	17	17	NUM
ejpam-6486	84	3	]	]	PUNCT
ejpam-6486	84	4	(	(	PUNCT
ejpam-6486	84	5	see	see	VERB
ejpam-6486	84	6	also	also	ADV
ejpam-6486	84	7	[	[	X
ejpam-6486	84	8	23	23	NUM
ejpam-6486	84	9	,	,	PUNCT
ejpam-6486	84	10	24	24	NUM
ejpam-6486	84	11	]	]	PUNCT
ejpam-6486	84	12	)	)	PUNCT
ejpam-6486	84	13	a	a	DET
ejpam-6486	84	14	function	function	NOUN
ejpam-6486	84	15	s	s	PART
ejpam-6486	84	16	:	:	PUNCT
ejpam-6486	84	17	(	(	PUNCT
ejpam-6486	84	18	0	0	NUM
ejpam-6486	84	19	,	,	PUNCT
ejpam-6486	84	20	1	1	NUM
ejpam-6486	84	21	]	]	SYM
ejpam-6486	84	22	×	×	NOUN
ejpam-6486	84	23	(	(	PUNCT
ejpam-6486	84	24	0	0	NUM
ejpam-6486	84	25	,	,	PUNCT
ejpam-6486	84	26	1	1	NUM
ejpam-6486	84	27	]	]	PUNCT
ejpam-6486	84	28	→	→	PUNCT
ejpam-6486	84	29	r	r	NOUN
ejpam-6486	84	30	is	be	AUX
ejpam-6486	84	31	termed	term	VERB
ejpam-6486	84	32	an	an	DET
ejpam-6486	84	33	fz	fz	ADJ
ejpam-6486	84	34	-	-	PUNCT
ejpam-6486	84	35	simulation	simulation	NOUN
ejpam-6486	84	36	function	function	NOUN
ejpam-6486	84	37	if	if	SCONJ
ejpam-6486	84	38	it	it	PRON
ejpam-6486	84	39	satisfies	satisfy	VERB
ejpam-6486	84	40	:	:	PUNCT
ejpam-6486	84	41	a.	a.	NOUN
ejpam-6486	84	42	moussaoui	moussaoui	NOUN
ejpam-6486	84	43	,	,	PUNCT
ejpam-6486	84	44	m.	m.	NOUN
ejpam-6486	84	45	pantović	pantović	NOUN
ejpam-6486	84	46	,	,	PUNCT
ejpam-6486	84	47	s.	s.	PROPN
ejpam-6486	84	48	radenović	radenović	PROPN
ejpam-6486	84	49	/	/	SYM
ejpam-6486	84	50	eur	eur	PROPN
ejpam-6486	84	51	.	.	PUNCT
ejpam-6486	85	1	j.	j.	PROPN
ejpam-6486	85	2	pure	pure	PROPN
ejpam-6486	85	3	appl	appl	PROPN
ejpam-6486	85	4	.	.	PROPN
ejpam-6486	85	5	math	math	PROPN
ejpam-6486	85	6	,	,	PUNCT
ejpam-6486	85	7	18	18	NUM
ejpam-6486	85	8	(	(	PUNCT
ejpam-6486	85	9	3	3	NUM
ejpam-6486	85	10	)	)	PUNCT
ejpam-6486	85	11	(	(	PUNCT
ejpam-6486	85	12	2025	2025	NUM
ejpam-6486	85	13	)	)	PUNCT
ejpam-6486	85	14	,	,	PUNCT
ejpam-6486	85	15	6486	6486	NUM
ejpam-6486	85	16	5	5	NUM
ejpam-6486	85	17	of	of	ADP
ejpam-6486	85	18	18	18	NUM
ejpam-6486	85	19	(	(	PUNCT
ejpam-6486	85	20	s1	s1	NOUN
ejpam-6486	85	21	)	)	PUNCT
ejpam-6486	85	22	s(1	s(1	PROPN
ejpam-6486	85	23	,	,	PUNCT
ejpam-6486	85	24	1	1	NUM
ejpam-6486	85	25	)	)	PUNCT
ejpam-6486	85	26	=	=	SYM
ejpam-6486	85	27	0	0	NUM
ejpam-6486	85	28	,	,	PUNCT
ejpam-6486	85	29	(	(	PUNCT
ejpam-6486	85	30	s2	s2	PROPN
ejpam-6486	85	31	)	)	PUNCT
ejpam-6486	85	32	for	for	ADP
ejpam-6486	85	33	all	all	DET
ejpam-6486	85	34	s	s	PROPN
ejpam-6486	85	35	,	,	PUNCT
ejpam-6486	85	36	t	t	PROPN
ejpam-6486	85	37	∈	∈	PROPN
ejpam-6486	85	38	(	(	PUNCT
ejpam-6486	85	39	0	0	NUM
ejpam-6486	85	40	,	,	PUNCT
ejpam-6486	85	41	1	1	NUM
ejpam-6486	85	42	)	)	PUNCT
ejpam-6486	86	1	,	,	PUNCT
ejpam-6486	86	2	it	it	PRON
ejpam-6486	86	3	holds	hold	VERB
ejpam-6486	86	4	that	that	SCONJ
ejpam-6486	86	5	s(s	s(s	PROPN
ejpam-6486	86	6	,	,	PUNCT
ejpam-6486	86	7	t	t	PROPN
ejpam-6486	86	8	)	)	PUNCT
ejpam-6486	86	9	<	<	X
ejpam-6486	86	10	1	1	NUM
ejpam-6486	86	11	t	t	NOUN
ejpam-6486	86	12	−	−	NUM
ejpam-6486	86	13	1	1	NUM
ejpam-6486	86	14	s	s	PART
ejpam-6486	86	15	,	,	PUNCT
ejpam-6486	86	16	(	(	PUNCT
ejpam-6486	86	17	s3	s3	PROPN
ejpam-6486	86	18	)	)	PUNCT
ejpam-6486	86	19	for	for	ADP
ejpam-6486	86	20	sequences	sequence	NOUN
ejpam-6486	86	21	{	{	PUNCT
ejpam-6486	86	22	sq	sq	ADJ
ejpam-6486	86	23	}	}	PUNCT
ejpam-6486	86	24	and	and	CCONJ
ejpam-6486	86	25	{	{	PUNCT
ejpam-6486	86	26	tq	tq	NOUN
ejpam-6486	86	27	}	}	PUNCT
ejpam-6486	86	28	in	in	ADP
ejpam-6486	86	29	(	(	PUNCT
ejpam-6486	86	30	0	0	NUM
ejpam-6486	86	31	,	,	PUNCT
ejpam-6486	86	32	1	1	NUM
ejpam-6486	86	33	]	]	PUNCT
ejpam-6486	86	34	with	with	ADP
ejpam-6486	86	35	limq→+∞	limq→+∞	PRON
ejpam-6486	87	1	sq	sq	NOUN
ejpam-6486	87	2	=	=	PRON
ejpam-6486	87	3	limq→+∞	limq→+∞	PRON
ejpam-6486	87	4	tq	tq	INTJ
ejpam-6486	87	5	<	<	X
ejpam-6486	87	6	1	1	NUM
ejpam-6486	87	7	,	,	PUNCT
ejpam-6486	87	8	we	we	PRON
ejpam-6486	87	9	have	have	VERB
ejpam-6486	87	10	lim	lim	PROPN
ejpam-6486	87	11	q→+∞	q→+∞	PROPN
ejpam-6486	87	12	sups(sq	sups(sq	PROPN
ejpam-6486	87	13	,	,	PUNCT
ejpam-6486	87	14	tq	tq	ADV
ejpam-6486	87	15	)	)	PUNCT
ejpam-6486	87	16	<	<	X
ejpam-6486	88	1	0	0	X
ejpam-6486	88	2	.	.	PUNCT
ejpam-6486	89	1	the	the	DET
ejpam-6486	89	2	collection	collection	NOUN
ejpam-6486	89	3	of	of	ADP
ejpam-6486	89	4	all	all	DET
ejpam-6486	89	5	such	such	ADJ
ejpam-6486	89	6	functions	function	NOUN
ejpam-6486	89	7	is	be	AUX
ejpam-6486	89	8	denoted	denote	VERB
ejpam-6486	89	9	fz	fz	NOUN
ejpam-6486	89	10	.	.	PUNCT
ejpam-6486	89	11	definition	definition	NOUN
ejpam-6486	89	12	10	10	NUM
ejpam-6486	89	13	.	.	PUNCT
ejpam-6486	90	1	[	[	X
ejpam-6486	90	2	17	17	NUM
ejpam-6486	90	3	]	]	PUNCT
ejpam-6486	90	4	(	(	PUNCT
ejpam-6486	90	5	see	see	VERB
ejpam-6486	90	6	also	also	ADV
ejpam-6486	90	7	[	[	X
ejpam-6486	90	8	23	23	NUM
ejpam-6486	90	9	,	,	PUNCT
ejpam-6486	90	10	24	24	NUM
ejpam-6486	90	11	]	]	PUNCT
ejpam-6486	90	12	)	)	PUNCT
ejpam-6486	90	13	let	let	VERB
ejpam-6486	90	14	(	(	PUNCT
ejpam-6486	90	15	e	e	NOUN
ejpam-6486	90	16	,	,	PUNCT
ejpam-6486	90	17	p,⋏	p,⋏	NOUN
ejpam-6486	90	18	)	)	PUNCT
ejpam-6486	90	19	be	be	VERB
ejpam-6486	90	20	a	a	DET
ejpam-6486	90	21	fuzzy	fuzzy	ADJ
ejpam-6486	90	22	metric	metric	ADJ
ejpam-6486	90	23	space	space	NOUN
ejpam-6486	90	24	,	,	PUNCT
ejpam-6486	90	25	k	k	PROPN
ejpam-6486	90	26	:	:	PUNCT
ejpam-6486	90	27	e	e	X
ejpam-6486	90	28	→	→	PUNCT
ejpam-6486	90	29	e	e	X
ejpam-6486	90	30	a	a	DET
ejpam-6486	90	31	self	self	NOUN
ejpam-6486	90	32	-	-	PUNCT
ejpam-6486	90	33	map	map	NOUN
ejpam-6486	90	34	,	,	PUNCT
ejpam-6486	90	35	and	and	CCONJ
ejpam-6486	90	36	s	s	PROPN
ejpam-6486	90	37	∈	∈	NOUN
ejpam-6486	90	38	fz	fz	NOUN
ejpam-6486	90	39	.	.	PUNCT
ejpam-6486	91	1	the	the	DET
ejpam-6486	91	2	mapping	mapping	NOUN
ejpam-6486	91	3	k	k	PROPN
ejpam-6486	91	4	is	be	AUX
ejpam-6486	91	5	an	an	DET
ejpam-6486	91	6	fz	fz	NOUN
ejpam-6486	91	7	-	-	PUNCT
ejpam-6486	91	8	contraction	contraction	NOUN
ejpam-6486	91	9	with	with	ADP
ejpam-6486	91	10	respect	respect	NOUN
ejpam-6486	91	11	to	to	ADP
ejpam-6486	91	12	s	s	PRON
ejpam-6486	91	13	if	if	SCONJ
ejpam-6486	91	14	for	for	ADP
ejpam-6486	91	15	all	all	DET
ejpam-6486	91	16	s	s	PROPN
ejpam-6486	91	17	,	,	PUNCT
ejpam-6486	91	18	t	t	PROPN
ejpam-6486	91	19	∈	∈	PROPN
ejpam-6486	91	20	e	e	PROPN
ejpam-6486	91	21	and	and	CCONJ
ejpam-6486	91	22	ℑ	ℑ	PROPN
ejpam-6486	91	23	>	>	X
ejpam-6486	91	24	0	0	NUM
ejpam-6486	91	25	,	,	PUNCT
ejpam-6486	91	26	s	s	PART
ejpam-6486	91	27	(	(	PUNCT
ejpam-6486	91	28	p(ks	p(ks	PROPN
ejpam-6486	91	29	,	,	PUNCT
ejpam-6486	91	30	kt,ℑ),p(s	kt,ℑ),p(s	PROPN
ejpam-6486	91	31	,	,	PUNCT
ejpam-6486	91	32	t,ℑ	t,ℑ	PROPN
ejpam-6486	91	33	)	)	PUNCT
ejpam-6486	91	34	)	)	PUNCT
ejpam-6486	91	35	≥	≥	NOUN
ejpam-6486	91	36	0	0	NUM
ejpam-6486	91	37	.	.	PUNCT
ejpam-6486	91	38	example	example	NOUN
ejpam-6486	92	1	3	3	NUM
ejpam-6486	92	2	.	.	PUNCT
ejpam-6486	93	1	(	(	PUNCT
ejpam-6486	93	2	[	[	X
ejpam-6486	93	3	24	24	NUM
ejpam-6486	93	4	]	]	PUNCT
ejpam-6486	93	5	)	)	PUNCT
ejpam-6486	93	6	consider	consider	VERB
ejpam-6486	93	7	the	the	DET
ejpam-6486	93	8	following	follow	VERB
ejpam-6486	93	9	functions	function	NOUN
ejpam-6486	93	10	si	si	X
ejpam-6486	93	11	:	:	PUNCT
ejpam-6486	93	12	(	(	PUNCT
ejpam-6486	93	13	0	0	NUM
ejpam-6486	93	14	,	,	PUNCT
ejpam-6486	93	15	1]×	1]×	NUM
ejpam-6486	93	16	(	(	PUNCT
ejpam-6486	93	17	0	0	NUM
ejpam-6486	93	18	,	,	PUNCT
ejpam-6486	93	19	1	1	NUM
ejpam-6486	93	20	]	]	PUNCT
ejpam-6486	93	21	→	→	SYM
ejpam-6486	93	22	r	r	X
ejpam-6486	93	23	,	,	PUNCT
ejpam-6486	93	24	i	i	NOUN
ejpam-6486	93	25	=	=	NOUN
ejpam-6486	93	26	1	1	NUM
ejpam-6486	93	27	,	,	PUNCT
ejpam-6486	93	28	2	2	NUM
ejpam-6486	93	29	,	,	PUNCT
ejpam-6486	93	30	3	3	NUM
ejpam-6486	93	31	:	:	PUNCT
ejpam-6486	93	32	(	(	PUNCT
ejpam-6486	93	33	i	i	NOUN
ejpam-6486	93	34	)	)	PUNCT
ejpam-6486	93	35	s1(s	s1(s	PROPN
ejpam-6486	93	36	,	,	PUNCT
ejpam-6486	93	37	t	t	PROPN
ejpam-6486	93	38	)	)	PUNCT
ejpam-6486	94	1	=	=	SYM
ejpam-6486	94	2	ℏ	ℏ	PROPN
ejpam-6486	94	3	(	(	PUNCT
ejpam-6486	94	4	1	1	NUM
ejpam-6486	94	5	t	t	NOUN
ejpam-6486	94	6	−	−	NOUN
ejpam-6486	94	7	1	1	NUM
ejpam-6486	94	8	)	)	PUNCT
ejpam-6486	94	9	−	−	PROPN
ejpam-6486	94	10	1	1	NUM
ejpam-6486	94	11	s	s	NOUN
ejpam-6486	94	12	+	+	NOUN
ejpam-6486	94	13	1	1	NUM
ejpam-6486	94	14	,	,	PUNCT
ejpam-6486	94	15	for	for	ADP
ejpam-6486	94	16	ℏ	ℏ	PROPN
ejpam-6486	94	17	∈	∈	PROPN
ejpam-6486	94	18	(	(	PUNCT
ejpam-6486	94	19	0	0	NUM
ejpam-6486	94	20	,	,	PUNCT
ejpam-6486	94	21	1	1	NUM
ejpam-6486	94	22	)	)	PUNCT
ejpam-6486	94	23	and	and	CCONJ
ejpam-6486	94	24	all	all	DET
ejpam-6486	94	25	s	s	PROPN
ejpam-6486	94	26	,	,	PUNCT
ejpam-6486	94	27	t	t	PROPN
ejpam-6486	94	28	∈	∈	PROPN
ejpam-6486	94	29	(	(	PUNCT
ejpam-6486	94	30	0	0	NUM
ejpam-6486	94	31	,	,	PUNCT
ejpam-6486	94	32	1	1	NUM
ejpam-6486	94	33	]	]	PUNCT
ejpam-6486	94	34	,	,	PUNCT
ejpam-6486	94	35	(	(	PUNCT
ejpam-6486	94	36	ii	ii	NOUN
ejpam-6486	94	37	)	)	PUNCT
ejpam-6486	94	38	s2(s	s2(s	PROPN
ejpam-6486	94	39	,	,	PUNCT
ejpam-6486	94	40	t	t	PROPN
ejpam-6486	94	41	)	)	PUNCT
ejpam-6486	94	42	=	=	SYM
ejpam-6486	94	43	1	1	NUM
ejpam-6486	94	44	ψ(t	ψ(t	PROPN
ejpam-6486	94	45	)	)	PUNCT
ejpam-6486	94	46	−	−	PROPN
ejpam-6486	94	47	1	1	NUM
ejpam-6486	94	48	s	s	NOUN
ejpam-6486	94	49	,	,	PUNCT
ejpam-6486	94	50	where	where	SCONJ
ejpam-6486	94	51	ψ	ψ	ADP
ejpam-6486	94	52	∈	∈	PROPN
ejpam-6486	94	53	ψ	ψ	NOUN
ejpam-6486	94	54	,	,	PUNCT
ejpam-6486	94	55	for	for	ADP
ejpam-6486	94	56	all	all	DET
ejpam-6486	94	57	s	s	PROPN
ejpam-6486	94	58	,	,	PUNCT
ejpam-6486	94	59	t	t	PROPN
ejpam-6486	94	60	∈	∈	PROPN
ejpam-6486	94	61	(	(	PUNCT
ejpam-6486	94	62	0	0	NUM
ejpam-6486	94	63	,	,	PUNCT
ejpam-6486	94	64	1	1	NUM
ejpam-6486	94	65	]	]	PUNCT
ejpam-6486	94	66	,	,	PUNCT
ejpam-6486	94	67	(	(	PUNCT
ejpam-6486	94	68	iii	iii	X
ejpam-6486	94	69	)	)	PUNCT
ejpam-6486	94	70	s3(s	s3(s	PROPN
ejpam-6486	94	71	,	,	PUNCT
ejpam-6486	94	72	t	t	PROPN
ejpam-6486	94	73	)	)	PUNCT
ejpam-6486	94	74	=	=	SYM
ejpam-6486	94	75	1	1	NUM
ejpam-6486	94	76	η−1(ℏ·η(t	η−1(ℏ·η(t	NOUN
ejpam-6486	94	77	)	)	PUNCT
ejpam-6486	94	78	)	)	PUNCT
ejpam-6486	95	1	−	−	PROPN
ejpam-6486	95	2	1	1	NUM
ejpam-6486	95	3	s	s	NOUN
ejpam-6486	95	4	,	,	PUNCT
ejpam-6486	95	5	where	where	SCONJ
ejpam-6486	95	6	ℏ	ℏ	PROPN
ejpam-6486	95	7	∈	∈	PROPN
ejpam-6486	95	8	(	(	PUNCT
ejpam-6486	95	9	0	0	NUM
ejpam-6486	95	10	,	,	PUNCT
ejpam-6486	95	11	1	1	NUM
ejpam-6486	95	12	)	)	PUNCT
ejpam-6486	95	13	,	,	PUNCT
ejpam-6486	95	14	η	η	PROPN
ejpam-6486	95	15	∈	∈	PROPN
ejpam-6486	95	16	h	h	NOUN
ejpam-6486	95	17	,	,	PUNCT
ejpam-6486	95	18	for	for	ADP
ejpam-6486	95	19	all	all	DET
ejpam-6486	95	20	s	s	PROPN
ejpam-6486	95	21	,	,	PUNCT
ejpam-6486	95	22	t	t	PROPN
ejpam-6486	95	23	∈	∈	PROPN
ejpam-6486	95	24	(	(	PUNCT
ejpam-6486	95	25	0	0	NUM
ejpam-6486	95	26	,	,	PUNCT
ejpam-6486	95	27	1	1	NUM
ejpam-6486	95	28	]	]	PUNCT
ejpam-6486	95	29	.	.	PUNCT
ejpam-6486	96	1	each	each	DET
ejpam-6486	96	2	si	si	PROPN
ejpam-6486	96	3	is	be	AUX
ejpam-6486	96	4	an	an	DET
ejpam-6486	96	5	fz	fz	ADJ
ejpam-6486	96	6	-	-	PUNCT
ejpam-6486	96	7	simulation	simulation	NOUN
ejpam-6486	96	8	function	function	NOUN
ejpam-6486	96	9	.	.	PUNCT
ejpam-6486	97	1	definition	definition	NOUN
ejpam-6486	97	2	11	11	NUM
ejpam-6486	97	3	.	.	PUNCT
ejpam-6486	98	1	[	[	X
ejpam-6486	98	2	34	34	NUM
ejpam-6486	98	3	]	]	X
ejpam-6486	98	4	a	a	DET
ejpam-6486	98	5	binary	binary	ADJ
ejpam-6486	98	6	relation	relation	NOUN
ejpam-6486	98	7	r	r	NOUN
ejpam-6486	98	8	on	on	ADP
ejpam-6486	98	9	e	e	NOUN
ejpam-6486	98	10	is	be	AUX
ejpam-6486	98	11	said	say	VERB
ejpam-6486	98	12	to	to	PART
ejpam-6486	98	13	be	be	AUX
ejpam-6486	98	14	p	p	ADJ
ejpam-6486	98	15	-	-	PUNCT
ejpam-6486	98	16	self	self	NOUN
ejpam-6486	98	17	-	-	PUNCT
ejpam-6486	98	18	closed	close	VERB
ejpam-6486	98	19	if	if	SCONJ
ejpam-6486	98	20	for	for	ADP
ejpam-6486	98	21	any	any	DET
ejpam-6486	98	22	rpreserving	rpreserve	VERB
ejpam-6486	98	23	sequence	sequence	NOUN
ejpam-6486	98	24	{	{	PUNCT
ejpam-6486	98	25	sq	sq	ADJ
ejpam-6486	98	26	}	}	PUNCT
ejpam-6486	98	27	⊆	⊆	NUM
ejpam-6486	98	28	e	e	NOUN
ejpam-6486	98	29	with	with	ADP
ejpam-6486	98	30	lim	lim	PROPN
ejpam-6486	98	31	q→+∞	q→+∞	PROPN
ejpam-6486	98	32	p(sq	p(sq	PROPN
ejpam-6486	98	33	,	,	PUNCT
ejpam-6486	98	34	s,ℑ	s,ℑ	PROPN
ejpam-6486	98	35	)	)	PUNCT
ejpam-6486	98	36	=	=	SYM
ejpam-6486	99	1	1	1	NUM
ejpam-6486	99	2	for	for	ADP
ejpam-6486	99	3	all	all	DET
ejpam-6486	99	4	ℑ	ℑ	NOUN
ejpam-6486	99	5	>	>	X
ejpam-6486	99	6	0	0	NUM
ejpam-6486	100	1	,	,	PUNCT
ejpam-6486	100	2	there	there	PRON
ejpam-6486	100	3	exists	exist	VERB
ejpam-6486	100	4	a	a	DET
ejpam-6486	100	5	subsequence	subsequence	NOUN
ejpam-6486	100	6	{	{	PUNCT
ejpam-6486	100	7	sqk	sqk	NOUN
ejpam-6486	100	8	}	}	PUNCT
ejpam-6486	100	9	of	of	ADP
ejpam-6486	100	10	{	{	PUNCT
ejpam-6486	100	11	sq	sq	ADJ
ejpam-6486	100	12	}	}	PUNCT
ejpam-6486	100	13	such	such	ADJ
ejpam-6486	100	14	that	that	SCONJ
ejpam-6486	100	15	(	(	PUNCT
ejpam-6486	100	16	sqk	sqk	VERB
ejpam-6486	100	17	,	,	PUNCT
ejpam-6486	100	18	s	s	X
ejpam-6486	100	19	)	)	PUNCT
ejpam-6486	100	20	∈	∈	PROPN
ejpam-6486	100	21	r.	r.	PROPN
ejpam-6486	100	22	definition	definition	NOUN
ejpam-6486	100	23	12	12	NUM
ejpam-6486	100	24	.	.	PUNCT
ejpam-6486	101	1	[	[	X
ejpam-6486	101	2	10	10	NUM
ejpam-6486	101	3	]	]	X
ejpam-6486	101	4	let	let	NOUN
ejpam-6486	101	5	(	(	PUNCT
ejpam-6486	101	6	e	e	NOUN
ejpam-6486	101	7	,	,	PUNCT
ejpam-6486	101	8	p,⋏	p,⋏	NOUN
ejpam-6486	101	9	)	)	PUNCT
ejpam-6486	101	10	be	be	VERB
ejpam-6486	101	11	a	a	DET
ejpam-6486	101	12	fuzzy	fuzzy	ADJ
ejpam-6486	101	13	metric	metric	ADJ
ejpam-6486	101	14	space	space	NOUN
ejpam-6486	101	15	and	and	CCONJ
ejpam-6486	101	16	r	r	NOUN
ejpam-6486	101	17	a	a	DET
ejpam-6486	101	18	binary	binary	ADJ
ejpam-6486	101	19	relation	relation	NOUN
ejpam-6486	101	20	on	on	ADP
ejpam-6486	101	21	e.	e.	PROPN
ejpam-6486	101	22	a	a	DET
ejpam-6486	101	23	sequence	sequence	NOUN
ejpam-6486	101	24	{	{	PUNCT
ejpam-6486	101	25	sq	sq	ADJ
ejpam-6486	101	26	}	}	PUNCT
ejpam-6486	101	27	⊆	⊆	NUM
ejpam-6486	101	28	e	e	NOUN
ejpam-6486	101	29	is	be	AUX
ejpam-6486	101	30	called	call	VERB
ejpam-6486	101	31	an	an	DET
ejpam-6486	101	32	r	r	NOUN
ejpam-6486	101	33	-	-	PUNCT
ejpam-6486	101	34	cauchy	cauchy	ADJ
ejpam-6486	101	35	sequence	sequence	NOUN
ejpam-6486	101	36	if	if	SCONJ
ejpam-6486	101	37	it	it	PRON
ejpam-6486	101	38	is	be	AUX
ejpam-6486	101	39	r	r	NOUN
ejpam-6486	101	40	-	-	PUNCT
ejpam-6486	101	41	preserving	preserve	VERB
ejpam-6486	101	42	and	and	CCONJ
ejpam-6486	101	43	for	for	ADP
ejpam-6486	101	44	every	every	DET
ejpam-6486	101	45	ε	ε	PROPN
ejpam-6486	101	46	∈	∈	PROPN
ejpam-6486	101	47	(	(	PUNCT
ejpam-6486	101	48	0	0	NUM
ejpam-6486	101	49	,	,	PUNCT
ejpam-6486	101	50	1	1	NUM
ejpam-6486	101	51	)	)	PUNCT
ejpam-6486	101	52	and	and	CCONJ
ejpam-6486	101	53	ℑ	ℑ	PROPN
ejpam-6486	101	54	>	>	X
ejpam-6486	101	55	0	0	NUM
ejpam-6486	101	56	,	,	PUNCT
ejpam-6486	101	57	there	there	PRON
ejpam-6486	101	58	exists	exist	VERB
ejpam-6486	101	59	q0	q0	PROPN
ejpam-6486	101	60	∈	∈	PROPN
ejpam-6486	101	61	n	n	CCONJ
ejpam-6486	101	62	such	such	ADJ
ejpam-6486	101	63	that	that	SCONJ
ejpam-6486	101	64	p(sq+p	p(sq+p	NOUN
ejpam-6486	101	65	,	,	PUNCT
ejpam-6486	101	66	sq,ℑ	sq,ℑ	PROPN
ejpam-6486	101	67	)	)	PUNCT
ejpam-6486	101	68	>	>	X
ejpam-6486	102	1	1−	1−	NUM
ejpam-6486	102	2	ε	ε	PROPN
ejpam-6486	102	3	for	for	ADP
ejpam-6486	102	4	all	all	DET
ejpam-6486	102	5	q	q	DET
ejpam-6486	102	6	≥	≥	NOUN
ejpam-6486	102	7	q0	q0	PROPN
ejpam-6486	102	8	,	,	PUNCT
ejpam-6486	102	9	p	p	PROPN
ejpam-6486	102	10	∈	∈	PROPN
ejpam-6486	102	11	n.	n.	NOUN
ejpam-6486	102	12	remark	remark	NOUN
ejpam-6486	102	13	1	1	NUM
ejpam-6486	102	14	.	.	PUNCT
ejpam-6486	103	1	[	[	X
ejpam-6486	103	2	10	10	NUM
ejpam-6486	103	3	]	]	PUNCT
ejpam-6486	103	4	for	for	ADP
ejpam-6486	103	5	any	any	DET
ejpam-6486	103	6	binary	binary	ADJ
ejpam-6486	103	7	relation	relation	NOUN
ejpam-6486	103	8	r	r	NOUN
ejpam-6486	103	9	,	,	PUNCT
ejpam-6486	103	10	every	every	DET
ejpam-6486	103	11	standard	standard	ADJ
ejpam-6486	103	12	cauchy	cauchy	ADJ
ejpam-6486	103	13	sequence	sequence	NOUN
ejpam-6486	103	14	is	be	AUX
ejpam-6486	103	15	an	an	DET
ejpam-6486	103	16	rcauchy	rcauchy	NOUN
ejpam-6486	103	17	sequence	sequence	NOUN
ejpam-6486	103	18	.	.	PUNCT
ejpam-6486	104	1	the	the	DET
ejpam-6486	104	2	notions	notion	NOUN
ejpam-6486	104	3	coincide	coincide	VERB
ejpam-6486	104	4	when	when	SCONJ
ejpam-6486	104	5	r	r	NOUN
ejpam-6486	104	6	is	be	AUX
ejpam-6486	104	7	the	the	DET
ejpam-6486	104	8	universal	universal	ADJ
ejpam-6486	104	9	relation	relation	NOUN
ejpam-6486	104	10	on	on	ADP
ejpam-6486	104	11	e.	e.	PROPN
ejpam-6486	104	12	definition	definition	NOUN
ejpam-6486	104	13	13	13	NUM
ejpam-6486	104	14	.	.	PUNCT
ejpam-6486	105	1	[	[	X
ejpam-6486	105	2	10	10	NUM
ejpam-6486	105	3	]	]	X
ejpam-6486	105	4	a	a	DET
ejpam-6486	105	5	fuzzy	fuzzy	ADJ
ejpam-6486	105	6	metric	metric	ADJ
ejpam-6486	105	7	space	space	NOUN
ejpam-6486	105	8	(	(	PUNCT
ejpam-6486	105	9	e	e	NOUN
ejpam-6486	105	10	,	,	PUNCT
ejpam-6486	105	11	p,⋏	p,⋏	NOUN
ejpam-6486	105	12	)	)	PUNCT
ejpam-6486	105	13	endowed	endow	VERB
ejpam-6486	105	14	with	with	ADP
ejpam-6486	105	15	a	a	DET
ejpam-6486	105	16	binary	binary	ADJ
ejpam-6486	105	17	relation	relation	NOUN
ejpam-6486	105	18	r	r	NOUN
ejpam-6486	105	19	is	be	AUX
ejpam-6486	105	20	said	say	VERB
ejpam-6486	105	21	to	to	PART
ejpam-6486	105	22	be	be	AUX
ejpam-6486	105	23	r	r	NOUN
ejpam-6486	105	24	-	-	NOUN
ejpam-6486	105	25	complete	complete	ADJ
ejpam-6486	105	26	if	if	SCONJ
ejpam-6486	105	27	every	every	DET
ejpam-6486	105	28	r	r	NOUN
ejpam-6486	105	29	-	-	PUNCT
ejpam-6486	105	30	cauchy	cauchy	ADJ
ejpam-6486	105	31	sequence	sequence	NOUN
ejpam-6486	105	32	converges	converge	VERB
ejpam-6486	105	33	in	in	ADP
ejpam-6486	105	34	e.	e.	PROPN
ejpam-6486	105	35	remark	remark	PROPN
ejpam-6486	105	36	2	2	NUM
ejpam-6486	105	37	.	.	PUNCT
ejpam-6486	106	1	[	[	X
ejpam-6486	106	2	10	10	NUM
ejpam-6486	106	3	]	]	PUNCT
ejpam-6486	106	4	every	every	DET
ejpam-6486	106	5	complete	complete	ADJ
ejpam-6486	106	6	fuzzy	fuzzy	ADJ
ejpam-6486	106	7	metric	metric	ADJ
ejpam-6486	106	8	space	space	NOUN
ejpam-6486	106	9	is	be	AUX
ejpam-6486	106	10	r	r	NOUN
ejpam-6486	106	11	-	-	NOUN
ejpam-6486	106	12	complete	complete	ADJ
ejpam-6486	106	13	for	for	ADP
ejpam-6486	106	14	any	any	DET
ejpam-6486	106	15	binary	binary	PROPN
ejpam-6486	106	16	relation	relation	PROPN
ejpam-6486	106	17	r.	r.	PROPN
ejpam-6486	106	18	definition	definition	NOUN
ejpam-6486	106	19	14	14	NUM
ejpam-6486	106	20	.	.	PUNCT
ejpam-6486	107	1	[	[	X
ejpam-6486	107	2	35	35	NUM
ejpam-6486	107	3	]	]	PUNCT
ejpam-6486	107	4	let	let	VERB
ejpam-6486	107	5	e	e	PRON
ejpam-6486	107	6	be	be	AUX
ejpam-6486	107	7	a	a	DET
ejpam-6486	107	8	nonempty	nonempty	ADV
ejpam-6486	107	9	set	set	VERB
ejpam-6486	107	10	and	and	CCONJ
ejpam-6486	107	11	r	r	NOUN
ejpam-6486	107	12	a	a	DET
ejpam-6486	107	13	binary	binary	ADJ
ejpam-6486	107	14	relation	relation	NOUN
ejpam-6486	107	15	on	on	ADP
ejpam-6486	107	16	e.	e.	PROPN
ejpam-6486	107	17	for	for	ADP
ejpam-6486	107	18	s	s	PROPN
ejpam-6486	107	19	,	,	PUNCT
ejpam-6486	107	20	t	t	PROPN
ejpam-6486	107	21	∈	∈	PROPN
ejpam-6486	107	22	e	e	NOUN
ejpam-6486	107	23	,	,	PUNCT
ejpam-6486	107	24	a	a	DET
ejpam-6486	107	25	path	path	NOUN
ejpam-6486	107	26	of	of	ADP
ejpam-6486	107	27	length	length	NOUN
ejpam-6486	107	28	ℓ	ℓ	PROPN
ejpam-6486	107	29	from	from	ADP
ejpam-6486	107	30	s	s	PRON
ejpam-6486	107	31	to	to	ADP
ejpam-6486	107	32	t	t	PROPN
ejpam-6486	107	33	in	in	ADP
ejpam-6486	107	34	r	r	NOUN
ejpam-6486	107	35	is	be	AUX
ejpam-6486	107	36	a	a	DET
ejpam-6486	107	37	finite	finite	ADJ
ejpam-6486	107	38	sequence	sequence	NOUN
ejpam-6486	107	39	{	{	PUNCT
ejpam-6486	107	40	γ0,γ1	γ0,γ1	PROPN
ejpam-6486	107	41	,	,	PUNCT
ejpam-6486	107	42	.	.	PUNCT
ejpam-6486	107	43	.	.	PUNCT
ejpam-6486	108	1	.	.	PUNCT
ejpam-6486	109	1	,	,	PUNCT
ejpam-6486	109	2	γℓ	γℓ	NOUN
ejpam-6486	109	3	}	}	PUNCT
ejpam-6486	109	4	⊆	⊆	NUM
ejpam-6486	109	5	e	e	ADP
ejpam-6486	109	6	such	such	ADJ
ejpam-6486	109	7	that	that	PRON
ejpam-6486	109	8	:	:	PUNCT
ejpam-6486	109	9	a.	a.	NOUN
ejpam-6486	109	10	moussaoui	moussaoui	NOUN
ejpam-6486	109	11	,	,	PUNCT
ejpam-6486	109	12	m.	m.	NOUN
ejpam-6486	109	13	pantović	pantović	NOUN
ejpam-6486	109	14	,	,	PUNCT
ejpam-6486	109	15	s.	s.	PROPN
ejpam-6486	109	16	radenović	radenović	PROPN
ejpam-6486	109	17	/	/	SYM
ejpam-6486	109	18	eur	eur	PROPN
ejpam-6486	109	19	.	.	PUNCT
ejpam-6486	110	1	j.	j.	PROPN
ejpam-6486	110	2	pure	pure	PROPN
ejpam-6486	110	3	appl	appl	PROPN
ejpam-6486	110	4	.	.	PROPN
ejpam-6486	110	5	math	math	PROPN
ejpam-6486	110	6	,	,	PUNCT
ejpam-6486	110	7	18	18	NUM
ejpam-6486	110	8	(	(	PUNCT
ejpam-6486	110	9	3	3	NUM
ejpam-6486	110	10	)	)	PUNCT
ejpam-6486	110	11	(	(	PUNCT
ejpam-6486	110	12	2025	2025	NUM
ejpam-6486	110	13	)	)	PUNCT
ejpam-6486	110	14	,	,	PUNCT
ejpam-6486	110	15	6486	6486	NUM
ejpam-6486	110	16	6	6	NUM
ejpam-6486	110	17	of	of	ADP
ejpam-6486	110	18	18	18	NUM
ejpam-6486	110	19	(	(	PUNCT
ejpam-6486	110	20	l1	l1	PROPN
ejpam-6486	110	21	)	)	PUNCT
ejpam-6486	110	22	γ0	γ0	PROPN
ejpam-6486	110	23	=	=	SYM
ejpam-6486	110	24	s	s	PROPN
ejpam-6486	110	25	and	and	CCONJ
ejpam-6486	110	26	γℓ	γℓ	PROPN
ejpam-6486	110	27	=	=	SYM
ejpam-6486	110	28	t	t	PROPN
ejpam-6486	110	29	,	,	PUNCT
ejpam-6486	110	30	(	(	PUNCT
ejpam-6486	110	31	l2	l2	NOUN
ejpam-6486	110	32	)	)	PUNCT
ejpam-6486	110	33	(	(	PUNCT
ejpam-6486	110	34	γj	γj	NOUN
ejpam-6486	110	35	,	,	PUNCT
ejpam-6486	110	36	γj+1	γj+1	PROPN
ejpam-6486	110	37	)	)	PUNCT
ejpam-6486	110	38	∈	∈	PROPN
ejpam-6486	110	39	r	r	NOUN
ejpam-6486	110	40	for	for	ADP
ejpam-6486	110	41	all	all	DET
ejpam-6486	110	42	j	j	NOUN
ejpam-6486	110	43	=	=	SYM
ejpam-6486	110	44	0	0	NUM
ejpam-6486	110	45	,	,	PUNCT
ejpam-6486	110	46	1	1	NUM
ejpam-6486	110	47	,	,	PUNCT
ejpam-6486	110	48	.	.	PUNCT
ejpam-6486	110	49	.	.	PUNCT
ejpam-6486	111	1	.	.	PUNCT
ejpam-6486	112	1	,	,	PUNCT
ejpam-6486	112	2	ℓ−	ℓ−	PROPN
ejpam-6486	112	3	1	1	NUM
ejpam-6486	112	4	.	.	PUNCT
ejpam-6486	112	5	note	note	VERB
ejpam-6486	112	6	that	that	SCONJ
ejpam-6486	112	7	a	a	DET
ejpam-6486	112	8	path	path	NOUN
ejpam-6486	112	9	of	of	ADP
ejpam-6486	112	10	length	length	NOUN
ejpam-6486	112	11	ℓ	ℓ	PROPN
ejpam-6486	112	12	contains	contain	VERB
ejpam-6486	112	13	ℓ+	ℓ+	X
ejpam-6486	112	14	1	1	NUM
ejpam-6486	112	15	elements	element	NOUN
ejpam-6486	112	16	.	.	PUNCT
ejpam-6486	113	1	let	let	VERB
ejpam-6486	113	2	e	e	PRON
ejpam-6486	113	3	be	be	AUX
ejpam-6486	113	4	a	a	DET
ejpam-6486	113	5	nonempty	nonempty	ADJ
ejpam-6486	113	6	set	set	VERB
ejpam-6486	113	7	,	,	PUNCT
ejpam-6486	113	8	u	u	NOUN
ejpam-6486	113	9	⊆	⊆	NUM
ejpam-6486	113	10	e	e	NOUN
ejpam-6486	113	11	,	,	PUNCT
ejpam-6486	113	12	and	and	CCONJ
ejpam-6486	113	13	k	k	NOUN
ejpam-6486	113	14	:	:	PUNCT
ejpam-6486	113	15	e	e	X
ejpam-6486	113	16	→	→	PUNCT
ejpam-6486	113	17	e	e	AUX
ejpam-6486	113	18	be	be	AUX
ejpam-6486	113	19	a	a	DET
ejpam-6486	113	20	self	self	NOUN
ejpam-6486	113	21	-	-	PUNCT
ejpam-6486	113	22	mapping	mapping	NOUN
ejpam-6486	113	23	.	.	PUNCT
ejpam-6486	114	1	we	we	PRON
ejpam-6486	114	2	denote	denote	VERB
ejpam-6486	114	3	:	:	PUNCT
ejpam-6486	114	4	e(k	e(k	NOUN
ejpam-6486	114	5	,	,	PUNCT
ejpam-6486	114	6	r	r	NOUN
ejpam-6486	114	7	)	)	PUNCT
ejpam-6486	114	8	:	:	PUNCT
ejpam-6486	114	9	=	=	PUNCT
ejpam-6486	114	10	{	{	PUNCT
ejpam-6486	114	11	s	s	X
ejpam-6486	114	12	∈	∈	X
ejpam-6486	114	13	e	e	NOUN
ejpam-6486	114	14	:	:	PUNCT
ejpam-6486	114	15	(	(	PUNCT
ejpam-6486	114	16	s	s	X
ejpam-6486	114	17	,	,	PUNCT
ejpam-6486	114	18	ks	ks	NOUN
ejpam-6486	114	19	)	)	PUNCT
ejpam-6486	114	20	∈	∈	PROPN
ejpam-6486	114	21	r	r	NOUN
ejpam-6486	114	22	}	}	PUNCT
ejpam-6486	114	23	,	,	PUNCT
ejpam-6486	114	24	p(s	p(s	PROPN
ejpam-6486	114	25	,	,	PUNCT
ejpam-6486	114	26	t	t	PROPN
ejpam-6486	114	27	,	,	PUNCT
ejpam-6486	114	28	r	r	NOUN
ejpam-6486	114	29	)	)	PUNCT
ejpam-6486	114	30	:	:	PUNCT
ejpam-6486	114	31	=	=	PUNCT
ejpam-6486	114	32	the	the	DET
ejpam-6486	114	33	set	set	NOUN
ejpam-6486	114	34	of	of	ADP
ejpam-6486	114	35	all	all	DET
ejpam-6486	114	36	paths	path	NOUN
ejpam-6486	114	37	in	in	ADP
ejpam-6486	114	38	r	r	NOUN
ejpam-6486	114	39	connecting	connect	VERB
ejpam-6486	114	40	s	s	PRON
ejpam-6486	114	41	to	to	ADP
ejpam-6486	114	42	t	t	PROPN
ejpam-6486	114	43	,	,	PUNCT
ejpam-6486	114	44	and	and	CCONJ
ejpam-6486	114	45	r|u	r|u	VERB
ejpam-6486	114	46	:	:	PUNCT
ejpam-6486	115	1	=	=	SYM
ejpam-6486	115	2	r∩	r∩	PROPN
ejpam-6486	115	3	(	(	PUNCT
ejpam-6486	115	4	u	u	NOUN
ejpam-6486	115	5	×	×	PROPN
ejpam-6486	115	6	u	u	NOUN
ejpam-6486	115	7	)	)	PUNCT
ejpam-6486	115	8	,	,	PUNCT
ejpam-6486	115	9	which	which	PRON
ejpam-6486	115	10	is	be	AUX
ejpam-6486	115	11	the	the	DET
ejpam-6486	115	12	restriction	restriction	NOUN
ejpam-6486	115	13	of	of	ADP
ejpam-6486	115	14	r	r	NOUN
ejpam-6486	115	15	to	to	ADP
ejpam-6486	115	16	u	u	PRON
ejpam-6486	115	17	,	,	PUNCT
ejpam-6486	115	18	naturally	naturally	ADV
ejpam-6486	115	19	induced	induce	VERB
ejpam-6486	115	20	by	by	ADP
ejpam-6486	115	21	r.	r.	PROPN
ejpam-6486	115	22	definition	definition	NOUN
ejpam-6486	115	23	15	15	NUM
ejpam-6486	115	24	.	.	PUNCT
ejpam-6486	116	1	let	let	AUX
ejpam-6486	116	2	(	(	PUNCT
ejpam-6486	116	3	e	e	NOUN
ejpam-6486	116	4	,	,	PUNCT
ejpam-6486	116	5	p,⋏	p,⋏	NOUN
ejpam-6486	116	6	)	)	PUNCT
ejpam-6486	116	7	be	be	VERB
ejpam-6486	116	8	a	a	DET
ejpam-6486	116	9	fuzzy	fuzzy	ADJ
ejpam-6486	116	10	metric	metric	ADJ
ejpam-6486	116	11	space	space	NOUN
ejpam-6486	116	12	,	,	PUNCT
ejpam-6486	116	13	and	and	CCONJ
ejpam-6486	116	14	r	r	NOUN
ejpam-6486	116	15	a	a	DET
ejpam-6486	116	16	binary	binary	ADJ
ejpam-6486	116	17	relation	relation	NOUN
ejpam-6486	116	18	on	on	ADP
ejpam-6486	116	19	e.	e.	PROPN
ejpam-6486	116	20	a	a	DET
ejpam-6486	116	21	mapping	mapping	NOUN
ejpam-6486	116	22	k	k	NOUN
ejpam-6486	116	23	:	:	PUNCT
ejpam-6486	116	24	e	e	X
ejpam-6486	116	25	→	→	PUNCT
ejpam-6486	116	26	e	e	X
ejpam-6486	116	27	is	be	AUX
ejpam-6486	116	28	said	say	VERB
ejpam-6486	116	29	to	to	PART
ejpam-6486	116	30	be	be	AUX
ejpam-6486	116	31	r	r	NOUN
ejpam-6486	116	32	-	-	ADJ
ejpam-6486	116	33	continuous	continuous	ADJ
ejpam-6486	116	34	at	at	ADP
ejpam-6486	116	35	s	s	NOUN
ejpam-6486	116	36	∈	∈	NOUN
ejpam-6486	116	37	e	e	NOUN
ejpam-6486	116	38	if	if	SCONJ
ejpam-6486	116	39	for	for	ADP
ejpam-6486	116	40	every	every	DET
ejpam-6486	116	41	r	r	NOUN
ejpam-6486	116	42	-	-	PUNCT
ejpam-6486	116	43	preserving	preserve	VERB
ejpam-6486	116	44	sequence	sequence	NOUN
ejpam-6486	116	45	{	{	PUNCT
ejpam-6486	116	46	sq	sq	VERB
ejpam-6486	116	47	}	}	PUNCT
ejpam-6486	116	48	with	with	ADP
ejpam-6486	116	49	lim	lim	PROPN
ejpam-6486	116	50	q→+∞	q→+∞	PROPN
ejpam-6486	116	51	p(sq	p(sq	PROPN
ejpam-6486	116	52	,	,	PUNCT
ejpam-6486	116	53	s,ℑ	s,ℑ	PROPN
ejpam-6486	116	54	)	)	PUNCT
ejpam-6486	116	55	=	=	SYM
ejpam-6486	117	1	1	1	NUM
ejpam-6486	117	2	for	for	ADP
ejpam-6486	117	3	all	all	DET
ejpam-6486	117	4	ℑ	ℑ	NOUN
ejpam-6486	117	5	>	>	X
ejpam-6486	117	6	0	0	NUM
ejpam-6486	118	1	,	,	PUNCT
ejpam-6486	118	2	it	it	PRON
ejpam-6486	118	3	follows	follow	VERB
ejpam-6486	118	4	that	that	SCONJ
ejpam-6486	118	5	lim	lim	PROPN
ejpam-6486	118	6	q→+∞	q→+∞	PROPN
ejpam-6486	118	7	p(ksq	p(ksq	PROPN
ejpam-6486	118	8	,	,	PUNCT
ejpam-6486	118	9	ks,ℑ	ks,ℑ	PROPN
ejpam-6486	118	10	)	)	PUNCT
ejpam-6486	118	11	=	=	SYM
ejpam-6486	118	12	1	1	NUM
ejpam-6486	118	13	for	for	ADP
ejpam-6486	118	14	all	all	DET
ejpam-6486	118	15	ℑ	ℑ	NOUN
ejpam-6486	118	16	>	>	X
ejpam-6486	118	17	0	0	X
ejpam-6486	118	18	.	.	PUNCT
ejpam-6486	119	1	if	if	SCONJ
ejpam-6486	119	2	k	k	PROPN
ejpam-6486	119	3	is	be	AUX
ejpam-6486	119	4	r	r	NOUN
ejpam-6486	119	5	-	-	ADJ
ejpam-6486	119	6	continuous	continuous	ADJ
ejpam-6486	119	7	at	at	ADP
ejpam-6486	119	8	every	every	DET
ejpam-6486	119	9	s	s	X
ejpam-6486	119	10	∈	∈	ADJ
ejpam-6486	119	11	e	e	NOUN
ejpam-6486	119	12	,	,	PUNCT
ejpam-6486	119	13	then	then	ADV
ejpam-6486	119	14	k	k	PROPN
ejpam-6486	119	15	is	be	AUX
ejpam-6486	119	16	r	r	NOUN
ejpam-6486	119	17	-	-	PUNCT
ejpam-6486	119	18	continuous	continuous	ADJ
ejpam-6486	119	19	.	.	PUNCT
ejpam-6486	120	1	remark	remark	NOUN
ejpam-6486	120	2	3	3	NUM
ejpam-6486	120	3	.	.	PUNCT
ejpam-6486	121	1	every	every	DET
ejpam-6486	121	2	continuous	continuous	ADJ
ejpam-6486	121	3	mapping	mapping	NOUN
ejpam-6486	121	4	is	be	AUX
ejpam-6486	121	5	r	r	NOUN
ejpam-6486	121	6	-	-	ADJ
ejpam-6486	121	7	continuous	continuous	ADJ
ejpam-6486	121	8	for	for	ADP
ejpam-6486	121	9	any	any	DET
ejpam-6486	121	10	binary	binary	PROPN
ejpam-6486	121	11	relation	relation	PROPN
ejpam-6486	121	12	r.	r.	PROPN
ejpam-6486	121	13	in	in	ADP
ejpam-6486	121	14	particular	particular	ADJ
ejpam-6486	121	15	,	,	PUNCT
ejpam-6486	121	16	if	if	SCONJ
ejpam-6486	121	17	r	r	NOUN
ejpam-6486	121	18	is	be	AUX
ejpam-6486	121	19	the	the	DET
ejpam-6486	121	20	universal	universal	ADJ
ejpam-6486	121	21	relation	relation	NOUN
ejpam-6486	121	22	on	on	ADP
ejpam-6486	121	23	e	e	NOUN
ejpam-6486	121	24	,	,	PUNCT
ejpam-6486	121	25	then	then	ADV
ejpam-6486	121	26	r	r	NOUN
ejpam-6486	121	27	-	-	PUNCT
ejpam-6486	121	28	continuity	continuity	NOUN
ejpam-6486	121	29	coincides	coincide	VERB
ejpam-6486	121	30	with	with	ADP
ejpam-6486	121	31	usual	usual	ADJ
ejpam-6486	121	32	continuity	continuity	NOUN
ejpam-6486	121	33	.	.	PUNCT
ejpam-6486	122	1	to	to	PART
ejpam-6486	122	2	support	support	VERB
ejpam-6486	122	3	our	our	PRON
ejpam-6486	122	4	main	main	ADJ
ejpam-6486	122	5	theorems	theorem	NOUN
ejpam-6486	122	6	,	,	PUNCT
ejpam-6486	122	7	we	we	PRON
ejpam-6486	122	8	use	use	VERB
ejpam-6486	122	9	the	the	DET
ejpam-6486	122	10	following	follow	VERB
ejpam-6486	122	11	lemma	lemma	PROPN
ejpam-6486	122	12	.	.	PUNCT
ejpam-6486	123	1	lemma	lemma	PROPN
ejpam-6486	123	2	2	2	NUM
ejpam-6486	123	3	.	.	PUNCT
ejpam-6486	124	1	[	[	X
ejpam-6486	124	2	10	10	NUM
ejpam-6486	124	3	]	]	PUNCT
ejpam-6486	124	4	let	let	VERB
ejpam-6486	124	5	k	k	NOUN
ejpam-6486	124	6	:	:	PUNCT
ejpam-6486	124	7	e	e	X
ejpam-6486	124	8	→	→	PUNCT
ejpam-6486	124	9	e	e	AUX
ejpam-6486	124	10	be	be	AUX
ejpam-6486	124	11	a	a	DET
ejpam-6486	124	12	self	self	NOUN
ejpam-6486	124	13	-	-	PUNCT
ejpam-6486	124	14	mapping	mapping	NOUN
ejpam-6486	124	15	,	,	PUNCT
ejpam-6486	124	16	and	and	CCONJ
ejpam-6486	124	17	let	let	VERB
ejpam-6486	124	18	r	r	PRON
ejpam-6486	124	19	be	be	AUX
ejpam-6486	124	20	a	a	DET
ejpam-6486	124	21	binary	binary	ADJ
ejpam-6486	124	22	relation	relation	NOUN
ejpam-6486	124	23	on	on	ADP
ejpam-6486	124	24	e	e	PROPN
ejpam-6486	124	25	that	that	PRON
ejpam-6486	124	26	is	be	AUX
ejpam-6486	124	27	transitive	transitive	ADJ
ejpam-6486	124	28	and	and	CCONJ
ejpam-6486	124	29	k	k	NOUN
ejpam-6486	124	30	-	-	ADJ
ejpam-6486	124	31	closed	closed	ADJ
ejpam-6486	124	32	.	.	PUNCT
ejpam-6486	125	1	assume	assume	VERB
ejpam-6486	125	2	there	there	PRON
ejpam-6486	125	3	exists	exist	VERB
ejpam-6486	125	4	s0	s0	PROPN
ejpam-6486	125	5	∈	∈	PROPN
ejpam-6486	125	6	e	e	NOUN
ejpam-6486	125	7	such	such	ADJ
ejpam-6486	125	8	that	that	SCONJ
ejpam-6486	125	9	s0rks0	s0rks0	NOUN
ejpam-6486	125	10	.	.	PUNCT
ejpam-6486	126	1	define	define	VERB
ejpam-6486	126	2	the	the	DET
ejpam-6486	126	3	sequence	sequence	NOUN
ejpam-6486	126	4	{	{	PUNCT
ejpam-6486	126	5	sq	sq	ADJ
ejpam-6486	126	6	}	}	PUNCT
ejpam-6486	126	7	recursively	recursively	ADV
ejpam-6486	126	8	by	by	ADP
ejpam-6486	126	9	sq	sq	PROPN
ejpam-6486	126	10	=	=	SYM
ejpam-6486	126	11	ksq−1	ksq−1	PROPN
ejpam-6486	126	12	,	,	PUNCT
ejpam-6486	126	13	q	q	PROPN
ejpam-6486	126	14	∈	∈	PROPN
ejpam-6486	126	15	n.	n.	NOUN
ejpam-6486	126	16	then	then	ADV
ejpam-6486	126	17	,	,	PUNCT
ejpam-6486	126	18	for	for	ADP
ejpam-6486	126	19	all	all	DET
ejpam-6486	126	20	p	p	NOUN
ejpam-6486	126	21	,	,	PUNCT
ejpam-6486	126	22	q	q	PUNCT
ejpam-6486	126	23	∈	∈	PROPN
ejpam-6486	126	24	n	n	INTJ
ejpam-6486	126	25	with	with	ADP
ejpam-6486	126	26	q	q	X
ejpam-6486	126	27	<	<	X
ejpam-6486	126	28	p	p	X
ejpam-6486	126	29	,	,	PUNCT
ejpam-6486	126	30	the	the	DET
ejpam-6486	126	31	relation	relation	NOUN
ejpam-6486	126	32	sprsq	sprsq	PROPN
ejpam-6486	126	33	holds	hold	VERB
ejpam-6486	126	34	.	.	PUNCT
ejpam-6486	126	35	a.	a.	PROPN
ejpam-6486	126	36	moussaoui	moussaoui	PROPN
ejpam-6486	126	37	,	,	PUNCT
ejpam-6486	126	38	m.	m.	NOUN
ejpam-6486	126	39	pantović	pantović	NOUN
ejpam-6486	126	40	,	,	PUNCT
ejpam-6486	126	41	s.	s.	PROPN
ejpam-6486	126	42	radenović	radenović	PROPN
ejpam-6486	126	43	/	/	SYM
ejpam-6486	126	44	eur	eur	PROPN
ejpam-6486	126	45	.	.	PUNCT
ejpam-6486	127	1	j.	j.	PROPN
ejpam-6486	127	2	pure	pure	PROPN
ejpam-6486	127	3	appl	appl	PROPN
ejpam-6486	127	4	.	.	PROPN
ejpam-6486	127	5	math	math	PROPN
ejpam-6486	127	6	,	,	PUNCT
ejpam-6486	127	7	18	18	NUM
ejpam-6486	127	8	(	(	PUNCT
ejpam-6486	127	9	3	3	NUM
ejpam-6486	127	10	)	)	PUNCT
ejpam-6486	127	11	(	(	PUNCT
ejpam-6486	127	12	2025	2025	NUM
ejpam-6486	127	13	)	)	PUNCT
ejpam-6486	127	14	,	,	PUNCT
ejpam-6486	127	15	6486	6486	NUM
ejpam-6486	127	16	7	7	NUM
ejpam-6486	127	17	of	of	ADP
ejpam-6486	127	18	18	18	NUM
ejpam-6486	127	19	2	2	NUM
ejpam-6486	127	20	.	.	PUNCT
ejpam-6486	127	21	main	main	ADJ
ejpam-6486	127	22	results	result	NOUN
ejpam-6486	127	23	in	in	ADP
ejpam-6486	127	24	this	this	DET
ejpam-6486	127	25	section	section	NOUN
ejpam-6486	127	26	,	,	PUNCT
ejpam-6486	127	27	we	we	PRON
ejpam-6486	127	28	present	present	VERB
ejpam-6486	127	29	the	the	DET
ejpam-6486	127	30	principal	principal	ADJ
ejpam-6486	127	31	results	result	NOUN
ejpam-6486	127	32	.	.	PUNCT
ejpam-6486	128	1	we	we	PRON
ejpam-6486	128	2	begin	begin	VERB
ejpam-6486	128	3	by	by	ADP
ejpam-6486	128	4	establishing	establish	VERB
ejpam-6486	128	5	a	a	DET
ejpam-6486	128	6	fundamental	fundamental	ADJ
ejpam-6486	128	7	proposition	proposition	NOUN
ejpam-6486	128	8	that	that	PRON
ejpam-6486	128	9	articulates	articulate	VERB
ejpam-6486	128	10	a	a	DET
ejpam-6486	128	11	fuzzy	fuzzy	ADJ
ejpam-6486	128	12	functional	functional	ADJ
ejpam-6486	128	13	contraction	contraction	NOUN
ejpam-6486	128	14	condition	condition	NOUN
ejpam-6486	128	15	within	within	ADP
ejpam-6486	128	16	fuzzy	fuzzy	ADJ
ejpam-6486	128	17	metric	metric	ADJ
ejpam-6486	128	18	spaces	space	NOUN
ejpam-6486	128	19	endowed	endow	VERB
ejpam-6486	128	20	with	with	ADP
ejpam-6486	128	21	a	a	DET
ejpam-6486	128	22	binary	binary	ADJ
ejpam-6486	128	23	relation	relation	NOUN
ejpam-6486	128	24	.	.	PUNCT
ejpam-6486	129	1	this	this	DET
ejpam-6486	129	2	condition	condition	NOUN
ejpam-6486	129	3	is	be	AUX
ejpam-6486	129	4	framed	frame	VERB
ejpam-6486	129	5	through	through	ADP
ejpam-6486	129	6	a	a	DET
ejpam-6486	129	7	control	control	NOUN
ejpam-6486	129	8	function	function	NOUN
ejpam-6486	129	9	s	s	AUX
ejpam-6486	129	10	belonging	belong	VERB
ejpam-6486	129	11	to	to	ADP
ejpam-6486	129	12	the	the	DET
ejpam-6486	129	13	family	family	NOUN
ejpam-6486	129	14	fz	fz	PROPN
ejpam-6486	129	15	,	,	PUNCT
ejpam-6486	129	16	which	which	PRON
ejpam-6486	129	17	governs	govern	VERB
ejpam-6486	129	18	the	the	DET
ejpam-6486	129	19	contractive	contractive	ADJ
ejpam-6486	129	20	behavior	behavior	NOUN
ejpam-6486	129	21	of	of	ADP
ejpam-6486	129	22	the	the	DET
ejpam-6486	129	23	mapping	mapping	NOUN
ejpam-6486	129	24	k	k	NOUN
ejpam-6486	129	25	with	with	ADP
ejpam-6486	129	26	respect	respect	NOUN
ejpam-6486	129	27	to	to	ADP
ejpam-6486	129	28	the	the	DET
ejpam-6486	129	29	fuzzy	fuzzy	ADJ
ejpam-6486	129	30	metricp	metricp	ADV
ejpam-6486	129	31	.	.	PUNCT
ejpam-6486	130	1	the	the	DET
ejpam-6486	130	2	proposition	proposition	NOUN
ejpam-6486	130	3	introduces	introduce	VERB
ejpam-6486	130	4	complementary	complementary	ADJ
ejpam-6486	130	5	hypotheses	hypothesis	NOUN
ejpam-6486	130	6	that	that	PRON
ejpam-6486	130	7	will	will	AUX
ejpam-6486	130	8	be	be	AUX
ejpam-6486	130	9	needed	need	VERB
ejpam-6486	130	10	throughout	throughout	ADP
ejpam-6486	130	11	the	the	DET
ejpam-6486	130	12	rest	rest	NOUN
ejpam-6486	130	13	of	of	ADP
ejpam-6486	130	14	the	the	DET
ejpam-6486	130	15	paper	paper	NOUN
ejpam-6486	130	16	.	.	PUNCT
ejpam-6486	131	1	proposition	proposition	NOUN
ejpam-6486	131	2	1	1	NUM
ejpam-6486	131	3	.	.	PUNCT
ejpam-6486	132	1	let	let	AUX
ejpam-6486	132	2	(	(	PUNCT
ejpam-6486	132	3	e	e	NOUN
ejpam-6486	132	4	,	,	PUNCT
ejpam-6486	132	5	p,⋏	p,⋏	NOUN
ejpam-6486	132	6	)	)	PUNCT
ejpam-6486	132	7	be	be	VERB
ejpam-6486	132	8	a	a	DET
ejpam-6486	132	9	fuzzy	fuzzy	ADJ
ejpam-6486	132	10	metric	metric	ADJ
ejpam-6486	132	11	space	space	NOUN
ejpam-6486	132	12	,	,	PUNCT
ejpam-6486	132	13	r	r	NOUN
ejpam-6486	132	14	a	a	DET
ejpam-6486	132	15	binary	binary	ADJ
ejpam-6486	132	16	relation	relation	NOUN
ejpam-6486	132	17	on	on	ADP
ejpam-6486	132	18	e	e	NOUN
ejpam-6486	132	19	,	,	PUNCT
ejpam-6486	132	20	and	and	CCONJ
ejpam-6486	132	21	let	let	VERB
ejpam-6486	132	22	k	k	NOUN
ejpam-6486	132	23	:	:	PUNCT
ejpam-6486	132	24	e	e	X
ejpam-6486	132	25	→	→	PUNCT
ejpam-6486	132	26	e	e	AUX
ejpam-6486	132	27	be	be	AUX
ejpam-6486	132	28	a	a	DET
ejpam-6486	132	29	mapping	mapping	NOUN
ejpam-6486	132	30	such	such	ADJ
ejpam-6486	132	31	that	that	PRON
ejpam-6486	132	32	for	for	ADP
ejpam-6486	132	33	every	every	DET
ejpam-6486	132	34	pair	pair	NOUN
ejpam-6486	132	35	of	of	ADP
ejpam-6486	132	36	elements	element	NOUN
ejpam-6486	132	37	s	s	PART
ejpam-6486	132	38	,	,	PUNCT
ejpam-6486	132	39	t	t	PROPN
ejpam-6486	132	40	∈	∈	PROPN
ejpam-6486	132	41	e	e	X
ejpam-6486	132	42	with	with	ADP
ejpam-6486	132	43	(	(	PUNCT
ejpam-6486	132	44	s	s	PROPN
ejpam-6486	132	45	,	,	PUNCT
ejpam-6486	132	46	t	t	NOUN
ejpam-6486	132	47	)	)	PUNCT
ejpam-6486	132	48	∈	∈	PROPN
ejpam-6486	132	49	r	r	NOUN
ejpam-6486	132	50	and	and	CCONJ
ejpam-6486	132	51	every	every	DET
ejpam-6486	132	52	positive	positive	ADJ
ejpam-6486	132	53	real	real	ADJ
ejpam-6486	132	54	number	number	NOUN
ejpam-6486	132	55	ℑ	ℑ	PROPN
ejpam-6486	132	56	,	,	PUNCT
ejpam-6486	132	57	the	the	DET
ejpam-6486	132	58	following	follow	VERB
ejpam-6486	132	59	inequality	inequality	NOUN
ejpam-6486	132	60	holds	hold	VERB
ejpam-6486	132	61	with	with	ADP
ejpam-6486	132	62	respect	respect	NOUN
ejpam-6486	132	63	to	to	ADP
ejpam-6486	132	64	the	the	DET
ejpam-6486	132	65	function	function	NOUN
ejpam-6486	132	66	s	s	VERB
ejpam-6486	132	67	in	in	ADP
ejpam-6486	132	68	the	the	DET
ejpam-6486	132	69	family	family	NOUN
ejpam-6486	132	70	fz	fz	PROPN
ejpam-6486	132	71	:	:	PUNCT
ejpam-6486	132	72	s	s	X
ejpam-6486	132	73	(	(	PUNCT
ejpam-6486	132	74	p(ks	p(ks	PROPN
ejpam-6486	132	75	,	,	PUNCT
ejpam-6486	132	76	kt,ℑ),p(s	kt,ℑ),p(s	PROPN
ejpam-6486	132	77	,	,	PUNCT
ejpam-6486	132	78	t,ℑ	t,ℑ	PROPN
ejpam-6486	132	79	)	)	PUNCT
ejpam-6486	132	80	)	)	PUNCT
ejpam-6486	132	81	≥	≥	NOUN
ejpam-6486	132	82	0	0	NUM
ejpam-6486	132	83	.	.	PUNCT
ejpam-6486	133	1	(	(	PUNCT
ejpam-6486	133	2	1	1	X
ejpam-6486	133	3	)	)	PUNCT
ejpam-6486	133	4	then	then	ADV
ejpam-6486	133	5	the	the	DET
ejpam-6486	133	6	following	follow	VERB
ejpam-6486	133	7	two	two	NUM
ejpam-6486	133	8	conditions	condition	NOUN
ejpam-6486	133	9	complement	complement	VERB
ejpam-6486	133	10	each	each	DET
ejpam-6486	133	11	other	other	ADJ
ejpam-6486	133	12	:	:	PUNCT
ejpam-6486	133	13	(	(	PUNCT
ejpam-6486	133	14	h1	h1	PROPN
ejpam-6486	133	15	)	)	PUNCT
ejpam-6486	133	16	for	for	ADP
ejpam-6486	133	17	all	all	DET
ejpam-6486	133	18	s	s	PROPN
ejpam-6486	133	19	,	,	PUNCT
ejpam-6486	133	20	t	t	PROPN
ejpam-6486	133	21	∈	∈	PROPN
ejpam-6486	133	22	e	e	NOUN
ejpam-6486	133	23	such	such	ADJ
ejpam-6486	133	24	that	that	PRON
ejpam-6486	133	25	(	(	PUNCT
ejpam-6486	133	26	s	s	PROPN
ejpam-6486	133	27	,	,	PUNCT
ejpam-6486	133	28	t	t	PROPN
ejpam-6486	133	29	)	)	PUNCT
ejpam-6486	133	30	∈	∈	PROPN
ejpam-6486	133	31	r	r	NOUN
ejpam-6486	133	32	,	,	PUNCT
ejpam-6486	133	33	s	s	PART
ejpam-6486	133	34	(	(	PUNCT
ejpam-6486	133	35	p(ks	p(ks	PROPN
ejpam-6486	133	36	,	,	PUNCT
ejpam-6486	133	37	kt,ℑ),p(s	kt,ℑ),p(s	PROPN
ejpam-6486	133	38	,	,	PUNCT
ejpam-6486	133	39	t,ℑ	t,ℑ	PROPN
ejpam-6486	133	40	)	)	PUNCT
ejpam-6486	133	41	)	)	PUNCT
ejpam-6486	133	42	≥	≥	NOUN
ejpam-6486	133	43	0	0	NUM
ejpam-6486	133	44	,	,	PUNCT
ejpam-6486	133	45	(	(	PUNCT
ejpam-6486	133	46	h2	h2	NOUN
ejpam-6486	133	47	)	)	PUNCT
ejpam-6486	133	48	for	for	ADP
ejpam-6486	133	49	all	all	DET
ejpam-6486	133	50	s	s	PROPN
ejpam-6486	133	51	,	,	PUNCT
ejpam-6486	133	52	t	t	PROPN
ejpam-6486	133	53	∈	∈	PROPN
ejpam-6486	133	54	e	e	NOUN
ejpam-6486	133	55	such	such	ADJ
ejpam-6486	133	56	that	that	SCONJ
ejpam-6486	133	57	[	[	X
ejpam-6486	133	58	s	s	X
ejpam-6486	133	59	,	,	PUNCT
ejpam-6486	133	60	t	t	PROPN
ejpam-6486	133	61	]	]	X
ejpam-6486	133	62	∈	∈	PROPN
ejpam-6486	133	63	r	r	PROPN
ejpam-6486	133	64	,	,	PUNCT
ejpam-6486	133	65	s	s	PART
ejpam-6486	133	66	(	(	PUNCT
ejpam-6486	133	67	p(ks	p(ks	PROPN
ejpam-6486	133	68	,	,	PUNCT
ejpam-6486	133	69	kt,ℑ),p(s	kt,ℑ),p(s	PROPN
ejpam-6486	133	70	,	,	PUNCT
ejpam-6486	133	71	t,ℑ	t,ℑ	PROPN
ejpam-6486	133	72	)	)	PUNCT
ejpam-6486	133	73	)	)	PUNCT
ejpam-6486	133	74	≥	≥	NOUN
ejpam-6486	133	75	0	0	NUM
ejpam-6486	133	76	.	.	PUNCT
ejpam-6486	134	1	proof	proof	NOUN
ejpam-6486	134	2	.	.	PUNCT
ejpam-6486	135	1	the	the	DET
ejpam-6486	135	2	implication	implication	NOUN
ejpam-6486	135	3	(	(	PUNCT
ejpam-6486	135	4	h2	h2	NOUN
ejpam-6486	135	5	)	)	PUNCT
ejpam-6486	135	6	⇒	⇒	NOUN
ejpam-6486	135	7	(	(	PUNCT
ejpam-6486	135	8	h1	h1	PROPN
ejpam-6486	135	9	)	)	PUNCT
ejpam-6486	135	10	is	be	AUX
ejpam-6486	135	11	trivial	trivial	ADJ
ejpam-6486	135	12	.	.	PUNCT
ejpam-6486	136	1	conversely	conversely	ADV
ejpam-6486	136	2	,	,	PUNCT
ejpam-6486	136	3	assuming	assume	VERB
ejpam-6486	136	4	that	that	SCONJ
ejpam-6486	136	5	(	(	PUNCT
ejpam-6486	136	6	h1	h1	NOUN
ejpam-6486	136	7	)	)	PUNCT
ejpam-6486	136	8	holds	hold	VERB
ejpam-6486	136	9	,	,	PUNCT
ejpam-6486	136	10	let	let	VERB
ejpam-6486	136	11	s	s	NOUN
ejpam-6486	136	12	,	,	PUNCT
ejpam-6486	136	13	t	t	PROPN
ejpam-6486	136	14	∈	∈	PROPN
ejpam-6486	136	15	e	e	NOUN
ejpam-6486	136	16	such	such	ADJ
ejpam-6486	136	17	that	that	SCONJ
ejpam-6486	136	18	[	[	X
ejpam-6486	136	19	s	s	X
ejpam-6486	136	20	,	,	PUNCT
ejpam-6486	136	21	t	t	PROPN
ejpam-6486	136	22	]	]	X
ejpam-6486	136	23	∈	∈	PROPN
ejpam-6486	136	24	r.	r.	PROPN
ejpam-6486	136	25	in	in	ADP
ejpam-6486	136	26	this	this	DET
ejpam-6486	136	27	case	case	NOUN
ejpam-6486	136	28	,	,	PUNCT
ejpam-6486	136	29	(	(	PUNCT
ejpam-6486	136	30	h2	h2	NOUN
ejpam-6486	136	31	)	)	PUNCT
ejpam-6486	136	32	follows	follow	VERB
ejpam-6486	136	33	directly	directly	ADV
ejpam-6486	136	34	from	from	ADP
ejpam-6486	136	35	(	(	PUNCT
ejpam-6486	136	36	h1	h1	PROPN
ejpam-6486	136	37	)	)	PUNCT
ejpam-6486	136	38	.	.	PUNCT
ejpam-6486	137	1	if	if	SCONJ
ejpam-6486	137	2	,	,	PUNCT
ejpam-6486	137	3	however	however	ADV
ejpam-6486	137	4	,	,	PUNCT
ejpam-6486	137	5	(	(	PUNCT
ejpam-6486	137	6	t	t	PROPN
ejpam-6486	137	7	,	,	PUNCT
ejpam-6486	137	8	s	s	PART
ejpam-6486	137	9	)	)	PUNCT
ejpam-6486	137	10	∈	∈	PROPN
ejpam-6486	137	11	r	r	NOUN
ejpam-6486	137	12	,	,	PUNCT
ejpam-6486	137	13	then	then	ADV
ejpam-6486	137	14	by	by	ADP
ejpam-6486	137	15	using	use	VERB
ejpam-6486	137	16	the	the	DET
ejpam-6486	137	17	symmetry	symmetry	NOUN
ejpam-6486	137	18	of	of	ADP
ejpam-6486	137	19	the	the	DET
ejpam-6486	137	20	fuzzy	fuzzy	ADJ
ejpam-6486	137	21	metric	metric	ADJ
ejpam-6486	137	22	p	p	NOUN
ejpam-6486	137	23	and	and	CCONJ
ejpam-6486	137	24	the	the	DET
ejpam-6486	137	25	assumption	assumption	NOUN
ejpam-6486	137	26	(	(	PUNCT
ejpam-6486	137	27	h1	h1	PROPN
ejpam-6486	137	28	)	)	PUNCT
ejpam-6486	137	29	,	,	PUNCT
ejpam-6486	137	30	we	we	PRON
ejpam-6486	137	31	deduce	deduce	VERB
ejpam-6486	137	32	the	the	DET
ejpam-6486	137	33	following	following	NOUN
ejpam-6486	137	34	:	:	PUNCT
ejpam-6486	137	35	ξ(p(ks	ξ(p(ks	NUM
ejpam-6486	137	36	,	,	PUNCT
ejpam-6486	137	37	kt,ℑ),p(t	kt,ℑ),p(t	PROPN
ejpam-6486	137	38	,	,	PUNCT
ejpam-6486	137	39	s,ℑ	s,ℑ	PROPN
ejpam-6486	137	40	)	)	PUNCT
ejpam-6486	137	41	)	)	PUNCT
ejpam-6486	138	1	=	=	PUNCT
ejpam-6486	138	2	ξ(p(kt	ξ(p(kt	NOUN
ejpam-6486	138	3	,	,	PUNCT
ejpam-6486	138	4	ks,ℑ),p(s	ks,ℑ),p(s	PROPN
ejpam-6486	138	5	,	,	PUNCT
ejpam-6486	138	6	t,ℑ	t,ℑ	PROPN
ejpam-6486	138	7	)	)	PUNCT
ejpam-6486	138	8	)	)	PUNCT
ejpam-6486	138	9	≥	≥	NOUN
ejpam-6486	138	10	0	0	NUM
ejpam-6486	138	11	.	.	PUNCT
ejpam-6486	139	1	thus	thus	ADV
ejpam-6486	139	2	,	,	PUNCT
ejpam-6486	139	3	we	we	PRON
ejpam-6486	139	4	have	have	AUX
ejpam-6486	139	5	shown	show	VERB
ejpam-6486	139	6	that	that	SCONJ
ejpam-6486	139	7	(	(	PUNCT
ejpam-6486	139	8	h1	h1	PROPN
ejpam-6486	139	9	)	)	PUNCT
ejpam-6486	139	10	⇒	⇒	NOUN
ejpam-6486	139	11	(	(	PUNCT
ejpam-6486	139	12	h2	h2	PROPN
ejpam-6486	139	13	)	)	PUNCT
ejpam-6486	139	14	.	.	PUNCT
ejpam-6486	140	1	theorem	theorem	NOUN
ejpam-6486	140	2	1	1	NUM
ejpam-6486	140	3	.	.	PUNCT
ejpam-6486	141	1	let	let	AUX
ejpam-6486	141	2	(	(	PUNCT
ejpam-6486	141	3	e	e	NOUN
ejpam-6486	141	4	,	,	PUNCT
ejpam-6486	141	5	p,⋏	p,⋏	NOUN
ejpam-6486	141	6	)	)	PUNCT
ejpam-6486	141	7	be	be	VERB
ejpam-6486	141	8	a	a	DET
ejpam-6486	141	9	fuzzy	fuzzy	ADJ
ejpam-6486	141	10	metric	metric	ADJ
ejpam-6486	141	11	space	space	NOUN
ejpam-6486	141	12	equipped	equip	VERB
ejpam-6486	141	13	with	with	ADP
ejpam-6486	141	14	a	a	DET
ejpam-6486	141	15	binary	binary	ADJ
ejpam-6486	141	16	relation	relation	NOUN
ejpam-6486	141	17	r	r	NOUN
ejpam-6486	141	18	,	,	PUNCT
ejpam-6486	141	19	and	and	CCONJ
ejpam-6486	141	20	let	let	VERB
ejpam-6486	141	21	k	k	NOUN
ejpam-6486	141	22	:	:	PUNCT
ejpam-6486	141	23	e	e	X
ejpam-6486	141	24	→	→	PUNCT
ejpam-6486	141	25	e	e	AUX
ejpam-6486	141	26	be	be	AUX
ejpam-6486	141	27	a	a	DET
ejpam-6486	141	28	self	self	NOUN
ejpam-6486	141	29	-	-	PUNCT
ejpam-6486	141	30	mapping	mapping	NOUN
ejpam-6486	141	31	.	.	PUNCT
ejpam-6486	142	1	suppose	suppose	VERB
ejpam-6486	142	2	the	the	DET
ejpam-6486	142	3	following	follow	VERB
ejpam-6486	142	4	conditions	condition	NOUN
ejpam-6486	142	5	hold	hold	VERB
ejpam-6486	142	6	:	:	PUNCT
ejpam-6486	142	7	(	(	PUNCT
ejpam-6486	142	8	i	i	NOUN
ejpam-6486	142	9	)	)	PUNCT
ejpam-6486	142	10	there	there	PRON
ejpam-6486	142	11	exists	exist	VERB
ejpam-6486	142	12	a	a	DET
ejpam-6486	142	13	subset	subset	NOUN
ejpam-6486	142	14	u	u	NOUN
ejpam-6486	142	15	⊆	⊆	NUM
ejpam-6486	142	16	e	e	NOUN
ejpam-6486	142	17	such	such	ADJ
ejpam-6486	143	1	that	that	SCONJ
ejpam-6486	143	2	k(e	k(e	PROPN
ejpam-6486	143	3	)	)	PUNCT
ejpam-6486	143	4	⊆	⊆	NUM
ejpam-6486	143	5	u	u	NOUN
ejpam-6486	143	6	⊆	⊆	NUM
ejpam-6486	143	7	e	e	NOUN
ejpam-6486	143	8	,	,	PUNCT
ejpam-6486	143	9	and	and	CCONJ
ejpam-6486	143	10	(	(	PUNCT
ejpam-6486	143	11	u	u	NOUN
ejpam-6486	143	12	,	,	PUNCT
ejpam-6486	143	13	p,⋏	p,⋏	NOUN
ejpam-6486	143	14	)	)	PUNCT
ejpam-6486	143	15	is	be	AUX
ejpam-6486	143	16	r	r	NOUN
ejpam-6486	143	17	-	-	PUNCT
ejpam-6486	143	18	complete	complete	ADJ
ejpam-6486	143	19	.	.	PUNCT
ejpam-6486	144	1	(	(	PUNCT
ejpam-6486	144	2	ii	ii	NOUN
ejpam-6486	144	3	)	)	PUNCT
ejpam-6486	144	4	e(k	e(k	NOUN
ejpam-6486	144	5	,	,	PUNCT
ejpam-6486	144	6	r	r	NOUN
ejpam-6486	144	7	)	)	PUNCT
ejpam-6486	144	8	̸=	̸=	PROPN
ejpam-6486	144	9	∅.	∅.	ADP
ejpam-6486	144	10	(	(	PUNCT
ejpam-6486	144	11	iii	iii	NOUN
ejpam-6486	144	12	)	)	PUNCT
ejpam-6486	144	13	r	r	NOUN
ejpam-6486	144	14	is	be	AUX
ejpam-6486	144	15	k	k	NOUN
ejpam-6486	144	16	-	-	ADJ
ejpam-6486	144	17	closed	closed	ADJ
ejpam-6486	144	18	and	and	CCONJ
ejpam-6486	144	19	transitive	transitive	ADJ
ejpam-6486	144	20	.	.	PUNCT
ejpam-6486	145	1	(	(	PUNCT
ejpam-6486	145	2	iv	iv	X
ejpam-6486	145	3	)	)	PUNCT
ejpam-6486	145	4	for	for	ADP
ejpam-6486	145	5	every	every	DET
ejpam-6486	145	6	pair	pair	NOUN
ejpam-6486	145	7	of	of	ADP
ejpam-6486	145	8	elements	element	NOUN
ejpam-6486	145	9	s	s	PART
ejpam-6486	145	10	,	,	PUNCT
ejpam-6486	145	11	t	t	PROPN
ejpam-6486	145	12	∈	∈	PROPN
ejpam-6486	145	13	e	e	X
ejpam-6486	145	14	with	with	ADP
ejpam-6486	145	15	(	(	PUNCT
ejpam-6486	145	16	s	s	PROPN
ejpam-6486	145	17	,	,	PUNCT
ejpam-6486	145	18	t	t	NOUN
ejpam-6486	145	19	)	)	PUNCT
ejpam-6486	145	20	∈	∈	PROPN
ejpam-6486	145	21	r	r	NOUN
ejpam-6486	145	22	and	and	CCONJ
ejpam-6486	145	23	every	every	DET
ejpam-6486	145	24	positive	positive	ADJ
ejpam-6486	145	25	real	real	ADJ
ejpam-6486	145	26	number	number	NOUN
ejpam-6486	145	27	ℑ	ℑ	PROPN
ejpam-6486	145	28	,	,	PUNCT
ejpam-6486	145	29	the	the	DET
ejpam-6486	145	30	following	follow	VERB
ejpam-6486	145	31	inequality	inequality	NOUN
ejpam-6486	145	32	holds	hold	VERB
ejpam-6486	145	33	with	with	ADP
ejpam-6486	145	34	respect	respect	NOUN
ejpam-6486	145	35	to	to	ADP
ejpam-6486	145	36	the	the	DET
ejpam-6486	145	37	function	function	NOUN
ejpam-6486	145	38	s	s	VERB
ejpam-6486	145	39	in	in	ADP
ejpam-6486	145	40	the	the	DET
ejpam-6486	145	41	family	family	NOUN
ejpam-6486	145	42	fz	fz	PROPN
ejpam-6486	145	43	:	:	PUNCT
ejpam-6486	145	44	s	s	X
ejpam-6486	145	45	(	(	PUNCT
ejpam-6486	145	46	p(ks	p(ks	PROPN
ejpam-6486	145	47	,	,	PUNCT
ejpam-6486	145	48	kt,ℑ),p(s	kt,ℑ),p(s	PROPN
ejpam-6486	145	49	,	,	PUNCT
ejpam-6486	145	50	t,ℑ	t,ℑ	PROPN
ejpam-6486	145	51	)	)	PUNCT
ejpam-6486	145	52	)	)	PUNCT
ejpam-6486	145	53	≥	≥	NOUN
ejpam-6486	145	54	0	0	NUM
ejpam-6486	145	55	.	.	PUNCT
ejpam-6486	146	1	(	(	PUNCT
ejpam-6486	146	2	v	v	NOUN
ejpam-6486	146	3	)	)	PUNCT
ejpam-6486	146	4	either	either	CCONJ
ejpam-6486	146	5	r|u	r|u	PROPN
ejpam-6486	146	6	is	be	AUX
ejpam-6486	146	7	p	p	ADJ
ejpam-6486	146	8	-	-	PUNCT
ejpam-6486	146	9	self	self	NOUN
ejpam-6486	146	10	-	-	PUNCT
ejpam-6486	146	11	closed	close	VERB
ejpam-6486	146	12	,	,	PUNCT
ejpam-6486	146	13	or	or	CCONJ
ejpam-6486	146	14	k	k	PROPN
ejpam-6486	146	15	is	be	AUX
ejpam-6486	146	16	r	r	NOUN
ejpam-6486	146	17	-	-	PUNCT
ejpam-6486	146	18	continuous	continuous	ADJ
ejpam-6486	146	19	.	.	PUNCT
ejpam-6486	147	1	then	then	ADV
ejpam-6486	147	2	,	,	PUNCT
ejpam-6486	147	3	k	k	PROPN
ejpam-6486	147	4	has	have	VERB
ejpam-6486	147	5	a	a	DET
ejpam-6486	147	6	fixed	fix	VERB
ejpam-6486	147	7	point	point	NOUN
ejpam-6486	147	8	.	.	PUNCT
ejpam-6486	148	1	a.	a.	NOUN
ejpam-6486	148	2	moussaoui	moussaoui	NOUN
ejpam-6486	148	3	,	,	PUNCT
ejpam-6486	148	4	m.	m.	NOUN
ejpam-6486	148	5	pantović	pantović	NOUN
ejpam-6486	148	6	,	,	PUNCT
ejpam-6486	148	7	s.	s.	PROPN
ejpam-6486	148	8	radenović	radenović	PROPN
ejpam-6486	148	9	/	/	SYM
ejpam-6486	148	10	eur	eur	PROPN
ejpam-6486	148	11	.	.	PUNCT
ejpam-6486	149	1	j.	j.	PROPN
ejpam-6486	149	2	pure	pure	PROPN
ejpam-6486	149	3	appl	appl	PROPN
ejpam-6486	149	4	.	.	PROPN
ejpam-6486	149	5	math	math	PROPN
ejpam-6486	149	6	,	,	PUNCT
ejpam-6486	149	7	18	18	NUM
ejpam-6486	149	8	(	(	PUNCT
ejpam-6486	149	9	3	3	NUM
ejpam-6486	149	10	)	)	PUNCT
ejpam-6486	149	11	(	(	PUNCT
ejpam-6486	149	12	2025	2025	NUM
ejpam-6486	149	13	)	)	PUNCT
ejpam-6486	149	14	,	,	PUNCT
ejpam-6486	149	15	6486	6486	NUM
ejpam-6486	149	16	8	8	NUM
ejpam-6486	149	17	of	of	ADP
ejpam-6486	149	18	18	18	NUM
ejpam-6486	149	19	proof	proof	NOUN
ejpam-6486	149	20	.	.	PUNCT
ejpam-6486	150	1	the	the	DET
ejpam-6486	150	2	implication	implication	NOUN
ejpam-6486	150	3	from	from	ADP
ejpam-6486	150	4	(	(	PUNCT
ejpam-6486	150	5	h2	h2	NOUN
ejpam-6486	150	6	)	)	PUNCT
ejpam-6486	150	7	to	to	ADP
ejpam-6486	150	8	(	(	PUNCT
ejpam-6486	150	9	h1	h1	PROPN
ejpam-6486	150	10	)	)	PUNCT
ejpam-6486	150	11	is	be	AUX
ejpam-6486	150	12	straightforward	straightforward	ADJ
ejpam-6486	150	13	.	.	PUNCT
ejpam-6486	151	1	on	on	ADP
ejpam-6486	151	2	the	the	DET
ejpam-6486	151	3	other	other	ADJ
ejpam-6486	151	4	hand	hand	NOUN
ejpam-6486	151	5	,	,	PUNCT
ejpam-6486	151	6	assuming	assume	VERB
ejpam-6486	151	7	that	that	SCONJ
ejpam-6486	151	8	(	(	PUNCT
ejpam-6486	151	9	h1	h1	NOUN
ejpam-6486	151	10	)	)	PUNCT
ejpam-6486	151	11	holds	hold	VERB
ejpam-6486	151	12	,	,	PUNCT
ejpam-6486	151	13	let	let	VERB
ejpam-6486	151	14	s	s	NOUN
ejpam-6486	151	15	,	,	PUNCT
ejpam-6486	151	16	t	t	PROPN
ejpam-6486	151	17	∈	∈	PROPN
ejpam-6486	151	18	e	e	X
ejpam-6486	151	19	with	with	ADP
ejpam-6486	151	20	[	[	X
ejpam-6486	151	21	s	s	X
ejpam-6486	151	22	,	,	PUNCT
ejpam-6486	151	23	t	t	PROPN
ejpam-6486	151	24	]	]	X
ejpam-6486	151	25	∈	∈	PROPN
ejpam-6486	151	26	r.	r.	PROPN
ejpam-6486	151	27	in	in	ADP
ejpam-6486	151	28	this	this	DET
ejpam-6486	151	29	scenario	scenario	NOUN
ejpam-6486	151	30	,	,	PUNCT
ejpam-6486	151	31	(	(	PUNCT
ejpam-6486	151	32	h2	h2	NOUN
ejpam-6486	151	33	)	)	PUNCT
ejpam-6486	151	34	follows	follow	VERB
ejpam-6486	151	35	immediately	immediately	ADV
ejpam-6486	151	36	from	from	ADP
ejpam-6486	151	37	(	(	PUNCT
ejpam-6486	151	38	h1	h1	PROPN
ejpam-6486	151	39	)	)	PUNCT
ejpam-6486	151	40	.	.	PUNCT
ejpam-6486	152	1	however	however	ADV
ejpam-6486	152	2	,	,	PUNCT
ejpam-6486	152	3	if	if	SCONJ
ejpam-6486	152	4	(	(	PUNCT
ejpam-6486	152	5	t	t	PROPN
ejpam-6486	152	6	,	,	PUNCT
ejpam-6486	152	7	s	s	PART
ejpam-6486	152	8	)	)	PUNCT
ejpam-6486	152	9	∈	∈	PROPN
ejpam-6486	152	10	r	r	NOUN
ejpam-6486	152	11	,	,	PUNCT
ejpam-6486	152	12	applying	apply	VERB
ejpam-6486	152	13	the	the	DET
ejpam-6486	152	14	fuzzy	fuzzy	ADJ
ejpam-6486	152	15	metric	metric	ADJ
ejpam-6486	152	16	symmetry	symmetry	NOUN
ejpam-6486	152	17	p	p	PROPN
ejpam-6486	152	18	and	and	CCONJ
ejpam-6486	152	19	(	(	PUNCT
ejpam-6486	152	20	h1	h1	PROPN
ejpam-6486	152	21	)	)	PUNCT
ejpam-6486	152	22	,	,	PUNCT
ejpam-6486	152	23	we	we	PRON
ejpam-6486	152	24	conclude	conclude	VERB
ejpam-6486	152	25	:	:	PUNCT
ejpam-6486	152	26	s	s	X
ejpam-6486	152	27	(	(	PUNCT
ejpam-6486	152	28	p(kt	p(kt	PROPN
ejpam-6486	152	29	,	,	PUNCT
ejpam-6486	152	30	ks,ℑ),p(t	ks,ℑ),p(t	PROPN
ejpam-6486	152	31	,	,	PUNCT
ejpam-6486	152	32	s,ℑ	s,ℑ	PROPN
ejpam-6486	152	33	)	)	PUNCT
ejpam-6486	152	34	)	)	PUNCT
ejpam-6486	153	1	=	=	SYM
ejpam-6486	153	2	s	s	X
ejpam-6486	153	3	(	(	PUNCT
ejpam-6486	153	4	p(ks	p(ks	PROPN
ejpam-6486	153	5	,	,	PUNCT
ejpam-6486	153	6	kt,ℑ),p(s	kt,ℑ),p(s	PROPN
ejpam-6486	153	7	,	,	PUNCT
ejpam-6486	153	8	t,ℑ	t,ℑ	PROPN
ejpam-6486	153	9	)	)	PUNCT
ejpam-6486	153	10	)	)	PUNCT
ejpam-6486	153	11	≥	≥	NOUN
ejpam-6486	153	12	0	0	NUM
ejpam-6486	153	13	,	,	PUNCT
ejpam-6486	153	14	where	where	SCONJ
ejpam-6486	153	15	p(s	p(s	NOUN
ejpam-6486	153	16	,	,	PUNCT
ejpam-6486	153	17	t,ℑ	t,ℑ	PROPN
ejpam-6486	153	18	)	)	PUNCT
ejpam-6486	153	19	=	=	SYM
ejpam-6486	153	20	p(t	p(t	NOUN
ejpam-6486	153	21	,	,	PUNCT
ejpam-6486	153	22	s,ℑ	s,ℑ	PROPN
ejpam-6486	153	23	)	)	PUNCT
ejpam-6486	153	24	.	.	PUNCT
ejpam-6486	154	1	this	this	PRON
ejpam-6486	154	2	shows	show	VERB
ejpam-6486	154	3	that	that	SCONJ
ejpam-6486	154	4	(	(	PUNCT
ejpam-6486	154	5	h1	h1	NOUN
ejpam-6486	154	6	)	)	PUNCT
ejpam-6486	154	7	⇒	⇒	NOUN
ejpam-6486	154	8	(	(	PUNCT
ejpam-6486	154	9	h2	h2	PROPN
ejpam-6486	154	10	)	)	PUNCT
ejpam-6486	154	11	.	.	PUNCT
ejpam-6486	155	1	since	since	SCONJ
ejpam-6486	155	2	e(k	e(k	NOUN
ejpam-6486	155	3	,	,	PUNCT
ejpam-6486	155	4	r	r	NOUN
ejpam-6486	155	5	)	)	PUNCT
ejpam-6486	155	6	̸=	̸=	NOUN
ejpam-6486	155	7	∅	∅	NOUN
ejpam-6486	155	8	,	,	PUNCT
ejpam-6486	155	9	let	let	VERB
ejpam-6486	155	10	s0	s0	PROPN
ejpam-6486	155	11	be	be	AUX
ejpam-6486	155	12	an	an	DET
ejpam-6486	155	13	arbitrary	arbitrary	ADJ
ejpam-6486	155	14	element	element	NOUN
ejpam-6486	155	15	such	such	ADJ
ejpam-6486	155	16	that	that	SCONJ
ejpam-6486	155	17	s0	s0	PROPN
ejpam-6486	155	18	∈	∈	PROPN
ejpam-6486	155	19	e(k	e(k	NOUN
ejpam-6486	155	20	,	,	PUNCT
ejpam-6486	155	21	r	r	NOUN
ejpam-6486	155	22	)	)	PUNCT
ejpam-6486	155	23	.	.	PUNCT
ejpam-6486	156	1	define	define	VERB
ejpam-6486	156	2	the	the	DET
ejpam-6486	156	3	sequence	sequence	NOUN
ejpam-6486	156	4	{	{	PUNCT
ejpam-6486	156	5	sq	sq	VERB
ejpam-6486	156	6	}	}	PUNCT
ejpam-6486	156	7	by	by	ADP
ejpam-6486	156	8	sq+1	sq+1	PROPN
ejpam-6486	156	9	=	=	NOUN
ejpam-6486	156	10	ksq	ksq	NOUN
ejpam-6486	156	11	for	for	ADP
ejpam-6486	156	12	all	all	DET
ejpam-6486	156	13	q	q	PROPN
ejpam-6486	156	14	∈	∈	PROPN
ejpam-6486	156	15	n.	n.	NOUN
ejpam-6486	156	16	since	since	SCONJ
ejpam-6486	156	17	r	r	NOUN
ejpam-6486	156	18	is	be	AUX
ejpam-6486	156	19	k	k	NOUN
ejpam-6486	156	20	-	-	ADJ
ejpam-6486	156	21	closed	closed	ADJ
ejpam-6486	156	22	and	and	CCONJ
ejpam-6486	156	23	(	(	PUNCT
ejpam-6486	156	24	s0,ks0	s0,ks0	NOUN
ejpam-6486	156	25	)	)	PUNCT
ejpam-6486	156	26	∈	∈	PROPN
ejpam-6486	156	27	r	r	NOUN
ejpam-6486	156	28	,	,	PUNCT
ejpam-6486	156	29	we	we	PRON
ejpam-6486	156	30	have	have	VERB
ejpam-6486	156	31	the	the	DET
ejpam-6486	156	32	following	follow	VERB
ejpam-6486	156	33	relations	relation	NOUN
ejpam-6486	156	34	:	:	PUNCT
ejpam-6486	156	35	(	(	PUNCT
ejpam-6486	156	36	s0,ks0	s0,ks0	NOUN
ejpam-6486	156	37	)	)	PUNCT
ejpam-6486	156	38	,	,	PUNCT
ejpam-6486	156	39	(	(	PUNCT
ejpam-6486	156	40	ks0,k2s0	ks0,k2s0	PROPN
ejpam-6486	156	41	)	)	PUNCT
ejpam-6486	156	42	,	,	PUNCT
ejpam-6486	156	43	(	(	PUNCT
ejpam-6486	156	44	k2s0,k3s0	k2s0,k3s0	PROPN
ejpam-6486	156	45	)	)	PUNCT
ejpam-6486	156	46	,	,	PUNCT
ejpam-6486	156	47	.	.	PUNCT
ejpam-6486	156	48	.	.	PUNCT
ejpam-6486	157	1	.	.	PUNCT
ejpam-6486	158	1	,	,	PUNCT
ejpam-6486	158	2	(	(	PUNCT
ejpam-6486	158	3	kqs0,kq+1s0	kqs0,kq+1s0	X
ejpam-6486	158	4	)	)	PUNCT
ejpam-6486	158	5	∈	∈	PROPN
ejpam-6486	158	6	r.	r.	PROPN
ejpam-6486	158	7	thus	thus	ADV
ejpam-6486	158	8	,	,	PUNCT
ejpam-6486	158	9	the	the	DET
ejpam-6486	158	10	sequence	sequence	NOUN
ejpam-6486	158	11	{	{	PUNCT
ejpam-6486	158	12	sq	sq	ADJ
ejpam-6486	158	13	}	}	PUNCT
ejpam-6486	158	14	preserves	preserve	VERB
ejpam-6486	158	15	the	the	DET
ejpam-6486	158	16	relation	relation	NOUN
ejpam-6486	158	17	r	r	NOUN
ejpam-6486	158	18	,	,	PUNCT
ejpam-6486	158	19	as	as	SCONJ
ejpam-6486	158	20	shown	show	VERB
ejpam-6486	158	21	by	by	ADP
ejpam-6486	158	22	:	:	PUNCT
ejpam-6486	158	23	(	(	PUNCT
ejpam-6486	158	24	sq	sq	ADJ
ejpam-6486	158	25	,	,	PUNCT
ejpam-6486	158	26	sq+1	sq+1	ADJ
ejpam-6486	158	27	)	)	PUNCT
ejpam-6486	158	28	∈	∈	PROPN
ejpam-6486	158	29	r.	r.	NOUN
ejpam-6486	158	30	given	give	VERB
ejpam-6486	158	31	that	that	SCONJ
ejpam-6486	158	32	k	k	PROPN
ejpam-6486	158	33	satisfies	satisfy	VERB
ejpam-6486	158	34	the	the	DET
ejpam-6486	158	35	contraction	contraction	NOUN
ejpam-6486	158	36	inequality	inequality	NOUN
ejpam-6486	158	37	(	(	PUNCT
ejpam-6486	158	38	1	1	NUM
ejpam-6486	158	39	)	)	PUNCT
ejpam-6486	158	40	with	with	ADP
ejpam-6486	158	41	respect	respect	NOUN
ejpam-6486	158	42	to	to	ADP
ejpam-6486	158	43	s	s	PROPN
ejpam-6486	158	44	∈	∈	PROPN
ejpam-6486	158	45	fz	fz	NOUN
ejpam-6486	158	46	,	,	PUNCT
ejpam-6486	158	47	we	we	PRON
ejpam-6486	158	48	have	have	VERB
ejpam-6486	158	49	:	:	PUNCT
ejpam-6486	158	50	s	s	X
ejpam-6486	158	51	(	(	PUNCT
ejpam-6486	158	52	p(ksq−1,ksq,ℑ),p(sq−1	p(ksq−1,ksq,ℑ),p(sq−1	NOUN
ejpam-6486	158	53	,	,	PUNCT
ejpam-6486	158	54	sq,ℑ	sq,ℑ	PROPN
ejpam-6486	158	55	)	)	PUNCT
ejpam-6486	158	56	)	)	PUNCT
ejpam-6486	158	57	≥	≥	NOUN
ejpam-6486	158	58	0	0	NUM
ejpam-6486	158	59	.	.	PUNCT
ejpam-6486	159	1	thus	thus	ADV
ejpam-6486	159	2	,	,	PUNCT
ejpam-6486	159	3	we	we	PRON
ejpam-6486	159	4	deduce	deduce	VERB
ejpam-6486	159	5	the	the	DET
ejpam-6486	159	6	following	following	NOUN
ejpam-6486	159	7	:	:	PUNCT
ejpam-6486	159	8	0	0	NUM
ejpam-6486	159	9	≤	≤	NUM
ejpam-6486	159	10	s	s	X
ejpam-6486	159	11	(	(	PUNCT
ejpam-6486	159	12	p(ksq−1,ksq,ℑ),p(sq−1	p(ksq−1,ksq,ℑ),p(sq−1	NOUN
ejpam-6486	159	13	,	,	PUNCT
ejpam-6486	159	14	sq,ℑ	sq,ℑ	PROPN
ejpam-6486	159	15	)	)	PUNCT
ejpam-6486	159	16	)	)	PUNCT
ejpam-6486	160	1	=	=	SYM
ejpam-6486	160	2	s	s	X
ejpam-6486	160	3	(	(	PUNCT
ejpam-6486	160	4	p(sq	p(sq	PROPN
ejpam-6486	160	5	,	,	PUNCT
ejpam-6486	160	6	sq+1,ℑ),p(sq−1	sq+1,ℑ),p(sq−1	NOUN
ejpam-6486	160	7	,	,	PUNCT
ejpam-6486	160	8	sq,ℑ	sq,ℑ	PROPN
ejpam-6486	160	9	)	)	PUNCT
ejpam-6486	160	10	)	)	PUNCT
ejpam-6486	160	11	<	<	X
ejpam-6486	160	12	1	1	NUM
ejpam-6486	160	13	p(sq−1	p(sq−1	NOUN
ejpam-6486	160	14	,	,	PUNCT
ejpam-6486	160	15	sq,ℑ	sq,ℑ	PROPN
ejpam-6486	160	16	)	)	PUNCT
ejpam-6486	160	17	−	−	PROPN
ejpam-6486	160	18	1	1	NUM
ejpam-6486	160	19	p(sq	p(sq	NOUN
ejpam-6486	160	20	,	,	PUNCT
ejpam-6486	160	21	sq+1,ℑ	sq+1,ℑ	NOUN
ejpam-6486	160	22	)	)	PUNCT
ejpam-6486	160	23	.	.	PUNCT
ejpam-6486	161	1	this	this	PRON
ejpam-6486	161	2	implies	imply	VERB
ejpam-6486	161	3	thatp(sq−1	thatp(sq−1	NOUN
ejpam-6486	161	4	,	,	PUNCT
ejpam-6486	161	5	sq,ℑ	sq,ℑ	PROPN
ejpam-6486	161	6	)	)	PUNCT
ejpam-6486	161	7	<	<	X
ejpam-6486	161	8	p(sq	p(sq	NOUN
ejpam-6486	161	9	,	,	PUNCT
ejpam-6486	161	10	sq+1,ℑ	sq+1,ℑ	NOUN
ejpam-6486	161	11	)	)	PUNCT
ejpam-6486	161	12	,	,	PUNCT
ejpam-6486	161	13	which	which	PRON
ejpam-6486	161	14	means	mean	VERB
ejpam-6486	161	15	that	that	SCONJ
ejpam-6486	161	16	the	the	DET
ejpam-6486	161	17	sequence	sequence	NOUN
ejpam-6486	161	18	{	{	PUNCT
ejpam-6486	161	19	p(sq−1	p(sq−1	X
ejpam-6486	161	20	,	,	PUNCT
ejpam-6486	161	21	sq,ℑ	sq,ℑ	PROPN
ejpam-6486	161	22	)	)	PUNCT
ejpam-6486	161	23	}	}	PUNCT
ejpam-6486	161	24	is	be	AUX
ejpam-6486	161	25	non	non	ADJ
ejpam-6486	161	26	-	-	ADJ
ejpam-6486	161	27	decreasing	decrease	VERB
ejpam-6486	161	28	and	and	CCONJ
ejpam-6486	161	29	bounded	bound	VERB
ejpam-6486	161	30	above	above	ADV
ejpam-6486	161	31	by	by	ADP
ejpam-6486	161	32	1	1	NUM
ejpam-6486	161	33	.	.	PUNCT
ejpam-6486	162	1	hence	hence	ADV
ejpam-6486	162	2	,	,	PUNCT
ejpam-6486	162	3	there	there	PRON
ejpam-6486	162	4	exists	exist	VERB
ejpam-6486	162	5	a	a	DET
ejpam-6486	162	6	limit	limit	NOUN
ejpam-6486	162	7	m(ℑ	m(ℑ	NOUN
ejpam-6486	162	8	)	)	PUNCT
ejpam-6486	162	9	≤	≤	NUM
ejpam-6486	162	10	1	1	NUM
ejpam-6486	162	11	such	such	ADJ
ejpam-6486	162	12	that	that	PRON
ejpam-6486	162	13	:	:	PUNCT
ejpam-6486	162	14	lim	lim	PROPN
ejpam-6486	162	15	q→+∞	q→+∞	PROPN
ejpam-6486	162	16	p(sq	p(sq	PROPN
ejpam-6486	162	17	,	,	PUNCT
ejpam-6486	162	18	sq−1,ℑ	sq−1,ℑ	NOUN
ejpam-6486	162	19	)	)	PUNCT
ejpam-6486	162	20	=	=	SYM
ejpam-6486	162	21	m(ℑ	m(ℑ	NOUN
ejpam-6486	162	22	)	)	PUNCT
ejpam-6486	162	23	for	for	ADP
ejpam-6486	162	24	all	all	DET
ejpam-6486	162	25	ℑ	ℑ	NOUN
ejpam-6486	162	26	>	>	X
ejpam-6486	162	27	0	0	X
ejpam-6486	162	28	.	.	PUNCT
ejpam-6486	162	29	to	to	PART
ejpam-6486	162	30	prove	prove	VERB
ejpam-6486	162	31	that	that	PRON
ejpam-6486	162	32	m(ℑ	m(ℑ	NOUN
ejpam-6486	162	33	)	)	PUNCT
ejpam-6486	162	34	=	=	SYM
ejpam-6486	162	35	1	1	X
ejpam-6486	162	36	,	,	PUNCT
ejpam-6486	162	37	assume	assume	VERB
ejpam-6486	162	38	the	the	DET
ejpam-6486	162	39	contrary	contrary	NOUN
ejpam-6486	162	40	,	,	PUNCT
ejpam-6486	162	41	that	that	ADV
ejpam-6486	162	42	is	is	ADV
ejpam-6486	162	43	,	,	PUNCT
ejpam-6486	162	44	m(ℑ0	m(ℑ0	X
ejpam-6486	162	45	)	)	PUNCT
ejpam-6486	162	46	<	<	X
ejpam-6486	162	47	1	1	NUM
ejpam-6486	162	48	for	for	ADP
ejpam-6486	162	49	some	some	DET
ejpam-6486	162	50	ℑ0	ℑ0	NOUN
ejpam-6486	162	51	>	>	X
ejpam-6486	162	52	0	0	NUM
ejpam-6486	162	53	.	.	PUNCT
ejpam-6486	162	54	applying	apply	VERB
ejpam-6486	162	55	the	the	DET
ejpam-6486	162	56	contraction	contraction	NOUN
ejpam-6486	162	57	condition	condition	NOUN
ejpam-6486	162	58	and	and	CCONJ
ejpam-6486	162	59	(	(	PUNCT
ejpam-6486	162	60	s1	s1	PROPN
ejpam-6486	162	61	)	)	PUNCT
ejpam-6486	162	62	,	,	PUNCT
ejpam-6486	162	63	we	we	PRON
ejpam-6486	162	64	obtain	obtain	VERB
ejpam-6486	162	65	0	0	NUM
ejpam-6486	162	66	≤	≤	NOUN
ejpam-6486	162	67	lim	lim	PROPN
ejpam-6486	162	68	sup	sup	PROPN
ejpam-6486	162	69	q→+∞	q→+∞	PROPN
ejpam-6486	162	70	s	s	X
ejpam-6486	162	71	(	(	PUNCT
ejpam-6486	162	72	p(ksq−1,ksq,ℑ0	p(ksq−1,ksq,ℑ0	NOUN
ejpam-6486	162	73	)	)	PUNCT
ejpam-6486	162	74	,	,	PUNCT
ejpam-6486	162	75	p(sq−1	p(sq−1	X
ejpam-6486	162	76	,	,	PUNCT
ejpam-6486	162	77	sq,ℑ0	sq,ℑ0	PROPN
ejpam-6486	162	78	)	)	PUNCT
ejpam-6486	162	79	)	)	PUNCT
ejpam-6486	163	1	<	<	X
ejpam-6486	164	1	0	0	X
ejpam-6486	164	2	.	.	PUNCT
ejpam-6486	165	1	we	we	PRON
ejpam-6486	165	2	reach	reach	VERB
ejpam-6486	165	3	a	a	DET
ejpam-6486	165	4	contradiction	contradiction	NOUN
ejpam-6486	165	5	,	,	PUNCT
ejpam-6486	165	6	which	which	PRON
ejpam-6486	165	7	implies	imply	VERB
ejpam-6486	165	8	that	that	PRON
ejpam-6486	165	9	m(ℑ	m(ℑ	NOUN
ejpam-6486	165	10	)	)	PUNCT
ejpam-6486	165	11	=	=	SYM
ejpam-6486	166	1	1	1	X
ejpam-6486	166	2	.	.	PUNCT
ejpam-6486	166	3	therefore	therefore	ADV
ejpam-6486	166	4	,	,	PUNCT
ejpam-6486	166	5	we	we	PRON
ejpam-6486	166	6	have	have	VERB
ejpam-6486	166	7	:	:	PUNCT
ejpam-6486	166	8	lim	lim	PROPN
ejpam-6486	166	9	q→+∞	q→+∞	PROPN
ejpam-6486	166	10	p(sq	p(sq	PROPN
ejpam-6486	166	11	,	,	PUNCT
ejpam-6486	166	12	sq+1,ℑ	sq+1,ℑ	NOUN
ejpam-6486	166	13	)	)	PUNCT
ejpam-6486	166	14	=	=	SYM
ejpam-6486	166	15	1	1	NUM
ejpam-6486	166	16	for	for	ADP
ejpam-6486	166	17	all	all	DET
ejpam-6486	166	18	ℑ	ℑ	NOUN
ejpam-6486	166	19	>	>	X
ejpam-6486	166	20	0	0	X
ejpam-6486	166	21	.	.	PUNCT
ejpam-6486	167	1	(	(	PUNCT
ejpam-6486	167	2	2	2	X
ejpam-6486	167	3	)	)	PUNCT
ejpam-6486	167	4	next	next	ADV
ejpam-6486	167	5	,	,	PUNCT
ejpam-6486	167	6	we	we	PRON
ejpam-6486	167	7	show	show	VERB
ejpam-6486	167	8	that	that	SCONJ
ejpam-6486	167	9	{	{	PUNCT
ejpam-6486	167	10	sq	sq	ADJ
ejpam-6486	167	11	}	}	PUNCT
ejpam-6486	167	12	is	be	AUX
ejpam-6486	167	13	a	a	DET
ejpam-6486	167	14	cauchy	cauchy	ADJ
ejpam-6486	167	15	sequence	sequence	NOUN
ejpam-6486	167	16	.	.	PUNCT
ejpam-6486	168	1	assume	assume	VERB
ejpam-6486	168	2	the	the	DET
ejpam-6486	168	3	opposite	opposite	NOUN
ejpam-6486	168	4	,	,	PUNCT
ejpam-6486	168	5	that	that	ADV
ejpam-6486	168	6	is	is	ADV
ejpam-6486	168	7	,	,	PUNCT
ejpam-6486	168	8	that	that	SCONJ
ejpam-6486	168	9	{	{	PUNCT
ejpam-6486	168	10	sq	sq	ADJ
ejpam-6486	168	11	}	}	PUNCT
ejpam-6486	168	12	is	be	AUX
ejpam-6486	168	13	not	not	PART
ejpam-6486	168	14	cauchy	cauchy	ADJ
ejpam-6486	168	15	.	.	PUNCT
ejpam-6486	169	1	then	then	ADV
ejpam-6486	169	2	,	,	PUNCT
ejpam-6486	169	3	there	there	PRON
ejpam-6486	169	4	exist	exist	VERB
ejpam-6486	169	5	ζ	ζ	NOUN
ejpam-6486	169	6	∈	∈	NOUN
ejpam-6486	169	7	(	(	PUNCT
ejpam-6486	169	8	0	0	NUM
ejpam-6486	169	9	,	,	PUNCT
ejpam-6486	169	10	1	1	NUM
ejpam-6486	169	11	)	)	PUNCT
ejpam-6486	169	12	,	,	PUNCT
ejpam-6486	169	13	ℑ0	ℑ0	NOUN
ejpam-6486	169	14	>	>	SYM
ejpam-6486	169	15	0	0	NUM
ejpam-6486	170	1	and	and	CCONJ
ejpam-6486	170	2	two	two	NUM
ejpam-6486	170	3	subsequences	subsequence	NOUN
ejpam-6486	170	4	{	{	PUNCT
ejpam-6486	170	5	sqi	sqi	NOUN
ejpam-6486	170	6	}	}	PUNCT
ejpam-6486	170	7	and	and	CCONJ
ejpam-6486	170	8	{	{	PUNCT
ejpam-6486	170	9	spi	spi	NOUN
ejpam-6486	170	10	}	}	PUNCT
ejpam-6486	170	11	such	such	ADJ
ejpam-6486	170	12	that	that	PRON
ejpam-6486	170	13	for	for	ADP
ejpam-6486	170	14	sufficiently	sufficiently	ADV
ejpam-6486	170	15	large	large	ADJ
ejpam-6486	170	16	i	i	PRON
ejpam-6486	170	17	,	,	PUNCT
ejpam-6486	170	18	we	we	PRON
ejpam-6486	170	19	have	have	VERB
ejpam-6486	170	20	:	:	PUNCT
ejpam-6486	170	21	p(spi	p(spi	NOUN
ejpam-6486	170	22	,	,	PUNCT
ejpam-6486	170	23	sqi	sqi	NOUN
ejpam-6486	170	24	,	,	PUNCT
ejpam-6486	170	25	ℑ0	ℑ0	PROPN
ejpam-6486	170	26	)	)	PUNCT
ejpam-6486	170	27	≤	≤	NOUN
ejpam-6486	170	28	1−	1−	NUM
ejpam-6486	170	29	ζ	ζ	NOUN
ejpam-6486	170	30	.	.	PUNCT
ejpam-6486	170	31	a.	a.	NOUN
ejpam-6486	170	32	moussaoui	moussaoui	NOUN
ejpam-6486	170	33	,	,	PUNCT
ejpam-6486	170	34	m.	m.	NOUN
ejpam-6486	170	35	pantović	pantović	NOUN
ejpam-6486	170	36	,	,	PUNCT
ejpam-6486	170	37	s.	s.	PROPN
ejpam-6486	170	38	radenović	radenović	PROPN
ejpam-6486	170	39	/	/	SYM
ejpam-6486	170	40	eur	eur	PROPN
ejpam-6486	170	41	.	.	PUNCT
ejpam-6486	171	1	j.	j.	PROPN
ejpam-6486	171	2	pure	pure	PROPN
ejpam-6486	171	3	appl	appl	PROPN
ejpam-6486	171	4	.	.	PROPN
ejpam-6486	171	5	math	math	PROPN
ejpam-6486	171	6	,	,	PUNCT
ejpam-6486	171	7	18	18	NUM
ejpam-6486	171	8	(	(	PUNCT
ejpam-6486	171	9	3	3	NUM
ejpam-6486	171	10	)	)	PUNCT
ejpam-6486	171	11	(	(	PUNCT
ejpam-6486	171	12	2025	2025	NUM
ejpam-6486	171	13	)	)	PUNCT
ejpam-6486	171	14	,	,	PUNCT
ejpam-6486	171	15	6486	6486	NUM
ejpam-6486	171	16	9	9	NUM
ejpam-6486	171	17	of	of	ADP
ejpam-6486	171	18	18	18	NUM
ejpam-6486	171	19	taking	take	VERB
ejpam-6486	171	20	into	into	ADP
ejpam-6486	171	21	consideration	consideration	NOUN
ejpam-6486	171	22	lemma	lemma	PROPN
ejpam-6486	171	23	1	1	NUM
ejpam-6486	171	24	,	,	PUNCT
ejpam-6486	171	25	we	we	PRON
ejpam-6486	171	26	get	get	VERB
ejpam-6486	171	27	p	p	NOUN
ejpam-6486	171	28	(	(	PUNCT
ejpam-6486	171	29	spi	spi	PROPN
ejpam-6486	171	30	,	,	PUNCT
ejpam-6486	171	31	sqi	sqi	NOUN
ejpam-6486	171	32	,	,	PUNCT
ejpam-6486	171	33	ℑ0	ℑ0	ADJ
ejpam-6486	171	34	2	2	NUM
ejpam-6486	171	35	)	)	PUNCT
ejpam-6486	171	36	≤	≤	NOUN
ejpam-6486	171	37	1−	1−	NUM
ejpam-6486	171	38	ζ	ζ	NOUN
ejpam-6486	171	39	.	.	PUNCT
ejpam-6486	172	1	(	(	PUNCT
ejpam-6486	172	2	3	3	NUM
ejpam-6486	172	3	)	)	PUNCT
ejpam-6486	172	4	by	by	ADP
ejpam-6486	172	5	selecting	select	VERB
ejpam-6486	172	6	pi	pi	NOUN
ejpam-6486	172	7	as	as	ADP
ejpam-6486	172	8	the	the	DET
ejpam-6486	172	9	smallest	small	ADJ
ejpam-6486	172	10	index	index	NOUN
ejpam-6486	172	11	satisfying	satisfy	VERB
ejpam-6486	172	12	the	the	DET
ejpam-6486	172	13	above	above	ADJ
ejpam-6486	172	14	inequality	inequality	NOUN
ejpam-6486	172	15	,	,	PUNCT
ejpam-6486	172	16	we	we	PRON
ejpam-6486	172	17	obtain	obtain	VERB
ejpam-6486	172	18	p	p	NOUN
ejpam-6486	172	19	(	(	PUNCT
ejpam-6486	172	20	spi	spi	PROPN
ejpam-6486	172	21	,	,	PUNCT
ejpam-6486	172	22	sqi−1	sqi−1	PROPN
ejpam-6486	172	23	,	,	PUNCT
ejpam-6486	172	24	ℑ0	ℑ0	NOUN
ejpam-6486	172	25	2	2	NUM
ejpam-6486	172	26	)	)	PUNCT
ejpam-6486	172	27	>	>	X
ejpam-6486	172	28	1−	1−	NUM
ejpam-6486	172	29	ζ	ζ	NOUN
ejpam-6486	172	30	.	.	PUNCT
ejpam-6486	173	1	(	(	PUNCT
ejpam-6486	173	2	4	4	NUM
ejpam-6486	173	3	)	)	PUNCT
ejpam-6486	173	4	in	in	ADP
ejpam-6486	173	5	view	view	NOUN
ejpam-6486	173	6	of	of	ADP
ejpam-6486	173	7	lemma	lemma	PROPN
ejpam-6486	173	8	2	2	NUM
ejpam-6486	173	9	and	and	CCONJ
ejpam-6486	173	10	condition	condition	NOUN
ejpam-6486	173	11	(	(	PUNCT
ejpam-6486	173	12	1	1	NUM
ejpam-6486	173	13	)	)	PUNCT
ejpam-6486	173	14	,	,	PUNCT
ejpam-6486	173	15	we	we	PRON
ejpam-6486	173	16	have	have	VERB
ejpam-6486	173	17	0	0	NUM
ejpam-6486	173	18	≤	≤	NUM
ejpam-6486	173	19	s	s	PART
ejpam-6486	173	20	(	(	PUNCT
ejpam-6486	173	21	p(kspi−1,ksqi−1,ℑ0),p(spi−1	p(kspi−1,ksqi−1,ℑ0),p(spi−1	PROPN
ejpam-6486	173	22	,	,	PUNCT
ejpam-6486	173	23	sqi−1,ℑ0	sqi−1,ℑ0	PROPN
ejpam-6486	173	24	)	)	PUNCT
ejpam-6486	173	25	)	)	PUNCT
ejpam-6486	174	1	=	=	PUNCT
ejpam-6486	174	2	s	s	X
ejpam-6486	174	3	(	(	PUNCT
ejpam-6486	174	4	p(spi	p(spi	NOUN
ejpam-6486	174	5	,	,	PUNCT
ejpam-6486	174	6	sqi	sqi	NOUN
ejpam-6486	174	7	,	,	PUNCT
ejpam-6486	174	8	ℑ0),p(spi−1	ℑ0),p(spi−1	PROPN
ejpam-6486	174	9	,	,	PUNCT
ejpam-6486	174	10	sqi−1,ℑ0	sqi−1,ℑ0	PROPN
ejpam-6486	174	11	)	)	PUNCT
ejpam-6486	174	12	)	)	PUNCT
ejpam-6486	175	1	the	the	DET
ejpam-6486	175	2	last	last	ADJ
ejpam-6486	175	3	equation	equation	NOUN
ejpam-6486	175	4	together	together	ADV
ejpam-6486	175	5	with	with	ADP
ejpam-6486	175	6	property	property	NOUN
ejpam-6486	175	7	(	(	PUNCT
ejpam-6486	175	8	s2	s2	PROPN
ejpam-6486	175	9	)	)	PUNCT
ejpam-6486	175	10	,	,	PUNCT
ejpam-6486	175	11	we	we	PRON
ejpam-6486	175	12	obtain	obtain	VERB
ejpam-6486	175	13	p(spi−1	p(spi−1	PROPN
ejpam-6486	175	14	,	,	PUNCT
ejpam-6486	175	15	sqi−1,ℑ0	sqi−1,ℑ0	PROPN
ejpam-6486	175	16	)	)	PUNCT
ejpam-6486	175	17	<	<	X
ejpam-6486	175	18	p(spi	p(spi	NOUN
ejpam-6486	175	19	,	,	PUNCT
ejpam-6486	175	20	sqi	sqi	NOUN
ejpam-6486	175	21	,	,	PUNCT
ejpam-6486	175	22	ℑ0	ℑ0	NOUN
ejpam-6486	175	23	)	)	PUNCT
ejpam-6486	175	24	.	.	PUNCT
ejpam-6486	176	1	(	(	PUNCT
ejpam-6486	176	2	5	5	NUM
ejpam-6486	176	3	)	)	PUNCT
ejpam-6486	176	4	by	by	ADP
ejpam-6486	176	5	(	(	PUNCT
ejpam-6486	176	6	3	3	NUM
ejpam-6486	176	7	)	)	PUNCT
ejpam-6486	176	8	,	,	PUNCT
ejpam-6486	176	9	(	(	PUNCT
ejpam-6486	176	10	4	4	NUM
ejpam-6486	176	11	)	)	PUNCT
ejpam-6486	176	12	,	,	PUNCT
ejpam-6486	176	13	and	and	CCONJ
ejpam-6486	176	14	(	(	PUNCT
ejpam-6486	176	15	m4	m4	PROPN
ejpam-6486	176	16	)	)	PUNCT
ejpam-6486	176	17	,	,	PUNCT
ejpam-6486	176	18	we	we	PRON
ejpam-6486	176	19	have	have	VERB
ejpam-6486	176	20	1−	1−	NUM
ejpam-6486	176	21	ϵ	ϵ	PRON
ejpam-6486	176	22	≥	≥	NOUN
ejpam-6486	176	23	p(spi	p(spi	NOUN
ejpam-6486	176	24	,	,	PUNCT
ejpam-6486	176	25	sqi	sqi	NOUN
ejpam-6486	176	26	,	,	PUNCT
ejpam-6486	176	27	ℑ0	ℑ0	PROPN
ejpam-6486	176	28	)	)	PUNCT
ejpam-6486	176	29	>	>	X
ejpam-6486	176	30	p(spi−1	p(spi−1	PROPN
ejpam-6486	176	31	,	,	PUNCT
ejpam-6486	176	32	sqi−1,ℑ0	sqi−1,ℑ0	PROPN
ejpam-6486	176	33	)	)	PUNCT
ejpam-6486	176	34	≥	≥	NOUN
ejpam-6486	176	35	p	p	NOUN
ejpam-6486	176	36	(	(	PUNCT
ejpam-6486	176	37	spi−1	spi−1	PROPN
ejpam-6486	176	38	,	,	PUNCT
ejpam-6486	176	39	spi	spi	PROPN
ejpam-6486	176	40	,	,	PUNCT
ejpam-6486	176	41	ℑ0	ℑ0	ADJ
ejpam-6486	176	42	2	2	NUM
ejpam-6486	176	43	)	)	PUNCT
ejpam-6486	176	44	∗p	∗p	PROPN
ejpam-6486	176	45	(	(	PUNCT
ejpam-6486	176	46	spi	spi	PROPN
ejpam-6486	176	47	,	,	PUNCT
ejpam-6486	176	48	sqi−1	sqi−1	PROPN
ejpam-6486	176	49	,	,	PUNCT
ejpam-6486	176	50	ℑ0	ℑ0	NOUN
ejpam-6486	176	51	2	2	NUM
ejpam-6486	176	52	)	)	PUNCT
ejpam-6486	176	53	>	>	X
ejpam-6486	177	1	p	p	X
ejpam-6486	177	2	(	(	PUNCT
ejpam-6486	177	3	sqi−1	sqi−1	PROPN
ejpam-6486	177	4	,	,	PUNCT
ejpam-6486	177	5	sqi	sqi	NOUN
ejpam-6486	177	6	,	,	PUNCT
ejpam-6486	177	7	ℑ0	ℑ0	ADJ
ejpam-6486	177	8	2	2	NUM
ejpam-6486	177	9	)	)	PUNCT
ejpam-6486	177	10	∗	∗	NOUN
ejpam-6486	177	11	(	(	PUNCT
ejpam-6486	177	12	1−	1−	NUM
ejpam-6486	177	13	ζ	ζ	NOUN
ejpam-6486	177	14	)	)	PUNCT
ejpam-6486	177	15	.	.	PUNCT
ejpam-6486	178	1	taking	take	VERB
ejpam-6486	178	2	limit	limit	NOUN
ejpam-6486	178	3	as	as	ADP
ejpam-6486	178	4	i→	i→	PROPN
ejpam-6486	178	5	+	+	NOUN
ejpam-6486	178	6	∞	∞	NUM
ejpam-6486	178	7	and	and	CCONJ
ejpam-6486	178	8	using	use	VERB
ejpam-6486	178	9	(	(	PUNCT
ejpam-6486	178	10	2	2	NUM
ejpam-6486	178	11	)	)	PUNCT
ejpam-6486	178	12	,	,	PUNCT
ejpam-6486	178	13	we	we	PRON
ejpam-6486	178	14	obtain	obtain	VERB
ejpam-6486	178	15	lim	lim	PROPN
ejpam-6486	178	16	i→+∞	i→+∞	PROPN
ejpam-6486	178	17	p(spi	p(spi	PROPN
ejpam-6486	178	18	,	,	PUNCT
ejpam-6486	178	19	sqi	sqi	NOUN
ejpam-6486	178	20	,	,	PUNCT
ejpam-6486	178	21	ℑ0	ℑ0	NOUN
ejpam-6486	178	22	)	)	PUNCT
ejpam-6486	178	23	=	=	SYM
ejpam-6486	178	24	lim	lim	PROPN
ejpam-6486	178	25	i→+∞	i→+∞	PROPN
ejpam-6486	178	26	p(spi−1	p(spi−1	PROPN
ejpam-6486	178	27	,	,	PUNCT
ejpam-6486	178	28	sqi−1,ℑ0	sqi−1,ℑ0	PROPN
ejpam-6486	178	29	)	)	PUNCT
ejpam-6486	178	30	=	=	SYM
ejpam-6486	178	31	1−	1−	NUM
ejpam-6486	178	32	ζ	ζ	NOUN
ejpam-6486	178	33	.	.	PUNCT
ejpam-6486	179	1	(	(	PUNCT
ejpam-6486	179	2	6	6	NUM
ejpam-6486	179	3	)	)	PUNCT
ejpam-6486	179	4	based	base	VERB
ejpam-6486	179	5	on	on	ADP
ejpam-6486	179	6	the	the	DET
ejpam-6486	179	7	preceding	precede	VERB
ejpam-6486	179	8	analysis	analysis	NOUN
ejpam-6486	179	9	,	,	PUNCT
ejpam-6486	179	10	we	we	PRON
ejpam-6486	179	11	identify	identify	VERB
ejpam-6486	179	12	the	the	DET
ejpam-6486	179	13	two	two	NUM
ejpam-6486	179	14	sequences	sequence	NOUN
ejpam-6486	179	15	{	{	PUNCT
ejpam-6486	179	16	ti	ti	NOUN
ejpam-6486	179	17	}	}	PUNCT
ejpam-6486	179	18	=	=	SYM
ejpam-6486	179	19	{	{	PUNCT
ejpam-6486	179	20	p(spi−1	p(spi−1	PROPN
ejpam-6486	179	21	,	,	PUNCT
ejpam-6486	179	22	sqi−1,ℑ0	sqi−1,ℑ0	PROPN
ejpam-6486	179	23	)	)	PUNCT
ejpam-6486	179	24	}	}	PUNCT
ejpam-6486	179	25	,	,	PUNCT
ejpam-6486	179	26	{	{	PUNCT
ejpam-6486	179	27	si	si	NOUN
ejpam-6486	179	28	}	}	PUNCT
ejpam-6486	179	29	=	=	SYM
ejpam-6486	179	30	{	{	PUNCT
ejpam-6486	179	31	p(spi	p(spi	NOUN
ejpam-6486	179	32	,	,	PUNCT
ejpam-6486	179	33	sqi	sqi	NOUN
ejpam-6486	179	34	,	,	PUNCT
ejpam-6486	179	35	ℑ0	ℑ0	NOUN
ejpam-6486	179	36	)	)	PUNCT
ejpam-6486	179	37	}	}	PUNCT
ejpam-6486	179	38	.	.	PUNCT
ejpam-6486	180	1	from	from	ADP
ejpam-6486	180	2	the	the	DET
ejpam-6486	180	3	previous	previous	ADJ
ejpam-6486	180	4	discussion	discussion	NOUN
ejpam-6486	180	5	,	,	PUNCT
ejpam-6486	180	6	we	we	PRON
ejpam-6486	180	7	consider	consider	VERB
ejpam-6486	180	8	the	the	DET
ejpam-6486	180	9	sequences	sequence	NOUN
ejpam-6486	180	10	{	{	PUNCT
ejpam-6486	180	11	ti	ti	NOUN
ejpam-6486	180	12	}	}	PUNCT
ejpam-6486	180	13	=	=	SYM
ejpam-6486	180	14	{	{	PUNCT
ejpam-6486	180	15	p(spi−1	p(spi−1	PROPN
ejpam-6486	180	16	,	,	PUNCT
ejpam-6486	180	17	sqi−1,ℑ0	sqi−1,ℑ0	PROPN
ejpam-6486	180	18	)	)	PUNCT
ejpam-6486	180	19	}	}	PUNCT
ejpam-6486	180	20	,	,	PUNCT
ejpam-6486	180	21	{	{	PUNCT
ejpam-6486	180	22	si	si	NOUN
ejpam-6486	180	23	}	}	PUNCT
ejpam-6486	180	24	=	=	SYM
ejpam-6486	180	25	{	{	PUNCT
ejpam-6486	180	26	p(spi	p(spi	NOUN
ejpam-6486	180	27	,	,	PUNCT
ejpam-6486	180	28	sqi	sqi	NOUN
ejpam-6486	180	29	,	,	PUNCT
ejpam-6486	180	30	ℑ0	ℑ0	NOUN
ejpam-6486	180	31	)	)	PUNCT
ejpam-6486	180	32	}	}	PUNCT
ejpam-6486	180	33	,	,	PUNCT
ejpam-6486	180	34	both	both	PRON
ejpam-6486	180	35	converging	converge	VERB
ejpam-6486	180	36	to	to	ADP
ejpam-6486	180	37	the	the	DET
ejpam-6486	180	38	same	same	ADJ
ejpam-6486	180	39	limit	limit	NOUN
ejpam-6486	180	40	1−ζ	1−ζ	NUM
ejpam-6486	180	41	<	<	X
ejpam-6486	180	42	1	1	NUM
ejpam-6486	180	43	.	.	PUNCT
ejpam-6486	180	44	moreover	moreover	ADV
ejpam-6486	180	45	,	,	PUNCT
ejpam-6486	180	46	noting	note	VERB
ejpam-6486	180	47	that	that	SCONJ
ejpam-6486	180	48	k	k	PROPN
ejpam-6486	180	49	fulfills	fulfill	VERB
ejpam-6486	180	50	the	the	DET
ejpam-6486	180	51	contraction	contraction	NOUN
ejpam-6486	180	52	condition	condition	NOUN
ejpam-6486	180	53	(	(	PUNCT
ejpam-6486	180	54	1	1	NUM
ejpam-6486	180	55	)	)	PUNCT
ejpam-6486	180	56	with	with	ADP
ejpam-6486	180	57	respect	respect	NOUN
ejpam-6486	180	58	to	to	ADP
ejpam-6486	180	59	s	s	PROPN
ejpam-6486	180	60	∈	∈	PROPN
ejpam-6486	180	61	fz	fz	NOUN
ejpam-6486	180	62	,	,	PUNCT
ejpam-6486	180	63	and	and	CCONJ
ejpam-6486	180	64	property	property	NOUN
ejpam-6486	180	65	(	(	PUNCT
ejpam-6486	180	66	s3	s3	PROPN
ejpam-6486	180	67	)	)	PUNCT
ejpam-6486	180	68	,	,	PUNCT
ejpam-6486	180	69	we	we	PRON
ejpam-6486	180	70	get	get	VERB
ejpam-6486	180	71	0	0	NUM
ejpam-6486	180	72	≤	≤	NOUN
ejpam-6486	180	73	lim	lim	PROPN
ejpam-6486	180	74	i→+∞	i→+∞	PROPN
ejpam-6486	180	75	sups	sup	NOUN
ejpam-6486	180	76	(	(	PUNCT
ejpam-6486	180	77	p(spi−1	p(spi−1	PROPN
ejpam-6486	180	78	,	,	PUNCT
ejpam-6486	180	79	sqi−1,ℑ0),p(spi	sqi−1,ℑ0),p(spi	PROPN
ejpam-6486	180	80	,	,	PUNCT
ejpam-6486	180	81	sqi	sqi	NOUN
ejpam-6486	180	82	,	,	PUNCT
ejpam-6486	180	83	ℑ0	ℑ0	NOUN
ejpam-6486	180	84	)	)	PUNCT
ejpam-6486	180	85	)	)	PUNCT
ejpam-6486	181	1	<	<	X
ejpam-6486	181	2	0	0	X
ejpam-6486	181	3	.	.	PUNCT
ejpam-6486	182	1	this	this	PRON
ejpam-6486	182	2	leads	lead	VERB
ejpam-6486	182	3	to	to	ADP
ejpam-6486	182	4	a	a	DET
ejpam-6486	182	5	contradiction	contradiction	NOUN
ejpam-6486	182	6	,	,	PUNCT
ejpam-6486	182	7	and	and	CCONJ
ejpam-6486	182	8	therefore	therefore	ADV
ejpam-6486	182	9	{	{	PUNCT
ejpam-6486	182	10	sq	sq	ADJ
ejpam-6486	182	11	}	}	PUNCT
ejpam-6486	182	12	must	must	AUX
ejpam-6486	182	13	be	be	AUX
ejpam-6486	182	14	a	a	DET
ejpam-6486	182	15	cauchy	cauchy	ADJ
ejpam-6486	182	16	sequence	sequence	NOUN
ejpam-6486	182	17	.	.	PUNCT
ejpam-6486	183	1	since	since	SCONJ
ejpam-6486	183	2	{	{	PUNCT
ejpam-6486	183	3	sq	sq	ADJ
ejpam-6486	183	4	}	}	PUNCT
ejpam-6486	183	5	⊆	⊆	NUM
ejpam-6486	183	6	k(e	k(e	NOUN
ejpam-6486	183	7	)	)	PUNCT
ejpam-6486	183	8	⊆	⊆	NUM
ejpam-6486	183	9	u	u	NOUN
ejpam-6486	183	10	,	,	PUNCT
ejpam-6486	183	11	it	it	PRON
ejpam-6486	183	12	follows	follow	VERB
ejpam-6486	183	13	that	that	SCONJ
ejpam-6486	183	14	{	{	PUNCT
ejpam-6486	183	15	sq	sq	ADJ
ejpam-6486	183	16	}	}	PUNCT
ejpam-6486	183	17	is	be	AUX
ejpam-6486	183	18	an	an	DET
ejpam-6486	183	19	r	r	NOUN
ejpam-6486	183	20	-	-	PUNCT
ejpam-6486	183	21	preserving	preserve	VERB
ejpam-6486	183	22	cauchy	cauchy	ADJ
ejpam-6486	183	23	sequence	sequence	NOUN
ejpam-6486	183	24	in	in	ADP
ejpam-6486	183	25	u	u	PROPN
ejpam-6486	183	26	.	.	PUNCT
ejpam-6486	184	1	given	give	VERB
ejpam-6486	184	2	a.	a.	NOUN
ejpam-6486	184	3	moussaoui	moussaoui	NOUN
ejpam-6486	184	4	,	,	PUNCT
ejpam-6486	184	5	m.	m.	NOUN
ejpam-6486	184	6	pantović	pantović	NOUN
ejpam-6486	184	7	,	,	PUNCT
ejpam-6486	184	8	s.	s.	PROPN
ejpam-6486	184	9	radenović	radenović	PROPN
ejpam-6486	184	10	/	/	SYM
ejpam-6486	184	11	eur	eur	PROPN
ejpam-6486	184	12	.	.	PUNCT
ejpam-6486	185	1	j.	j.	PROPN
ejpam-6486	185	2	pure	pure	PROPN
ejpam-6486	185	3	appl	appl	PROPN
ejpam-6486	185	4	.	.	PROPN
ejpam-6486	185	5	math	math	PROPN
ejpam-6486	185	6	,	,	PUNCT
ejpam-6486	185	7	18	18	NUM
ejpam-6486	185	8	(	(	PUNCT
ejpam-6486	185	9	3	3	NUM
ejpam-6486	185	10	)	)	PUNCT
ejpam-6486	185	11	(	(	PUNCT
ejpam-6486	185	12	2025	2025	NUM
ejpam-6486	185	13	)	)	PUNCT
ejpam-6486	185	14	,	,	PUNCT
ejpam-6486	185	15	6486	6486	NUM
ejpam-6486	185	16	10	10	NUM
ejpam-6486	185	17	of	of	ADP
ejpam-6486	185	18	18	18	NUM
ejpam-6486	185	19	that	that	SCONJ
ejpam-6486	185	20	u	u	NOUN
ejpam-6486	185	21	is	be	AUX
ejpam-6486	185	22	r	r	NOUN
ejpam-6486	185	23	-	-	PUNCT
ejpam-6486	185	24	complete	complete	ADJ
ejpam-6486	185	25	,	,	PUNCT
ejpam-6486	185	26	the	the	DET
ejpam-6486	185	27	sequence	sequence	NOUN
ejpam-6486	185	28	converges	converge	VERB
ejpam-6486	185	29	to	to	ADP
ejpam-6486	185	30	some	some	DET
ejpam-6486	185	31	point	point	NOUN
ejpam-6486	185	32	s̃	s̃	PROPN
ejpam-6486	185	33	∈	∈	PROPN
ejpam-6486	185	34	u	u	NOUN
ejpam-6486	185	35	.	.	PUNCT
ejpam-6486	186	1	if	if	SCONJ
ejpam-6486	186	2	k	k	PROPN
ejpam-6486	186	3	is	be	AUX
ejpam-6486	186	4	r	r	NOUN
ejpam-6486	186	5	-	-	PUNCT
ejpam-6486	186	6	continuous	continuous	ADJ
ejpam-6486	186	7	,	,	PUNCT
ejpam-6486	186	8	we	we	PRON
ejpam-6486	186	9	obtain	obtain	VERB
ejpam-6486	186	10	s̃	s̃	PROPN
ejpam-6486	186	11	=	=	PUNCT
ejpam-6486	187	1	limq→+∞	limq→+∞	PRON
ejpam-6486	187	2	sq+1	sq+1	PROPN
ejpam-6486	187	3	=	=	SYM
ejpam-6486	187	4	limq→+∞ksq	limq→+∞ksq	PROPN
ejpam-6486	187	5	=	=	SYM
ejpam-6486	187	6	ks̃.	ks̃.	PROPN
ejpam-6486	187	7	thus	thus	ADV
ejpam-6486	187	8	,	,	PUNCT
ejpam-6486	187	9	s̃	s̃	PROPN
ejpam-6486	187	10	is	be	AUX
ejpam-6486	187	11	a	a	DET
ejpam-6486	187	12	fixed	fix	VERB
ejpam-6486	187	13	point	point	NOUN
ejpam-6486	187	14	of	of	ADP
ejpam-6486	187	15	k.	k.	PROPN
ejpam-6486	187	16	next	next	ADV
ejpam-6486	187	17	,	,	PUNCT
ejpam-6486	187	18	suppose	suppose	VERB
ejpam-6486	187	19	that	that	SCONJ
ejpam-6486	187	20	the	the	DET
ejpam-6486	187	21	binary	binary	PROPN
ejpam-6486	187	22	relation	relation	PROPN
ejpam-6486	187	23	r	r	NOUN
ejpam-6486	187	24	is	be	AUX
ejpam-6486	187	25	p	p	ADJ
ejpam-6486	187	26	-	-	PUNCT
ejpam-6486	187	27	self	self	NOUN
ejpam-6486	187	28	-	-	PUNCT
ejpam-6486	187	29	closed	closed	ADJ
ejpam-6486	187	30	.	.	PUNCT
ejpam-6486	188	1	since	since	SCONJ
ejpam-6486	188	2	the	the	DET
ejpam-6486	188	3	sequence	sequence	NOUN
ejpam-6486	188	4	{	{	PUNCT
ejpam-6486	188	5	sq	sq	ADJ
ejpam-6486	188	6	}	}	PUNCT
ejpam-6486	188	7	preserves	preserve	NOUN
ejpam-6486	188	8	r	r	NOUN
ejpam-6486	188	9	and	and	CCONJ
ejpam-6486	188	10	converges	converge	NOUN
ejpam-6486	188	11	to	to	ADP
ejpam-6486	188	12	s̃	s̃	PROPN
ejpam-6486	188	13	,	,	PUNCT
ejpam-6486	188	14	there	there	PRON
ejpam-6486	188	15	exists	exist	VERB
ejpam-6486	188	16	a	a	DET
ejpam-6486	188	17	subsequence	subsequence	NOUN
ejpam-6486	188	18	{	{	PUNCT
ejpam-6486	188	19	sqi	sqi	NOUN
ejpam-6486	188	20	}	}	PUNCT
ejpam-6486	188	21	such	such	ADJ
ejpam-6486	188	22	that	that	SCONJ
ejpam-6486	188	23	[	[	X
ejpam-6486	188	24	sqi	sqi	NOUN
ejpam-6486	188	25	,	,	PUNCT
ejpam-6486	188	26	s̃	s̃	PROPN
ejpam-6486	188	27	]	]	X
ejpam-6486	188	28	∈	∈	PROPN
ejpam-6486	188	29	r|u	r|u	NOUN
ejpam-6486	188	30	for	for	ADP
ejpam-6486	188	31	all	all	DET
ejpam-6486	188	32	i	i	PROPN
ejpam-6486	188	33	,	,	PUNCT
ejpam-6486	188	34	and	and	CCONJ
ejpam-6486	188	35	by	by	ADP
ejpam-6486	188	36	proposition	proposition	NOUN
ejpam-6486	188	37	1	1	NUM
ejpam-6486	188	38	,	,	PUNCT
ejpam-6486	188	39	[	[	X
ejpam-6486	188	40	sqi	sqi	X
ejpam-6486	188	41	,	,	PUNCT
ejpam-6486	188	42	s̃	s̃	PROPN
ejpam-6486	188	43	]	]	X
ejpam-6486	188	44	∈	∈	PROPN
ejpam-6486	188	45	r	r	NOUN
ejpam-6486	188	46	and	and	CCONJ
ejpam-6486	188	47	sqi	sqi	NOUN
ejpam-6486	188	48	→	→	SYM
ejpam-6486	188	49	s̃.	s̃.	VERB
ejpam-6486	188	50	without	without	ADP
ejpam-6486	188	51	losing	lose	VERB
ejpam-6486	188	52	generality	generality	NOUN
ejpam-6486	188	53	,	,	PUNCT
ejpam-6486	188	54	we	we	PRON
ejpam-6486	188	55	assume	assume	VERB
ejpam-6486	188	56	that	that	SCONJ
ejpam-6486	188	57	sqi	sqi	VERB
ejpam-6486	188	58	̸=	̸=	PROPN
ejpam-6486	188	59	s̃	s̃	PROPN
ejpam-6486	188	60	for	for	ADP
ejpam-6486	188	61	every	every	DET
ejpam-6486	188	62	i	i	PROPN
ejpam-6486	188	63	∈	∈	PROPN
ejpam-6486	188	64	n.	n.	NOUN
ejpam-6486	188	65	now	now	ADV
ejpam-6486	188	66	making	make	VERB
ejpam-6486	188	67	use	use	NOUN
ejpam-6486	188	68	contraction	contraction	NOUN
ejpam-6486	188	69	inequality	inequality	NOUN
ejpam-6486	188	70	(	(	PUNCT
ejpam-6486	188	71	1	1	NUM
ejpam-6486	188	72	)	)	PUNCT
ejpam-6486	188	73	,	,	PUNCT
ejpam-6486	188	74	we	we	PRON
ejpam-6486	188	75	obtain	obtain	VERB
ejpam-6486	188	76	0	0	NUM
ejpam-6486	188	77	≤	≤	NUM
ejpam-6486	188	78	s	s	PART
ejpam-6486	188	79	(	(	PUNCT
ejpam-6486	188	80	p(ksqi	p(ksqi	NOUN
ejpam-6486	188	81	,	,	PUNCT
ejpam-6486	188	82	ks̃,ℑ),p(sqi	ks̃,ℑ),p(sqi	PROPN
ejpam-6486	188	83	,	,	PUNCT
ejpam-6486	188	84	s̃,ℑ	s̃,ℑ	PROPN
ejpam-6486	188	85	)	)	PUNCT
ejpam-6486	188	86	)	)	PUNCT
ejpam-6486	188	87	finally	finally	ADV
ejpam-6486	188	88	,	,	PUNCT
ejpam-6486	188	89	we	we	PRON
ejpam-6486	188	90	will	will	AUX
ejpam-6486	188	91	demonstrate	demonstrate	VERB
ejpam-6486	188	92	that	that	SCONJ
ejpam-6486	188	93	s̃	s̃	PROPN
ejpam-6486	188	94	is	be	AUX
ejpam-6486	188	95	a	a	DET
ejpam-6486	188	96	fixed	fix	VERB
ejpam-6486	188	97	point	point	NOUN
ejpam-6486	188	98	of	of	ADP
ejpam-6486	188	99	k.	k.	PROPN
ejpam-6486	188	100	suppose	suppose	VERB
ejpam-6486	188	101	that	that	SCONJ
ejpam-6486	188	102	ks̃	ks̃	VERB
ejpam-6486	188	103	̸=	̸=	PROPN
ejpam-6486	188	104	s̃.	s̃.	NOUN
ejpam-6486	188	105	then	then	ADV
ejpam-6486	188	106	,	,	PUNCT
ejpam-6486	188	107	we	we	PRON
ejpam-6486	188	108	have	have	AUX
ejpam-6486	188	109	p(s̃,ks̃,ℑ	p(s̃,ks̃,ℑ	VERB
ejpam-6486	188	110	)	)	PUNCT
ejpam-6486	188	111	<	<	X
ejpam-6486	189	1	1	1	X
ejpam-6486	189	2	.	.	PUNCT
ejpam-6486	189	3	now	now	ADV
ejpam-6486	189	4	,	,	PUNCT
ejpam-6486	189	5	by	by	ADP
ejpam-6486	189	6	(	(	PUNCT
ejpam-6486	189	7	s2	s2	PROPN
ejpam-6486	189	8	)	)	PUNCT
ejpam-6486	189	9	and	and	CCONJ
ejpam-6486	189	10	(	(	PUNCT
ejpam-6486	189	11	s3	s3	PROPN
ejpam-6486	189	12	)	)	PUNCT
ejpam-6486	189	13	,	,	PUNCT
ejpam-6486	189	14	we	we	PRON
ejpam-6486	189	15	obtain	obtain	VERB
ejpam-6486	189	16	0	0	NUM
ejpam-6486	189	17	≤	≤	NOUN
ejpam-6486	189	18	lim	lim	PROPN
ejpam-6486	189	19	i→+∞	i→+∞	PROPN
ejpam-6486	189	20	sups	sup	NOUN
ejpam-6486	189	21	(	(	PUNCT
ejpam-6486	189	22	p(sqi+1,ks̃,ℑ),p(sqi	p(sqi+1,ks̃,ℑ),p(sqi	NOUN
ejpam-6486	189	23	,	,	PUNCT
ejpam-6486	189	24	s̃,ℑ	s̃,ℑ	PROPN
ejpam-6486	189	25	)	)	PUNCT
ejpam-6486	189	26	)	)	PUNCT
ejpam-6486	190	1	=	=	SYM
ejpam-6486	190	2	lim	lim	PROPN
ejpam-6486	190	3	i→+∞	i→+∞	PROPN
ejpam-6486	190	4	sups	sup	NOUN
ejpam-6486	190	5	(	(	PUNCT
ejpam-6486	190	6	p(ksqi	p(ksqi	PROPN
ejpam-6486	190	7	,	,	PUNCT
ejpam-6486	190	8	ks̃,ℑ),p(sqi	ks̃,ℑ),p(sqi	PROPN
ejpam-6486	190	9	,	,	PUNCT
ejpam-6486	190	10	s̃,ℑ	s̃,ℑ	PROPN
ejpam-6486	190	11	)	)	PUNCT
ejpam-6486	190	12	)	)	PUNCT
ejpam-6486	190	13	≤	≤	PROPN
ejpam-6486	190	14	lim	lim	PROPN
ejpam-6486	190	15	i→+∞	i→+∞	PROPN
ejpam-6486	190	16	sup	sup	NOUN
ejpam-6486	190	17	(	(	PUNCT
ejpam-6486	190	18	1	1	NUM
ejpam-6486	190	19	p(sqi	p(sqi	PROPN
ejpam-6486	190	20	,	,	PUNCT
ejpam-6486	190	21	s̃,ℑ	s̃,ℑ	PROPN
ejpam-6486	190	22	)	)	PUNCT
ejpam-6486	190	23	−	−	PROPN
ejpam-6486	190	24	1	1	NUM
ejpam-6486	190	25	p(ksqi	p(ksqi	NOUN
ejpam-6486	190	26	,	,	PUNCT
ejpam-6486	190	27	ks̃,ℑ	ks̃,ℑ	PROPN
ejpam-6486	190	28	)	)	PUNCT
ejpam-6486	190	29	)	)	PUNCT
ejpam-6486	190	30	=	=	SYM
ejpam-6486	191	1	1−	1−	NUM
ejpam-6486	191	2	1	1	NUM
ejpam-6486	191	3	p(s̃,ks̃,ℑ	p(s̃,ks̃,ℑ	NOUN
ejpam-6486	191	4	)	)	PUNCT
ejpam-6486	191	5	.	.	PUNCT
ejpam-6486	192	1	consequentlly	consequentlly	ADV
ejpam-6486	192	2	,	,	PUNCT
ejpam-6486	192	3	0	0	NUM
ejpam-6486	192	4	≤	≤	NUM
ejpam-6486	192	5	lim	lim	PROPN
ejpam-6486	192	6	i→+∞	i→+∞	PROPN
ejpam-6486	192	7	sups	sup	NOUN
ejpam-6486	192	8	(	(	PUNCT
ejpam-6486	192	9	p(sqi+1,ks̃,ℑ),p(sqi	p(sqi+1,ks̃,ℑ),p(sqi	NOUN
ejpam-6486	192	10	,	,	PUNCT
ejpam-6486	192	11	s̃,ℑ	s̃,ℑ	PROPN
ejpam-6486	192	12	)	)	PUNCT
ejpam-6486	192	13	)	)	PUNCT
ejpam-6486	193	1	<	<	X
ejpam-6486	194	1	0	0	X
ejpam-6486	194	2	.	.	PUNCT
ejpam-6486	195	1	this	this	PRON
ejpam-6486	195	2	leads	lead	VERB
ejpam-6486	195	3	to	to	ADP
ejpam-6486	195	4	a	a	DET
ejpam-6486	195	5	contradiction	contradiction	NOUN
ejpam-6486	195	6	,	,	PUNCT
ejpam-6486	195	7	which	which	PRON
ejpam-6486	195	8	necessitates	necessitate	VERB
ejpam-6486	195	9	that	that	PRON
ejpam-6486	195	10	p(s̃,ks̃,ℑ	p(s̃,ks̃,ℑ	VERB
ejpam-6486	195	11	)	)	PUNCT
ejpam-6486	195	12	=	=	SYM
ejpam-6486	195	13	1	1	X
ejpam-6486	195	14	.	.	PUNCT
ejpam-6486	196	1	as	as	ADP
ejpam-6486	196	2	a	a	DET
ejpam-6486	196	3	result	result	NOUN
ejpam-6486	196	4	,	,	PUNCT
ejpam-6486	196	5	we	we	PRON
ejpam-6486	196	6	conclude	conclude	VERB
ejpam-6486	196	7	that	that	PRON
ejpam-6486	196	8	ks̃	ks̃	PUNCT
ejpam-6486	197	1	=	=	SYM
ejpam-6486	197	2	s̃	s̃	PROPN
ejpam-6486	197	3	,	,	PUNCT
ejpam-6486	197	4	indicating	indicate	VERB
ejpam-6486	197	5	that	that	SCONJ
ejpam-6486	197	6	s̃	s̃	PROPN
ejpam-6486	197	7	is	be	AUX
ejpam-6486	197	8	a	a	DET
ejpam-6486	197	9	fixed	fix	VERB
ejpam-6486	197	10	point	point	NOUN
ejpam-6486	197	11	of	of	ADP
ejpam-6486	197	12	the	the	DET
ejpam-6486	197	13	mapping	mapping	NOUN
ejpam-6486	197	14	k.	k.	PROPN
ejpam-6486	197	15	theorem	theorem	PROPN
ejpam-6486	197	16	2	2	NUM
ejpam-6486	197	17	.	.	PUNCT
ejpam-6486	198	1	under	under	ADP
ejpam-6486	198	2	the	the	DET
ejpam-6486	198	3	assumptions	assumption	NOUN
ejpam-6486	198	4	of	of	ADP
ejpam-6486	198	5	theorem	theorem	NOUN
ejpam-6486	198	6	1	1	NUM
ejpam-6486	198	7	,	,	PUNCT
ejpam-6486	198	8	if	if	SCONJ
ejpam-6486	198	9	for	for	ADP
ejpam-6486	198	10	every	every	DET
ejpam-6486	198	11	pair	pair	NOUN
ejpam-6486	198	12	of	of	ADP
ejpam-6486	198	13	points	point	NOUN
ejpam-6486	198	14	s	s	PROPN
ejpam-6486	198	15	,	,	PUNCT
ejpam-6486	198	16	t	t	PROPN
ejpam-6486	198	17	∈	∈	PROPN
ejpam-6486	198	18	e	e	X
ejpam-6486	198	19	the	the	DET
ejpam-6486	198	20	set	set	NOUN
ejpam-6486	198	21	p(s	p(s	NOUN
ejpam-6486	198	22	,	,	PUNCT
ejpam-6486	198	23	t	t	PROPN
ejpam-6486	198	24	,	,	PUNCT
ejpam-6486	198	25	r	r	NOUN
ejpam-6486	198	26	)	)	PUNCT
ejpam-6486	198	27	is	be	AUX
ejpam-6486	198	28	nonempty	nonempty	ADJ
ejpam-6486	198	29	,	,	PUNCT
ejpam-6486	198	30	then	then	ADV
ejpam-6486	198	31	self	self	NOUN
ejpam-6486	198	32	-	-	PUNCT
ejpam-6486	198	33	mapping	mapping	NOUN
ejpam-6486	199	1	k	k	PROPN
ejpam-6486	199	2	possesses	possess	VERB
ejpam-6486	199	3	a	a	DET
ejpam-6486	199	4	unique	unique	ADJ
ejpam-6486	199	5	fixed	fix	VERB
ejpam-6486	199	6	point	point	NOUN
ejpam-6486	199	7	.	.	PUNCT
ejpam-6486	200	1	proof	proof	NOUN
ejpam-6486	200	2	.	.	PUNCT
ejpam-6486	201	1	we	we	PRON
ejpam-6486	201	2	proceed	proceed	VERB
ejpam-6486	201	3	by	by	ADP
ejpam-6486	201	4	contradiction	contradiction	NOUN
ejpam-6486	201	5	.	.	PUNCT
ejpam-6486	202	1	suppose	suppose	VERB
ejpam-6486	202	2	that	that	SCONJ
ejpam-6486	202	3	there	there	PRON
ejpam-6486	202	4	exist	exist	VERB
ejpam-6486	202	5	two	two	NUM
ejpam-6486	202	6	distinct	distinct	ADJ
ejpam-6486	202	7	fixed	fix	VERB
ejpam-6486	202	8	points	point	NOUN
ejpam-6486	202	9	,	,	PUNCT
ejpam-6486	202	10	s	s	X
ejpam-6486	202	11	and	and	CCONJ
ejpam-6486	202	12	s̃	s̃	PROPN
ejpam-6486	202	13	,	,	PUNCT
ejpam-6486	202	14	of	of	ADP
ejpam-6486	202	15	the	the	DET
ejpam-6486	202	16	mapping	mapping	NOUN
ejpam-6486	202	17	k.	k.	NOUN
ejpam-6486	202	18	since	since	SCONJ
ejpam-6486	202	19	p(s	p(s	PROPN
ejpam-6486	202	20	,	,	PUNCT
ejpam-6486	202	21	s̃,r	s̃,r	NUM
ejpam-6486	202	22	)	)	PUNCT
ejpam-6486	202	23	is	be	AUX
ejpam-6486	202	24	nonempty	nonempty	ADJ
ejpam-6486	202	25	,	,	PUNCT
ejpam-6486	202	26	there	there	PRON
ejpam-6486	202	27	exists	exist	VERB
ejpam-6486	202	28	a	a	DET
ejpam-6486	202	29	finite	finite	ADJ
ejpam-6486	202	30	sequence	sequence	NOUN
ejpam-6486	202	31	{	{	PUNCT
ejpam-6486	202	32	γ0,γ1	γ0,γ1	PROPN
ejpam-6486	202	33	,	,	PUNCT
ejpam-6486	202	34	.	.	PUNCT
ejpam-6486	202	35	.	.	PUNCT
ejpam-6486	202	36	.	.	PUNCT
ejpam-6486	203	1	,	,	PUNCT
ejpam-6486	203	2	γq	γq	ADP
ejpam-6486	203	3	}	}	PUNCT
ejpam-6486	203	4	in	in	ADP
ejpam-6486	203	5	e	e	NOUN
ejpam-6486	203	6	with	with	ADP
ejpam-6486	203	7	length	length	NOUN
ejpam-6486	203	8	q	q	NOUN
ejpam-6486	203	9	,	,	PUNCT
ejpam-6486	203	10	satisfying	satisfying	ADJ
ejpam-6486	203	11	:	:	PUNCT
ejpam-6486	203	12	γ0	γ0	NOUN
ejpam-6486	203	13	=	=	SYM
ejpam-6486	203	14	s	s	NOUN
ejpam-6486	203	15	,	,	PUNCT
ejpam-6486	203	16	γq	γq	AUX
ejpam-6486	203	17	=	=	SYM
ejpam-6486	203	18	s̃	s̃	PROPN
ejpam-6486	203	19	,	,	PUNCT
ejpam-6486	203	20	and	and	CCONJ
ejpam-6486	203	21	(	(	PUNCT
ejpam-6486	203	22	γj	γj	NOUN
ejpam-6486	203	23	,	,	PUNCT
ejpam-6486	203	24	γj+1	γj+1	PROPN
ejpam-6486	203	25	)	)	PUNCT
ejpam-6486	203	26	∈	∈	PROPN
ejpam-6486	203	27	r	r	NOUN
ejpam-6486	203	28	for	for	ADP
ejpam-6486	203	29	j	j	PROPN
ejpam-6486	203	30	=	=	SYM
ejpam-6486	203	31	0	0	PROPN
ejpam-6486	203	32	,	,	PUNCT
ejpam-6486	203	33	1	1	NUM
ejpam-6486	203	34	,	,	PUNCT
ejpam-6486	203	35	.	.	PUNCT
ejpam-6486	203	36	.	.	PUNCT
ejpam-6486	204	1	.	.	PUNCT
ejpam-6486	205	1	,	,	PUNCT
ejpam-6486	205	2	q	q	NOUN
ejpam-6486	205	3	−	−	NOUN
ejpam-6486	205	4	1	1	NUM
ejpam-6486	205	5	.	.	PUNCT
ejpam-6486	205	6	due	due	ADP
ejpam-6486	205	7	to	to	ADP
ejpam-6486	205	8	the	the	DET
ejpam-6486	205	9	transitivity	transitivity	NOUN
ejpam-6486	205	10	of	of	ADP
ejpam-6486	205	11	r	r	NOUN
ejpam-6486	205	12	,	,	PUNCT
ejpam-6486	205	13	it	it	PRON
ejpam-6486	205	14	follows	follow	VERB
ejpam-6486	205	15	that	that	SCONJ
ejpam-6486	205	16	(	(	PUNCT
ejpam-6486	205	17	γ0,γq	γ0,γq	NOUN
ejpam-6486	205	18	)	)	PUNCT
ejpam-6486	205	19	∈	∈	PROPN
ejpam-6486	205	20	r.	r.	PROPN
ejpam-6486	205	21	as	as	SCONJ
ejpam-6486	205	22	k	k	PROPN
ejpam-6486	205	23	satisfies	satisfy	VERB
ejpam-6486	205	24	the	the	DET
ejpam-6486	205	25	contraction	contraction	NOUN
ejpam-6486	205	26	inequality	inequality	NOUN
ejpam-6486	205	27	(	(	PUNCT
ejpam-6486	205	28	1	1	NUM
ejpam-6486	205	29	)	)	PUNCT
ejpam-6486	205	30	with	with	ADP
ejpam-6486	205	31	respect	respect	NOUN
ejpam-6486	205	32	to	to	ADP
ejpam-6486	205	33	s	s	PROPN
ejpam-6486	205	34	∈	∈	PROPN
ejpam-6486	205	35	fz	fz	NOUN
ejpam-6486	205	36	,	,	PUNCT
ejpam-6486	205	37	we	we	PRON
ejpam-6486	205	38	have	have	VERB
ejpam-6486	205	39	:	:	PUNCT
ejpam-6486	205	40	0	0	NUM
ejpam-6486	205	41	≤	≤	NUM
ejpam-6486	205	42	s	s	X
ejpam-6486	205	43	(	(	PUNCT
ejpam-6486	205	44	p(kγ0,kγq,ℑ),p(γ0,γq,ℑ	p(kγ0,kγq,ℑ),p(γ0,γq,ℑ	NUM
ejpam-6486	205	45	)	)	PUNCT
ejpam-6486	205	46	)	)	PUNCT
ejpam-6486	206	1	<	<	X
ejpam-6486	206	2	1	1	NUM
ejpam-6486	206	3	p(γ0,γq,ℑ	p(γ0,γq,ℑ	NOUN
ejpam-6486	206	4	)	)	PUNCT
ejpam-6486	206	5	−	−	PROPN
ejpam-6486	206	6	1	1	NUM
ejpam-6486	206	7	p(kγ0,kγq,ℑ	p(kγ0,kγq,ℑ	NUM
ejpam-6486	206	8	)	)	PUNCT
ejpam-6486	206	9	=	=	SYM
ejpam-6486	206	10	1	1	NUM
ejpam-6486	206	11	p(s	p(s	NOUN
ejpam-6486	206	12	,	,	PUNCT
ejpam-6486	206	13	s̃,ℑ	s̃,ℑ	PROPN
ejpam-6486	206	14	)	)	PUNCT
ejpam-6486	206	15	−	−	PROPN
ejpam-6486	206	16	1	1	NUM
ejpam-6486	206	17	p(s	p(s	NOUN
ejpam-6486	206	18	,	,	PUNCT
ejpam-6486	206	19	s̃,ℑ	s̃,ℑ	PROPN
ejpam-6486	206	20	)	)	PUNCT
ejpam-6486	206	21	.	.	PUNCT
ejpam-6486	207	1	thus	thus	ADV
ejpam-6486	207	2	,	,	PUNCT
ejpam-6486	207	3	p(s	p(s	PROPN
ejpam-6486	207	4	,	,	PUNCT
ejpam-6486	207	5	s̃,ℑ	s̃,ℑ	PROPN
ejpam-6486	207	6	)	)	PUNCT
ejpam-6486	207	7	<	<	X
ejpam-6486	207	8	p(s	p(s	PROPN
ejpam-6486	207	9	,	,	PUNCT
ejpam-6486	207	10	s̃,ℑ	s̃,ℑ	PROPN
ejpam-6486	207	11	)	)	PUNCT
ejpam-6486	207	12	.	.	PUNCT
ejpam-6486	208	1	this	this	DET
ejpam-6486	208	2	inequality	inequality	NOUN
ejpam-6486	208	3	leads	lead	VERB
ejpam-6486	208	4	to	to	ADP
ejpam-6486	208	5	a	a	DET
ejpam-6486	208	6	contradiction	contradiction	NOUN
ejpam-6486	208	7	.	.	PUNCT
ejpam-6486	209	1	therefore	therefore	ADV
ejpam-6486	209	2	,	,	PUNCT
ejpam-6486	209	3	the	the	DET
ejpam-6486	209	4	fixed	fix	VERB
ejpam-6486	209	5	point	point	NOUN
ejpam-6486	209	6	of	of	ADP
ejpam-6486	209	7	k	k	PROPN
ejpam-6486	209	8	is	be	AUX
ejpam-6486	209	9	unique	unique	ADJ
ejpam-6486	209	10	.	.	PUNCT
ejpam-6486	210	1	a.	a.	NOUN
ejpam-6486	210	2	moussaoui	moussaoui	NOUN
ejpam-6486	210	3	,	,	PUNCT
ejpam-6486	210	4	m.	m.	NOUN
ejpam-6486	210	5	pantović	pantović	NOUN
ejpam-6486	210	6	,	,	PUNCT
ejpam-6486	210	7	s.	s.	PROPN
ejpam-6486	210	8	radenović	radenović	PROPN
ejpam-6486	210	9	/	/	SYM
ejpam-6486	210	10	eur	eur	PROPN
ejpam-6486	210	11	.	.	PUNCT
ejpam-6486	211	1	j.	j.	PROPN
ejpam-6486	211	2	pure	pure	PROPN
ejpam-6486	211	3	appl	appl	PROPN
ejpam-6486	211	4	.	.	PROPN
ejpam-6486	211	5	math	math	PROPN
ejpam-6486	211	6	,	,	PUNCT
ejpam-6486	211	7	18	18	NUM
ejpam-6486	211	8	(	(	PUNCT
ejpam-6486	211	9	3	3	NUM
ejpam-6486	211	10	)	)	PUNCT
ejpam-6486	211	11	(	(	PUNCT
ejpam-6486	211	12	2025	2025	NUM
ejpam-6486	211	13	)	)	PUNCT
ejpam-6486	211	14	,	,	PUNCT
ejpam-6486	211	15	6486	6486	NUM
ejpam-6486	211	16	11	11	NUM
ejpam-6486	211	17	of	of	ADP
ejpam-6486	211	18	18	18	NUM
ejpam-6486	211	19	corollary	corollary	ADJ
ejpam-6486	211	20	1	1	NUM
ejpam-6486	211	21	.	.	PUNCT
ejpam-6486	212	1	let	let	AUX
ejpam-6486	212	2	(	(	PUNCT
ejpam-6486	212	3	e	e	NOUN
ejpam-6486	212	4	,	,	PUNCT
ejpam-6486	212	5	p,⋏	p,⋏	NOUN
ejpam-6486	212	6	)	)	PUNCT
ejpam-6486	212	7	be	be	VERB
ejpam-6486	212	8	a	a	DET
ejpam-6486	212	9	fuzzy	fuzzy	ADJ
ejpam-6486	212	10	metric	metric	ADJ
ejpam-6486	212	11	space	space	NOUN
ejpam-6486	212	12	endowed	endow	VERB
ejpam-6486	212	13	with	with	ADP
ejpam-6486	212	14	a	a	DET
ejpam-6486	212	15	binary	binary	ADJ
ejpam-6486	212	16	relation	relation	NOUN
ejpam-6486	212	17	r	r	NOUN
ejpam-6486	212	18	,	,	PUNCT
ejpam-6486	212	19	and	and	CCONJ
ejpam-6486	212	20	let	let	VERB
ejpam-6486	212	21	k	k	NOUN
ejpam-6486	212	22	:	:	PUNCT
ejpam-6486	212	23	e	e	X
ejpam-6486	212	24	→	→	PUNCT
ejpam-6486	212	25	e	e	AUX
ejpam-6486	212	26	be	be	AUX
ejpam-6486	212	27	a	a	DET
ejpam-6486	212	28	self	self	NOUN
ejpam-6486	212	29	-	-	PUNCT
ejpam-6486	212	30	mapping	mapping	NOUN
ejpam-6486	212	31	.	.	PUNCT
ejpam-6486	213	1	suppose	suppose	VERB
ejpam-6486	213	2	the	the	DET
ejpam-6486	213	3	following	follow	VERB
ejpam-6486	213	4	conditions	condition	NOUN
ejpam-6486	213	5	are	be	AUX
ejpam-6486	213	6	satisfied	satisfied	ADJ
ejpam-6486	213	7	:	:	PUNCT
ejpam-6486	213	8	(	(	PUNCT
ejpam-6486	213	9	i	i	NOUN
ejpam-6486	213	10	)	)	PUNCT
ejpam-6486	213	11	(	(	PUNCT
ejpam-6486	213	12	e	e	NOUN
ejpam-6486	213	13	,	,	PUNCT
ejpam-6486	213	14	p,⋏	p,⋏	NOUN
ejpam-6486	213	15	)	)	PUNCT
ejpam-6486	213	16	is	be	AUX
ejpam-6486	213	17	complete	complete	ADJ
ejpam-6486	213	18	;	;	PUNCT
ejpam-6486	213	19	(	(	PUNCT
ejpam-6486	213	20	ii	ii	NOUN
ejpam-6486	213	21	)	)	PUNCT
ejpam-6486	213	22	e(k	e(k	NOUN
ejpam-6486	213	23	,	,	PUNCT
ejpam-6486	213	24	r	r	NOUN
ejpam-6486	213	25	)	)	PUNCT
ejpam-6486	213	26	̸=	̸=	NOUN
ejpam-6486	213	27	∅	∅	NOUN
ejpam-6486	213	28	;	;	PUNCT
ejpam-6486	213	29	(	(	PUNCT
ejpam-6486	213	30	iii	iii	X
ejpam-6486	213	31	)	)	PUNCT
ejpam-6486	213	32	r	r	NOUN
ejpam-6486	213	33	is	be	AUX
ejpam-6486	213	34	k	k	NOUN
ejpam-6486	213	35	-	-	ADJ
ejpam-6486	213	36	closed	closed	ADJ
ejpam-6486	213	37	and	and	CCONJ
ejpam-6486	213	38	transitive	transitive	ADJ
ejpam-6486	213	39	;	;	PUNCT
ejpam-6486	213	40	(	(	PUNCT
ejpam-6486	213	41	iv	iv	X
ejpam-6486	213	42	)	)	PUNCT
ejpam-6486	213	43	for	for	ADP
ejpam-6486	213	44	every	every	DET
ejpam-6486	213	45	pair	pair	NOUN
ejpam-6486	213	46	s	s	PROPN
ejpam-6486	213	47	,	,	PUNCT
ejpam-6486	213	48	t	t	PROPN
ejpam-6486	213	49	∈	∈	PROPN
ejpam-6486	213	50	e	e	X
ejpam-6486	213	51	with	with	ADP
ejpam-6486	213	52	(	(	PUNCT
ejpam-6486	213	53	s	s	PROPN
ejpam-6486	213	54	,	,	PUNCT
ejpam-6486	213	55	t	t	NOUN
ejpam-6486	213	56	)	)	PUNCT
ejpam-6486	213	57	∈	∈	PROPN
ejpam-6486	213	58	r	r	NOUN
ejpam-6486	213	59	and	and	CCONJ
ejpam-6486	213	60	each	each	DET
ejpam-6486	213	61	ℑ	ℑ	PROPN
ejpam-6486	213	62	>	>	X
ejpam-6486	213	63	0	0	NUM
ejpam-6486	213	64	,	,	PUNCT
ejpam-6486	213	65	the	the	DET
ejpam-6486	213	66	following	follow	VERB
ejpam-6486	213	67	inequality	inequality	NOUN
ejpam-6486	213	68	holds	hold	VERB
ejpam-6486	213	69	for	for	ADP
ejpam-6486	213	70	some	some	DET
ejpam-6486	213	71	s	s	X
ejpam-6486	213	72	∈	∈	NOUN
ejpam-6486	213	73	fz	fz	NOUN
ejpam-6486	213	74	:	:	PUNCT
ejpam-6486	213	75	s	s	X
ejpam-6486	213	76	(	(	PUNCT
ejpam-6486	213	77	p(ks	p(ks	PROPN
ejpam-6486	213	78	,	,	PUNCT
ejpam-6486	213	79	kt,ℑ),p(s	kt,ℑ),p(s	PROPN
ejpam-6486	213	80	,	,	PUNCT
ejpam-6486	213	81	t,ℑ	t,ℑ	PROPN
ejpam-6486	213	82	)	)	PUNCT
ejpam-6486	213	83	)	)	PUNCT
ejpam-6486	213	84	≥	≥	NOUN
ejpam-6486	213	85	0	0	NUM
ejpam-6486	213	86	;	;	PUNCT
ejpam-6486	213	87	(	(	PUNCT
ejpam-6486	213	88	v	v	NOUN
ejpam-6486	213	89	)	)	PUNCT
ejpam-6486	214	1	either	either	CCONJ
ejpam-6486	214	2	r	r	NOUN
ejpam-6486	214	3	is	be	AUX
ejpam-6486	214	4	p	p	ADJ
ejpam-6486	214	5	-	-	PUNCT
ejpam-6486	214	6	self	self	NOUN
ejpam-6486	214	7	-	-	PUNCT
ejpam-6486	214	8	closed	close	VERB
ejpam-6486	214	9	or	or	CCONJ
ejpam-6486	214	10	k	k	PROPN
ejpam-6486	214	11	is	be	AUX
ejpam-6486	214	12	r	r	NOUN
ejpam-6486	214	13	-	-	PUNCT
ejpam-6486	214	14	continuous	continuous	ADJ
ejpam-6486	214	15	.	.	PUNCT
ejpam-6486	215	1	then	then	ADV
ejpam-6486	215	2	,	,	PUNCT
ejpam-6486	215	3	the	the	DET
ejpam-6486	215	4	mapping	mapping	NOUN
ejpam-6486	215	5	k	k	PROPN
ejpam-6486	215	6	has	have	VERB
ejpam-6486	215	7	a	a	DET
ejpam-6486	215	8	fixed	fix	VERB
ejpam-6486	215	9	point	point	NOUN
ejpam-6486	215	10	.	.	PUNCT
ejpam-6486	216	1	proof	proof	NOUN
ejpam-6486	216	2	.	.	PUNCT
ejpam-6486	217	1	the	the	DET
ejpam-6486	217	2	result	result	NOUN
ejpam-6486	217	3	follows	follow	VERB
ejpam-6486	217	4	directly	directly	ADV
ejpam-6486	217	5	by	by	ADP
ejpam-6486	217	6	taking	take	VERB
ejpam-6486	217	7	u	u	NOUN
ejpam-6486	217	8	=	=	PUNCT
ejpam-6486	217	9	e	e	PROPN
ejpam-6486	217	10	in	in	ADP
ejpam-6486	217	11	theorem	theorem	NOUN
ejpam-6486	217	12	1	1	NUM
ejpam-6486	217	13	.	.	NOUN
ejpam-6486	217	14	example	example	NOUN
ejpam-6486	217	15	4	4	NUM
ejpam-6486	217	16	.	.	PUNCT
ejpam-6486	217	17	consider	consider	VERB
ejpam-6486	217	18	the	the	DET
ejpam-6486	217	19	metric	metric	ADJ
ejpam-6486	217	20	space	space	NOUN
ejpam-6486	217	21	(	(	PUNCT
ejpam-6486	217	22	e	e	NOUN
ejpam-6486	217	23	,	,	PUNCT
ejpam-6486	217	24	p	p	NOUN
ejpam-6486	217	25	)	)	PUNCT
ejpam-6486	217	26	,	,	PUNCT
ejpam-6486	217	27	where	where	SCONJ
ejpam-6486	217	28	e	e	NOUN
ejpam-6486	217	29	=	=	NOUN
ejpam-6486	217	30	r	r	NOUN
ejpam-6486	217	31	is	be	AUX
ejpam-6486	217	32	equipped	equip	VERB
ejpam-6486	217	33	with	with	ADP
ejpam-6486	217	34	the	the	DET
ejpam-6486	217	35	fuzzy	fuzzy	ADJ
ejpam-6486	217	36	metric	metric	ADJ
ejpam-6486	217	37	p(s	p(s	NOUN
ejpam-6486	217	38	,	,	PUNCT
ejpam-6486	217	39	t,ℑ	t,ℑ	PROPN
ejpam-6486	217	40	)	)	PUNCT
ejpam-6486	218	1	=	=	SYM
ejpam-6486	218	2	ℑ	ℑ	NOUN
ejpam-6486	218	3	ℑ+	ℑ+	AUX
ejpam-6486	218	4	|s−	|s−	VERB
ejpam-6486	218	5	t|	t|	NOUN
ejpam-6486	218	6	,	,	PUNCT
ejpam-6486	218	7	for	for	ADP
ejpam-6486	218	8	all	all	DET
ejpam-6486	218	9	s	s	PROPN
ejpam-6486	218	10	,	,	PUNCT
ejpam-6486	218	11	t	t	PROPN
ejpam-6486	218	12	∈	∈	PROPN
ejpam-6486	218	13	e	e	PROPN
ejpam-6486	218	14	and	and	CCONJ
ejpam-6486	218	15	ℑ	ℑ	PROPN
ejpam-6486	218	16	>	>	X
ejpam-6486	218	17	0	0	X
ejpam-6486	218	18	.	.	PUNCT
ejpam-6486	219	1	this	this	DET
ejpam-6486	219	2	space	space	NOUN
ejpam-6486	219	3	is	be	AUX
ejpam-6486	219	4	complete	complete	ADJ
ejpam-6486	219	5	.	.	PUNCT
ejpam-6486	220	1	define	define	VERB
ejpam-6486	220	2	the	the	DET
ejpam-6486	220	3	binary	binary	PROPN
ejpam-6486	220	4	relation	relation	NOUN
ejpam-6486	220	5	r	r	NOUN
ejpam-6486	220	6	on	on	ADP
ejpam-6486	220	7	e	e	X
ejpam-6486	220	8	by	by	ADP
ejpam-6486	220	9	r	r	NOUN
ejpam-6486	220	10	=	=	SYM
ejpam-6486	220	11	{	{	PUNCT
ejpam-6486	220	12	(	(	PUNCT
ejpam-6486	220	13	s	s	PROPN
ejpam-6486	220	14	,	,	PUNCT
ejpam-6486	220	15	t	t	PROPN
ejpam-6486	220	16	)	)	PUNCT
ejpam-6486	220	17	∈	∈	PROPN
ejpam-6486	220	18	e2	e2	PROPN
ejpam-6486	220	19	:	:	PUNCT
ejpam-6486	220	20	(	(	PUNCT
ejpam-6486	220	21	s−	s−	PROPN
ejpam-6486	220	22	t)(s+	t)(s+	VERB
ejpam-6486	220	23	t+	t+	NOUN
ejpam-6486	220	24	11	11	NUM
ejpam-6486	220	25	)	)	PUNCT
ejpam-6486	220	26	=	=	SYM
ejpam-6486	220	27	0	0	NUM
ejpam-6486	220	28	}	}	PUNCT
ejpam-6486	220	29	.	.	PUNCT
ejpam-6486	221	1	define	define	VERB
ejpam-6486	221	2	the	the	DET
ejpam-6486	221	3	mapping	mapping	NOUN
ejpam-6486	221	4	k	k	NOUN
ejpam-6486	222	1	:	:	PUNCT
ejpam-6486	222	2	e	e	X
ejpam-6486	222	3	→	→	SYM
ejpam-6486	222	4	e	e	X
ejpam-6486	222	5	by	by	ADP
ejpam-6486	222	6	k(s	k(s	PROPN
ejpam-6486	222	7	)	)	PUNCT
ejpam-6486	222	8	=	=	SYM
ejpam-6486	222	9	s2	s2	NOUN
ejpam-6486	222	10	+	+	CCONJ
ejpam-6486	222	11	11s+	11s+	NUM
ejpam-6486	222	12	16	16	NUM
ejpam-6486	222	13	.	.	PUNCT
ejpam-6486	223	1	the	the	DET
ejpam-6486	223	2	mapping	mapping	NOUN
ejpam-6486	223	3	k	k	PROPN
ejpam-6486	223	4	is	be	AUX
ejpam-6486	223	5	continuous	continuous	ADJ
ejpam-6486	223	6	.	.	PUNCT
ejpam-6486	224	1	for	for	ADP
ejpam-6486	224	2	any	any	DET
ejpam-6486	224	3	s	s	PROPN
ejpam-6486	224	4	,	,	PUNCT
ejpam-6486	224	5	t	t	PROPN
ejpam-6486	224	6	∈	∈	PROPN
ejpam-6486	224	7	e	e	X
ejpam-6486	224	8	with	with	ADP
ejpam-6486	224	9	(	(	PUNCT
ejpam-6486	224	10	s	s	PROPN
ejpam-6486	224	11	,	,	PUNCT
ejpam-6486	224	12	t	t	PROPN
ejpam-6486	224	13	)	)	PUNCT
ejpam-6486	224	14	∈	∈	PROPN
ejpam-6486	224	15	r	r	NOUN
ejpam-6486	224	16	,	,	PUNCT
ejpam-6486	224	17	it	it	PRON
ejpam-6486	224	18	follows	follow	VERB
ejpam-6486	224	19	that	that	SCONJ
ejpam-6486	224	20	k(s	k(s	PROPN
ejpam-6486	224	21	)	)	PUNCT
ejpam-6486	224	22	=	=	PUNCT
ejpam-6486	225	1	k(t	k(t	NOUN
ejpam-6486	225	2	)	)	PUNCT
ejpam-6486	225	3	,	,	PUNCT
ejpam-6486	225	4	hence	hence	ADV
ejpam-6486	225	5	(	(	PUNCT
ejpam-6486	225	6	k(s),k(t	k(s),k(t	NOUN
ejpam-6486	225	7	)	)	PUNCT
ejpam-6486	225	8	)	)	PUNCT
ejpam-6486	226	1	∈	∈	PROPN
ejpam-6486	226	2	r	r	NOUN
ejpam-6486	226	3	,	,	PUNCT
ejpam-6486	226	4	which	which	PRON
ejpam-6486	226	5	means	mean	VERB
ejpam-6486	226	6	r	r	NOUN
ejpam-6486	226	7	is	be	AUX
ejpam-6486	226	8	k	k	NOUN
ejpam-6486	226	9	-	-	ADJ
ejpam-6486	226	10	closed	closed	ADJ
ejpam-6486	226	11	.	.	PUNCT
ejpam-6486	227	1	consider	consider	VERB
ejpam-6486	227	2	the	the	DET
ejpam-6486	227	3	point	point	NOUN
ejpam-6486	227	4	−8	−8	X
ejpam-6486	227	5	∈	∈	PROPN
ejpam-6486	227	6	e.	e.	PROPN
ejpam-6486	227	7	then	then	ADV
ejpam-6486	227	8	k(−8	k(−8	PROPN
ejpam-6486	227	9	)	)	PUNCT
ejpam-6486	228	1	=	=	PRON
ejpam-6486	228	2	(	(	PUNCT
ejpam-6486	228	3	−8)2	−8)2	NUM
ejpam-6486	228	4	+	+	SYM
ejpam-6486	228	5	11(−8)+	11(−8)+	NUM
ejpam-6486	228	6	16	16	NUM
ejpam-6486	228	7	=	=	SYM
ejpam-6486	228	8	−8	−8	NOUN
ejpam-6486	228	9	,	,	PUNCT
ejpam-6486	228	10	therefore	therefore	ADV
ejpam-6486	228	11	,	,	PUNCT
ejpam-6486	228	12	(	(	PUNCT
ejpam-6486	228	13	−8,k(−8	−8,k(−8	NOUN
ejpam-6486	228	14	)	)	PUNCT
ejpam-6486	228	15	)	)	PUNCT
ejpam-6486	229	1	∈	∈	PROPN
ejpam-6486	229	2	r	r	NOUN
ejpam-6486	229	3	,	,	PUNCT
ejpam-6486	229	4	confirming	confirm	VERB
ejpam-6486	229	5	e(k	e(k	NOUN
ejpam-6486	229	6	,	,	PUNCT
ejpam-6486	229	7	r	r	NOUN
ejpam-6486	229	8	)	)	PUNCT
ejpam-6486	229	9	̸=	̸=	PROPN
ejpam-6486	229	10	∅.	∅.	AUX
ejpam-6486	229	11	define	define	VERB
ejpam-6486	229	12	the	the	DET
ejpam-6486	229	13	function	function	NOUN
ejpam-6486	229	14	s	s	PART
ejpam-6486	229	15	:	:	PUNCT
ejpam-6486	229	16	(	(	PUNCT
ejpam-6486	229	17	0	0	NUM
ejpam-6486	229	18	,	,	PUNCT
ejpam-6486	229	19	1]×	1]×	NUM
ejpam-6486	229	20	(	(	PUNCT
ejpam-6486	229	21	0	0	NUM
ejpam-6486	229	22	,	,	PUNCT
ejpam-6486	229	23	1	1	NUM
ejpam-6486	229	24	]	]	PUNCT
ejpam-6486	229	25	→	→	PUNCT
ejpam-6486	229	26	r	r	NOUN
ejpam-6486	229	27	by	by	ADP
ejpam-6486	229	28	s(r	s(r	PROPN
ejpam-6486	229	29	,	,	PUNCT
ejpam-6486	229	30	b	b	NOUN
ejpam-6486	229	31	)	)	PUNCT
ejpam-6486	229	32	=	=	SYM
ejpam-6486	230	1	7	7	NUM
ejpam-6486	230	2	9	9	NUM
ejpam-6486	230	3	(	(	PUNCT
ejpam-6486	230	4	1	1	NUM
ejpam-6486	230	5	b	b	NOUN
ejpam-6486	230	6	−	−	NOUN
ejpam-6486	230	7	1	1	NUM
ejpam-6486	230	8	)	)	PUNCT
ejpam-6486	230	9	−	−	PROPN
ejpam-6486	230	10	(	(	PUNCT
ejpam-6486	230	11	1	1	NUM
ejpam-6486	230	12	r	r	NOUN
ejpam-6486	230	13	−	−	NOUN
ejpam-6486	230	14	1	1	NUM
ejpam-6486	230	15	)	)	PUNCT
ejpam-6486	230	16	.	.	PUNCT
ejpam-6486	231	1	for	for	ADP
ejpam-6486	231	2	any	any	DET
ejpam-6486	231	3	r	r	NOUN
ejpam-6486	231	4	,	,	PUNCT
ejpam-6486	231	5	b	b	NOUN
ejpam-6486	231	6	∈	∈	PROPN
ejpam-6486	231	7	e	e	X
ejpam-6486	231	8	with	with	ADP
ejpam-6486	231	9	(	(	PUNCT
ejpam-6486	231	10	r	r	NOUN
ejpam-6486	231	11	,	,	PUNCT
ejpam-6486	231	12	b	b	NOUN
ejpam-6486	231	13	)	)	PUNCT
ejpam-6486	231	14	∈	∈	PROPN
ejpam-6486	231	15	r	r	NOUN
ejpam-6486	231	16	,	,	PUNCT
ejpam-6486	231	17	s(p(ks	s(p(ks	PROPN
ejpam-6486	231	18	,	,	PUNCT
ejpam-6486	231	19	kt,ℑ),p(s	kt,ℑ),p(s	PROPN
ejpam-6486	231	20	,	,	PUNCT
ejpam-6486	231	21	t,ℑ	t,ℑ	PROPN
ejpam-6486	231	22	)	)	PUNCT
ejpam-6486	231	23	)	)	PUNCT
ejpam-6486	231	24	=	=	PUNCT
ejpam-6486	231	25	7	7	NUM
ejpam-6486	231	26	9	9	NUM
ejpam-6486	231	27	(	(	PUNCT
ejpam-6486	231	28	1	1	NUM
ejpam-6486	231	29	p(s	p(s	NOUN
ejpam-6486	231	30	,	,	PUNCT
ejpam-6486	231	31	t,ℑ	t,ℑ	PROPN
ejpam-6486	231	32	)	)	PUNCT
ejpam-6486	231	33	−	−	PROPN
ejpam-6486	231	34	1	1	NUM
ejpam-6486	231	35	)	)	PUNCT
ejpam-6486	231	36	−	−	PROPN
ejpam-6486	231	37	(	(	PUNCT
ejpam-6486	231	38	1	1	NUM
ejpam-6486	231	39	p(ks	p(ks	PROPN
ejpam-6486	231	40	,	,	PUNCT
ejpam-6486	231	41	kt,ℑ	kt,ℑ	PROPN
ejpam-6486	231	42	)	)	PUNCT
ejpam-6486	231	43	−	−	PROPN
ejpam-6486	231	44	1	1	NUM
ejpam-6486	231	45	)	)	PUNCT
ejpam-6486	231	46	.	.	PUNCT
ejpam-6486	232	1	=	=	NOUN
ejpam-6486	232	2	7	7	NUM
ejpam-6486	232	3	9	9	NUM
ejpam-6486	232	4	|	|	ADV
ejpam-6486	232	5	s−	s−	PROPN
ejpam-6486	232	6	t	t	PROPN
ejpam-6486	232	7	|	|	ADV
ejpam-6486	232	8	ℑ	ℑ	PROPN
ejpam-6486	232	9	−	−	PROPN
ejpam-6486	233	1	|	|	ADV
ejpam-6486	233	2	ks−kt	ks−kt	NOUN
ejpam-6486	233	3	|	|	ADV
ejpam-6486	233	4	ℑ	ℑ	PROPN
ejpam-6486	233	5	=	=	NOUN
ejpam-6486	233	6	7	7	NUM
ejpam-6486	233	7	9	9	NUM
ejpam-6486	233	8	|	|	ADV
ejpam-6486	233	9	s−	s−	PROPN
ejpam-6486	233	10	t	t	PROPN
ejpam-6486	234	1	|	|	ADV
ejpam-6486	234	2	ℑ	ℑ	PROPN
ejpam-6486	234	3	−	−	PROPN
ejpam-6486	235	1	|	|	ADV
ejpam-6486	235	2	(	(	PUNCT
ejpam-6486	235	3	s2	s2	NOUN
ejpam-6486	235	4	+	+	CCONJ
ejpam-6486	235	5	11s+	11s+	NUM
ejpam-6486	235	6	16)−	16)−	NUM
ejpam-6486	235	7	(	(	PUNCT
ejpam-6486	235	8	t2	t2	NOUN
ejpam-6486	235	9	+	+	CCONJ
ejpam-6486	235	10	11t+	11t+	NUM
ejpam-6486	235	11	16	16	NUM
ejpam-6486	235	12	)	)	PUNCT
ejpam-6486	235	13	|	|	ADV
ejpam-6486	235	14	ℑ	ℑ	NOUN
ejpam-6486	235	15	=	=	NOUN
ejpam-6486	235	16	7	7	NUM
ejpam-6486	235	17	9	9	NUM
ejpam-6486	235	18	|	|	ADV
ejpam-6486	235	19	s−	s−	PROPN
ejpam-6486	235	20	t	t	PROPN
ejpam-6486	236	1	|	|	ADV
ejpam-6486	236	2	ℑ	ℑ	PROPN
ejpam-6486	236	3	≥	≥	NUM
ejpam-6486	236	4	0	0	NUM
ejpam-6486	236	5	.	.	PUNCT
ejpam-6486	236	6	a.	a.	NOUN
ejpam-6486	236	7	moussaoui	moussaoui	PROPN
ejpam-6486	236	8	,	,	PUNCT
ejpam-6486	236	9	m.	m.	NOUN
ejpam-6486	236	10	pantović	pantović	NOUN
ejpam-6486	236	11	,	,	PUNCT
ejpam-6486	236	12	s.	s.	PROPN
ejpam-6486	236	13	radenović	radenović	PROPN
ejpam-6486	236	14	/	/	SYM
ejpam-6486	236	15	eur	eur	PROPN
ejpam-6486	236	16	.	.	PUNCT
ejpam-6486	237	1	j.	j.	PROPN
ejpam-6486	237	2	pure	pure	PROPN
ejpam-6486	237	3	appl	appl	PROPN
ejpam-6486	237	4	.	.	PROPN
ejpam-6486	237	5	math	math	PROPN
ejpam-6486	237	6	,	,	PUNCT
ejpam-6486	237	7	18	18	NUM
ejpam-6486	237	8	(	(	PUNCT
ejpam-6486	237	9	3	3	NUM
ejpam-6486	237	10	)	)	PUNCT
ejpam-6486	237	11	(	(	PUNCT
ejpam-6486	237	12	2025	2025	NUM
ejpam-6486	237	13	)	)	PUNCT
ejpam-6486	237	14	,	,	PUNCT
ejpam-6486	237	15	6486	6486	NUM
ejpam-6486	237	16	12	12	NUM
ejpam-6486	237	17	of	of	ADP
ejpam-6486	237	18	18	18	NUM
ejpam-6486	237	19	hence	hence	ADV
ejpam-6486	237	20	,	,	PUNCT
ejpam-6486	237	21	s(p(ks	s(p(ks	PROPN
ejpam-6486	237	22	,	,	PUNCT
ejpam-6486	237	23	kt,ℑ),p(s	kt,ℑ),p(s	PROPN
ejpam-6486	237	24	,	,	PUNCT
ejpam-6486	237	25	t,ℑ	t,ℑ	PROPN
ejpam-6486	237	26	)	)	PUNCT
ejpam-6486	237	27	)	)	PUNCT
ejpam-6486	237	28	≥	≥	NOUN
ejpam-6486	237	29	0	0	NUM
ejpam-6486	237	30	,	,	PUNCT
ejpam-6486	237	31	confirming	confirm	VERB
ejpam-6486	237	32	that	that	SCONJ
ejpam-6486	237	33	k	k	PROPN
ejpam-6486	237	34	satisfies	satisfy	VERB
ejpam-6486	237	35	the	the	DET
ejpam-6486	237	36	contraction	contraction	NOUN
ejpam-6486	237	37	inequality	inequality	NOUN
ejpam-6486	237	38	(	(	PUNCT
ejpam-6486	237	39	1	1	NUM
ejpam-6486	237	40	)	)	PUNCT
ejpam-6486	237	41	with	with	ADP
ejpam-6486	237	42	respect	respect	NOUN
ejpam-6486	237	43	to	to	ADP
ejpam-6486	237	44	s.	s.	PROPN
ejpam-6486	237	45	by	by	ADP
ejpam-6486	237	46	theorem	theorem	NOUN
ejpam-6486	237	47	1	1	NUM
ejpam-6486	237	48	,	,	PUNCT
ejpam-6486	237	49	k	k	PROPN
ejpam-6486	237	50	has	have	AUX
ejpam-6486	237	51	at	at	ADV
ejpam-6486	237	52	least	least	ADV
ejpam-6486	237	53	one	one	NUM
ejpam-6486	237	54	fixed	fix	VERB
ejpam-6486	237	55	point	point	NOUN
ejpam-6486	237	56	in	in	ADP
ejpam-6486	237	57	e.	e.	PROPN
ejpam-6486	237	58	corollary	corollary	PROPN
ejpam-6486	238	1	2	2	PROPN
ejpam-6486	238	2	.	.	PUNCT
ejpam-6486	239	1	let	let	AUX
ejpam-6486	239	2	(	(	PUNCT
ejpam-6486	239	3	e	e	NOUN
ejpam-6486	239	4	,	,	PUNCT
ejpam-6486	239	5	p,⋏	p,⋏	NOUN
ejpam-6486	239	6	)	)	PUNCT
ejpam-6486	239	7	be	be	VERB
ejpam-6486	239	8	a	a	DET
ejpam-6486	239	9	fuzzy	fuzzy	ADJ
ejpam-6486	239	10	metric	metric	ADJ
ejpam-6486	239	11	space	space	NOUN
ejpam-6486	239	12	endowed	endow	VERB
ejpam-6486	239	13	with	with	ADP
ejpam-6486	239	14	a	a	DET
ejpam-6486	239	15	binary	binary	ADJ
ejpam-6486	239	16	relation	relation	NOUN
ejpam-6486	239	17	r	r	NOUN
ejpam-6486	239	18	,	,	PUNCT
ejpam-6486	239	19	and	and	CCONJ
ejpam-6486	239	20	let	let	VERB
ejpam-6486	239	21	k	k	NOUN
ejpam-6486	239	22	:	:	PUNCT
ejpam-6486	239	23	e	e	X
ejpam-6486	239	24	→	→	PUNCT
ejpam-6486	239	25	e	e	AUX
ejpam-6486	239	26	be	be	AUX
ejpam-6486	239	27	a	a	DET
ejpam-6486	239	28	self	self	NOUN
ejpam-6486	239	29	-	-	PUNCT
ejpam-6486	239	30	mapping	mapping	NOUN
ejpam-6486	239	31	.	.	PUNCT
ejpam-6486	240	1	suppose	suppose	VERB
ejpam-6486	240	2	the	the	DET
ejpam-6486	240	3	following	follow	VERB
ejpam-6486	240	4	conditions	condition	NOUN
ejpam-6486	240	5	are	be	AUX
ejpam-6486	240	6	satisfied	satisfied	ADJ
ejpam-6486	240	7	:	:	PUNCT
ejpam-6486	240	8	(	(	PUNCT
ejpam-6486	240	9	i	i	NOUN
ejpam-6486	240	10	)	)	PUNCT
ejpam-6486	240	11	for	for	ADP
ejpam-6486	240	12	all	all	DET
ejpam-6486	240	13	s	s	PROPN
ejpam-6486	240	14	,	,	PUNCT
ejpam-6486	240	15	t	t	PROPN
ejpam-6486	240	16	∈	∈	PROPN
ejpam-6486	240	17	e	e	X
ejpam-6486	240	18	with	with	ADP
ejpam-6486	240	19	(	(	PUNCT
ejpam-6486	240	20	s	s	PROPN
ejpam-6486	240	21	,	,	PUNCT
ejpam-6486	240	22	t	t	NOUN
ejpam-6486	240	23	)	)	PUNCT
ejpam-6486	240	24	∈	∈	PROPN
ejpam-6486	240	25	r	r	NOUN
ejpam-6486	240	26	and	and	CCONJ
ejpam-6486	240	27	for	for	ADP
ejpam-6486	240	28	each	each	DET
ejpam-6486	240	29	ℑ	ℑ	PROPN
ejpam-6486	240	30	>	>	X
ejpam-6486	240	31	0	0	NUM
ejpam-6486	240	32	,	,	PUNCT
ejpam-6486	240	33	the	the	DET
ejpam-6486	240	34	inequality	inequality	NOUN
ejpam-6486	240	35	ψ	ψ	X
ejpam-6486	240	36	(	(	PUNCT
ejpam-6486	240	37	p(s	p(s	PROPN
ejpam-6486	240	38	,	,	PUNCT
ejpam-6486	240	39	t,ℑ	t,ℑ	PROPN
ejpam-6486	240	40	)	)	PUNCT
ejpam-6486	240	41	)	)	PUNCT
ejpam-6486	240	42	≤	≤	PUNCT
ejpam-6486	240	43	p(ks	p(ks	PROPN
ejpam-6486	240	44	,	,	PUNCT
ejpam-6486	240	45	kt,ℑ	kt,ℑ	PROPN
ejpam-6486	240	46	)	)	PUNCT
ejpam-6486	240	47	holds	hold	VERB
ejpam-6486	240	48	for	for	ADP
ejpam-6486	240	49	ψ	ψ	PRON
ejpam-6486	240	50	∈	∈	PROPN
ejpam-6486	240	51	ψ	ψ	NOUN
ejpam-6486	240	52	;	;	PUNCT
ejpam-6486	240	53	(	(	PUNCT
ejpam-6486	240	54	ii	ii	NOUN
ejpam-6486	240	55	)	)	PUNCT
ejpam-6486	240	56	there	there	PRON
ejpam-6486	240	57	exists	exist	VERB
ejpam-6486	240	58	a	a	DET
ejpam-6486	240	59	subset	subset	NOUN
ejpam-6486	240	60	u	u	NOUN
ejpam-6486	240	61	⊆	⊆	NUM
ejpam-6486	240	62	e	e	NOUN
ejpam-6486	240	63	such	such	ADJ
ejpam-6486	240	64	that	that	SCONJ
ejpam-6486	240	65	k(e	k(e	PROPN
ejpam-6486	240	66	)	)	PUNCT
ejpam-6486	240	67	⊆	⊆	NUM
ejpam-6486	240	68	u	u	NOUN
ejpam-6486	240	69	and	and	CCONJ
ejpam-6486	240	70	(	(	PUNCT
ejpam-6486	240	71	u	u	NOUN
ejpam-6486	240	72	,	,	PUNCT
ejpam-6486	240	73	p,⋏	p,⋏	NOUN
ejpam-6486	240	74	)	)	PUNCT
ejpam-6486	240	75	is	be	AUX
ejpam-6486	240	76	r	r	NOUN
ejpam-6486	240	77	-	-	NOUN
ejpam-6486	240	78	complete	complete	ADJ
ejpam-6486	240	79	;	;	PUNCT
ejpam-6486	240	80	(	(	PUNCT
ejpam-6486	240	81	iii	iii	NOUN
ejpam-6486	240	82	)	)	PUNCT
ejpam-6486	240	83	e(k	e(k	NOUN
ejpam-6486	240	84	,	,	PUNCT
ejpam-6486	240	85	r	r	NOUN
ejpam-6486	240	86	)	)	PUNCT
ejpam-6486	240	87	̸=	̸=	NOUN
ejpam-6486	240	88	∅	∅	NOUN
ejpam-6486	240	89	;	;	PUNCT
ejpam-6486	240	90	(	(	PUNCT
ejpam-6486	240	91	iv	iv	X
ejpam-6486	240	92	)	)	PUNCT
ejpam-6486	240	93	the	the	DET
ejpam-6486	240	94	relation	relation	NOUN
ejpam-6486	240	95	r	r	NOUN
ejpam-6486	240	96	is	be	AUX
ejpam-6486	240	97	k	k	NOUN
ejpam-6486	240	98	-	-	ADJ
ejpam-6486	240	99	closed	closed	ADJ
ejpam-6486	240	100	and	and	CCONJ
ejpam-6486	240	101	transitive	transitive	ADJ
ejpam-6486	240	102	;	;	PUNCT
ejpam-6486	240	103	(	(	PUNCT
ejpam-6486	240	104	v	v	NOUN
ejpam-6486	240	105	)	)	PUNCT
ejpam-6486	240	106	either	either	CCONJ
ejpam-6486	240	107	r|u	r|u	PROPN
ejpam-6486	240	108	is	be	AUX
ejpam-6486	240	109	p	p	ADJ
ejpam-6486	240	110	-	-	PUNCT
ejpam-6486	240	111	self	self	NOUN
ejpam-6486	240	112	-	-	PUNCT
ejpam-6486	240	113	closed	close	VERB
ejpam-6486	240	114	or	or	CCONJ
ejpam-6486	240	115	k	k	PROPN
ejpam-6486	240	116	is	be	AUX
ejpam-6486	240	117	r	r	NOUN
ejpam-6486	240	118	-	-	PUNCT
ejpam-6486	240	119	continuous	continuous	ADJ
ejpam-6486	240	120	.	.	PUNCT
ejpam-6486	241	1	then	then	ADV
ejpam-6486	241	2	,	,	PUNCT
ejpam-6486	241	3	the	the	DET
ejpam-6486	241	4	mapping	mapping	NOUN
ejpam-6486	241	5	k	k	PROPN
ejpam-6486	241	6	has	have	VERB
ejpam-6486	241	7	a	a	DET
ejpam-6486	241	8	fixed	fix	VERB
ejpam-6486	241	9	point	point	NOUN
ejpam-6486	241	10	.	.	PUNCT
ejpam-6486	242	1	proof	proof	NOUN
ejpam-6486	242	2	.	.	PUNCT
ejpam-6486	243	1	define	define	VERB
ejpam-6486	243	2	s	s	PRON
ejpam-6486	243	3	:	:	PUNCT
ejpam-6486	243	4	(	(	PUNCT
ejpam-6486	243	5	0	0	NUM
ejpam-6486	243	6	,	,	PUNCT
ejpam-6486	243	7	1]×	1]×	NUM
ejpam-6486	243	8	(	(	PUNCT
ejpam-6486	243	9	0	0	NUM
ejpam-6486	243	10	,	,	PUNCT
ejpam-6486	243	11	1	1	NUM
ejpam-6486	243	12	]	]	PUNCT
ejpam-6486	243	13	→	→	PUNCT
ejpam-6486	243	14	r	r	NOUN
ejpam-6486	243	15	by	by	ADP
ejpam-6486	243	16	s(r	s(r	PROPN
ejpam-6486	243	17	,	,	PUNCT
ejpam-6486	243	18	b	b	NOUN
ejpam-6486	243	19	)	)	PUNCT
ejpam-6486	243	20	=	=	SYM
ejpam-6486	243	21	1	1	NUM
ejpam-6486	243	22	ψ(b	ψ(b	NOUN
ejpam-6486	243	23	)	)	PUNCT
ejpam-6486	244	1	−	−	NOUN
ejpam-6486	245	1	1	1	NUM
ejpam-6486	245	2	r	r	NOUN
ejpam-6486	245	3	,	,	PUNCT
ejpam-6486	245	4	for	for	ADP
ejpam-6486	245	5	all	all	DET
ejpam-6486	245	6	r	r	NOUN
ejpam-6486	245	7	,	,	PUNCT
ejpam-6486	245	8	b	b	NOUN
ejpam-6486	245	9	∈	∈	PROPN
ejpam-6486	245	10	(	(	PUNCT
ejpam-6486	245	11	0	0	NUM
ejpam-6486	245	12	,	,	PUNCT
ejpam-6486	245	13	1	1	NUM
ejpam-6486	245	14	]	]	PUNCT
ejpam-6486	245	15	,	,	PUNCT
ejpam-6486	245	16	where	where	SCONJ
ejpam-6486	245	17	η	η	PROPN
ejpam-6486	245	18	∈	∈	PROPN
ejpam-6486	245	19	h.	h.	PROPN
ejpam-6486	245	20	the	the	DET
ejpam-6486	245	21	result	result	NOUN
ejpam-6486	245	22	then	then	ADV
ejpam-6486	245	23	follows	follow	VERB
ejpam-6486	245	24	by	by	ADP
ejpam-6486	245	25	applying	apply	VERB
ejpam-6486	245	26	theorem	theorem	ADJ
ejpam-6486	245	27	1	1	NUM
ejpam-6486	245	28	.	.	PUNCT
ejpam-6486	245	29	corollary	corollary	ADJ
ejpam-6486	245	30	3	3	X
ejpam-6486	245	31	.	.	PUNCT
ejpam-6486	246	1	let	let	AUX
ejpam-6486	246	2	(	(	PUNCT
ejpam-6486	246	3	e	e	NOUN
ejpam-6486	246	4	,	,	PUNCT
ejpam-6486	246	5	p,⋏	p,⋏	NOUN
ejpam-6486	246	6	)	)	PUNCT
ejpam-6486	246	7	be	be	VERB
ejpam-6486	246	8	a	a	DET
ejpam-6486	246	9	fuzzy	fuzzy	ADJ
ejpam-6486	246	10	metric	metric	ADJ
ejpam-6486	246	11	space	space	NOUN
ejpam-6486	246	12	endowed	endow	VERB
ejpam-6486	246	13	with	with	ADP
ejpam-6486	246	14	a	a	DET
ejpam-6486	246	15	binary	binary	ADJ
ejpam-6486	246	16	relation	relation	NOUN
ejpam-6486	246	17	r	r	NOUN
ejpam-6486	246	18	,	,	PUNCT
ejpam-6486	246	19	and	and	CCONJ
ejpam-6486	246	20	let	let	VERB
ejpam-6486	246	21	k	k	NOUN
ejpam-6486	246	22	:	:	PUNCT
ejpam-6486	246	23	e	e	X
ejpam-6486	246	24	→	→	PUNCT
ejpam-6486	246	25	e	e	AUX
ejpam-6486	246	26	be	be	AUX
ejpam-6486	246	27	a	a	DET
ejpam-6486	246	28	self	self	NOUN
ejpam-6486	246	29	-	-	PUNCT
ejpam-6486	246	30	mapping	mapping	NOUN
ejpam-6486	246	31	.	.	PUNCT
ejpam-6486	247	1	suppose	suppose	VERB
ejpam-6486	247	2	the	the	DET
ejpam-6486	247	3	following	follow	VERB
ejpam-6486	247	4	conditions	condition	NOUN
ejpam-6486	247	5	are	be	AUX
ejpam-6486	247	6	satisfied	satisfied	ADJ
ejpam-6486	247	7	:	:	PUNCT
ejpam-6486	247	8	(	(	PUNCT
ejpam-6486	247	9	i	i	NOUN
ejpam-6486	247	10	)	)	PUNCT
ejpam-6486	247	11	for	for	ADP
ejpam-6486	247	12	all	all	DET
ejpam-6486	247	13	s	s	PROPN
ejpam-6486	247	14	,	,	PUNCT
ejpam-6486	247	15	t	t	PROPN
ejpam-6486	247	16	∈	∈	PROPN
ejpam-6486	247	17	e	e	X
ejpam-6486	247	18	with	with	ADP
ejpam-6486	247	19	(	(	PUNCT
ejpam-6486	247	20	s	s	PROPN
ejpam-6486	247	21	,	,	PUNCT
ejpam-6486	247	22	t	t	NOUN
ejpam-6486	247	23	)	)	PUNCT
ejpam-6486	247	24	∈	∈	PROPN
ejpam-6486	247	25	r	r	NOUN
ejpam-6486	247	26	and	and	CCONJ
ejpam-6486	247	27	for	for	ADP
ejpam-6486	247	28	each	each	DET
ejpam-6486	247	29	ℑ	ℑ	PROPN
ejpam-6486	247	30	>	>	X
ejpam-6486	247	31	0	0	NUM
ejpam-6486	247	32	,	,	PUNCT
ejpam-6486	247	33	the	the	DET
ejpam-6486	247	34	inequality	inequality	PROPN
ejpam-6486	247	35	η	η	PROPN
ejpam-6486	247	36	(	(	PUNCT
ejpam-6486	247	37	p(ks	p(ks	PROPN
ejpam-6486	247	38	,	,	PUNCT
ejpam-6486	247	39	kt,ℑ	kt,ℑ	PROPN
ejpam-6486	247	40	)	)	PUNCT
ejpam-6486	247	41	)	)	PUNCT
ejpam-6486	247	42	≤	≤	PUNCT
ejpam-6486	247	43	ℏ	ℏ	PROPN
ejpam-6486	247	44	·	·	PUNCT
ejpam-6486	247	45	η	η	PROPN
ejpam-6486	247	46	(	(	PUNCT
ejpam-6486	247	47	p(s	p(s	PROPN
ejpam-6486	247	48	,	,	PUNCT
ejpam-6486	247	49	t,ℑ	t,ℑ	PROPN
ejpam-6486	247	50	)	)	PUNCT
ejpam-6486	247	51	)	)	PUNCT
ejpam-6486	247	52	holds	hold	VERB
ejpam-6486	247	53	for	for	ADP
ejpam-6486	247	54	some	some	DET
ejpam-6486	247	55	ℏ	ℏ	NOUN
ejpam-6486	247	56	∈	∈	PROPN
ejpam-6486	247	57	(	(	PUNCT
ejpam-6486	247	58	0	0	NUM
ejpam-6486	247	59	,	,	PUNCT
ejpam-6486	247	60	1	1	NUM
ejpam-6486	247	61	)	)	PUNCT
ejpam-6486	247	62	and	and	CCONJ
ejpam-6486	247	63	a	a	DET
ejpam-6486	247	64	function	function	NOUN
ejpam-6486	247	65	η	η	PROPN
ejpam-6486	247	66	∈	∈	PROPN
ejpam-6486	247	67	h	h	NOUN
ejpam-6486	247	68	;	;	PUNCT
ejpam-6486	247	69	(	(	PUNCT
ejpam-6486	247	70	ii	ii	NOUN
ejpam-6486	247	71	)	)	PUNCT
ejpam-6486	247	72	there	there	PRON
ejpam-6486	247	73	exists	exist	VERB
ejpam-6486	247	74	a	a	DET
ejpam-6486	247	75	subset	subset	NOUN
ejpam-6486	247	76	u	u	NOUN
ejpam-6486	247	77	⊆	⊆	NUM
ejpam-6486	247	78	e	e	NOUN
ejpam-6486	247	79	such	such	ADJ
ejpam-6486	247	80	that	that	SCONJ
ejpam-6486	247	81	k(e	k(e	PROPN
ejpam-6486	247	82	)	)	PUNCT
ejpam-6486	247	83	⊆	⊆	NUM
ejpam-6486	247	84	u	u	NOUN
ejpam-6486	247	85	and	and	CCONJ
ejpam-6486	247	86	(	(	PUNCT
ejpam-6486	247	87	u	u	NOUN
ejpam-6486	247	88	,	,	PUNCT
ejpam-6486	247	89	p,⋏	p,⋏	NOUN
ejpam-6486	247	90	)	)	PUNCT
ejpam-6486	247	91	is	be	AUX
ejpam-6486	247	92	r	r	NOUN
ejpam-6486	247	93	-	-	NOUN
ejpam-6486	247	94	complete	complete	ADJ
ejpam-6486	247	95	;	;	PUNCT
ejpam-6486	247	96	(	(	PUNCT
ejpam-6486	247	97	iii	iii	NOUN
ejpam-6486	247	98	)	)	PUNCT
ejpam-6486	247	99	e(k	e(k	NOUN
ejpam-6486	247	100	,	,	PUNCT
ejpam-6486	247	101	r	r	NOUN
ejpam-6486	247	102	)	)	PUNCT
ejpam-6486	247	103	̸=	̸=	NOUN
ejpam-6486	247	104	∅	∅	NOUN
ejpam-6486	247	105	;	;	PUNCT
ejpam-6486	247	106	(	(	PUNCT
ejpam-6486	247	107	iv	iv	X
ejpam-6486	247	108	)	)	PUNCT
ejpam-6486	247	109	the	the	DET
ejpam-6486	247	110	relation	relation	NOUN
ejpam-6486	247	111	r	r	NOUN
ejpam-6486	247	112	is	be	AUX
ejpam-6486	247	113	k	k	NOUN
ejpam-6486	247	114	-	-	ADJ
ejpam-6486	247	115	closed	closed	ADJ
ejpam-6486	247	116	and	and	CCONJ
ejpam-6486	247	117	transitive	transitive	ADJ
ejpam-6486	247	118	;	;	PUNCT
ejpam-6486	247	119	(	(	PUNCT
ejpam-6486	247	120	v	v	NOUN
ejpam-6486	247	121	)	)	PUNCT
ejpam-6486	247	122	either	either	CCONJ
ejpam-6486	247	123	r|u	r|u	PROPN
ejpam-6486	247	124	is	be	AUX
ejpam-6486	247	125	p	p	ADJ
ejpam-6486	247	126	-	-	PUNCT
ejpam-6486	247	127	self	self	NOUN
ejpam-6486	247	128	-	-	PUNCT
ejpam-6486	247	129	closed	close	VERB
ejpam-6486	247	130	or	or	CCONJ
ejpam-6486	247	131	k	k	PROPN
ejpam-6486	247	132	is	be	AUX
ejpam-6486	247	133	r	r	NOUN
ejpam-6486	247	134	-	-	PUNCT
ejpam-6486	247	135	continuous	continuous	ADJ
ejpam-6486	247	136	.	.	PUNCT
ejpam-6486	248	1	then	then	ADV
ejpam-6486	248	2	,	,	PUNCT
ejpam-6486	248	3	the	the	DET
ejpam-6486	248	4	mapping	mapping	NOUN
ejpam-6486	248	5	k	k	PROPN
ejpam-6486	248	6	has	have	VERB
ejpam-6486	248	7	a	a	DET
ejpam-6486	248	8	fixed	fix	VERB
ejpam-6486	248	9	point	point	NOUN
ejpam-6486	248	10	.	.	PUNCT
ejpam-6486	249	1	a.	a.	NOUN
ejpam-6486	249	2	moussaoui	moussaoui	NOUN
ejpam-6486	249	3	,	,	PUNCT
ejpam-6486	249	4	m.	m.	NOUN
ejpam-6486	249	5	pantović	pantović	NOUN
ejpam-6486	249	6	,	,	PUNCT
ejpam-6486	249	7	s.	s.	PROPN
ejpam-6486	249	8	radenović	radenović	PROPN
ejpam-6486	249	9	/	/	SYM
ejpam-6486	249	10	eur	eur	PROPN
ejpam-6486	249	11	.	.	PUNCT
ejpam-6486	250	1	j.	j.	PROPN
ejpam-6486	250	2	pure	pure	PROPN
ejpam-6486	250	3	appl	appl	PROPN
ejpam-6486	250	4	.	.	PROPN
ejpam-6486	250	5	math	math	PROPN
ejpam-6486	250	6	,	,	PUNCT
ejpam-6486	250	7	18	18	NUM
ejpam-6486	250	8	(	(	PUNCT
ejpam-6486	250	9	3	3	NUM
ejpam-6486	250	10	)	)	PUNCT
ejpam-6486	250	11	(	(	PUNCT
ejpam-6486	250	12	2025	2025	NUM
ejpam-6486	250	13	)	)	PUNCT
ejpam-6486	250	14	,	,	PUNCT
ejpam-6486	250	15	6486	6486	NUM
ejpam-6486	250	16	13	13	NUM
ejpam-6486	250	17	of	of	ADP
ejpam-6486	250	18	18	18	NUM
ejpam-6486	250	19	proof	proof	NOUN
ejpam-6486	250	20	.	.	PUNCT
ejpam-6486	251	1	define	define	VERB
ejpam-6486	251	2	s	s	PRON
ejpam-6486	251	3	:	:	PUNCT
ejpam-6486	251	4	(	(	PUNCT
ejpam-6486	251	5	0	0	NUM
ejpam-6486	251	6	,	,	PUNCT
ejpam-6486	251	7	1]×	1]×	NUM
ejpam-6486	251	8	(	(	PUNCT
ejpam-6486	251	9	0	0	NUM
ejpam-6486	251	10	,	,	PUNCT
ejpam-6486	251	11	1	1	NUM
ejpam-6486	251	12	]	]	PUNCT
ejpam-6486	251	13	→	→	PUNCT
ejpam-6486	251	14	r	r	NOUN
ejpam-6486	251	15	by	by	ADP
ejpam-6486	251	16	s(r	s(r	PROPN
ejpam-6486	251	17	,	,	PUNCT
ejpam-6486	251	18	b	b	NOUN
ejpam-6486	251	19	)	)	PUNCT
ejpam-6486	251	20	=	=	SYM
ejpam-6486	251	21	1	1	NUM
ejpam-6486	251	22	η−1(ℏ	η−1(ℏ	NOUN
ejpam-6486	251	23	·	·	PUNCT
ejpam-6486	251	24	η(b	η(b	NOUN
ejpam-6486	251	25	)	)	PUNCT
ejpam-6486	251	26	)	)	PUNCT
ejpam-6486	251	27	−	−	NOUN
ejpam-6486	252	1	1	1	NUM
ejpam-6486	252	2	r	r	NOUN
ejpam-6486	252	3	,	,	PUNCT
ejpam-6486	252	4	for	for	ADP
ejpam-6486	252	5	all	all	DET
ejpam-6486	252	6	r	r	NOUN
ejpam-6486	252	7	,	,	PUNCT
ejpam-6486	252	8	b	b	NOUN
ejpam-6486	252	9	∈	∈	PROPN
ejpam-6486	252	10	(	(	PUNCT
ejpam-6486	252	11	0	0	NUM
ejpam-6486	252	12	,	,	PUNCT
ejpam-6486	252	13	1	1	NUM
ejpam-6486	252	14	]	]	PUNCT
ejpam-6486	252	15	,	,	PUNCT
ejpam-6486	252	16	where	where	SCONJ
ejpam-6486	252	17	η	η	PROPN
ejpam-6486	252	18	∈	∈	PROPN
ejpam-6486	252	19	h.	h.	PROPN
ejpam-6486	252	20	the	the	DET
ejpam-6486	252	21	result	result	NOUN
ejpam-6486	252	22	then	then	ADV
ejpam-6486	252	23	follows	follow	VERB
ejpam-6486	252	24	by	by	ADP
ejpam-6486	252	25	applying	apply	VERB
ejpam-6486	252	26	theorem	theorem	ADJ
ejpam-6486	252	27	1	1	NUM
ejpam-6486	252	28	.	.	PUNCT
ejpam-6486	252	29	corollary	corollary	ADJ
ejpam-6486	252	30	4	4	NUM
ejpam-6486	252	31	.	.	PUNCT
ejpam-6486	253	1	if	if	SCONJ
ejpam-6486	253	2	the	the	DET
ejpam-6486	253	3	r	r	NOUN
ejpam-6486	253	4	-	-	PUNCT
ejpam-6486	253	5	completeness	completeness	NOUN
ejpam-6486	253	6	of	of	ADP
ejpam-6486	253	7	the	the	DET
ejpam-6486	253	8	subset	subset	NOUN
ejpam-6486	253	9	u	u	NOUN
ejpam-6486	253	10	is	be	AUX
ejpam-6486	253	11	replaced	replace	VERB
ejpam-6486	253	12	by	by	ADP
ejpam-6486	253	13	the	the	DET
ejpam-6486	253	14	completeness	completeness	NOUN
ejpam-6486	253	15	of	of	ADP
ejpam-6486	253	16	e	e	NOUN
ejpam-6486	253	17	,	,	PUNCT
ejpam-6486	253	18	and	and	CCONJ
ejpam-6486	253	19	the	the	DET
ejpam-6486	253	20	r	r	NOUN
ejpam-6486	253	21	-	-	PUNCT
ejpam-6486	253	22	continuity	continuity	NOUN
ejpam-6486	253	23	of	of	ADP
ejpam-6486	253	24	k	k	PROPN
ejpam-6486	253	25	is	be	AUX
ejpam-6486	253	26	replaced	replace	VERB
ejpam-6486	253	27	by	by	ADP
ejpam-6486	253	28	standard	standard	ADJ
ejpam-6486	253	29	continuity	continuity	NOUN
ejpam-6486	253	30	,	,	PUNCT
ejpam-6486	253	31	then	then	ADV
ejpam-6486	253	32	the	the	DET
ejpam-6486	253	33	conclusion	conclusion	NOUN
ejpam-6486	253	34	of	of	ADP
ejpam-6486	253	35	theorem	theorem	ADJ
ejpam-6486	253	36	1	1	NUM
ejpam-6486	253	37	remains	remain	VERB
ejpam-6486	253	38	valid	valid	ADJ
ejpam-6486	253	39	.	.	PUNCT
ejpam-6486	254	1	proof	proof	NOUN
ejpam-6486	254	2	.	.	PUNCT
ejpam-6486	255	1	the	the	DET
ejpam-6486	255	2	assertion	assertion	NOUN
ejpam-6486	255	3	follows	follow	VERB
ejpam-6486	255	4	immediately	immediately	ADV
ejpam-6486	255	5	from	from	ADP
ejpam-6486	255	6	remark	remark	NOUN
ejpam-6486	255	7	2	2	NUM
ejpam-6486	255	8	and	and	CCONJ
ejpam-6486	255	9	remark	remark	NOUN
ejpam-6486	255	10	3	3	NUM
ejpam-6486	255	11	.	.	PUNCT
ejpam-6486	255	12	corollary	corollary	ADJ
ejpam-6486	255	13	5	5	NUM
ejpam-6486	255	14	.	.	PUNCT
ejpam-6486	256	1	let	let	AUX
ejpam-6486	256	2	(	(	PUNCT
ejpam-6486	256	3	e	e	NOUN
ejpam-6486	256	4	,	,	PUNCT
ejpam-6486	256	5	p,⋏	p,⋏	NOUN
ejpam-6486	256	6	)	)	PUNCT
ejpam-6486	256	7	be	be	VERB
ejpam-6486	256	8	a	a	DET
ejpam-6486	256	9	fuzzy	fuzzy	ADJ
ejpam-6486	256	10	metric	metric	ADJ
ejpam-6486	256	11	space	space	NOUN
ejpam-6486	256	12	equipped	equip	VERB
ejpam-6486	256	13	with	with	ADP
ejpam-6486	256	14	a	a	DET
ejpam-6486	256	15	binary	binary	ADJ
ejpam-6486	256	16	relation	relation	NOUN
ejpam-6486	256	17	r	r	NOUN
ejpam-6486	256	18	,	,	PUNCT
ejpam-6486	256	19	and	and	CCONJ
ejpam-6486	256	20	let	let	VERB
ejpam-6486	256	21	k	k	NOUN
ejpam-6486	256	22	:	:	PUNCT
ejpam-6486	256	23	e	e	X
ejpam-6486	256	24	→	→	PUNCT
ejpam-6486	256	25	e	e	AUX
ejpam-6486	256	26	be	be	AUX
ejpam-6486	256	27	a	a	DET
ejpam-6486	256	28	self	self	NOUN
ejpam-6486	256	29	-	-	PUNCT
ejpam-6486	256	30	mapping	mapping	NOUN
ejpam-6486	256	31	.	.	PUNCT
ejpam-6486	257	1	suppose	suppose	VERB
ejpam-6486	257	2	the	the	DET
ejpam-6486	257	3	following	follow	VERB
ejpam-6486	257	4	conditions	condition	NOUN
ejpam-6486	257	5	hold	hold	VERB
ejpam-6486	257	6	:	:	PUNCT
ejpam-6486	257	7	(	(	PUNCT
ejpam-6486	257	8	i	i	NOUN
ejpam-6486	257	9	)	)	PUNCT
ejpam-6486	257	10	for	for	ADP
ejpam-6486	257	11	all	all	DET
ejpam-6486	257	12	s	s	PROPN
ejpam-6486	257	13	,	,	PUNCT
ejpam-6486	257	14	t	t	PROPN
ejpam-6486	257	15	∈	∈	PROPN
ejpam-6486	257	16	e	e	X
ejpam-6486	257	17	with	with	ADP
ejpam-6486	257	18	(	(	PUNCT
ejpam-6486	257	19	s	s	PROPN
ejpam-6486	257	20	,	,	PUNCT
ejpam-6486	257	21	t	t	NOUN
ejpam-6486	257	22	)	)	PUNCT
ejpam-6486	257	23	∈	∈	PROPN
ejpam-6486	257	24	r	r	NOUN
ejpam-6486	257	25	and	and	CCONJ
ejpam-6486	257	26	for	for	ADP
ejpam-6486	257	27	every	every	DET
ejpam-6486	257	28	ℑ	ℑ	PROPN
ejpam-6486	257	29	>	>	X
ejpam-6486	257	30	0	0	NUM
ejpam-6486	257	31	,	,	PUNCT
ejpam-6486	257	32	1	1	NUM
ejpam-6486	257	33	p(ks	p(ks	NUM
ejpam-6486	257	34	,	,	PUNCT
ejpam-6486	257	35	kt,ℑ	kt,ℑ	PROPN
ejpam-6486	257	36	)	)	PUNCT
ejpam-6486	257	37	−	−	PROPN
ejpam-6486	258	1	1	1	NUM
ejpam-6486	258	2	≤	≤	PROPN
ejpam-6486	258	3	ℏ	ℏ	PROPN
ejpam-6486	258	4	(	(	PUNCT
ejpam-6486	258	5	1	1	NUM
ejpam-6486	258	6	p(s	p(s	NOUN
ejpam-6486	258	7	,	,	PUNCT
ejpam-6486	258	8	t,ℑ	t,ℑ	PROPN
ejpam-6486	258	9	)	)	PUNCT
ejpam-6486	258	10	−	−	PROPN
ejpam-6486	258	11	1	1	NUM
ejpam-6486	258	12	)	)	PUNCT
ejpam-6486	258	13	,	,	PUNCT
ejpam-6486	258	14	for	for	ADP
ejpam-6486	258	15	some	some	DET
ejpam-6486	258	16	constant	constant	ADJ
ejpam-6486	258	17	ℏ	ℏ	PROPN
ejpam-6486	258	18	∈	∈	PROPN
ejpam-6486	258	19	(	(	PUNCT
ejpam-6486	258	20	0	0	NUM
ejpam-6486	258	21	,	,	PUNCT
ejpam-6486	258	22	1	1	NUM
ejpam-6486	258	23	)	)	PUNCT
ejpam-6486	258	24	;	;	PUNCT
ejpam-6486	258	25	(	(	PUNCT
ejpam-6486	258	26	ii	ii	NOUN
ejpam-6486	258	27	)	)	PUNCT
ejpam-6486	258	28	there	there	PRON
ejpam-6486	258	29	exists	exist	VERB
ejpam-6486	258	30	a	a	DET
ejpam-6486	258	31	subset	subset	NOUN
ejpam-6486	258	32	u	u	NOUN
ejpam-6486	258	33	⊆	⊆	NUM
ejpam-6486	258	34	e	e	NOUN
ejpam-6486	258	35	such	such	ADJ
ejpam-6486	258	36	that	that	SCONJ
ejpam-6486	258	37	k(e	k(e	PROPN
ejpam-6486	258	38	)	)	PUNCT
ejpam-6486	258	39	⊆	⊆	NUM
ejpam-6486	258	40	u	u	NOUN
ejpam-6486	258	41	and	and	CCONJ
ejpam-6486	258	42	(	(	PUNCT
ejpam-6486	258	43	u	u	NOUN
ejpam-6486	258	44	,	,	PUNCT
ejpam-6486	258	45	p,⋏	p,⋏	NOUN
ejpam-6486	258	46	)	)	PUNCT
ejpam-6486	258	47	is	be	AUX
ejpam-6486	258	48	r	r	NOUN
ejpam-6486	258	49	-	-	NOUN
ejpam-6486	258	50	complete	complete	ADJ
ejpam-6486	258	51	;	;	PUNCT
ejpam-6486	258	52	(	(	PUNCT
ejpam-6486	258	53	iii	iii	NOUN
ejpam-6486	258	54	)	)	PUNCT
ejpam-6486	258	55	e(k	e(k	NOUN
ejpam-6486	258	56	,	,	PUNCT
ejpam-6486	258	57	r	r	NOUN
ejpam-6486	258	58	)	)	PUNCT
ejpam-6486	258	59	̸=	̸=	NOUN
ejpam-6486	258	60	∅	∅	NOUN
ejpam-6486	258	61	;	;	PUNCT
ejpam-6486	258	62	(	(	PUNCT
ejpam-6486	258	63	iv	iv	X
ejpam-6486	258	64	)	)	PUNCT
ejpam-6486	258	65	the	the	DET
ejpam-6486	258	66	relation	relation	NOUN
ejpam-6486	258	67	r	r	NOUN
ejpam-6486	258	68	is	be	AUX
ejpam-6486	258	69	both	both	PRON
ejpam-6486	258	70	k	k	ADV
ejpam-6486	258	71	-	-	ADJ
ejpam-6486	258	72	closed	closed	ADJ
ejpam-6486	258	73	and	and	CCONJ
ejpam-6486	258	74	transitive	transitive	ADJ
ejpam-6486	258	75	;	;	PUNCT
ejpam-6486	258	76	(	(	PUNCT
ejpam-6486	258	77	v	v	NOUN
ejpam-6486	258	78	)	)	PUNCT
ejpam-6486	258	79	either	either	CCONJ
ejpam-6486	258	80	r|u	r|u	PROPN
ejpam-6486	258	81	is	be	AUX
ejpam-6486	258	82	p	p	ADJ
ejpam-6486	258	83	-	-	PUNCT
ejpam-6486	258	84	self	self	NOUN
ejpam-6486	258	85	-	-	PUNCT
ejpam-6486	258	86	closed	close	VERB
ejpam-6486	258	87	or	or	CCONJ
ejpam-6486	258	88	k	k	PROPN
ejpam-6486	258	89	is	be	AUX
ejpam-6486	258	90	r	r	NOUN
ejpam-6486	258	91	-	-	PUNCT
ejpam-6486	258	92	continuous	continuous	ADJ
ejpam-6486	258	93	.	.	PUNCT
ejpam-6486	259	1	then	then	ADV
ejpam-6486	259	2	the	the	DET
ejpam-6486	259	3	mapping	mapping	NOUN
ejpam-6486	259	4	k	k	PROPN
ejpam-6486	259	5	admits	admit	VERB
ejpam-6486	259	6	a	a	DET
ejpam-6486	259	7	fixed	fixed	ADJ
ejpam-6486	259	8	point	point	NOUN
ejpam-6486	259	9	.	.	PUNCT
ejpam-6486	260	1	proof	proof	NOUN
ejpam-6486	260	2	.	.	PUNCT
ejpam-6486	261	1	the	the	DET
ejpam-6486	261	2	result	result	NOUN
ejpam-6486	261	3	follows	follow	VERB
ejpam-6486	261	4	by	by	ADP
ejpam-6486	261	5	defining	define	VERB
ejpam-6486	261	6	s	s	PRON
ejpam-6486	261	7	:	:	PUNCT
ejpam-6486	261	8	(	(	PUNCT
ejpam-6486	261	9	0	0	NUM
ejpam-6486	261	10	,	,	PUNCT
ejpam-6486	261	11	1]×	1]×	NUM
ejpam-6486	261	12	(	(	PUNCT
ejpam-6486	261	13	0	0	NUM
ejpam-6486	261	14	,	,	PUNCT
ejpam-6486	261	15	1	1	NUM
ejpam-6486	261	16	]	]	PUNCT
ejpam-6486	261	17	→	→	PUNCT
ejpam-6486	261	18	r	r	NOUN
ejpam-6486	261	19	as	as	ADP
ejpam-6486	261	20	s(r	s(r	PROPN
ejpam-6486	261	21	,	,	PUNCT
ejpam-6486	261	22	b	b	NOUN
ejpam-6486	261	23	)	)	PUNCT
ejpam-6486	261	24	=	=	SYM
ejpam-6486	261	25	ℏ	ℏ	PROPN
ejpam-6486	261	26	(	(	PUNCT
ejpam-6486	261	27	1	1	NUM
ejpam-6486	261	28	b	b	X
ejpam-6486	261	29	−	−	NOUN
ejpam-6486	261	30	1	1	NUM
ejpam-6486	261	31	)	)	PUNCT
ejpam-6486	261	32	−	−	NOUN
ejpam-6486	261	33	1	1	NUM
ejpam-6486	261	34	r	r	NOUN
ejpam-6486	261	35	+	+	NOUN
ejpam-6486	261	36	1	1	NUM
ejpam-6486	261	37	for	for	ADP
ejpam-6486	261	38	all	all	DET
ejpam-6486	261	39	r	r	NOUN
ejpam-6486	261	40	,	,	PUNCT
ejpam-6486	261	41	b	b	NOUN
ejpam-6486	261	42	∈	∈	PROPN
ejpam-6486	261	43	(	(	PUNCT
ejpam-6486	261	44	0	0	NUM
ejpam-6486	261	45	,	,	PUNCT
ejpam-6486	261	46	1	1	NUM
ejpam-6486	261	47	]	]	PUNCT
ejpam-6486	261	48	,	,	PUNCT
ejpam-6486	261	49	and	and	CCONJ
ejpam-6486	261	50	applying	apply	VERB
ejpam-6486	261	51	theorem	theorem	NOUN
ejpam-6486	261	52	1	1	NUM
ejpam-6486	261	53	.	.	PUNCT
ejpam-6486	261	54	application	application	NOUN
ejpam-6486	261	55	we	we	PRON
ejpam-6486	261	56	solve	solve	VERB
ejpam-6486	261	57	an	an	DET
ejpam-6486	261	58	integral	integral	ADJ
ejpam-6486	261	59	equation	equation	NOUN
ejpam-6486	261	60	under	under	ADP
ejpam-6486	261	61	a	a	DET
ejpam-6486	261	62	given	give	VERB
ejpam-6486	261	63	binary	binary	ADJ
ejpam-6486	261	64	relation	relation	NOUN
ejpam-6486	261	65	by	by	ADP
ejpam-6486	261	66	applying	apply	VERB
ejpam-6486	261	67	theorem	theorem	NOUN
ejpam-6486	261	68	1	1	X
ejpam-6486	261	69	.	.	PUNCT
ejpam-6486	261	70	consider	consider	VERB
ejpam-6486	261	71	the	the	DET
ejpam-6486	261	72	integral	integral	ADJ
ejpam-6486	261	73	equation	equation	NOUN
ejpam-6486	261	74	δ(ℓ	δ(ℓ	NOUN
ejpam-6486	261	75	)	)	PUNCT
ejpam-6486	262	1	=	=	SYM
ejpam-6486	262	2	r(ℓ	r(ℓ	PROPN
ejpam-6486	262	3	)	)	PUNCT
ejpam-6486	263	1	+	+	NUM
ejpam-6486	263	2	β	β	X
ejpam-6486	263	3	∫	∫	PROPN
ejpam-6486	263	4	v	v	NUM
ejpam-6486	263	5	u	u	PROPN
ejpam-6486	263	6	h(e	h(e	PROPN
ejpam-6486	263	7	,	,	PUNCT
ejpam-6486	263	8	ℓ	ℓ	NOUN
ejpam-6486	263	9	)	)	PUNCT
ejpam-6486	263	10	g	g	PROPN
ejpam-6486	263	11	(	(	PUNCT
ejpam-6486	263	12	e	e	NOUN
ejpam-6486	263	13	,	,	PUNCT
ejpam-6486	263	14	δ(e	δ(e	NOUN
ejpam-6486	263	15	)	)	PUNCT
ejpam-6486	263	16	)	)	PUNCT
ejpam-6486	264	1	de	de	PROPN
ejpam-6486	264	2	,	,	PUNCT
ejpam-6486	264	3	ℓ	ℓ	PROPN
ejpam-6486	264	4	∈	∈	PROPN
ejpam-6486	264	5	j	j	NOUN
ejpam-6486	264	6	:	:	PUNCT
ejpam-6486	264	7	=	=	PUNCT
ejpam-6486	265	1	[	[	X
ejpam-6486	265	2	u	u	NOUN
ejpam-6486	265	3	,	,	PUNCT
ejpam-6486	265	4	v	v	ADP
ejpam-6486	265	5	]	]	PUNCT
ejpam-6486	265	6	,	,	PUNCT
ejpam-6486	265	7	(	(	PUNCT
ejpam-6486	265	8	7	7	X
ejpam-6486	265	9	)	)	PUNCT
ejpam-6486	265	10	where	where	SCONJ
ejpam-6486	265	11	δ	δ	PROPN
ejpam-6486	265	12	is	be	AUX
ejpam-6486	265	13	an	an	DET
ejpam-6486	265	14	arbitrary	arbitrary	ADJ
ejpam-6486	265	15	function	function	NOUN
ejpam-6486	265	16	defined	define	VERB
ejpam-6486	265	17	on	on	ADP
ejpam-6486	265	18	the	the	DET
ejpam-6486	265	19	interval	interval	NOUN
ejpam-6486	265	20	j	j	PROPN
ejpam-6486	265	21	=	=	PUNCT
ejpam-6486	266	1	[	[	X
ejpam-6486	266	2	u	u	NOUN
ejpam-6486	266	3	,	,	PUNCT
ejpam-6486	266	4	v	v	ADP
ejpam-6486	266	5	]	]	PUNCT
ejpam-6486	266	6	,	,	PUNCT
ejpam-6486	266	7	r	r	NOUN
ejpam-6486	266	8	:	:	PUNCT
ejpam-6486	266	9	j	j	PROPN
ejpam-6486	266	10	→	→	SYM
ejpam-6486	266	11	r	r	NOUN
ejpam-6486	266	12	,	,	PUNCT
ejpam-6486	266	13	h	h	NOUN
ejpam-6486	266	14	:	:	PUNCT
ejpam-6486	266	15	j×j	j×j	VERB
ejpam-6486	266	16	→	→	SYM
ejpam-6486	266	17	r	r	NOUN
ejpam-6486	266	18	,	,	PUNCT
ejpam-6486	266	19	g	g	NOUN
ejpam-6486	266	20	:	:	PUNCT
ejpam-6486	266	21	j	j	PROPN
ejpam-6486	266	22	×	×	NOUN
ejpam-6486	266	23	r	r	NOUN
ejpam-6486	266	24	→	→	SYM
ejpam-6486	266	25	r	r	NOUN
ejpam-6486	266	26	,	,	PUNCT
ejpam-6486	266	27	β	β	X
ejpam-6486	266	28	>	>	X
ejpam-6486	266	29	0	0	PUNCT
ejpam-6486	266	30	is	be	AUX
ejpam-6486	266	31	a	a	DET
ejpam-6486	266	32	positive	positive	ADJ
ejpam-6486	266	33	parameter	parameter	NOUN
ejpam-6486	266	34	,	,	PUNCT
ejpam-6486	266	35	and	and	CCONJ
ejpam-6486	266	36	e	e	NOUN
ejpam-6486	266	37	:	:	PUNCT
ejpam-6486	266	38	=	=	SYM
ejpam-6486	266	39	c(j	c(j	PROPN
ejpam-6486	266	40	,	,	PUNCT
ejpam-6486	266	41	r	r	NOUN
ejpam-6486	266	42	)	)	PUNCT
ejpam-6486	266	43	denotes	denote	VERB
ejpam-6486	266	44	the	the	DET
ejpam-6486	266	45	space	space	NOUN
ejpam-6486	266	46	of	of	ADP
ejpam-6486	266	47	all	all	DET
ejpam-6486	266	48	continuous	continuous	ADJ
ejpam-6486	266	49	functions	function	NOUN
ejpam-6486	266	50	from	from	ADP
ejpam-6486	266	51	j	j	PROPN
ejpam-6486	266	52	to	to	PART
ejpam-6486	266	53	r.	r.	AUX
ejpam-6486	266	54	define	define	VERB
ejpam-6486	266	55	θ	θ	PROPN
ejpam-6486	266	56	as	as	ADP
ejpam-6486	266	57	the	the	DET
ejpam-6486	266	58	class	class	NOUN
ejpam-6486	266	59	of	of	ADP
ejpam-6486	266	60	all	all	DET
ejpam-6486	266	61	mappings	mapping	NOUN
ejpam-6486	267	1	θ	θ	NOUN
ejpam-6486	267	2	:	:	PUNCT
ejpam-6486	268	1	[	[	X
ejpam-6486	268	2	0,+∞	0,+∞	NUM
ejpam-6486	268	3	)	)	PUNCT
ejpam-6486	268	4	→	→	PUNCT
ejpam-6486	269	1	[	[	X
ejpam-6486	269	2	0,+∞	0,+∞	NUM
ejpam-6486	269	3	)	)	PUNCT
ejpam-6486	269	4	satisfying	satisfying	NOUN
ejpam-6486	269	5	:	:	PUNCT
ejpam-6486	269	6	a.	a.	NOUN
ejpam-6486	269	7	moussaoui	moussaoui	NOUN
ejpam-6486	269	8	,	,	PUNCT
ejpam-6486	269	9	m.	m.	NOUN
ejpam-6486	269	10	pantović	pantović	NOUN
ejpam-6486	269	11	,	,	PUNCT
ejpam-6486	269	12	s.	s.	PROPN
ejpam-6486	269	13	radenović	radenović	PROPN
ejpam-6486	269	14	/	/	SYM
ejpam-6486	269	15	eur	eur	PROPN
ejpam-6486	269	16	.	.	PUNCT
ejpam-6486	270	1	j.	j.	PROPN
ejpam-6486	270	2	pure	pure	PROPN
ejpam-6486	270	3	appl	appl	PROPN
ejpam-6486	270	4	.	.	PROPN
ejpam-6486	270	5	math	math	PROPN
ejpam-6486	270	6	,	,	PUNCT
ejpam-6486	270	7	18	18	NUM
ejpam-6486	270	8	(	(	PUNCT
ejpam-6486	270	9	3	3	NUM
ejpam-6486	270	10	)	)	PUNCT
ejpam-6486	270	11	(	(	PUNCT
ejpam-6486	270	12	2025	2025	NUM
ejpam-6486	270	13	)	)	PUNCT
ejpam-6486	270	14	,	,	PUNCT
ejpam-6486	270	15	6486	6486	NUM
ejpam-6486	270	16	14	14	NUM
ejpam-6486	270	17	of	of	ADP
ejpam-6486	270	18	18	18	NUM
ejpam-6486	270	19	(	(	PUNCT
ejpam-6486	270	20	i	i	NOUN
ejpam-6486	270	21	)	)	PUNCT
ejpam-6486	270	22	θ	θ	PROPN
ejpam-6486	270	23	is	be	AUX
ejpam-6486	270	24	non	non	ADJ
ejpam-6486	270	25	-	-	ADJ
ejpam-6486	270	26	decreasing	decrease	VERB
ejpam-6486	270	27	;	;	PUNCT
ejpam-6486	270	28	(	(	PUNCT
ejpam-6486	270	29	ii	ii	NOUN
ejpam-6486	270	30	)	)	PUNCT
ejpam-6486	270	31	for	for	ADP
ejpam-6486	270	32	every	every	DET
ejpam-6486	270	33	z	z	PROPN
ejpam-6486	270	34	≥	≥	NOUN
ejpam-6486	270	35	0	0	NUM
ejpam-6486	270	36	,	,	PUNCT
ejpam-6486	270	37	θ(z	θ(z	NOUN
ejpam-6486	270	38	)	)	PUNCT
ejpam-6486	270	39	≤	≤	NOUN
ejpam-6486	270	40	z.	z.	PROPN
ejpam-6486	270	41	consider	consider	VERB
ejpam-6486	270	42	the	the	DET
ejpam-6486	270	43	space	space	NOUN
ejpam-6486	270	44	e	e	NOUN
ejpam-6486	270	45	=	=	PROPN
ejpam-6486	270	46	c(j	c(j	PROPN
ejpam-6486	270	47	,	,	PUNCT
ejpam-6486	270	48	r	r	NOUN
ejpam-6486	270	49	)	)	PUNCT
ejpam-6486	270	50	of	of	ADP
ejpam-6486	270	51	continuous	continuous	ADJ
ejpam-6486	270	52	functions	function	NOUN
ejpam-6486	270	53	on	on	ADP
ejpam-6486	270	54	j	j	PROPN
ejpam-6486	270	55	,	,	PUNCT
ejpam-6486	270	56	equipped	equip	VERB
ejpam-6486	270	57	with	with	ADP
ejpam-6486	270	58	the	the	DET
ejpam-6486	270	59	supremum	supremum	ADJ
ejpam-6486	270	60	metric	metric	ADJ
ejpam-6486	270	61	d(δ	d(δ	PROPN
ejpam-6486	270	62	,	,	PUNCT
ejpam-6486	270	63	z	z	NOUN
ejpam-6486	270	64	)	)	PUNCT
ejpam-6486	270	65	=	=	SYM
ejpam-6486	270	66	sup	sup	NOUN
ejpam-6486	270	67	ℓ∈j	ℓ∈j	NOUN
ejpam-6486	270	68	|δ(ℓ)−	|δ(ℓ)−	ADJ
ejpam-6486	270	69	z(ℓ)|	z(ℓ)|	X
ejpam-6486	270	70	.	.	PUNCT
ejpam-6486	271	1	define	define	VERB
ejpam-6486	271	2	the	the	DET
ejpam-6486	271	3	fuzzy	fuzzy	ADJ
ejpam-6486	271	4	metric	metric	ADJ
ejpam-6486	271	5	function	function	NOUN
ejpam-6486	271	6	p	p	NOUN
ejpam-6486	271	7	:	:	PUNCT
ejpam-6486	271	8	e	e	X
ejpam-6486	271	9	×	×	NOUN
ejpam-6486	271	10	e	e	X
ejpam-6486	271	11	×	×	PROPN
ejpam-6486	271	12	(	(	PUNCT
ejpam-6486	271	13	0,+∞	0,+∞	NUM
ejpam-6486	271	14	)	)	PUNCT
ejpam-6486	271	15	→	→	PUNCT
ejpam-6486	272	1	[	[	X
ejpam-6486	272	2	0	0	NUM
ejpam-6486	272	3	,	,	PUNCT
ejpam-6486	272	4	1	1	NUM
ejpam-6486	272	5	]	]	PUNCT
ejpam-6486	272	6	as	as	ADP
ejpam-6486	272	7	p(δ	p(δ	NOUN
ejpam-6486	272	8	,	,	PUNCT
ejpam-6486	272	9	z,ℑ	z,ℑ	NUM
ejpam-6486	272	10	)	)	PUNCT
ejpam-6486	272	11	=	=	SYM
ejpam-6486	272	12	ℑ	ℑ	PROPN
ejpam-6486	272	13	ℑ+	ℑ+	AUX
ejpam-6486	272	14	d(δ	d(δ	PROPN
ejpam-6486	272	15	,	,	PUNCT
ejpam-6486	272	16	z	z	NOUN
ejpam-6486	272	17	)	)	PUNCT
ejpam-6486	272	18	,	,	PUNCT
ejpam-6486	272	19	ℑ	ℑ	PROPN
ejpam-6486	272	20	>	>	X
ejpam-6486	272	21	0	0	X
ejpam-6486	272	22	.	.	PUNCT
ejpam-6486	273	1	with	with	ADP
ejpam-6486	273	2	the	the	DET
ejpam-6486	273	3	operation	operation	NOUN
ejpam-6486	273	4	⋏	⋏	PROPN
ejpam-6486	273	5	on	on	ADP
ejpam-6486	273	6	[	[	X
ejpam-6486	273	7	0	0	NUM
ejpam-6486	273	8	,	,	PUNCT
ejpam-6486	273	9	1	1	NUM
ejpam-6486	273	10	]	]	PUNCT
ejpam-6486	273	11	defined	define	VERB
ejpam-6486	273	12	by	by	ADP
ejpam-6486	273	13	℘1	℘1	NOUN
ejpam-6486	273	14	⋏	⋏	PROPN
ejpam-6486	273	15	℘2	℘2	NOUN
ejpam-6486	273	16	=	=	SYM
ejpam-6486	273	17	℘1	℘1	VERB
ejpam-6486	273	18	×	×	PROPN
ejpam-6486	273	19	℘2	℘2	NOUN
ejpam-6486	273	20	,	,	PUNCT
ejpam-6486	273	21	℘1	℘1	NOUN
ejpam-6486	273	22	,	,	PUNCT
ejpam-6486	273	23	℘2	℘2	NOUN
ejpam-6486	273	24	∈	∈	PROPN
ejpam-6486	274	1	[	[	X
ejpam-6486	274	2	0	0	NUM
ejpam-6486	274	3	,	,	PUNCT
ejpam-6486	274	4	1	1	NUM
ejpam-6486	274	5	]	]	PUNCT
ejpam-6486	274	6	,	,	PUNCT
ejpam-6486	274	7	the	the	DET
ejpam-6486	274	8	triple	triple	ADJ
ejpam-6486	274	9	(	(	PUNCT
ejpam-6486	274	10	e	e	NOUN
ejpam-6486	274	11	,	,	PUNCT
ejpam-6486	274	12	p,⋏	p,⋏	NOUN
ejpam-6486	274	13	)	)	PUNCT
ejpam-6486	274	14	forms	form	VERB
ejpam-6486	274	15	a	a	DET
ejpam-6486	274	16	complete	complete	ADJ
ejpam-6486	274	17	fuzzy	fuzzy	ADJ
ejpam-6486	274	18	metric	metric	ADJ
ejpam-6486	274	19	space	space	NOUN
ejpam-6486	274	20	.	.	PUNCT
ejpam-6486	275	1	we	we	PRON
ejpam-6486	275	2	are	be	AUX
ejpam-6486	275	3	now	now	ADV
ejpam-6486	275	4	ready	ready	ADJ
ejpam-6486	275	5	to	to	PART
ejpam-6486	275	6	present	present	VERB
ejpam-6486	275	7	the	the	DET
ejpam-6486	275	8	main	main	ADJ
ejpam-6486	275	9	result	result	NOUN
ejpam-6486	275	10	of	of	ADP
ejpam-6486	275	11	this	this	DET
ejpam-6486	275	12	section	section	NOUN
ejpam-6486	275	13	.	.	PUNCT
ejpam-6486	276	1	theorem	theorem	NOUN
ejpam-6486	276	2	3	3	X
ejpam-6486	276	3	.	.	PUNCT
ejpam-6486	276	4	assume	assume	VERB
ejpam-6486	276	5	the	the	DET
ejpam-6486	276	6	following	follow	VERB
ejpam-6486	276	7	assumptions	assumption	NOUN
ejpam-6486	276	8	for	for	ADP
ejpam-6486	276	9	equation	equation	NOUN
ejpam-6486	276	10	7	7	NUM
ejpam-6486	276	11	:	:	PUNCT
ejpam-6486	276	12	s1⟩	s1⟩	NOUN
ejpam-6486	276	13	supℓ∈j	supℓ∈j	PROPN
ejpam-6486	276	14	∫	∫	PROPN
ejpam-6486	276	15	v	v	PROPN
ejpam-6486	276	16	u	u	PROPN
ejpam-6486	276	17	|h(e	|h(e	PROPN
ejpam-6486	276	18	,	,	PUNCT
ejpam-6486	276	19	ℓ)|	ℓ)|	PROPN
ejpam-6486	276	20	de	de	X
ejpam-6486	276	21	≤	≤	ADJ
ejpam-6486	276	22	2	2	NUM
ejpam-6486	276	23	3β	3β	NUM
ejpam-6486	276	24	,	,	PUNCT
ejpam-6486	276	25	for	for	ADP
ejpam-6486	276	26	all	all	DET
ejpam-6486	276	27	e	e	NOUN
ejpam-6486	276	28	,	,	PUNCT
ejpam-6486	276	29	ℓ	ℓ	PROPN
ejpam-6486	276	30	∈	∈	PROPN
ejpam-6486	276	31	j	j	PROPN
ejpam-6486	276	32	,	,	PUNCT
ejpam-6486	276	33	s1⟩	s1⟩	VERB
ejpam-6486	276	34	|g(e	|g(e	NOUN
ejpam-6486	276	35	,	,	PUNCT
ejpam-6486	276	36	δ1(e))−	δ1(e))−	PROPN
ejpam-6486	276	37	g(e	g(e	PROPN
ejpam-6486	276	38	,	,	PUNCT
ejpam-6486	276	39	δ2(e))|	δ2(e))|	PROPN
ejpam-6486	276	40	≤	≤	X
ejpam-6486	276	41	θ(|δ1(e)−	θ(|δ1(e)−	VERB
ejpam-6486	276	42	δ2(e)|	δ2(e)|	PROPN
ejpam-6486	276	43	)	)	PUNCT
ejpam-6486	276	44	,	,	PUNCT
ejpam-6486	276	45	for	for	ADP
ejpam-6486	276	46	all	all	DET
ejpam-6486	276	47	δ1	δ1	NOUN
ejpam-6486	276	48	,	,	PUNCT
ejpam-6486	276	49	δ2	δ2	PROPN
ejpam-6486	276	50	∈	∈	PROPN
ejpam-6486	276	51	r.	r.	PROPN
ejpam-6486	276	52	then	then	ADV
ejpam-6486	276	53	equation	equation	NOUN
ejpam-6486	276	54	7	7	NUM
ejpam-6486	276	55	admits	admit	VERB
ejpam-6486	276	56	at	at	ADP
ejpam-6486	276	57	least	least	ADV
ejpam-6486	276	58	one	one	NUM
ejpam-6486	276	59	solution	solution	NOUN
ejpam-6486	276	60	in	in	ADP
ejpam-6486	276	61	e.	e.	PROPN
ejpam-6486	276	62	proof	proof	PROPN
ejpam-6486	276	63	.	.	PUNCT
ejpam-6486	277	1	consider	consider	VERB
ejpam-6486	277	2	the	the	DET
ejpam-6486	277	3	operator	operator	NOUN
ejpam-6486	278	1	k	k	X
ejpam-6486	278	2	:	:	PUNCT
ejpam-6486	278	3	e	e	X
ejpam-6486	278	4	→	→	SYM
ejpam-6486	278	5	e	e	NOUN
ejpam-6486	278	6	defined	define	VERB
ejpam-6486	278	7	by	by	ADP
ejpam-6486	278	8	kδ(ℓ	kδ(ℓ	NOUN
ejpam-6486	278	9	)	)	PUNCT
ejpam-6486	278	10	=	=	SYM
ejpam-6486	278	11	r(ℓ	r(ℓ	PROPN
ejpam-6486	278	12	)	)	PUNCT
ejpam-6486	278	13	+	+	NUM
ejpam-6486	278	14	β	β	X
ejpam-6486	278	15	∫	∫	PROPN
ejpam-6486	278	16	b	b	PROPN
ejpam-6486	278	17	a	a	PRON
ejpam-6486	278	18	h(e	h(e	PROPN
ejpam-6486	278	19	,	,	PUNCT
ejpam-6486	278	20	ℓ	ℓ	NOUN
ejpam-6486	278	21	)	)	PUNCT
ejpam-6486	278	22	g(e	g(e	PROPN
ejpam-6486	278	23	,	,	PUNCT
ejpam-6486	278	24	δ(e	δ(e	NOUN
ejpam-6486	278	25	)	)	PUNCT
ejpam-6486	278	26	)	)	PUNCT
ejpam-6486	279	1	de	de	PROPN
ejpam-6486	279	2	,	,	PUNCT
ejpam-6486	279	3	ℓ	ℓ	PROPN
ejpam-6486	279	4	∈	∈	PROPN
ejpam-6486	279	5	j	j	NOUN
ejpam-6486	279	6	:	:	PUNCT
ejpam-6486	279	7	=	=	SYM
ejpam-6486	280	1	[	[	X
ejpam-6486	280	2	a	a	X
ejpam-6486	280	3	,	,	PUNCT
ejpam-6486	280	4	b	b	NOUN
ejpam-6486	280	5	]	]	X
ejpam-6486	280	6	,	,	PUNCT
ejpam-6486	280	7	where	where	SCONJ
ejpam-6486	280	8	e	e	PROPN
ejpam-6486	280	9	=	=	PROPN
ejpam-6486	280	10	c(j	c(j	PROPN
ejpam-6486	280	11	,	,	PUNCT
ejpam-6486	280	12	r	r	NOUN
ejpam-6486	280	13	)	)	PUNCT
ejpam-6486	280	14	and	and	CCONJ
ejpam-6486	280	15	the	the	DET
ejpam-6486	280	16	binary	binary	PROPN
ejpam-6486	280	17	relation	relation	NOUN
ejpam-6486	280	18	r	r	NOUN
ejpam-6486	280	19	=	=	SYM
ejpam-6486	280	20	{	{	PUNCT
ejpam-6486	280	21	(	(	PUNCT
ejpam-6486	280	22	δ	δ	PROPN
ejpam-6486	280	23	,	,	PUNCT
ejpam-6486	280	24	z	z	NOUN
ejpam-6486	280	25	)	)	PUNCT
ejpam-6486	280	26	∈	∈	PROPN
ejpam-6486	280	27	e	e	ADP
ejpam-6486	280	28	×	×	NOUN
ejpam-6486	280	29	e	e	NOUN
ejpam-6486	280	30	:	:	PUNCT
ejpam-6486	280	31	δ(ℓ	δ(ℓ	NOUN
ejpam-6486	280	32	)	)	PUNCT
ejpam-6486	280	33	≤	≤	NOUN
ejpam-6486	280	34	z(ℓ	z(ℓ	NOUN
ejpam-6486	280	35	)	)	PUNCT
ejpam-6486	280	36	for	for	ADP
ejpam-6486	280	37	all	all	DET
ejpam-6486	280	38	ℓ	ℓ	PROPN
ejpam-6486	280	39	∈	∈	PROPN
ejpam-6486	280	40	j	j	PROPN
ejpam-6486	280	41	}	}	PUNCT
ejpam-6486	280	42	is	be	AUX
ejpam-6486	280	43	defined	define	VERB
ejpam-6486	280	44	.	.	PUNCT
ejpam-6486	281	1	equipped	equip	VERB
ejpam-6486	281	2	with	with	ADP
ejpam-6486	281	3	the	the	DET
ejpam-6486	281	4	metric	metric	ADJ
ejpam-6486	281	5	function	function	NOUN
ejpam-6486	281	6	p	p	NOUN
ejpam-6486	281	7	:	:	PUNCT
ejpam-6486	281	8	e	e	X
ejpam-6486	281	9	×	×	NOUN
ejpam-6486	281	10	e	e	X
ejpam-6486	281	11	×	×	PROPN
ejpam-6486	281	12	(	(	PUNCT
ejpam-6486	281	13	0,+∞	0,+∞	NUM
ejpam-6486	281	14	)	)	PUNCT
ejpam-6486	281	15	→	→	PUNCT
ejpam-6486	282	1	[	[	X
ejpam-6486	282	2	0	0	NUM
ejpam-6486	282	3	,	,	PUNCT
ejpam-6486	282	4	1	1	NUM
ejpam-6486	282	5	]	]	PUNCT
ejpam-6486	282	6	,	,	PUNCT
ejpam-6486	282	7	p(δ	p(δ	PROPN
ejpam-6486	282	8	,	,	PUNCT
ejpam-6486	282	9	z,ℑ	z,ℑ	NUM
ejpam-6486	282	10	)	)	PUNCT
ejpam-6486	282	11	=	=	SYM
ejpam-6486	282	12	ℑ	ℑ	PROPN
ejpam-6486	282	13	ℑ+d(δ	ℑ+d(δ	PROPN
ejpam-6486	282	14	,	,	PUNCT
ejpam-6486	282	15	z	z	NOUN
ejpam-6486	282	16	)	)	PUNCT
ejpam-6486	282	17	,	,	PUNCT
ejpam-6486	282	18	for	for	ADP
ejpam-6486	282	19	all	all	DET
ejpam-6486	282	20	ℑ	ℑ	NOUN
ejpam-6486	282	21	>	>	X
ejpam-6486	282	22	0	0	NUM
ejpam-6486	282	23	,	,	PUNCT
ejpam-6486	282	24	where	where	SCONJ
ejpam-6486	282	25	d(δ	d(δ	PROPN
ejpam-6486	282	26	,	,	PUNCT
ejpam-6486	282	27	z	z	NOUN
ejpam-6486	282	28	)	)	PUNCT
ejpam-6486	282	29	=	=	PUNCT
ejpam-6486	282	30	supℓ∈j	supℓ∈j	PROPN
ejpam-6486	282	31	|δ(ℓ	|δ(ℓ	PROPN
ejpam-6486	282	32	)	)	PUNCT
ejpam-6486	283	1	−	−	PROPN
ejpam-6486	283	2	z(ℓ)|	z(ℓ)|	NOUN
ejpam-6486	283	3	,	,	PUNCT
ejpam-6486	283	4	the	the	DET
ejpam-6486	283	5	space	space	NOUN
ejpam-6486	283	6	(	(	PUNCT
ejpam-6486	283	7	e	e	NOUN
ejpam-6486	283	8	,	,	PUNCT
ejpam-6486	283	9	p,⋏	p,⋏	NOUN
ejpam-6486	283	10	)	)	PUNCT
ejpam-6486	283	11	is	be	AUX
ejpam-6486	283	12	rcomplete	rcomplete	NOUN
ejpam-6486	283	13	.	.	PUNCT
ejpam-6486	284	1	next	next	ADV
ejpam-6486	284	2	,	,	PUNCT
ejpam-6486	284	3	suppose	suppose	VERB
ejpam-6486	284	4	a	a	DET
ejpam-6486	284	5	sequence	sequence	NOUN
ejpam-6486	284	6	{	{	PUNCT
ejpam-6486	284	7	δq	δq	NOUN
ejpam-6486	284	8	}	}	PUNCT
ejpam-6486	284	9	in	in	ADP
ejpam-6486	284	10	e	e	PROPN
ejpam-6486	284	11	is	be	AUX
ejpam-6486	284	12	r	r	NOUN
ejpam-6486	284	13	-	-	PUNCT
ejpam-6486	284	14	preserving	preserve	VERB
ejpam-6486	284	15	and	and	CCONJ
ejpam-6486	284	16	converges	converge	VERB
ejpam-6486	284	17	to	to	ADP
ejpam-6486	284	18	δ	δ	PROPN
ejpam-6486	284	19	with	with	ADP
ejpam-6486	284	20	respect	respect	NOUN
ejpam-6486	284	21	to	to	ADP
ejpam-6486	284	22	p	p	PRON
ejpam-6486	284	23	,	,	PUNCT
ejpam-6486	284	24	that	that	PRON
ejpam-6486	284	25	is	be	AUX
ejpam-6486	284	26	δq	δq	ADP
ejpam-6486	284	27	p−→	p−→	NOUN
ejpam-6486	284	28	δ	δ	PROPN
ejpam-6486	284	29	.	.	PUNCT
ejpam-6486	285	1	therefore	therefore	ADV
ejpam-6486	285	2	,	,	PUNCT
ejpam-6486	285	3	the	the	DET
ejpam-6486	285	4	sequence	sequence	NOUN
ejpam-6486	285	5	{	{	PUNCT
ejpam-6486	285	6	δq	δq	PART
ejpam-6486	285	7	}	}	PUNCT
ejpam-6486	285	8	satisfies	satisfy	VERB
ejpam-6486	285	9	the	the	DET
ejpam-6486	285	10	monotonic	monotonic	ADJ
ejpam-6486	285	11	chain	chain	NOUN
ejpam-6486	285	12	δ0(ℓ	δ0(ℓ	NOUN
ejpam-6486	285	13	)	)	PUNCT
ejpam-6486	285	14	≤	≤	NOUN
ejpam-6486	285	15	δ1(ℓ	δ1(ℓ	ADP
ejpam-6486	285	16	)	)	PUNCT
ejpam-6486	285	17	≤	≤	NOUN
ejpam-6486	285	18	δ2(ℓ	δ2(ℓ	PROPN
ejpam-6486	285	19	)	)	PUNCT
ejpam-6486	285	20	≤	≤	NOUN
ejpam-6486	285	21	·	·	PUNCT
ejpam-6486	285	22	·	·	PUNCT
ejpam-6486	285	23	·	·	PUNCT
ejpam-6486	285	24	≤	≤	NOUN
ejpam-6486	285	25	δq(ℓ	δq(ℓ	NOUN
ejpam-6486	285	26	)	)	PUNCT
ejpam-6486	285	27	≤	≤	NUM
ejpam-6486	285	28	δq+1(ℓ	δq+1(ℓ	NOUN
ejpam-6486	285	29	)	)	PUNCT
ejpam-6486	285	30	≤	≤	NOUN
ejpam-6486	285	31	·	·	PUNCT
ejpam-6486	285	32	·	·	PUNCT
ejpam-6486	285	33	·	·	PUNCT
ejpam-6486	285	34	,	,	PUNCT
ejpam-6486	285	35	ℓ	ℓ	PROPN
ejpam-6486	285	36	∈	∈	PROPN
ejpam-6486	285	37	j.	j.	PROPN
ejpam-6486	285	38	this	this	DET
ejpam-6486	285	39	convergence	convergence	NOUN
ejpam-6486	285	40	entails	entail	VERB
ejpam-6486	285	41	δn(ℓ	δn(ℓ	ADJ
ejpam-6486	285	42	)	)	PUNCT
ejpam-6486	285	43	≤	≤	NUM
ejpam-6486	285	44	δ(ℓ	δ(ℓ	NOUN
ejpam-6486	285	45	)	)	PUNCT
ejpam-6486	285	46	for	for	ADP
ejpam-6486	285	47	all	all	DET
ejpam-6486	285	48	q	q	PROPN
ejpam-6486	285	49	∈	∈	PROPN
ejpam-6486	285	50	n	n	CCONJ
ejpam-6486	285	51	,	,	PUNCT
ejpam-6486	285	52	implying	imply	VERB
ejpam-6486	285	53	the	the	DET
ejpam-6486	285	54	existence	existence	NOUN
ejpam-6486	285	55	of	of	ADP
ejpam-6486	285	56	a	a	DET
ejpam-6486	285	57	subsequence	subsequence	NOUN
ejpam-6486	285	58	{	{	PUNCT
ejpam-6486	285	59	δni	δni	PROPN
ejpam-6486	285	60	}	}	PUNCT
ejpam-6486	285	61	such	such	ADJ
ejpam-6486	285	62	that	that	SCONJ
ejpam-6486	286	1	[	[	X
ejpam-6486	286	2	δni	δni	PROPN
ejpam-6486	286	3	,	,	PUNCT
ejpam-6486	286	4	δ	δ	PROPN
ejpam-6486	286	5	]	]	PUNCT
ejpam-6486	286	6	∈	∈	PROPN
ejpam-6486	286	7	r	r	NOUN
ejpam-6486	286	8	,	,	PUNCT
ejpam-6486	286	9	q	q	PROPN
ejpam-6486	286	10	∈	∈	PROPN
ejpam-6486	286	11	n	n	CCONJ
ejpam-6486	286	12	,	,	PUNCT
ejpam-6486	286	13	and	and	CCONJ
ejpam-6486	286	14	thus	thus	ADV
ejpam-6486	286	15	r	r	NOUN
ejpam-6486	286	16	is	be	AUX
ejpam-6486	286	17	p	p	ADJ
ejpam-6486	286	18	-	-	PUNCT
ejpam-6486	286	19	self	self	NOUN
ejpam-6486	286	20	-	-	PUNCT
ejpam-6486	286	21	closed	closed	ADJ
ejpam-6486	286	22	.	.	PUNCT
ejpam-6486	287	1	a.	a.	NOUN
ejpam-6486	287	2	moussaoui	moussaoui	NOUN
ejpam-6486	287	3	,	,	PUNCT
ejpam-6486	287	4	m.	m.	NOUN
ejpam-6486	287	5	pantović	pantović	NOUN
ejpam-6486	287	6	,	,	PUNCT
ejpam-6486	287	7	s.	s.	PROPN
ejpam-6486	287	8	radenović	radenović	PROPN
ejpam-6486	287	9	/	/	SYM
ejpam-6486	287	10	eur	eur	PROPN
ejpam-6486	287	11	.	.	PUNCT
ejpam-6486	288	1	j.	j.	PROPN
ejpam-6486	288	2	pure	pure	PROPN
ejpam-6486	288	3	appl	appl	PROPN
ejpam-6486	288	4	.	.	PROPN
ejpam-6486	288	5	math	math	PROPN
ejpam-6486	288	6	,	,	PUNCT
ejpam-6486	288	7	18	18	NUM
ejpam-6486	288	8	(	(	PUNCT
ejpam-6486	288	9	3	3	NUM
ejpam-6486	288	10	)	)	PUNCT
ejpam-6486	288	11	(	(	PUNCT
ejpam-6486	288	12	2025	2025	NUM
ejpam-6486	288	13	)	)	PUNCT
ejpam-6486	288	14	,	,	PUNCT
ejpam-6486	288	15	6486	6486	NUM
ejpam-6486	288	16	15	15	NUM
ejpam-6486	288	17	of	of	ADP
ejpam-6486	288	18	18	18	NUM
ejpam-6486	288	19	if	if	SCONJ
ejpam-6486	288	20	δ	δ	PROPN
ejpam-6486	288	21	,	,	PUNCT
ejpam-6486	288	22	z	z	NOUN
ejpam-6486	288	23	∈	∈	PROPN
ejpam-6486	288	24	e	e	NOUN
ejpam-6486	288	25	satisfy	satisfy	VERB
ejpam-6486	288	26	δ(ℓ	δ(ℓ	NOUN
ejpam-6486	288	27	)	)	PUNCT
ejpam-6486	288	28	≤	≤	NOUN
ejpam-6486	289	1	z(ℓ	z(ℓ	NOUN
ejpam-6486	289	2	)	)	PUNCT
ejpam-6486	289	3	for	for	ADP
ejpam-6486	289	4	every	every	DET
ejpam-6486	289	5	ℓ	ℓ	PROPN
ejpam-6486	289	6	and	and	CCONJ
ejpam-6486	289	7	h(ℓ	h(ℓ	PROPN
ejpam-6486	289	8	,	,	PUNCT
ejpam-6486	289	9	e	e	NOUN
ejpam-6486	289	10	)	)	PUNCT
ejpam-6486	289	11	≥	≥	NOUN
ejpam-6486	289	12	0	0	NUM
ejpam-6486	289	13	,	,	PUNCT
ejpam-6486	289	14	then	then	ADV
ejpam-6486	289	15	k	k	PROPN
ejpam-6486	289	16	preserves	preserve	VERB
ejpam-6486	289	17	the	the	DET
ejpam-6486	289	18	order	order	NOUN
ejpam-6486	289	19	(	(	PUNCT
ejpam-6486	289	20	kδ)(ℓ	kδ)(ℓ	PROPN
ejpam-6486	289	21	)	)	PUNCT
ejpam-6486	289	22	=	=	SYM
ejpam-6486	289	23	r(ℓ	r(ℓ	PROPN
ejpam-6486	289	24	)	)	PUNCT
ejpam-6486	289	25	+	+	NUM
ejpam-6486	289	26	∫	∫	PROPN
ejpam-6486	289	27	v	v	NUM
ejpam-6486	289	28	u	u	PROPN
ejpam-6486	289	29	h(e	h(e	PROPN
ejpam-6486	289	30	,	,	PUNCT
ejpam-6486	289	31	ℓ	ℓ	NOUN
ejpam-6486	289	32	)	)	PUNCT
ejpam-6486	289	33	g(e	g(e	PROPN
ejpam-6486	289	34	,	,	PUNCT
ejpam-6486	289	35	δ(e	δ(e	NOUN
ejpam-6486	289	36	)	)	PUNCT
ejpam-6486	289	37	)	)	PUNCT
ejpam-6486	289	38	de	de	PROPN
ejpam-6486	289	39	≤	≤	PROPN
ejpam-6486	289	40	r(ℓ	r(ℓ	PROPN
ejpam-6486	289	41	)	)	PUNCT
ejpam-6486	289	42	+	+	NUM
ejpam-6486	289	43	∫	∫	PROPN
ejpam-6486	289	44	v	v	NUM
ejpam-6486	289	45	u	u	PROPN
ejpam-6486	289	46	h(e	h(e	PROPN
ejpam-6486	289	47	,	,	PUNCT
ejpam-6486	289	48	ℓ	ℓ	NOUN
ejpam-6486	289	49	)	)	PUNCT
ejpam-6486	289	50	g(e	g(e	PROPN
ejpam-6486	289	51	,	,	PUNCT
ejpam-6486	289	52	z(e	z(e	NOUN
ejpam-6486	289	53	)	)	PUNCT
ejpam-6486	289	54	)	)	PUNCT
ejpam-6486	290	1	de	de	X
ejpam-6486	290	2	=	=	SYM
ejpam-6486	290	3	(	(	PUNCT
ejpam-6486	290	4	kz)(ℓ	kz)(ℓ	PROPN
ejpam-6486	290	5	)	)	PUNCT
ejpam-6486	290	6	.	.	PUNCT
ejpam-6486	291	1	therefore	therefore	ADV
ejpam-6486	291	2	,	,	PUNCT
ejpam-6486	291	3	(	(	PUNCT
ejpam-6486	291	4	kδ)(ℓ	kδ)(ℓ	PROPN
ejpam-6486	291	5	)	)	PUNCT
ejpam-6486	291	6	≤	≤	NOUN
ejpam-6486	291	7	(	(	PUNCT
ejpam-6486	291	8	kz)(ℓ	kz)(ℓ	PROPN
ejpam-6486	291	9	)	)	PUNCT
ejpam-6486	291	10	.	.	PUNCT
ejpam-6486	292	1	hence	hence	ADV
ejpam-6486	292	2	,	,	PUNCT
ejpam-6486	292	3	(	(	PUNCT
ejpam-6486	292	4	kδ	kδ	NOUN
ejpam-6486	292	5	,	,	PUNCT
ejpam-6486	292	6	kz	kz	PROPN
ejpam-6486	292	7	)	)	PUNCT
ejpam-6486	292	8	∈	∈	PROPN
ejpam-6486	292	9	r	r	NOUN
ejpam-6486	292	10	,	,	PUNCT
ejpam-6486	292	11	thereby	thereby	ADV
ejpam-6486	292	12	establishing	establish	VERB
ejpam-6486	292	13	that	that	SCONJ
ejpam-6486	292	14	r	r	NOUN
ejpam-6486	292	15	is	be	AUX
ejpam-6486	292	16	k	k	NOUN
ejpam-6486	292	17	-	-	ADJ
ejpam-6486	292	18	closed	closed	ADJ
ejpam-6486	292	19	.	.	PUNCT
ejpam-6486	293	1	next	next	ADV
ejpam-6486	293	2	,	,	PUNCT
ejpam-6486	293	3	consider	consider	VERB
ejpam-6486	293	4	the	the	DET
ejpam-6486	293	5	pair	pair	NOUN
ejpam-6486	293	6	(	(	PUNCT
ejpam-6486	293	7	δ	δ	PROPN
ejpam-6486	293	8	,	,	PUNCT
ejpam-6486	293	9	z	z	NOUN
ejpam-6486	293	10	)	)	PUNCT
ejpam-6486	293	11	∈	∈	PROPN
ejpam-6486	293	12	r	r	NOUN
ejpam-6486	293	13	,	,	PUNCT
ejpam-6486	293	14	we	we	PRON
ejpam-6486	293	15	have	have	VERB
ejpam-6486	293	16	1	1	NUM
ejpam-6486	293	17	p(ks	p(ks	NUM
ejpam-6486	293	18	,	,	PUNCT
ejpam-6486	293	19	kt,ℑ	kt,ℑ	PROPN
ejpam-6486	293	20	)	)	PUNCT
ejpam-6486	293	21	−	−	PROPN
ejpam-6486	293	22	1	1	NUM
ejpam-6486	293	23	=	=	SYM
ejpam-6486	293	24	d(kδ	d(kδ	NUM
ejpam-6486	293	25	,	,	PUNCT
ejpam-6486	293	26	kz	kz	PROPN
ejpam-6486	293	27	)	)	PUNCT
ejpam-6486	293	28	ℑ	ℑ	PROPN
ejpam-6486	293	29	=	=	SYM
ejpam-6486	293	30	supℓ∈j	supℓ∈j	PROPN
ejpam-6486	293	31	|(kδ)(ℓ)−	|(kδ)(ℓ)−	PROPN
ejpam-6486	293	32	(	(	PUNCT
ejpam-6486	293	33	kz)(ℓ)|	kz)(ℓ)|	PUNCT
ejpam-6486	293	34	ℑ	ℑ	PROPN
ejpam-6486	293	35	≤	≤	PUNCT
ejpam-6486	293	36	β	β	X
ejpam-6486	293	37	sup	sup	NOUN
ejpam-6486	293	38	ℓ∈j	ℓ∈j	NOUN
ejpam-6486	293	39	∫	∫	PROPN
ejpam-6486	293	40	v	v	ADP
ejpam-6486	293	41	u	u	PROPN
ejpam-6486	293	42	|h(e	|h(e	PROPN
ejpam-6486	293	43	,	,	PUNCT
ejpam-6486	293	44	ℓ)|	ℓ)|	PROPN
ejpam-6486	293	45	de	de	X
ejpam-6486	293	46	∫	∫	PROPN
ejpam-6486	293	47	v	v	PROPN
ejpam-6486	293	48	u	u	PROPN
ejpam-6486	293	49	|g(e	|g(e	PROPN
ejpam-6486	293	50	,	,	PUNCT
ejpam-6486	293	51	δ(e))−	δ(e))−	ADJ
ejpam-6486	293	52	g(e	g(e	PROPN
ejpam-6486	293	53	,	,	PUNCT
ejpam-6486	293	54	z(e))|	z(e))|	PROPN
ejpam-6486	293	55	de	de	X
ejpam-6486	293	56	≤	≤	PROPN
ejpam-6486	293	57	2	2	NUM
ejpam-6486	293	58	3ℑ	3ℑ	NOUN
ejpam-6486	293	59	∫	∫	NOUN
ejpam-6486	293	60	v	v	ADP
ejpam-6486	293	61	u	u	PROPN
ejpam-6486	293	62	|g(e	|g(e	PROPN
ejpam-6486	293	63	,	,	PUNCT
ejpam-6486	293	64	δ(e))−	δ(e))−	ADJ
ejpam-6486	293	65	g(e	g(e	PROPN
ejpam-6486	293	66	,	,	PUNCT
ejpam-6486	293	67	z(e))|	z(e))|	PROPN
ejpam-6486	293	68	de	de	X
ejpam-6486	293	69	≤	≤	PROPN
ejpam-6486	293	70	2	2	NUM
ejpam-6486	293	71	3ℑ	3ℑ	NOUN
ejpam-6486	293	72	∫	∫	NOUN
ejpam-6486	293	73	v	v	NUM
ejpam-6486	293	74	u	u	NOUN
ejpam-6486	293	75	θ(|δ(e)−	θ(|δ(e)−	ADP
ejpam-6486	293	76	z(e)|	z(e)|	X
ejpam-6486	293	77	)	)	PUNCT
ejpam-6486	293	78	de	de	PROPN
ejpam-6486	293	79	≤	≤	NUM
ejpam-6486	293	80	2	2	NUM
ejpam-6486	293	81	3ℑ	3ℑ	PROPN
ejpam-6486	293	82	θ(d(δ	θ(d(δ	PROPN
ejpam-6486	293	83	,	,	PUNCT
ejpam-6486	293	84	z	z	NOUN
ejpam-6486	293	85	)	)	PUNCT
ejpam-6486	293	86	)	)	PUNCT
ejpam-6486	293	87	≤	≤	NUM
ejpam-6486	293	88	2	2	NUM
ejpam-6486	293	89	3	3	NUM
ejpam-6486	293	90	d(δ	d(δ	PROPN
ejpam-6486	293	91	,	,	PUNCT
ejpam-6486	293	92	z	z	NOUN
ejpam-6486	293	93	)	)	PUNCT
ejpam-6486	293	94	ℑ	ℑ	NOUN
ejpam-6486	293	95	=	=	SYM
ejpam-6486	293	96	2	2	NUM
ejpam-6486	293	97	3	3	NUM
ejpam-6486	293	98	(	(	PUNCT
ejpam-6486	293	99	1	1	NUM
ejpam-6486	293	100	p(δ	p(δ	NOUN
ejpam-6486	293	101	,	,	PUNCT
ejpam-6486	293	102	z,ℑ	z,ℑ	NUM
ejpam-6486	293	103	)	)	PUNCT
ejpam-6486	293	104	−	−	PROPN
ejpam-6486	293	105	1	1	NUM
ejpam-6486	293	106	)	)	PUNCT
ejpam-6486	293	107	.	.	PUNCT
ejpam-6486	294	1	consequently	consequently	ADV
ejpam-6486	294	2	,	,	PUNCT
ejpam-6486	294	3	the	the	DET
ejpam-6486	294	4	operator	operator	NOUN
ejpam-6486	294	5	k	k	PROPN
ejpam-6486	294	6	satisfies	satisfy	VERB
ejpam-6486	294	7	the	the	DET
ejpam-6486	294	8	contractive	contractive	ADJ
ejpam-6486	294	9	condition	condition	NOUN
ejpam-6486	294	10	(	(	PUNCT
ejpam-6486	294	11	iv	iv	X
ejpam-6486	294	12	)	)	PUNCT
ejpam-6486	294	13	in	in	ADP
ejpam-6486	294	14	theorem	theorem	NOUN
ejpam-6486	294	15	1	1	NUM
ejpam-6486	294	16	by	by	ADP
ejpam-6486	294	17	employing	employ	VERB
ejpam-6486	294	18	the	the	DET
ejpam-6486	294	19	control	control	NOUN
ejpam-6486	294	20	function	function	PROPN
ejpam-6486	294	21	s(ℓ	s(ℓ	PROPN
ejpam-6486	294	22	,	,	PUNCT
ejpam-6486	294	23	e	e	X
ejpam-6486	294	24	)	)	PUNCT
ejpam-6486	294	25	∈	∈	PROPN
ejpam-6486	294	26	fz	fz	NOUN
ejpam-6486	294	27	defined	define	VERB
ejpam-6486	294	28	as	as	ADP
ejpam-6486	294	29	s(ℓ	s(ℓ	PROPN
ejpam-6486	294	30	,	,	PUNCT
ejpam-6486	294	31	e	e	NOUN
ejpam-6486	294	32	)	)	PUNCT
ejpam-6486	294	33	=	=	SYM
ejpam-6486	294	34	2	2	NUM
ejpam-6486	294	35	3	3	NUM
ejpam-6486	294	36	(	(	PUNCT
ejpam-6486	294	37	1	1	NUM
ejpam-6486	294	38	ℓ	ℓ	NOUN
ejpam-6486	294	39	−	−	PROPN
ejpam-6486	294	40	1	1	NUM
ejpam-6486	294	41	)	)	PUNCT
ejpam-6486	294	42	−	−	PROPN
ejpam-6486	295	1	(	(	PUNCT
ejpam-6486	295	2	1	1	NUM
ejpam-6486	295	3	e	e	NOUN
ejpam-6486	295	4	−	−	PROPN
ejpam-6486	295	5	1	1	NUM
ejpam-6486	295	6	)	)	PUNCT
ejpam-6486	295	7	.	.	PUNCT
ejpam-6486	296	1	let	let	VERB
ejpam-6486	296	2	γ	γ	X
ejpam-6486	296	3	∈	∈	VERB
ejpam-6486	296	4	e	e	X
ejpam-6486	296	5	be	be	AUX
ejpam-6486	296	6	such	such	ADJ
ejpam-6486	296	7	that	that	SCONJ
ejpam-6486	296	8	γ(ℓ	γ(ℓ	NOUN
ejpam-6486	296	9	)	)	PUNCT
ejpam-6486	296	10	≤	≤	NOUN
ejpam-6486	296	11	(	(	PUNCT
ejpam-6486	296	12	kγ)(ℓ	kγ)(ℓ	PROPN
ejpam-6486	296	13	)	)	PUNCT
ejpam-6486	296	14	,	,	PUNCT
ejpam-6486	296	15	which	which	PRON
ejpam-6486	296	16	implies	imply	VERB
ejpam-6486	296	17	(	(	PUNCT
ejpam-6486	296	18	γ	γ	X
ejpam-6486	296	19	,	,	PUNCT
ejpam-6486	296	20	kγ	kγ	NOUN
ejpam-6486	296	21	)	)	PUNCT
ejpam-6486	296	22	∈	∈	PROPN
ejpam-6486	296	23	r	r	NOUN
ejpam-6486	296	24	,	,	PUNCT
ejpam-6486	296	25	so	so	ADV
ejpam-6486	296	26	the	the	DET
ejpam-6486	296	27	set	set	NOUN
ejpam-6486	296	28	e(k	e(k	NOUN
ejpam-6486	296	29	,	,	PUNCT
ejpam-6486	296	30	r	r	NOUN
ejpam-6486	296	31	)	)	PUNCT
ejpam-6486	296	32	is	be	AUX
ejpam-6486	296	33	nonempty	nonempty	ADJ
ejpam-6486	296	34	.	.	PUNCT
ejpam-6486	297	1	now	now	ADV
ejpam-6486	297	2	,	,	PUNCT
ejpam-6486	297	3	define	define	VERB
ejpam-6486	297	4	ϖ	ϖ	PROPN
ejpam-6486	297	5	=	=	SYM
ejpam-6486	297	6	max{δ	max{δ	PROPN
ejpam-6486	297	7	,	,	PUNCT
ejpam-6486	297	8	z	z	NOUN
ejpam-6486	297	9	}	}	PUNCT
ejpam-6486	297	10	.	.	PUNCT
ejpam-6486	298	1	then	then	ADV
ejpam-6486	298	2	δ(ℓ	δ(ℓ	NOUN
ejpam-6486	298	3	)	)	PUNCT
ejpam-6486	298	4	≤	≤	NUM
ejpam-6486	298	5	ϖ(ℓ	ϖ(ℓ	NOUN
ejpam-6486	298	6	)	)	PUNCT
ejpam-6486	298	7	and	and	CCONJ
ejpam-6486	298	8	z(ℓ	z(ℓ	NOUN
ejpam-6486	298	9	)	)	PUNCT
ejpam-6486	298	10	≤	≤	NUM
ejpam-6486	298	11	ϖ(ℓ	ϖ(ℓ	NOUN
ejpam-6486	298	12	)	)	PUNCT
ejpam-6486	298	13	,	,	PUNCT
ejpam-6486	298	14	which	which	PRON
ejpam-6486	298	15	shows	show	VERB
ejpam-6486	298	16	(	(	PUNCT
ejpam-6486	298	17	δ,ϖ	δ,ϖ	NOUN
ejpam-6486	298	18	)	)	PUNCT
ejpam-6486	298	19	∈	∈	PROPN
ejpam-6486	298	20	r	r	NOUN
ejpam-6486	298	21	and	and	CCONJ
ejpam-6486	298	22	(	(	PUNCT
ejpam-6486	298	23	z,ϖ	z,ϖ	NOUN
ejpam-6486	298	24	)	)	PUNCT
ejpam-6486	298	25	∈	∈	PROPN
ejpam-6486	298	26	r.	r.	PROPN
ejpam-6486	298	27	hence	hence	ADV
ejpam-6486	298	28	,	,	PUNCT
ejpam-6486	298	29	the	the	DET
ejpam-6486	298	30	triple	triple	ADJ
ejpam-6486	298	31	{	{	PUNCT
ejpam-6486	298	32	δ,ϖ	δ,ϖ	PROPN
ejpam-6486	298	33	,	,	PUNCT
ejpam-6486	298	34	z	z	NOUN
ejpam-6486	298	35	}	}	PUNCT
ejpam-6486	298	36	forms	form	VERB
ejpam-6486	298	37	a	a	DET
ejpam-6486	298	38	path	path	NOUN
ejpam-6486	298	39	in	in	ADP
ejpam-6486	298	40	r	r	NOUN
ejpam-6486	298	41	connecting	connect	VERB
ejpam-6486	298	42	δ	δ	PROPN
ejpam-6486	298	43	and	and	CCONJ
ejpam-6486	298	44	z.	z.	PROPN
ejpam-6486	299	1	all	all	DET
ejpam-6486	299	2	assumptions	assumption	NOUN
ejpam-6486	299	3	of	of	ADP
ejpam-6486	299	4	theorem	theorem	ADJ
ejpam-6486	299	5	2	2	NUM
ejpam-6486	299	6	are	be	AUX
ejpam-6486	299	7	thus	thus	ADV
ejpam-6486	299	8	satisfied	satisfied	ADJ
ejpam-6486	299	9	,	,	PUNCT
ejpam-6486	299	10	concluding	conclude	VERB
ejpam-6486	299	11	that	that	SCONJ
ejpam-6486	299	12	k	k	PROPN
ejpam-6486	299	13	has	have	VERB
ejpam-6486	299	14	a	a	DET
ejpam-6486	299	15	unique	unique	ADJ
ejpam-6486	299	16	fixed	fix	VERB
ejpam-6486	299	17	point	point	NOUN
ejpam-6486	299	18	that	that	PRON
ejpam-6486	299	19	solves	solve	VERB
ejpam-6486	299	20	the	the	DET
ejpam-6486	299	21	integral	integral	ADJ
ejpam-6486	299	22	equation	equation	NOUN
ejpam-6486	299	23	.	.	PUNCT
ejpam-6486	300	1	a.	a.	NOUN
ejpam-6486	300	2	moussaoui	moussaoui	PROPN
ejpam-6486	300	3	,	,	PUNCT
ejpam-6486	300	4	m.	m.	NOUN
ejpam-6486	300	5	pantović	pantović	NOUN
ejpam-6486	300	6	,	,	PUNCT
ejpam-6486	300	7	s.	s.	PROPN
ejpam-6486	300	8	radenović	radenović	PROPN
ejpam-6486	300	9	/	/	SYM
ejpam-6486	300	10	eur	eur	PROPN
ejpam-6486	300	11	.	.	PUNCT
ejpam-6486	301	1	j.	j.	PROPN
ejpam-6486	301	2	pure	pure	PROPN
ejpam-6486	301	3	appl	appl	PROPN
ejpam-6486	301	4	.	.	PROPN
ejpam-6486	301	5	math	math	PROPN
ejpam-6486	301	6	,	,	PUNCT
ejpam-6486	301	7	18	18	NUM
ejpam-6486	301	8	(	(	PUNCT
ejpam-6486	301	9	3	3	NUM
ejpam-6486	301	10	)	)	PUNCT
ejpam-6486	301	11	(	(	PUNCT
ejpam-6486	301	12	2025	2025	NUM
ejpam-6486	301	13	)	)	PUNCT
ejpam-6486	301	14	,	,	PUNCT
ejpam-6486	301	15	6486	6486	NUM
ejpam-6486	301	16	16	16	NUM
ejpam-6486	301	17	of	of	ADP
ejpam-6486	301	18	18	18	NUM
ejpam-6486	301	19	3	3	NUM
ejpam-6486	301	20	.	.	PUNCT
ejpam-6486	301	21	conclusion	conclusion	NOUN
ejpam-6486	301	22	this	this	DET
ejpam-6486	301	23	study	study	NOUN
ejpam-6486	301	24	introduced	introduce	VERB
ejpam-6486	301	25	a	a	DET
ejpam-6486	301	26	novel	novel	ADJ
ejpam-6486	301	27	fuzzy	fuzzy	ADJ
ejpam-6486	301	28	contraction	contraction	NOUN
ejpam-6486	301	29	inequality	inequality	NOUN
ejpam-6486	301	30	essential	essential	ADJ
ejpam-6486	301	31	for	for	ADP
ejpam-6486	301	32	establishing	establish	VERB
ejpam-6486	301	33	the	the	DET
ejpam-6486	301	34	existence	existence	NOUN
ejpam-6486	301	35	and	and	CCONJ
ejpam-6486	301	36	uniqueness	uniqueness	NOUN
ejpam-6486	301	37	of	of	ADP
ejpam-6486	301	38	fixed	fix	VERB
ejpam-6486	301	39	points	point	NOUN
ejpam-6486	301	40	in	in	ADP
ejpam-6486	301	41	fuzzy	fuzzy	ADJ
ejpam-6486	301	42	metric	metric	ADJ
ejpam-6486	301	43	spaces	space	NOUN
ejpam-6486	301	44	endowed	endow	VERB
ejpam-6486	301	45	with	with	ADP
ejpam-6486	301	46	a	a	DET
ejpam-6486	301	47	binary	binary	ADJ
ejpam-6486	301	48	relation	relation	NOUN
ejpam-6486	301	49	.	.	PUNCT
ejpam-6486	302	1	notably	notably	ADV
ejpam-6486	302	2	,	,	PUNCT
ejpam-6486	302	3	unlike	unlike	ADP
ejpam-6486	302	4	many	many	ADJ
ejpam-6486	302	5	classical	classical	ADJ
ejpam-6486	302	6	approaches	approach	NOUN
ejpam-6486	302	7	,	,	PUNCT
ejpam-6486	302	8	we	we	PRON
ejpam-6486	302	9	did	do	AUX
ejpam-6486	302	10	not	not	PART
ejpam-6486	302	11	require	require	VERB
ejpam-6486	302	12	the	the	DET
ejpam-6486	302	13	completeness	completeness	NOUN
ejpam-6486	302	14	of	of	ADP
ejpam-6486	302	15	the	the	DET
ejpam-6486	302	16	entire	entire	ADJ
ejpam-6486	302	17	space	space	NOUN
ejpam-6486	302	18	or	or	CCONJ
ejpam-6486	302	19	any	any	PRON
ejpam-6486	302	20	of	of	ADP
ejpam-6486	302	21	its	its	PRON
ejpam-6486	302	22	subspaces	subspace	NOUN
ejpam-6486	302	23	.	.	PUNCT
ejpam-6486	303	1	instead	instead	ADV
ejpam-6486	303	2	,	,	PUNCT
ejpam-6486	303	3	our	our	PRON
ejpam-6486	303	4	results	result	NOUN
ejpam-6486	303	5	rely	rely	VERB
ejpam-6486	303	6	on	on	ADP
ejpam-6486	303	7	the	the	DET
ejpam-6486	303	8	relatively	relatively	ADV
ejpam-6486	303	9	weaker	weak	ADJ
ejpam-6486	303	10	concept	concept	NOUN
ejpam-6486	303	11	of	of	ADP
ejpam-6486	303	12	r	r	NOUN
ejpam-6486	303	13	-	-	NOUN
ejpam-6486	303	14	completeness	completeness	NOUN
ejpam-6486	303	15	within	within	ADP
ejpam-6486	303	16	subspaces	subspace	NOUN
ejpam-6486	303	17	of	of	ADP
ejpam-6486	303	18	the	the	DET
ejpam-6486	303	19	whole	whole	ADJ
ejpam-6486	303	20	space	space	NOUN
ejpam-6486	303	21	.	.	PUNCT
ejpam-6486	304	1	moreover	moreover	ADV
ejpam-6486	304	2	,	,	PUNCT
ejpam-6486	304	3	we	we	PRON
ejpam-6486	304	4	relaxed	relax	VERB
ejpam-6486	304	5	the	the	DET
ejpam-6486	304	6	traditional	traditional	ADJ
ejpam-6486	304	7	continuity	continuity	NOUN
ejpam-6486	304	8	assumption	assumption	NOUN
ejpam-6486	304	9	on	on	ADP
ejpam-6486	304	10	the	the	DET
ejpam-6486	304	11	involved	involved	ADJ
ejpam-6486	304	12	mapping	mapping	NOUN
ejpam-6486	304	13	,	,	PUNCT
ejpam-6486	304	14	replacing	replace	VERB
ejpam-6486	304	15	it	it	PRON
ejpam-6486	304	16	with	with	ADP
ejpam-6486	304	17	the	the	DET
ejpam-6486	304	18	more	more	ADV
ejpam-6486	304	19	generalized	generalized	ADJ
ejpam-6486	304	20	notions	notion	NOUN
ejpam-6486	304	21	of	of	ADP
ejpam-6486	304	22	r	r	NOUN
ejpam-6486	304	23	-	-	PUNCT
ejpam-6486	304	24	continuity	continuity	NOUN
ejpam-6486	304	25	or	or	CCONJ
ejpam-6486	304	26	the	the	DET
ejpam-6486	304	27	p	p	NOUN
ejpam-6486	304	28	-	-	PUNCT
ejpam-6486	304	29	self	self	NOUN
ejpam-6486	304	30	-	-	PUNCT
ejpam-6486	304	31	closedness	closedness	NOUN
ejpam-6486	304	32	of	of	ADP
ejpam-6486	304	33	the	the	DET
ejpam-6486	304	34	restriction	restriction	NOUN
ejpam-6486	304	35	of	of	ADP
ejpam-6486	304	36	r	r	NOUN
ejpam-6486	304	37	to	to	ADP
ejpam-6486	304	38	a	a	DET
ejpam-6486	304	39	subset	subset	NOUN
ejpam-6486	304	40	u	u	NOUN
ejpam-6486	304	41	.	.	PUNCT
ejpam-6486	305	1	our	our	PRON
ejpam-6486	305	2	framework	framework	NOUN
ejpam-6486	305	3	,	,	PUNCT
ejpam-6486	305	4	leveraging	leverage	VERB
ejpam-6486	305	5	versatile	versatile	ADJ
ejpam-6486	305	6	control	control	NOUN
ejpam-6486	305	7	functionss	functions	NOUN
ejpam-6486	305	8	,	,	PUNCT
ejpam-6486	305	9	enriches	enrich	VERB
ejpam-6486	305	10	the	the	DET
ejpam-6486	305	11	theory	theory	NOUN
ejpam-6486	305	12	of	of	ADP
ejpam-6486	305	13	relationtheoretic	relationtheoretic	ADJ
ejpam-6486	305	14	and	and	CCONJ
ejpam-6486	305	15	fuzzy	fuzzy	ADJ
ejpam-6486	305	16	fixed	fix	VERB
ejpam-6486	305	17	points	point	NOUN
ejpam-6486	305	18	.	.	PUNCT
ejpam-6486	306	1	these	these	DET
ejpam-6486	306	2	findings	finding	NOUN
ejpam-6486	306	3	also	also	ADV
ejpam-6486	306	4	pave	pave	VERB
ejpam-6486	306	5	the	the	DET
ejpam-6486	306	6	way	way	NOUN
ejpam-6486	306	7	for	for	ADP
ejpam-6486	306	8	future	future	ADJ
ejpam-6486	306	9	research	research	NOUN
ejpam-6486	306	10	on	on	ADP
ejpam-6486	306	11	coincidence	coincidence	NOUN
ejpam-6486	306	12	and	and	CCONJ
ejpam-6486	306	13	common	common	ADJ
ejpam-6486	306	14	fixed	fix	VERB
ejpam-6486	306	15	points	point	NOUN
ejpam-6486	306	16	within	within	ADP
ejpam-6486	306	17	relation	relation	NOUN
ejpam-6486	306	18	-	-	PUNCT
ejpam-6486	306	19	theoretic	theoretic	ADJ
ejpam-6486	306	20	fuzzy	fuzzy	ADJ
ejpam-6486	306	21	metric	metric	ADJ
ejpam-6486	306	22	spaces	space	NOUN
ejpam-6486	306	23	,	,	PUNCT
ejpam-6486	306	24	highlighting	highlight	VERB
ejpam-6486	306	25	the	the	DET
ejpam-6486	306	26	broad	broad	ADJ
ejpam-6486	306	27	potential	potential	NOUN
ejpam-6486	306	28	and	and	CCONJ
ejpam-6486	306	29	applicability	applicability	NOUN
ejpam-6486	306	30	of	of	ADP
ejpam-6486	306	31	the	the	DET
ejpam-6486	306	32	approach	approach	NOUN
ejpam-6486	306	33	.	.	PUNCT
ejpam-6486	307	1	future	future	ADJ
ejpam-6486	307	2	work	work	NOUN
ejpam-6486	307	3	may	may	AUX
ejpam-6486	307	4	extend	extend	VERB
ejpam-6486	307	5	this	this	DET
ejpam-6486	307	6	framework	framework	NOUN
ejpam-6486	307	7	to	to	ADP
ejpam-6486	307	8	broader	broad	ADJ
ejpam-6486	307	9	contraction	contraction	NOUN
ejpam-6486	307	10	classes	class	NOUN
ejpam-6486	307	11	,	,	PUNCT
ejpam-6486	307	12	including	include	VERB
ejpam-6486	307	13	vector	vector	NOUN
ejpam-6486	307	14	-	-	PUNCT
ejpam-6486	307	15	valued	value	VERB
ejpam-6486	307	16	and	and	CCONJ
ejpam-6486	307	17	multi	multi	ADJ
ejpam-6486	307	18	-	-	ADJ
ejpam-6486	307	19	dimensional	dimensional	ADJ
ejpam-6486	307	20	fuzzy	fuzzy	ADJ
ejpam-6486	307	21	metric	metric	ADJ
ejpam-6486	307	22	spaces	space	NOUN
ejpam-6486	307	23	.	.	PUNCT
ejpam-6486	308	1	the	the	DET
ejpam-6486	308	2	results	result	NOUN
ejpam-6486	308	3	provide	provide	VERB
ejpam-6486	308	4	a	a	DET
ejpam-6486	308	5	solid	solid	ADJ
ejpam-6486	308	6	basis	basis	NOUN
ejpam-6486	308	7	for	for	ADP
ejpam-6486	308	8	analyzing	analyze	VERB
ejpam-6486	308	9	nonlinear	nonlinear	ADJ
ejpam-6486	308	10	operator	operator	NOUN
ejpam-6486	308	11	equations	equation	NOUN
ejpam-6486	308	12	and	and	CCONJ
ejpam-6486	308	13	related	relate	VERB
ejpam-6486	308	14	problems	problem	NOUN
ejpam-6486	308	15	involving	involve	VERB
ejpam-6486	308	16	uncertainty	uncertainty	NOUN
ejpam-6486	308	17	modeled	model	VERB
ejpam-6486	308	18	by	by	ADP
ejpam-6486	308	19	fuzzy	fuzzy	ADJ
ejpam-6486	308	20	metrics	metric	NOUN
ejpam-6486	308	21	and	and	CCONJ
ejpam-6486	308	22	relations	relation	NOUN
ejpam-6486	308	23	.	.	PUNCT
ejpam-6486	309	1	in	in	ADP
ejpam-6486	309	2	conclusion	conclusion	NOUN
ejpam-6486	309	3	,	,	PUNCT
ejpam-6486	309	4	this	this	DET
ejpam-6486	309	5	study	study	NOUN
ejpam-6486	309	6	unifies	unify	VERB
ejpam-6486	309	7	relational	relational	ADJ
ejpam-6486	309	8	structures	structure	NOUN
ejpam-6486	309	9	and	and	CCONJ
ejpam-6486	309	10	fuzzy	fuzzy	ADJ
ejpam-6486	309	11	metric	metric	ADJ
ejpam-6486	309	12	theory	theory	NOUN
ejpam-6486	309	13	to	to	PART
ejpam-6486	309	14	establish	establish	VERB
ejpam-6486	309	15	robust	robust	ADJ
ejpam-6486	309	16	fixed	fix	VERB
ejpam-6486	309	17	point	point	NOUN
ejpam-6486	309	18	results	result	NOUN
ejpam-6486	309	19	,	,	PUNCT
ejpam-6486	309	20	opening	open	VERB
ejpam-6486	309	21	pathways	pathway	NOUN
ejpam-6486	309	22	for	for	ADP
ejpam-6486	309	23	further	further	ADJ
ejpam-6486	309	24	research	research	NOUN
ejpam-6486	309	25	on	on	ADP
ejpam-6486	309	26	coincidence	coincidence	NOUN
ejpam-6486	309	27	and	and	CCONJ
ejpam-6486	309	28	common	common	ADJ
ejpam-6486	309	29	fixed	fix	VERB
ejpam-6486	309	30	points	point	NOUN
ejpam-6486	309	31	in	in	ADP
ejpam-6486	309	32	abstract	abstract	ADJ
ejpam-6486	309	33	metric	metric	ADJ
ejpam-6486	309	34	and	and	CCONJ
ejpam-6486	309	35	relational	relational	ADJ
ejpam-6486	309	36	frameworks	framework	NOUN
ejpam-6486	309	37	.	.	PUNCT
ejpam-6486	310	1	declarations	declaration	NOUN
ejpam-6486	310	2	:	:	PUNCT
ejpam-6486	310	3	competing	compete	VERB
ejpam-6486	310	4	interests	interest	NOUN
ejpam-6486	310	5	the	the	DET
ejpam-6486	310	6	author	author	NOUN
ejpam-6486	310	7	reports	report	VERB
ejpam-6486	310	8	no	no	DET
ejpam-6486	310	9	conflicts	conflict	NOUN
ejpam-6486	310	10	of	of	ADP
ejpam-6486	310	11	interest	interest	NOUN
ejpam-6486	310	12	funding	funding	NOUN
ejpam-6486	310	13	this	this	DET
ejpam-6486	310	14	work	work	NOUN
ejpam-6486	310	15	was	be	AUX
ejpam-6486	310	16	supported	support	VERB
ejpam-6486	310	17	by	by	ADP
ejpam-6486	310	18	the	the	DET
ejpam-6486	310	19	serbian	serbian	PROPN
ejpam-6486	310	20	ministry	ministry	PROPN
ejpam-6486	310	21	of	of	ADP
ejpam-6486	310	22	science	science	PROPN
ejpam-6486	310	23	,	,	PUNCT
ejpam-6486	310	24	technological	technological	ADJ
ejpam-6486	310	25	development	development	NOUN
ejpam-6486	310	26	and	and	CCONJ
ejpam-6486	310	27	innovation	innovation	NOUN
ejpam-6486	310	28	(	(	PUNCT
ejpam-6486	310	29	agreement	agreement	NOUN
ejpam-6486	310	30	no	no	INTJ
ejpam-6486	310	31	.	.	PUNCT
ejpam-6486	311	1	451	451	NUM
ejpam-6486	311	2	-	-	SYM
ejpam-6486	311	3	03	03	NUM
ejpam-6486	311	4	-	-	PUNCT
ejpam-6486	311	5	137/2025	137/2025	NUM
ejpam-6486	311	6	-	-	PUNCT
ejpam-6486	311	7	03/200122	03/200122	NOUN
ejpam-6486	311	8	)	)	PUNCT
ejpam-6486	311	9	.	.	PUNCT
ejpam-6486	312	1	authors	author	NOUN
ejpam-6486	312	2	’	'	PUNCT
ejpam-6486	312	3	contributions	contribution	NOUN
ejpam-6486	312	4	all	all	DET
ejpam-6486	312	5	authors	author	NOUN
ejpam-6486	312	6	read	read	VERB
ejpam-6486	312	7	and	and	CCONJ
ejpam-6486	312	8	approved	approve	VERB
ejpam-6486	312	9	the	the	DET
ejpam-6486	312	10	final	final	ADJ
ejpam-6486	312	11	manuscript	manuscript	NOUN
ejpam-6486	312	12	.	.	PUNCT
ejpam-6486	313	1	references	reference	NOUN
ejpam-6486	313	2	[	[	X
ejpam-6486	313	3	1	1	NUM
ejpam-6486	313	4	]	]	PUNCT
ejpam-6486	313	5	f.	f.	PROPN
ejpam-6486	313	6	khojasteh	khojasteh	PROPN
ejpam-6486	313	7	,	,	PUNCT
ejpam-6486	313	8	s.	s.	PROPN
ejpam-6486	313	9	shukla	shukla	PROPN
ejpam-6486	313	10	,	,	PUNCT
ejpam-6486	313	11	and	and	CCONJ
ejpam-6486	313	12	s.	s.	PROPN
ejpam-6486	314	1	radenović.	radenović.	PROPN
ejpam-6486	314	2	a	a	DET
ejpam-6486	314	3	new	new	ADJ
ejpam-6486	314	4	approach	approach	NOUN
ejpam-6486	314	5	to	to	ADP
ejpam-6486	314	6	the	the	DET
ejpam-6486	314	7	study	study	NOUN
ejpam-6486	314	8	of	of	ADP
ejpam-6486	314	9	fixed	fix	VERB
ejpam-6486	314	10	point	point	NOUN
ejpam-6486	314	11	theory	theory	NOUN
ejpam-6486	314	12	for	for	ADP
ejpam-6486	314	13	simulation	simulation	NOUN
ejpam-6486	314	14	functions	function	NOUN
ejpam-6486	314	15	.	.	PUNCT
ejpam-6486	315	1	filomat	filomat	NOUN
ejpam-6486	315	2	,	,	PUNCT
ejpam-6486	315	3	29(6):1189–1194	29(6):1189–1194	PROPN
ejpam-6486	315	4	,	,	PUNCT
ejpam-6486	315	5	2015	2015	NUM
ejpam-6486	315	6	.	.	PUNCT
ejpam-6486	316	1	[	[	X
ejpam-6486	316	2	2	2	NUM
ejpam-6486	316	3	]	]	PUNCT
ejpam-6486	316	4	m.	m.	NOUN
ejpam-6486	316	5	turinici	turinici	PROPN
ejpam-6486	316	6	.	.	PUNCT
ejpam-6486	317	1	abstract	abstract	ADJ
ejpam-6486	317	2	comparison	comparison	NOUN
ejpam-6486	317	3	principles	principle	NOUN
ejpam-6486	317	4	and	and	CCONJ
ejpam-6486	317	5	multivariable	multivariable	ADJ
ejpam-6486	317	6	gronwall	gronwall	ADJ
ejpam-6486	317	7	-	-	PUNCT
ejpam-6486	317	8	bellman	bellman	NOUN
ejpam-6486	317	9	inequalities	inequality	NOUN
ejpam-6486	317	10	.	.	PUNCT
ejpam-6486	318	1	journal	journal	PROPN
ejpam-6486	318	2	of	of	ADP
ejpam-6486	318	3	mathematical	mathematical	ADJ
ejpam-6486	318	4	analysis	analysis	NOUN
ejpam-6486	318	5	and	and	CCONJ
ejpam-6486	318	6	applications	application	NOUN
ejpam-6486	318	7	,	,	PUNCT
ejpam-6486	318	8	117:100–127	117:100–127	NUM
ejpam-6486	318	9	,	,	PUNCT
ejpam-6486	318	10	1986	1986	NUM
ejpam-6486	318	11	.	.	PUNCT
ejpam-6486	319	1	a.	a.	NOUN
ejpam-6486	319	2	moussaoui	moussaoui	PROPN
ejpam-6486	319	3	,	,	PUNCT
ejpam-6486	319	4	m.	m.	NOUN
ejpam-6486	319	5	pantović	pantović	NOUN
ejpam-6486	319	6	,	,	PUNCT
ejpam-6486	319	7	s.	s.	PROPN
ejpam-6486	319	8	radenović	radenović	PROPN
ejpam-6486	319	9	/	/	SYM
ejpam-6486	319	10	eur	eur	PROPN
ejpam-6486	319	11	.	.	PUNCT
ejpam-6486	320	1	j.	j.	PROPN
ejpam-6486	320	2	pure	pure	PROPN
ejpam-6486	320	3	appl	appl	PROPN
ejpam-6486	320	4	.	.	PROPN
ejpam-6486	320	5	math	math	PROPN
ejpam-6486	320	6	,	,	PUNCT
ejpam-6486	320	7	18	18	NUM
ejpam-6486	320	8	(	(	PUNCT
ejpam-6486	320	9	3	3	NUM
ejpam-6486	320	10	)	)	PUNCT
ejpam-6486	320	11	(	(	PUNCT
ejpam-6486	320	12	2025	2025	NUM
ejpam-6486	320	13	)	)	PUNCT
ejpam-6486	320	14	,	,	PUNCT
ejpam-6486	320	15	6486	6486	NUM
ejpam-6486	320	16	17	17	NUM
ejpam-6486	320	17	of	of	ADP
ejpam-6486	320	18	18	18	NUM
ejpam-6486	320	19	[	[	SYM
ejpam-6486	320	20	3	3	NUM
ejpam-6486	320	21	]	]	PUNCT
ejpam-6486	320	22	a.	a.	NOUN
ejpam-6486	320	23	c.	c.	PROPN
ejpam-6486	320	24	m.	m.	PROPN
ejpam-6486	320	25	ran	run	VERB
ejpam-6486	320	26	and	and	CCONJ
ejpam-6486	320	27	m.	m.	PROPN
ejpam-6486	320	28	c.	c.	PROPN
ejpam-6486	320	29	b.	b.	PROPN
ejpam-6486	320	30	reurings	reurings	PROPN
ejpam-6486	320	31	.	.	PUNCT
ejpam-6486	321	1	a	a	DET
ejpam-6486	321	2	fixed	fix	VERB
ejpam-6486	321	3	point	point	NOUN
ejpam-6486	321	4	theorem	theorem	VERB
ejpam-6486	321	5	in	in	ADP
ejpam-6486	321	6	partially	partially	ADV
ejpam-6486	321	7	ordered	order	VERB
ejpam-6486	321	8	sets	set	NOUN
ejpam-6486	321	9	and	and	CCONJ
ejpam-6486	321	10	some	some	DET
ejpam-6486	321	11	applications	application	NOUN
ejpam-6486	321	12	to	to	PART
ejpam-6486	321	13	matrix	matrix	VERB
ejpam-6486	321	14	equations	equation	NOUN
ejpam-6486	321	15	.	.	PUNCT
ejpam-6486	322	1	proceedings	proceeding	NOUN
ejpam-6486	322	2	of	of	ADP
ejpam-6486	322	3	the	the	DET
ejpam-6486	322	4	american	american	PROPN
ejpam-6486	322	5	mathematical	mathematical	PROPN
ejpam-6486	322	6	society	society	NOUN
ejpam-6486	322	7	,	,	PUNCT
ejpam-6486	322	8	132:1435–1443	132:1435–1443	NUM
ejpam-6486	322	9	,	,	PUNCT
ejpam-6486	322	10	2004	2004	NUM
ejpam-6486	322	11	.	.	PUNCT
ejpam-6486	323	1	[	[	X
ejpam-6486	323	2	4	4	NUM
ejpam-6486	323	3	]	]	PUNCT
ejpam-6486	323	4	a.	a.	NOUN
ejpam-6486	323	5	alam	alam	PROPN
ejpam-6486	323	6	and	and	CCONJ
ejpam-6486	323	7	m.	m.	PROPN
ejpam-6486	323	8	imdad	imdad	PROPN
ejpam-6486	323	9	.	.	PUNCT
ejpam-6486	324	1	relation	relation	NOUN
ejpam-6486	324	2	-	-	PUNCT
ejpam-6486	324	3	theoretic	theoretic	NOUN
ejpam-6486	324	4	contraction	contraction	NOUN
ejpam-6486	324	5	principle	principle	NOUN
ejpam-6486	324	6	.	.	PUNCT
ejpam-6486	325	1	journal	journal	NOUN
ejpam-6486	325	2	of	of	ADP
ejpam-6486	325	3	fixed	fix	VERB
ejpam-6486	325	4	point	point	NOUN
ejpam-6486	325	5	theory	theory	NOUN
ejpam-6486	325	6	and	and	CCONJ
ejpam-6486	325	7	applications	application	NOUN
ejpam-6486	325	8	,	,	PUNCT
ejpam-6486	325	9	17:693–702	17:693–702	NUM
ejpam-6486	325	10	,	,	PUNCT
ejpam-6486	325	11	2015	2015	NUM
ejpam-6486	325	12	.	.	PUNCT
ejpam-6486	326	1	[	[	X
ejpam-6486	326	2	5	5	X
ejpam-6486	326	3	]	]	PUNCT
ejpam-6486	326	4	w.	w.	PROPN
ejpam-6486	326	5	m.	m.	PROPN
ejpam-6486	326	6	alfaqih	alfaqih	PROPN
ejpam-6486	326	7	,	,	PUNCT
ejpam-6486	326	8	b.	b.	PROPN
ejpam-6486	326	9	ali	ali	PROPN
ejpam-6486	326	10	,	,	PUNCT
ejpam-6486	326	11	r.	r.	PROPN
ejpam-6486	326	12	gubran	gubran	PROPN
ejpam-6486	326	13	,	,	PUNCT
ejpam-6486	326	14	and	and	CCONJ
ejpam-6486	326	15	i.	i.	PROPN
ejpam-6486	326	16	a.	a.	PROPN
ejpam-6486	326	17	khan	khan	PROPN
ejpam-6486	326	18	.	.	PUNCT
ejpam-6486	327	1	relation	relation	NOUN
ejpam-6486	327	2	-	-	PUNCT
ejpam-6486	327	3	theoretic	theoretic	NOUN
ejpam-6486	327	4	coincidence	coincidence	NOUN
ejpam-6486	327	5	and	and	CCONJ
ejpam-6486	327	6	common	common	ADJ
ejpam-6486	327	7	fixed	fix	VERB
ejpam-6486	327	8	point	point	NOUN
ejpam-6486	327	9	results	result	NOUN
ejpam-6486	327	10	under	under	ADP
ejpam-6486	327	11	(	(	PUNCT
ejpam-6486	327	12	f	f	X
ejpam-6486	327	13	,	,	PUNCT
ejpam-6486	327	14	r)g	r)g	ADJ
ejpam-6486	327	15	-	-	NOUN
ejpam-6486	327	16	contractions	contraction	NOUN
ejpam-6486	327	17	with	with	ADP
ejpam-6486	327	18	an	an	DET
ejpam-6486	327	19	application	application	NOUN
ejpam-6486	327	20	.	.	PUNCT
ejpam-6486	328	1	fixed	fix	VERB
ejpam-6486	328	2	point	point	NOUN
ejpam-6486	328	3	theory	theory	NOUN
ejpam-6486	328	4	and	and	CCONJ
ejpam-6486	328	5	applications	application	NOUN
ejpam-6486	328	6	,	,	PUNCT
ejpam-6486	328	7	page	page	NOUN
ejpam-6486	328	8	12	12	NUM
ejpam-6486	328	9	,	,	PUNCT
ejpam-6486	328	10	2019	2019	NUM
ejpam-6486	328	11	.	.	PUNCT
ejpam-6486	329	1	[	[	X
ejpam-6486	329	2	6	6	NUM
ejpam-6486	329	3	]	]	PUNCT
ejpam-6486	329	4	s.	s.	PROPN
ejpam-6486	329	5	antal	antal	PROPN
ejpam-6486	329	6	,	,	PUNCT
ejpam-6486	329	7	a.	a.	NOUN
ejpam-6486	329	8	tomar	tomar	PROPN
ejpam-6486	329	9	,	,	PUNCT
ejpam-6486	329	10	and	and	CCONJ
ejpam-6486	329	11	u.	u.	PROPN
ejpam-6486	329	12	gairola	gairola	PROPN
ejpam-6486	329	13	.	.	PUNCT
ejpam-6486	330	1	relation	relation	NOUN
ejpam-6486	330	2	theoretic	theoretic	NOUN
ejpam-6486	330	3	results	result	NOUN
ejpam-6486	330	4	via	via	ADP
ejpam-6486	330	5	simulation	simulation	NOUN
ejpam-6486	330	6	function	function	NOUN
ejpam-6486	330	7	with	with	ADP
ejpam-6486	330	8	applications	application	NOUN
ejpam-6486	330	9	.	.	PUNCT
ejpam-6486	331	1	international	international	ADJ
ejpam-6486	331	2	journal	journal	PROPN
ejpam-6486	331	3	of	of	ADP
ejpam-6486	331	4	nonlinear	nonlinear	ADJ
ejpam-6486	331	5	analysis	analysis	NOUN
ejpam-6486	331	6	and	and	CCONJ
ejpam-6486	331	7	applications	application	NOUN
ejpam-6486	331	8	,	,	PUNCT
ejpam-6486	331	9	13(1):1769–1783	13(1):1769–1783	NUM
ejpam-6486	331	10	,	,	PUNCT
ejpam-6486	331	11	2022	2022	NUM
ejpam-6486	331	12	.	.	PUNCT
ejpam-6486	332	1	[	[	X
ejpam-6486	332	2	7	7	X
ejpam-6486	332	3	]	]	X
ejpam-6486	332	4	m.	m.	NOUN
ejpam-6486	332	5	hasanuzzaman	hasanuzzaman	NOUN
ejpam-6486	332	6	and	and	CCONJ
ejpam-6486	332	7	m.	m.	PROPN
ejpam-6486	332	8	imdad	imdad	PROPN
ejpam-6486	332	9	.	.	PUNCT
ejpam-6486	333	1	relation	relation	NOUN
ejpam-6486	333	2	-	-	PUNCT
ejpam-6486	333	3	theoretic	theoretic	NOUN
ejpam-6486	333	4	metrical	metrical	ADJ
ejpam-6486	333	5	fixed	fix	VERB
ejpam-6486	333	6	point	point	NOUN
ejpam-6486	333	7	results	result	NOUN
ejpam-6486	333	8	for	for	ADP
ejpam-6486	333	9	suzuki	suzuki	NOUN
ejpam-6486	333	10	type	type	NOUN
ejpam-6486	333	11	zr	zr	NOUN
ejpam-6486	333	12	-	-	NOUN
ejpam-6486	333	13	contraction	contraction	NOUN
ejpam-6486	333	14	with	with	ADP
ejpam-6486	333	15	an	an	DET
ejpam-6486	333	16	application	application	NOUN
ejpam-6486	333	17	.	.	PUNCT
ejpam-6486	334	1	aims	aim	VERB
ejpam-6486	334	2	mathematics	mathematic	NOUN
ejpam-6486	334	3	,	,	PUNCT
ejpam-6486	334	4	5(3):2071–2087	5(3):2071–2087	PROPN
ejpam-6486	334	5	,	,	PUNCT
ejpam-6486	334	6	2020	2020	NUM
ejpam-6486	334	7	.	.	PUNCT
ejpam-6486	335	1	[	[	X
ejpam-6486	335	2	8	8	NUM
ejpam-6486	335	3	]	]	PUNCT
ejpam-6486	335	4	m.	m.	NOUN
ejpam-6486	335	5	imdad	imdad	PROPN
ejpam-6486	335	6	,	,	PUNCT
ejpam-6486	335	7	q.	q.	PROPN
ejpam-6486	335	8	khan	khan	PROPN
ejpam-6486	335	9	,	,	PUNCT
ejpam-6486	335	10	w.	w.	PROPN
ejpam-6486	335	11	m.	m.	PROPN
ejpam-6486	335	12	alfaqih	alfaqih	PROPN
ejpam-6486	335	13	,	,	PUNCT
ejpam-6486	335	14	and	and	CCONJ
ejpam-6486	335	15	r.	r.	PROPN
ejpam-6486	335	16	gubran	gubran	PROPN
ejpam-6486	335	17	.	.	PUNCT
ejpam-6486	336	1	a	a	DET
ejpam-6486	336	2	relation	relation	NOUN
ejpam-6486	336	3	-	-	PUNCT
ejpam-6486	336	4	theoretic	theoretic	NOUN
ejpam-6486	336	5	(	(	PUNCT
ejpam-6486	336	6	f	f	X
ejpam-6486	336	7	,	,	PUNCT
ejpam-6486	336	8	r)contraction	r)contraction	NOUN
ejpam-6486	336	9	principle	principle	NOUN
ejpam-6486	336	10	with	with	ADP
ejpam-6486	336	11	applications	application	NOUN
ejpam-6486	336	12	to	to	PART
ejpam-6486	336	13	matrix	matrix	VERB
ejpam-6486	336	14	equations	equation	NOUN
ejpam-6486	336	15	.	.	PUNCT
ejpam-6486	337	1	bulletin	bulletin	NOUN
ejpam-6486	337	2	of	of	ADP
ejpam-6486	337	3	mathematical	mathematical	ADJ
ejpam-6486	337	4	analysis	analysis	NOUN
ejpam-6486	337	5	and	and	CCONJ
ejpam-6486	337	6	applications	application	NOUN
ejpam-6486	337	7	,	,	PUNCT
ejpam-6486	337	8	10:1–12	10:1–12	NUM
ejpam-6486	337	9	,	,	PUNCT
ejpam-6486	337	10	2018	2018	NUM
ejpam-6486	337	11	.	.	PUNCT
ejpam-6486	338	1	[	[	X
ejpam-6486	338	2	9	9	NUM
ejpam-6486	338	3	]	]	PUNCT
ejpam-6486	338	4	k.	k.	PROPN
ejpam-6486	338	5	javed	javed	PROPN
ejpam-6486	338	6	,	,	PUNCT
ejpam-6486	338	7	f.	f.	PROPN
ejpam-6486	338	8	uddin	uddin	PROPN
ejpam-6486	338	9	,	,	PUNCT
ejpam-6486	338	10	h.	h.	PROPN
ejpam-6486	338	11	aydi	aydi	PROPN
ejpam-6486	338	12	,	,	PUNCT
ejpam-6486	338	13	a.	a.	NOUN
ejpam-6486	338	14	mukheimer	mukheimer	NOUN
ejpam-6486	338	15	,	,	PUNCT
ejpam-6486	338	16	and	and	CCONJ
ejpam-6486	338	17	m.	m.	PROPN
ejpam-6486	338	18	arshad	arshad	PROPN
ejpam-6486	338	19	.	.	PUNCT
ejpam-6486	338	20	ordered	order	VERB
ejpam-6486	338	21	-	-	PUNCT
ejpam-6486	338	22	theoretic	theoretic	ADJ
ejpam-6486	338	23	fixed	fix	VERB
ejpam-6486	338	24	point	point	NOUN
ejpam-6486	338	25	results	result	NOUN
ejpam-6486	338	26	in	in	ADP
ejpam-6486	338	27	fuzzy	fuzzy	ADJ
ejpam-6486	338	28	b	b	X
ejpam-6486	338	29	-	-	ADJ
ejpam-6486	338	30	metric	metric	ADJ
ejpam-6486	338	31	spaces	space	NOUN
ejpam-6486	338	32	with	with	ADP
ejpam-6486	338	33	an	an	DET
ejpam-6486	338	34	application	application	NOUN
ejpam-6486	338	35	.	.	PUNCT
ejpam-6486	339	1	journal	journal	NOUN
ejpam-6486	339	2	of	of	ADP
ejpam-6486	339	3	mathematics	mathematic	NOUN
ejpam-6486	339	4	,	,	PUNCT
ejpam-6486	339	5	page	page	NOUN
ejpam-6486	339	6	6663707	6663707	NUM
ejpam-6486	339	7	,	,	PUNCT
ejpam-6486	339	8	2021	2021	NUM
ejpam-6486	339	9	.	.	PUNCT
ejpam-6486	340	1	[	[	X
ejpam-6486	340	2	10	10	NUM
ejpam-6486	340	3	]	]	X
ejpam-6486	340	4	s.	s.	PROPN
ejpam-6486	340	5	m.	m.	PROPN
ejpam-6486	340	6	saleh	saleh	PROPN
ejpam-6486	340	7	,	,	PUNCT
ejpam-6486	340	8	w.	w.	PROPN
ejpam-6486	340	9	m.	m.	PROPN
ejpam-6486	340	10	alfaqih	alfaqih	PROPN
ejpam-6486	340	11	,	,	PUNCT
ejpam-6486	340	12	s.	s.	PROPN
ejpam-6486	340	13	sessa	sessa	PROPN
ejpam-6486	340	14	,	,	PUNCT
ejpam-6486	340	15	and	and	CCONJ
ejpam-6486	340	16	f.	f.	PROPN
ejpam-6486	340	17	di	di	PROPN
ejpam-6486	340	18	martino	martino	PROPN
ejpam-6486	340	19	.	.	PUNCT
ejpam-6486	341	1	new	new	ADJ
ejpam-6486	341	2	relation	relation	NOUN
ejpam-6486	341	3	-	-	PUNCT
ejpam-6486	341	4	theoretic	theoretic	NOUN
ejpam-6486	341	5	fixed	fix	VERB
ejpam-6486	341	6	point	point	NOUN
ejpam-6486	341	7	theorems	theorem	NOUN
ejpam-6486	341	8	in	in	ADP
ejpam-6486	341	9	fuzzy	fuzzy	ADJ
ejpam-6486	341	10	metric	metric	ADJ
ejpam-6486	341	11	spaces	space	NOUN
ejpam-6486	341	12	with	with	ADP
ejpam-6486	341	13	an	an	DET
ejpam-6486	341	14	application	application	NOUN
ejpam-6486	341	15	to	to	ADP
ejpam-6486	341	16	fractional	fractional	ADJ
ejpam-6486	341	17	differential	differential	ADJ
ejpam-6486	341	18	equations	equation	NOUN
ejpam-6486	341	19	.	.	PUNCT
ejpam-6486	342	1	axioms	axiom	NOUN
ejpam-6486	342	2	,	,	PUNCT
ejpam-6486	342	3	11:117	11:117	NUM
ejpam-6486	342	4	,	,	PUNCT
ejpam-6486	342	5	2022	2022	NUM
ejpam-6486	342	6	.	.	PUNCT
ejpam-6486	343	1	[	[	X
ejpam-6486	343	2	11	11	NUM
ejpam-6486	343	3	]	]	PUNCT
ejpam-6486	343	4	l.	l.	PROPN
ejpam-6486	343	5	a.	a.	PROPN
ejpam-6486	343	6	zadeh	zadeh	PROPN
ejpam-6486	343	7	.	.	PUNCT
ejpam-6486	343	8	fuzzy	fuzzy	ADJ
ejpam-6486	343	9	sets	set	NOUN
ejpam-6486	343	10	.	.	PUNCT
ejpam-6486	344	1	information	information	NOUN
ejpam-6486	344	2	and	and	CCONJ
ejpam-6486	344	3	control	control	NOUN
ejpam-6486	344	4	,	,	PUNCT
ejpam-6486	344	5	8:338–353	8:338–353	NUM
ejpam-6486	344	6	,	,	PUNCT
ejpam-6486	344	7	1965	1965	NUM
ejpam-6486	344	8	.	.	PUNCT
ejpam-6486	345	1	[	[	X
ejpam-6486	345	2	12	12	NUM
ejpam-6486	345	3	]	]	PUNCT
ejpam-6486	345	4	i.	i.	NOUN
ejpam-6486	345	5	kramosil	kramosil	PROPN
ejpam-6486	345	6	and	and	CCONJ
ejpam-6486	345	7	j.	j.	PROPN
ejpam-6486	345	8	michálek	michálek	PROPN
ejpam-6486	345	9	.	.	PROPN
ejpam-6486	345	10	fuzzy	fuzzy	ADJ
ejpam-6486	345	11	metrics	metric	NOUN
ejpam-6486	345	12	and	and	CCONJ
ejpam-6486	345	13	statistical	statistical	ADJ
ejpam-6486	345	14	metric	metric	ADJ
ejpam-6486	345	15	spaces	space	NOUN
ejpam-6486	345	16	.	.	PUNCT
ejpam-6486	346	1	kybernetika	kybernetika	PROPN
ejpam-6486	346	2	,	,	PUNCT
ejpam-6486	346	3	11(5):336–344	11(5):336–344	PROPN
ejpam-6486	346	4	,	,	PUNCT
ejpam-6486	346	5	1975	1975	NUM
ejpam-6486	346	6	.	.	PUNCT
ejpam-6486	347	1	[	[	X
ejpam-6486	347	2	13	13	NUM
ejpam-6486	347	3	]	]	PUNCT
ejpam-6486	347	4	a.	a.	NOUN
ejpam-6486	347	5	george	george	PROPN
ejpam-6486	347	6	and	and	CCONJ
ejpam-6486	347	7	p.	p.	PROPN
ejpam-6486	347	8	veeramani	veeramani	PROPN
ejpam-6486	347	9	.	.	PUNCT
ejpam-6486	348	1	on	on	ADP
ejpam-6486	348	2	some	some	DET
ejpam-6486	348	3	results	result	NOUN
ejpam-6486	348	4	in	in	ADP
ejpam-6486	348	5	fuzzy	fuzzy	ADJ
ejpam-6486	348	6	metric	metric	ADJ
ejpam-6486	348	7	spaces	space	NOUN
ejpam-6486	348	8	.	.	PUNCT
ejpam-6486	349	1	fuzzy	fuzzy	ADJ
ejpam-6486	349	2	sets	set	NOUN
ejpam-6486	349	3	and	and	CCONJ
ejpam-6486	349	4	systems	system	NOUN
ejpam-6486	349	5	,	,	PUNCT
ejpam-6486	349	6	64(3):395–399	64(3):395–399	PROPN
ejpam-6486	349	7	,	,	PUNCT
ejpam-6486	349	8	1994	1994	NUM
ejpam-6486	349	9	.	.	PUNCT
ejpam-6486	350	1	[	[	X
ejpam-6486	350	2	14	14	NUM
ejpam-6486	350	3	]	]	X
ejpam-6486	350	4	v.	v.	CCONJ
ejpam-6486	350	5	gregori	gregori	PROPN
ejpam-6486	350	6	and	and	CCONJ
ejpam-6486	350	7	a.	a.	NOUN
ejpam-6486	350	8	sapena	sapena	NOUN
ejpam-6486	350	9	.	.	PUNCT
ejpam-6486	351	1	on	on	ADP
ejpam-6486	351	2	fixed	fix	VERB
ejpam-6486	351	3	-	-	PUNCT
ejpam-6486	351	4	point	point	NOUN
ejpam-6486	351	5	theorems	theorem	NOUN
ejpam-6486	351	6	in	in	ADP
ejpam-6486	351	7	fuzzy	fuzzy	ADJ
ejpam-6486	351	8	metric	metric	ADJ
ejpam-6486	351	9	spaces	space	NOUN
ejpam-6486	351	10	.	.	PUNCT
ejpam-6486	352	1	fuzzy	fuzzy	ADJ
ejpam-6486	352	2	sets	set	NOUN
ejpam-6486	352	3	and	and	CCONJ
ejpam-6486	352	4	systems	system	NOUN
ejpam-6486	352	5	,	,	PUNCT
ejpam-6486	352	6	125(2):245–252	125(2):245–252	NUM
ejpam-6486	352	7	,	,	PUNCT
ejpam-6486	352	8	2002	2002	NUM
ejpam-6486	352	9	.	.	PUNCT
ejpam-6486	353	1	[	[	X
ejpam-6486	353	2	15	15	NUM
ejpam-6486	353	3	]	]	X
ejpam-6486	353	4	d.	d.	PROPN
ejpam-6486	353	5	miheţ.	miheţ.	PROPN
ejpam-6486	353	6	fuzzy	fuzzy	ADJ
ejpam-6486	353	7	ψ	ψ	ADJ
ejpam-6486	353	8	-	-	ADJ
ejpam-6486	353	9	contractive	contractive	ADJ
ejpam-6486	353	10	mappings	mapping	NOUN
ejpam-6486	353	11	in	in	ADP
ejpam-6486	353	12	non	non	ADJ
ejpam-6486	353	13	-	-	ADJ
ejpam-6486	353	14	archimedean	archimedean	ADJ
ejpam-6486	353	15	fuzzy	fuzzy	ADJ
ejpam-6486	353	16	metric	metric	ADJ
ejpam-6486	353	17	spaces	space	NOUN
ejpam-6486	353	18	.	.	PUNCT
ejpam-6486	354	1	fuzzy	fuzzy	ADJ
ejpam-6486	354	2	sets	set	NOUN
ejpam-6486	354	3	and	and	CCONJ
ejpam-6486	354	4	systems	system	NOUN
ejpam-6486	354	5	,	,	PUNCT
ejpam-6486	354	6	159(6):739–744	159(6):739–744	NUM
ejpam-6486	354	7	,	,	PUNCT
ejpam-6486	354	8	2008	2008	NUM
ejpam-6486	354	9	.	.	PUNCT
ejpam-6486	355	1	[	[	X
ejpam-6486	355	2	16	16	NUM
ejpam-6486	355	3	]	]	X
ejpam-6486	355	4	d.	d.	PROPN
ejpam-6486	355	5	wardowski	wardowski	PROPN
ejpam-6486	355	6	.	.	PUNCT
ejpam-6486	356	1	fuzzy	fuzzy	ADJ
ejpam-6486	356	2	contractive	contractive	ADJ
ejpam-6486	356	3	mappings	mapping	NOUN
ejpam-6486	356	4	and	and	CCONJ
ejpam-6486	356	5	fixed	fix	VERB
ejpam-6486	356	6	points	point	NOUN
ejpam-6486	356	7	in	in	ADP
ejpam-6486	356	8	fuzzy	fuzzy	ADJ
ejpam-6486	356	9	metric	metric	ADJ
ejpam-6486	356	10	spaces	space	NOUN
ejpam-6486	356	11	.	.	PUNCT
ejpam-6486	357	1	fuzzy	fuzzy	ADJ
ejpam-6486	357	2	sets	set	NOUN
ejpam-6486	357	3	and	and	CCONJ
ejpam-6486	357	4	systems	system	NOUN
ejpam-6486	357	5	,	,	PUNCT
ejpam-6486	357	6	222:108–114	222:108–114	NUM
ejpam-6486	357	7	,	,	PUNCT
ejpam-6486	357	8	2013	2013	NUM
ejpam-6486	357	9	.	.	PUNCT
ejpam-6486	358	1	[	[	X
ejpam-6486	358	2	17	17	NUM
ejpam-6486	358	3	]	]	X
ejpam-6486	358	4	s.	s.	PROPN
ejpam-6486	358	5	melliani	melliani	PROPN
ejpam-6486	358	6	and	and	CCONJ
ejpam-6486	358	7	a.	a.	PROPN
ejpam-6486	358	8	moussaoui	moussaoui	PROPN
ejpam-6486	358	9	.	.	PUNCT
ejpam-6486	359	1	fixed	fix	VERB
ejpam-6486	359	2	point	point	NOUN
ejpam-6486	359	3	theorem	theorem	ADJ
ejpam-6486	359	4	using	use	VERB
ejpam-6486	359	5	a	a	DET
ejpam-6486	359	6	new	new	ADJ
ejpam-6486	359	7	class	class	NOUN
ejpam-6486	359	8	of	of	ADP
ejpam-6486	359	9	fuzzy	fuzzy	ADJ
ejpam-6486	359	10	contractive	contractive	ADJ
ejpam-6486	359	11	mappings	mapping	NOUN
ejpam-6486	359	12	.	.	PUNCT
ejpam-6486	360	1	journal	journal	NOUN
ejpam-6486	360	2	of	of	ADP
ejpam-6486	360	3	universal	universal	ADJ
ejpam-6486	360	4	mathematics	mathematic	NOUN
ejpam-6486	360	5	,	,	PUNCT
ejpam-6486	360	6	1(2):148–154	1(2):148–154	NUM
ejpam-6486	360	7	,	,	PUNCT
ejpam-6486	360	8	2018	2018	NUM
ejpam-6486	360	9	.	.	PUNCT
ejpam-6486	361	1	[	[	X
ejpam-6486	361	2	18	18	NUM
ejpam-6486	361	3	]	]	X
ejpam-6486	361	4	d.	d.	PROPN
ejpam-6486	361	5	gopal	gopal	PROPN
ejpam-6486	361	6	and	and	CCONJ
ejpam-6486	361	7	c.	c.	PROPN
ejpam-6486	361	8	vetro	vetro	PROPN
ejpam-6486	361	9	.	.	PUNCT
ejpam-6486	362	1	some	some	DET
ejpam-6486	362	2	new	new	ADJ
ejpam-6486	362	3	fixed	fix	VERB
ejpam-6486	362	4	point	point	NOUN
ejpam-6486	362	5	theorems	theorem	NOUN
ejpam-6486	362	6	in	in	ADP
ejpam-6486	362	7	fuzzy	fuzzy	ADJ
ejpam-6486	362	8	metric	metric	ADJ
ejpam-6486	362	9	spaces	space	NOUN
ejpam-6486	362	10	.	.	PUNCT
ejpam-6486	363	1	iranian	iranian	ADJ
ejpam-6486	363	2	journal	journal	PROPN
ejpam-6486	363	3	of	of	ADP
ejpam-6486	363	4	fuzzy	fuzzy	ADJ
ejpam-6486	363	5	systems	system	NOUN
ejpam-6486	363	6	,	,	PUNCT
ejpam-6486	363	7	11(3):95–107	11(3):95–107	NUM
ejpam-6486	363	8	,	,	PUNCT
ejpam-6486	363	9	2014	2014	NUM
ejpam-6486	363	10	.	.	PUNCT
ejpam-6486	364	1	[	[	X
ejpam-6486	364	2	19	19	NUM
ejpam-6486	364	3	]	]	PUNCT
ejpam-6486	364	4	m.	m.	NOUN
ejpam-6486	364	5	grabiec	grabiec	PROPN
ejpam-6486	364	6	.	.	PUNCT
ejpam-6486	365	1	fixed	fix	VERB
ejpam-6486	365	2	points	point	NOUN
ejpam-6486	365	3	in	in	ADP
ejpam-6486	365	4	fuzzy	fuzzy	ADJ
ejpam-6486	365	5	metric	metric	ADJ
ejpam-6486	365	6	spaces	space	NOUN
ejpam-6486	365	7	.	.	PUNCT
ejpam-6486	366	1	fuzzy	fuzzy	ADJ
ejpam-6486	366	2	sets	set	NOUN
ejpam-6486	366	3	and	and	CCONJ
ejpam-6486	366	4	systems	system	NOUN
ejpam-6486	366	5	,	,	PUNCT
ejpam-6486	366	6	27(3):385	27(3):385	NUM
ejpam-6486	366	7	–	–	PUNCT
ejpam-6486	366	8	389	389	NUM
ejpam-6486	366	9	,	,	PUNCT
ejpam-6486	366	10	1988	1988	NUM
ejpam-6486	366	11	.	.	PUNCT
ejpam-6486	367	1	[	[	X
ejpam-6486	367	2	20	20	NUM
ejpam-6486	367	3	]	]	X
ejpam-6486	367	4	n.	n.	PROPN
ejpam-6486	367	5	s.	s.	PROPN
ejpam-6486	367	6	hayel	hayel	PROPN
ejpam-6486	367	7	,	,	PUNCT
ejpam-6486	367	8	i.	i.	PROPN
ejpam-6486	367	9	a.	a.	PROPN
ejpam-6486	367	10	khan	khan	PROPN
ejpam-6486	367	11	,	,	PUNCT
ejpam-6486	367	12	m.	m.	NOUN
ejpam-6486	367	13	imdad	imdad	PROPN
ejpam-6486	367	14	,	,	PUNCT
ejpam-6486	367	15	and	and	CCONJ
ejpam-6486	367	16	w.	w.	PROPN
ejpam-6486	367	17	m.	m.	PROPN
ejpam-6486	367	18	alfaqih	alfaqih	PROPN
ejpam-6486	367	19	.	.	PUNCT
ejpam-6486	368	1	new	new	ADJ
ejpam-6486	368	2	fuzzy	fuzzy	ADJ
ejpam-6486	368	3	φ	φ	VERB
ejpam-6486	368	4	-	-	PUNCT
ejpam-6486	368	5	fixed	fix	VERB
ejpam-6486	368	6	point	point	NOUN
ejpam-6486	368	7	results	result	NOUN
ejpam-6486	368	8	employing	employ	VERB
ejpam-6486	368	9	a	a	DET
ejpam-6486	368	10	new	new	ADJ
ejpam-6486	368	11	class	class	NOUN
ejpam-6486	368	12	of	of	ADP
ejpam-6486	368	13	fuzzy	fuzzy	ADJ
ejpam-6486	368	14	contractive	contractive	ADJ
ejpam-6486	368	15	mappings	mapping	NOUN
ejpam-6486	368	16	.	.	PUNCT
ejpam-6486	369	1	journal	journal	NOUN
ejpam-6486	369	2	of	of	ADP
ejpam-6486	369	3	intelligent	intelligent	ADJ
ejpam-6486	369	4	and	and	CCONJ
ejpam-6486	369	5	fuzzy	fuzzy	ADJ
ejpam-6486	369	6	systems	system	NOUN
ejpam-6486	369	7	,	,	PUNCT
ejpam-6486	369	8	37(4):5391–5402	37(4):5391–5402	NUM
ejpam-6486	369	9	,	,	PUNCT
ejpam-6486	369	10	2019	2019	NUM
ejpam-6486	369	11	.	.	PUNCT
ejpam-6486	370	1	a.	a.	NOUN
ejpam-6486	370	2	moussaoui	moussaoui	PROPN
ejpam-6486	370	3	,	,	PUNCT
ejpam-6486	370	4	m.	m.	NOUN
ejpam-6486	370	5	pantović	pantović	NOUN
ejpam-6486	370	6	,	,	PUNCT
ejpam-6486	370	7	s.	s.	PROPN
ejpam-6486	370	8	radenović	radenović	PROPN
ejpam-6486	370	9	/	/	SYM
ejpam-6486	370	10	eur	eur	PROPN
ejpam-6486	370	11	.	.	PUNCT
ejpam-6486	371	1	j.	j.	PROPN
ejpam-6486	371	2	pure	pure	PROPN
ejpam-6486	371	3	appl	appl	PROPN
ejpam-6486	371	4	.	.	PROPN
ejpam-6486	371	5	math	math	PROPN
ejpam-6486	371	6	,	,	PUNCT
ejpam-6486	371	7	18	18	NUM
ejpam-6486	371	8	(	(	PUNCT
ejpam-6486	371	9	3	3	NUM
ejpam-6486	371	10	)	)	PUNCT
ejpam-6486	371	11	(	(	PUNCT
ejpam-6486	371	12	2025	2025	NUM
ejpam-6486	371	13	)	)	PUNCT
ejpam-6486	371	14	,	,	PUNCT
ejpam-6486	371	15	6486	6486	NUM
ejpam-6486	371	16	18	18	NUM
ejpam-6486	371	17	of	of	ADP
ejpam-6486	371	18	18	18	NUM
ejpam-6486	371	19	[	[	SYM
ejpam-6486	371	20	21	21	NUM
ejpam-6486	371	21	]	]	X
ejpam-6486	371	22	u.	u.	NOUN
ejpam-6486	371	23	ishtiaq	ishtiaq	PROPN
ejpam-6486	371	24	,	,	PUNCT
ejpam-6486	371	25	a.	a.	NOUN
ejpam-6486	371	26	hussain	hussain	PROPN
ejpam-6486	371	27	,	,	PUNCT
ejpam-6486	371	28	and	and	CCONJ
ejpam-6486	371	29	h.	h.	PROPN
ejpam-6486	371	30	al	al	PROPN
ejpam-6486	371	31	sulami	sulami	PROPN
ejpam-6486	371	32	.	.	PUNCT
ejpam-6486	372	1	certain	certain	ADJ
ejpam-6486	372	2	new	new	ADJ
ejpam-6486	372	3	aspects	aspect	NOUN
ejpam-6486	372	4	in	in	ADP
ejpam-6486	372	5	fuzzy	fuzzy	ADJ
ejpam-6486	372	6	fixed	fix	VERB
ejpam-6486	372	7	point	point	NOUN
ejpam-6486	372	8	theory	theory	NOUN
ejpam-6486	372	9	.	.	PUNCT
ejpam-6486	373	1	aims	aim	VERB
ejpam-6486	373	2	mathematics	mathematic	NOUN
ejpam-6486	373	3	,	,	PUNCT
ejpam-6486	373	4	7(5):8558–8573	7(5):8558–8573	NOUN
ejpam-6486	373	5	,	,	PUNCT
ejpam-6486	373	6	2022	2022	NUM
ejpam-6486	373	7	.	.	PUNCT
ejpam-6486	374	1	[	[	X
ejpam-6486	374	2	22	22	NUM
ejpam-6486	374	3	]	]	PUNCT
ejpam-6486	374	4	a.	a.	NOUN
ejpam-6486	374	5	moussaoui	moussaoui	NOUN
ejpam-6486	374	6	,	,	PUNCT
ejpam-6486	374	7	f.	f.	PROPN
ejpam-6486	374	8	a.	a.	PROPN
ejpam-6486	374	9	i.	i.	PROPN
ejpam-6486	374	10	amir	amir	PROPN
ejpam-6486	374	11	,	,	PUNCT
ejpam-6486	374	12	s.	s.	PROPN
ejpam-6486	374	13	radenović	radenović	PROPN
ejpam-6486	374	14	,	,	PUNCT
ejpam-6486	374	15	s.	s.	PROPN
ejpam-6486	374	16	melliani	melliani	PROPN
ejpam-6486	374	17	,	,	PUNCT
ejpam-6486	374	18	and	and	CCONJ
ejpam-6486	374	19	m.	m.	NOUN
ejpam-6486	374	20	elomari	elomari	NOUN
ejpam-6486	374	21	.	.	PUNCT
ejpam-6486	375	1	fixed	fix	VERB
ejpam-6486	375	2	point	point	NOUN
ejpam-6486	375	3	theorems	theorem	NOUN
ejpam-6486	375	4	for	for	ADP
ejpam-6486	375	5	ξ	ξ	PROPN
ejpam-6486	375	6	-	-	PUNCT
ejpam-6486	375	7	α	α	DET
ejpam-6486	375	8	-	-	PUNCT
ejpam-6486	375	9	η	η	NOUN
ejpam-6486	375	10	-	-	ADJ
ejpam-6486	375	11	γ	γ	PROPN
ejpam-6486	375	12	f	f	PROPN
ejpam-6486	375	13	-fuzzy	-fuzzy	PROPN
ejpam-6486	375	14	contraction	contraction	NOUN
ejpam-6486	375	15	with	with	ADP
ejpam-6486	375	16	an	an	DET
ejpam-6486	375	17	application	application	NOUN
ejpam-6486	375	18	to	to	ADP
ejpam-6486	375	19	neutral	neutral	ADJ
ejpam-6486	375	20	fractional	fractional	ADJ
ejpam-6486	375	21	integro	integro	ADJ
ejpam-6486	375	22	-	-	PUNCT
ejpam-6486	375	23	differential	differential	NOUN
ejpam-6486	375	24	equation	equation	NOUN
ejpam-6486	375	25	with	with	ADP
ejpam-6486	375	26	nonlocal	nonlocal	ADJ
ejpam-6486	375	27	conditions	condition	NOUN
ejpam-6486	375	28	.	.	PUNCT
ejpam-6486	376	1	nonlinear	nonlinear	ADJ
ejpam-6486	376	2	analysis	analysis	NOUN
ejpam-6486	376	3	:	:	PUNCT
ejpam-6486	376	4	modelling	modelling	NOUN
ejpam-6486	376	5	and	and	CCONJ
ejpam-6486	376	6	control	control	NOUN
ejpam-6486	376	7	,	,	PUNCT
ejpam-6486	376	8	29(5):939–957	29(5):939–957	NOUN
ejpam-6486	376	9	,	,	PUNCT
ejpam-6486	376	10	2024	2024	NUM
ejpam-6486	376	11	.	.	PUNCT
ejpam-6486	377	1	[	[	X
ejpam-6486	377	2	23	23	NUM
ejpam-6486	377	3	]	]	PUNCT
ejpam-6486	377	4	a.	a.	NOUN
ejpam-6486	377	5	moussaoui	moussaoui	NOUN
ejpam-6486	377	6	,	,	PUNCT
ejpam-6486	377	7	n.	n.	NOUN
ejpam-6486	377	8	hussain	hussain	PROPN
ejpam-6486	377	9	,	,	PUNCT
ejpam-6486	377	10	and	and	CCONJ
ejpam-6486	377	11	s	s	VERB
ejpam-6486	377	12	obama	obama	NOUN
ejpam-6486	377	13	.	.	PUNCT
ejpam-6486	378	1	global	global	ADJ
ejpam-6486	378	2	optimal	optimal	ADJ
ejpam-6486	378	3	solutions	solution	NOUN
ejpam-6486	378	4	for	for	ADP
ejpam-6486	378	5	proximal	proximal	ADJ
ejpam-6486	378	6	fuzzy	fuzzy	ADJ
ejpam-6486	378	7	contractions	contraction	NOUN
ejpam-6486	378	8	involving	involve	VERB
ejpam-6486	378	9	control	control	NOUN
ejpam-6486	378	10	functions	function	NOUN
ejpam-6486	378	11	.	.	PUNCT
ejpam-6486	379	1	journal	journal	NOUN
ejpam-6486	379	2	of	of	ADP
ejpam-6486	379	3	mathematics	mathematic	NOUN
ejpam-6486	379	4	,	,	PUNCT
ejpam-6486	379	5	2021	2021	NUM
ejpam-6486	379	6	.	.	PUNCT
ejpam-6486	380	1	[	[	X
ejpam-6486	380	2	24	24	NUM
ejpam-6486	380	3	]	]	PUNCT
ejpam-6486	380	4	a.	a.	NOUN
ejpam-6486	380	5	moussaoui	moussaoui	NOUN
ejpam-6486	380	6	,	,	PUNCT
ejpam-6486	380	7	n.	n.	PROPN
ejpam-6486	380	8	hussain	hussain	PROPN
ejpam-6486	380	9	,	,	PUNCT
ejpam-6486	380	10	s.	s.	PROPN
ejpam-6486	380	11	melliani	melliani	PROPN
ejpam-6486	380	12	,	,	PUNCT
ejpam-6486	380	13	n.	n.	PROPN
ejpam-6486	380	14	hayel	hayel	PROPN
ejpam-6486	380	15	,	,	PUNCT
ejpam-6486	380	16	and	and	CCONJ
ejpam-6486	380	17	m.	m.	PROPN
ejpam-6486	380	18	imdad	imdad	PROPN
ejpam-6486	380	19	.	.	PUNCT
ejpam-6486	381	1	fixed	fix	VERB
ejpam-6486	381	2	point	point	NOUN
ejpam-6486	381	3	results	result	NOUN
ejpam-6486	381	4	via	via	ADP
ejpam-6486	381	5	extended	extended	ADJ
ejpam-6486	381	6	fz	fz	NOUN
ejpam-6486	381	7	-	-	PUNCT
ejpam-6486	381	8	simulation	simulation	NOUN
ejpam-6486	381	9	functions	function	NOUN
ejpam-6486	381	10	in	in	ADP
ejpam-6486	381	11	fuzzy	fuzzy	ADJ
ejpam-6486	381	12	metric	metric	ADJ
ejpam-6486	381	13	spaces	space	NOUN
ejpam-6486	381	14	.	.	PUNCT
ejpam-6486	382	1	journal	journal	PROPN
ejpam-6486	382	2	of	of	ADP
ejpam-6486	382	3	inequalities	inequality	NOUN
ejpam-6486	382	4	and	and	CCONJ
ejpam-6486	382	5	applications	application	NOUN
ejpam-6486	382	6	,	,	PUNCT
ejpam-6486	382	7	page	page	NOUN
ejpam-6486	382	8	69	69	NUM
ejpam-6486	382	9	,	,	PUNCT
ejpam-6486	382	10	2022	2022	NUM
ejpam-6486	382	11	.	.	PUNCT
ejpam-6486	383	1	[	[	X
ejpam-6486	383	2	25	25	NUM
ejpam-6486	383	3	]	]	PUNCT
ejpam-6486	383	4	a.	a.	NOUN
ejpam-6486	383	5	moussaoui	moussaoui	NOUN
ejpam-6486	383	6	and	and	CCONJ
ejpam-6486	383	7	s.	s.	PROPN
ejpam-6486	383	8	melliani	melliani	PROPN
ejpam-6486	383	9	.	.	PUNCT
ejpam-6486	384	1	fixed	fix	VERB
ejpam-6486	384	2	point	point	NOUN
ejpam-6486	384	3	results	result	NOUN
ejpam-6486	384	4	under	under	ADP
ejpam-6486	384	5	admissible	admissible	ADJ
ejpam-6486	384	6	α	α	PROPN
ejpam-6486	384	7	-	-	PUNCT
ejpam-6486	384	8	η	η	NOUN
ejpam-6486	384	9	-	-	ADJ
ejpam-6486	384	10	f	f	ADJ
ejpam-6486	384	11	-	-	PUNCT
ejpam-6486	384	12	simulation	simulation	NOUN
ejpam-6486	384	13	fuzzy	fuzzy	ADJ
ejpam-6486	384	14	contraction	contraction	NOUN
ejpam-6486	384	15	with	with	ADP
ejpam-6486	384	16	application	application	NOUN
ejpam-6486	384	17	.	.	PUNCT
ejpam-6486	385	1	international	international	ADJ
ejpam-6486	385	2	journal	journal	PROPN
ejpam-6486	385	3	of	of	ADP
ejpam-6486	385	4	system	system	NOUN
ejpam-6486	385	5	assurance	assurance	NOUN
ejpam-6486	385	6	engineering	engineering	NOUN
ejpam-6486	385	7	and	and	CCONJ
ejpam-6486	385	8	management	management	NOUN
ejpam-6486	385	9	,	,	PUNCT
ejpam-6486	385	10	15:3807–3816	15:3807–3816	NUM
ejpam-6486	385	11	,	,	PUNCT
ejpam-6486	385	12	2024	2024	NUM
ejpam-6486	385	13	.	.	PUNCT
ejpam-6486	386	1	[	[	X
ejpam-6486	386	2	26	26	NUM
ejpam-6486	386	3	]	]	PUNCT
ejpam-6486	386	4	a.	a.	NOUN
ejpam-6486	386	5	moussaoui	moussaoui	PROPN
ejpam-6486	386	6	,	,	PUNCT
ejpam-6486	386	7	s.	s.	PROPN
ejpam-6486	386	8	melliani	melliani	PROPN
ejpam-6486	386	9	,	,	PUNCT
ejpam-6486	386	10	and	and	CCONJ
ejpam-6486	386	11	s.	s.	PROPN
ejpam-6486	387	1	radenović.	radenović.	PROPN
ejpam-6486	387	2	a	a	DET
ejpam-6486	387	3	nonlinear	nonlinear	ADJ
ejpam-6486	387	4	fuzzy	fuzzy	ADJ
ejpam-6486	387	5	contraction	contraction	NOUN
ejpam-6486	387	6	principle	principle	NOUN
ejpam-6486	387	7	via	via	ADP
ejpam-6486	387	8	control	control	NOUN
ejpam-6486	387	9	functions	function	NOUN
ejpam-6486	387	10	.	.	PUNCT
ejpam-6486	388	1	filomat	filomat	NOUN
ejpam-6486	388	2	,	,	PUNCT
ejpam-6486	388	3	38(6):1963–1972	38(6):1963–1972	NUM
ejpam-6486	388	4	,	,	PUNCT
ejpam-6486	388	5	2024	2024	NUM
ejpam-6486	388	6	.	.	PUNCT
ejpam-6486	389	1	[	[	X
ejpam-6486	389	2	27	27	NUM
ejpam-6486	389	3	]	]	PUNCT
ejpam-6486	389	4	a.	a.	NOUN
ejpam-6486	389	5	moussaoui	moussaoui	NOUN
ejpam-6486	389	6	,	,	PUNCT
ejpam-6486	389	7	c.	c.	PROPN
ejpam-6486	389	8	park	park	PROPN
ejpam-6486	389	9	,	,	PUNCT
ejpam-6486	389	10	and	and	CCONJ
ejpam-6486	389	11	s.	s.	PROPN
ejpam-6486	389	12	melliani	melliani	PROPN
ejpam-6486	389	13	.	.	PUNCT
ejpam-6486	390	1	new	new	ADJ
ejpam-6486	390	2	best	good	ADJ
ejpam-6486	390	3	proximity	proximity	NOUN
ejpam-6486	390	4	point	point	NOUN
ejpam-6486	390	5	results	result	NOUN
ejpam-6486	390	6	via	via	ADP
ejpam-6486	390	7	simulation	simulation	NOUN
ejpam-6486	390	8	functions	function	NOUN
ejpam-6486	390	9	in	in	ADP
ejpam-6486	390	10	fuzzy	fuzzy	ADJ
ejpam-6486	390	11	metric	metric	ADJ
ejpam-6486	390	12	spaces	space	NOUN
ejpam-6486	390	13	.	.	PUNCT
ejpam-6486	391	1	boletim	boletim	PROPN
ejpam-6486	391	2	da	da	PROPN
ejpam-6486	391	3	sociedade	sociedade	PROPN
ejpam-6486	391	4	paranaense	paranaense	PROPN
ejpam-6486	391	5	de	de	PROPN
ejpam-6486	391	6	matemática	matemática	PROPN
ejpam-6486	391	7	,	,	PUNCT
ejpam-6486	391	8	43	43	NUM
ejpam-6486	391	9	,	,	PUNCT
ejpam-6486	391	10	2025	2025	NUM
ejpam-6486	391	11	.	.	PUNCT
ejpam-6486	392	1	[	[	X
ejpam-6486	392	2	28	28	NUM
ejpam-6486	392	3	]	]	X
ejpam-6486	392	4	a.	a.	NOUN
ejpam-6486	392	5	moussaoui	moussaoui	PROPN
ejpam-6486	392	6	,	,	PUNCT
ejpam-6486	392	7	s.	s.	PROPN
ejpam-6486	392	8	radenović	radenović	VERB
ejpam-6486	392	9	,	,	PUNCT
ejpam-6486	392	10	o.	o.	PROPN
ejpam-6486	392	11	t.	t.	PROPN
ejpam-6486	392	12	birgani	birgani	PROPN
ejpam-6486	392	13	,	,	PUNCT
ejpam-6486	392	14	and	and	CCONJ
ejpam-6486	392	15	s.	s.	PROPN
ejpam-6486	392	16	melliani	melliani	PROPN
ejpam-6486	392	17	.	.	PUNCT
ejpam-6486	393	1	a	a	DET
ejpam-6486	393	2	new	new	ADJ
ejpam-6486	393	3	contraction	contraction	NOUN
ejpam-6486	393	4	principle	principle	NOUN
ejpam-6486	393	5	via	via	ADP
ejpam-6486	393	6	fuzzy	fuzzy	ADJ
ejpam-6486	393	7	l	l	NOUN
ejpam-6486	393	8	-	-	PUNCT
ejpam-6486	393	9	simulation	simulation	NOUN
ejpam-6486	393	10	functions	function	NOUN
ejpam-6486	393	11	.	.	PUNCT
ejpam-6486	394	1	boletim	boletim	PROPN
ejpam-6486	394	2	da	da	PROPN
ejpam-6486	394	3	sociedade	sociedade	PROPN
ejpam-6486	394	4	paranaense	paranaense	PROPN
ejpam-6486	394	5	de	de	PROPN
ejpam-6486	394	6	matemática	matemática	PROPN
ejpam-6486	394	7	,	,	PUNCT
ejpam-6486	394	8	43	43	NUM
ejpam-6486	394	9	,	,	PUNCT
ejpam-6486	394	10	2025	2025	NUM
ejpam-6486	394	11	.	.	PUNCT
ejpam-6486	395	1	[	[	X
ejpam-6486	395	2	29	29	NUM
ejpam-6486	395	3	]	]	PUNCT
ejpam-6486	395	4	a.	a.	NOUN
ejpam-6486	395	5	moussaoui	moussaoui	PROPN
ejpam-6486	395	6	,	,	PUNCT
ejpam-6486	395	7	s.	s.	PROPN
ejpam-6486	395	8	radenović	radenović	VERB
ejpam-6486	395	9	,	,	PUNCT
ejpam-6486	395	10	and	and	CCONJ
ejpam-6486	395	11	s.	s.	PROPN
ejpam-6486	395	12	melliani	melliani	PROPN
ejpam-6486	395	13	.	.	PUNCT
ejpam-6486	396	1	fixed	fix	VERB
ejpam-6486	396	2	point	point	NOUN
ejpam-6486	396	3	theorems	theorem	NOUN
ejpam-6486	396	4	involving	involve	VERB
ejpam-6486	396	5	fzϑf	fzϑf	ADJ
ejpam-6486	396	6	-contractions	-contraction	NOUN
ejpam-6486	396	7	in	in	ADP
ejpam-6486	396	8	gv	gv	ADP
ejpam-6486	396	9	-fuzzy	-fuzzy	NOUN
ejpam-6486	396	10	metrics	metric	NOUN
ejpam-6486	396	11	.	.	PUNCT
ejpam-6486	397	1	filomat	filomat	PROPN
ejpam-6486	397	2	,	,	PUNCT
ejpam-6486	397	3	38(6):1973–1985	38(6):1973–1985	NUM
ejpam-6486	397	4	,	,	PUNCT
ejpam-6486	397	5	2024	2024	NUM
ejpam-6486	397	6	.	.	PUNCT
ejpam-6486	398	1	[	[	X
ejpam-6486	398	2	30	30	NUM
ejpam-6486	398	3	]	]	PUNCT
ejpam-6486	398	4	a.	a.	NOUN
ejpam-6486	398	5	moussaoui	moussaoui	NOUN
ejpam-6486	398	6	,	,	PUNCT
ejpam-6486	398	7	n.	n.	PROPN
ejpam-6486	398	8	saleem	saleem	PROPN
ejpam-6486	398	9	,	,	PUNCT
ejpam-6486	398	10	s.	s.	PROPN
ejpam-6486	398	11	melliani	melliani	PROPN
ejpam-6486	398	12	,	,	PUNCT
ejpam-6486	398	13	and	and	CCONJ
ejpam-6486	398	14	m.	m.	PROPN
ejpam-6486	398	15	zhou	zhou	PROPN
ejpam-6486	398	16	.	.	PUNCT
ejpam-6486	399	1	fixed	fix	VERB
ejpam-6486	399	2	point	point	NOUN
ejpam-6486	399	3	results	result	NOUN
ejpam-6486	399	4	for	for	ADP
ejpam-6486	399	5	new	new	ADJ
ejpam-6486	399	6	types	type	NOUN
ejpam-6486	399	7	of	of	ADP
ejpam-6486	399	8	fuzzy	fuzzy	ADJ
ejpam-6486	399	9	contractions	contraction	NOUN
ejpam-6486	399	10	via	via	ADP
ejpam-6486	399	11	admissible	admissible	ADJ
ejpam-6486	399	12	functions	function	NOUN
ejpam-6486	399	13	and	and	CCONJ
ejpam-6486	399	14	fz	fz	NOUN
ejpam-6486	399	15	-	-	PUNCT
ejpam-6486	399	16	simulation	simulation	NOUN
ejpam-6486	399	17	functions	function	NOUN
ejpam-6486	399	18	.	.	PUNCT
ejpam-6486	400	1	axioms	axiom	NOUN
ejpam-6486	400	2	,	,	PUNCT
ejpam-6486	400	3	11:87	11:87	NUM
ejpam-6486	400	4	,	,	PUNCT
ejpam-6486	400	5	2022	2022	NUM
ejpam-6486	400	6	.	.	PUNCT
ejpam-6486	401	1	[	[	X
ejpam-6486	401	2	31	31	NUM
ejpam-6486	401	3	]	]	PUNCT
ejpam-6486	401	4	s.	s.	PROPN
ejpam-6486	401	5	ur	ur	PROPN
ejpam-6486	401	6	rehman	rehman	PROPN
ejpam-6486	401	7	and	and	CCONJ
ejpam-6486	401	8	h.	h.	PROPN
ejpam-6486	401	9	aydi	aydi	VERB
ejpam-6486	401	10	.	.	PUNCT
ejpam-6486	402	1	rational	rational	ADJ
ejpam-6486	402	2	fuzzy	fuzzy	ADJ
ejpam-6486	402	3	cone	cone	NOUN
ejpam-6486	402	4	contractions	contraction	NOUN
ejpam-6486	402	5	on	on	ADP
ejpam-6486	402	6	fuzzy	fuzzy	ADJ
ejpam-6486	402	7	cone	cone	NOUN
ejpam-6486	402	8	metric	metric	ADJ
ejpam-6486	402	9	spaces	space	NOUN
ejpam-6486	402	10	with	with	ADP
ejpam-6486	402	11	an	an	DET
ejpam-6486	402	12	application	application	NOUN
ejpam-6486	402	13	to	to	PART
ejpam-6486	402	14	fredholm	fredholm	VERB
ejpam-6486	402	15	integral	integral	ADJ
ejpam-6486	402	16	equations	equation	NOUN
ejpam-6486	402	17	.	.	PUNCT
ejpam-6486	403	1	journal	journal	NOUN
ejpam-6486	403	2	of	of	ADP
ejpam-6486	403	3	function	function	NOUN
ejpam-6486	403	4	spaces	space	NOUN
ejpam-6486	403	5	,	,	PUNCT
ejpam-6486	403	6	page	page	NOUN
ejpam-6486	403	7	5527864	5527864	NUM
ejpam-6486	403	8	,	,	PUNCT
ejpam-6486	403	9	2021	2021	NUM
ejpam-6486	403	10	.	.	PUNCT
ejpam-6486	404	1	[	[	X
ejpam-6486	404	2	32	32	NUM
ejpam-6486	404	3	]	]	PUNCT
ejpam-6486	404	4	m.	m.	NOUN
ejpam-6486	404	5	sangurlu	sangurlu	NOUN
ejpam-6486	404	6	,	,	PUNCT
ejpam-6486	404	7	h.	h.	PROPN
ejpam-6486	404	8	işık	işık	PROPN
ejpam-6486	404	9	,	,	PUNCT
ejpam-6486	404	10	and	and	CCONJ
ejpam-6486	404	11	d.	d.	PROPN
ejpam-6486	404	12	türkoğlu	türkoğlu	PROPN
ejpam-6486	404	13	.	.	PUNCT
ejpam-6486	405	1	a	a	DET
ejpam-6486	405	2	new	new	ADJ
ejpam-6486	405	3	method	method	NOUN
ejpam-6486	405	4	for	for	ADP
ejpam-6486	405	5	some	some	DET
ejpam-6486	405	6	fixed	fix	VERB
ejpam-6486	405	7	point	point	NOUN
ejpam-6486	405	8	theorems	theorem	NOUN
ejpam-6486	405	9	in	in	ADP
ejpam-6486	405	10	fuzzy	fuzzy	ADJ
ejpam-6486	405	11	metric	metric	ADJ
ejpam-6486	405	12	spaces	space	NOUN
ejpam-6486	405	13	.	.	PUNCT
ejpam-6486	406	1	bangmod	bangmod	PROPN
ejpam-6486	406	2	international	international	ADJ
ejpam-6486	406	3	journal	journal	PROPN
ejpam-6486	406	4	of	of	ADP
ejpam-6486	406	5	mathematical	mathematical	ADJ
ejpam-6486	406	6	and	and	CCONJ
ejpam-6486	406	7	computer	computer	NOUN
ejpam-6486	406	8	sciences	science	NOUN
ejpam-6486	406	9	,	,	PUNCT
ejpam-6486	406	10	3:10–15	3:10–15	NUM
ejpam-6486	406	11	,	,	PUNCT
ejpam-6486	406	12	2017	2017	NUM
ejpam-6486	406	13	.	.	PUNCT
ejpam-6486	407	1	[	[	X
ejpam-6486	407	2	33	33	NUM
ejpam-6486	407	3	]	]	PUNCT
ejpam-6486	407	4	b.	b.	PROPN
ejpam-6486	407	5	schweizer	schweizer	PROPN
ejpam-6486	407	6	and	and	CCONJ
ejpam-6486	407	7	a.	a.	NOUN
ejpam-6486	407	8	sklar	sklar	PROPN
ejpam-6486	407	9	.	.	PUNCT
ejpam-6486	408	1	statistical	statistical	ADJ
ejpam-6486	408	2	metric	metric	ADJ
ejpam-6486	408	3	spaces	space	NOUN
ejpam-6486	408	4	.	.	PUNCT
ejpam-6486	409	1	pacific	pacific	PROPN
ejpam-6486	409	2	journal	journal	PROPN
ejpam-6486	409	3	of	of	ADP
ejpam-6486	409	4	mathematics	mathematic	NOUN
ejpam-6486	409	5	,	,	PUNCT
ejpam-6486	409	6	10(1):313–334	10(1):313–334	PROPN
ejpam-6486	409	7	,	,	PUNCT
ejpam-6486	409	8	1960	1960	NUM
ejpam-6486	409	9	.	.	PUNCT
ejpam-6486	410	1	[	[	X
ejpam-6486	410	2	34	34	NUM
ejpam-6486	410	3	]	]	X
ejpam-6486	410	4	w.	w.	PROPN
ejpam-6486	410	5	m.	m.	PROPN
ejpam-6486	410	6	alfaqih	alfaqih	PROPN
ejpam-6486	410	7	,	,	PUNCT
ejpam-6486	410	8	b.	b.	PROPN
ejpam-6486	410	9	ali	ali	PROPN
ejpam-6486	410	10	,	,	PUNCT
ejpam-6486	410	11	m.	m.	PROPN
ejpam-6486	410	12	imdad	imdad	PROPN
ejpam-6486	410	13	,	,	PUNCT
ejpam-6486	410	14	and	and	CCONJ
ejpam-6486	410	15	s.	s.	PROPN
ejpam-6486	410	16	sessa	sessa	PROPN
ejpam-6486	410	17	.	.	PUNCT
ejpam-6486	411	1	fuzzy	fuzzy	ADJ
ejpam-6486	411	2	relation	relation	NOUN
ejpam-6486	411	3	-	-	PUNCT
ejpam-6486	411	4	theoretic	theoretic	ADJ
ejpam-6486	411	5	contraction	contraction	NOUN
ejpam-6486	411	6	principle	principle	NOUN
ejpam-6486	411	7	.	.	PUNCT
ejpam-6486	412	1	journal	journal	NOUN
ejpam-6486	412	2	of	of	ADP
ejpam-6486	412	3	intelligent	intelligent	ADJ
ejpam-6486	412	4	and	and	CCONJ
ejpam-6486	412	5	fuzzy	fuzzy	ADJ
ejpam-6486	412	6	systems	system	NOUN
ejpam-6486	412	7	,	,	PUNCT
ejpam-6486	412	8	40:4491–4501	40:4491–4501	NUM
ejpam-6486	412	9	,	,	PUNCT
ejpam-6486	412	10	2021	2021	NUM
ejpam-6486	412	11	.	.	PUNCT
ejpam-6486	413	1	[	[	X
ejpam-6486	413	2	35	35	NUM
ejpam-6486	413	3	]	]	X
ejpam-6486	413	4	b.	b.	PROPN
ejpam-6486	413	5	kolman	kolman	PROPN
ejpam-6486	413	6	,	,	PUNCT
ejpam-6486	413	7	r.	r.	PROPN
ejpam-6486	413	8	c.	c.	PROPN
ejpam-6486	413	9	busby	busby	PROPN
ejpam-6486	413	10	,	,	PUNCT
ejpam-6486	413	11	and	and	CCONJ
ejpam-6486	413	12	s.	s.	PROPN
ejpam-6486	413	13	ross	ross	PROPN
ejpam-6486	413	14	.	.	PROPN
ejpam-6486	413	15	discrete	discrete	ADJ
ejpam-6486	413	16	mathematical	mathematical	ADJ
ejpam-6486	413	17	structures	structure	NOUN
ejpam-6486	413	18	.	.	PUNCT
ejpam-6486	414	1	prenticehall	prenticehall	NOUN
ejpam-6486	414	2	of	of	ADP
ejpam-6486	414	3	india	india	PROPN
ejpam-6486	414	4	pvt	pvt	PROPN
ejpam-6486	414	5	.	.	PROPN
ejpam-6486	414	6	ltd	ltd	PROPN
ejpam-6486	414	7	.	.	PROPN
ejpam-6486	414	8	,	,	PUNCT
ejpam-6486	414	9	new	new	PROPN
ejpam-6486	414	10	delhi	delhi	PROPN
ejpam-6486	414	11	,	,	PUNCT
ejpam-6486	414	12	3rd	3rd	ADJ
ejpam-6486	414	13	edition	edition	NOUN
ejpam-6486	414	14	,	,	PUNCT
ejpam-6486	414	15	2000	2000	NUM
ejpam-6486	414	16	.	.	PUNCT