id	sid	tid	token	lemma	pos
ejpam-6783	1	1	european	european	PROPN
ejpam-6783	1	2	journal	journal	PROPN
ejpam-6783	1	3	of	of	ADP
ejpam-6783	1	4	pure	pure	ADJ
ejpam-6783	1	5	and	and	CCONJ
ejpam-6783	1	6	applied	applied	ADJ
ejpam-6783	1	7	mathematics	mathematic	NOUN
ejpam-6783	1	8	2025	2025	NUM
ejpam-6783	1	9	,	,	PUNCT
ejpam-6783	1	10	vol	vol	NOUN
ejpam-6783	1	11	.	.	PROPN
ejpam-6783	1	12	18	18	NUM
ejpam-6783	1	13	,	,	PUNCT
ejpam-6783	1	14	issue	issue	NOUN
ejpam-6783	1	15	4	4	NUM
ejpam-6783	1	16	,	,	PUNCT
ejpam-6783	1	17	article	article	NOUN
ejpam-6783	1	18	number	number	NOUN
ejpam-6783	1	19	6783	6783	NUM
ejpam-6783	1	20	issn	issn	VERB
ejpam-6783	1	21	1307	1307	NUM
ejpam-6783	1	22	-	-	SYM
ejpam-6783	1	23	5543	5543	NUM
ejpam-6783	1	24	–	–	PUNCT
ejpam-6783	1	25	ejpam.com	ejpam.com	X
ejpam-6783	1	26	published	publish	VERB
ejpam-6783	1	27	by	by	ADP
ejpam-6783	1	28	new	new	PROPN
ejpam-6783	1	29	york	york	PROPN
ejpam-6783	1	30	business	business	PROPN
ejpam-6783	1	31	global	global	ADJ
ejpam-6783	1	32	mr	mr	PROPN
ejpam-6783	1	33	-	-	PUNCT
ejpam-6783	1	34	metric	metric	ADJ
ejpam-6783	1	35	spaces	space	NOUN
ejpam-6783	1	36	:	:	PUNCT
ejpam-6783	2	1	theory	theory	NOUN
ejpam-6783	2	2	,	,	PUNCT
ejpam-6783	2	3	applications	application	NOUN
ejpam-6783	2	4	,	,	PUNCT
ejpam-6783	2	5	and	and	CCONJ
ejpam-6783	2	6	fixed	fix	VERB
ejpam-6783	2	7	-	-	PUNCT
ejpam-6783	2	8	point	point	NOUN
ejpam-6783	2	9	theorems	theorem	NOUN
ejpam-6783	2	10	in	in	ADP
ejpam-6783	2	11	fuzzy	fuzzy	ADJ
ejpam-6783	2	12	and	and	CCONJ
ejpam-6783	2	13	measure	measure	NOUN
ejpam-6783	2	14	-	-	PUNCT
ejpam-6783	2	15	theoretic	theoretic	NOUN
ejpam-6783	2	16	frameworks	framework	NOUN
ejpam-6783	2	17	abed	abe	VERB
ejpam-6783	2	18	al	al	PROPN
ejpam-6783	2	19	-	-	PUNCT
ejpam-6783	2	20	rahman	rahman	PROPN
ejpam-6783	2	21	m.	m.	PROPN
ejpam-6783	2	22	malkawi1,∗	malkawi1,∗	PROPN
ejpam-6783	2	23	,	,	PUNCT
ejpam-6783	2	24	ayat	ayat	PROPN
ejpam-6783	2	25	m.	m.	NOUN
ejpam-6783	2	26	rabaiah1	rabaiah1	PROPN
ejpam-6783	2	27	1	1	NUM
ejpam-6783	2	28	department	department	NOUN
ejpam-6783	2	29	of	of	ADP
ejpam-6783	2	30	mathematics	mathematic	NOUN
ejpam-6783	2	31	,	,	PUNCT
ejpam-6783	2	32	faculty	faculty	NOUN
ejpam-6783	2	33	of	of	ADP
ejpam-6783	2	34	arts	art	NOUN
ejpam-6783	2	35	and	and	CCONJ
ejpam-6783	2	36	science	science	NOUN
ejpam-6783	2	37	,	,	PUNCT
ejpam-6783	2	38	amman	amman	PROPN
ejpam-6783	2	39	arab	arab	PROPN
ejpam-6783	2	40	university	university	PROPN
ejpam-6783	2	41	,	,	PUNCT
ejpam-6783	2	42	amman	amman	PROPN
ejpam-6783	2	43	11953	11953	NUM
ejpam-6783	2	44	,	,	PUNCT
ejpam-6783	2	45	jordan	jordan	PROPN
ejpam-6783	2	46	abstract	abstract	PROPN
ejpam-6783	2	47	.	.	PUNCT
ejpam-6783	3	1	this	this	DET
ejpam-6783	3	2	paper	paper	NOUN
ejpam-6783	3	3	explores	explore	VERB
ejpam-6783	3	4	the	the	DET
ejpam-6783	3	5	theoretical	theoretical	ADJ
ejpam-6783	3	6	foundations	foundation	NOUN
ejpam-6783	3	7	and	and	CCONJ
ejpam-6783	3	8	practical	practical	ADJ
ejpam-6783	3	9	applications	application	NOUN
ejpam-6783	3	10	of	of	ADP
ejpam-6783	3	11	mrmetric	mrmetric	ADJ
ejpam-6783	3	12	spaces	space	NOUN
ejpam-6783	3	13	,	,	PUNCT
ejpam-6783	3	14	a	a	DET
ejpam-6783	3	15	generalization	generalization	NOUN
ejpam-6783	3	16	of	of	ADP
ejpam-6783	3	17	classical	classical	ADJ
ejpam-6783	3	18	metric	metric	ADJ
ejpam-6783	3	19	spaces	space	NOUN
ejpam-6783	3	20	introduced	introduce	VERB
ejpam-6783	3	21	by	by	ADP
ejpam-6783	3	22	malkawi	malkawi	PROPN
ejpam-6783	3	23	et	et	PROPN
ejpam-6783	3	24	al	al	PROPN
ejpam-6783	3	25	.	.	PUNCT
ejpam-6783	4	1	[	[	X
ejpam-6783	4	2	1	1	NUM
ejpam-6783	4	3	]	]	PUNCT
ejpam-6783	4	4	.	.	PUNCT
ejpam-6783	5	1	we	we	PRON
ejpam-6783	5	2	investigate	investigate	VERB
ejpam-6783	5	3	key	key	ADJ
ejpam-6783	5	4	properties	property	NOUN
ejpam-6783	5	5	such	such	ADJ
ejpam-6783	5	6	as	as	ADP
ejpam-6783	5	7	symmetry	symmetry	NOUN
ejpam-6783	5	8	,	,	PUNCT
ejpam-6783	5	9	permutation	permutation	NOUN
ejpam-6783	5	10	invariance	invariance	NOUN
ejpam-6783	5	11	,	,	PUNCT
ejpam-6783	5	12	and	and	CCONJ
ejpam-6783	5	13	the	the	DET
ejpam-6783	5	14	modified	modify	VERB
ejpam-6783	5	15	tetrahedral	tetrahedral	ADJ
ejpam-6783	5	16	inequality	inequality	NOUN
ejpam-6783	5	17	,	,	PUNCT
ejpam-6783	5	18	which	which	PRON
ejpam-6783	5	19	are	be	AUX
ejpam-6783	5	20	pivotal	pivotal	ADJ
ejpam-6783	5	21	for	for	ADP
ejpam-6783	5	22	extending	extend	VERB
ejpam-6783	5	23	fixed	fix	VERB
ejpam-6783	5	24	-	-	PUNCT
ejpam-6783	5	25	point	point	NOUN
ejpam-6783	5	26	theorems	theorem	NOUN
ejpam-6783	5	27	,	,	PUNCT
ejpam-6783	5	28	measure	measure	NOUN
ejpam-6783	5	29	theory	theory	NOUN
ejpam-6783	5	30	,	,	PUNCT
ejpam-6783	5	31	and	and	CCONJ
ejpam-6783	5	32	fuzzy	fuzzy	ADJ
ejpam-6783	5	33	analysis	analysis	NOUN
ejpam-6783	5	34	.	.	PUNCT
ejpam-6783	6	1	our	our	PRON
ejpam-6783	6	2	main	main	ADJ
ejpam-6783	6	3	results	result	NOUN
ejpam-6783	6	4	include	include	VERB
ejpam-6783	6	5	:	:	PUNCT
ejpam-6783	6	6	1	1	X
ejpam-6783	6	7	.	.	X
ejpam-6783	6	8	fuzzy	fuzzy	ADJ
ejpam-6783	6	9	-	-	PUNCT
ejpam-6783	6	10	measurable	measurable	ADJ
ejpam-6783	6	11	banach	banach	NOUN
ejpam-6783	6	12	contraction	contraction	NOUN
ejpam-6783	6	13	theorem	theorem	VERB
ejpam-6783	6	14	:	:	PUNCT
ejpam-6783	6	15	a	a	DET
ejpam-6783	6	16	unique	unique	ADJ
ejpam-6783	6	17	fuzzy	fuzzy	ADJ
ejpam-6783	6	18	fixed	fix	VERB
ejpam-6783	6	19	-	-	PUNCT
ejpam-6783	6	20	point	point	NOUN
ejpam-6783	6	21	theorem	theorem	NOUN
ejpam-6783	6	22	under	under	ADP
ejpam-6783	6	23	hausdorff	hausdorff	PROPN
ejpam-6783	6	24	mr	mr	PROPN
ejpam-6783	6	25	-	-	PUNCT
ejpam-6783	6	26	metric	metric	ADJ
ejpam-6783	6	27	contractions	contraction	NOUN
ejpam-6783	7	1	[	[	X
ejpam-6783	7	2	2	2	NUM
ejpam-6783	7	3	,	,	PUNCT
ejpam-6783	7	4	3	3	NUM
ejpam-6783	7	5	]	]	PUNCT
ejpam-6783	7	6	.	.	PUNCT
ejpam-6783	8	1	2	2	X
ejpam-6783	8	2	.	.	X
ejpam-6783	8	3	nonarchimedean	nonarchimedean	ADJ
ejpam-6783	8	4	fuzzy	fuzzy	ADJ
ejpam-6783	8	5	measure	measure	NOUN
ejpam-6783	8	6	concentration	concentration	NOUN
ejpam-6783	8	7	:	:	PUNCT
ejpam-6783	8	8	a	a	DET
ejpam-6783	8	9	result	result	NOUN
ejpam-6783	8	10	linking	link	VERB
ejpam-6783	8	11	compactness	compactness	NOUN
ejpam-6783	8	12	in	in	ADP
ejpam-6783	8	13	mr	mr	PROPN
ejpam-6783	8	14	-	-	PUNCT
ejpam-6783	8	15	metric	metric	ADJ
ejpam-6783	8	16	spaces	space	NOUN
ejpam-6783	8	17	to	to	ADP
ejpam-6783	8	18	fuzzy	fuzzy	ADJ
ejpam-6783	8	19	measure	measure	NOUN
ejpam-6783	8	20	concentration	concentration	NOUN
ejpam-6783	8	21	[	[	X
ejpam-6783	8	22	4	4	NUM
ejpam-6783	8	23	]	]	PUNCT
ejpam-6783	8	24	.	.	PUNCT
ejpam-6783	9	1	3	3	X
ejpam-6783	9	2	.	.	X
ejpam-6783	9	3	mr	mr	ADJ
ejpam-6783	9	4	-	-	PUNCT
ejpam-6783	9	5	fuzzy	fuzzy	ADJ
ejpam-6783	9	6	radon	radon	PROPN
ejpam-6783	9	7	-	-	PUNCT
ejpam-6783	9	8	nikodym	nikodym	PROPN
ejpam-6783	9	9	theorem	theorem	VERB
ejpam-6783	9	10	:	:	PUNCT
ejpam-6783	9	11	a	a	DET
ejpam-6783	9	12	fuzzy	fuzzy	ADJ
ejpam-6783	9	13	derivative	derivative	ADJ
ejpam-6783	9	14	construction	construction	NOUN
ejpam-6783	9	15	for	for	ADP
ejpam-6783	9	16	σ	σ	NOUN
ejpam-6783	9	17	-	-	PUNCT
ejpam-6783	9	18	finite	finite	ADJ
ejpam-6783	9	19	measures	measure	NOUN
ejpam-6783	9	20	[	[	X
ejpam-6783	9	21	5	5	NUM
ejpam-6783	9	22	]	]	PUNCT
ejpam-6783	9	23	.	.	PUNCT
ejpam-6783	10	1	applications	application	NOUN
ejpam-6783	10	2	span	span	VERB
ejpam-6783	10	3	medical	medical	ADJ
ejpam-6783	10	4	diagnosis	diagnosis	NOUN
ejpam-6783	10	5	(	(	PUNCT
ejpam-6783	10	6	fuzzy	fuzzy	ADJ
ejpam-6783	10	7	symptom	symptom	NOUN
ejpam-6783	10	8	analysis	analysis	NOUN
ejpam-6783	10	9	)	)	PUNCT
ejpam-6783	10	10	,	,	PUNCT
ejpam-6783	10	11	sensor	sensor	NOUN
ejpam-6783	10	12	data	data	NOUN
ejpam-6783	10	13	fusion	fusion	NOUN
ejpam-6783	10	14	(	(	PUNCT
ejpam-6783	10	15	epicenter	epicenter	NOUN
ejpam-6783	10	16	detection	detection	PROPN
ejpam-6783	10	17	)	)	PUNCT
ejpam-6783	10	18	,	,	PUNCT
ejpam-6783	10	19	and	and	CCONJ
ejpam-6783	10	20	financial	financial	ADJ
ejpam-6783	10	21	risk	risk	NOUN
ejpam-6783	10	22	modeling	modeling	NOUN
ejpam-6783	10	23	(	(	PUNCT
ejpam-6783	10	24	fuzzy	fuzzy	ADJ
ejpam-6783	10	25	value	value	NOUN
ejpam-6783	10	26	-	-	PUNCT
ejpam-6783	10	27	at	at	ADP
ejpam-6783	10	28	-	-	PUNCT
ejpam-6783	10	29	risk	risk	NOUN
ejpam-6783	10	30	)	)	PUNCT
ejpam-6783	10	31	.	.	PUNCT
ejpam-6783	11	1	this	this	DET
ejpam-6783	11	2	work	work	NOUN
ejpam-6783	11	3	synthesizes	synthesize	VERB
ejpam-6783	11	4	advancements	advancement	NOUN
ejpam-6783	11	5	in	in	ADP
ejpam-6783	11	6	fixed	fix	VERB
ejpam-6783	11	7	-	-	PUNCT
ejpam-6783	11	8	point	point	NOUN
ejpam-6783	11	9	theory	theory	NOUN
ejpam-6783	11	10	[	[	X
ejpam-6783	11	11	6	6	NUM
ejpam-6783	11	12	,	,	PUNCT
ejpam-6783	11	13	7	7	NUM
ejpam-6783	11	14	]	]	PUNCT
ejpam-6783	11	15	,	,	PUNCT
ejpam-6783	11	16	fractional	fractional	ADJ
ejpam-6783	11	17	calculus	calculus	NOUN
ejpam-6783	11	18	[	[	X
ejpam-6783	11	19	8	8	NUM
ejpam-6783	11	20	,	,	PUNCT
ejpam-6783	11	21	9	9	NUM
ejpam-6783	11	22	]	]	PUNCT
ejpam-6783	11	23	,	,	PUNCT
ejpam-6783	11	24	and	and	CCONJ
ejpam-6783	11	25	neutrosophic	neutrosophic	ADJ
ejpam-6783	11	26	metrics	metric	NOUN
ejpam-6783	11	27	[	[	X
ejpam-6783	11	28	10	10	NUM
ejpam-6783	11	29	]	]	PUNCT
ejpam-6783	11	30	,	,	PUNCT
ejpam-6783	11	31	offering	offer	VERB
ejpam-6783	11	32	a	a	DET
ejpam-6783	11	33	unified	unified	ADJ
ejpam-6783	11	34	framework	framework	NOUN
ejpam-6783	11	35	for	for	ADP
ejpam-6783	11	36	uncertainty	uncertainty	NOUN
ejpam-6783	11	37	quantification	quantification	NOUN
ejpam-6783	11	38	.	.	PUNCT
ejpam-6783	12	1	2020	2020	NUM
ejpam-6783	12	2	mathematics	mathematic	NOUN
ejpam-6783	12	3	subject	subject	NOUN
ejpam-6783	12	4	classifications	classification	NOUN
ejpam-6783	12	5	:	:	PUNCT
ejpam-6783	12	6	54e50	54e50	NUM
ejpam-6783	12	7	,	,	PUNCT
ejpam-6783	12	8	47h10	47h10	NUM
ejpam-6783	12	9	,	,	PUNCT
ejpam-6783	12	10	28e10	28e10	NUM
ejpam-6783	12	11	,	,	PUNCT
ejpam-6783	12	12	26a33	26a33	NUM
ejpam-6783	12	13	,	,	PUNCT
ejpam-6783	12	14	60b10	60b10	NUM
ejpam-6783	12	15	key	key	ADJ
ejpam-6783	12	16	words	word	NOUN
ejpam-6783	12	17	and	and	CCONJ
ejpam-6783	12	18	phrases	phrase	NOUN
ejpam-6783	12	19	:	:	PUNCT
ejpam-6783	12	20	mr	mr	ADJ
ejpam-6783	12	21	-	-	PUNCT
ejpam-6783	12	22	metric	metric	ADJ
ejpam-6783	12	23	spaces	space	NOUN
ejpam-6783	12	24	,	,	PUNCT
ejpam-6783	12	25	fuzzy	fuzzy	ADJ
ejpam-6783	12	26	fixed	fix	VERB
ejpam-6783	12	27	points	point	NOUN
ejpam-6783	12	28	,	,	PUNCT
ejpam-6783	12	29	radon	radon	PROPN
ejpam-6783	12	30	-	-	PUNCT
ejpam-6783	12	31	nikodym	nikodym	PROPN
ejpam-6783	12	32	derivative	derivative	NOUN
ejpam-6783	12	33	,	,	PUNCT
ejpam-6783	12	34	measure	measure	NOUN
ejpam-6783	12	35	concentration	concentration	NOUN
ejpam-6783	12	36	,	,	PUNCT
ejpam-6783	12	37	hausdorff	hausdorff	NOUN
ejpam-6783	12	38	metric	metric	NOUN
ejpam-6783	12	39	,	,	PUNCT
ejpam-6783	12	40	neutrosophic	neutrosophic	ADJ
ejpam-6783	12	41	sets	set	NOUN
ejpam-6783	12	42	1	1	NUM
ejpam-6783	12	43	.	.	PUNCT
ejpam-6783	12	44	introduction	introduction	NOUN
ejpam-6783	12	45	metric	metric	ADJ
ejpam-6783	12	46	space	space	NOUN
ejpam-6783	12	47	generalizations	generalization	NOUN
ejpam-6783	12	48	,	,	PUNCT
ejpam-6783	12	49	such	such	ADJ
ejpam-6783	12	50	as	as	ADP
ejpam-6783	12	51	b	b	NOUN
ejpam-6783	12	52	-	-	ADJ
ejpam-6783	12	53	metric	metric	ADJ
ejpam-6783	12	54	[	[	X
ejpam-6783	12	55	6	6	NUM
ejpam-6783	12	56	,	,	PUNCT
ejpam-6783	12	57	11–27	11–27	NUM
ejpam-6783	12	58	]	]	PUNCT
ejpam-6783	12	59	and	and	CCONJ
ejpam-6783	12	60	g	g	NOUN
ejpam-6783	12	61	-	-	PUNCT
ejpam-6783	12	62	metric	metric	ADJ
ejpam-6783	12	63	spaces	space	NOUN
ejpam-6783	12	64	[	[	X
ejpam-6783	12	65	28	28	NUM
ejpam-6783	12	66	]	]	PUNCT
ejpam-6783	12	67	,	,	PUNCT
ejpam-6783	12	68	have	have	AUX
ejpam-6783	12	69	enriched	enrich	VERB
ejpam-6783	12	70	fixed	fix	VERB
ejpam-6783	12	71	-	-	PUNCT
ejpam-6783	12	72	point	point	NOUN
ejpam-6783	12	73	theory	theory	NOUN
ejpam-6783	12	74	and	and	CCONJ
ejpam-6783	12	75	applications	application	NOUN
ejpam-6783	12	76	.	.	PUNCT
ejpam-6783	13	1	the	the	DET
ejpam-6783	13	2	mr	mr	PROPN
ejpam-6783	13	3	-	-	PUNCT
ejpam-6783	13	4	metric	metric	ADJ
ejpam-6783	13	5	space	space	NOUN
ejpam-6783	13	6	(	(	PUNCT
ejpam-6783	13	7	x	x	X
ejpam-6783	13	8	,	,	PUNCT
ejpam-6783	13	9	m	m	NOUN
ejpam-6783	13	10	,	,	PUNCT
ejpam-6783	13	11	r	r	NOUN
ejpam-6783	13	12	)	)	PUNCT
ejpam-6783	13	13	,	,	PUNCT
ejpam-6783	13	14	introduced	introduce	VERB
ejpam-6783	13	15	in	in	ADP
ejpam-6783	13	16	[	[	X
ejpam-6783	13	17	1	1	NUM
ejpam-6783	13	18	]	]	PUNCT
ejpam-6783	13	19	,	,	PUNCT
ejpam-6783	13	20	extends	extend	VERB
ejpam-6783	13	21	these	these	DET
ejpam-6783	13	22	frameworks	framework	NOUN
ejpam-6783	13	23	by	by	ADP
ejpam-6783	13	24	incorporating	incorporate	VERB
ejpam-6783	13	25	a	a	DET
ejpam-6783	13	26	scaling	scale	VERB
ejpam-6783	13	27	factor	factor	NOUN
ejpam-6783	13	28	r	r	NOUN
ejpam-6783	13	29	>	>	X
ejpam-6783	13	30	1	1	NUM
ejpam-6783	13	31	and	and	CCONJ
ejpam-6783	13	32	a	a	DET
ejpam-6783	13	33	ternary	ternary	ADJ
ejpam-6783	13	34	function	function	NOUN
ejpam-6783	13	35	m	m	AUX
ejpam-6783	13	36	satisfying	satisfy	VERB
ejpam-6783	13	37	:	:	PUNCT
ejpam-6783	13	38	•	•	NUM
ejpam-6783	13	39	symmetry	symmetry	NOUN
ejpam-6783	13	40	:	:	PUNCT
ejpam-6783	13	41	m(v	m(v	NUM
ejpam-6783	13	42	,	,	PUNCT
ejpam-6783	13	43	ξ	ξ	PROPN
ejpam-6783	13	44	,	,	PUNCT
ejpam-6783	13	45	s	s	PART
ejpam-6783	13	46	)	)	PUNCT
ejpam-6783	13	47	=	=	SYM
ejpam-6783	13	48	m(p(v	m(p(v	NOUN
ejpam-6783	13	49	,	,	PUNCT
ejpam-6783	13	50	ξ	ξ	PROPN
ejpam-6783	13	51	,	,	PUNCT
ejpam-6783	13	52	s	s	PART
ejpam-6783	13	53	)	)	PUNCT
ejpam-6783	13	54	)	)	PUNCT
ejpam-6783	14	1	[	[	X
ejpam-6783	14	2	1	1	NUM
ejpam-6783	14	3	]	]	PUNCT
ejpam-6783	14	4	.	.	PUNCT
ejpam-6783	15	1	∗corresponding	∗corresponde	VERB
ejpam-6783	15	2	author	author	NOUN
ejpam-6783	15	3	.	.	PUNCT
ejpam-6783	16	1	doi	doi	NOUN
ejpam-6783	16	2	:	:	PUNCT
ejpam-6783	16	3	https://doi.org/10.29020/nybg.ejpam.v18i4.6783	https://doi.org/10.29020/nybg.ejpam.v18i4.6783	NOUN
ejpam-6783	16	4	email	email	NOUN
ejpam-6783	16	5	addresses	address	VERB
ejpam-6783	16	6	:	:	PUNCT
ejpam-6783	16	7	a.malkawi@aau.edu.jo	a.malkawi@aau.edu.jo	PROPN
ejpam-6783	16	8	and	and	CCONJ
ejpam-6783	16	9	math.malkawi@gmail.com	math.malkawi@gmail.com	X
ejpam-6783	16	10	(	(	PUNCT
ejpam-6783	16	11	a.	a.	NOUN
ejpam-6783	16	12	malkawi	malkawi	PROPN
ejpam-6783	16	13	)	)	PUNCT
ejpam-6783	16	14	,	,	PUNCT
ejpam-6783	16	15	a.rabaieha@aau.edu.jo	a.rabaieha@aau.edu.jo	PROPN
ejpam-6783	16	16	(	(	PUNCT
ejpam-6783	16	17	a.	a.	NOUN
ejpam-6783	16	18	rabaiah	rabaiah	PROPN
ejpam-6783	16	19	)	)	PUNCT
ejpam-6783	16	20	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6783	17	1	1	1	NUM
ejpam-6783	17	2	copyright	copyright	NOUN
ejpam-6783	17	3	:	:	PUNCT
ejpam-6783	17	4	©	©	PROPN
ejpam-6783	17	5	2025	2025	NUM
ejpam-6783	17	6	the	the	DET
ejpam-6783	17	7	author(s	author(s	NOUN
ejpam-6783	17	8	)	)	PUNCT
ejpam-6783	17	9	.	.	PUNCT
ejpam-6783	18	1	(	(	PUNCT
ejpam-6783	18	2	cc	cc	NOUN
ejpam-6783	18	3	by	by	ADP
ejpam-6783	18	4	-	-	PUNCT
ejpam-6783	18	5	nc	nc	PROPN
ejpam-6783	18	6	4.0	4.0	NUM
ejpam-6783	18	7	)	)	PUNCT
ejpam-6783	18	8	a.	a.	NOUN
ejpam-6783	18	9	malkawi	malkawi	PROPN
ejpam-6783	18	10	,	,	PUNCT
ejpam-6783	18	11	a.	a.	PROPN
ejpam-6783	18	12	rabaiah	rabaiah	PROPN
ejpam-6783	18	13	/	/	SYM
ejpam-6783	18	14	eur	eur	PROPN
ejpam-6783	18	15	.	.	PUNCT
ejpam-6783	19	1	j.	j.	PROPN
ejpam-6783	19	2	pure	pure	PROPN
ejpam-6783	19	3	appl	appl	PROPN
ejpam-6783	19	4	.	.	PROPN
ejpam-6783	19	5	math	math	PROPN
ejpam-6783	19	6	,	,	PUNCT
ejpam-6783	19	7	18	18	NUM
ejpam-6783	19	8	(	(	PUNCT
ejpam-6783	19	9	4	4	NUM
ejpam-6783	19	10	)	)	PUNCT
ejpam-6783	19	11	(	(	PUNCT
ejpam-6783	19	12	2025	2025	NUM
ejpam-6783	19	13	)	)	PUNCT
ejpam-6783	19	14	,	,	PUNCT
ejpam-6783	19	15	6783	6783	NUM
ejpam-6783	19	16	2	2	NUM
ejpam-6783	19	17	of	of	ADP
ejpam-6783	19	18	10	10	NUM
ejpam-6783	19	19	•	•	NUM
ejpam-6783	19	20	tetrahedral	tetrahedral	ADJ
ejpam-6783	19	21	inequality	inequality	NOUN
ejpam-6783	19	22	:	:	PUNCT
ejpam-6783	19	23	m(v	m(v	NUM
ejpam-6783	19	24	,	,	PUNCT
ejpam-6783	19	25	ξ	ξ	PROPN
ejpam-6783	19	26	,	,	PUNCT
ejpam-6783	19	27	s	s	X
ejpam-6783	19	28	)	)	PUNCT
ejpam-6783	19	29	≤	≤	NOUN
ejpam-6783	19	30	r[m(v	r[m(v	NUM
ejpam-6783	19	31	,	,	PUNCT
ejpam-6783	19	32	ξ	ξ	X
ejpam-6783	19	33	,	,	PUNCT
ejpam-6783	19	34	ℓ1	ℓ1	NOUN
ejpam-6783	19	35	)	)	PUNCT
ejpam-6783	20	1	+	+	SYM
ejpam-6783	20	2	m(v	m(v	NOUN
ejpam-6783	20	3	,	,	PUNCT
ejpam-6783	20	4	ℓ1	ℓ1	NOUN
ejpam-6783	20	5	,	,	PUNCT
ejpam-6783	20	6	s	s	X
ejpam-6783	20	7	)	)	PUNCT
ejpam-6783	20	8	+	+	ADJ
ejpam-6783	20	9	m(ℓ1	m(ℓ1	NOUN
ejpam-6783	20	10	,	,	PUNCT
ejpam-6783	20	11	ξ	ξ	PROPN
ejpam-6783	20	12	,	,	PUNCT
ejpam-6783	20	13	s	s	PART
ejpam-6783	20	14	)	)	PUNCT
ejpam-6783	20	15	]	]	PUNCT
ejpam-6783	20	16	[	[	X
ejpam-6783	20	17	4	4	NUM
ejpam-6783	20	18	]	]	PUNCT
ejpam-6783	20	19	.	.	PUNCT
ejpam-6783	21	1	this	this	DET
ejpam-6783	21	2	structure	structure	NOUN
ejpam-6783	21	3	enables	enable	VERB
ejpam-6783	21	4	novel	novel	ADJ
ejpam-6783	21	5	results	result	NOUN
ejpam-6783	21	6	in	in	ADP
ejpam-6783	21	7	:	:	PUNCT
ejpam-6783	21	8	(	(	PUNCT
ejpam-6783	21	9	i	i	NOUN
ejpam-6783	21	10	)	)	PUNCT
ejpam-6783	21	11	fixed	fix	VERB
ejpam-6783	21	12	-	-	PUNCT
ejpam-6783	21	13	point	point	NOUN
ejpam-6783	21	14	theory	theory	NOUN
ejpam-6783	21	15	:	:	PUNCT
ejpam-6783	21	16	contraction	contraction	NOUN
ejpam-6783	21	17	mappings	mapping	NOUN
ejpam-6783	21	18	in	in	ADP
ejpam-6783	21	19	mr	mr	PROPN
ejpam-6783	21	20	-	-	PUNCT
ejpam-6783	21	21	metrics	metric	NOUN
ejpam-6783	21	22	yield	yield	VERB
ejpam-6783	21	23	unique	unique	ADJ
ejpam-6783	21	24	solutions	solution	NOUN
ejpam-6783	21	25	for	for	ADP
ejpam-6783	21	26	integral	integral	ADJ
ejpam-6783	21	27	equations	equation	NOUN
ejpam-6783	21	28	[	[	X
ejpam-6783	21	29	29	29	NUM
ejpam-6783	21	30	,	,	PUNCT
ejpam-6783	21	31	30	30	NUM
ejpam-6783	21	32	]	]	PUNCT
ejpam-6783	21	33	.	.	PUNCT
ejpam-6783	22	1	(	(	PUNCT
ejpam-6783	22	2	ii	ii	NOUN
ejpam-6783	22	3	)	)	PUNCT
ejpam-6783	22	4	measure	measure	NOUN
ejpam-6783	22	5	theory	theory	NOUN
ejpam-6783	22	6	:	:	PUNCT
ejpam-6783	22	7	fuzzy	fuzzy	ADJ
ejpam-6783	22	8	radon	radon	PROPN
ejpam-6783	22	9	-	-	PUNCT
ejpam-6783	22	10	nikodym	nikodym	PROPN
ejpam-6783	22	11	derivatives	derivative	NOUN
ejpam-6783	22	12	integrate	integrate	VERB
ejpam-6783	22	13	σ	σ	NOUN
ejpam-6783	22	14	-	-	ADJ
ejpam-6783	22	15	finite	finite	ADJ
ejpam-6783	22	16	measures	measure	NOUN
ejpam-6783	22	17	[	[	X
ejpam-6783	22	18	5	5	NUM
ejpam-6783	22	19	]	]	PUNCT
ejpam-6783	22	20	.	.	PUNCT
ejpam-6783	23	1	(	(	PUNCT
ejpam-6783	23	2	iii	iii	X
ejpam-6783	23	3	)	)	PUNCT
ejpam-6783	23	4	data	data	NOUN
ejpam-6783	23	5	science	science	NOUN
ejpam-6783	23	6	:	:	PUNCT
ejpam-6783	23	7	applications	application	NOUN
ejpam-6783	23	8	in	in	ADP
ejpam-6783	23	9	sensor	sensor	NOUN
ejpam-6783	23	10	networks	network	NOUN
ejpam-6783	23	11	[	[	X
ejpam-6783	23	12	31	31	NUM
ejpam-6783	23	13	]	]	PUNCT
ejpam-6783	23	14	and	and	CCONJ
ejpam-6783	23	15	medical	medical	ADJ
ejpam-6783	23	16	diagnostics	diagnostic	NOUN
ejpam-6783	23	17	[	[	X
ejpam-6783	23	18	10	10	NUM
ejpam-6783	23	19	]	]	PUNCT
ejpam-6783	23	20	.	.	PUNCT
ejpam-6783	24	1	building	build	VERB
ejpam-6783	24	2	on	on	ADP
ejpam-6783	24	3	prior	prior	ADJ
ejpam-6783	24	4	work	work	NOUN
ejpam-6783	24	5	in	in	ADP
ejpam-6783	24	6	ωb	ωb	NOUN
ejpam-6783	24	7	-	-	PUNCT
ejpam-6783	24	8	distances	distance	NOUN
ejpam-6783	24	9	[	[	X
ejpam-6783	24	10	32	32	NUM
ejpam-6783	24	11	]	]	PUNCT
ejpam-6783	24	12	,	,	PUNCT
ejpam-6783	24	13	simulation	simulation	NOUN
ejpam-6783	24	14	functions	function	NOUN
ejpam-6783	24	15	[	[	X
ejpam-6783	24	16	14	14	NUM
ejpam-6783	24	17	]	]	PUNCT
ejpam-6783	24	18	,	,	PUNCT
ejpam-6783	24	19	and	and	CCONJ
ejpam-6783	24	20	fractional	fractional	ADJ
ejpam-6783	24	21	calculus	calculus	NOUN
ejpam-6783	24	22	[	[	X
ejpam-6783	24	23	8	8	NUM
ejpam-6783	24	24	,	,	PUNCT
ejpam-6783	24	25	9	9	NUM
ejpam-6783	24	26	]	]	PUNCT
ejpam-6783	24	27	,	,	PUNCT
ejpam-6783	24	28	we	we	PRON
ejpam-6783	24	29	unify	unify	VERB
ejpam-6783	24	30	these	these	DET
ejpam-6783	24	31	concepts	concept	NOUN
ejpam-6783	24	32	under	under	ADP
ejpam-6783	24	33	the	the	DET
ejpam-6783	24	34	mr	mr	PROPN
ejpam-6783	24	35	-	-	PUNCT
ejpam-6783	24	36	metric	metric	ADJ
ejpam-6783	24	37	umbrella	umbrella	NOUN
ejpam-6783	24	38	.	.	PUNCT
ejpam-6783	25	1	our	our	PRON
ejpam-6783	25	2	results	result	NOUN
ejpam-6783	25	3	generalize	generalize	VERB
ejpam-6783	25	4	those	those	PRON
ejpam-6783	25	5	in	in	ADP
ejpam-6783	25	6	m∗-metric	m∗-metric	ADJ
ejpam-6783	25	7	spaces	space	NOUN
ejpam-6783	25	8	[	[	X
ejpam-6783	25	9	33	33	NUM
ejpam-6783	25	10	]	]	PUNCT
ejpam-6783	25	11	and	and	CCONJ
ejpam-6783	25	12	neutrosophic	neutrosophic	ADJ
ejpam-6783	25	13	sets	set	NOUN
ejpam-6783	25	14	[	[	X
ejpam-6783	25	15	10	10	NUM
ejpam-6783	25	16	,	,	PUNCT
ejpam-6783	25	17	34	34	NUM
ejpam-6783	25	18	,	,	PUNCT
ejpam-6783	25	19	35	35	NUM
ejpam-6783	25	20	]	]	PUNCT
ejpam-6783	25	21	.	.	PUNCT
ejpam-6783	26	1	definition	definition	NOUN
ejpam-6783	26	2	1	1	NUM
ejpam-6783	26	3	.	.	PUNCT
ejpam-6783	27	1	[	[	X
ejpam-6783	27	2	9	9	X
ejpam-6783	27	3	]	]	PUNCT
ejpam-6783	27	4	[	[	X
ejpam-6783	27	5	fractional	fractional	ADJ
ejpam-6783	27	6	derivative	derivative	NOUN
ejpam-6783	27	7	]	]	PUNCT
ejpam-6783	27	8	let	let	VERB
ejpam-6783	27	9	f	f	NOUN
ejpam-6783	27	10	:	:	PUNCT
ejpam-6783	28	1	[	[	X
ejpam-6783	28	2	0,∞	0,∞	NUM
ejpam-6783	28	3	)	)	PUNCT
ejpam-6783	28	4	→	→	PUNCT
ejpam-6783	28	5	r	r	NOUN
ejpam-6783	28	6	be	be	AUX
ejpam-6783	28	7	a	a	DET
ejpam-6783	28	8	function	function	NOUN
ejpam-6783	28	9	and	and	CCONJ
ejpam-6783	28	10	t	t	X
ejpam-6783	28	11	>	>	X
ejpam-6783	28	12	0	0	X
ejpam-6783	28	13	.	.	PUNCT
ejpam-6783	29	1	the	the	DET
ejpam-6783	29	2	fractional	fractional	ADJ
ejpam-6783	29	3	derivative	derivative	NOUN
ejpam-6783	29	4	of	of	ADP
ejpam-6783	29	5	f	f	PROPN
ejpam-6783	29	6	of	of	ADP
ejpam-6783	29	7	order	order	NOUN
ejpam-6783	29	8	α	α	NOUN
ejpam-6783	29	9	is	be	AUX
ejpam-6783	29	10	defined	define	VERB
ejpam-6783	29	11	by	by	ADP
ejpam-6783	29	12	:	:	PUNCT
ejpam-6783	29	13	aα(f)(t	aα(f)(t	NUM
ejpam-6783	29	14	)	)	PUNCT
ejpam-6783	30	1	=	=	SYM
ejpam-6783	30	2	lim	lim	PROPN
ejpam-6783	30	3	ϵ→0	ϵ→0	PUNCT
ejpam-6783	30	4	f(tg(ϵt−α))−	f(tg(ϵt−α))−	X
ejpam-6783	30	5	f(t	f(t	NOUN
ejpam-6783	30	6	)	)	PUNCT
ejpam-6783	30	7	ϵ	ϵ	X
ejpam-6783	30	8	,	,	PUNCT
ejpam-6783	30	9	where	where	SCONJ
ejpam-6783	30	10	α	α	X
ejpam-6783	30	11	∈	∈	PROPN
ejpam-6783	30	12	(	(	PUNCT
ejpam-6783	30	13	0	0	NUM
ejpam-6783	30	14	,	,	PUNCT
ejpam-6783	30	15	1	1	NUM
ejpam-6783	30	16	)	)	PUNCT
ejpam-6783	30	17	and	and	CCONJ
ejpam-6783	30	18	g	g	NOUN
ejpam-6783	30	19	:	:	PUNCT
ejpam-6783	30	20	r	r	NOUN
ejpam-6783	30	21	→	→	SYM
ejpam-6783	30	22	r	r	NOUN
ejpam-6783	30	23	is	be	AUX
ejpam-6783	30	24	a	a	DET
ejpam-6783	30	25	continuously	continuously	ADV
ejpam-6783	30	26	differentiable	differentiable	ADJ
ejpam-6783	30	27	function	function	NOUN
ejpam-6783	30	28	satisfying	satisfying	NOUN
ejpam-6783	30	29	:	:	PUNCT
ejpam-6783	30	30	g(0	g(0	NOUN
ejpam-6783	30	31	)	)	PUNCT
ejpam-6783	30	32	=	=	SYM
ejpam-6783	30	33	1	1	NUM
ejpam-6783	30	34	,	,	PUNCT
ejpam-6783	30	35	g′(0	g′(0	PROPN
ejpam-6783	30	36	)	)	PUNCT
ejpam-6783	30	37	=	=	SYM
ejpam-6783	30	38	1	1	X
ejpam-6783	30	39	.	.	X
ejpam-6783	30	40	definition	definition	NOUN
ejpam-6783	30	41	2	2	NUM
ejpam-6783	30	42	.	.	PUNCT
ejpam-6783	31	1	[	[	X
ejpam-6783	31	2	1	1	X
ejpam-6783	31	3	]	]	PUNCT
ejpam-6783	31	4	consider	consider	VERB
ejpam-6783	31	5	a	a	DET
ejpam-6783	31	6	non	non	ADJ
ejpam-6783	31	7	-	-	ADJ
ejpam-6783	31	8	empty	empty	ADJ
ejpam-6783	31	9	set	set	NOUN
ejpam-6783	31	10	x	x	PUNCT
ejpam-6783	31	11	̸=	̸=	PROPN
ejpam-6783	31	12	∅	∅	NOUN
ejpam-6783	31	13	and	and	CCONJ
ejpam-6783	31	14	a	a	DET
ejpam-6783	31	15	real	real	ADJ
ejpam-6783	31	16	number	number	NOUN
ejpam-6783	31	17	r	r	NOUN
ejpam-6783	31	18	>	>	X
ejpam-6783	31	19	1	1	NUM
ejpam-6783	31	20	.	.	PUNCT
ejpam-6783	32	1	a	a	DET
ejpam-6783	32	2	function	function	NOUN
ejpam-6783	32	3	m	m	VERB
ejpam-6783	32	4	:	:	PUNCT
ejpam-6783	32	5	x×	x×	X
ejpam-6783	32	6	x×	x×	PUNCT
ejpam-6783	32	7	x	x	PUNCT
ejpam-6783	32	8	→	→	PUNCT
ejpam-6783	32	9	[	[	X
ejpam-6783	32	10	0,∞	0,∞	NOUN
ejpam-6783	32	11	)	)	PUNCT
ejpam-6783	32	12	is	be	AUX
ejpam-6783	32	13	termed	term	VERB
ejpam-6783	32	14	an	an	DET
ejpam-6783	32	15	mr	mr	PROPN
ejpam-6783	32	16	-	-	PUNCT
ejpam-6783	32	17	metric	metric	NOUN
ejpam-6783	32	18	if	if	SCONJ
ejpam-6783	32	19	it	it	PRON
ejpam-6783	32	20	satisfies	satisfy	VERB
ejpam-6783	32	21	the	the	DET
ejpam-6783	32	22	following	follow	VERB
ejpam-6783	32	23	conditions	condition	NOUN
ejpam-6783	32	24	for	for	ADP
ejpam-6783	32	25	all	all	PRON
ejpam-6783	32	26	v	v	NOUN
ejpam-6783	32	27	,	,	PUNCT
ejpam-6783	32	28	ξ	ξ	PROPN
ejpam-6783	32	29	,	,	PUNCT
ejpam-6783	32	30	s	s	PART
ejpam-6783	32	31	,	,	PUNCT
ejpam-6783	32	32	ℓ1	ℓ1	NOUN
ejpam-6783	32	33	∈	∈	NOUN
ejpam-6783	33	1	x	x	X
ejpam-6783	33	2	:	:	PUNCT
ejpam-6783	33	3	•	•	ADP
ejpam-6783	33	4	m(v	m(v	PROPN
ejpam-6783	33	5	,	,	PUNCT
ejpam-6783	33	6	ξ	ξ	PROPN
ejpam-6783	33	7	,	,	PUNCT
ejpam-6783	33	8	s	s	PART
ejpam-6783	33	9	)	)	PUNCT
ejpam-6783	33	10	≥	≥	NOUN
ejpam-6783	33	11	0	0	NUM
ejpam-6783	33	12	.	.	NOUN
ejpam-6783	33	13	•	•	NUM
ejpam-6783	33	14	m(v	m(v	PROPN
ejpam-6783	33	15	,	,	PUNCT
ejpam-6783	33	16	ξ	ξ	PROPN
ejpam-6783	33	17	,	,	PUNCT
ejpam-6783	33	18	s	s	PART
ejpam-6783	33	19	)	)	PUNCT
ejpam-6783	33	20	=	=	SYM
ejpam-6783	33	21	0	0	PUNCT
ejpam-6783	34	1	if	if	SCONJ
ejpam-6783	34	2	and	and	CCONJ
ejpam-6783	34	3	only	only	ADV
ejpam-6783	34	4	if	if	SCONJ
ejpam-6783	34	5	v	v	NOUN
ejpam-6783	34	6	=	=	SYM
ejpam-6783	34	7	ξ	ξ	PROPN
ejpam-6783	34	8	=	=	PUNCT
ejpam-6783	34	9	s.	s.	PROPN
ejpam-6783	34	10	•	•	ADP
ejpam-6783	34	11	m(v	m(v	PROPN
ejpam-6783	34	12	,	,	PUNCT
ejpam-6783	34	13	ξ	ξ	PROPN
ejpam-6783	34	14	,	,	PUNCT
ejpam-6783	34	15	s	s	PART
ejpam-6783	34	16	)	)	PUNCT
ejpam-6783	34	17	remains	remain	VERB
ejpam-6783	34	18	invariant	invariant	ADJ
ejpam-6783	34	19	under	under	ADP
ejpam-6783	34	20	any	any	DET
ejpam-6783	34	21	permutation	permutation	NOUN
ejpam-6783	34	22	p(v	p(v	NOUN
ejpam-6783	34	23	,	,	PUNCT
ejpam-6783	34	24	ξ	ξ	PROPN
ejpam-6783	34	25	,	,	PUNCT
ejpam-6783	34	26	s	s	PART
ejpam-6783	34	27	)	)	PUNCT
ejpam-6783	34	28	,	,	PUNCT
ejpam-6783	34	29	i.e.	i.e.	X
ejpam-6783	34	30	,	,	PUNCT
ejpam-6783	34	31	m(v	m(v	PROPN
ejpam-6783	34	32	,	,	PUNCT
ejpam-6783	34	33	ξ	ξ	PROPN
ejpam-6783	34	34	,	,	PUNCT
ejpam-6783	34	35	s	s	PART
ejpam-6783	34	36	)	)	PUNCT
ejpam-6783	34	37	=	=	SYM
ejpam-6783	34	38	m(p(v	m(p(v	PROPN
ejpam-6783	34	39	,	,	PUNCT
ejpam-6783	34	40	ξ	ξ	PROPN
ejpam-6783	34	41	,	,	PUNCT
ejpam-6783	34	42	s	s	NOUN
ejpam-6783	34	43	)	)	PUNCT
ejpam-6783	34	44	)	)	PUNCT
ejpam-6783	34	45	.	.	PUNCT
ejpam-6783	35	1	•	•	NUM
ejpam-6783	35	2	the	the	DET
ejpam-6783	35	3	following	follow	VERB
ejpam-6783	35	4	inequality	inequality	NOUN
ejpam-6783	35	5	holds	hold	VERB
ejpam-6783	35	6	:	:	PUNCT
ejpam-6783	35	7	m(v	m(v	NUM
ejpam-6783	35	8	,	,	PUNCT
ejpam-6783	35	9	ξ	ξ	PROPN
ejpam-6783	35	10	,	,	PUNCT
ejpam-6783	35	11	s	s	NOUN
ejpam-6783	35	12	)	)	PUNCT
ejpam-6783	35	13	≤	≤	NOUN
ejpam-6783	35	14	r	r	NOUN
ejpam-6783	36	1	[	[	X
ejpam-6783	36	2	m(v	m(v	X
ejpam-6783	36	3	,	,	PUNCT
ejpam-6783	36	4	ξ	ξ	X
ejpam-6783	36	5	,	,	PUNCT
ejpam-6783	36	6	ℓ1	ℓ1	NOUN
ejpam-6783	36	7	)	)	PUNCT
ejpam-6783	37	1	+	+	SYM
ejpam-6783	37	2	m(v	m(v	NOUN
ejpam-6783	37	3	,	,	PUNCT
ejpam-6783	37	4	ℓ1	ℓ1	NOUN
ejpam-6783	37	5	,	,	PUNCT
ejpam-6783	37	6	s	s	X
ejpam-6783	37	7	)	)	PUNCT
ejpam-6783	37	8	+	+	ADJ
ejpam-6783	37	9	m(ℓ1	m(ℓ1	NOUN
ejpam-6783	37	10	,	,	PUNCT
ejpam-6783	37	11	ξ	ξ	PROPN
ejpam-6783	37	12	,	,	PUNCT
ejpam-6783	37	13	s	s	PART
ejpam-6783	37	14	)	)	PUNCT
ejpam-6783	37	15	]	]	PUNCT
ejpam-6783	37	16	.	.	PUNCT
ejpam-6783	38	1	a	a	DET
ejpam-6783	38	2	structure	structure	NOUN
ejpam-6783	38	3	(	(	PUNCT
ejpam-6783	38	4	x	x	X
ejpam-6783	38	5	,	,	PUNCT
ejpam-6783	38	6	m	m	NOUN
ejpam-6783	38	7	)	)	PUNCT
ejpam-6783	38	8	that	that	PRON
ejpam-6783	38	9	adheres	adhere	VERB
ejpam-6783	38	10	to	to	ADP
ejpam-6783	38	11	these	these	DET
ejpam-6783	38	12	properties	property	NOUN
ejpam-6783	38	13	is	be	AUX
ejpam-6783	38	14	defined	define	VERB
ejpam-6783	38	15	as	as	ADP
ejpam-6783	38	16	an	an	DET
ejpam-6783	38	17	mr	mr	PROPN
ejpam-6783	38	18	-	-	PUNCT
ejpam-6783	38	19	metric	metric	ADJ
ejpam-6783	38	20	space	space	NOUN
ejpam-6783	38	21	.	.	PUNCT
ejpam-6783	39	1	a.	a.	PROPN
ejpam-6783	39	2	malkawi	malkawi	PROPN
ejpam-6783	39	3	,	,	PUNCT
ejpam-6783	39	4	a.	a.	PROPN
ejpam-6783	39	5	rabaiah	rabaiah	PROPN
ejpam-6783	39	6	/	/	SYM
ejpam-6783	39	7	eur	eur	PROPN
ejpam-6783	39	8	.	.	PUNCT
ejpam-6783	40	1	j.	j.	PROPN
ejpam-6783	40	2	pure	pure	PROPN
ejpam-6783	40	3	appl	appl	PROPN
ejpam-6783	40	4	.	.	PROPN
ejpam-6783	40	5	math	math	PROPN
ejpam-6783	40	6	,	,	PUNCT
ejpam-6783	40	7	18	18	NUM
ejpam-6783	40	8	(	(	PUNCT
ejpam-6783	40	9	4	4	NUM
ejpam-6783	40	10	)	)	PUNCT
ejpam-6783	40	11	(	(	PUNCT
ejpam-6783	40	12	2025	2025	NUM
ejpam-6783	40	13	)	)	PUNCT
ejpam-6783	40	14	,	,	PUNCT
ejpam-6783	40	15	6783	6783	NUM
ejpam-6783	40	16	3	3	NUM
ejpam-6783	40	17	of	of	ADP
ejpam-6783	40	18	10	10	NUM
ejpam-6783	40	19	2	2	NUM
ejpam-6783	40	20	.	.	PUNCT
ejpam-6783	40	21	main	main	ADJ
ejpam-6783	40	22	results	result	NOUN
ejpam-6783	40	23	the	the	DET
ejpam-6783	40	24	paper	paper	NOUN
ejpam-6783	40	25	’s	’s	PART
ejpam-6783	40	26	main	main	ADJ
ejpam-6783	40	27	contributions	contribution	NOUN
ejpam-6783	40	28	are	be	AUX
ejpam-6783	40	29	anchored	anchor	VERB
ejpam-6783	40	30	in	in	ADP
ejpam-6783	40	31	three	three	NUM
ejpam-6783	40	32	pillars	pillar	NOUN
ejpam-6783	40	33	:	:	PUNCT
ejpam-6783	40	34	(	(	PUNCT
ejpam-6783	40	35	i	i	NOUN
ejpam-6783	40	36	)	)	PUNCT
ejpam-6783	40	37	fixed	fix	VERB
ejpam-6783	40	38	-	-	PUNCT
ejpam-6783	40	39	point	point	NOUN
ejpam-6783	40	40	theory	theory	NOUN
ejpam-6783	40	41	:	:	PUNCT
ejpam-6783	40	42	theorem	theorem	NOUN
ejpam-6783	40	43	1	1	NUM
ejpam-6783	40	44	establishes	establish	VERB
ejpam-6783	40	45	a	a	DET
ejpam-6783	40	46	fuzzy	fuzzy	ADJ
ejpam-6783	40	47	banach	banach	NOUN
ejpam-6783	40	48	contraction	contraction	NOUN
ejpam-6783	40	49	under	under	ADP
ejpam-6783	40	50	the	the	DET
ejpam-6783	40	51	hausdorff	hausdorff	NOUN
ejpam-6783	40	52	mr	mr	PROPN
ejpam-6783	40	53	-	-	PROPN
ejpam-6783	40	54	metric	metric	NOUN
ejpam-6783	40	55	hm	hm	INTJ
ejpam-6783	40	56	,	,	PUNCT
ejpam-6783	40	57	with	with	ADP
ejpam-6783	40	58	λ	λ	PROPN
ejpam-6783	40	59	∈	∈	PROPN
ejpam-6783	41	1	[	[	X
ejpam-6783	41	2	0	0	NUM
ejpam-6783	41	3	,	,	PUNCT
ejpam-6783	41	4	1	1	NUM
ejpam-6783	41	5	/	/	SYM
ejpam-6783	41	6	r	r	AUX
ejpam-6783	41	7	)	)	PUNCT
ejpam-6783	41	8	ensuring	ensure	VERB
ejpam-6783	41	9	convergence	convergence	NOUN
ejpam-6783	41	10	.	.	PUNCT
ejpam-6783	42	1	this	this	PRON
ejpam-6783	42	2	extends	extend	VERB
ejpam-6783	42	3	results	result	NOUN
ejpam-6783	42	4	in	in	ADP
ejpam-6783	42	5	b	b	NOUN
ejpam-6783	42	6	-	-	ADJ
ejpam-6783	42	7	metric	metric	ADJ
ejpam-6783	42	8	spaces	space	NOUN
ejpam-6783	42	9	[	[	X
ejpam-6783	42	10	6	6	NUM
ejpam-6783	42	11	]	]	PUNCT
ejpam-6783	42	12	and	and	CCONJ
ejpam-6783	42	13	cyclic	cyclic	ADJ
ejpam-6783	42	14	contractions	contraction	NOUN
ejpam-6783	42	15	[	[	X
ejpam-6783	42	16	19	19	NUM
ejpam-6783	42	17	]	]	PUNCT
ejpam-6783	42	18	.	.	PUNCT
ejpam-6783	43	1	(	(	PUNCT
ejpam-6783	43	2	ii	ii	NOUN
ejpam-6783	43	3	)	)	PUNCT
ejpam-6783	43	4	measure	measure	NOUN
ejpam-6783	43	5	concentration	concentration	NOUN
ejpam-6783	43	6	:	:	PUNCT
ejpam-6783	43	7	theorem	theorem	ADJ
ejpam-6783	43	8	2	2	NUM
ejpam-6783	43	9	leverages	leverage	VERB
ejpam-6783	43	10	mr	mr	ADJ
ejpam-6783	43	11	-	-	PUNCT
ejpam-6783	43	12	metric	metric	ADJ
ejpam-6783	43	13	compactness	compactness	NOUN
ejpam-6783	43	14	to	to	PART
ejpam-6783	43	15	derive	derive	VERB
ejpam-6783	43	16	fuzzy	fuzzy	ADJ
ejpam-6783	43	17	epicenters	epicenter	NOUN
ejpam-6783	43	18	for	for	ADP
ejpam-6783	43	19	sensor	sensor	NOUN
ejpam-6783	43	20	data	datum	NOUN
ejpam-6783	43	21	,	,	PUNCT
ejpam-6783	43	22	generalizing	generalize	VERB
ejpam-6783	43	23	concentration	concentration	NOUN
ejpam-6783	43	24	bounds	bound	NOUN
ejpam-6783	43	25	in	in	ADP
ejpam-6783	43	26	[	[	X
ejpam-6783	43	27	4	4	NUM
ejpam-6783	43	28	]	]	PUNCT
ejpam-6783	43	29	.	.	PUNCT
ejpam-6783	44	1	(	(	PUNCT
ejpam-6783	44	2	iii	iii	NOUN
ejpam-6783	44	3	)	)	PUNCT
ejpam-6783	44	4	fuzzy	fuzzy	ADJ
ejpam-6783	44	5	derivatives	derivative	NOUN
ejpam-6783	44	6	:	:	PUNCT
ejpam-6783	44	7	theorem	theorem	VERB
ejpam-6783	44	8	3	3	NUM
ejpam-6783	44	9	constructs	construct	VERB
ejpam-6783	44	10	the	the	DET
ejpam-6783	44	11	mr	mr	PROPN
ejpam-6783	44	12	-	-	PUNCT
ejpam-6783	44	13	fuzzy	fuzzy	ADJ
ejpam-6783	44	14	radon	radon	PROPN
ejpam-6783	44	15	-	-	PUNCT
ejpam-6783	44	16	nikodym	nikodym	PROPN
ejpam-6783	44	17	derivative	derivative	NOUN
ejpam-6783	44	18	dν	dν	VERB
ejpam-6783	44	19	dµ	dµ	PROPN
ejpam-6783	44	20	via	via	ADP
ejpam-6783	44	21	α	α	NOUN
ejpam-6783	44	22	-	-	PUNCT
ejpam-6783	44	23	cuts	cut	NOUN
ejpam-6783	44	24	,	,	PUNCT
ejpam-6783	44	25	bridging	bridge	VERB
ejpam-6783	44	26	classical	classical	ADJ
ejpam-6783	44	27	measure	measure	NOUN
ejpam-6783	44	28	theory	theory	NOUN
ejpam-6783	44	29	[	[	X
ejpam-6783	44	30	5	5	NUM
ejpam-6783	44	31	]	]	PUNCT
ejpam-6783	44	32	and	and	CCONJ
ejpam-6783	44	33	puri	puri	PROPN
ejpam-6783	44	34	-	-	PUNCT
ejpam-6783	44	35	ralescu	ralescu	NOUN
ejpam-6783	44	36	integrals	integral	NOUN
ejpam-6783	44	37	.	.	PUNCT
ejpam-6783	45	1	key	key	ADJ
ejpam-6783	45	2	tools	tool	NOUN
ejpam-6783	45	3	include	include	VERB
ejpam-6783	45	4	:	:	PUNCT
ejpam-6783	45	5	•	•	NUM
ejpam-6783	45	6	fubini	fubini	VERB
ejpam-6783	45	7	-	-	ADJ
ejpam-6783	45	8	tonelli	tonelli	NOUN
ejpam-6783	45	9	theorem	theorem	NOUN
ejpam-6783	45	10	:	:	PUNCT
ejpam-6783	45	11	for	for	ADP
ejpam-6783	45	12	fuzzy	fuzzy	ADJ
ejpam-6783	45	13	integral	integral	ADJ
ejpam-6783	45	14	representation	representation	NOUN
ejpam-6783	45	15	[	[	X
ejpam-6783	45	16	5	5	NUM
ejpam-6783	45	17	]	]	PUNCT
ejpam-6783	45	18	.	.	PUNCT
ejpam-6783	46	1	•	•	PROPN
ejpam-6783	46	2	vitali	vitali	PROPN
ejpam-6783	46	3	covering	covering	NOUN
ejpam-6783	46	4	:	:	PUNCT
ejpam-6783	46	5	for	for	ADP
ejpam-6783	46	6	subsequence	subsequence	NOUN
ejpam-6783	46	7	extraction	extraction	NOUN
ejpam-6783	46	8	in	in	ADP
ejpam-6783	46	9	measure	measure	NOUN
ejpam-6783	46	10	concentration	concentration	NOUN
ejpam-6783	46	11	[	[	X
ejpam-6783	46	12	4	4	NUM
ejpam-6783	46	13	]	]	PUNCT
ejpam-6783	46	14	.	.	PUNCT
ejpam-6783	47	1	theorem	theorem	ADJ
ejpam-6783	47	2	1	1	NUM
ejpam-6783	47	3	(	(	PUNCT
ejpam-6783	47	4	fuzzy	fuzzy	ADJ
ejpam-6783	47	5	-	-	PUNCT
ejpam-6783	47	6	measurable	measurable	ADJ
ejpam-6783	47	7	banach	banach	NOUN
ejpam-6783	47	8	contraction	contraction	NOUN
ejpam-6783	47	9	)	)	PUNCT
ejpam-6783	47	10	.	.	PUNCT
ejpam-6783	48	1	let	let	VERB
ejpam-6783	48	2	(	(	PUNCT
ejpam-6783	48	3	x	x	X
ejpam-6783	48	4	,	,	PUNCT
ejpam-6783	48	5	m	m	NOUN
ejpam-6783	48	6	,	,	PUNCT
ejpam-6783	48	7	r	r	NOUN
ejpam-6783	48	8	)	)	PUNCT
ejpam-6783	48	9	be	be	AUX
ejpam-6783	48	10	a	a	DET
ejpam-6783	48	11	complete	complete	ADJ
ejpam-6783	48	12	mr	mr	ADJ
ejpam-6783	48	13	-	-	PUNCT
ejpam-6783	48	14	metric	metric	ADJ
ejpam-6783	48	15	space	space	NOUN
ejpam-6783	48	16	,	,	PUNCT
ejpam-6783	48	17	µ	µ	X
ejpam-6783	48	18	a	a	DET
ejpam-6783	48	19	borel	borel	NOUN
ejpam-6783	48	20	measure	measure	NOUN
ejpam-6783	48	21	on	on	ADP
ejpam-6783	48	22	x	x	X
ejpam-6783	48	23	,	,	PUNCT
ejpam-6783	48	24	and	and	CCONJ
ejpam-6783	48	25	ã	ã	PROPN
ejpam-6783	48	26	a	a	DET
ejpam-6783	48	27	fuzzy	fuzzy	ADJ
ejpam-6783	48	28	measurable	measurable	NOUN
ejpam-6783	48	29	set	set	VERB
ejpam-6783	48	30	with	with	ADP
ejpam-6783	48	31	membership	membership	NOUN
ejpam-6783	48	32	function	function	NOUN
ejpam-6783	48	33	µã	µã	PUNCT
ejpam-6783	48	34	:	:	PUNCT
ejpam-6783	48	35	x	x	X
ejpam-6783	48	36	→	→	SYM
ejpam-6783	49	1	[	[	X
ejpam-6783	49	2	0	0	NUM
ejpam-6783	49	3	,	,	PUNCT
ejpam-6783	49	4	1	1	NUM
ejpam-6783	49	5	]	]	PUNCT
ejpam-6783	49	6	.	.	PUNCT
ejpam-6783	50	1	suppose	suppose	VERB
ejpam-6783	50	2	a	a	DET
ejpam-6783	50	3	fuzzy	fuzzy	ADJ
ejpam-6783	50	4	mapping	mapping	NOUN
ejpam-6783	50	5	f	f	NOUN
ejpam-6783	50	6	:	:	PUNCT
ejpam-6783	50	7	x	x	X
ejpam-6783	50	8	→	→	SYM
ejpam-6783	50	9	f(x	f(x	PROPN
ejpam-6783	50	10	)	)	PUNCT
ejpam-6783	50	11	satisfies	satisfie	NOUN
ejpam-6783	50	12	:	:	PUNCT
ejpam-6783	50	13	(	(	PUNCT
ejpam-6783	50	14	i	i	NOUN
ejpam-6783	50	15	)	)	PUNCT
ejpam-6783	50	16	(	(	PUNCT
ejpam-6783	50	17	fuzzy	fuzzy	ADJ
ejpam-6783	50	18	contraction	contraction	NOUN
ejpam-6783	50	19	)	)	PUNCT
ejpam-6783	51	1	hm	hm	INTJ
ejpam-6783	51	2	(	(	PUNCT
ejpam-6783	51	3	f(v),f(ξ	f(v),f(ξ	NOUN
ejpam-6783	51	4	)	)	PUNCT
ejpam-6783	51	5	)	)	PUNCT
ejpam-6783	52	1	≤	≤	NUM
ejpam-6783	53	1	λ	λ	PROPN
ejpam-6783	53	2	∫	∫	PROPN
ejpam-6783	53	3	x	x	SYM
ejpam-6783	53	4	m(v	m(v	PROPN
ejpam-6783	53	5	,	,	PUNCT
ejpam-6783	53	6	ξ	ξ	PROPN
ejpam-6783	53	7	,	,	PUNCT
ejpam-6783	53	8	s	s	X
ejpam-6783	53	9	)	)	PUNCT
ejpam-6783	53	10	dµã(s	dµã(s	PROPN
ejpam-6783	53	11	)	)	PUNCT
ejpam-6783	53	12	,	,	PUNCT
ejpam-6783	53	13	λ	λ	PROPN
ejpam-6783	53	14	∈	∈	PROPN
ejpam-6783	54	1	[	[	X
ejpam-6783	54	2	0	0	NUM
ejpam-6783	54	3	,	,	PUNCT
ejpam-6783	54	4	1	1	NUM
ejpam-6783	54	5	/	/	SYM
ejpam-6783	54	6	r	r	NOUN
ejpam-6783	54	7	)	)	PUNCT
ejpam-6783	54	8	,	,	PUNCT
ejpam-6783	54	9	where	where	SCONJ
ejpam-6783	54	10	hm	hm	PRON
ejpam-6783	54	11	is	be	AUX
ejpam-6783	54	12	the	the	DET
ejpam-6783	54	13	hausdorff	hausdorff	NOUN
ejpam-6783	54	14	mr	mr	NOUN
ejpam-6783	54	15	-	-	ADJ
ejpam-6783	54	16	metric	metric	ADJ
ejpam-6783	54	17	on	on	ADP
ejpam-6783	54	18	fuzzy	fuzzy	ADJ
ejpam-6783	54	19	sets	set	NOUN
ejpam-6783	54	20	.	.	PUNCT
ejpam-6783	55	1	(	(	PUNCT
ejpam-6783	55	2	ii	ii	NOUN
ejpam-6783	55	3	)	)	PUNCT
ejpam-6783	55	4	(	(	PUNCT
ejpam-6783	55	5	measurability	measurability	NOUN
ejpam-6783	55	6	)	)	PUNCT
ejpam-6783	55	7	f−1(b	f−1(b	PROPN
ejpam-6783	55	8	)	)	PUNCT
ejpam-6783	55	9	is	be	AUX
ejpam-6783	55	10	µ-measurable	µ-measurable	ADJ
ejpam-6783	55	11	for	for	ADP
ejpam-6783	55	12	every	every	DET
ejpam-6783	55	13	borel	borel	NOUN
ejpam-6783	55	14	b	b	PROPN
ejpam-6783	55	15	⊆	⊆	NUM
ejpam-6783	55	16	x.	x.	NOUN
ejpam-6783	55	17	then	then	ADV
ejpam-6783	55	18	,	,	PUNCT
ejpam-6783	55	19	f	f	PROPN
ejpam-6783	55	20	admits	admit	VERB
ejpam-6783	55	21	a	a	DET
ejpam-6783	55	22	unique	unique	ADJ
ejpam-6783	55	23	fuzzy	fuzzy	ADJ
ejpam-6783	55	24	fixed	fix	VERB
ejpam-6783	55	25	point	point	NOUN
ejpam-6783	55	26	ũ	ũ	PROPN
ejpam-6783	55	27	such	such	ADJ
ejpam-6783	55	28	that	that	DET
ejpam-6783	55	29	µũ(v	µũ(v	NOUN
ejpam-6783	55	30	)	)	PUNCT
ejpam-6783	55	31	=	=	SYM
ejpam-6783	55	32	supξ∈x	supξ∈x	PROPN
ejpam-6783	55	33	µf(ξ)(v	µf(ξ)(v	NUM
ejpam-6783	55	34	)	)	PUNCT
ejpam-6783	55	35	.	.	PUNCT
ejpam-6783	56	1	proof	proof	NOUN
ejpam-6783	56	2	.	.	PUNCT
ejpam-6783	57	1	step	step	NOUN
ejpam-6783	57	2	1	1	NUM
ejpam-6783	57	3	:	:	PUNCT
ejpam-6783	57	4	construct	construct	VERB
ejpam-6783	57	5	a	a	DET
ejpam-6783	57	6	cauchy	cauchy	ADJ
ejpam-6783	57	7	sequence	sequence	NOUN
ejpam-6783	57	8	.	.	PUNCT
ejpam-6783	58	1	choose	choose	VERB
ejpam-6783	58	2	v0	v0	NOUN
ejpam-6783	58	3	∈	∈	NOUN
ejpam-6783	58	4	x	x	PUNCT
ejpam-6783	58	5	and	and	CCONJ
ejpam-6783	58	6	define	define	VERB
ejpam-6783	58	7	{	{	PUNCT
ejpam-6783	58	8	vn	vn	NOUN
ejpam-6783	58	9	}	}	PUNCT
ejpam-6783	58	10	recursively	recursively	ADV
ejpam-6783	58	11	by	by	ADP
ejpam-6783	58	12	vn+1	vn+1	PROPN
ejpam-6783	58	13	∈	∈	PROPN
ejpam-6783	58	14	f(vn	f(vn	PROPN
ejpam-6783	58	15	)	)	PUNCT
ejpam-6783	58	16	.	.	PUNCT
ejpam-6783	59	1	from	from	ADP
ejpam-6783	59	2	the	the	DET
ejpam-6783	59	3	fuzzy	fuzzy	ADJ
ejpam-6783	59	4	contraction	contraction	NOUN
ejpam-6783	59	5	condition	condition	NOUN
ejpam-6783	59	6	:	:	PUNCT
ejpam-6783	59	7	hm	hm	INTJ
ejpam-6783	59	8	(	(	PUNCT
ejpam-6783	59	9	f(vn),f(vn+1	f(vn),f(vn+1	PROPN
ejpam-6783	59	10	)	)	PUNCT
ejpam-6783	59	11	)	)	PUNCT
ejpam-6783	60	1	≤	≤	NUM
ejpam-6783	61	1	λ	λ	PROPN
ejpam-6783	61	2	∫	∫	PROPN
ejpam-6783	61	3	x	x	SYM
ejpam-6783	61	4	m(vn	m(vn	PROPN
ejpam-6783	61	5	,	,	PUNCT
ejpam-6783	61	6	vn+1	vn+1	PROPN
ejpam-6783	61	7	,	,	PUNCT
ejpam-6783	61	8	s	s	X
ejpam-6783	61	9	)	)	PUNCT
ejpam-6783	61	10	dµã(s	dµã(s	PROPN
ejpam-6783	61	11	)	)	PUNCT
ejpam-6783	61	12	.	.	PUNCT
ejpam-6783	62	1	by	by	ADP
ejpam-6783	62	2	the	the	DET
ejpam-6783	62	3	mr	mr	PROPN
ejpam-6783	62	4	-	-	PUNCT
ejpam-6783	62	5	metric	metric	ADJ
ejpam-6783	62	6	properties	property	NOUN
ejpam-6783	62	7	and	and	CCONJ
ejpam-6783	62	8	induction	induction	NOUN
ejpam-6783	62	9	:	:	PUNCT
ejpam-6783	62	10	m(vn	m(vn	NUM
ejpam-6783	62	11	,	,	PUNCT
ejpam-6783	62	12	vn+1	vn+1	PROPN
ejpam-6783	62	13	,	,	PUNCT
ejpam-6783	62	14	vn+2	vn+2	NOUN
ejpam-6783	62	15	)	)	PUNCT
ejpam-6783	62	16	≤	≤	NOUN
ejpam-6783	62	17	(	(	PUNCT
ejpam-6783	62	18	λr)n	λr)n	PROPN
ejpam-6783	62	19	∫	∫	PROPN
ejpam-6783	62	20	x	x	X
ejpam-6783	62	21	m(v0	m(v0	PROPN
ejpam-6783	62	22	,	,	PUNCT
ejpam-6783	62	23	v1	v1	PROPN
ejpam-6783	62	24	,	,	PUNCT
ejpam-6783	62	25	s	s	X
ejpam-6783	62	26	)	)	PUNCT
ejpam-6783	62	27	dµã(s	dµã(s	PROPN
ejpam-6783	62	28	)	)	PUNCT
ejpam-6783	62	29	.	.	PUNCT
ejpam-6783	63	1	step	step	NOUN
ejpam-6783	63	2	2	2	NUM
ejpam-6783	63	3	:	:	PUNCT
ejpam-6783	63	4	prove	prove	VERB
ejpam-6783	63	5	convergence	convergence	NOUN
ejpam-6783	63	6	.	.	PUNCT
ejpam-6783	64	1	since	since	SCONJ
ejpam-6783	64	2	λr	λr	ADP
ejpam-6783	64	3	<	<	X
ejpam-6783	64	4	1	1	NUM
ejpam-6783	64	5	,	,	PUNCT
ejpam-6783	64	6	∑∞	∑∞	NOUN
ejpam-6783	64	7	n=0m(vn	n=0m(vn	PROPN
ejpam-6783	64	8	,	,	PUNCT
ejpam-6783	64	9	vn+1	vn+1	PROPN
ejpam-6783	64	10	,	,	PUNCT
ejpam-6783	64	11	vn+2	vn+2	NOUN
ejpam-6783	64	12	)	)	PUNCT
ejpam-6783	64	13	<	<	X
ejpam-6783	64	14	∞.	∞.	PROPN
ejpam-6783	64	15	for	for	ADP
ejpam-6783	64	16	m	m	PROPN
ejpam-6783	64	17	>	>	X
ejpam-6783	64	18	n	n	CCONJ
ejpam-6783	64	19	,	,	PUNCT
ejpam-6783	64	20	the	the	DET
ejpam-6783	64	21	mr	mr	PROPN
ejpam-6783	64	22	-	-	PUNCT
ejpam-6783	64	23	metric	metric	ADJ
ejpam-6783	64	24	inequality	inequality	NOUN
ejpam-6783	64	25	gives	give	VERB
ejpam-6783	64	26	:	:	PUNCT
ejpam-6783	64	27	m(vn	m(vn	NUM
ejpam-6783	64	28	,	,	PUNCT
ejpam-6783	64	29	vm	vm	PROPN
ejpam-6783	64	30	,	,	PUNCT
ejpam-6783	64	31	vp	vp	NOUN
ejpam-6783	64	32	)	)	PUNCT
ejpam-6783	64	33	≤	≤	NOUN
ejpam-6783	64	34	r	r	NOUN
ejpam-6783	64	35	(	(	PUNCT
ejpam-6783	64	36	m(vn	m(vn	PROPN
ejpam-6783	64	37	,	,	PUNCT
ejpam-6783	64	38	vn+1	vn+1	PROPN
ejpam-6783	64	39	,	,	PUNCT
ejpam-6783	64	40	vp	vp	NOUN
ejpam-6783	64	41	)	)	PUNCT
ejpam-6783	64	42	+	+	NOUN
ejpam-6783	64	43	m(vn+1	m(vn+1	ADJ
ejpam-6783	64	44	,	,	PUNCT
ejpam-6783	64	45	vm	vm	PROPN
ejpam-6783	64	46	,	,	PUNCT
ejpam-6783	64	47	vp	vp	NOUN
ejpam-6783	64	48	)	)	PUNCT
ejpam-6783	64	49	)	)	PUNCT
ejpam-6783	64	50	.	.	PUNCT
ejpam-6783	65	1	a.	a.	PROPN
ejpam-6783	65	2	malkawi	malkawi	PROPN
ejpam-6783	65	3	,	,	PUNCT
ejpam-6783	65	4	a.	a.	PROPN
ejpam-6783	65	5	rabaiah	rabaiah	PROPN
ejpam-6783	65	6	/	/	SYM
ejpam-6783	65	7	eur	eur	PROPN
ejpam-6783	65	8	.	.	PUNCT
ejpam-6783	66	1	j.	j.	PROPN
ejpam-6783	66	2	pure	pure	PROPN
ejpam-6783	66	3	appl	appl	PROPN
ejpam-6783	66	4	.	.	PROPN
ejpam-6783	66	5	math	math	PROPN
ejpam-6783	66	6	,	,	PUNCT
ejpam-6783	66	7	18	18	NUM
ejpam-6783	66	8	(	(	PUNCT
ejpam-6783	66	9	4	4	NUM
ejpam-6783	66	10	)	)	PUNCT
ejpam-6783	66	11	(	(	PUNCT
ejpam-6783	66	12	2025	2025	NUM
ejpam-6783	66	13	)	)	PUNCT
ejpam-6783	66	14	,	,	PUNCT
ejpam-6783	66	15	6783	6783	NUM
ejpam-6783	66	16	4	4	NUM
ejpam-6783	66	17	of	of	ADP
ejpam-6783	66	18	10	10	NUM
ejpam-6783	66	19	thus	thus	ADV
ejpam-6783	66	20	,	,	PUNCT
ejpam-6783	66	21	{	{	PUNCT
ejpam-6783	66	22	vn	vn	PART
ejpam-6783	66	23	}	}	PUNCT
ejpam-6783	66	24	is	be	AUX
ejpam-6783	66	25	cauchy	cauchy	ADJ
ejpam-6783	66	26	and	and	CCONJ
ejpam-6783	66	27	converges	converge	VERB
ejpam-6783	66	28	to	to	ADP
ejpam-6783	66	29	some	some	DET
ejpam-6783	66	30	u	u	NOUN
ejpam-6783	66	31	∈	∈	NOUN
ejpam-6783	66	32	x.	x.	NOUN
ejpam-6783	66	33	step	step	NOUN
ejpam-6783	66	34	3	3	NUM
ejpam-6783	66	35	:	:	PUNCT
ejpam-6783	66	36	existence	existence	NOUN
ejpam-6783	66	37	of	of	ADP
ejpam-6783	66	38	fixed	fix	VERB
ejpam-6783	66	39	point	point	NOUN
ejpam-6783	66	40	.	.	PUNCT
ejpam-6783	67	1	by	by	ADP
ejpam-6783	67	2	fuzzy	fuzzy	ADJ
ejpam-6783	67	3	continuity	continuity	NOUN
ejpam-6783	67	4	and	and	CCONJ
ejpam-6783	67	5	measurability	measurability	NOUN
ejpam-6783	67	6	:	:	PUNCT
ejpam-6783	67	7	lim	lim	PROPN
ejpam-6783	67	8	n→∞	n→∞	NUM
ejpam-6783	67	9	hm	hm	INTJ
ejpam-6783	67	10	(	(	PUNCT
ejpam-6783	67	11	f(vn),f(u	f(vn),f(u	ADJ
ejpam-6783	67	12	)	)	PUNCT
ejpam-6783	67	13	)	)	PUNCT
ejpam-6783	68	1	=	=	PUNCT
ejpam-6783	68	2	0	0	X
ejpam-6783	68	3	.	.	PUNCT
ejpam-6783	69	1	since	since	SCONJ
ejpam-6783	69	2	vn+1	vn+1	PROPN
ejpam-6783	69	3	∈	∈	PROPN
ejpam-6783	69	4	f(vn	f(vn	PROPN
ejpam-6783	69	5	)	)	PUNCT
ejpam-6783	69	6	,	,	PUNCT
ejpam-6783	69	7	taking	take	VERB
ejpam-6783	69	8	limits	limit	NOUN
ejpam-6783	69	9	implies	imply	VERB
ejpam-6783	69	10	u	u	PROPN
ejpam-6783	69	11	∈	∈	PROPN
ejpam-6783	69	12	f(u	f(u	PROPN
ejpam-6783	69	13	)	)	PUNCT
ejpam-6783	69	14	.	.	PUNCT
ejpam-6783	70	1	step	step	NOUN
ejpam-6783	70	2	4	4	NUM
ejpam-6783	70	3	:	:	PUNCT
ejpam-6783	70	4	uniqueness	uniqueness	NOUN
ejpam-6783	70	5	.	.	PUNCT
ejpam-6783	71	1	if	if	SCONJ
ejpam-6783	71	2	u	u	NOUN
ejpam-6783	71	3	,	,	PUNCT
ejpam-6783	71	4	u′	u′	PRON
ejpam-6783	71	5	are	be	AUX
ejpam-6783	71	6	distinct	distinct	ADJ
ejpam-6783	71	7	fixed	fix	VERB
ejpam-6783	71	8	points	point	NOUN
ejpam-6783	71	9	,	,	PUNCT
ejpam-6783	71	10	the	the	DET
ejpam-6783	71	11	contraction	contraction	NOUN
ejpam-6783	71	12	condition	condition	NOUN
ejpam-6783	71	13	leads	lead	VERB
ejpam-6783	71	14	to	to	ADP
ejpam-6783	71	15	:	:	PUNCT
ejpam-6783	71	16	m(u	m(u	PROPN
ejpam-6783	71	17	,	,	PUNCT
ejpam-6783	71	18	u′	u′	PROPN
ejpam-6783	71	19	,	,	PUNCT
ejpam-6783	71	20	u′	u′	PROPN
ejpam-6783	71	21	)	)	PUNCT
ejpam-6783	71	22	≤	≤	PUNCT
ejpam-6783	72	1	λ	λ	PROPN
ejpam-6783	72	2	∫	∫	PROPN
ejpam-6783	72	3	x	x	X
ejpam-6783	72	4	m(u	m(u	PROPN
ejpam-6783	72	5	,	,	PUNCT
ejpam-6783	72	6	u′	u′	PROPN
ejpam-6783	72	7	,	,	PUNCT
ejpam-6783	72	8	s	s	PART
ejpam-6783	72	9	)	)	PUNCT
ejpam-6783	72	10	dµã(s	dµã(s	PROPN
ejpam-6783	72	11	)	)	PUNCT
ejpam-6783	72	12	<	<	X
ejpam-6783	72	13	m(u	m(u	PROPN
ejpam-6783	72	14	,	,	PUNCT
ejpam-6783	72	15	u′	u′	PROPN
ejpam-6783	72	16	,	,	PUNCT
ejpam-6783	72	17	u′	u′	PROPN
ejpam-6783	72	18	)	)	PUNCT
ejpam-6783	72	19	,	,	PUNCT
ejpam-6783	72	20	a	a	DET
ejpam-6783	72	21	contradiction	contradiction	NOUN
ejpam-6783	72	22	.	.	PUNCT
ejpam-6783	73	1	hence	hence	ADV
ejpam-6783	73	2	,	,	PUNCT
ejpam-6783	73	3	u	u	PROPN
ejpam-6783	73	4	=	=	SYM
ejpam-6783	73	5	u′.	u′.	NOUN
ejpam-6783	73	6	theorem	theorem	ADJ
ejpam-6783	73	7	2	2	NUM
ejpam-6783	73	8	(	(	PUNCT
ejpam-6783	73	9	non	non	ADJ
ejpam-6783	73	10	-	-	ADJ
ejpam-6783	73	11	archimedean	archimedean	ADJ
ejpam-6783	73	12	fuzzy	fuzzy	ADJ
ejpam-6783	73	13	measure	measure	NOUN
ejpam-6783	73	14	concentration	concentration	NOUN
ejpam-6783	73	15	)	)	PUNCT
ejpam-6783	73	16	.	.	PUNCT
ejpam-6783	74	1	let	let	VERB
ejpam-6783	74	2	(	(	PUNCT
ejpam-6783	74	3	x	x	X
ejpam-6783	74	4	,	,	PUNCT
ejpam-6783	74	5	m	m	NOUN
ejpam-6783	74	6	,	,	PUNCT
ejpam-6783	74	7	r	r	NOUN
ejpam-6783	74	8	)	)	PUNCT
ejpam-6783	74	9	be	be	AUX
ejpam-6783	74	10	a	a	DET
ejpam-6783	74	11	compact	compact	ADJ
ejpam-6783	74	12	mr	mr	ADJ
ejpam-6783	74	13	-	-	PUNCT
ejpam-6783	74	14	metric	metric	ADJ
ejpam-6783	74	15	space	space	NOUN
ejpam-6783	74	16	and	and	CCONJ
ejpam-6783	74	17	µ	µ	DET
ejpam-6783	74	18	a	a	DET
ejpam-6783	74	19	probability	probability	NOUN
ejpam-6783	74	20	measure	measure	NOUN
ejpam-6783	74	21	.	.	PUNCT
ejpam-6783	75	1	if	if	SCONJ
ejpam-6783	75	2	{	{	PUNCT
ejpam-6783	75	3	ẽn	ẽn	NOUN
ejpam-6783	75	4	}	}	PUNCT
ejpam-6783	75	5	is	be	AUX
ejpam-6783	75	6	a	a	DET
ejpam-6783	75	7	sequence	sequence	NOUN
ejpam-6783	75	8	of	of	ADP
ejpam-6783	75	9	fuzzy	fuzzy	ADJ
ejpam-6783	75	10	µ-measurable	µ-measurable	ADJ
ejpam-6783	75	11	sets	set	NOUN
ejpam-6783	75	12	with	with	ADP
ejpam-6783	75	13	:	:	PUNCT
ejpam-6783	75	14	lim	lim	PROPN
ejpam-6783	75	15	inf	inf	PROPN
ejpam-6783	75	16	n→∞	n→∞	X
ejpam-6783	75	17	µẽn	µẽn	PROPN
ejpam-6783	75	18	(	(	PUNCT
ejpam-6783	75	19	x	x	X
ejpam-6783	75	20	)	)	PUNCT
ejpam-6783	75	21	≥	≥	NUM
ejpam-6783	75	22	δ	δ	X
ejpam-6783	75	23	>	>	X
ejpam-6783	75	24	0	0	PUNCT
ejpam-6783	76	1	µ-a.e	µ-a.e	NOUN
ejpam-6783	76	2	.	.	PROPN
ejpam-6783	76	3	,	,	PUNCT
ejpam-6783	76	4	then	then	ADV
ejpam-6783	76	5	there	there	PRON
ejpam-6783	76	6	exists	exist	VERB
ejpam-6783	76	7	a	a	DET
ejpam-6783	76	8	subsequence	subsequence	NOUN
ejpam-6783	76	9	{	{	PUNCT
ejpam-6783	76	10	ẽnk	ẽnk	NOUN
ejpam-6783	76	11	}	}	PUNCT
ejpam-6783	76	12	and	and	CCONJ
ejpam-6783	76	13	a	a	DET
ejpam-6783	76	14	fuzzy	fuzzy	ADJ
ejpam-6783	76	15	point	point	NOUN
ejpam-6783	76	16	p̃	p̃	PROPN
ejpam-6783	76	17	such	such	ADJ
ejpam-6783	76	18	that	that	SCONJ
ejpam-6783	76	19	:	:	PUNCT
ejpam-6783	76	20	µ	µ	X
ejpam-6783	76	21	(	(	PUNCT
ejpam-6783	76	22	{	{	PUNCT
ejpam-6783	76	23	x	x	SYM
ejpam-6783	76	24	∈	∈	PROPN
ejpam-6783	76	25	x	x	SYM
ejpam-6783	76	26	|m(x	|m(x	PROPN
ejpam-6783	76	27	,	,	PUNCT
ejpam-6783	76	28	x	x	NOUN
ejpam-6783	76	29	,	,	PUNCT
ejpam-6783	76	30	p̃	p̃	PROPN
ejpam-6783	76	31	)	)	PUNCT
ejpam-6783	76	32	<	<	X
ejpam-6783	76	33	ϵ	ϵ	X
ejpam-6783	76	34	}	}	PUNCT
ejpam-6783	76	35	)	)	PUNCT
ejpam-6783	76	36	≥	≥	NOUN
ejpam-6783	76	37	1−	1−	NUM
ejpam-6783	76	38	r	r	NOUN
ejpam-6783	76	39	δ	δ	NOUN
ejpam-6783	76	40	ϵ	ϵ	X
ejpam-6783	76	41	∀ϵ	∀ϵ	PROPN
ejpam-6783	76	42	>	>	X
ejpam-6783	76	43	0	0	X
ejpam-6783	76	44	.	.	PUNCT
ejpam-6783	77	1	proof	proof	NOUN
ejpam-6783	77	2	.	.	PUNCT
ejpam-6783	78	1	step	step	NOUN
ejpam-6783	78	2	1	1	NUM
ejpam-6783	78	3	:	:	PUNCT
ejpam-6783	78	4	construct	construct	VERB
ejpam-6783	78	5	a	a	DET
ejpam-6783	78	6	candidate	candidate	NOUN
ejpam-6783	78	7	fuzzy	fuzzy	ADJ
ejpam-6783	78	8	point	point	NOUN
ejpam-6783	78	9	.	.	PUNCT
ejpam-6783	79	1	by	by	ADP
ejpam-6783	79	2	compactness	compactness	NOUN
ejpam-6783	79	3	and	and	CCONJ
ejpam-6783	79	4	fatou	fatou	NOUN
ejpam-6783	79	5	’s	’s	PART
ejpam-6783	79	6	lemma	lemma	PROPN
ejpam-6783	79	7	,	,	PUNCT
ejpam-6783	79	8	there	there	PRON
ejpam-6783	79	9	exists	exist	VERB
ejpam-6783	79	10	a	a	DET
ejpam-6783	79	11	fuzzy	fuzzy	ADJ
ejpam-6783	79	12	point	point	NOUN
ejpam-6783	79	13	p̃	p̃	PROPN
ejpam-6783	79	14	with	with	ADP
ejpam-6783	79	15	:	:	PUNCT
ejpam-6783	79	16	µp̃(x	µp̃(x	X
ejpam-6783	79	17	)	)	PUNCT
ejpam-6783	79	18	=	=	SYM
ejpam-6783	79	19	lim	lim	PROPN
ejpam-6783	79	20	inf	inf	PROPN
ejpam-6783	79	21	n→∞	n→∞	X
ejpam-6783	79	22	µẽn	µẽn	PROPN
ejpam-6783	79	23	(	(	PUNCT
ejpam-6783	79	24	x	x	X
ejpam-6783	79	25	)	)	PUNCT
ejpam-6783	79	26	≥	≥	NOUN
ejpam-6783	79	27	δ	δ	PROPN
ejpam-6783	79	28	µ-a.e	µ-a.e	PROPN
ejpam-6783	79	29	.	.	PUNCT
ejpam-6783	80	1	step	step	NOUN
ejpam-6783	80	2	2	2	NUM
ejpam-6783	80	3	:	:	PUNCT
ejpam-6783	80	4	measure	measure	VERB
ejpam-6783	80	5	concentration	concentration	NOUN
ejpam-6783	80	6	via	via	ADP
ejpam-6783	80	7	mr	mr	PROPN
ejpam-6783	80	8	-	-	PUNCT
ejpam-6783	80	9	metric	metric	NOUN
ejpam-6783	80	10	.	.	PUNCT
ejpam-6783	81	1	for	for	ADP
ejpam-6783	81	2	ϵ	ϵ	PROPN
ejpam-6783	81	3	>	>	X
ejpam-6783	81	4	0	0	NUM
ejpam-6783	81	5	,	,	PUNCT
ejpam-6783	81	6	define	define	VERB
ejpam-6783	81	7	aϵ	aϵ	ADP
ejpam-6783	81	8	=	=	PUNCT
ejpam-6783	81	9	{	{	PUNCT
ejpam-6783	81	10	x	x	X
ejpam-6783	81	11	|	|	ADV
ejpam-6783	81	12	m(x	m(x	PROPN
ejpam-6783	81	13	,	,	PUNCT
ejpam-6783	81	14	x	x	NOUN
ejpam-6783	81	15	,	,	PUNCT
ejpam-6783	81	16	p̃	p̃	PROPN
ejpam-6783	81	17	)	)	PUNCT
ejpam-6783	81	18	≥	≥	NOUN
ejpam-6783	81	19	ϵ	ϵ	NOUN
ejpam-6783	81	20	}	}	PUNCT
ejpam-6783	81	21	.	.	PUNCT
ejpam-6783	82	1	if	if	SCONJ
ejpam-6783	82	2	µ(aϵ	µ(aϵ	NUM
ejpam-6783	82	3	)	)	PUNCT
ejpam-6783	82	4	>	>	PUNCT
ejpam-6783	82	5	r	r	NOUN
ejpam-6783	82	6	δ	δ	PROPN
ejpam-6783	82	7	ϵ	ϵ	NOUN
ejpam-6783	82	8	,	,	PUNCT
ejpam-6783	82	9	then:∫	then:∫	PROPN
ejpam-6783	82	10	aϵ	aϵ	ADV
ejpam-6783	82	11	µp̃(x	µp̃(x	NOUN
ejpam-6783	82	12	)	)	PUNCT
ejpam-6783	82	13	dµ	dµ	ADP
ejpam-6783	82	14	>	>	X
ejpam-6783	82	15	rϵ	rϵ	NOUN
ejpam-6783	82	16	,	,	PUNCT
ejpam-6783	82	17	but	but	CCONJ
ejpam-6783	82	18	the	the	DET
ejpam-6783	82	19	mr	mr	PROPN
ejpam-6783	82	20	-	-	PUNCT
ejpam-6783	82	21	metric	metric	ADJ
ejpam-6783	82	22	inequality	inequality	NOUN
ejpam-6783	82	23	implies:∫	implies:∫	NOUN
ejpam-6783	82	24	aϵ	aϵ	ADP
ejpam-6783	82	25	m(x	m(x	PROPN
ejpam-6783	82	26	,	,	PUNCT
ejpam-6783	82	27	x	x	NOUN
ejpam-6783	82	28	,	,	PUNCT
ejpam-6783	82	29	p̃	p̃	PROPN
ejpam-6783	82	30	)	)	PUNCT
ejpam-6783	82	31	dµ	dµ	VERB
ejpam-6783	82	32	>	>	PUNCT
ejpam-6783	82	33	r	r	NOUN
ejpam-6783	82	34	δ	δ	PROPN
ejpam-6783	82	35	ϵ2	ϵ2	PROPN
ejpam-6783	82	36	,	,	PUNCT
ejpam-6783	82	37	a	a	DET
ejpam-6783	82	38	contradiction	contradiction	NOUN
ejpam-6783	82	39	since	since	SCONJ
ejpam-6783	82	40	m	m	PROPN
ejpam-6783	82	41	is	be	AUX
ejpam-6783	82	42	integrable	integrable	ADJ
ejpam-6783	82	43	.	.	PUNCT
ejpam-6783	83	1	step	step	NOUN
ejpam-6783	83	2	3	3	NUM
ejpam-6783	83	3	:	:	PUNCT
ejpam-6783	83	4	subsequence	subsequence	NOUN
ejpam-6783	83	5	selection	selection	NOUN
ejpam-6783	83	6	.	.	PUNCT
ejpam-6783	84	1	using	use	VERB
ejpam-6783	84	2	vitali	vitali	PROPN
ejpam-6783	84	3	covering	covering	NOUN
ejpam-6783	84	4	,	,	PUNCT
ejpam-6783	84	5	extract	extract	VERB
ejpam-6783	84	6	{	{	PUNCT
ejpam-6783	84	7	ẽnk	ẽnk	NOUN
ejpam-6783	84	8	}	}	PUNCT
ejpam-6783	84	9	such	such	ADJ
ejpam-6783	84	10	that	that	SCONJ
ejpam-6783	84	11	:	:	PUNCT
ejpam-6783	84	12	µ	µ	X
ejpam-6783	84	13	(	(	PUNCT
ejpam-6783	84	14	n⋃	n⋃	PROPN
ejpam-6783	84	15	k=1	k=1	PRON
ejpam-6783	84	16	{	{	PUNCT
ejpam-6783	85	1	x	x	X
ejpam-6783	85	2	|	|	ADV
ejpam-6783	85	3	µẽnk	µẽnk	NOUN
ejpam-6783	85	4	(	(	PUNCT
ejpam-6783	85	5	x	x	X
ejpam-6783	85	6	)	)	PUNCT
ejpam-6783	85	7	≥	≥	NOUN
ejpam-6783	85	8	δ/2	δ/2	NOUN
ejpam-6783	85	9	}	}	PUNCT
ejpam-6783	85	10	)	)	PUNCT
ejpam-6783	85	11	≥	≥	NOUN
ejpam-6783	85	12	1−	1−	NUM
ejpam-6783	85	13	ϵ	ϵ	SYM
ejpam-6783	85	14	2	2	NUM
ejpam-6783	85	15	.	.	PUNCT
ejpam-6783	86	1	the	the	DET
ejpam-6783	86	2	result	result	NOUN
ejpam-6783	86	3	follows	follow	VERB
ejpam-6783	86	4	by	by	ADP
ejpam-6783	86	5	combining	combine	VERB
ejpam-6783	86	6	estimates	estimate	NOUN
ejpam-6783	86	7	.	.	PUNCT
ejpam-6783	87	1	a.	a.	PROPN
ejpam-6783	87	2	malkawi	malkawi	PROPN
ejpam-6783	87	3	,	,	PUNCT
ejpam-6783	87	4	a.	a.	PROPN
ejpam-6783	87	5	rabaiah	rabaiah	PROPN
ejpam-6783	87	6	/	/	SYM
ejpam-6783	87	7	eur	eur	PROPN
ejpam-6783	87	8	.	.	PUNCT
ejpam-6783	88	1	j.	j.	PROPN
ejpam-6783	88	2	pure	pure	PROPN
ejpam-6783	88	3	appl	appl	PROPN
ejpam-6783	88	4	.	.	PROPN
ejpam-6783	88	5	math	math	PROPN
ejpam-6783	88	6	,	,	PUNCT
ejpam-6783	88	7	18	18	NUM
ejpam-6783	88	8	(	(	PUNCT
ejpam-6783	88	9	4	4	NUM
ejpam-6783	88	10	)	)	PUNCT
ejpam-6783	88	11	(	(	PUNCT
ejpam-6783	88	12	2025	2025	NUM
ejpam-6783	88	13	)	)	PUNCT
ejpam-6783	88	14	,	,	PUNCT
ejpam-6783	88	15	6783	6783	NUM
ejpam-6783	88	16	5	5	NUM
ejpam-6783	88	17	of	of	ADP
ejpam-6783	88	18	10	10	NUM
ejpam-6783	88	19	theorem	theorem	ADJ
ejpam-6783	88	20	3	3	NUM
ejpam-6783	88	21	(	(	PUNCT
ejpam-6783	88	22	mr	mr	ADJ
ejpam-6783	88	23	-	-	PUNCT
ejpam-6783	88	24	fuzzy	fuzzy	ADJ
ejpam-6783	88	25	radon	radon	PROPN
ejpam-6783	88	26	-	-	PUNCT
ejpam-6783	88	27	nikodym	nikodym	NOUN
ejpam-6783	88	28	theorem	theorem	PROPN
ejpam-6783	88	29	)	)	PUNCT
ejpam-6783	88	30	.	.	PUNCT
ejpam-6783	89	1	let	let	AUX
ejpam-6783	89	2	(	(	PUNCT
ejpam-6783	89	3	x	x	X
ejpam-6783	89	4	,	,	PUNCT
ejpam-6783	89	5	m	m	NOUN
ejpam-6783	89	6	,	,	PUNCT
ejpam-6783	89	7	r	r	NOUN
ejpam-6783	89	8	)	)	PUNCT
ejpam-6783	89	9	be	be	AUX
ejpam-6783	89	10	an	an	DET
ejpam-6783	89	11	mr	mr	ADJ
ejpam-6783	89	12	-	-	PUNCT
ejpam-6783	89	13	metric	metric	ADJ
ejpam-6783	89	14	space	space	NOUN
ejpam-6783	89	15	with	with	ADP
ejpam-6783	89	16	r	r	NOUN
ejpam-6783	89	17	>	>	X
ejpam-6783	89	18	1	1	NUM
ejpam-6783	89	19	,	,	PUNCT
ejpam-6783	89	20	and	and	CCONJ
ejpam-6783	89	21	let	let	VERB
ejpam-6783	89	22	µ	µ	NUM
ejpam-6783	89	23	,	,	PUNCT
ejpam-6783	89	24	ν	ν	X
ejpam-6783	89	25	be	be	AUX
ejpam-6783	89	26	σ	σ	NOUN
ejpam-6783	89	27	-	-	ADJ
ejpam-6783	89	28	finite	finite	ADJ
ejpam-6783	89	29	measures	measure	NOUN
ejpam-6783	89	30	on	on	ADP
ejpam-6783	89	31	x	x	SYM
ejpam-6783	89	32	such	such	ADJ
ejpam-6783	89	33	that	that	SCONJ
ejpam-6783	89	34	ν	ν	NOUN
ejpam-6783	89	35	≪	≪	VERB
ejpam-6783	89	36	µ.	µ.	NOUN
ejpam-6783	89	37	if	if	SCONJ
ejpam-6783	89	38	f̃	f̃	PROPN
ejpam-6783	89	39	:	:	PUNCT
ejpam-6783	89	40	x	x	SYM
ejpam-6783	89	41	→	→	SYM
ejpam-6783	89	42	l1(µ	l1(µ	X
ejpam-6783	89	43	)	)	PUNCT
ejpam-6783	89	44	is	be	AUX
ejpam-6783	89	45	a	a	DET
ejpam-6783	89	46	fuzzy	fuzzy	ADJ
ejpam-6783	89	47	measurable	measurable	ADJ
ejpam-6783	89	48	function	function	NOUN
ejpam-6783	89	49	,	,	PUNCT
ejpam-6783	89	50	then	then	ADV
ejpam-6783	89	51	there	there	PRON
ejpam-6783	89	52	exists	exist	VERB
ejpam-6783	89	53	a	a	DET
ejpam-6783	89	54	fuzzy	fuzzy	ADJ
ejpam-6783	89	55	derivative	derivative	NOUN
ejpam-6783	89	56	dν	dν	NOUN
ejpam-6783	89	57	dµ	dµ	PROPN
ejpam-6783	89	58	(	(	PUNCT
ejpam-6783	89	59	a	a	DET
ejpam-6783	89	60	fuzzy	fuzzy	ADJ
ejpam-6783	89	61	set	set	NOUN
ejpam-6783	89	62	)	)	PUNCT
ejpam-6783	89	63	such	such	ADJ
ejpam-6783	89	64	that	that	SCONJ
ejpam-6783	89	65	:	:	PUNCT
ejpam-6783	89	66	ν(ẽ	ν(ẽ	X
ejpam-6783	89	67	)	)	PUNCT
ejpam-6783	89	68	=	=	SYM
ejpam-6783	90	1	∫	∫	PROPN
ejpam-6783	90	2	ẽ	ẽ	PROPN
ejpam-6783	90	3	f̃(x	f̃(x	PROPN
ejpam-6783	90	4	)	)	PUNCT
ejpam-6783	90	5	dµ(x	dµ(x	PUNCT
ejpam-6783	90	6	)	)	PUNCT
ejpam-6783	90	7	,	,	PUNCT
ejpam-6783	90	8	∀ẽ	∀ẽ	PROPN
ejpam-6783	90	9	∈	∈	PROPN
ejpam-6783	90	10	b(x	b(x	NOUN
ejpam-6783	90	11	)	)	PUNCT
ejpam-6783	90	12	,	,	PUNCT
ejpam-6783	90	13	where	where	SCONJ
ejpam-6783	90	14	the	the	DET
ejpam-6783	90	15	integral	integral	ADJ
ejpam-6783	90	16	is	be	AUX
ejpam-6783	90	17	taken	take	VERB
ejpam-6783	90	18	in	in	ADP
ejpam-6783	90	19	the	the	DET
ejpam-6783	90	20	puri	puri	PROPN
ejpam-6783	90	21	-	-	PUNCT
ejpam-6783	90	22	ralescu	ralescu	NOUN
ejpam-6783	90	23	fuzzy	fuzzy	ADJ
ejpam-6783	90	24	sense	sense	NOUN
ejpam-6783	90	25	.	.	PUNCT
ejpam-6783	91	1	proof	proof	NOUN
ejpam-6783	91	2	.	.	PUNCT
ejpam-6783	92	1	since	since	SCONJ
ejpam-6783	92	2	ν	ν	NOUN
ejpam-6783	92	3	≪	≪	X
ejpam-6783	92	4	µ	µ	NOUN
ejpam-6783	92	5	and	and	CCONJ
ejpam-6783	92	6	both	both	DET
ejpam-6783	92	7	µ	µ	NOUN
ejpam-6783	92	8	and	and	CCONJ
ejpam-6783	92	9	ν	ν	PROPN
ejpam-6783	92	10	are	be	AUX
ejpam-6783	92	11	σ	σ	NOUN
ejpam-6783	92	12	-	-	NOUN
ejpam-6783	92	13	finite	finite	PROPN
ejpam-6783	92	14	,	,	PUNCT
ejpam-6783	92	15	the	the	DET
ejpam-6783	92	16	classical	classical	ADJ
ejpam-6783	92	17	radon	radon	PROPN
ejpam-6783	92	18	-	-	PUNCT
ejpam-6783	92	19	nikodym	nikodym	PROPN
ejpam-6783	92	20	theorem	theorem	NOUN
ejpam-6783	92	21	guarantees	guarantee	VERB
ejpam-6783	92	22	the	the	DET
ejpam-6783	92	23	existence	existence	NOUN
ejpam-6783	92	24	of	of	ADP
ejpam-6783	92	25	a	a	DET
ejpam-6783	92	26	measurable	measurable	ADJ
ejpam-6783	92	27	function	function	NOUN
ejpam-6783	92	28	f	f	PROPN
ejpam-6783	92	29	∈	∈	PROPN
ejpam-6783	92	30	l1(µ	l1(µ	AUX
ejpam-6783	92	31	)	)	PUNCT
ejpam-6783	92	32	such	such	ADJ
ejpam-6783	92	33	that	that	SCONJ
ejpam-6783	92	34	ν(e	ν(e	PROPN
ejpam-6783	92	35	)	)	PUNCT
ejpam-6783	92	36	=	=	SYM
ejpam-6783	93	1	∫	∫	PROPN
ejpam-6783	93	2	e	e	PROPN
ejpam-6783	93	3	f(x	f(x	PROPN
ejpam-6783	93	4	)	)	PUNCT
ejpam-6783	93	5	dµ(x	dµ(x	PUNCT
ejpam-6783	93	6	)	)	PUNCT
ejpam-6783	93	7	,	,	PUNCT
ejpam-6783	93	8	∀e	∀e	PROPN
ejpam-6783	93	9	∈	∈	PROPN
ejpam-6783	93	10	b(x	b(x	NOUN
ejpam-6783	93	11	)	)	PUNCT
ejpam-6783	93	12	.	.	PUNCT
ejpam-6783	94	1	to	to	PART
ejpam-6783	94	2	extend	extend	VERB
ejpam-6783	94	3	this	this	DET
ejpam-6783	94	4	result	result	NOUN
ejpam-6783	94	5	to	to	ADP
ejpam-6783	94	6	the	the	DET
ejpam-6783	94	7	fuzzy	fuzzy	ADJ
ejpam-6783	94	8	setting	setting	NOUN
ejpam-6783	94	9	,	,	PUNCT
ejpam-6783	94	10	consider	consider	VERB
ejpam-6783	94	11	the	the	DET
ejpam-6783	94	12	fuzzy	fuzzy	ADJ
ejpam-6783	94	13	measurable	measurable	ADJ
ejpam-6783	94	14	function	function	NOUN
ejpam-6783	94	15	f̃	f̃	PROPN
ejpam-6783	94	16	:	:	PUNCT
ejpam-6783	94	17	x	x	X
ejpam-6783	94	18	→	→	SYM
ejpam-6783	94	19	l1(µ	l1(µ	X
ejpam-6783	94	20	)	)	PUNCT
ejpam-6783	94	21	and	and	CCONJ
ejpam-6783	94	22	,	,	PUNCT
ejpam-6783	94	23	for	for	ADP
ejpam-6783	94	24	each	each	DET
ejpam-6783	94	25	α	α	NOUN
ejpam-6783	94	26	∈	∈	PROPN
ejpam-6783	94	27	(	(	PUNCT
ejpam-6783	94	28	0	0	NUM
ejpam-6783	94	29	,	,	PUNCT
ejpam-6783	94	30	1	1	NUM
ejpam-6783	94	31	]	]	PUNCT
ejpam-6783	94	32	,	,	PUNCT
ejpam-6783	94	33	define	define	VERB
ejpam-6783	94	34	the	the	DET
ejpam-6783	94	35	α	α	NOUN
ejpam-6783	94	36	-	-	NOUN
ejpam-6783	94	37	cut	cut	NOUN
ejpam-6783	94	38	of	of	ADP
ejpam-6783	94	39	f̃	f̃	PROPN
ejpam-6783	94	40	as	as	ADP
ejpam-6783	94	41	[	[	X
ejpam-6783	94	42	f̃	f̃	PROPN
ejpam-6783	94	43	]	]	PUNCT
ejpam-6783	94	44	α	α	NOUN
ejpam-6783	94	45	=	=	SYM
ejpam-6783	94	46	{	{	PUNCT
ejpam-6783	94	47	x	x	PUNCT
ejpam-6783	94	48	∈	∈	NOUN
ejpam-6783	94	49	x	x	INTJ
ejpam-6783	94	50	|	|	ADV
ejpam-6783	94	51	µf̃	µf̃	NOUN
ejpam-6783	94	52	(	(	PUNCT
ejpam-6783	94	53	x	x	NOUN
ejpam-6783	94	54	)	)	PUNCT
ejpam-6783	94	55	≥	≥	NOUN
ejpam-6783	94	56	α	α	NOUN
ejpam-6783	94	57	}	}	PUNCT
ejpam-6783	94	58	.	.	PUNCT
ejpam-6783	95	1	each	each	DET
ejpam-6783	95	2	α	α	X
ejpam-6783	95	3	-	-	PUNCT
ejpam-6783	95	4	cut	cut	NOUN
ejpam-6783	95	5	is	be	AUX
ejpam-6783	95	6	a	a	DET
ejpam-6783	95	7	measurable	measurable	ADJ
ejpam-6783	95	8	subset	subset	NOUN
ejpam-6783	95	9	of	of	ADP
ejpam-6783	95	10	x	x	X
ejpam-6783	95	11	,	,	PUNCT
ejpam-6783	95	12	and	and	CCONJ
ejpam-6783	95	13	the	the	DET
ejpam-6783	95	14	family	family	NOUN
ejpam-6783	95	15	{	{	PUNCT
ejpam-6783	95	16	[	[	X
ejpam-6783	95	17	f̃	f̃	PROPN
ejpam-6783	95	18	]	]	X
ejpam-6783	95	19	α	α	NOUN
ejpam-6783	95	20	:	:	PUNCT
ejpam-6783	95	21	α	α	PROPN
ejpam-6783	95	22	∈	∈	PROPN
ejpam-6783	95	23	(	(	PUNCT
ejpam-6783	95	24	0	0	NUM
ejpam-6783	95	25	,	,	PUNCT
ejpam-6783	95	26	1	1	NUM
ejpam-6783	95	27	]	]	PUNCT
ejpam-6783	95	28	}	}	PUNCT
ejpam-6783	95	29	forms	form	VERB
ejpam-6783	95	30	a	a	DET
ejpam-6783	95	31	nested	nested	ADJ
ejpam-6783	95	32	decreasing	decrease	VERB
ejpam-6783	95	33	system	system	NOUN
ejpam-6783	95	34	.	.	PUNCT
ejpam-6783	96	1	using	use	VERB
ejpam-6783	96	2	these	these	DET
ejpam-6783	96	3	α	α	NOUN
ejpam-6783	96	4	-	-	NOUN
ejpam-6783	96	5	cuts	cut	NOUN
ejpam-6783	96	6	,	,	PUNCT
ejpam-6783	96	7	one	one	PRON
ejpam-6783	96	8	can	can	AUX
ejpam-6783	96	9	define	define	VERB
ejpam-6783	96	10	the	the	DET
ejpam-6783	96	11	fuzzy	fuzzy	ADJ
ejpam-6783	96	12	radon	radon	PROPN
ejpam-6783	96	13	-	-	PUNCT
ejpam-6783	96	14	nikodym	nikodym	PROPN
ejpam-6783	96	15	derivative	derivative	NOUN
ejpam-6783	96	16	dν	dν	VERB
ejpam-6783	96	17	dµ	dµ	PROPN
ejpam-6783	96	18	as	as	SCONJ
ejpam-6783	96	19	the	the	DET
ejpam-6783	96	20	fuzzy	fuzzy	ADJ
ejpam-6783	96	21	set	set	VERB
ejpam-6783	96	22	whose	whose	DET
ejpam-6783	96	23	α	α	NOUN
ejpam-6783	96	24	-	-	PUNCT
ejpam-6783	96	25	cuts	cut	NOUN
ejpam-6783	96	26	are	be	AUX
ejpam-6783	96	27	given	give	VERB
ejpam-6783	96	28	by	by	ADP
ejpam-6783	96	29	[	[	PUNCT
ejpam-6783	96	30	dν	dν	NOUN
ejpam-6783	96	31	dµ	dµ	X
ejpam-6783	96	32	]	]	PUNCT
ejpam-6783	96	33	α	α	X
ejpam-6783	96	34	=	=	SYM
ejpam-6783	96	35	{	{	PUNCT
ejpam-6783	96	36	∫	∫	PROPN
ejpam-6783	96	37	x	x	SYM
ejpam-6783	96	38	g(x	g(x	NOUN
ejpam-6783	96	39	)	)	PUNCT
ejpam-6783	96	40	dµ(x	dµ(x	PUNCT
ejpam-6783	96	41	)	)	PUNCT
ejpam-6783	96	42	∣∣∣∣	∣∣∣∣	NOUN
ejpam-6783	96	43	g	g	NOUN
ejpam-6783	96	44	∈	∈	PROPN
ejpam-6783	96	45	s([f̃	s([f̃	X
ejpam-6783	96	46	]	]	X
ejpam-6783	96	47	α	α	NOUN
ejpam-6783	96	48	)	)	PUNCT
ejpam-6783	96	49	}	}	PUNCT
ejpam-6783	96	50	,	,	PUNCT
ejpam-6783	96	51	α	α	PROPN
ejpam-6783	96	52	∈	∈	PROPN
ejpam-6783	96	53	(	(	PUNCT
ejpam-6783	96	54	0	0	NUM
ejpam-6783	96	55	,	,	PUNCT
ejpam-6783	96	56	1	1	NUM
ejpam-6783	96	57	]	]	PUNCT
ejpam-6783	96	58	,	,	PUNCT
ejpam-6783	96	59	where	where	SCONJ
ejpam-6783	96	60	s([f̃	s([f̃	PROPN
ejpam-6783	96	61	]	]	X
ejpam-6783	96	62	α	α	X
ejpam-6783	96	63	)	)	PUNCT
ejpam-6783	96	64	denotes	denote	VERB
ejpam-6783	96	65	the	the	DET
ejpam-6783	96	66	set	set	NOUN
ejpam-6783	96	67	of	of	ADP
ejpam-6783	96	68	all	all	DET
ejpam-6783	96	69	simple	simple	ADJ
ejpam-6783	96	70	measurable	measurable	ADJ
ejpam-6783	96	71	functions	function	NOUN
ejpam-6783	96	72	supported	support	VERB
ejpam-6783	96	73	on	on	ADP
ejpam-6783	96	74	[	[	X
ejpam-6783	96	75	f̃	f̃	PROPN
ejpam-6783	96	76	]	]	SYM
ejpam-6783	96	77	α	α	NUM
ejpam-6783	96	78	,	,	PUNCT
ejpam-6783	96	79	and	and	CCONJ
ejpam-6783	96	80	the	the	DET
ejpam-6783	96	81	overline	overline	NOUN
ejpam-6783	96	82	denotes	denote	VERB
ejpam-6783	96	83	the	the	DET
ejpam-6783	96	84	closure	closure	NOUN
ejpam-6783	96	85	in	in	ADP
ejpam-6783	96	86	the	the	DET
ejpam-6783	96	87	extended	extended	ADJ
ejpam-6783	96	88	real	real	ADJ
ejpam-6783	96	89	line	line	NOUN
ejpam-6783	96	90	.	.	PUNCT
ejpam-6783	97	1	given	give	VERB
ejpam-6783	97	2	a	a	DET
ejpam-6783	97	3	fuzzy	fuzzy	ADJ
ejpam-6783	97	4	measurable	measurable	NOUN
ejpam-6783	97	5	set	set	VERB
ejpam-6783	97	6	ẽ	ẽ	PROPN
ejpam-6783	97	7	,	,	PUNCT
ejpam-6783	97	8	its	its	PRON
ejpam-6783	97	9	measure	measure	NOUN
ejpam-6783	97	10	ν(ẽ	ν(ẽ	PROPN
ejpam-6783	97	11	)	)	PUNCT
ejpam-6783	97	12	is	be	AUX
ejpam-6783	97	13	obtained	obtain	VERB
ejpam-6783	97	14	using	use	VERB
ejpam-6783	97	15	the	the	DET
ejpam-6783	97	16	representation	representation	NOUN
ejpam-6783	97	17	theorem	theorem	VERB
ejpam-6783	97	18	for	for	ADP
ejpam-6783	97	19	fuzzy	fuzzy	ADJ
ejpam-6783	97	20	measures	measure	NOUN
ejpam-6783	97	21	in	in	ADP
ejpam-6783	97	22	terms	term	NOUN
ejpam-6783	97	23	of	of	ADP
ejpam-6783	97	24	α	α	NOUN
ejpam-6783	97	25	-	-	PUNCT
ejpam-6783	97	26	cuts	cut	NOUN
ejpam-6783	97	27	:	:	PUNCT
ejpam-6783	97	28	ν(ẽ	ν(ẽ	X
ejpam-6783	97	29	)	)	PUNCT
ejpam-6783	98	1	=	=	SYM
ejpam-6783	98	2	∫	∫	PROPN
ejpam-6783	98	3	1	1	NUM
ejpam-6783	98	4	0	0	NUM
ejpam-6783	98	5	ν([ẽ]α	ν([ẽ]α	PROPN
ejpam-6783	98	6	)	)	PUNCT
ejpam-6783	98	7	dα	dα	NOUN
ejpam-6783	98	8	.	.	PUNCT
ejpam-6783	99	1	applying	apply	VERB
ejpam-6783	99	2	the	the	DET
ejpam-6783	99	3	classical	classical	ADJ
ejpam-6783	99	4	radon	radon	PROPN
ejpam-6783	99	5	-	-	PUNCT
ejpam-6783	99	6	nikodym	nikodym	PROPN
ejpam-6783	99	7	relation	relation	NOUN
ejpam-6783	99	8	to	to	ADP
ejpam-6783	99	9	each	each	DET
ejpam-6783	99	10	crisp	crisp	ADJ
ejpam-6783	99	11	α	α	NOUN
ejpam-6783	99	12	-	-	NOUN
ejpam-6783	99	13	cut	cut	NOUN
ejpam-6783	99	14	[	[	X
ejpam-6783	99	15	ẽ]α	ẽ]α	NOUN
ejpam-6783	99	16	yields	yield	NOUN
ejpam-6783	99	17	ν([ẽ]α	ν([ẽ]α	NOUN
ejpam-6783	99	18	)	)	PUNCT
ejpam-6783	99	19	=	=	SYM
ejpam-6783	100	1	∫	∫	PROPN
ejpam-6783	101	1	[	[	X
ejpam-6783	101	2	ẽ]α	ẽ]α	VERB
ejpam-6783	101	3	f(x	f(x	PROPN
ejpam-6783	101	4	)	)	PUNCT
ejpam-6783	101	5	dµ(x	dµ(x	PUNCT
ejpam-6783	101	6	)	)	PUNCT
ejpam-6783	101	7	.	.	PUNCT
ejpam-6783	102	1	by	by	ADP
ejpam-6783	102	2	the	the	DET
ejpam-6783	102	3	tonelli	tonelli	NOUN
ejpam-6783	102	4	-	-	PUNCT
ejpam-6783	102	5	fubini	fubini	PROPN
ejpam-6783	102	6	theorem	theorem	NOUN
ejpam-6783	102	7	and	and	CCONJ
ejpam-6783	102	8	monotone	monotone	ADJ
ejpam-6783	102	9	convergence	convergence	NOUN
ejpam-6783	102	10	(	(	PUNCT
ejpam-6783	102	11	both	both	PRON
ejpam-6783	102	12	valid	valid	ADJ
ejpam-6783	102	13	due	due	ADP
ejpam-6783	102	14	to	to	ADP
ejpam-6783	102	15	σ	σ	NOUN
ejpam-6783	102	16	-	-	PUNCT
ejpam-6783	102	17	finiteness	finiteness	NOUN
ejpam-6783	102	18	and	and	CCONJ
ejpam-6783	102	19	the	the	DET
ejpam-6783	102	20	boundedness	boundedness	NOUN
ejpam-6783	102	21	of	of	ADP
ejpam-6783	102	22	membership	membership	NOUN
ejpam-6783	102	23	functions	function	NOUN
ejpam-6783	102	24	)	)	PUNCT
ejpam-6783	102	25	,	,	PUNCT
ejpam-6783	102	26	one	one	PRON
ejpam-6783	102	27	obtains	obtain	VERB
ejpam-6783	102	28	the	the	DET
ejpam-6783	102	29	fuzzy	fuzzy	ADJ
ejpam-6783	102	30	integral	integral	ADJ
ejpam-6783	102	31	representation	representation	NOUN
ejpam-6783	102	32	:	:	PUNCT
ejpam-6783	102	33	ν(ẽ	ν(ẽ	X
ejpam-6783	102	34	)	)	PUNCT
ejpam-6783	103	1	=	=	SYM
ejpam-6783	103	2	∫	∫	PROPN
ejpam-6783	104	1	1	1	NUM
ejpam-6783	104	2	0	0	NUM
ejpam-6783	104	3	(	(	PUNCT
ejpam-6783	104	4	∫	∫	PROPN
ejpam-6783	105	1	[	[	X
ejpam-6783	105	2	ẽ]α	ẽ]α	VERB
ejpam-6783	105	3	f(x	f(x	PROPN
ejpam-6783	105	4	)	)	PUNCT
ejpam-6783	105	5	dµ(x	dµ(x	PUNCT
ejpam-6783	105	6	)	)	PUNCT
ejpam-6783	105	7	)	)	PUNCT
ejpam-6783	106	1	dα	dα	VERB
ejpam-6783	106	2	=	=	SYM
ejpam-6783	106	3	∫	∫	PROPN
ejpam-6783	106	4	x	x	X
ejpam-6783	106	5	f(x)µẽ(x	f(x)µẽ(x	NOUN
ejpam-6783	106	6	)	)	PUNCT
ejpam-6783	106	7	dµ(x	dµ(x	PUNCT
ejpam-6783	106	8	)	)	PUNCT
ejpam-6783	106	9	,	,	PUNCT
ejpam-6783	106	10	which	which	PRON
ejpam-6783	106	11	coincides	coincide	VERB
ejpam-6783	106	12	with	with	ADP
ejpam-6783	106	13	the	the	DET
ejpam-6783	106	14	puri	puri	PROPN
ejpam-6783	106	15	-	-	PUNCT
ejpam-6783	106	16	ralescu	ralescu	NOUN
ejpam-6783	106	17	fuzzy	fuzzy	ADJ
ejpam-6783	106	18	integral	integral	ADJ
ejpam-6783	106	19	of	of	ADP
ejpam-6783	106	20	f̃	f̃	PROPN
ejpam-6783	106	21	over	over	ADP
ejpam-6783	106	22	ẽ.	ẽ.	PROPN
ejpam-6783	106	23	a.	a.	NOUN
ejpam-6783	106	24	malkawi	malkawi	PROPN
ejpam-6783	106	25	,	,	PUNCT
ejpam-6783	106	26	a.	a.	PROPN
ejpam-6783	106	27	rabaiah	rabaiah	PROPN
ejpam-6783	106	28	/	/	SYM
ejpam-6783	106	29	eur	eur	PROPN
ejpam-6783	106	30	.	.	PUNCT
ejpam-6783	107	1	j.	j.	PROPN
ejpam-6783	107	2	pure	pure	PROPN
ejpam-6783	107	3	appl	appl	PROPN
ejpam-6783	107	4	.	.	PROPN
ejpam-6783	107	5	math	math	PROPN
ejpam-6783	107	6	,	,	PUNCT
ejpam-6783	107	7	18	18	NUM
ejpam-6783	107	8	(	(	PUNCT
ejpam-6783	107	9	4	4	NUM
ejpam-6783	107	10	)	)	PUNCT
ejpam-6783	107	11	(	(	PUNCT
ejpam-6783	107	12	2025	2025	NUM
ejpam-6783	107	13	)	)	PUNCT
ejpam-6783	107	14	,	,	PUNCT
ejpam-6783	107	15	6783	6783	NUM
ejpam-6783	107	16	6	6	NUM
ejpam-6783	107	17	of	of	ADP
ejpam-6783	107	18	10	10	NUM
ejpam-6783	107	19	to	to	PART
ejpam-6783	107	20	establish	establish	VERB
ejpam-6783	107	21	uniqueness	uniqueness	NOUN
ejpam-6783	107	22	,	,	PUNCT
ejpam-6783	107	23	suppose	suppose	VERB
ejpam-6783	107	24	there	there	PRON
ejpam-6783	107	25	exists	exist	VERB
ejpam-6783	107	26	another	another	DET
ejpam-6783	107	27	fuzzy	fuzzy	ADJ
ejpam-6783	107	28	derivative	derivative	NOUN
ejpam-6783	107	29	f̃	f̃	PROPN
ejpam-6783	107	30	′	′	NUM
ejpam-6783	107	31	satisfying	satisfy	VERB
ejpam-6783	107	32	the	the	DET
ejpam-6783	107	33	same	same	ADJ
ejpam-6783	107	34	property	property	NOUN
ejpam-6783	107	35	.	.	PUNCT
ejpam-6783	108	1	then	then	ADV
ejpam-6783	108	2	for	for	ADP
ejpam-6783	108	3	every	every	DET
ejpam-6783	108	4	ẽ	ẽ	PROPN
ejpam-6783	108	5	∈	∈	PROPN
ejpam-6783	108	6	b(x),∫	b(x),∫	NOUN
ejpam-6783	108	7	ẽ	ẽ	PROPN
ejpam-6783	108	8	f̃(x	f̃(x	PROPN
ejpam-6783	108	9	)	)	PUNCT
ejpam-6783	108	10	dµ(x	dµ(x	PUNCT
ejpam-6783	108	11	)	)	PUNCT
ejpam-6783	108	12	=	=	SYM
ejpam-6783	108	13	ν(ẽ	ν(ẽ	X
ejpam-6783	108	14	)	)	PUNCT
ejpam-6783	109	1	=	=	SYM
ejpam-6783	109	2	∫	∫	PROPN
ejpam-6783	110	1	ẽ	ẽ	PROPN
ejpam-6783	110	2	f̃	f̃	PROPN
ejpam-6783	110	3	′(x	′(x	PROPN
ejpam-6783	110	4	)	)	PUNCT
ejpam-6783	110	5	dµ(x	dµ(x	PUNCT
ejpam-6783	110	6	)	)	PUNCT
ejpam-6783	110	7	.	.	PUNCT
ejpam-6783	111	1	by	by	ADP
ejpam-6783	111	2	the	the	DET
ejpam-6783	111	3	fundamental	fundamental	ADJ
ejpam-6783	111	4	properties	property	NOUN
ejpam-6783	111	5	of	of	ADP
ejpam-6783	111	6	the	the	DET
ejpam-6783	111	7	puri	puri	PROPN
ejpam-6783	111	8	-	-	PUNCT
ejpam-6783	111	9	ralescu	ralescu	NOUN
ejpam-6783	111	10	integral	integral	ADJ
ejpam-6783	111	11	and	and	CCONJ
ejpam-6783	111	12	σ	σ	NOUN
ejpam-6783	111	13	-	-	PUNCT
ejpam-6783	111	14	finiteness	finiteness	NOUN
ejpam-6783	111	15	,	,	PUNCT
ejpam-6783	111	16	this	this	PRON
ejpam-6783	111	17	implies	imply	VERB
ejpam-6783	111	18	that	that	SCONJ
ejpam-6783	111	19	f̃	f̃	PROPN
ejpam-6783	111	20	=	=	SYM
ejpam-6783	111	21	f̃	f̃	PROPN
ejpam-6783	111	22	′	′	NUM
ejpam-6783	111	23	µ-almost	µ-almost	ADV
ejpam-6783	111	24	everywhere	everywhere	ADV
ejpam-6783	111	25	,	,	PUNCT
ejpam-6783	111	26	hence	hence	ADV
ejpam-6783	111	27	the	the	DET
ejpam-6783	111	28	derivative	derivative	NOUN
ejpam-6783	111	29	is	be	AUX
ejpam-6783	111	30	unique	unique	ADJ
ejpam-6783	111	31	up	up	ADP
ejpam-6783	111	32	to	to	ADP
ejpam-6783	111	33	µ-null	µ-null	NOUN
ejpam-6783	111	34	sets	set	NOUN
ejpam-6783	111	35	.	.	PUNCT
ejpam-6783	112	1	finally	finally	ADV
ejpam-6783	112	2	,	,	PUNCT
ejpam-6783	112	3	the	the	DET
ejpam-6783	112	4	mr	mr	PROPN
ejpam-6783	112	5	-	-	PUNCT
ejpam-6783	112	6	metricm	metricm	PROPN
ejpam-6783	112	7	guarantees	guarantee	VERB
ejpam-6783	112	8	that	that	SCONJ
ejpam-6783	112	9	the	the	DET
ejpam-6783	112	10	fuzzy	fuzzy	ADJ
ejpam-6783	112	11	integral	integral	NOUN
ejpam-6783	112	12	is	be	AUX
ejpam-6783	112	13	stable	stable	ADJ
ejpam-6783	112	14	with	with	ADP
ejpam-6783	112	15	respect	respect	NOUN
ejpam-6783	112	16	to	to	ADP
ejpam-6783	112	17	the	the	DET
ejpam-6783	112	18	fuzzy	fuzzy	ADJ
ejpam-6783	112	19	structure	structure	NOUN
ejpam-6783	112	20	.	.	PUNCT
ejpam-6783	113	1	specifically	specifically	ADV
ejpam-6783	113	2	,	,	PUNCT
ejpam-6783	113	3	the	the	DET
ejpam-6783	113	4	permutation	permutation	NOUN
ejpam-6783	113	5	invariance	invariance	NOUN
ejpam-6783	113	6	and	and	CCONJ
ejpam-6783	113	7	generalized	generalized	ADJ
ejpam-6783	113	8	tetrahedral	tetrahedral	ADJ
ejpam-6783	113	9	inequality	inequality	NOUN
ejpam-6783	113	10	inherent	inherent	ADJ
ejpam-6783	113	11	inm	inm	PROPN
ejpam-6783	113	12	ensure	ensure	VERB
ejpam-6783	113	13	that	that	SCONJ
ejpam-6783	113	14	the	the	DET
ejpam-6783	113	15	construction	construction	NOUN
ejpam-6783	113	16	of	of	ADP
ejpam-6783	113	17	dν	dν	PROPN
ejpam-6783	113	18	dµ	dµ	PROPN
ejpam-6783	113	19	respects	respect	VERB
ejpam-6783	113	20	the	the	DET
ejpam-6783	113	21	topology	topology	NOUN
ejpam-6783	113	22	induced	induce	VERB
ejpam-6783	113	23	by	by	ADP
ejpam-6783	113	24	m	m	PROPN
ejpam-6783	113	25	and	and	CCONJ
ejpam-6783	113	26	that	that	SCONJ
ejpam-6783	113	27	the	the	DET
ejpam-6783	113	28	integral	integral	NOUN
ejpam-6783	113	29	is	be	AUX
ejpam-6783	113	30	well	well	ADV
ejpam-6783	113	31	-	-	PUNCT
ejpam-6783	113	32	defined	define	VERB
ejpam-6783	113	33	on	on	ADP
ejpam-6783	113	34	equivalence	equivalence	NOUN
ejpam-6783	113	35	classes	class	NOUN
ejpam-6783	113	36	of	of	ADP
ejpam-6783	113	37	fuzzy	fuzzy	ADJ
ejpam-6783	113	38	measurable	measurable	ADJ
ejpam-6783	113	39	sets	set	NOUN
ejpam-6783	113	40	.	.	PUNCT
ejpam-6783	114	1	this	this	PRON
ejpam-6783	114	2	establishes	establish	VERB
ejpam-6783	114	3	the	the	DET
ejpam-6783	114	4	existence	existence	NOUN
ejpam-6783	114	5	and	and	CCONJ
ejpam-6783	114	6	uniqueness	uniqueness	NOUN
ejpam-6783	114	7	of	of	ADP
ejpam-6783	114	8	the	the	DET
ejpam-6783	114	9	mr	mr	PROPN
ejpam-6783	114	10	-	-	PUNCT
ejpam-6783	114	11	fuzzy	fuzzy	ADJ
ejpam-6783	114	12	radon	radon	PROPN
ejpam-6783	114	13	-	-	PUNCT
ejpam-6783	114	14	nikodym	nikodym	PROPN
ejpam-6783	114	15	derivative	derivative	NOUN
ejpam-6783	114	16	as	as	SCONJ
ejpam-6783	114	17	required	require	VERB
ejpam-6783	114	18	.	.	PUNCT
ejpam-6783	115	1	3	3	X
ejpam-6783	115	2	.	.	X
ejpam-6783	115	3	examples	example	NOUN
ejpam-6783	115	4	and	and	CCONJ
ejpam-6783	115	5	applications	application	NOUN
ejpam-6783	115	6	section	section	NOUN
ejpam-6783	115	7	3	3	NUM
ejpam-6783	115	8	demonstrates	demonstrate	VERB
ejpam-6783	115	9	the	the	DET
ejpam-6783	115	10	versatility	versatility	NOUN
ejpam-6783	115	11	of	of	ADP
ejpam-6783	115	12	mr	mr	NOUN
ejpam-6783	115	13	-	-	PUNCT
ejpam-6783	115	14	metrics	metric	NOUN
ejpam-6783	115	15	:	:	PUNCT
ejpam-6783	115	16	(	(	PUNCT
ejpam-6783	115	17	i	i	NOUN
ejpam-6783	115	18	)	)	PUNCT
ejpam-6783	115	19	medical	medical	ADJ
ejpam-6783	115	20	diagnosis	diagnosis	NOUN
ejpam-6783	115	21	:	:	PUNCT
ejpam-6783	115	22	fuzzy	fuzzy	ADJ
ejpam-6783	115	23	mappings	mapping	NOUN
ejpam-6783	115	24	f	f	PROPN
ejpam-6783	115	25	model	model	NOUN
ejpam-6783	115	26	symptom	symptom	NOUN
ejpam-6783	115	27	-	-	PUNCT
ejpam-6783	115	28	diagnosis	diagnosis	NOUN
ejpam-6783	115	29	relations	relation	NOUN
ejpam-6783	115	30	,	,	PUNCT
ejpam-6783	115	31	with	with	ADP
ejpam-6783	115	32	theorem	theorem	ADJ
ejpam-6783	115	33	1	1	NUM
ejpam-6783	115	34	guaranteeing	guarantee	VERB
ejpam-6783	115	35	unique	unique	ADJ
ejpam-6783	115	36	fuzzy	fuzzy	ADJ
ejpam-6783	115	37	fixed	fix	VERB
ejpam-6783	115	38	points	point	NOUN
ejpam-6783	115	39	(	(	PUNCT
ejpam-6783	115	40	e.g.	e.g.	ADV
ejpam-6783	115	41	,	,	PUNCT
ejpam-6783	115	42	covid-19	covid-19	PROPN
ejpam-6783	115	43	diagnosis	diagnosis	NOUN
ejpam-6783	115	44	)	)	PUNCT
ejpam-6783	115	45	.	.	PUNCT
ejpam-6783	116	1	(	(	PUNCT
ejpam-6783	116	2	ii	ii	NOUN
ejpam-6783	116	3	)	)	PUNCT
ejpam-6783	116	4	sensor	sensor	NOUN
ejpam-6783	116	5	networks	network	NOUN
ejpam-6783	116	6	:	:	PUNCT
ejpam-6783	116	7	theorem	theorem	VERB
ejpam-6783	116	8	2	2	NUM
ejpam-6783	116	9	localizes	localize	VERB
ejpam-6783	116	10	epicenters	epicenter	NOUN
ejpam-6783	116	11	in	in	ADP
ejpam-6783	116	12	[	[	X
ejpam-6783	116	13	0	0	NUM
ejpam-6783	116	14	,	,	PUNCT
ejpam-6783	116	15	1]3	1]3	NUM
ejpam-6783	116	16	with	with	ADP
ejpam-6783	116	17	r	r	NOUN
ejpam-6783	116	18	=	=	SYM
ejpam-6783	116	19	1.5	1.5	NUM
ejpam-6783	116	20	.	.	PUNCT
ejpam-6783	117	1	(	(	PUNCT
ejpam-6783	117	2	iii	iii	X
ejpam-6783	117	3	)	)	PUNCT
ejpam-6783	117	4	financial	financial	ADJ
ejpam-6783	117	5	risk	risk	NOUN
ejpam-6783	117	6	:	:	PUNCT
ejpam-6783	117	7	theorem	theorem	VERB
ejpam-6783	117	8	3	3	NUM
ejpam-6783	117	9	derives	derive	VERB
ejpam-6783	117	10	fuzzy	fuzzy	ADJ
ejpam-6783	117	11	cvar	cvar	NOUN
ejpam-6783	117	12	from	from	ADP
ejpam-6783	117	13	value	value	NOUN
ejpam-6783	117	14	-	-	PUNCT
ejpam-6783	117	15	at	at	ADP
ejpam-6783	117	16	-	-	PUNCT
ejpam-6783	117	17	risk	risk	NOUN
ejpam-6783	117	18	,	,	PUNCT
ejpam-6783	117	19	with	with	ADP
ejpam-6783	117	20	α	α	NOUN
ejpam-6783	117	21	-	-	PUNCT
ejpam-6783	117	22	cuts	cut	NOUN
ejpam-6783	117	23	encoding	encode	VERB
ejpam-6783	117	24	risk	risk	NOUN
ejpam-6783	117	25	thresholds	threshold	NOUN
ejpam-6783	117	26	.	.	PUNCT
ejpam-6783	118	1	these	these	DET
ejpam-6783	118	2	examples	example	NOUN
ejpam-6783	118	3	highlight	highlight	VERB
ejpam-6783	118	4	mr	mr	PROPN
ejpam-6783	118	5	-	-	PUNCT
ejpam-6783	118	6	metrics	metric	NOUN
ejpam-6783	118	7	’	'	PUNCT
ejpam-6783	118	8	role	role	NOUN
ejpam-6783	118	9	in	in	ADP
ejpam-6783	118	10	uncertainty	uncertainty	NOUN
ejpam-6783	118	11	quantification	quantification	NOUN
ejpam-6783	118	12	[	[	X
ejpam-6783	118	13	10	10	NUM
ejpam-6783	118	14	]	]	PUNCT
ejpam-6783	118	15	,	,	PUNCT
ejpam-6783	118	16	data	datum	NOUN
ejpam-6783	118	17	fusion	fusion	NOUN
ejpam-6783	118	18	,	,	PUNCT
ejpam-6783	118	19	and	and	CCONJ
ejpam-6783	118	20	fractional	fractional	ADJ
ejpam-6783	118	21	dynamics	dynamic	NOUN
ejpam-6783	118	22	.	.	PUNCT
ejpam-6783	119	1	example	example	NOUN
ejpam-6783	119	2	1	1	NUM
ejpam-6783	119	3	(	(	PUNCT
ejpam-6783	119	4	fuzzy	fuzzy	ADJ
ejpam-6783	119	5	medical	medical	ADJ
ejpam-6783	119	6	diagnosis	diagnosis	NOUN
ejpam-6783	119	7	)	)	PUNCT
ejpam-6783	119	8	.	.	PUNCT
ejpam-6783	120	1	let	let	VERB
ejpam-6783	120	2	x	x	PUNCT
ejpam-6783	120	3	=	=	PRON
ejpam-6783	120	4	{	{	PUNCT
ejpam-6783	120	5	symptom	symptom	NOUN
ejpam-6783	120	6	profiles	profile	NOUN
ejpam-6783	120	7	}	}	PUNCT
ejpam-6783	120	8	be	be	AUX
ejpam-6783	120	9	an	an	DET
ejpam-6783	120	10	mr	mr	ADJ
ejpam-6783	120	11	-	-	PUNCT
ejpam-6783	120	12	metric	metric	ADJ
ejpam-6783	120	13	space	space	NOUN
ejpam-6783	120	14	with	with	ADP
ejpam-6783	120	15	:	:	PUNCT
ejpam-6783	120	16	m(v	m(v	NUM
ejpam-6783	120	17	,	,	PUNCT
ejpam-6783	120	18	ξ	ξ	PROPN
ejpam-6783	120	19	,	,	PUNCT
ejpam-6783	120	20	s	s	PART
ejpam-6783	120	21	)	)	PUNCT
ejpam-6783	120	22	=	=	SYM
ejpam-6783	121	1	max	max	PROPN
ejpam-6783	122	1	i	i	PRON
ejpam-6783	122	2	|vi	|vi	NUM
ejpam-6783	122	3	−	−	PROPN
ejpam-6783	122	4	ξi|+	ξi|+	NOUN
ejpam-6783	122	5	|ξi	|ξi	NUM
ejpam-6783	122	6	−	−	PROPN
ejpam-6783	122	7	si|+	si|+	PROPN
ejpam-6783	122	8	|si	|si	NUM
ejpam-6783	122	9	−	−	PROPN
ejpam-6783	122	10	vi|	vi|	NOUN
ejpam-6783	122	11	,	,	PUNCT
ejpam-6783	122	12	r	r	NOUN
ejpam-6783	122	13	=	=	SYM
ejpam-6783	122	14	2	2	X
ejpam-6783	122	15	.	.	PUNCT
ejpam-6783	122	16	define	define	VERB
ejpam-6783	122	17	a	a	DET
ejpam-6783	122	18	fuzzy	fuzzy	ADJ
ejpam-6783	122	19	mapping	mapping	NOUN
ejpam-6783	122	20	f	f	NOUN
ejpam-6783	122	21	:	:	PUNCT
ejpam-6783	122	22	x	x	X
ejpam-6783	122	23	→	→	SYM
ejpam-6783	122	24	f(x	f(x	PROPN
ejpam-6783	122	25	)	)	PUNCT
ejpam-6783	122	26	where	where	SCONJ
ejpam-6783	122	27	f(v	f(v	NOUN
ejpam-6783	122	28	)	)	PUNCT
ejpam-6783	122	29	is	be	AUX
ejpam-6783	122	30	the	the	DET
ejpam-6783	122	31	fuzzy	fuzzy	ADJ
ejpam-6783	122	32	set	set	NOUN
ejpam-6783	122	33	of	of	ADP
ejpam-6783	122	34	possible	possible	ADJ
ejpam-6783	122	35	diagnoses	diagnosis	NOUN
ejpam-6783	122	36	for	for	ADP
ejpam-6783	122	37	symptoms	symptom	NOUN
ejpam-6783	123	1	v.	v.	ADP
ejpam-6783	123	2	if	if	SCONJ
ejpam-6783	123	3	:	:	PUNCT
ejpam-6783	123	4	hm	hm	INTJ
ejpam-6783	123	5	(	(	PUNCT
ejpam-6783	123	6	f(v),f(ξ	f(v),f(ξ	NOUN
ejpam-6783	123	7	)	)	PUNCT
ejpam-6783	123	8	)	)	PUNCT
ejpam-6783	123	9	≤	≤	ADV
ejpam-6783	123	10	0.4	0.4	NUM
ejpam-6783	123	11	∫	∫	NOUN
ejpam-6783	123	12	x	x	PROPN
ejpam-6783	123	13	m(v	m(v	PROPN
ejpam-6783	123	14	,	,	PUNCT
ejpam-6783	123	15	ξ	ξ	PROPN
ejpam-6783	123	16	,	,	PUNCT
ejpam-6783	123	17	s	s	NOUN
ejpam-6783	123	18	)	)	PUNCT
ejpam-6783	123	19	dµprior(s	dµprior(s	NOUN
ejpam-6783	123	20	)	)	PUNCT
ejpam-6783	123	21	,	,	PUNCT
ejpam-6783	123	22	then	then	ADV
ejpam-6783	124	1	theorem	theorem	VERB
ejpam-6783	124	2	1	1	NUM
ejpam-6783	124	3	guarantees	guarantee	VERB
ejpam-6783	124	4	a	a	DET
ejpam-6783	124	5	unique	unique	ADJ
ejpam-6783	124	6	fuzzy	fuzzy	ADJ
ejpam-6783	124	7	diagnosis	diagnosis	NOUN
ejpam-6783	124	8	ũ	ũ	PROPN
ejpam-6783	124	9	such	such	ADJ
ejpam-6783	124	10	that	that	SCONJ
ejpam-6783	124	11	:	:	PUNCT
ejpam-6783	124	12	µũ(covid	µũ(covid	X
ejpam-6783	124	13	)	)	PUNCT
ejpam-6783	125	1	=	=	SYM
ejpam-6783	125	2	sup	sup	NOUN
ejpam-6783	125	3	ξ	ξ	PROPN
ejpam-6783	125	4	µf(ξ)(covid	µf(ξ)(covid	PROPN
ejpam-6783	125	5	)	)	PUNCT
ejpam-6783	125	6	.	.	PUNCT
ejpam-6783	126	1	example	example	NOUN
ejpam-6783	126	2	2	2	NUM
ejpam-6783	126	3	(	(	PUNCT
ejpam-6783	126	4	sensor	sensor	NOUN
ejpam-6783	126	5	data	datum	NOUN
ejpam-6783	126	6	fusion	fusion	NOUN
ejpam-6783	126	7	)	)	PUNCT
ejpam-6783	126	8	.	.	PUNCT
ejpam-6783	127	1	let	let	VERB
ejpam-6783	127	2	x	x	PUNCT
ejpam-6783	127	3	=	=	PUNCT
ejpam-6783	128	1	[	[	X
ejpam-6783	128	2	0	0	NUM
ejpam-6783	128	3	,	,	PUNCT
ejpam-6783	128	4	1]3	1]3	NUM
ejpam-6783	128	5	(	(	PUNCT
ejpam-6783	128	6	sensor	sensor	NOUN
ejpam-6783	128	7	positions	position	NOUN
ejpam-6783	128	8	)	)	PUNCT
ejpam-6783	128	9	with	with	ADP
ejpam-6783	128	10	mr	mr	PROPN
ejpam-6783	128	11	-	-	PUNCT
ejpam-6783	128	12	metric	metric	ADJ
ejpam-6783	128	13	:	:	PUNCT
ejpam-6783	128	14	m(x	m(x	PROPN
ejpam-6783	128	15	,	,	PUNCT
ejpam-6783	128	16	y	y	PROPN
ejpam-6783	128	17	,	,	PUNCT
ejpam-6783	128	18	z	z	NOUN
ejpam-6783	128	19	)	)	PUNCT
ejpam-6783	128	20	=	=	SYM
ejpam-6783	129	1	∥x−	∥x−	PROPN
ejpam-6783	129	2	y∥+	y∥+	PROPN
ejpam-6783	129	3	∥y	∥y	PROPN
ejpam-6783	129	4	−	−	PROPN
ejpam-6783	129	5	z∥+	z∥+	NOUN
ejpam-6783	129	6	∥z	∥z	PROPN
ejpam-6783	129	7	−	−	PROPN
ejpam-6783	129	8	x∥	x∥	PROPN
ejpam-6783	129	9	,	,	PUNCT
ejpam-6783	130	1	r	r	NOUN
ejpam-6783	130	2	=	=	SYM
ejpam-6783	130	3	1.5	1.5	NUM
ejpam-6783	130	4	.	.	PUNCT
ejpam-6783	130	5	a.	a.	NOUN
ejpam-6783	130	6	malkawi	malkawi	PROPN
ejpam-6783	130	7	,	,	PUNCT
ejpam-6783	130	8	a.	a.	PROPN
ejpam-6783	130	9	rabaiah	rabaiah	PROPN
ejpam-6783	130	10	/	/	SYM
ejpam-6783	130	11	eur	eur	PROPN
ejpam-6783	130	12	.	.	PUNCT
ejpam-6783	131	1	j.	j.	PROPN
ejpam-6783	131	2	pure	pure	PROPN
ejpam-6783	131	3	appl	appl	PROPN
ejpam-6783	131	4	.	.	PROPN
ejpam-6783	131	5	math	math	PROPN
ejpam-6783	131	6	,	,	PUNCT
ejpam-6783	131	7	18	18	NUM
ejpam-6783	131	8	(	(	PUNCT
ejpam-6783	131	9	4	4	NUM
ejpam-6783	131	10	)	)	PUNCT
ejpam-6783	131	11	(	(	PUNCT
ejpam-6783	131	12	2025	2025	NUM
ejpam-6783	131	13	)	)	PUNCT
ejpam-6783	131	14	,	,	PUNCT
ejpam-6783	131	15	6783	6783	NUM
ejpam-6783	131	16	7	7	NUM
ejpam-6783	131	17	of	of	ADP
ejpam-6783	131	18	10	10	NUM
ejpam-6783	131	19	for	for	ADP
ejpam-6783	131	20	fuzzy	fuzzy	ADJ
ejpam-6783	131	21	sensor	sensor	NOUN
ejpam-6783	131	22	sets	set	NOUN
ejpam-6783	131	23	{	{	PUNCT
ejpam-6783	131	24	ẽn	ẽn	NOUN
ejpam-6783	131	25	}	}	PUNCT
ejpam-6783	131	26	with	with	ADP
ejpam-6783	131	27	lim	lim	PROPN
ejpam-6783	131	28	inf	inf	PROPN
ejpam-6783	131	29	µẽn	µẽn	PROPN
ejpam-6783	131	30	≥	≥	NUM
ejpam-6783	131	31	0.7	0.7	NUM
ejpam-6783	131	32	,	,	PUNCT
ejpam-6783	131	33	theorem	theorem	VERB
ejpam-6783	131	34	2	2	NUM
ejpam-6783	131	35	yields	yield	NOUN
ejpam-6783	131	36	a	a	DET
ejpam-6783	131	37	fuzzy	fuzzy	ADJ
ejpam-6783	131	38	epicenter	epicenter	NOUN
ejpam-6783	131	39	p̃	p̃	PROPN
ejpam-6783	131	40	satisfying	satisfying	NOUN
ejpam-6783	131	41	:	:	PUNCT
ejpam-6783	131	42	µ({x	µ({x	PROPN
ejpam-6783	131	43	|m(x	|m(x	PROPN
ejpam-6783	131	44	,	,	PUNCT
ejpam-6783	131	45	x	x	NOUN
ejpam-6783	131	46	,	,	PUNCT
ejpam-6783	131	47	p̃	p̃	PROPN
ejpam-6783	131	48	)	)	PUNCT
ejpam-6783	131	49	<	<	X
ejpam-6783	131	50	0.1	0.1	NUM
ejpam-6783	131	51	}	}	PUNCT
ejpam-6783	131	52	)	)	PUNCT
ejpam-6783	131	53	≥	≥	NOUN
ejpam-6783	131	54	0.85	0.85	NUM
ejpam-6783	131	55	.	.	PUNCT
ejpam-6783	132	1	example	example	NOUN
ejpam-6783	132	2	3	3	NUM
ejpam-6783	132	3	(	(	PUNCT
ejpam-6783	132	4	financial	financial	ADJ
ejpam-6783	132	5	risk	risk	NOUN
ejpam-6783	132	6	)	)	PUNCT
ejpam-6783	132	7	.	.	PUNCT
ejpam-6783	133	1	let	let	VERB
ejpam-6783	133	2	µ	µ	NOUN
ejpam-6783	133	3	=	=	SYM
ejpam-6783	133	4	value	value	NOUN
ejpam-6783	133	5	-	-	PUNCT
ejpam-6783	133	6	at	at	ADP
ejpam-6783	133	7	-	-	PUNCT
ejpam-6783	133	8	risk	risk	NOUN
ejpam-6783	133	9	,	,	PUNCT
ejpam-6783	133	10	ν	ν	X
ejpam-6783	133	11	=	=	SYM
ejpam-6783	133	12	fuzzy	fuzzy	ADJ
ejpam-6783	133	13	cvar	cvar	NOUN
ejpam-6783	133	14	.	.	PUNCT
ejpam-6783	134	1	for	for	ADP
ejpam-6783	134	2	f̃(x	f̃(x	PROPN
ejpam-6783	134	3	)	)	PUNCT
ejpam-6783	134	4	=	=	SYM
ejpam-6783	134	5	”	"	PUNCT
ejpam-6783	134	6	high	high	ADJ
ejpam-6783	134	7	risk	risk	NOUN
ejpam-6783	134	8	”	"	PUNCT
ejpam-6783	134	9	with	with	ADP
ejpam-6783	134	10	α	α	NOUN
ejpam-6783	134	11	-	-	NOUN
ejpam-6783	134	12	cuts	cut	NOUN
ejpam-6783	134	13	:	:	PUNCT
ejpam-6783	134	14	[	[	X
ejpam-6783	134	15	f̃	f̃	PROPN
ejpam-6783	134	16	]	]	PUNCT
ejpam-6783	134	17	α	α	NOUN
ejpam-6783	134	18	=	=	SYM
ejpam-6783	134	19	{	{	PUNCT
ejpam-6783	134	20	x	x	X
ejpam-6783	134	21	|	|	ADV
ejpam-6783	134	22	probability(x	probability(x	PROPN
ejpam-6783	134	23	)	)	PUNCT
ejpam-6783	134	24	≥	≥	NOUN
ejpam-6783	134	25	1−	1−	NUM
ejpam-6783	134	26	α	α	NOUN
ejpam-6783	134	27	}	}	PUNCT
ejpam-6783	134	28	,	,	PUNCT
ejpam-6783	134	29	theorem	theorem	VERB
ejpam-6783	134	30	3	3	NUM
ejpam-6783	134	31	constructs	construct	VERB
ejpam-6783	134	32	the	the	DET
ejpam-6783	134	33	fuzzy	fuzzy	ADJ
ejpam-6783	134	34	derivative	derivative	NOUN
ejpam-6783	134	35	:	:	PUNCT
ejpam-6783	135	1	dν	dν	PROPN
ejpam-6783	135	2	dµ	dµ	PROPN
ejpam-6783	135	3	=	=	SYM
ejpam-6783	135	4	f̃	f̃	PROPN
ejpam-6783	135	5	,	,	PUNCT
ejpam-6783	135	6	ν(ẽ	ν(ẽ	PROPN
ejpam-6783	135	7	)	)	PUNCT
ejpam-6783	135	8	=	=	SYM
ejpam-6783	136	1	∫	∫	PROPN
ejpam-6783	136	2	ẽ	ẽ	PROPN
ejpam-6783	136	3	f̃(x	f̃(x	PROPN
ejpam-6783	136	4	)	)	PUNCT
ejpam-6783	136	5	dµ(x	dµ(x	PUNCT
ejpam-6783	136	6	)	)	PUNCT
ejpam-6783	136	7	.	.	PUNCT
ejpam-6783	137	1	example	example	NOUN
ejpam-6783	137	2	4	4	NUM
ejpam-6783	137	3	(	(	PUNCT
ejpam-6783	137	4	fuzzy	fuzzy	ADJ
ejpam-6783	137	5	medical	medical	ADJ
ejpam-6783	137	6	diagnosis	diagnosis	NOUN
ejpam-6783	137	7	)	)	PUNCT
ejpam-6783	137	8	.	.	PUNCT
ejpam-6783	138	1	let	let	VERB
ejpam-6783	138	2	x	x	PUNCT
ejpam-6783	138	3	=	=	PRON
ejpam-6783	138	4	{	{	PUNCT
ejpam-6783	138	5	symptom	symptom	NOUN
ejpam-6783	138	6	profiles	profile	NOUN
ejpam-6783	138	7	}	}	PUNCT
ejpam-6783	138	8	be	be	AUX
ejpam-6783	138	9	an	an	DET
ejpam-6783	138	10	mr	mr	ADJ
ejpam-6783	138	11	-	-	PUNCT
ejpam-6783	138	12	metric	metric	ADJ
ejpam-6783	138	13	space	space	NOUN
ejpam-6783	138	14	with	with	ADP
ejpam-6783	138	15	:	:	PUNCT
ejpam-6783	138	16	m(v	m(v	NUM
ejpam-6783	138	17	,	,	PUNCT
ejpam-6783	138	18	ξ	ξ	PROPN
ejpam-6783	138	19	,	,	PUNCT
ejpam-6783	138	20	s	s	PART
ejpam-6783	138	21	)	)	PUNCT
ejpam-6783	138	22	=	=	SYM
ejpam-6783	139	1	max	max	PROPN
ejpam-6783	140	1	i	i	PRON
ejpam-6783	140	2	|vi	|vi	NUM
ejpam-6783	140	3	−	−	PROPN
ejpam-6783	140	4	ξi|+	ξi|+	NOUN
ejpam-6783	140	5	|ξi	|ξi	NUM
ejpam-6783	140	6	−	−	PROPN
ejpam-6783	140	7	si|+	si|+	PROPN
ejpam-6783	140	8	|si	|si	NUM
ejpam-6783	140	9	−	−	PROPN
ejpam-6783	140	10	vi|	vi|	NOUN
ejpam-6783	140	11	,	,	PUNCT
ejpam-6783	140	12	r	r	NOUN
ejpam-6783	140	13	=	=	SYM
ejpam-6783	140	14	2	2	X
ejpam-6783	140	15	.	.	PUNCT
ejpam-6783	140	16	define	define	VERB
ejpam-6783	140	17	a	a	DET
ejpam-6783	140	18	fuzzy	fuzzy	ADJ
ejpam-6783	140	19	mapping	mapping	NOUN
ejpam-6783	140	20	f	f	NOUN
ejpam-6783	140	21	:	:	PUNCT
ejpam-6783	140	22	x	x	X
ejpam-6783	140	23	→	→	SYM
ejpam-6783	140	24	f(x	f(x	PROPN
ejpam-6783	140	25	)	)	PUNCT
ejpam-6783	140	26	where	where	SCONJ
ejpam-6783	140	27	f(v	f(v	NOUN
ejpam-6783	140	28	)	)	PUNCT
ejpam-6783	140	29	is	be	AUX
ejpam-6783	140	30	the	the	DET
ejpam-6783	140	31	fuzzy	fuzzy	ADJ
ejpam-6783	140	32	set	set	NOUN
ejpam-6783	140	33	of	of	ADP
ejpam-6783	140	34	possible	possible	ADJ
ejpam-6783	140	35	diagnoses	diagnosis	NOUN
ejpam-6783	140	36	for	for	ADP
ejpam-6783	140	37	symptoms	symptom	NOUN
ejpam-6783	141	1	v.	v.	ADP
ejpam-6783	141	2	if	if	SCONJ
ejpam-6783	141	3	:	:	PUNCT
ejpam-6783	141	4	hm	hm	INTJ
ejpam-6783	141	5	(	(	PUNCT
ejpam-6783	141	6	f(v),f(ξ	f(v),f(ξ	NOUN
ejpam-6783	141	7	)	)	PUNCT
ejpam-6783	141	8	)	)	PUNCT
ejpam-6783	141	9	≤	≤	ADV
ejpam-6783	141	10	0.4	0.4	NUM
ejpam-6783	141	11	∫	∫	NOUN
ejpam-6783	141	12	x	x	PROPN
ejpam-6783	141	13	m(v	m(v	PROPN
ejpam-6783	141	14	,	,	PUNCT
ejpam-6783	141	15	ξ	ξ	PROPN
ejpam-6783	141	16	,	,	PUNCT
ejpam-6783	141	17	s	s	NOUN
ejpam-6783	141	18	)	)	PUNCT
ejpam-6783	141	19	dµprior(s	dµprior(s	NOUN
ejpam-6783	141	20	)	)	PUNCT
ejpam-6783	141	21	,	,	PUNCT
ejpam-6783	141	22	then	then	ADV
ejpam-6783	142	1	theorem	theorem	VERB
ejpam-6783	142	2	1	1	NUM
ejpam-6783	142	3	guarantees	guarantee	VERB
ejpam-6783	142	4	a	a	DET
ejpam-6783	142	5	unique	unique	ADJ
ejpam-6783	142	6	fuzzy	fuzzy	ADJ
ejpam-6783	142	7	diagnosis	diagnosis	NOUN
ejpam-6783	142	8	ũ	ũ	PROPN
ejpam-6783	142	9	such	such	ADJ
ejpam-6783	142	10	that	that	SCONJ
ejpam-6783	142	11	:	:	PUNCT
ejpam-6783	142	12	µũ(covid	µũ(covid	X
ejpam-6783	142	13	)	)	PUNCT
ejpam-6783	143	1	=	=	SYM
ejpam-6783	143	2	sup	sup	NOUN
ejpam-6783	143	3	ξ	ξ	PROPN
ejpam-6783	143	4	µf(ξ)(covid	µf(ξ)(covid	PROPN
ejpam-6783	143	5	)	)	PUNCT
ejpam-6783	143	6	.	.	PUNCT
ejpam-6783	144	1	example	example	NOUN
ejpam-6783	144	2	5	5	NUM
ejpam-6783	144	3	(	(	PUNCT
ejpam-6783	144	4	sensor	sensor	NOUN
ejpam-6783	144	5	data	datum	NOUN
ejpam-6783	144	6	fusion	fusion	NOUN
ejpam-6783	144	7	)	)	PUNCT
ejpam-6783	144	8	.	.	PUNCT
ejpam-6783	145	1	let	let	VERB
ejpam-6783	145	2	x	x	PUNCT
ejpam-6783	145	3	=	=	PUNCT
ejpam-6783	146	1	[	[	X
ejpam-6783	146	2	0	0	NUM
ejpam-6783	146	3	,	,	PUNCT
ejpam-6783	146	4	1]3	1]3	NUM
ejpam-6783	146	5	(	(	PUNCT
ejpam-6783	146	6	sensor	sensor	NOUN
ejpam-6783	146	7	positions	position	NOUN
ejpam-6783	146	8	)	)	PUNCT
ejpam-6783	146	9	with	with	ADP
ejpam-6783	146	10	mr	mr	PROPN
ejpam-6783	146	11	-	-	PUNCT
ejpam-6783	146	12	metric	metric	ADJ
ejpam-6783	146	13	:	:	PUNCT
ejpam-6783	146	14	m(x	m(x	PROPN
ejpam-6783	146	15	,	,	PUNCT
ejpam-6783	146	16	y	y	PROPN
ejpam-6783	146	17	,	,	PUNCT
ejpam-6783	146	18	z	z	NOUN
ejpam-6783	146	19	)	)	PUNCT
ejpam-6783	146	20	=	=	SYM
ejpam-6783	147	1	∥x−	∥x−	PROPN
ejpam-6783	147	2	y∥+	y∥+	PROPN
ejpam-6783	147	3	∥y	∥y	PROPN
ejpam-6783	147	4	−	−	PROPN
ejpam-6783	147	5	z∥+	z∥+	NOUN
ejpam-6783	147	6	|z	|z	PROPN
ejpam-6783	147	7	−	−	PROPN
ejpam-6783	147	8	x∥	x∥	PROPN
ejpam-6783	147	9	,	,	PUNCT
ejpam-6783	147	10	r	r	NOUN
ejpam-6783	147	11	=	=	SYM
ejpam-6783	147	12	1.5	1.5	NUM
ejpam-6783	147	13	.	.	PUNCT
ejpam-6783	148	1	for	for	ADP
ejpam-6783	148	2	fuzzy	fuzzy	ADJ
ejpam-6783	148	3	sensor	sensor	NOUN
ejpam-6783	148	4	sets	set	NOUN
ejpam-6783	148	5	{	{	PUNCT
ejpam-6783	148	6	ẽn	ẽn	NOUN
ejpam-6783	148	7	}	}	PUNCT
ejpam-6783	148	8	with	with	ADP
ejpam-6783	148	9	lim	lim	PROPN
ejpam-6783	148	10	inf	inf	PROPN
ejpam-6783	148	11	µẽn	µẽn	PROPN
ejpam-6783	148	12	≥	≥	NUM
ejpam-6783	148	13	0.7	0.7	NUM
ejpam-6783	148	14	,	,	PUNCT
ejpam-6783	148	15	theorem	theorem	VERB
ejpam-6783	148	16	2	2	NUM
ejpam-6783	148	17	yields	yield	NOUN
ejpam-6783	148	18	a	a	DET
ejpam-6783	148	19	fuzzy	fuzzy	ADJ
ejpam-6783	148	20	epicenter	epicenter	NOUN
ejpam-6783	148	21	p̃	p̃	PROPN
ejpam-6783	148	22	satisfying	satisfying	NOUN
ejpam-6783	148	23	:	:	PUNCT
ejpam-6783	148	24	µ({x	µ({x	PROPN
ejpam-6783	148	25	|m(x	|m(x	PROPN
ejpam-6783	148	26	,	,	PUNCT
ejpam-6783	148	27	x	x	NOUN
ejpam-6783	148	28	,	,	PUNCT
ejpam-6783	148	29	p̃	p̃	PROPN
ejpam-6783	148	30	)	)	PUNCT
ejpam-6783	148	31	<	<	X
ejpam-6783	148	32	0.1	0.1	NUM
ejpam-6783	148	33	}	}	PUNCT
ejpam-6783	148	34	)	)	PUNCT
ejpam-6783	148	35	≥	≥	NOUN
ejpam-6783	148	36	0.85	0.85	NUM
ejpam-6783	148	37	.	.	PUNCT
ejpam-6783	149	1	example	example	NOUN
ejpam-6783	149	2	6	6	NUM
ejpam-6783	149	3	(	(	PUNCT
ejpam-6783	149	4	financial	financial	ADJ
ejpam-6783	149	5	risk	risk	NOUN
ejpam-6783	149	6	)	)	PUNCT
ejpam-6783	149	7	.	.	PUNCT
ejpam-6783	150	1	let	let	VERB
ejpam-6783	150	2	µ	µ	NOUN
ejpam-6783	150	3	=	=	SYM
ejpam-6783	150	4	value	value	NOUN
ejpam-6783	150	5	-	-	PUNCT
ejpam-6783	150	6	at	at	ADP
ejpam-6783	150	7	-	-	PUNCT
ejpam-6783	150	8	risk	risk	NOUN
ejpam-6783	150	9	,	,	PUNCT
ejpam-6783	150	10	ν	ν	X
ejpam-6783	150	11	=	=	SYM
ejpam-6783	150	12	fuzzy	fuzzy	ADJ
ejpam-6783	150	13	cvar	cvar	NOUN
ejpam-6783	150	14	.	.	PUNCT
ejpam-6783	151	1	for	for	ADP
ejpam-6783	151	2	f̃(x	f̃(x	PROPN
ejpam-6783	151	3	)	)	PUNCT
ejpam-6783	151	4	=	=	SYM
ejpam-6783	151	5	”	"	PUNCT
ejpam-6783	151	6	high	high	ADJ
ejpam-6783	151	7	risk	risk	NOUN
ejpam-6783	151	8	”	"	PUNCT
ejpam-6783	151	9	with	with	ADP
ejpam-6783	151	10	α	α	NOUN
ejpam-6783	151	11	-	-	NOUN
ejpam-6783	151	12	cuts	cut	NOUN
ejpam-6783	151	13	:	:	PUNCT
ejpam-6783	151	14	[	[	X
ejpam-6783	151	15	f̃	f̃	PROPN
ejpam-6783	151	16	]	]	PUNCT
ejpam-6783	151	17	α	α	NOUN
ejpam-6783	151	18	=	=	SYM
ejpam-6783	151	19	{	{	PUNCT
ejpam-6783	151	20	x	x	X
ejpam-6783	151	21	|	|	ADV
ejpam-6783	151	22	probability(x	probability(x	PROPN
ejpam-6783	151	23	)	)	PUNCT
ejpam-6783	151	24	≥	≥	NOUN
ejpam-6783	151	25	1−	1−	NUM
ejpam-6783	151	26	α	α	NOUN
ejpam-6783	151	27	}	}	PUNCT
ejpam-6783	151	28	,	,	PUNCT
ejpam-6783	151	29	theorem	theorem	VERB
ejpam-6783	151	30	3	3	NUM
ejpam-6783	151	31	constructs	construct	VERB
ejpam-6783	151	32	the	the	DET
ejpam-6783	151	33	fuzzy	fuzzy	ADJ
ejpam-6783	151	34	derivative	derivative	NOUN
ejpam-6783	151	35	:	:	PUNCT
ejpam-6783	152	1	dν	dν	PROPN
ejpam-6783	152	2	dµ	dµ	PROPN
ejpam-6783	152	3	=	=	SYM
ejpam-6783	152	4	f̃	f̃	PROPN
ejpam-6783	152	5	,	,	PUNCT
ejpam-6783	152	6	ν(ẽ	ν(ẽ	PROPN
ejpam-6783	152	7	)	)	PUNCT
ejpam-6783	152	8	=	=	SYM
ejpam-6783	153	1	∫	∫	PROPN
ejpam-6783	153	2	ẽ	ẽ	PROPN
ejpam-6783	153	3	f̃(x	f̃(x	PROPN
ejpam-6783	153	4	)	)	PUNCT
ejpam-6783	153	5	dµ(x	dµ(x	PUNCT
ejpam-6783	153	6	)	)	PUNCT
ejpam-6783	153	7	.	.	PUNCT
ejpam-6783	154	1	a.	a.	PROPN
ejpam-6783	154	2	malkawi	malkawi	PROPN
ejpam-6783	154	3	,	,	PUNCT
ejpam-6783	154	4	a.	a.	PROPN
ejpam-6783	154	5	rabaiah	rabaiah	PROPN
ejpam-6783	154	6	/	/	SYM
ejpam-6783	154	7	eur	eur	PROPN
ejpam-6783	154	8	.	.	PUNCT
ejpam-6783	155	1	j.	j.	PROPN
ejpam-6783	155	2	pure	pure	PROPN
ejpam-6783	155	3	appl	appl	PROPN
ejpam-6783	155	4	.	.	PROPN
ejpam-6783	155	5	math	math	PROPN
ejpam-6783	155	6	,	,	PUNCT
ejpam-6783	155	7	18	18	NUM
ejpam-6783	155	8	(	(	PUNCT
ejpam-6783	155	9	4	4	NUM
ejpam-6783	155	10	)	)	PUNCT
ejpam-6783	155	11	(	(	PUNCT
ejpam-6783	155	12	2025	2025	NUM
ejpam-6783	155	13	)	)	PUNCT
ejpam-6783	155	14	,	,	PUNCT
ejpam-6783	155	15	6783	6783	NUM
ejpam-6783	155	16	8	8	NUM
ejpam-6783	155	17	of	of	ADP
ejpam-6783	155	18	10	10	NUM
ejpam-6783	155	19	references	reference	NOUN
ejpam-6783	155	20	[	[	X
ejpam-6783	155	21	1	1	NUM
ejpam-6783	155	22	]	]	PUNCT
ejpam-6783	155	23	a.	a.	NOUN
ejpam-6783	155	24	malkawi	malkawi	PROPN
ejpam-6783	155	25	,	,	PUNCT
ejpam-6783	155	26	a.	a.	PROPN
ejpam-6783	155	27	rabaiah	rabaiah	PROPN
ejpam-6783	155	28	,	,	PUNCT
ejpam-6783	155	29	and	and	CCONJ
ejpam-6783	155	30	w.	w.	PROPN
ejpam-6783	155	31	shatanawi	shatanawi	PROPN
ejpam-6783	155	32	.	.	PUNCT
ejpam-6783	156	1	mr	mr	PROPN
ejpam-6783	156	2	-	-	PUNCT
ejpam-6783	156	3	metric	metric	ADJ
ejpam-6783	156	4	spaces	space	NOUN
ejpam-6783	156	5	and	and	CCONJ
ejpam-6783	156	6	an	an	DET
ejpam-6783	156	7	application	application	NOUN
ejpam-6783	156	8	.	.	PUNCT
ejpam-6783	157	1	preprint	preprint	NOUN
ejpam-6783	157	2	,	,	PUNCT
ejpam-6783	157	3	2021	2021	NUM
ejpam-6783	157	4	.	.	PUNCT
ejpam-6783	158	1	[	[	X
ejpam-6783	158	2	2	2	NUM
ejpam-6783	158	3	]	]	PUNCT
ejpam-6783	158	4	a.	a.	NOUN
ejpam-6783	158	5	a.	a.	PROPN
ejpam-6783	158	6	r.	r.	PROPN
ejpam-6783	158	7	m.	m.	PROPN
ejpam-6783	158	8	malkawi	malkawi	PROPN
ejpam-6783	158	9	.	.	PROPN
ejpam-6783	158	10	existence	existence	NOUN
ejpam-6783	158	11	and	and	CCONJ
ejpam-6783	158	12	uniqueness	uniqueness	NOUN
ejpam-6783	158	13	of	of	ADP
ejpam-6783	158	14	fixed	fix	VERB
ejpam-6783	158	15	points	point	NOUN
ejpam-6783	158	16	in	in	ADP
ejpam-6783	158	17	mr	mr	PROPN
ejpam-6783	158	18	-	-	PUNCT
ejpam-6783	158	19	metric	metric	ADJ
ejpam-6783	158	20	spaces	space	NOUN
ejpam-6783	158	21	and	and	CCONJ
ejpam-6783	158	22	their	their	PRON
ejpam-6783	158	23	applications	application	NOUN
ejpam-6783	158	24	.	.	PUNCT
ejpam-6783	159	1	european	european	ADJ
ejpam-6783	159	2	journal	journal	PROPN
ejpam-6783	159	3	of	of	ADP
ejpam-6783	159	4	pure	pure	ADJ
ejpam-6783	159	5	and	and	CCONJ
ejpam-6783	159	6	applied	applied	ADJ
ejpam-6783	159	7	mathematics	mathematic	NOUN
ejpam-6783	159	8	,	,	PUNCT
ejpam-6783	159	9	18(2):6077	18(2):6077	NUM
ejpam-6783	159	10	,	,	PUNCT
ejpam-6783	159	11	2025	2025	NUM
ejpam-6783	159	12	.	.	PUNCT
ejpam-6783	160	1	[	[	X
ejpam-6783	160	2	3	3	NUM
ejpam-6783	160	3	]	]	PUNCT
ejpam-6783	160	4	a.	a.	NOUN
ejpam-6783	160	5	a.	a.	PROPN
ejpam-6783	160	6	r.	r.	PROPN
ejpam-6783	160	7	m.	m.	PROPN
ejpam-6783	160	8	malkawi	malkawi	PROPN
ejpam-6783	160	9	,	,	PUNCT
ejpam-6783	160	10	d.	d.	PROPN
ejpam-6783	160	11	mahmoud	mahmoud	PROPN
ejpam-6783	160	12	,	,	PUNCT
ejpam-6783	160	13	a.	a.	PROPN
ejpam-6783	160	14	m.	m.	PROPN
ejpam-6783	160	15	rabaiah	rabaiah	PROPN
ejpam-6783	160	16	,	,	PUNCT
ejpam-6783	160	17	r.	r.	PROPN
ejpam-6783	160	18	al	al	PROPN
ejpam-6783	160	19	-	-	PUNCT
ejpam-6783	160	20	deiakeh	deiakeh	PROPN
ejpam-6783	160	21	,	,	PUNCT
ejpam-6783	160	22	and	and	CCONJ
ejpam-6783	160	23	w.	w.	PROPN
ejpam-6783	160	24	shatanawi	shatanawi	PROPN
ejpam-6783	160	25	.	.	PUNCT
ejpam-6783	161	1	on	on	ADP
ejpam-6783	161	2	fixed	fix	VERB
ejpam-6783	161	3	point	point	NOUN
ejpam-6783	161	4	theorems	theorem	NOUN
ejpam-6783	161	5	in	in	ADP
ejpam-6783	161	6	mr	mr	PROPN
ejpam-6783	161	7	-	-	PUNCT
ejpam-6783	161	8	metric	metric	ADJ
ejpam-6783	161	9	spaces	space	NOUN
ejpam-6783	161	10	.	.	PUNCT
ejpam-6783	162	1	nonlinear	nonlinear	ADJ
ejpam-6783	162	2	functional	functional	ADJ
ejpam-6783	162	3	analysis	analysis	NOUN
ejpam-6783	162	4	and	and	CCONJ
ejpam-6783	162	5	applications	application	NOUN
ejpam-6783	162	6	,	,	PUNCT
ejpam-6783	162	7	29(4):1125–1136	29(4):1125–1136	NUM
ejpam-6783	162	8	,	,	PUNCT
ejpam-6783	162	9	2024	2024	NUM
ejpam-6783	162	10	.	.	PUNCT
ejpam-6783	163	1	[	[	X
ejpam-6783	163	2	4	4	NUM
ejpam-6783	163	3	]	]	X
ejpam-6783	163	4	a.	a.	NOUN
ejpam-6783	163	5	malkawi	malkawi	NOUN
ejpam-6783	163	6	and	and	CCONJ
ejpam-6783	163	7	a.	a.	PROPN
ejpam-6783	163	8	rabaiah	rabaiah	PROPN
ejpam-6783	163	9	.	.	PUNCT
ejpam-6783	164	1	mr	mr	PROPN
ejpam-6783	164	2	-	-	PUNCT
ejpam-6783	164	3	metric	metric	ADJ
ejpam-6783	164	4	spaces	space	NOUN
ejpam-6783	164	5	:	:	PUNCT
ejpam-6783	164	6	theory	theory	NOUN
ejpam-6783	164	7	and	and	CCONJ
ejpam-6783	164	8	applications	application	NOUN
ejpam-6783	164	9	in	in	ADP
ejpam-6783	164	10	weighted	weighted	ADJ
ejpam-6783	164	11	graphs	graph	NOUN
ejpam-6783	164	12	,	,	PUNCT
ejpam-6783	164	13	expander	expander	NOUN
ejpam-6783	164	14	graphs	graph	NOUN
ejpam-6783	164	15	,	,	PUNCT
ejpam-6783	164	16	and	and	CCONJ
ejpam-6783	164	17	fixed	fix	VERB
ejpam-6783	164	18	-	-	PUNCT
ejpam-6783	164	19	point	point	NOUN
ejpam-6783	164	20	theorems	theorem	NOUN
ejpam-6783	164	21	.	.	PUNCT
ejpam-6783	165	1	european	european	PROPN
ejpam-6783	165	2	journal	journal	PROPN
ejpam-6783	165	3	of	of	ADP
ejpam-6783	165	4	pure	pure	ADJ
ejpam-6783	165	5	and	and	CCONJ
ejpam-6783	165	6	applied	applied	ADJ
ejpam-6783	165	7	mathematics	mathematic	NOUN
ejpam-6783	165	8	,	,	PUNCT
ejpam-6783	165	9	18(3):6525	18(3):6525	NUM
ejpam-6783	165	10	,	,	PUNCT
ejpam-6783	165	11	2025	2025	NUM
ejpam-6783	165	12	.	.	PUNCT
ejpam-6783	166	1	[	[	X
ejpam-6783	166	2	5	5	NUM
ejpam-6783	166	3	]	]	PUNCT
ejpam-6783	166	4	a.	a.	NOUN
ejpam-6783	166	5	malkawi	malkawi	PROPN
ejpam-6783	166	6	.	.	PUNCT
ejpam-6783	167	1	applications	application	NOUN
ejpam-6783	167	2	of	of	ADP
ejpam-6783	167	3	mr	mr	PROPN
ejpam-6783	167	4	-	-	PUNCT
ejpam-6783	167	5	metric	metric	ADJ
ejpam-6783	167	6	spaces	space	NOUN
ejpam-6783	167	7	in	in	ADP
ejpam-6783	167	8	measure	measure	NOUN
ejpam-6783	167	9	theory	theory	NOUN
ejpam-6783	167	10	and	and	CCONJ
ejpam-6783	167	11	convergence	convergence	NOUN
ejpam-6783	167	12	analysis	analysis	NOUN
ejpam-6783	167	13	.	.	PUNCT
ejpam-6783	168	1	european	european	ADJ
ejpam-6783	168	2	journal	journal	PROPN
ejpam-6783	168	3	of	of	ADP
ejpam-6783	168	4	pure	pure	ADJ
ejpam-6783	168	5	and	and	CCONJ
ejpam-6783	168	6	applied	applied	ADJ
ejpam-6783	168	7	mathematics	mathematic	NOUN
ejpam-6783	168	8	,	,	PUNCT
ejpam-6783	168	9	18(3):6528	18(3):6528	NUM
ejpam-6783	168	10	,	,	PUNCT
ejpam-6783	168	11	2025	2025	NUM
ejpam-6783	168	12	.	.	PUNCT
ejpam-6783	169	1	[	[	X
ejpam-6783	169	2	6	6	NUM
ejpam-6783	169	3	]	]	PUNCT
ejpam-6783	169	4	a.	a.	NOUN
ejpam-6783	169	5	malkawi	malkawi	PROPN
ejpam-6783	169	6	,	,	PUNCT
ejpam-6783	169	7	a.	a.	NOUN
ejpam-6783	169	8	tallafha	tallafha	NOUN
ejpam-6783	169	9	,	,	PUNCT
ejpam-6783	169	10	and	and	CCONJ
ejpam-6783	169	11	w.	w.	PROPN
ejpam-6783	169	12	shatanawi	shatanawi	PROPN
ejpam-6783	169	13	.	.	PUNCT
ejpam-6783	170	1	coincidence	coincidence	NOUN
ejpam-6783	170	2	and	and	CCONJ
ejpam-6783	170	3	fixed	fix	VERB
ejpam-6783	170	4	point	point	NOUN
ejpam-6783	170	5	results	result	NOUN
ejpam-6783	170	6	for	for	ADP
ejpam-6783	170	7	generalized	generalized	ADJ
ejpam-6783	170	8	weak	weak	ADJ
ejpam-6783	170	9	contraction	contraction	NOUN
ejpam-6783	170	10	mapping	mapping	NOUN
ejpam-6783	170	11	on	on	ADP
ejpam-6783	170	12	b	b	NOUN
ejpam-6783	170	13	-	-	PUNCT
ejpam-6783	170	14	metric	metric	ADJ
ejpam-6783	170	15	spaces	space	NOUN
ejpam-6783	170	16	.	.	PUNCT
ejpam-6783	171	1	nonlinear	nonlinear	ADJ
ejpam-6783	171	2	functional	functional	ADJ
ejpam-6783	171	3	analysis	analysis	NOUN
ejpam-6783	171	4	and	and	CCONJ
ejpam-6783	171	5	applications	application	NOUN
ejpam-6783	171	6	,	,	PUNCT
ejpam-6783	171	7	26(1):177–195	26(1):177–195	NOUN
ejpam-6783	171	8	,	,	PUNCT
ejpam-6783	171	9	2021	2021	NUM
ejpam-6783	171	10	.	.	PUNCT
ejpam-6783	172	1	[	[	X
ejpam-6783	172	2	7	7	X
ejpam-6783	172	3	]	]	X
ejpam-6783	172	4	a.	a.	NOUN
ejpam-6783	172	5	malkawi	malkawi	PROPN
ejpam-6783	172	6	,	,	PUNCT
ejpam-6783	172	7	a.	a.	NOUN
ejpam-6783	172	8	talafhah	talafhah	PROPN
ejpam-6783	172	9	,	,	PUNCT
ejpam-6783	172	10	and	and	CCONJ
ejpam-6783	172	11	w.	w.	PROPN
ejpam-6783	172	12	shatanawi	shatanawi	PROPN
ejpam-6783	172	13	.	.	PUNCT
ejpam-6783	173	1	coincidence	coincidence	NOUN
ejpam-6783	173	2	and	and	CCONJ
ejpam-6783	173	3	fixed	fix	VERB
ejpam-6783	173	4	point	point	NOUN
ejpam-6783	173	5	results	result	NOUN
ejpam-6783	173	6	for	for	ADP
ejpam-6783	173	7	(	(	PUNCT
ejpam-6783	173	8	ψ	ψ	NOUN
ejpam-6783	173	9	,	,	PUNCT
ejpam-6783	173	10	l)-m	l)-m	ADJ
ejpam-6783	173	11	-	-	PUNCT
ejpam-6783	173	12	weak	weak	ADJ
ejpam-6783	173	13	contraction	contraction	NOUN
ejpam-6783	173	14	mapping	mapping	NOUN
ejpam-6783	173	15	on	on	ADP
ejpam-6783	173	16	mb	mb	ADJ
ejpam-6783	173	17	-	-	ADJ
ejpam-6783	173	18	metric	metric	ADJ
ejpam-6783	173	19	spaces	space	NOUN
ejpam-6783	173	20	.	.	PUNCT
ejpam-6783	174	1	italian	italian	ADJ
ejpam-6783	174	2	journal	journal	NOUN
ejpam-6783	174	3	of	of	ADP
ejpam-6783	174	4	pure	pure	ADJ
ejpam-6783	174	5	and	and	CCONJ
ejpam-6783	174	6	applied	applied	ADJ
ejpam-6783	174	7	mathematics	mathematic	NOUN
ejpam-6783	174	8	,	,	PUNCT
ejpam-6783	174	9	(	(	PUNCT
ejpam-6783	174	10	47):751–768	47):751–768	NOUN
ejpam-6783	174	11	,	,	PUNCT
ejpam-6783	174	12	2022	2022	NUM
ejpam-6783	174	13	.	.	PUNCT
ejpam-6783	175	1	[	[	X
ejpam-6783	175	2	8	8	NUM
ejpam-6783	175	3	]	]	PUNCT
ejpam-6783	175	4	r.	r.	PROPN
ejpam-6783	175	5	al	al	PROPN
ejpam-6783	175	6	-	-	PUNCT
ejpam-6783	175	7	deiakeh	deiakeh	ADJ
ejpam-6783	175	8	,	,	PUNCT
ejpam-6783	175	9	m.	m.	NOUN
ejpam-6783	175	10	alquran	alquran	PROPN
ejpam-6783	175	11	,	,	PUNCT
ejpam-6783	175	12	m.	m.	PROPN
ejpam-6783	175	13	ali	ali	PROPN
ejpam-6783	175	14	,	,	PUNCT
ejpam-6783	175	15	s.	s.	PROPN
ejpam-6783	175	16	qureshi	qureshi	PROPN
ejpam-6783	175	17	,	,	PUNCT
ejpam-6783	175	18	s.	s.	PROPN
ejpam-6783	175	19	momani	momani	PROPN
ejpam-6783	175	20	,	,	PUNCT
ejpam-6783	175	21	and	and	CCONJ
ejpam-6783	175	22	a.	a.	NOUN
ejpam-6783	175	23	a.	a.	PROPN
ejpam-6783	175	24	r.	r.	PROPN
ejpam-6783	175	25	malkawi	malkawi	PROPN
ejpam-6783	175	26	.	.	PROPN
ejpam-6783	175	27	lie	lie	PROPN
ejpam-6783	175	28	symmetry	symmetry	NOUN
ejpam-6783	175	29	,	,	PUNCT
ejpam-6783	175	30	convergence	convergence	NOUN
ejpam-6783	175	31	analysis	analysis	NOUN
ejpam-6783	175	32	,	,	PUNCT
ejpam-6783	175	33	explicit	explicit	ADJ
ejpam-6783	175	34	solutions	solution	NOUN
ejpam-6783	175	35	,	,	PUNCT
ejpam-6783	175	36	and	and	CCONJ
ejpam-6783	175	37	conservation	conservation	NOUN
ejpam-6783	175	38	laws	law	NOUN
ejpam-6783	175	39	for	for	ADP
ejpam-6783	175	40	the	the	DET
ejpam-6783	175	41	time	time	NOUN
ejpam-6783	175	42	-	-	PUNCT
ejpam-6783	175	43	fractional	fractional	ADJ
ejpam-6783	175	44	modified	modify	VERB
ejpam-6783	175	45	benjamin	benjamin	PROPN
ejpam-6783	175	46	-	-	PUNCT
ejpam-6783	175	47	bona	bona	ADJ
ejpam-6783	175	48	-	-	PUNCT
ejpam-6783	175	49	mahony	mahony	NOUN
ejpam-6783	175	50	equation	equation	NOUN
ejpam-6783	175	51	.	.	PUNCT
ejpam-6783	176	1	journal	journal	PROPN
ejpam-6783	176	2	of	of	ADP
ejpam-6783	176	3	applied	apply	VERB
ejpam-6783	176	4	mathematics	mathematic	NOUN
ejpam-6783	176	5	and	and	CCONJ
ejpam-6783	176	6	computational	computational	ADJ
ejpam-6783	176	7	mechanics	mechanic	NOUN
ejpam-6783	176	8	,	,	PUNCT
ejpam-6783	176	9	23(1):19–31	23(1):19–31	NUM
ejpam-6783	176	10	,	,	PUNCT
ejpam-6783	176	11	2024	2024	NUM
ejpam-6783	176	12	.	.	PUNCT
ejpam-6783	177	1	[	[	X
ejpam-6783	177	2	9	9	NUM
ejpam-6783	177	3	]	]	PUNCT
ejpam-6783	177	4	s.	s.	PROPN
ejpam-6783	177	5	al	al	PROPN
ejpam-6783	177	6	-	-	PUNCT
ejpam-6783	177	7	sharif	sharif	PROPN
ejpam-6783	177	8	and	and	CCONJ
ejpam-6783	177	9	a.	a.	NOUN
ejpam-6783	177	10	malkawi	malkawi	PROPN
ejpam-6783	177	11	.	.	PUNCT
ejpam-6783	178	1	modification	modification	NOUN
ejpam-6783	178	2	of	of	ADP
ejpam-6783	178	3	conformable	conformable	ADJ
ejpam-6783	178	4	fractional	fractional	ADJ
ejpam-6783	178	5	derivative	derivative	NOUN
ejpam-6783	178	6	with	with	ADP
ejpam-6783	178	7	classical	classical	ADJ
ejpam-6783	178	8	properties	property	NOUN
ejpam-6783	178	9	.	.	PUNCT
ejpam-6783	179	1	italian	italian	ADJ
ejpam-6783	179	2	journal	journal	NOUN
ejpam-6783	179	3	of	of	ADP
ejpam-6783	179	4	pure	pure	ADJ
ejpam-6783	179	5	and	and	CCONJ
ejpam-6783	179	6	applied	applied	ADJ
ejpam-6783	179	7	mathematics	mathematic	NOUN
ejpam-6783	179	8	,	,	PUNCT
ejpam-6783	179	9	44:30–39	44:30–39	PROPN
ejpam-6783	179	10	,	,	PUNCT
ejpam-6783	179	11	2020	2020	NUM
ejpam-6783	179	12	.	.	PUNCT
ejpam-6783	180	1	[	[	X
ejpam-6783	180	2	10	10	NUM
ejpam-6783	180	3	]	]	X
ejpam-6783	180	4	a.	a.	NOUN
ejpam-6783	180	5	malkawi	malkawi	PROPN
ejpam-6783	180	6	.	.	PUNCT
ejpam-6783	181	1	enhanced	enhance	VERB
ejpam-6783	181	2	uncertainty	uncertainty	NOUN
ejpam-6783	181	3	modeling	model	VERB
ejpam-6783	181	4	through	through	ADP
ejpam-6783	181	5	neutrosophic	neutrosophic	ADJ
ejpam-6783	181	6	mr	mr	PROPN
ejpam-6783	181	7	-	-	PUNCT
ejpam-6783	181	8	metrics	metric	NOUN
ejpam-6783	181	9	:	:	PUNCT
ejpam-6783	181	10	a	a	DET
ejpam-6783	181	11	unified	unified	ADJ
ejpam-6783	181	12	framework	framework	NOUN
ejpam-6783	181	13	with	with	ADP
ejpam-6783	181	14	fuzzy	fuzzy	ADJ
ejpam-6783	181	15	embedding	embedding	NOUN
ejpam-6783	181	16	and	and	CCONJ
ejpam-6783	181	17	contraction	contraction	NOUN
ejpam-6783	181	18	principles	principle	NOUN
ejpam-6783	181	19	.	.	PUNCT
ejpam-6783	182	1	european	european	ADJ
ejpam-6783	182	2	journal	journal	PROPN
ejpam-6783	182	3	of	of	ADP
ejpam-6783	182	4	pure	pure	ADJ
ejpam-6783	182	5	and	and	CCONJ
ejpam-6783	182	6	applied	applied	ADJ
ejpam-6783	182	7	mathematics	mathematic	NOUN
ejpam-6783	182	8	,	,	PUNCT
ejpam-6783	182	9	18(3):6475	18(3):6475	NUM
ejpam-6783	182	10	,	,	PUNCT
ejpam-6783	182	11	2025	2025	NUM
ejpam-6783	182	12	.	.	PUNCT
ejpam-6783	183	1	[	[	X
ejpam-6783	183	2	11	11	NUM
ejpam-6783	183	3	]	]	PUNCT
ejpam-6783	183	4	i.	i.	PROPN
ejpam-6783	183	5	a.	a.	PROPN
ejpam-6783	183	6	bakhtin	bakhtin	PROPN
ejpam-6783	183	7	.	.	PUNCT
ejpam-6783	184	1	the	the	DET
ejpam-6783	184	2	contraction	contraction	NOUN
ejpam-6783	184	3	mapping	map	VERB
ejpam-6783	184	4	principle	principle	NOUN
ejpam-6783	184	5	in	in	ADP
ejpam-6783	184	6	almost	almost	ADV
ejpam-6783	184	7	metric	metric	ADJ
ejpam-6783	184	8	spaces	space	NOUN
ejpam-6783	184	9	.	.	PUNCT
ejpam-6783	185	1	functional	functional	ADJ
ejpam-6783	185	2	analysis	analysis	NOUN
ejpam-6783	185	3	,	,	PUNCT
ejpam-6783	185	4	30:26–37	30:26–37	PROPN
ejpam-6783	185	5	,	,	PUNCT
ejpam-6783	185	6	1989	1989	NUM
ejpam-6783	185	7	.	.	PUNCT
ejpam-6783	186	1	[	[	X
ejpam-6783	186	2	12	12	NUM
ejpam-6783	186	3	]	]	X
ejpam-6783	186	4	w.	w.	PROPN
ejpam-6783	186	5	shatanawi	shatanawi	PROPN
ejpam-6783	186	6	,	,	PUNCT
ejpam-6783	186	7	t.	t.	NOUN
ejpam-6783	186	8	qawasmeh	qawasmeh	NOUN
ejpam-6783	186	9	,	,	PUNCT
ejpam-6783	186	10	a.	a.	NOUN
ejpam-6783	186	11	bataihah	bataihah	PROPN
ejpam-6783	186	12	,	,	PUNCT
ejpam-6783	186	13	and	and	CCONJ
ejpam-6783	186	14	a.	a.	NOUN
ejpam-6783	186	15	tallafha	tallafha	NOUN
ejpam-6783	186	16	.	.	PUNCT
ejpam-6783	187	1	new	new	ADJ
ejpam-6783	187	2	contractions	contraction	NOUN
ejpam-6783	187	3	and	and	CCONJ
ejpam-6783	187	4	some	some	DET
ejpam-6783	187	5	fixed	fix	VERB
ejpam-6783	187	6	point	point	NOUN
ejpam-6783	187	7	results	result	NOUN
ejpam-6783	187	8	with	with	ADP
ejpam-6783	187	9	application	application	NOUN
ejpam-6783	187	10	based	base	VERB
ejpam-6783	187	11	on	on	ADP
ejpam-6783	187	12	extended	extended	ADJ
ejpam-6783	187	13	quasi	quasi	ADJ
ejpam-6783	187	14	b	b	NOUN
ejpam-6783	187	15	-	-	ADJ
ejpam-6783	187	16	metric	metric	ADJ
ejpam-6783	187	17	spaces	space	NOUN
ejpam-6783	187	18	.	.	PUNCT
ejpam-6783	188	1	u.p.b	u.p.b	ADJ
ejpam-6783	188	2	.	.	PUNCT
ejpam-6783	189	1	scientific	scientific	ADJ
ejpam-6783	189	2	bulletin	bulletin	NOUN
ejpam-6783	189	3	,	,	PUNCT
ejpam-6783	189	4	series	series	PROPN
ejpam-6783	189	5	a	a	PROPN
ejpam-6783	189	6	,	,	PUNCT
ejpam-6783	189	7	83(2):1223–7027	83(2):1223–7027	NUM
ejpam-6783	189	8	,	,	PUNCT
ejpam-6783	189	9	2021	2021	NUM
ejpam-6783	189	10	.	.	PUNCT
ejpam-6783	190	1	[	[	X
ejpam-6783	190	2	13	13	NUM
ejpam-6783	190	3	]	]	PUNCT
ejpam-6783	190	4	t.	t.	NOUN
ejpam-6783	190	5	qawasmeh	qawasmeh	NOUN
ejpam-6783	190	6	,	,	PUNCT
ejpam-6783	190	7	w.	w.	PROPN
ejpam-6783	190	8	shatanawi	shatanawi	PROPN
ejpam-6783	190	9	,	,	PUNCT
ejpam-6783	190	10	a.	a.	NOUN
ejpam-6783	190	11	bataihah	bataihah	PROPN
ejpam-6783	190	12	,	,	PUNCT
ejpam-6783	190	13	and	and	CCONJ
ejpam-6783	190	14	a.	a.	NOUN
ejpam-6783	190	15	tallafha	tallafha	NOUN
ejpam-6783	190	16	.	.	PUNCT
ejpam-6783	191	1	fixed	fix	VERB
ejpam-6783	191	2	point	point	NOUN
ejpam-6783	191	3	results	result	NOUN
ejpam-6783	191	4	and	and	CCONJ
ejpam-6783	191	5	(	(	PUNCT
ejpam-6783	191	6	α	α	NOUN
ejpam-6783	191	7	,	,	PUNCT
ejpam-6783	191	8	β)-triangular	β)-triangular	ADJ
ejpam-6783	191	9	admissibility	admissibility	NOUN
ejpam-6783	191	10	in	in	ADP
ejpam-6783	191	11	the	the	DET
ejpam-6783	191	12	frame	frame	NOUN
ejpam-6783	191	13	of	of	ADP
ejpam-6783	191	14	complete	complete	ADJ
ejpam-6783	191	15	extended	extended	ADJ
ejpam-6783	191	16	b	b	NOUN
ejpam-6783	191	17	-	-	PUNCT
ejpam-6783	191	18	metric	metric	ADJ
ejpam-6783	191	19	spaces	space	NOUN
ejpam-6783	191	20	and	and	CCONJ
ejpam-6783	191	21	application	application	NOUN
ejpam-6783	191	22	.	.	PUNCT
ejpam-6783	192	1	u.p.b	u.p.b	PROPN
ejpam-6783	192	2	.	.	PUNCT
ejpam-6783	193	1	scientific	scientific	ADJ
ejpam-6783	193	2	bulletin	bulletin	NOUN
ejpam-6783	193	3	,	,	PUNCT
ejpam-6783	193	4	series	series	PROPN
ejpam-6783	193	5	a	a	PROPN
ejpam-6783	193	6	,	,	PUNCT
ejpam-6783	193	7	83(1):113–124	83(1):113–124	PROPN
ejpam-6783	193	8	,	,	PUNCT
ejpam-6783	193	9	2021	2021	NUM
ejpam-6783	193	10	.	.	PUNCT
ejpam-6783	194	1	[	[	X
ejpam-6783	194	2	14	14	NUM
ejpam-6783	194	3	]	]	PUNCT
ejpam-6783	194	4	a.	a.	NOUN
ejpam-6783	194	5	bataihah	bataihah	PROPN
ejpam-6783	194	6	,	,	PUNCT
ejpam-6783	194	7	a.	a.	NOUN
ejpam-6783	194	8	tallafha	tallafha	NOUN
ejpam-6783	194	9	,	,	PUNCT
ejpam-6783	194	10	and	and	CCONJ
ejpam-6783	194	11	w.	w.	PROPN
ejpam-6783	194	12	shatanawi	shatanawi	PROPN
ejpam-6783	194	13	.	.	PUNCT
ejpam-6783	195	1	fixed	fix	VERB
ejpam-6783	195	2	point	point	NOUN
ejpam-6783	195	3	results	result	NOUN
ejpam-6783	195	4	with	with	ADP
ejpam-6783	195	5	simulation	simulation	NOUN
ejpam-6783	195	6	functions	function	NOUN
ejpam-6783	195	7	.	.	PUNCT
ejpam-6783	196	1	nonlinear	nonlinear	ADJ
ejpam-6783	196	2	functional	functional	ADJ
ejpam-6783	196	3	analysis	analysis	NOUN
ejpam-6783	196	4	and	and	CCONJ
ejpam-6783	196	5	applications	application	NOUN
ejpam-6783	196	6	,	,	PUNCT
ejpam-6783	196	7	25(1):13–23	25(1):13–23	NUM
ejpam-6783	196	8	,	,	PUNCT
ejpam-6783	196	9	2020	2020	NUM
ejpam-6783	196	10	.	.	PUNCT
ejpam-6783	197	1	[	[	X
ejpam-6783	197	2	15	15	NUM
ejpam-6783	197	3	]	]	X
ejpam-6783	197	4	k.	k.	PROPN
ejpam-6783	197	5	abodayeh	abodayeh	PROPN
ejpam-6783	197	6	,	,	PUNCT
ejpam-6783	197	7	w.	w.	PROPN
ejpam-6783	197	8	shatanawi	shatanawi	PROPN
ejpam-6783	197	9	,	,	PUNCT
ejpam-6783	197	10	a.	a.	NOUN
ejpam-6783	197	11	bataihah	bataihah	PROPN
ejpam-6783	197	12	,	,	PUNCT
ejpam-6783	197	13	and	and	CCONJ
ejpam-6783	197	14	a.	a.	PROPN
ejpam-6783	197	15	h.	h.	PROPN
ejpam-6783	197	16	ansari	ansari	PROPN
ejpam-6783	197	17	.	.	PUNCT
ejpam-6783	198	1	some	some	DET
ejpam-6783	198	2	fixed	fix	VERB
ejpam-6783	198	3	point	point	NOUN
ejpam-6783	198	4	and	and	CCONJ
ejpam-6783	198	5	common	common	ADJ
ejpam-6783	198	6	fixed	fix	VERB
ejpam-6783	198	7	point	point	NOUN
ejpam-6783	198	8	results	result	NOUN
ejpam-6783	198	9	through	through	ADP
ejpam-6783	198	10	ω	ω	NOUN
ejpam-6783	198	11	-	-	PUNCT
ejpam-6783	198	12	distance	distance	NOUN
ejpam-6783	198	13	under	under	ADP
ejpam-6783	198	14	nonlinear	nonlinear	ADJ
ejpam-6783	198	15	contractions	contraction	NOUN
ejpam-6783	198	16	.	.	PUNCT
ejpam-6783	199	1	gazi	gazi	PROPN
ejpam-6783	199	2	university	university	PROPN
ejpam-6783	199	3	journal	journal	PROPN
ejpam-6783	199	4	of	of	ADP
ejpam-6783	199	5	science	science	NOUN
ejpam-6783	199	6	,	,	PUNCT
ejpam-6783	199	7	30(1):293–302	30(1):293–302	NOUN
ejpam-6783	199	8	,	,	PUNCT
ejpam-6783	199	9	2017	2017	NUM
ejpam-6783	199	10	.	.	PUNCT
ejpam-6783	200	1	a.	a.	NOUN
ejpam-6783	200	2	malkawi	malkawi	PROPN
ejpam-6783	200	3	,	,	PUNCT
ejpam-6783	200	4	a.	a.	PROPN
ejpam-6783	200	5	rabaiah	rabaiah	PROPN
ejpam-6783	200	6	/	/	SYM
ejpam-6783	200	7	eur	eur	PROPN
ejpam-6783	200	8	.	.	PUNCT
ejpam-6783	201	1	j.	j.	PROPN
ejpam-6783	201	2	pure	pure	PROPN
ejpam-6783	201	3	appl	appl	PROPN
ejpam-6783	201	4	.	.	PROPN
ejpam-6783	201	5	math	math	PROPN
ejpam-6783	201	6	,	,	PUNCT
ejpam-6783	201	7	18	18	NUM
ejpam-6783	201	8	(	(	PUNCT
ejpam-6783	201	9	4	4	NUM
ejpam-6783	201	10	)	)	PUNCT
ejpam-6783	201	11	(	(	PUNCT
ejpam-6783	201	12	2025	2025	NUM
ejpam-6783	201	13	)	)	PUNCT
ejpam-6783	201	14	,	,	PUNCT
ejpam-6783	201	15	6783	6783	NUM
ejpam-6783	201	16	9	9	NUM
ejpam-6783	201	17	of	of	ADP
ejpam-6783	201	18	10	10	NUM
ejpam-6783	201	19	[	[	SYM
ejpam-6783	201	20	16	16	NUM
ejpam-6783	201	21	]	]	PUNCT
ejpam-6783	201	22	a.	a.	NOUN
ejpam-6783	201	23	bataihah	bataihah	PROPN
ejpam-6783	201	24	,	,	PUNCT
ejpam-6783	201	25	a.	a.	NOUN
ejpam-6783	201	26	tallafha	tallafha	NOUN
ejpam-6783	201	27	,	,	PUNCT
ejpam-6783	201	28	and	and	CCONJ
ejpam-6783	201	29	w.	w.	PROPN
ejpam-6783	201	30	shatanawi	shatanawi	PROPN
ejpam-6783	201	31	.	.	PUNCT
ejpam-6783	202	1	fixed	fix	VERB
ejpam-6783	202	2	point	point	NOUN
ejpam-6783	202	3	results	result	NOUN
ejpam-6783	202	4	with	with	ADP
ejpam-6783	202	5	ω	ω	NOUN
ejpam-6783	202	6	-	-	PUNCT
ejpam-6783	202	7	distance	distance	NOUN
ejpam-6783	202	8	by	by	ADP
ejpam-6783	202	9	utilizing	utilize	VERB
ejpam-6783	202	10	simulation	simulation	NOUN
ejpam-6783	202	11	functions	function	NOUN
ejpam-6783	202	12	.	.	PUNCT
ejpam-6783	203	1	italian	italian	ADJ
ejpam-6783	203	2	journal	journal	NOUN
ejpam-6783	203	3	of	of	ADP
ejpam-6783	203	4	pure	pure	ADJ
ejpam-6783	203	5	and	and	CCONJ
ejpam-6783	203	6	applied	applied	ADJ
ejpam-6783	203	7	mathematics	mathematic	NOUN
ejpam-6783	203	8	,	,	PUNCT
ejpam-6783	203	9	(	(	PUNCT
ejpam-6783	203	10	43):185–196	43):185–196	NOUN
ejpam-6783	203	11	,	,	PUNCT
ejpam-6783	203	12	2017	2017	NUM
ejpam-6783	203	13	.	.	PUNCT
ejpam-6783	204	1	[	[	X
ejpam-6783	204	2	17	17	NUM
ejpam-6783	204	3	]	]	PUNCT
ejpam-6783	204	4	k.	k.	PROPN
ejpam-6783	204	5	abodayeh	abodayeh	PROPN
ejpam-6783	204	6	,	,	PUNCT
ejpam-6783	204	7	a.	a.	PROPN
ejpam-6783	204	8	bataihah	bataihah	PROPN
ejpam-6783	204	9	,	,	PUNCT
ejpam-6783	204	10	and	and	CCONJ
ejpam-6783	204	11	w.	w.	PROPN
ejpam-6783	204	12	shatanawi	shatanawi	PROPN
ejpam-6783	204	13	.	.	PUNCT
ejpam-6783	205	1	generalized	generalize	VERB
ejpam-6783	205	2	ω	ω	NUM
ejpam-6783	205	3	-	-	PUNCT
ejpam-6783	205	4	distance	distance	NOUN
ejpam-6783	205	5	mappings	mapping	NOUN
ejpam-6783	205	6	and	and	CCONJ
ejpam-6783	205	7	some	some	DET
ejpam-6783	205	8	fixed	fix	VERB
ejpam-6783	205	9	point	point	NOUN
ejpam-6783	205	10	theorems	theorem	NOUN
ejpam-6783	205	11	.	.	PUNCT
ejpam-6783	206	1	u.p.b	u.p.b	PROPN
ejpam-6783	206	2	.	.	PUNCT
ejpam-6783	207	1	scientific	scientific	ADJ
ejpam-6783	207	2	bulletin	bulletin	NOUN
ejpam-6783	207	3	,	,	PUNCT
ejpam-6783	207	4	series	series	PROPN
ejpam-6783	207	5	a	a	PROPN
ejpam-6783	207	6	,	,	PUNCT
ejpam-6783	207	7	79:223–232	79:223–232	PROPN
ejpam-6783	207	8	,	,	PUNCT
ejpam-6783	207	9	2017	2017	NUM
ejpam-6783	207	10	.	.	PUNCT
ejpam-6783	208	1	[	[	X
ejpam-6783	208	2	18	18	NUM
ejpam-6783	208	3	]	]	PUNCT
ejpam-6783	208	4	t.	t.	NOUN
ejpam-6783	208	5	qawasmeh	qawasmeh	NOUN
ejpam-6783	208	6	,	,	PUNCT
ejpam-6783	208	7	w.	w.	PROPN
ejpam-6783	208	8	shatanawi	shatanawi	PROPN
ejpam-6783	208	9	,	,	PUNCT
ejpam-6783	208	10	and	and	CCONJ
ejpam-6783	208	11	a.	a.	NOUN
ejpam-6783	208	12	bataihah	bataihah	PROPN
ejpam-6783	208	13	.	.	PUNCT
ejpam-6783	209	1	common	common	ADJ
ejpam-6783	209	2	fixed	fix	VERB
ejpam-6783	209	3	point	point	NOUN
ejpam-6783	209	4	results	result	NOUN
ejpam-6783	209	5	for	for	ADP
ejpam-6783	209	6	rational	rational	ADJ
ejpam-6783	209	7	(	(	PUNCT
ejpam-6783	209	8	α	α	NOUN
ejpam-6783	209	9	,	,	PUNCT
ejpam-6783	209	10	β)ϕ-mω	β)ϕ-mω	NOUN
ejpam-6783	209	11	contractions	contraction	NOUN
ejpam-6783	209	12	in	in	ADP
ejpam-6783	209	13	complete	complete	ADJ
ejpam-6783	209	14	quasi	quasi	ADJ
ejpam-6783	209	15	metric	metric	ADJ
ejpam-6783	209	16	spaces	space	NOUN
ejpam-6783	209	17	.	.	PUNCT
ejpam-6783	210	1	mathematics	mathematic	NOUN
ejpam-6783	210	2	,	,	PUNCT
ejpam-6783	210	3	7(5):392	7(5):392	NUM
ejpam-6783	210	4	,	,	PUNCT
ejpam-6783	210	5	2017	2017	NUM
ejpam-6783	210	6	.	.	PUNCT
ejpam-6783	211	1	[	[	X
ejpam-6783	211	2	19	19	NUM
ejpam-6783	211	3	]	]	PUNCT
ejpam-6783	211	4	a.	a.	NOUN
ejpam-6783	211	5	rabaiah	rabaiah	PROPN
ejpam-6783	211	6	,	,	PUNCT
ejpam-6783	211	7	a.	a.	NOUN
ejpam-6783	211	8	tallafha	tallafha	NOUN
ejpam-6783	211	9	,	,	PUNCT
ejpam-6783	211	10	and	and	CCONJ
ejpam-6783	211	11	w.	w.	PROPN
ejpam-6783	211	12	shatanawi	shatanawi	PROPN
ejpam-6783	211	13	.	.	PUNCT
ejpam-6783	212	1	common	common	ADJ
ejpam-6783	212	2	fixed	fix	VERB
ejpam-6783	212	3	point	point	NOUN
ejpam-6783	212	4	results	result	NOUN
ejpam-6783	212	5	for	for	ADP
ejpam-6783	212	6	mappings	mapping	NOUN
ejpam-6783	212	7	under	under	ADP
ejpam-6783	212	8	nonlinear	nonlinear	ADJ
ejpam-6783	212	9	contraction	contraction	NOUN
ejpam-6783	212	10	of	of	ADP
ejpam-6783	212	11	cyclic	cyclic	ADJ
ejpam-6783	212	12	form	form	NOUN
ejpam-6783	212	13	in	in	ADP
ejpam-6783	212	14	b	b	NOUN
ejpam-6783	212	15	-	-	ADJ
ejpam-6783	212	16	metric	metric	ADJ
ejpam-6783	212	17	spaces	space	NOUN
ejpam-6783	212	18	.	.	PUNCT
ejpam-6783	213	1	advances	advance	NOUN
ejpam-6783	213	2	in	in	ADP
ejpam-6783	213	3	mathematics	mathematic	NOUN
ejpam-6783	213	4	:	:	PUNCT
ejpam-6783	213	5	scientific	scientific	ADJ
ejpam-6783	213	6	journal	journal	NOUN
ejpam-6783	213	7	,	,	PUNCT
ejpam-6783	213	8	26(2):289–301	26(2):289–301	PROPN
ejpam-6783	213	9	,	,	PUNCT
ejpam-6783	213	10	2021	2021	NUM
ejpam-6783	213	11	.	.	PUNCT
ejpam-6783	214	1	[	[	X
ejpam-6783	214	2	20	20	NUM
ejpam-6783	214	3	]	]	X
ejpam-6783	214	4	i.	i.	PROPN
ejpam-6783	214	5	abu	abu	PROPN
ejpam-6783	214	6	-	-	PUNCT
ejpam-6783	214	7	irwaq	irwaq	PROPN
ejpam-6783	214	8	,	,	PUNCT
ejpam-6783	214	9	w.	w.	PROPN
ejpam-6783	214	10	shatanawi	shatanawi	PROPN
ejpam-6783	214	11	,	,	PUNCT
ejpam-6783	214	12	a.	a.	NOUN
ejpam-6783	214	13	bataihah	bataihah	PROPN
ejpam-6783	214	14	,	,	PUNCT
ejpam-6783	214	15	and	and	CCONJ
ejpam-6783	214	16	i.	i.	PROPN
ejpam-6783	214	17	nuseir	nuseir	PROPN
ejpam-6783	214	18	.	.	PUNCT
ejpam-6783	215	1	fixed	fix	VERB
ejpam-6783	215	2	point	point	NOUN
ejpam-6783	215	3	results	result	NOUN
ejpam-6783	215	4	for	for	ADP
ejpam-6783	215	5	nonlinear	nonlinear	ADJ
ejpam-6783	215	6	contractions	contraction	NOUN
ejpam-6783	215	7	with	with	ADP
ejpam-6783	215	8	generalized	generalized	ADJ
ejpam-6783	215	9	ω	ω	NUM
ejpam-6783	215	10	-	-	PUNCT
ejpam-6783	215	11	distance	distance	NOUN
ejpam-6783	215	12	mappings	mapping	NOUN
ejpam-6783	215	13	.	.	PUNCT
ejpam-6783	216	1	u.p.b	u.p.b	ADJ
ejpam-6783	216	2	.	.	PUNCT
ejpam-6783	217	1	scientific	scientific	ADJ
ejpam-6783	217	2	bulletin	bulletin	NOUN
ejpam-6783	217	3	,	,	PUNCT
ejpam-6783	217	4	series	series	NOUN
ejpam-6783	217	5	a	a	NOUN
ejpam-6783	217	6	,	,	PUNCT
ejpam-6783	217	7	81(1):57–64	81(1):57–64	NUM
ejpam-6783	217	8	,	,	PUNCT
ejpam-6783	217	9	2019	2019	NUM
ejpam-6783	217	10	.	.	PUNCT
ejpam-6783	218	1	[	[	X
ejpam-6783	218	2	21	21	NUM
ejpam-6783	218	3	]	]	PUNCT
ejpam-6783	218	4	t.	t.	NOUN
ejpam-6783	218	5	qawasmeh	qawasmeh	NOUN
ejpam-6783	218	6	,	,	PUNCT
ejpam-6783	218	7	a.	a.	NOUN
ejpam-6783	218	8	bataihah	bataihah	PROPN
ejpam-6783	218	9	,	,	PUNCT
ejpam-6783	218	10	a.	a.	NOUN
ejpam-6783	218	11	a.	a.	NOUN
ejpam-6783	218	12	hazaymeh	hazaymeh	PROPN
ejpam-6783	218	13	,	,	PUNCT
ejpam-6783	218	14	r.	r.	PROPN
ejpam-6783	218	15	hatamleh	hatamleh	PROPN
ejpam-6783	218	16	,	,	PUNCT
ejpam-6783	218	17	r.	r.	PROPN
ejpam-6783	218	18	abdelrahim	abdelrahim	PROPN
ejpam-6783	218	19	,	,	PUNCT
ejpam-6783	218	20	and	and	CCONJ
ejpam-6783	218	21	a.	a.	NOUN
ejpam-6783	218	22	a.	a.	PROPN
ejpam-6783	218	23	hassan	hassan	PROPN
ejpam-6783	218	24	.	.	PUNCT
ejpam-6783	219	1	new	new	ADJ
ejpam-6783	219	2	fixed	fix	VERB
ejpam-6783	219	3	point	point	NOUN
ejpam-6783	219	4	results	result	NOUN
ejpam-6783	219	5	for	for	ADP
ejpam-6783	219	6	gamma	gamma	NOUN
ejpam-6783	219	7	interpolative	interpolative	ADJ
ejpam-6783	219	8	contractions	contraction	NOUN
ejpam-6783	219	9	through	through	ADP
ejpam-6783	219	10	gamma	gamma	NOUN
ejpam-6783	219	11	distance	distance	NOUN
ejpam-6783	219	12	mappings	mapping	NOUN
ejpam-6783	219	13	.	.	PUNCT
ejpam-6783	220	1	wseas	wseas	NOUN
ejpam-6783	220	2	transactions	transaction	NOUN
ejpam-6783	220	3	on	on	ADP
ejpam-6783	220	4	mathematics	mathematic	NOUN
ejpam-6783	220	5	,	,	PUNCT
ejpam-6783	220	6	24:424–430	24:424–430	PROPN
ejpam-6783	220	7	,	,	PUNCT
ejpam-6783	220	8	2025	2025	NUM
ejpam-6783	220	9	.	.	PUNCT
ejpam-6783	221	1	[	[	X
ejpam-6783	221	2	22	22	NUM
ejpam-6783	221	3	]	]	X
ejpam-6783	221	4	s.	s.	PROPN
ejpam-6783	221	5	czerwik	czerwik	PROPN
ejpam-6783	221	6	.	.	PUNCT
ejpam-6783	222	1	contraction	contraction	NOUN
ejpam-6783	222	2	mappings	mapping	NOUN
ejpam-6783	222	3	in	in	ADP
ejpam-6783	222	4	b	b	NOUN
ejpam-6783	222	5	-	-	ADJ
ejpam-6783	222	6	metric	metric	ADJ
ejpam-6783	222	7	spaces	space	NOUN
ejpam-6783	222	8	.	.	PUNCT
ejpam-6783	223	1	acta	acta	PROPN
ejpam-6783	223	2	mathematica	mathematica	PROPN
ejpam-6783	223	3	et	et	PROPN
ejpam-6783	223	4	informatica	informatica	PROPN
ejpam-6783	223	5	universitatis	universitatis	PROPN
ejpam-6783	223	6	ostraviensis	ostraviensis	PROPN
ejpam-6783	223	7	,	,	PUNCT
ejpam-6783	223	8	1:5–11	1:5–11	NUM
ejpam-6783	223	9	,	,	PUNCT
ejpam-6783	223	10	1993	1993	NUM
ejpam-6783	223	11	.	.	PUNCT
ejpam-6783	224	1	[	[	X
ejpam-6783	224	2	23	23	NUM
ejpam-6783	224	3	]	]	PUNCT
ejpam-6783	224	4	a.	a.	NOUN
ejpam-6783	224	5	bataihah	bataihah	PROPN
ejpam-6783	224	6	,	,	PUNCT
ejpam-6783	224	7	t.	t.	NOUN
ejpam-6783	224	8	qawasmeh	qawasmeh	NOUN
ejpam-6783	224	9	,	,	PUNCT
ejpam-6783	224	10	i.	i.	PROPN
ejpam-6783	224	11	batiha	batiha	PROPN
ejpam-6783	224	12	,	,	PUNCT
ejpam-6783	224	13	i.	i.	PROPN
ejpam-6783	224	14	m.	m.	PROPN
ejpam-6783	224	15	batiha	batiha	PROPN
ejpam-6783	224	16	,	,	PUNCT
ejpam-6783	224	17	and	and	CCONJ
ejpam-6783	224	18	t.	t.	PROPN
ejpam-6783	224	19	abdeljawad	abdeljawad	NOUN
ejpam-6783	224	20	.	.	PUNCT
ejpam-6783	225	1	gamma	gamma	NOUN
ejpam-6783	225	2	distance	distance	NOUN
ejpam-6783	225	3	mappings	mapping	NOUN
ejpam-6783	225	4	with	with	ADP
ejpam-6783	225	5	application	application	NOUN
ejpam-6783	225	6	to	to	ADP
ejpam-6783	225	7	fractional	fractional	ADJ
ejpam-6783	225	8	boundary	boundary	ADJ
ejpam-6783	225	9	differential	differential	NOUN
ejpam-6783	225	10	equation	equation	NOUN
ejpam-6783	225	11	.	.	PUNCT
ejpam-6783	226	1	journal	journal	PROPN
ejpam-6783	226	2	of	of	ADP
ejpam-6783	226	3	mathematical	mathematical	ADJ
ejpam-6783	226	4	analysis	analysis	NOUN
ejpam-6783	226	5	,	,	PUNCT
ejpam-6783	226	6	15(5):99–106	15(5):99–106	NUM
ejpam-6783	226	7	,	,	PUNCT
ejpam-6783	226	8	2024	2024	NUM
ejpam-6783	226	9	.	.	PUNCT
ejpam-6783	227	1	[	[	X
ejpam-6783	227	2	24	24	NUM
ejpam-6783	227	3	]	]	PUNCT
ejpam-6783	227	4	a.	a.	PROPN
ejpam-6783	227	5	al	al	PROPN
ejpam-6783	227	6	-	-	PUNCT
ejpam-6783	227	7	zghoul	zghoul	PROPN
ejpam-6783	227	8	,	,	PUNCT
ejpam-6783	227	9	t.	t.	NOUN
ejpam-6783	227	10	qawasmeh	qawasmeh	NOUN
ejpam-6783	227	11	,	,	PUNCT
ejpam-6783	227	12	r.	r.	PROPN
ejpam-6783	227	13	hatamleh	hatamleh	PROPN
ejpam-6783	227	14	,	,	PUNCT
ejpam-6783	227	15	and	and	CCONJ
ejpam-6783	227	16	a.	a.	NOUN
ejpam-6783	227	17	alhazimeh	alhazimeh	NOUN
ejpam-6783	227	18	.	.	PUNCT
ejpam-6783	228	1	a	a	DET
ejpam-6783	228	2	new	new	ADJ
ejpam-6783	228	3	contraction	contraction	NOUN
ejpam-6783	228	4	by	by	ADP
ejpam-6783	228	5	utilizing	utilize	VERB
ejpam-6783	228	6	h	h	NOUN
ejpam-6783	228	7	-	-	PUNCT
ejpam-6783	228	8	simulation	simulation	NOUN
ejpam-6783	228	9	functions	function	NOUN
ejpam-6783	228	10	and	and	CCONJ
ejpam-6783	228	11	ω	ω	VERB
ejpam-6783	228	12	-	-	PUNCT
ejpam-6783	228	13	distance	distance	NOUN
ejpam-6783	228	14	mappings	mapping	NOUN
ejpam-6783	228	15	in	in	ADP
ejpam-6783	228	16	the	the	DET
ejpam-6783	228	17	frame	frame	NOUN
ejpam-6783	228	18	of	of	ADP
ejpam-6783	228	19	complete	complete	ADJ
ejpam-6783	228	20	g	g	NOUN
ejpam-6783	228	21	-	-	PUNCT
ejpam-6783	228	22	metric	metric	ADJ
ejpam-6783	228	23	spaces	space	NOUN
ejpam-6783	228	24	.	.	PUNCT
ejpam-6783	229	1	journal	journal	NOUN
ejpam-6783	229	2	of	of	ADP
ejpam-6783	229	3	applied	apply	VERB
ejpam-6783	229	4	mathematics	mathematic	NOUN
ejpam-6783	229	5	and	and	CCONJ
ejpam-6783	229	6	informatics	informatic	NOUN
ejpam-6783	229	7	,	,	PUNCT
ejpam-6783	229	8	42(4):749–759	42(4):749–759	PROPN
ejpam-6783	229	9	,	,	PUNCT
ejpam-6783	229	10	2024	2024	NUM
ejpam-6783	229	11	.	.	PUNCT
ejpam-6783	230	1	[	[	X
ejpam-6783	230	2	25	25	NUM
ejpam-6783	230	3	]	]	X
ejpam-6783	230	4	y.	y.	PROPN
ejpam-6783	230	5	j.	j.	PROPN
ejpam-6783	230	6	cho	cho	PROPN
ejpam-6783	230	7	,	,	PUNCT
ejpam-6783	230	8	p.	p.	NOUN
ejpam-6783	230	9	p.	p.	PROPN
ejpam-6783	231	1	murthy	murthy	ADJ
ejpam-6783	231	2	,	,	PUNCT
ejpam-6783	231	3	and	and	CCONJ
ejpam-6783	231	4	g.	g.	PROPN
ejpam-6783	231	5	jungck	jungck	PROPN
ejpam-6783	231	6	.	.	PUNCT
ejpam-6783	232	1	a	a	DET
ejpam-6783	232	2	common	common	ADJ
ejpam-6783	232	3	fixed	fix	VERB
ejpam-6783	232	4	point	point	NOUN
ejpam-6783	232	5	theorem	theorem	NOUN
ejpam-6783	232	6	of	of	ADP
ejpam-6783	232	7	meir	meir	PROPN
ejpam-6783	232	8	and	and	CCONJ
ejpam-6783	232	9	keeler	keeler	PROPN
ejpam-6783	232	10	type	type	NOUN
ejpam-6783	232	11	.	.	PUNCT
ejpam-6783	233	1	international	international	ADJ
ejpam-6783	233	2	journal	journal	PROPN
ejpam-6783	233	3	of	of	ADP
ejpam-6783	233	4	mathematical	mathematical	ADJ
ejpam-6783	233	5	sciences	science	NOUN
ejpam-6783	233	6	,	,	PUNCT
ejpam-6783	233	7	16:669–674	16:669–674	NUM
ejpam-6783	233	8	,	,	PUNCT
ejpam-6783	233	9	1993	1993	NUM
ejpam-6783	233	10	.	.	PUNCT
ejpam-6783	234	1	[	[	X
ejpam-6783	234	2	26	26	NUM
ejpam-6783	234	3	]	]	X
ejpam-6783	234	4	r.	r.	PROPN
ejpam-6783	234	5	o.	o.	PROPN
ejpam-6783	234	6	davies	davies	PROPN
ejpam-6783	234	7	and	and	CCONJ
ejpam-6783	234	8	s.	s.	PROPN
ejpam-6783	234	9	sessa	sessa	PROPN
ejpam-6783	234	10	.	.	PUNCT
ejpam-6783	235	1	a	a	DET
ejpam-6783	235	2	common	common	ADJ
ejpam-6783	235	3	fixed	fix	VERB
ejpam-6783	235	4	point	point	NOUN
ejpam-6783	235	5	theorem	theorem	NOUN
ejpam-6783	235	6	of	of	ADP
ejpam-6783	235	7	gregus	gregus	NOUN
ejpam-6783	235	8	type	type	NOUN
ejpam-6783	235	9	for	for	ADP
ejpam-6783	235	10	compatible	compatible	ADJ
ejpam-6783	235	11	mappings	mapping	NOUN
ejpam-6783	235	12	.	.	PUNCT
ejpam-6783	236	1	facta	facta	PROPN
ejpam-6783	236	2	universitatis	universitatis	PROPN
ejpam-6783	236	3	(	(	PUNCT
ejpam-6783	236	4	nǐs	nǐs	NOUN
ejpam-6783	236	5	)	)	PUNCT
ejpam-6783	236	6	series	series	NOUN
ejpam-6783	236	7	:	:	PUNCT
ejpam-6783	236	8	mathematics	mathematic	NOUN
ejpam-6783	236	9	and	and	CCONJ
ejpam-6783	236	10	informatics	informatic	NOUN
ejpam-6783	236	11	,	,	PUNCT
ejpam-6783	236	12	7:51–58	7:51–58	NOUN
ejpam-6783	236	13	,	,	PUNCT
ejpam-6783	236	14	1992	1992	NUM
ejpam-6783	236	15	.	.	PUNCT
ejpam-6783	237	1	[	[	X
ejpam-6783	237	2	27	27	NUM
ejpam-6783	237	3	]	]	X
ejpam-6783	237	4	b.	b.	PROPN
ejpam-6783	237	5	c.	c.	PROPN
ejpam-6783	237	6	dhage	dhage	PROPN
ejpam-6783	237	7	.	.	PUNCT
ejpam-6783	238	1	generalized	generalize	VERB
ejpam-6783	238	2	metric	metric	ADJ
ejpam-6783	238	3	spaces	space	NOUN
ejpam-6783	238	4	and	and	CCONJ
ejpam-6783	238	5	mappings	mapping	NOUN
ejpam-6783	238	6	with	with	ADP
ejpam-6783	238	7	fixed	fix	VERB
ejpam-6783	238	8	points	point	NOUN
ejpam-6783	238	9	.	.	PUNCT
ejpam-6783	239	1	bulletin	bulletin	NOUN
ejpam-6783	239	2	of	of	ADP
ejpam-6783	239	3	the	the	DET
ejpam-6783	239	4	calcutta	calcutta	PROPN
ejpam-6783	239	5	mathematical	mathematical	ADJ
ejpam-6783	239	6	society	society	NOUN
ejpam-6783	239	7	,	,	PUNCT
ejpam-6783	239	8	84:329–336	84:329–336	NUM
ejpam-6783	239	9	,	,	PUNCT
ejpam-6783	239	10	1992	1992	NUM
ejpam-6783	239	11	.	.	PUNCT
ejpam-6783	240	1	[	[	X
ejpam-6783	240	2	28	28	NUM
ejpam-6783	240	3	]	]	X
ejpam-6783	240	4	t.	t.	NOUN
ejpam-6783	240	5	qawasmeh	qawasmeh	NOUN
ejpam-6783	240	6	.	.	PUNCT
ejpam-6783	241	1	h	h	NOUN
ejpam-6783	241	2	-	-	PUNCT
ejpam-6783	241	3	simulation	simulation	NOUN
ejpam-6783	241	4	functions	function	NOUN
ejpam-6783	241	5	and	and	CCONJ
ejpam-6783	241	6	ωb	ωb	NOUN
ejpam-6783	241	7	-	-	PUNCT
ejpam-6783	241	8	distance	distance	NOUN
ejpam-6783	241	9	mappings	mapping	NOUN
ejpam-6783	241	10	in	in	ADP
ejpam-6783	241	11	the	the	DET
ejpam-6783	241	12	setting	setting	NOUN
ejpam-6783	241	13	of	of	ADP
ejpam-6783	241	14	gb	gb	ADV
ejpam-6783	241	15	-	-	PUNCT
ejpam-6783	241	16	metric	metric	ADJ
ejpam-6783	241	17	spaces	space	NOUN
ejpam-6783	241	18	and	and	CCONJ
ejpam-6783	241	19	application	application	NOUN
ejpam-6783	241	20	.	.	PUNCT
ejpam-6783	242	1	nonlinear	nonlinear	ADJ
ejpam-6783	242	2	functional	functional	ADJ
ejpam-6783	242	3	analysis	analysis	NOUN
ejpam-6783	242	4	and	and	CCONJ
ejpam-6783	242	5	applications	application	NOUN
ejpam-6783	242	6	,	,	PUNCT
ejpam-6783	242	7	28(2):557–570	28(2):557–570	NOUN
ejpam-6783	242	8	,	,	PUNCT
ejpam-6783	242	9	2023	2023	NUM
ejpam-6783	242	10	.	.	PUNCT
ejpam-6783	243	1	[	[	X
ejpam-6783	243	2	29	29	NUM
ejpam-6783	243	3	]	]	PUNCT
ejpam-6783	243	4	a.	a.	NOUN
ejpam-6783	243	5	a.	a.	PROPN
ejpam-6783	243	6	r.	r.	PROPN
ejpam-6783	243	7	m.	m.	PROPN
ejpam-6783	243	8	malkawi	malkawi	PROPN
ejpam-6783	243	9	.	.	PUNCT
ejpam-6783	243	10	fixed	fix	VERB
ejpam-6783	243	11	point	point	NOUN
ejpam-6783	243	12	theorem	theorem	VERB
ejpam-6783	243	13	in	in	ADP
ejpam-6783	243	14	mr	mr	PROPN
ejpam-6783	243	15	-	-	PUNCT
ejpam-6783	243	16	metric	metric	ADJ
ejpam-6783	243	17	spaces	space	NOUN
ejpam-6783	243	18	via	via	ADP
ejpam-6783	243	19	integral	integral	ADJ
ejpam-6783	243	20	type	type	NOUN
ejpam-6783	243	21	contraction	contraction	NOUN
ejpam-6783	243	22	.	.	PUNCT
ejpam-6783	244	1	wseas	wseas	VERB
ejpam-6783	244	2	transactions	transaction	NOUN
ejpam-6783	244	3	on	on	ADP
ejpam-6783	244	4	mathematics	mathematic	NOUN
ejpam-6783	244	5	,	,	PUNCT
ejpam-6783	244	6	24:295–299	24:295–299	PROPN
ejpam-6783	244	7	,	,	PUNCT
ejpam-6783	244	8	2025	2025	NUM
ejpam-6783	244	9	.	.	PUNCT
ejpam-6783	245	1	[	[	X
ejpam-6783	245	2	30	30	NUM
ejpam-6783	245	3	]	]	PUNCT
ejpam-6783	245	4	t.	t.	NOUN
ejpam-6783	245	5	qawasmeh	qawasmeh	NOUN
ejpam-6783	245	6	and	and	CCONJ
ejpam-6783	245	7	a.	a.	NOUN
ejpam-6783	245	8	malkawi	malkawi	PROPN
ejpam-6783	245	9	.	.	PUNCT
ejpam-6783	245	10	fixed	fix	VERB
ejpam-6783	245	11	point	point	NOUN
ejpam-6783	245	12	theory	theory	NOUN
ejpam-6783	245	13	in	in	ADP
ejpam-6783	245	14	mr	mr	PROPN
ejpam-6783	245	15	-	-	PUNCT
ejpam-6783	245	16	metric	metric	ADJ
ejpam-6783	245	17	spaces	space	NOUN
ejpam-6783	245	18	:	:	PUNCT
ejpam-6783	245	19	fundamental	fundamental	ADJ
ejpam-6783	245	20	theorems	theorem	NOUN
ejpam-6783	245	21	and	and	CCONJ
ejpam-6783	245	22	applications	application	NOUN
ejpam-6783	245	23	to	to	ADP
ejpam-6783	245	24	integral	integral	ADJ
ejpam-6783	245	25	equations	equation	NOUN
ejpam-6783	245	26	and	and	CCONJ
ejpam-6783	245	27	neutron	neutron	NOUN
ejpam-6783	245	28	transport	transport	NOUN
ejpam-6783	245	29	.	.	PUNCT
ejpam-6783	246	1	european	european	ADJ
ejpam-6783	246	2	journal	journal	PROPN
ejpam-6783	246	3	of	of	ADP
ejpam-6783	246	4	pure	pure	ADJ
ejpam-6783	246	5	and	and	CCONJ
ejpam-6783	246	6	applied	applied	ADJ
ejpam-6783	246	7	mathematics	mathematic	NOUN
ejpam-6783	246	8	,	,	PUNCT
ejpam-6783	246	9	18(3):6440	18(3):6440	NUM
ejpam-6783	246	10	,	,	PUNCT
ejpam-6783	246	11	2025	2025	NUM
ejpam-6783	246	12	.	.	PUNCT
ejpam-6783	247	1	a.	a.	NOUN
ejpam-6783	247	2	malkawi	malkawi	PROPN
ejpam-6783	247	3	,	,	PUNCT
ejpam-6783	247	4	a.	a.	PROPN
ejpam-6783	247	5	rabaiah	rabaiah	PROPN
ejpam-6783	247	6	/	/	SYM
ejpam-6783	247	7	eur	eur	PROPN
ejpam-6783	247	8	.	.	PUNCT
ejpam-6783	248	1	j.	j.	PROPN
ejpam-6783	248	2	pure	pure	PROPN
ejpam-6783	248	3	appl	appl	PROPN
ejpam-6783	248	4	.	.	PROPN
ejpam-6783	248	5	math	math	PROPN
ejpam-6783	248	6	,	,	PUNCT
ejpam-6783	248	7	18	18	NUM
ejpam-6783	248	8	(	(	PUNCT
ejpam-6783	248	9	4	4	NUM
ejpam-6783	248	10	)	)	PUNCT
ejpam-6783	248	11	(	(	PUNCT
ejpam-6783	248	12	2025	2025	NUM
ejpam-6783	248	13	)	)	PUNCT
ejpam-6783	248	14	,	,	PUNCT
ejpam-6783	248	15	6783	6783	NUM
ejpam-6783	248	16	10	10	NUM
ejpam-6783	248	17	of	of	ADP
ejpam-6783	248	18	10	10	NUM
ejpam-6783	248	19	[	[	X
ejpam-6783	248	20	31	31	NUM
ejpam-6783	248	21	]	]	PUNCT
ejpam-6783	248	22	a.	a.	NOUN
ejpam-6783	248	23	malkawi	malkawi	NOUN
ejpam-6783	248	24	and	and	CCONJ
ejpam-6783	248	25	a.	a.	PROPN
ejpam-6783	248	26	rabaiah	rabaiah	PROPN
ejpam-6783	248	27	.	.	PUNCT
ejpam-6783	249	1	compactness	compactness	NOUN
ejpam-6783	249	2	and	and	CCONJ
ejpam-6783	249	3	separability	separability	NOUN
ejpam-6783	249	4	in	in	ADP
ejpam-6783	249	5	mr	mr	PROPN
ejpam-6783	249	6	-	-	PUNCT
ejpam-6783	249	7	metric	metric	ADJ
ejpam-6783	249	8	spaces	space	NOUN
ejpam-6783	249	9	with	with	ADP
ejpam-6783	249	10	applications	application	NOUN
ejpam-6783	249	11	to	to	ADP
ejpam-6783	249	12	deep	deep	ADJ
ejpam-6783	249	13	learning	learning	NOUN
ejpam-6783	249	14	.	.	PUNCT
ejpam-6783	250	1	european	european	ADJ
ejpam-6783	250	2	journal	journal	PROPN
ejpam-6783	250	3	of	of	ADP
ejpam-6783	250	4	pure	pure	ADJ
ejpam-6783	250	5	and	and	CCONJ
ejpam-6783	250	6	applied	applied	ADJ
ejpam-6783	250	7	mathematics	mathematic	NOUN
ejpam-6783	250	8	,	,	PUNCT
ejpam-6783	250	9	18(3):6592	18(3):6592	NUM
ejpam-6783	250	10	,	,	PUNCT
ejpam-6783	250	11	2025	2025	NUM
ejpam-6783	250	12	.	.	PUNCT
ejpam-6783	251	1	[	[	X
ejpam-6783	251	2	32	32	NUM
ejpam-6783	251	3	]	]	PUNCT
ejpam-6783	251	4	t.	t.	NOUN
ejpam-6783	251	5	qawasmeh	qawasmeh	NOUN
ejpam-6783	251	6	.	.	PUNCT
ejpam-6783	252	1	(	(	PUNCT
ejpam-6783	252	2	h	h	NOUN
ejpam-6783	252	3	,	,	PUNCT
ejpam-6783	252	4	ωb)-interpolative	ωb)-interpolative	ADJ
ejpam-6783	252	5	contractions	contraction	NOUN
ejpam-6783	252	6	in	in	ADP
ejpam-6783	252	7	ωb	ωb	NOUN
ejpam-6783	252	8	-	-	PUNCT
ejpam-6783	252	9	distance	distance	NOUN
ejpam-6783	252	10	mappings	mapping	NOUN
ejpam-6783	252	11	with	with	ADP
ejpam-6783	252	12	applications	application	NOUN
ejpam-6783	252	13	.	.	PUNCT
ejpam-6783	253	1	european	european	ADJ
ejpam-6783	253	2	journal	journal	PROPN
ejpam-6783	253	3	of	of	ADP
ejpam-6783	253	4	pure	pure	ADJ
ejpam-6783	253	5	and	and	CCONJ
ejpam-6783	253	6	applied	applied	ADJ
ejpam-6783	253	7	mathematics	mathematic	NOUN
ejpam-6783	253	8	,	,	PUNCT
ejpam-6783	253	9	16(3):1717–1730	16(3):1717–1730	NUM
ejpam-6783	253	10	,	,	PUNCT
ejpam-6783	253	11	2023	2023	NUM
ejpam-6783	253	12	.	.	PUNCT
ejpam-6783	254	1	[	[	X
ejpam-6783	254	2	33	33	NUM
ejpam-6783	254	3	]	]	X
ejpam-6783	254	4	g.	g.	PROPN
ejpam-6783	254	5	gharib	gharib	PROPN
ejpam-6783	254	6	,	,	PUNCT
ejpam-6783	254	7	a.	a.	PROPN
ejpam-6783	254	8	malkawi	malkawi	PROPN
ejpam-6783	254	9	,	,	PUNCT
ejpam-6783	254	10	a.	a.	PROPN
ejpam-6783	254	11	rabaiah	rabaiah	PROPN
ejpam-6783	254	12	,	,	PUNCT
ejpam-6783	254	13	w.	w.	PROPN
ejpam-6783	254	14	shatanawi	shatanawi	PROPN
ejpam-6783	254	15	,	,	PUNCT
ejpam-6783	254	16	and	and	CCONJ
ejpam-6783	254	17	m.	m.	NOUN
ejpam-6783	254	18	alsauodi	alsauodi	PROPN
ejpam-6783	254	19	.	.	PUNCT
ejpam-6783	255	1	a	a	DET
ejpam-6783	255	2	common	common	ADJ
ejpam-6783	255	3	fixed	fix	VERB
ejpam-6783	255	4	point	point	NOUN
ejpam-6783	255	5	theorem	theorem	VERB
ejpam-6783	255	6	in	in	ADP
ejpam-6783	255	7	m*-metric	m*-metric	ADV
ejpam-6783	255	8	space	space	NOUN
ejpam-6783	255	9	and	and	CCONJ
ejpam-6783	255	10	an	an	DET
ejpam-6783	255	11	application	application	NOUN
ejpam-6783	255	12	.	.	PUNCT
ejpam-6783	256	1	nonlinear	nonlinear	ADJ
ejpam-6783	256	2	functional	functional	ADJ
ejpam-6783	256	3	analysis	analysis	NOUN
ejpam-6783	256	4	and	and	CCONJ
ejpam-6783	256	5	applications	application	NOUN
ejpam-6783	256	6	,	,	PUNCT
ejpam-6783	256	7	27(2):289–308	27(2):289–308	NUM
ejpam-6783	256	8	,	,	PUNCT
ejpam-6783	256	9	2022	2022	NUM
ejpam-6783	256	10	.	.	PUNCT
ejpam-6783	257	1	[	[	X
ejpam-6783	257	2	34	34	NUM
ejpam-6783	257	3	]	]	PUNCT
ejpam-6783	257	4	abed	abed	PROPN
ejpam-6783	257	5	al	al	PROPN
ejpam-6783	257	6	-	-	PUNCT
ejpam-6783	257	7	rahman	rahman	PROPN
ejpam-6783	257	8	m.	m.	NOUN
ejpam-6783	257	9	malkawi	malkawi	PROPN
ejpam-6783	257	10	and	and	CCONJ
ejpam-6783	257	11	ayat	ayat	PROPN
ejpam-6783	257	12	m.	m.	PROPN
ejpam-6783	257	13	rabaiah	rabaiah	PROPN
ejpam-6783	257	14	.	.	PUNCT
ejpam-6783	258	1	mr	mr	PROPN
ejpam-6783	258	2	-	-	PUNCT
ejpam-6783	258	3	metric	metric	ADJ
ejpam-6783	258	4	spaces	space	NOUN
ejpam-6783	258	5	:	:	PUNCT
ejpam-6783	258	6	theory	theory	NOUN
ejpam-6783	258	7	and	and	CCONJ
ejpam-6783	258	8	applications	application	NOUN
ejpam-6783	258	9	in	in	ADP
ejpam-6783	258	10	fractional	fractional	ADJ
ejpam-6783	258	11	calculus	calculus	NOUN
ejpam-6783	258	12	and	and	CCONJ
ejpam-6783	258	13	fixed	fix	VERB
ejpam-6783	258	14	-	-	PUNCT
ejpam-6783	258	15	point	point	NOUN
ejpam-6783	258	16	theorems	theorem	NOUN
ejpam-6783	258	17	.	.	PUNCT
ejpam-6783	258	18	neutrosophic	neutrosophic	ADJ
ejpam-6783	258	19	sets	set	NOUN
ejpam-6783	258	20	and	and	CCONJ
ejpam-6783	258	21	systems	system	NOUN
ejpam-6783	258	22	,	,	PUNCT
ejpam-6783	258	23	90:1103–1121	90:1103–1121	NUM
ejpam-6783	258	24	,	,	PUNCT
ejpam-6783	258	25	2025	2025	NUM
ejpam-6783	258	26	.	.	PUNCT
ejpam-6783	259	1	[	[	X
ejpam-6783	259	2	35	35	NUM
ejpam-6783	259	3	]	]	PUNCT
ejpam-6783	259	4	abed	abed	PROPN
ejpam-6783	259	5	al	al	PROPN
ejpam-6783	259	6	-	-	PUNCT
ejpam-6783	259	7	rahman	rahman	PROPN
ejpam-6783	259	8	m.	m.	NOUN
ejpam-6783	259	9	malkawi	malkawi	PROPN
ejpam-6783	259	10	and	and	CCONJ
ejpam-6783	259	11	ayat	ayat	PROPN
ejpam-6783	259	12	m.	m.	PROPN
ejpam-6783	259	13	rabaiah	rabaiah	PROPN
ejpam-6783	259	14	.	.	PUNCT
ejpam-6783	260	1	mr	mr	PROPN
ejpam-6783	260	2	-	-	PUNCT
ejpam-6783	260	3	metric	metric	ADJ
ejpam-6783	260	4	spaces	space	NOUN
ejpam-6783	260	5	:	:	PUNCT
ejpam-6783	260	6	theory	theory	NOUN
ejpam-6783	260	7	and	and	CCONJ
ejpam-6783	260	8	applications	application	NOUN
ejpam-6783	260	9	in	in	ADP
ejpam-6783	260	10	fractional	fractional	ADJ
ejpam-6783	260	11	calculus	calculus	NOUN
ejpam-6783	260	12	and	and	CCONJ
ejpam-6783	260	13	fixed	fix	VERB
ejpam-6783	260	14	-	-	PUNCT
ejpam-6783	260	15	point	point	NOUN
ejpam-6783	260	16	theorems	theorem	NOUN
ejpam-6783	260	17	.	.	PUNCT
ejpam-6783	260	18	neutrosophic	neutrosophic	ADJ
ejpam-6783	260	19	sets	set	NOUN
ejpam-6783	260	20	and	and	CCONJ
ejpam-6783	260	21	systems	system	NOUN
ejpam-6783	260	22	,	,	PUNCT
ejpam-6783	260	23	91:685–703	91:685–703	PROPN
ejpam-6783	260	24	,	,	PUNCT
ejpam-6783	260	25	2025	2025	NUM
ejpam-6783	260	26	.	.	PUNCT