id	sid	tid	token	lemma	pos
iajs-3943	1	1	361	361	NUM
iajs-3943	1	2	©	©	PROPN
iajs-3943	1	3	2025	2025	NUM
iajs-3943	1	4	the	the	DET
iajs-3943	1	5	author(s	author(s	NOUN
iajs-3943	1	6	)	)	PUNCT
iajs-3943	1	7	.	.	PUNCT
iajs-3943	2	1	published	publish	VERB
iajs-3943	2	2	by	by	ADP
iajs-3943	2	3	college	college	NOUN
iajs-3943	2	4	of	of	ADP
iajs-3943	2	5	education	education	NOUN
iajs-3943	2	6	for	for	ADP
iajs-3943	2	7	pure	pure	ADJ
iajs-3943	2	8	science	science	NOUN
iajs-3943	2	9	(	(	PUNCT
iajs-3943	2	10	ibn	ibn	PROPN
iajs-3943	2	11	al	al	PROPN
iajs-3943	2	12	-	-	PUNCT
iajs-3943	2	13	haitham	haitham	PROPN
iajs-3943	2	14	)	)	PUNCT
iajs-3943	2	15	,	,	PUNCT
iajs-3943	2	16	university	university	NOUN
iajs-3943	2	17	of	of	ADP
iajs-3943	2	18	baghdad	baghdad	PROPN
iajs-3943	2	19	.	.	PUNCT
iajs-3943	3	1	this	this	PRON
iajs-3943	3	2	is	be	AUX
iajs-3943	3	3	an	an	DET
iajs-3943	3	4	open	open	ADJ
iajs-3943	3	5	-	-	PUNCT
iajs-3943	3	6	access	access	NOUN
iajs-3943	3	7	article	article	NOUN
iajs-3943	3	8	distributed	distribute	VERB
iajs-3943	3	9	under	under	ADP
iajs-3943	3	10	the	the	DET
iajs-3943	3	11	terms	term	NOUN
iajs-3943	3	12	of	of	ADP
iajs-3943	3	13	the	the	DET
iajs-3943	3	14	creative	creative	ADJ
iajs-3943	3	15	commons	common	NOUN
iajs-3943	3	16	attribution	attribution	NOUN
iajs-3943	3	17	4.0	4.0	NUM
iajs-3943	3	18	international	international	ADJ
iajs-3943	3	19	license	license	NOUN
iajs-3943	3	20	generalization	generalization	NOUN
iajs-3943	3	21	of	of	ADP
iajs-3943	3	22	fixed	fix	VERB
iajs-3943	3	23	point	point	NOUN
iajs-3943	3	24	theorem	theorem	NOUN
iajs-3943	3	25	for	for	ADP
iajs-3943	3	26	contraction	contraction	NOUN
iajs-3943	3	27	mappings	mapping	NOUN
iajs-3943	3	28	in	in	ADP
iajs-3943	3	29	the	the	DET
iajs-3943	3	30	fuzzy	fuzzy	ADJ
iajs-3943	3	31	metric	metric	ADJ
iajs-3943	3	32	space	space	NOUN
iajs-3943	3	33	rusul	rusul	PROPN
iajs-3943	3	34	abdul	abdul	PROPN
iajs-3943	3	35	kadhim	kadhim	PROPN
iajs-3943	3	36	mohammed	mohammed	PROPN
iajs-3943	3	37	1	1	PROPN
iajs-3943	3	38	*	*	PROPN
iajs-3943	3	39	and	and	CCONJ
iajs-3943	3	40	zeana	zeana	PROPN
iajs-3943	3	41	zakai	zakai	PROPN
iajs-3943	3	42	jamil	jamil	PROPN
iajs-3943	3	43	2	2	NUM
iajs-3943	3	44	1,2	1,2	NUM
iajs-3943	3	45	department	department	NOUN
iajs-3943	3	46	of	of	ADP
iajs-3943	3	47	mathematics	mathematic	NOUN
iajs-3943	3	48	,	,	PUNCT
iajs-3943	3	49	collage	collage	NOUN
iajs-3943	3	50	of	of	ADP
iajs-3943	3	51	science	science	NOUN
iajs-3943	3	52	,	,	PUNCT
iajs-3943	3	53	university	university	NOUN
iajs-3943	3	54	of	of	ADP
iajs-3943	3	55	baghdad	baghdad	PROPN
iajs-3943	3	56	,	,	PUNCT
iajs-3943	3	57	baghdad	baghdad	PROPN
iajs-3943	3	58	,	,	PUNCT
iajs-3943	3	59	iraq	iraq	PROPN
iajs-3943	3	60	.	.	PUNCT
iajs-3943	4	1	*	*	PUNCT
iajs-3943	4	2	corresponding	correspond	VERB
iajs-3943	4	3	author	author	NOUN
iajs-3943	4	4	received	receive	VERB
iajs-3943	4	5	:	:	PUNCT
iajs-3943	4	6	18	18	NUM
iajs-3943	4	7	february	february	NOUN
iajs-3943	4	8	2024	2024	NUM
iajs-3943	4	9	accepted	accept	VERB
iajs-3943	4	10	:	:	PUNCT
iajs-3943	4	11	14	14	NUM
iajs-3943	4	12	august	august	PROPN
iajs-3943	4	13	2024	2024	NUM
iajs-3943	4	14	published	publish	VERB
iajs-3943	4	15	:	:	PUNCT
iajs-3943	4	16	20	20	NUM
iajs-3943	4	17	july	july	PROPN
iajs-3943	4	18	2025	2025	NUM
iajs-3943	4	19	doi.org/10.30526/38.3.3943	doi.org/10.30526/38.3.3943	NOUN
iajs-3943	4	20	abstract	abstract	ADV
iajs-3943	4	21	let	let	AUX
iajs-3943	4	22	be	be	AUX
iajs-3943	4	23	a	a	DET
iajs-3943	4	24	fuzzy	fuzzy	ADJ
iajs-3943	4	25	metric	metric	ADJ
iajs-3943	4	26	space	space	NOUN
iajs-3943	4	27	,	,	PUNCT
iajs-3943	4	28	where	where	SCONJ
iajs-3943	4	29	is	be	AUX
iajs-3943	4	30	a	a	DET
iajs-3943	4	31	non	non	ADJ
iajs-3943	4	32	-	-	ADJ
iajs-3943	4	33	empty	empty	ADJ
iajs-3943	4	34	set	set	NOUN
iajs-3943	4	35	,	,	PUNCT
iajs-3943	4	36	is	be	AUX
iajs-3943	4	37	a	a	DET
iajs-3943	4	38	fuzzy	fuzzy	ADJ
iajs-3943	4	39	set	set	NOUN
iajs-3943	4	40	on	on	ADP
iajs-3943	4	41	to	to	ADP
iajs-3943	4	42	[	[	X
iajs-3943	4	43	0,1	0,1	NUM
iajs-3943	4	44	]	]	PUNCT
iajs-3943	4	45	,	,	PUNCT
iajs-3943	4	46	and	and	CCONJ
iajs-3943	4	47	is	be	AUX
iajs-3943	4	48	a	a	DET
iajs-3943	4	49	continuous	continuous	ADJ
iajs-3943	4	50	-norm	-norm	NOUN
iajs-3943	4	51	,	,	PUNCT
iajs-3943	4	52	and	and	CCONJ
iajs-3943	4	53	let	let	VERB
iajs-3943	4	54	a	a	DET
iajs-3943	4	55	function	function	NOUN
iajs-3943	4	56	[	[	PUNCT
iajs-3943	4	57	]	]	X
iajs-3943	4	58	[	[	PUNCT
iajs-3943	4	59	]	]	X
iajs-3943	4	60	satisfies	satisfy	VERB
iajs-3943	4	61	the	the	DET
iajs-3943	4	62	following	follow	VERB
iajs-3943	4	63	conditions	condition	NOUN
iajs-3943	4	64	:	:	PUNCT
iajs-3943	4	65	the	the	DET
iajs-3943	4	66	function	function	NOUN
iajs-3943	4	67	is	be	AUX
iajs-3943	4	68	strictly	strictly	ADV
iajs-3943	4	69	decreasing	decrease	VERB
iajs-3943	4	70	and	and	CCONJ
iajs-3943	4	71	continuous	continuous	ADJ
iajs-3943	4	72	,	,	PUNCT
iajs-3943	4	73	if	if	SCONJ
iajs-3943	4	74	and	and	CCONJ
iajs-3943	4	75	only	only	ADV
iajs-3943	4	76	if	if	SCONJ
iajs-3943	4	77	equals	equal	VERB
iajs-3943	4	78	1	1	NUM
iajs-3943	4	79	and	and	CCONJ
iajs-3943	4	80	(	(	PUNCT
iajs-3943	4	81	)	)	PUNCT
iajs-3943	4	82	(	(	PUNCT
iajs-3943	4	83	)	)	PUNCT
iajs-3943	4	84	,	,	PUNCT
iajs-3943	4	85	where	where	SCONJ
iajs-3943	4	86	and	and	CCONJ
iajs-3943	4	87	in	in	ADP
iajs-3943	4	88	.	.	PUNCT
iajs-3943	5	1	which	which	PRON
iajs-3943	5	2	is	be	AUX
iajs-3943	5	3	called	call	VERB
iajs-3943	5	4	function	function	NOUN
iajs-3943	5	5	and	and	CCONJ
iajs-3943	5	6	use	use	VERB
iajs-3943	5	7	it	it	PRON
iajs-3943	5	8	to	to	PART
iajs-3943	5	9	define	define	VERB
iajs-3943	5	10	contraction	contraction	NOUN
iajs-3943	5	11	mappings	mapping	NOUN
iajs-3943	5	12	of	of	ADP
iajs-3943	5	13	type	type	NOUN
iajs-3943	5	14	and	and	CCONJ
iajs-3943	5	15	.	.	PUNCT
iajs-3943	6	1	in	in	ADP
iajs-3943	6	2	this	this	DET
iajs-3943	6	3	research	research	NOUN
iajs-3943	6	4	,	,	PUNCT
iajs-3943	6	5	we	we	PRON
iajs-3943	6	6	will	will	AUX
iajs-3943	6	7	complete	complete	VERB
iajs-3943	6	8	the	the	DET
iajs-3943	6	9	study	study	NOUN
iajs-3943	6	10	of	of	ADP
iajs-3943	6	11	many	many	ADJ
iajs-3943	6	12	authors	author	NOUN
iajs-3943	6	13	about	about	ADP
iajs-3943	6	14	fixed	fix	VERB
iajs-3943	6	15	point	point	NOUN
iajs-3943	6	16	theory	theory	NOUN
iajs-3943	6	17	on	on	ADP
iajs-3943	6	18	fuzzy	fuzzy	ADJ
iajs-3943	6	19	-metric	-metric	ADJ
iajs-3943	6	20	spaces	space	NOUN
iajs-3943	6	21	as	as	ADP
iajs-3943	6	22	and	and	CCONJ
iajs-3943	6	23	generalize	generalize	VERB
iajs-3943	6	24	some	some	DET
iajs-3943	6	25	results	result	NOUN
iajs-3943	6	26	on	on	ADP
iajs-3943	6	27	fixed	fix	VERB
iajs-3943	6	28	points	point	NOUN
iajs-3943	6	29	theory	theory	NOUN
iajs-3943	6	30	on	on	ADP
iajs-3943	6	31	fuzzy	fuzzy	ADJ
iajs-3943	6	32	metric	metric	ADJ
iajs-3943	6	33	spaces	space	NOUN
iajs-3943	6	34	to	to	PART
iajs-3943	6	35	fuzzy	fuzzy	ADJ
iajs-3943	6	36	metric	metric	ADJ
iajs-3943	6	37	spaces	space	NOUN
iajs-3943	6	38	with	with	ADP
iajs-3943	6	39	simplify	simplify	ADJ
iajs-3943	6	40	different	different	ADJ
iajs-3943	6	41	proofs	proof	NOUN
iajs-3943	6	42	.	.	PUNCT
iajs-3943	7	1	it	it	PRON
iajs-3943	7	2	was	be	AUX
iajs-3943	7	3	established	establish	VERB
iajs-3943	7	4	many	many	ADJ
iajs-3943	7	5	results	result	NOUN
iajs-3943	7	6	on	on	ADP
iajs-3943	7	7	compact	compact	ADJ
iajs-3943	7	8	fuzzy	fuzzy	ADJ
iajs-3943	7	9	metric	metric	ADJ
iajs-3943	7	10	spaces	space	NOUN
iajs-3943	7	11	and	and	CCONJ
iajs-3943	7	12	complete	complete	ADJ
iajs-3943	7	13	fuzzy	fuzzy	ADJ
iajs-3943	7	14	metric	metric	ADJ
iajs-3943	7	15	spaces	space	NOUN
iajs-3943	7	16	.	.	PUNCT
iajs-3943	8	1	we	we	PRON
iajs-3943	8	2	generalize	generalize	VERB
iajs-3943	8	3	results	result	NOUN
iajs-3943	8	4	of	of	ADP
iajs-3943	8	5	other	other	ADJ
iajs-3943	8	6	results	result	NOUN
iajs-3943	8	7	to	to	ADP
iajs-3943	8	8	fuzzy	fuzzy	ADJ
iajs-3943	8	9	-metric	-metric	ADJ
iajs-3943	8	10	spaces	space	NOUN
iajs-3943	8	11	by	by	ADP
iajs-3943	8	12	using	use	VERB
iajs-3943	8	13	–	–	PUNCT
iajs-3943	8	14	contraction	contraction	NOUN
iajs-3943	8	15	mappings	mapping	NOUN
iajs-3943	8	16	of	of	ADP
iajs-3943	8	17	type	type	NOUN
iajs-3943	8	18	and	and	CCONJ
iajs-3943	8	19	in	in	ADP
iajs-3943	8	20	both	both	CCONJ
iajs-3943	8	21	complete	complete	ADJ
iajs-3943	8	22	and	and	CCONJ
iajs-3943	8	23	compact	compact	ADJ
iajs-3943	8	24	fuzzy	fuzzy	ADJ
iajs-3943	8	25	-metric	-metric	ADJ
iajs-3943	8	26	spaces	space	NOUN
iajs-3943	8	27	to	to	PART
iajs-3943	8	28	show	show	VERB
iajs-3943	8	29	existence	existence	NOUN
iajs-3943	8	30	of	of	ADP
iajs-3943	8	31	fixed	fix	VERB
iajs-3943	8	32	points	point	NOUN
iajs-3943	8	33	for	for	ADP
iajs-3943	8	34	this	this	DET
iajs-3943	8	35	type	type	NOUN
iajs-3943	8	36	of	of	ADP
iajs-3943	8	37	self	self	NOUN
iajs-3943	8	38	-	-	PUNCT
iajs-3943	8	39	mapping	mapping	NOUN
iajs-3943	8	40	.	.	PUNCT
iajs-3943	9	1	keywords	keyword	NOUN
iajs-3943	9	2	:	:	PUNCT
iajs-3943	9	3	complete	complete	VERB
iajs-3943	9	4	fuzzy	fuzzy	ADJ
iajs-3943	9	5	metric	metric	ADJ
iajs-3943	9	6	space	space	NOUN
iajs-3943	9	7	,	,	PUNCT
iajs-3943	9	8	compact	compact	ADJ
iajs-3943	9	9	fuzzy	fuzzy	ADJ
iajs-3943	9	10	metric	metric	ADJ
iajs-3943	9	11	space	space	NOUN
iajs-3943	9	12	,	,	PUNCT
iajs-3943	9	13	fixed	fix	VERB
iajs-3943	9	14	point	point	NOUN
iajs-3943	9	15	.	.	PUNCT
iajs-3943	10	1	1.introduction	1.introduction	NUM
iajs-3943	10	2	the	the	DET
iajs-3943	10	3	definition	definition	NOUN
iajs-3943	10	4	of	of	ADP
iajs-3943	10	5	a	a	DET
iajs-3943	10	6	fuzzy	fuzzy	ADJ
iajs-3943	10	7	metric	metric	ADJ
iajs-3943	10	8	space	space	NOUN
iajs-3943	10	9	was	be	AUX
iajs-3943	10	10	defined	define	VERB
iajs-3943	10	11	by	by	ADP
iajs-3943	10	12	(	(	PUNCT
iajs-3943	10	13	1	1	NUM
iajs-3943	10	14	)	)	PUNCT
iajs-3943	10	15	to	to	ADP
iajs-3943	10	16	(	(	PUNCT
iajs-3943	10	17	5	5	NUM
iajs-3943	10	18	)	)	PUNCT
iajs-3943	10	19	defined	define	VERB
iajs-3943	10	20	the	the	DET
iajs-3943	10	21	completeness	completeness	NOUN
iajs-3943	10	22	of	of	ADP
iajs-3943	10	23	the	the	DET
iajs-3943	10	24	fuzzy	fuzzy	ADJ
iajs-3943	10	25	metric	metric	ADJ
iajs-3943	10	26	space	space	NOUN
iajs-3943	10	27	,	,	PUNCT
iajs-3943	10	28	bakhtin	bakhtin	NOUN
iajs-3943	10	29	in	in	ADP
iajs-3943	10	30	1989	1989	NUM
iajs-3943	10	31	present	present	ADJ
iajs-3943	10	32	the	the	DET
iajs-3943	10	33	concept	concept	NOUN
iajs-3943	10	34	of	of	ADP
iajs-3943	10	35	metric	metric	ADJ
iajs-3943	10	36	spaces	space	NOUN
iajs-3943	10	37	(	(	PUNCT
iajs-3943	10	38	6	6	NUM
iajs-3943	10	39	)	)	PUNCT
iajs-3943	10	40	.	.	PUNCT
iajs-3943	11	1	after	after	ADP
iajs-3943	11	2	that	that	PRON
iajs-3943	11	3	,	,	PUNCT
iajs-3943	11	4	(	(	PUNCT
iajs-3943	11	5	7	7	X
iajs-3943	11	6	)	)	PUNCT
iajs-3943	11	7	generalized	generalize	VERB
iajs-3943	11	8	a	a	DET
iajs-3943	11	9	metric	metric	ADJ
iajs-3943	11	10	spaces	space	NOUN
iajs-3943	11	11	and	and	CCONJ
iajs-3943	11	12	a	a	DET
iajs-3943	11	13	fuzzy	fuzzy	ADJ
iajs-3943	11	14	metric	metric	ADJ
iajs-3943	11	15	spaces	space	NOUN
iajs-3943	11	16	to	to	PART
iajs-3943	11	17	fuzzy	fuzzy	ADJ
iajs-3943	11	18	metric	metric	ADJ
iajs-3943	11	19	spaces	space	NOUN
iajs-3943	11	20	in	in	ADP
iajs-3943	11	21	2016	2016	NUM
iajs-3943	11	22	.	.	PUNCT
iajs-3943	12	1	(	(	PUNCT
iajs-3943	12	2	8)	8)	NUM
iajs-3943	12	3	used	use	VERB
iajs-3943	12	4	the	the	DET
iajs-3943	12	5	continuous	continuous	ADJ
iajs-3943	12	6	norm	norm	NOUN
iajs-3943	12	7	to	to	PART
iajs-3943	12	8	modify	modify	VERB
iajs-3943	12	9	the	the	DET
iajs-3943	12	10	idea	idea	NOUN
iajs-3943	12	11	of	of	ADP
iajs-3943	12	12	fuzzy	fuzzy	ADJ
iajs-3943	12	13	metric	metric	ADJ
iajs-3943	12	14	spaces	space	NOUN
iajs-3943	12	15	,	,	PUNCT
iajs-3943	12	16	and	and	CCONJ
iajs-3943	12	17	showed	show	VERB
iajs-3943	12	18	in	in	ADP
iajs-3943	12	19	the	the	DET
iajs-3943	12	20	completeness	completeness	NOUN
iajs-3943	12	21	definition	definition	NOUN
iajs-3943	12	22	of	of	ADP
iajs-3943	12	23	grabiec	grabiec	PROPN
iajs-3943	12	24	fails	fail	VERB
iajs-3943	12	25	to	to	PART
iajs-3943	12	26	make	make	VERB
iajs-3943	12	27	complete	complete	ADJ
iajs-3943	12	28	,	,	PUNCT
iajs-3943	12	29	then	then	ADV
iajs-3943	12	30	they	they	PRON
iajs-3943	12	31	introduced	introduce	VERB
iajs-3943	12	32	another	another	DET
iajs-3943	12	33	definition	definition	NOUN
iajs-3943	12	34	completeness	completeness	NOUN
iajs-3943	12	35	for	for	ADP
iajs-3943	12	36	which	which	PRON
iajs-3943	12	37	,	,	PUNCT
iajs-3943	12	38	with	with	ADP
iajs-3943	12	39	the	the	DET
iajs-3943	12	40	standard	standard	ADJ
iajs-3943	12	41	fuzzy	fuzzy	ADJ
iajs-3943	12	42	metric	metric	NOUN
iajs-3943	12	43	induced	induce	VERB
iajs-3943	12	44	by	by	ADP
iajs-3943	12	45	the	the	DET
iajs-3943	12	46	euclidean	euclidean	ADJ
iajs-3943	12	47	metric	metric	NOUN
iajs-3943	12	48	.	.	PUNCT
iajs-3943	13	1	in	in	ADP
iajs-3943	13	2	1922	1922	NUM
iajs-3943	13	3	,	,	PUNCT
iajs-3943	13	4	(	(	PUNCT
iajs-3943	13	5	9	9	X
iajs-3943	13	6	)	)	PUNCT
iajs-3943	13	7	presented	present	VERB
iajs-3943	13	8	the	the	DET
iajs-3943	13	9	banach	banach	ADV
iajs-3943	13	10	fixed	fix	VERB
iajs-3943	13	11	point	point	NOUN
iajs-3943	13	12	theorem	theorem	VERB
iajs-3943	13	13	,	,	PUNCT
iajs-3943	13	14	which	which	PRON
iajs-3943	13	15	is	be	AUX
iajs-3943	13	16	known	know	VERB
iajs-3943	13	17	an	an	DET
iajs-3943	13	18	essential	essential	ADJ
iajs-3943	13	19	concept	concept	NOUN
iajs-3943	13	20	in	in	ADP
iajs-3943	13	21	fixed	fix	VERB
iajs-3943	13	22	point	point	NOUN
iajs-3943	13	23	theory	theory	NOUN
iajs-3943	13	24	.	.	PUNCT
iajs-3943	14	1	from	from	ADP
iajs-3943	14	2	that	that	DET
iajs-3943	14	3	time	time	NOUN
iajs-3943	14	4	,	,	PUNCT
iajs-3943	14	5	many	many	ADJ
iajs-3943	14	6	results	result	NOUN
iajs-3943	14	7	fixed	fix	VERB
iajs-3943	14	8	points	point	NOUN
iajs-3943	14	9	on	on	ADP
iajs-3943	14	10	different	different	ADJ
iajs-3943	14	11	spaces	space	NOUN
iajs-3943	14	12	and	and	CCONJ
iajs-3943	14	13	types	type	NOUN
iajs-3943	14	14	of	of	ADP
iajs-3943	14	15	contraction	contraction	NOUN
iajs-3943	14	16	mappings	mapping	NOUN
iajs-3943	14	17	have	have	AUX
iajs-3943	14	18	been	be	AUX
iajs-3943	14	19	proved	prove	VERB
iajs-3943	14	20	,	,	PUNCT
iajs-3943	14	21	for	for	ADP
iajs-3943	14	22	more	more	ADJ
iajs-3943	14	23	detail	detail	NOUN
iajs-3943	14	24	see	see	VERB
iajs-3943	14	25	(	(	PUNCT
iajs-3943	14	26	10	10	NUM
iajs-3943	14	27	-	-	SYM
iajs-3943	14	28	28	28	NUM
iajs-3943	14	29	)	)	PUNCT
iajs-3943	14	30	.	.	PUNCT
iajs-3943	15	1	one	one	NUM
iajs-3943	15	2	of	of	ADP
iajs-3943	15	3	them	they	PRON
iajs-3943	15	4	,	,	PUNCT
iajs-3943	15	5	(	(	PUNCT
iajs-3943	15	6	3	3	X
iajs-3943	15	7	)	)	PUNCT
iajs-3943	15	8	established	establish	VERB
iajs-3943	15	9	many	many	ADJ
iajs-3943	15	10	results	result	NOUN
iajs-3943	15	11	on	on	ADP
iajs-3943	15	12	the	the	DET
iajs-3943	15	13	compact	compact	ADJ
iajs-3943	15	14	or	or	CCONJ
iajs-3943	15	15	complete	complete	ADJ
iajs-3943	15	16	fuzzy	fuzzy	ADJ
iajs-3943	15	17	metric	metric	ADJ
iajs-3943	15	18	spaces	space	NOUN
iajs-3943	15	19	.	.	PUNCT
iajs-3943	16	1	in	in	ADP
iajs-3943	16	2	our	our	PRON
iajs-3943	16	3	work	work	NOUN
iajs-3943	16	4	,	,	PUNCT
iajs-3943	16	5	we	we	PRON
iajs-3943	16	6	prove	prove	VERB
iajs-3943	16	7	the	the	DET
iajs-3943	16	8	existence	existence	NOUN
iajs-3943	16	9	a	a	DET
iajs-3943	16	10	uniqueness	uniqueness	NOUN
iajs-3943	16	11	of	of	ADP
iajs-3943	16	12	fixed	fix	VERB
iajs-3943	16	13	point	point	NOUN
iajs-3943	16	14	of	of	ADP
iajs-3943	16	15	a	a	DET
iajs-3943	16	16	mapping	mapping	NOUN
iajs-3943	16	17	on	on	ADP
iajs-3943	16	18	complete	complete	ADJ
iajs-3943	16	19	or	or	CCONJ
iajs-3943	16	20	compact	compact	ADJ
iajs-3943	16	21	fuzzy	fuzzy	ADJ
iajs-3943	16	22	metric	metric	ADJ
iajs-3943	16	23	space	space	NOUN
iajs-3943	16	24	where	where	SCONJ
iajs-3943	16	25	is	be	AUX
iajs-3943	16	26	a	a	DET
iajs-3943	16	27	non	non	ADJ
iajs-3943	16	28	-	-	ADJ
iajs-3943	16	29	empty	empty	ADJ
iajs-3943	16	30	set	set	NOUN
iajs-3943	16	31	,	,	PUNCT
iajs-3943	16	32	is	be	AUX
iajs-3943	16	33	a	a	DET
iajs-3943	16	34	fuzzy	fuzzy	ADJ
iajs-3943	16	35	set	set	NOUN
iajs-3943	16	36	on	on	ADP
iajs-3943	16	37	https://orcid.org/0009-0003-3781-6548	https://orcid.org/0009-0003-3781-6548	PROPN
iajs-3943	16	38	mailto:rusul.abd2203m@sc.uobaghdad.edu.iq	mailto:rusul.abd2203m@sc.uobaghdad.edu.iq	NOUN
iajs-3943	16	39	https://orcid.org/0000-0001-9123-5849	https://orcid.org/0000-0001-9123-5849	NOUN
iajs-3943	16	40	mailto:zina.z@sc.uobaghdad.edu.iq	mailto:zina.z@sc.uobaghdad.edu.iq	NOUN
iajs-3943	16	41	https://orcid.org/0009-0003-3781-6548	https://orcid.org/0009-0003-3781-6548	PROPN
iajs-3943	16	42	mailto:rusul.abd2203m@sc.uobaghdad.edu.iq	mailto:rusul.abd2203m@sc.uobaghdad.edu.iq	NOUN
iajs-3943	16	43	https://orcid.org/0000-0001-9123-5849	https://orcid.org/0000-0001-9123-5849	NOUN
iajs-3943	16	44	mailto:zina.z@sc.uobaghdad.edu.iq	mailto:zina.z@sc.uobaghdad.edu.iq	NOUN
iajs-3943	16	45	https://orcid.org/0009-0003-3781-6548	https://orcid.org/0009-0003-3781-6548	PROPN
iajs-3943	16	46	mailto:rusul.abd2203m@sc.uobaghdad.edu.iq	mailto:rusul.abd2203m@sc.uobaghdad.edu.iq	NOUN
iajs-3943	16	47	https://orcid.org/0000-0001-9123-5849	https://orcid.org/0000-0001-9123-5849	NOUN
iajs-3943	16	48	mailto:zina.z@sc.uobaghdad.edu.iq	mailto:zina.z@sc.uobaghdad.edu.iq	NOUN
iajs-3943	16	49	https://orcid.org/0009-0003-3781-6548	https://orcid.org/0009-0003-3781-6548	PROPN
iajs-3943	16	50	mailto:rusul.abd2203m@sc.uobaghdad.edu.iq	mailto:rusul.abd2203m@sc.uobaghdad.edu.iq	NOUN
iajs-3943	16	51	https://orcid.org/0000-0001-9123-5849	https://orcid.org/0000-0001-9123-5849	NOUN
iajs-3943	16	52	mailto:zina.z@sc.uobaghdad.edu.iq	mailto:zina.z@sc.uobaghdad.edu.iq	NOUN
iajs-3943	16	53	https://orcid.org/0009-0003-3781-6548	https://orcid.org/0009-0003-3781-6548	PROPN
iajs-3943	16	54	mailto:rusul.abd2203m@sc.uobaghdad.edu.iq	mailto:rusul.abd2203m@sc.uobaghdad.edu.iq	NOUN
iajs-3943	16	55	https://orcid.org/0000-0001-9123-5849	https://orcid.org/0000-0001-9123-5849	NOUN
iajs-3943	16	56	mailto:zina.z@sc.uobaghdad.edu.iq	mailto:zina.z@sc.uobaghdad.edu.iq	NOUN
iajs-3943	16	57	https://orcid.org/0009-0003-3781-6548	https://orcid.org/0009-0003-3781-6548	PROPN
iajs-3943	16	58	mailto:rusul.abd2203m@sc.uobaghdad.edu.iq	mailto:rusul.abd2203m@sc.uobaghdad.edu.iq	NOUN
iajs-3943	16	59	https://orcid.org/0000-0001-9123-5849	https://orcid.org/0000-0001-9123-5849	NOUN
iajs-3943	16	60	mailto:zina.z@sc.uobaghdad.edu.iq	mailto:zina.z@sc.uobaghdad.edu.iq	NOUN
iajs-3943	16	61	ihjpas	ihjpa	NOUN
iajs-3943	16	62	.	.	PUNCT
iajs-3943	17	1	2025	2025	NUM
iajs-3943	17	2	,	,	PUNCT
iajs-3943	17	3	38(3	38(3	NUM
iajs-3943	17	4	)	)	PUNCT
iajs-3943	17	5	362	362	NUM
iajs-3943	17	6	to	to	ADP
iajs-3943	17	7	[	[	X
iajs-3943	17	8	0,1	0,1	NUM
iajs-3943	17	9	]	]	PUNCT
iajs-3943	17	10	,	,	PUNCT
iajs-3943	17	11	and	and	CCONJ
iajs-3943	17	12	is	be	AUX
iajs-3943	17	13	a	a	DET
iajs-3943	17	14	continuous	continuous	ADJ
iajs-3943	17	15	-norm	-norm	NOUN
iajs-3943	17	16	under	under	ADP
iajs-3943	17	17	contraction	contraction	NOUN
iajs-3943	17	18	mapping	mapping	NOUN
iajs-3943	17	19	of	of	ADP
iajs-3943	17	20	types	type	NOUN
iajs-3943	17	21	and	and	CCONJ
iajs-3943	17	22	.	.	PUNCT
iajs-3943	18	1	2	2	X
iajs-3943	18	2	.	.	NUM
iajs-3943	18	3	preliminaries	preliminary	NOUN
iajs-3943	18	4	in	in	ADP
iajs-3943	18	5	this	this	DET
iajs-3943	18	6	section	section	NOUN
iajs-3943	18	7	we	we	PRON
iajs-3943	18	8	will	will	AUX
iajs-3943	18	9	cover	cover	VERB
iajs-3943	18	10	some	some	DET
iajs-3943	18	11	basic	basic	ADJ
iajs-3943	18	12	definitions	definition	NOUN
iajs-3943	18	13	and	and	CCONJ
iajs-3943	18	14	results	result	NOUN
iajs-3943	18	15	.	.	PUNCT
iajs-3943	19	1	definition	definition	NOUN
iajs-3943	19	2	2.1	2.1	NUM
iajs-3943	19	3	(	(	PUNCT
iajs-3943	19	4	29	29	NUM
iajs-3943	19	5	):	):	PUNCT
iajs-3943	19	6	a	a	DET
iajs-3943	19	7	tnorm	tnorm	NOUN
iajs-3943	19	8	is	be	AUX
iajs-3943	19	9	a	a	DET
iajs-3943	19	10	binary	binary	ADJ
iajs-3943	19	11	operation	operation	NOUN
iajs-3943	19	12	:	:	PUNCT
iajs-3943	20	1	[	[	X
iajs-3943	20	2	0,1]×[0,1]→[0,1	0,1]×[0,1]→[0,1	X
iajs-3943	20	3	]	]	PUNCT
iajs-3943	20	4	for	for	ADP
iajs-3943	20	5	all	all	PRON
iajs-3943	20	6	[	[	PUNCT
iajs-3943	20	7	]	]	X
iajs-3943	20	8	,	,	PUNCT
iajs-3943	20	9	which	which	PRON
iajs-3943	20	10	satisfies	satisfy	VERB
iajs-3943	20	11	the	the	DET
iajs-3943	20	12	conditions	condition	NOUN
iajs-3943	20	13	:	:	PUNCT
iajs-3943	20	14	1	1	NUM
iajs-3943	20	15	commutatively	commutatively	ADV
iajs-3943	20	16	:	:	PUNCT
iajs-3943	20	17	;	;	PUNCT
iajs-3943	20	18	2associativity	2associativity	NUM
iajs-3943	20	19	:	:	PUNCT
iajs-3943	20	20	;	;	PUNCT
iajs-3943	20	21	3	3	NUM
iajs-3943	20	22	for	for	ADP
iajs-3943	20	23	each	each	DET
iajs-3943	20	24	4	4	NUM
iajs-3943	20	25	for	for	ADP
iajs-3943	20	26	all	all	PRON
iajs-3943	20	27	[	[	PUNCT
iajs-3943	20	28	]	]	X
iajs-3943	20	29	such	such	ADJ
iajs-3943	20	30	that	that	PRON
iajs-3943	20	31	and	and	CCONJ
iajs-3943	20	32	,	,	PUNCT
iajs-3943	20	33	5	5	NUM
iajs-3943	20	34	is	be	AUX
iajs-3943	20	35	continuous	continuous	ADJ
iajs-3943	20	36	.	.	PUNCT
iajs-3943	21	1	the	the	DET
iajs-3943	21	2	commutatively	commutatively	ADV
iajs-3943	21	3	of	of	ADP
iajs-3943	21	4	(	(	PUNCT
iajs-3943	21	5	1	1	NUM
iajs-3943	21	6	)	)	PUNCT
iajs-3943	21	7	,	,	PUNCT
iajs-3943	21	8	and	and	CCONJ
iajs-3943	21	9	conditions	condition	NOUN
iajs-3943	21	10	(	(	PUNCT
iajs-3943	21	11	2	2	NUM
iajs-3943	21	12	)	)	PUNCT
iajs-3943	21	13	,	,	PUNCT
iajs-3943	21	14	for	for	ADP
iajs-3943	21	15	all	all	DET
iajs-3943	21	16	-norm	-norm	NOUN
iajs-3943	21	17	,	,	PUNCT
iajs-3943	21	18	,	,	PUNCT
iajs-3943	21	19	and	and	CCONJ
iajs-3943	21	20	:	:	PUNCT
iajs-3943	21	21	(	(	PUNCT
iajs-3943	21	22	29	29	NUM
iajs-3943	21	23	)	)	PUNCT
iajs-3943	21	24	e.g	e.g	NOUN
iajs-3943	21	25	of	of	ADP
iajs-3943	21	26	a	a	DET
iajs-3943	21	27	-norm	-norm	NOUN
iajs-3943	21	28	are	be	AUX
iajs-3943	21	29	,	,	PUNCT
iajs-3943	21	30	{	{	PUNCT
iajs-3943	21	31	}	}	PUNCT
iajs-3943	21	32	(	(	PUNCT
iajs-3943	21	33	29	29	NUM
iajs-3943	21	34	)	)	PUNCT
iajs-3943	21	35	.	.	PUNCT
iajs-3943	22	1	definition	definition	NOUN
iajs-3943	22	2	2.2	2.2	NUM
iajs-3943	22	3	(	(	PUNCT
iajs-3943	22	4	30	30	NUM
iajs-3943	22	5	):	):	PUNCT
iajs-3943	22	6	let	let	VERB
iajs-3943	22	7	be	be	AUX
iajs-3943	22	8	a	a	DET
iajs-3943	22	9	-norm	-norm	NOUN
iajs-3943	22	10	,	,	PUNCT
iajs-3943	22	11	and	and	CCONJ
iajs-3943	22	12	let	let	VERB
iajs-3943	22	13	[	[	PUNCT
iajs-3943	22	14	]	]	X
iajs-3943	22	15	[	[	PUNCT
iajs-3943	22	16	]	]	X
iajs-3943	22	17	,	,	PUNCT
iajs-3943	22	18	be	be	AUX
iajs-3943	22	19	defined	define	VERB
iajs-3943	22	20	as	as	ADP
iajs-3943	22	21	[	[	PUNCT
iajs-3943	22	22	]	]	X
iajs-3943	22	23	remark	remark	NOUN
iajs-3943	22	24	2.3	2.3	NUM
iajs-3943	22	25	(	(	PUNCT
iajs-3943	22	26	29	29	NUM
iajs-3943	22	27	):	):	PUNCT
iajs-3943	22	28	each	each	DET
iajs-3943	22	29	t	t	NOUN
iajs-3943	22	30	-	-	PUNCT
iajs-3943	22	31	norm	norm	NOUN
iajs-3943	22	32	t	t	NOUN
iajs-3943	22	33	can	can	AUX
iajs-3943	22	34	be	be	AUX
iajs-3943	22	35	extended	extend	VERB
iajs-3943	22	36	through	through	ADP
iajs-3943	22	37	associativity	associativity	NOUN
iajs-3943	22	38	to	to	ADP
iajs-3943	22	39	an	an	DET
iajs-3943	22	40	n	n	CCONJ
iajs-3943	22	41	-	-	PUNCT
iajs-3943	22	42	ary	ary	NOUN
iajs-3943	22	43	operation	operation	NOUN
iajs-3943	22	44	that	that	PRON
iajs-3943	22	45	takes	take	VERB
iajs-3943	22	46	the	the	DET
iajs-3943	22	47	values	value	NOUN
iajs-3943	22	48	of	of	ADP
iajs-3943	22	49	a	a	PRON
iajs-3943	22	50	(	(	PUNCT
iajs-3943	22	51	)	)	PUNCT
iajs-3943	23	1	[	[	PUNCT
iajs-3943	23	2	]	]	X
iajs-3943	23	3	as	as	ADP
iajs-3943	23	4	,	,	PUNCT
iajs-3943	23	5	.	.	PUNCT
iajs-3943	24	1	we	we	PRON
iajs-3943	24	2	say	say	VERB
iajs-3943	24	3	that	that	SCONJ
iajs-3943	24	4	a	a	DET
iajs-3943	24	5	-norm	-norm	NOUN
iajs-3943	24	6	is	be	AUX
iajs-3943	24	7	of	of	ADP
iajs-3943	24	8	-type	-type	NOUN
iajs-3943	24	9	if	if	SCONJ
iajs-3943	24	10	the	the	DET
iajs-3943	24	11	family	family	NOUN
iajs-3943	24	12	{	{	PUNCT
iajs-3943	24	13	}	}	PUNCT
iajs-3943	24	14	is	be	AUX
iajs-3943	24	15	equicontinuous	equicontinuous	ADJ
iajs-3943	24	16	at	at	ADP
iajs-3943	24	17	.	.	PUNCT
iajs-3943	25	1	remark	remark	VERB
iajs-3943	25	2	2.4	2.4	NUM
iajs-3943	25	3	(	(	PUNCT
iajs-3943	25	4	29	29	NUM
iajs-3943	25	5	):	):	PUNCT
iajs-3943	25	6	in	in	ADP
iajs-3943	25	7	-norm	-norm	NOUN
iajs-3943	25	8	can	can	AUX
iajs-3943	25	9	take	take	VERB
iajs-3943	25	10	any	any	DET
iajs-3943	25	11	sequence	sequence	NOUN
iajs-3943	25	12	(	(	PUNCT
iajs-3943	25	13	form	form	NOUN
iajs-3943	25	14	[	[	X
iajs-3943	25	15	0,1	0,1	NUM
iajs-3943	25	16	]	]	PUNCT
iajs-3943	25	17	can	can	AUX
iajs-3943	25	18	extend	extend	VERB
iajs-3943	25	19	to	to	PART
iajs-3943	25	20	countable	countable	VERB
iajs-3943	25	21	infinite	infinite	ADJ
iajs-3943	25	22	operation	operation	NOUN
iajs-3943	25	23	.	.	PUNCT
iajs-3943	26	1	exists	exist	VERB
iajs-3943	26	2	since	since	SCONJ
iajs-3943	26	3	the	the	DET
iajs-3943	26	4	sequence	sequence	NOUN
iajs-3943	26	5	is	be	AUX
iajs-3943	26	6	non	non	ADJ
iajs-3943	26	7	-	-	ADJ
iajs-3943	26	8	increasing	increase	VERB
iajs-3943	26	9	and	and	CCONJ
iajs-3943	26	10	bounded	bound	VERB
iajs-3943	26	11	from	from	ADP
iajs-3943	26	12	below	below	ADV
iajs-3943	26	13	.	.	PUNCT
iajs-3943	27	1	the	the	DET
iajs-3943	27	2	concept	concept	NOUN
iajs-3943	27	3	a	a	DET
iajs-3943	27	4	fuzzy	fuzzy	ADJ
iajs-3943	27	5	-metric	-metric	ADJ
iajs-3943	27	6	space	space	NOUN
iajs-3943	27	7	is	be	AUX
iajs-3943	27	8	obtainable	obtainable	ADJ
iajs-3943	27	9	in	in	ADP
iajs-3943	27	10	(	(	PUNCT
iajs-3943	27	11	7	7	NUM
iajs-3943	27	12	)	)	PUNCT
iajs-3943	27	13	.	.	PUNCT
iajs-3943	28	1	definition	definition	NOUN
iajs-3943	28	2	2.5	2.5	NUM
iajs-3943	28	3	(	(	PUNCT
iajs-3943	28	4	7	7	NUM
iajs-3943	28	5	):	):	PUNCT
iajs-3943	28	6	a	a	DET
iajs-3943	28	7	3	3	NUM
iajs-3943	28	8	-	-	PUNCT
iajs-3943	28	9	tuple	tuple	NOUN
iajs-3943	28	10	is	be	AUX
iajs-3943	28	11	called	call	VERB
iajs-3943	28	12	a	a	DET
iajs-3943	28	13	fuzzy	fuzzy	ADJ
iajs-3943	28	14	metric	metric	ADJ
iajs-3943	28	15	space	space	NOUN
iajs-3943	28	16	(	(	PUNCT
iajs-3943	28	17	fb	fb	INTJ
iajs-3943	28	18	-	-	PUNCT
iajs-3943	28	19	ms	ms	NOUN
iajs-3943	28	20	)	)	PUNCT
iajs-3943	28	21	if	if	SCONJ
iajs-3943	28	22	x	x	PRON
iajs-3943	28	23	is	be	AUX
iajs-3943	28	24	an	an	DET
iajs-3943	28	25	arbitrary	arbitrary	ADJ
iajs-3943	28	26	(	(	PUNCT
iajs-3943	28	27	nonempty	nonempty	NOUN
iajs-3943	28	28	)	)	PUNCT
iajs-3943	28	29	set	set	NOUN
iajs-3943	28	30	,	,	PUNCT
iajs-3943	28	31	and	and	CCONJ
iajs-3943	28	32	is	be	AUX
iajs-3943	28	33	a	a	DET
iajs-3943	28	34	continues	continue	NOUN
iajs-3943	28	35	norm	norm	NOUN
iajs-3943	28	36	,	,	PUNCT
iajs-3943	28	37	is	be	AUX
iajs-3943	28	38	a	a	DET
iajs-3943	28	39	fuzzy	fuzzy	ADJ
iajs-3943	28	40	set	set	NOUN
iajs-3943	28	41	on	on	ADP
iajs-3943	28	42	×	×	PROPN
iajs-3943	28	43	×	×	NOUN
iajs-3943	28	44	[	[	PUNCT
iajs-3943	28	45	satisfying	satisfy	VERB
iajs-3943	28	46	the	the	DET
iajs-3943	28	47	following	follow	VERB
iajs-3943	28	48	conditions	condition	NOUN
iajs-3943	28	49	for	for	ADP
iajs-3943	28	50	all	all	PRON
iajs-3943	28	51	,	,	PUNCT
iajs-3943	28	52	0	0	NUM
iajs-3943	28	53	:	:	SYM
iajs-3943	28	54	0	0	NUM
iajs-3943	28	55	,	,	PUNCT
iajs-3943	28	56	1	1	NUM
iajs-3943	28	57	if	if	SCONJ
iajs-3943	28	58	and	and	CCONJ
iajs-3943	28	59	only	only	ADV
iajs-3943	28	60	if	if	SCONJ
iajs-3943	28	61	,	,	PUNCT
iajs-3943	28	62	,	,	PUNCT
iajs-3943	28	63	(	(	PUNCT
iajs-3943	28	64	(	(	PUNCT
iajs-3943	28	65	)	)	PUNCT
iajs-3943	28	66	)	)	PUNCT
iajs-3943	28	67	,	,	PUNCT
iajs-3943	29	1	[	[	PUNCT
iajs-3943	29	2	[	[	PUNCT
iajs-3943	29	3	]	]	X
iajs-3943	29	4	is	be	AUX
iajs-3943	29	5	continuous	continuous	ADJ
iajs-3943	29	6	.	.	PUNCT
iajs-3943	30	1	another	another	DET
iajs-3943	30	2	definition	definition	NOUN
iajs-3943	30	3	of	of	ADP
iajs-3943	30	4	fb	fb	NOUN
iajs-3943	30	5	-	-	PUNCT
iajs-3943	30	6	ms	ms	PROPN
iajs-3943	30	7	is	be	AUX
iajs-3943	30	8	introduced	introduce	VERB
iajs-3943	30	9	in	in	ADP
iajs-3943	30	10	(	(	PUNCT
iajs-3943	30	11	1	1	NUM
iajs-3943	30	12	)	)	PUNCT
iajs-3943	30	13	.	.	PUNCT
iajs-3943	31	1	definition	definition	NOUN
iajs-3943	31	2	2.6	2.6	NUM
iajs-3943	31	3	(	(	PUNCT
iajs-3943	31	4	1	1	NUM
iajs-3943	31	5	):	):	PUNCT
iajs-3943	31	6	a	a	DET
iajs-3943	31	7	3	3	NUM
iajs-3943	31	8	-	-	PUNCT
iajs-3943	31	9	tuple	tuple	NOUN
iajs-3943	31	10	is	be	AUX
iajs-3943	31	11	called	call	VERB
iajs-3943	31	12	a	a	DET
iajs-3943	31	13	(	(	PUNCT
iajs-3943	31	14	fb	fb	INTJ
iajs-3943	31	15	-	-	PUNCT
iajs-3943	31	16	ms	ms	NOUN
iajs-3943	31	17	)	)	PUNCT
iajs-3943	31	18	if	if	SCONJ
iajs-3943	31	19	x	x	PRON
iajs-3943	31	20	is	be	AUX
iajs-3943	31	21	an	an	DET
iajs-3943	31	22	arbitrary	arbitrary	ADJ
iajs-3943	31	23	(	(	PUNCT
iajs-3943	31	24	nonempty	nonempty	NOUN
iajs-3943	31	25	)	)	PUNCT
iajs-3943	31	26	set	set	NOUN
iajs-3943	31	27	,	,	PUNCT
iajs-3943	31	28	and	and	CCONJ
iajs-3943	31	29	is	be	AUX
iajs-3943	31	30	a	a	DET
iajs-3943	31	31	continues	continue	NOUN
iajs-3943	31	32	norm	norm	NOUN
iajs-3943	31	33	,	,	PUNCT
iajs-3943	31	34	is	be	AUX
iajs-3943	31	35	a	a	DET
iajs-3943	31	36	fuzzy	fuzzy	ADJ
iajs-3943	31	37	set	set	NOUN
iajs-3943	31	38	on	on	ADP
iajs-3943	31	39	×	×	PROPN
iajs-3943	31	40	×	×	NOUN
iajs-3943	31	41	[	[	PUNCT
iajs-3943	31	42	satisfying	satisfy	VERB
iajs-3943	31	43	the	the	DET
iajs-3943	31	44	following	follow	VERB
iajs-3943	31	45	conditions	condition	NOUN
iajs-3943	31	46	for	for	ADP
iajs-3943	31	47	all	all	PRON
iajs-3943	31	48	,	,	PUNCT
iajs-3943	31	49	0	0	NUM
iajs-3943	31	50	:	:	SYM
iajs-3943	31	51	0	0	NUM
iajs-3943	31	52	,	,	PUNCT
iajs-3943	31	53	2	2	NUM
iajs-3943	31	54	1	1	NUM
iajs-3943	31	55	if	if	SCONJ
iajs-3943	31	56	and	and	CCONJ
iajs-3943	31	57	only	only	ADV
iajs-3943	31	58	if	if	SCONJ
iajs-3943	31	59	,	,	PUNCT
iajs-3943	31	60	,	,	PUNCT
iajs-3943	31	61	[	[	PUNCT
iajs-3943	31	62	[	[	PUNCT
iajs-3943	31	63	]	]	X
iajs-3943	31	64	is	be	AUX
iajs-3943	31	65	continuous	continuous	ADJ
iajs-3943	31	66	.	.	PUNCT
iajs-3943	32	1	let	let	VERB
iajs-3943	32	2	us	we	PRON
iajs-3943	32	3	give	give	VERB
iajs-3943	32	4	a	a	DET
iajs-3943	32	5	simple	simple	ADJ
iajs-3943	32	6	application	application	NOUN
iajs-3943	32	7	of	of	ADP
iajs-3943	32	8	a	a	DET
iajs-3943	32	9	fb	fb	NOUN
iajs-3943	32	10	-	-	PUNCT
iajs-3943	32	11	ms	ms	PROPN
iajs-3943	32	12	.	.	PROPN
iajs-3943	32	13	example	example	NOUN
iajs-3943	33	1	2.7	2.7	NUM
iajs-3943	33	2	[	[	SYM
iajs-3943	33	3	1	1	NUM
iajs-3943	33	4	,	,	PUNCT
iajs-3943	33	5	p.31	p.31	PRON
iajs-3943	33	6	]	]	PUNCT
iajs-3943	33	7	:	:	PUNCT
iajs-3943	33	8	suppose	suppose	VERB
iajs-3943	33	9	,	,	PUNCT
iajs-3943	33	10	a	a	DET
iajs-3943	33	11	function	function	NOUN
iajs-3943	33	12	[	[	PUNCT
iajs-3943	33	13	define	define	NOUN
iajs-3943	33	14	by	by	ADP
iajs-3943	33	15	ihjpas	ihjpa	NOUN
iajs-3943	33	16	.	.	PUNCT
iajs-3943	34	1	2025	2025	NUM
iajs-3943	34	2	,	,	PUNCT
iajs-3943	34	3	38(3	38(3	NUM
iajs-3943	34	4	)	)	PUNCT
iajs-3943	34	5	363	363	NUM
iajs-3943	34	6	=	=	NOUN
iajs-3943	34	7	exp	exp	NOUN
iajs-3943	34	8	.then	.then	X
iajs-3943	34	9	is	be	AUX
iajs-3943	34	10	a	a	DET
iajs-3943	34	11	fb	fb	NOUN
iajs-3943	34	12	-	-	PUNCT
iajs-3943	34	13	ms	ms	NOUN
iajs-3943	34	14	.	.	PUNCT
iajs-3943	35	1	we	we	PRON
iajs-3943	35	2	now	now	ADV
iajs-3943	35	3	start	start	VERB
iajs-3943	35	4	with	with	ADP
iajs-3943	35	5	certain	certain	ADJ
iajs-3943	35	6	fundamental	fundamental	ADJ
iajs-3943	35	7	concepts	concept	NOUN
iajs-3943	35	8	.	.	PUNCT
iajs-3943	36	1	definition	definition	NOUN
iajs-3943	36	2	2.8	2.8	NUM
iajs-3943	36	3	(	(	PUNCT
iajs-3943	36	4	1	1	NUM
iajs-3943	36	5	):	):	PUNCT
iajs-3943	36	6	a	a	DET
iajs-3943	36	7	sequence	sequence	NOUN
iajs-3943	36	8	in	in	ADP
iajs-3943	36	9	is	be	AUX
iajs-3943	36	10	a	a	DET
iajs-3943	36	11	converges	converge	NOUN
iajs-3943	36	12	to	to	ADP
iajs-3943	36	13	if	if	SCONJ
iajs-3943	36	14	(	(	PUNCT
iajs-3943	36	15	,	,	PUNCT
iajs-3943	36	16	→1	→1	PUNCT
iajs-3943	36	17	as	as	ADP
iajs-3943	36	18	→	→	SYM
iajs-3943	36	19	∞	∞	PROPN
iajs-3943	36	20	for	for	ADP
iajs-3943	36	21	each	each	PRON
iajs-3943	36	22	>	>	X
iajs-3943	36	23	0	0	X
iajs-3943	36	24	.	.	PUNCT
iajs-3943	37	1	we	we	PRON
iajs-3943	37	2	can	can	AUX
iajs-3943	37	3	write	write	VERB
iajs-3943	37	4	=	=	PUNCT
iajs-3943	37	5	.	.	PUNCT
iajs-3943	38	1	definition	definition	NOUN
iajs-3943	38	2	2.9	2.9	NUM
iajs-3943	38	3	(	(	PUNCT
iajs-3943	38	4	1	1	NUM
iajs-3943	38	5	):	):	PUNCT
iajs-3943	38	6	if	if	SCONJ
iajs-3943	38	7	,	,	PUNCT
iajs-3943	38	8	for	for	ADP
iajs-3943	38	9	each	each	DET
iajs-3943	38	10	0	0	NUM
iajs-3943	38	11	and	and	CCONJ
iajs-3943	38	12	0	0	NUM
iajs-3943	38	13	1	1	NUM
iajs-3943	38	14	,	,	PUNCT
iajs-3943	38	15	there	there	PRON
iajs-3943	38	16	are	be	VERB
iajs-3943	38	17	0	0	NUM
iajs-3943	38	18	such	such	ADJ
iajs-3943	38	19	that	that	PRON
iajs-3943	38	20	,	,	PUNCT
iajs-3943	38	21	,	,	PUNCT
iajs-3943	38	22	1	1	NUM
iajs-3943	38	23	–	–	PUNCT
iajs-3943	38	24	for	for	ADP
iajs-3943	38	25	all	all	PRON
iajs-3943	38	26	,	,	PUNCT
iajs-3943	38	27	≥	≥	NUM
iajs-3943	38	28	o	o	NOUN
iajs-3943	38	29	,	,	PUNCT
iajs-3943	38	30	then	then	ADV
iajs-3943	38	31	is	be	AUX
iajs-3943	38	32	called	call	VERB
iajs-3943	38	33	a	a	DET
iajs-3943	38	34	cauchy	cauchy	ADJ
iajs-3943	38	35	sequence	sequence	NOUN
iajs-3943	38	36	in	in	ADV
iajs-3943	38	37	.	.	PUNCT
iajs-3943	39	1	proposition	proposition	NOUN
iajs-3943	39	2	2.10(1):a	2.10(1):a	NUM
iajs-3943	39	3	sequence	sequence	NOUN
iajs-3943	39	4	in	in	ADP
iajs-3943	39	5	said	say	VERB
iajs-3943	39	6	to	to	PART
iajs-3943	39	7	be	be	AUX
iajs-3943	39	8	a	a	DET
iajs-3943	39	9	cauchy	cauchy	ADJ
iajs-3943	39	10	sequence	sequence	NOUN
iajs-3943	39	11	if	if	SCONJ
iajs-3943	39	12	,	,	PUNCT
iajs-3943	39	13	,	,	PUNCT
iajs-3943	39	14	=	=	NOUN
iajs-3943	39	15	1	1	NUM
iajs-3943	39	16	for	for	ADP
iajs-3943	39	17	each	each	PRON
iajs-3943	39	18	.	.	PUNCT
iajs-3943	40	1	definition	definition	NOUN
iajs-3943	40	2	2.11	2.11	NUM
iajs-3943	40	3	(	(	PUNCT
iajs-3943	40	4	1	1	NUM
iajs-3943	40	5	):	):	PUNCT
iajs-3943	40	6	if	if	SCONJ
iajs-3943	40	7	every	every	DET
iajs-3943	40	8	cauchy	cauchy	ADJ
iajs-3943	40	9	sequence	sequence	NOUN
iajs-3943	40	10	in	in	ADP
iajs-3943	40	11	a	a	DET
iajs-3943	40	12	fb	fb	NOUN
iajs-3943	40	13	-	-	PUNCT
iajs-3943	40	14	ms	ms	NOUN
iajs-3943	40	15	is	be	AUX
iajs-3943	40	16	convergent	convergent	ADJ
iajs-3943	40	17	,	,	PUNCT
iajs-3943	40	18	then	then	ADV
iajs-3943	40	19	fbms	fbms	PROPN
iajs-3943	40	20	is	be	AUX
iajs-3943	40	21	said	say	VERB
iajs-3943	40	22	to	to	PART
iajs-3943	40	23	be	be	AUX
iajs-3943	40	24	complete	complete	ADJ
iajs-3943	40	25	.	.	PUNCT
iajs-3943	41	1	in	in	ADP
iajs-3943	41	2	[	[	X
iajs-3943	41	3	3	3	NUM
iajs-3943	41	4	]	]	PUNCT
iajs-3943	41	5	,	,	PUNCT
iajs-3943	41	6	give	give	VERB
iajs-3943	41	7	a	a	DET
iajs-3943	41	8	concept	concept	NOUN
iajs-3943	41	9	of	of	ADP
iajs-3943	41	10	a	a	DET
iajs-3943	41	11	compact	compact	ADJ
iajs-3943	41	12	fuzzy	fuzzy	ADJ
iajs-3943	41	13	metric	metric	ADJ
iajs-3943	41	14	space	space	NOUN
iajs-3943	41	15	.	.	PUNCT
iajs-3943	42	1	we	we	PRON
iajs-3943	42	2	will	will	AUX
iajs-3943	42	3	generalized	generalize	VERB
iajs-3943	42	4	to	to	ADP
iajs-3943	42	5	fb	fb	ADJ
iajs-3943	42	6	-	-	PUNCT
iajs-3943	42	7	ms	ms	PROPN
iajs-3943	42	8	.	.	PROPN
iajs-3943	42	9	definition	definition	NOUN
iajs-3943	42	10	2.12	2.12	NUM
iajs-3943	42	11	:	:	PUNCT
iajs-3943	42	12	if	if	SCONJ
iajs-3943	42	13	there	there	PRON
iajs-3943	42	14	exists	exist	VERB
iajs-3943	42	15	a	a	DET
iajs-3943	42	16	convergent	convergent	NOUN
iajs-3943	42	17	subsequence	subsequence	NOUN
iajs-3943	42	18	for	for	ADP
iajs-3943	42	19	each	each	DET
iajs-3943	42	20	sequence	sequence	NOUN
iajs-3943	42	21	in	in	ADP
iajs-3943	42	22	,	,	PUNCT
iajs-3943	42	23	then	then	ADV
iajs-3943	42	24	a	a	DET
iajs-3943	42	25	fbms	fbms	NOUN
iajs-3943	42	26	is	be	AUX
iajs-3943	42	27	called	call	VERB
iajs-3943	42	28	compact	compact	ADJ
iajs-3943	42	29	.	.	PUNCT
iajs-3943	43	1	in	in	ADP
iajs-3943	43	2	[	[	X
iajs-3943	43	3	2	2	NUM
iajs-3943	43	4	]	]	PUNCT
iajs-3943	43	5	proved	prove	VERB
iajs-3943	43	6	the	the	DET
iajs-3943	43	7	following	follow	VERB
iajs-3943	43	8	propositions	proposition	NOUN
iajs-3943	43	9	,	,	PUNCT
iajs-3943	43	10	which	which	PRON
iajs-3943	43	11	are	be	AUX
iajs-3943	43	12	main	main	ADJ
iajs-3943	43	13	to	to	ADP
iajs-3943	43	14	in	in	ADP
iajs-3943	43	15	our	our	PRON
iajs-3943	43	16	results	result	NOUN
iajs-3943	43	17	.	.	PUNCT
iajs-3943	44	1	proposition	proposition	NOUN
iajs-3943	44	2	2.13	2.13	NUM
iajs-3943	44	3	(	(	PUNCT
iajs-3943	44	4	2	2	NUM
iajs-3943	44	5	):	):	PUNCT
iajs-3943	44	6	suppose	suppose	VERB
iajs-3943	44	7	be	be	AUX
iajs-3943	44	8	a	a	DET
iajs-3943	44	9	sequence	sequence	NOUN
iajs-3943	44	10	in	in	ADP
iajs-3943	44	11	a	a	DET
iajs-3943	44	12	fb	fb	NOUN
iajs-3943	44	13	-	-	PUNCT
iajs-3943	44	14	ms	ms	NOUN
iajs-3943	44	15	,	,	PUNCT
iajs-3943	44	16	and	and	CCONJ
iajs-3943	44	17	let	let	VERB
iajs-3943	44	18	be	be	AUX
iajs-3943	44	19	of	of	ADP
iajs-3943	44	20	type	type	NOUN
iajs-3943	44	21	.	.	PUNCT
iajs-3943	45	1	if	if	SCONJ
iajs-3943	45	2	there	there	PRON
iajs-3943	45	3	is	be	VERB
iajs-3943	45	4	λ	λ	NOUN
iajs-3943	45	5	such	such	ADJ
iajs-3943	45	6	that	that	PRON
iajs-3943	45	7	,	,	PUNCT
iajs-3943	45	8	,	,	PUNCT
iajs-3943	45	9	(	(	PUNCT
iajs-3943	45	10	)	)	PUNCT
iajs-3943	45	11	,	,	PUNCT
iajs-3943	45	12	and	and	CCONJ
iajs-3943	45	13	there	there	PRON
iajs-3943	45	14	are	be	VERB
iajs-3943	45	15	,	,	PUNCT
iajs-3943	45	16	and	and	CCONJ
iajs-3943	45	17	such	such	ADJ
iajs-3943	45	18	that	that	PRON
iajs-3943	45	19	(	(	PUNCT
iajs-3943	45	20	)	)	PUNCT
iajs-3943	45	21	1	1	NUM
iajs-3943	45	22	;	;	PUNCT
iajs-3943	45	23	then	then	ADV
iajs-3943	45	24	the	the	DET
iajs-3943	45	25	sequence	sequence	NOUN
iajs-3943	45	26	is	be	AUX
iajs-3943	45	27	a	a	DET
iajs-3943	45	28	cauchy	cauchy	NOUN
iajs-3943	45	29	.	.	PUNCT
iajs-3943	46	1	proposition	proposition	NOUN
iajs-3943	46	2	2.14	2.14	NUM
iajs-3943	46	3	(	(	PUNCT
iajs-3943	46	4	2	2	NUM
iajs-3943	46	5	):	):	PUNCT
iajs-3943	46	6	let	let	VERB
iajs-3943	46	7	be	be	AUX
iajs-3943	46	8	a	a	DET
iajs-3943	46	9	fb	fb	NOUN
iajs-3943	46	10	-	-	PUNCT
iajs-3943	46	11	ms	ms	NOUN
iajs-3943	46	12	.	.	PROPN
iajs-3943	47	1	if	if	SCONJ
iajs-3943	47	2	for	for	ADP
iajs-3943	47	3	some	some	PRON
iajs-3943	47	4	and	and	CCONJ
iajs-3943	47	5	,	,	PUNCT
iajs-3943	47	6	(	(	PUNCT
iajs-3943	47	7	)	)	PUNCT
iajs-3943	47	8	,	,	PUNCT
iajs-3943	47	9	then	then	ADV
iajs-3943	47	10	.	.	PUNCT
iajs-3943	48	1	3	3	X
iajs-3943	48	2	.	.	X
iajs-3943	48	3	results	result	NOUN
iajs-3943	48	4	in	in	ADP
iajs-3943	48	5	this	this	DET
iajs-3943	48	6	section	section	NOUN
iajs-3943	48	7	.	.	PUNCT
iajs-3943	49	1	we	we	PRON
iajs-3943	49	2	establish	establish	VERB
iajs-3943	49	3	several	several	ADJ
iajs-3943	49	4	fixed	fix	VERB
iajs-3943	49	5	point	point	NOUN
iajs-3943	49	6	theorems	theorem	NOUN
iajs-3943	49	7	for	for	ADP
iajs-3943	49	8	a	a	DET
iajs-3943	49	9	class	class	NOUN
iajs-3943	49	10	of	of	ADP
iajs-3943	49	11	self	self	NOUN
iajs-3943	49	12	-mappings	-mapping	NOUN
iajs-3943	49	13	in	in	ADP
iajs-3943	49	14	complete	complete	ADJ
iajs-3943	49	15	fuzzy	fuzzy	ADJ
iajs-3943	49	16	-metric	-metric	ADJ
iajs-3943	49	17	spaces	space	NOUN
iajs-3943	49	18	and	and	CCONJ
iajs-3943	49	19	compact	compact	ADJ
iajs-3943	49	20	fuzzy	fuzzy	ADJ
iajs-3943	49	21	metric	metric	ADJ
iajs-3943	49	22	spaces	space	NOUN
iajs-3943	49	23	by	by	ADP
iajs-3943	49	24	using	use	VERB
iajs-3943	49	25	the	the	DET
iajs-3943	49	26	function	function	NOUN
iajs-3943	49	27	.	.	PUNCT
iajs-3943	50	1	first	first	ADV
iajs-3943	50	2	we	we	PRON
iajs-3943	50	3	need	need	VERB
iajs-3943	50	4	the	the	DET
iajs-3943	50	5	following	follow	VERB
iajs-3943	50	6	definitions	definition	NOUN
iajs-3943	50	7	.	.	PUNCT
iajs-3943	51	1	definition	definition	NOUN
iajs-3943	51	2	3.1	3.1	NUM
iajs-3943	51	3	:	:	PUNCT
iajs-3943	51	4	suppose	suppose	VERB
iajs-3943	51	5	be	be	AUX
iajs-3943	51	6	a	a	DET
iajs-3943	51	7	fb	fb	NOUN
iajs-3943	51	8	-	-	PUNCT
iajs-3943	51	9	ms	ms	NOUN
iajs-3943	51	10	,	,	PUNCT
iajs-3943	51	11	a	a	DET
iajs-3943	51	12	function	function	NOUN
iajs-3943	51	13	[	[	PUNCT
iajs-3943	51	14	]	]	X
iajs-3943	51	15	[	[	PUNCT
iajs-3943	51	16	]	]	X
iajs-3943	51	17	satisfies	satisfie	NOUN
iajs-3943	51	18	:	:	PUNCT
iajs-3943	51	19	is	be	AUX
iajs-3943	51	20	strictly	strictly	ADV
iajs-3943	51	21	decreasing	decrease	VERB
iajs-3943	51	22	,	,	PUNCT
iajs-3943	51	23	is	be	AUX
iajs-3943	51	24	continuous	continuous	ADJ
iajs-3943	51	25	,	,	PUNCT
iajs-3943	51	26	if	if	SCONJ
iajs-3943	51	27	and	and	CCONJ
iajs-3943	51	28	only	only	ADV
iajs-3943	51	29	if	if	SCONJ
iajs-3943	51	30	,	,	PUNCT
iajs-3943	51	31	(	(	PUNCT
iajs-3943	51	32	)	)	PUNCT
iajs-3943	51	33	(	(	PUNCT
iajs-3943	51	34	)	)	PUNCT
iajs-3943	51	35	is	be	AUX
iajs-3943	51	36	called	call	VERB
iajs-3943	51	37	-function	-function	NOUN
iajs-3943	51	38	.	.	PUNCT
iajs-3943	52	1	we	we	PRON
iajs-3943	52	2	use	use	VERB
iajs-3943	52	3	-function	-function	NOUN
iajs-3943	52	4	to	to	PART
iajs-3943	52	5	define	define	VERB
iajs-3943	52	6	two	two	NUM
iajs-3943	52	7	types	type	NOUN
iajs-3943	52	8	of	of	ADP
iajs-3943	52	9	contraction	contraction	NOUN
iajs-3943	52	10	mappings	mapping	NOUN
iajs-3943	52	11	definition	definition	NOUN
iajs-3943	52	12	3.2	3.2	NUM
iajs-3943	52	13	:	:	PUNCT
iajs-3943	52	14	let	let	AUX
iajs-3943	52	15	be	be	AUX
iajs-3943	52	16	a	a	DET
iajs-3943	52	17	fb	fb	NOUN
iajs-3943	52	18	-	-	PUNCT
iajs-3943	52	19	ms	ms	NOUN
iajs-3943	52	20	,	,	PUNCT
iajs-3943	52	21	be	be	AUX
iajs-3943	52	22	a	a	DET
iajs-3943	52	23	self	self	NOUN
iajs-3943	52	24	–	–	PUNCT
iajs-3943	52	25	mapping	mapping	NOUN
iajs-3943	52	26	on	on	ADP
iajs-3943	52	27	,	,	PUNCT
iajs-3943	52	28	and	and	CCONJ
iajs-3943	52	29	[	[	PUNCT
iajs-3943	52	30	]	]	X
iajs-3943	52	31	[	[	PUNCT
iajs-3943	52	32	]	]	X
iajs-3943	52	33	be	be	AUX
iajs-3943	52	34	function	function	NOUN
iajs-3943	52	35	and	and	CCONJ
iajs-3943	52	36	be	be	AUX
iajs-3943	52	37	a	a	DET
iajs-3943	52	38	mapping	mapping	NOUN
iajs-3943	52	39	then	then	ADV
iajs-3943	52	40	1	1	NUM
iajs-3943	52	41	is	be	AUX
iajs-3943	52	42	called	call	VERB
iajs-3943	52	43	–	–	PUNCT
iajs-3943	52	44	contraction	contraction	NOUN
iajs-3943	52	45	of	of	ADP
iajs-3943	52	46	type	type	NOUN
iajs-3943	52	47	)	)	PUNCT
iajs-3943	52	48	if	if	SCONJ
iajs-3943	52	49	there	there	PRON
iajs-3943	52	50	is	be	VERB
iajs-3943	52	51	such	such	ADJ
iajs-3943	52	52	that	that	SCONJ
iajs-3943	52	53	,	,	PUNCT
iajs-3943	52	54	for	for	ADP
iajs-3943	52	55	all	all	PRON
iajs-3943	52	56	(	(	PUNCT
iajs-3943	52	57	(	(	PUNCT
iajs-3943	52	58	)	)	PUNCT
iajs-3943	52	59	)	)	PUNCT
iajs-3943	52	60	(	(	PUNCT
iajs-3943	52	61	1	1	X
iajs-3943	52	62	)	)	PUNCT
iajs-3943	52	63	2	2	NUM
iajs-3943	52	64	is	be	AUX
iajs-3943	52	65	called	call	VERB
iajs-3943	52	66	–	–	PUNCT
iajs-3943	52	67	contraction	contraction	NOUN
iajs-3943	52	68	of	of	ADP
iajs-3943	52	69	type	type	NOUN
iajs-3943	52	70	)	)	PUNCT
iajs-3943	52	71	if	if	SCONJ
iajs-3943	52	72	(	(	PUNCT
iajs-3943	52	73	)	)	PUNCT
iajs-3943	52	74	(	(	PUNCT
iajs-3943	52	75	)	)	PUNCT
iajs-3943	52	76	(	(	PUNCT
iajs-3943	52	77	2	2	X
iajs-3943	52	78	)	)	PUNCT
iajs-3943	52	79	for	for	ADP
iajs-3943	52	80	all	all	PRON
iajs-3943	52	81	and	and	CCONJ
iajs-3943	52	82	.	.	PUNCT
iajs-3943	53	1	theorem	theorem	VERB
iajs-3943	53	2	3.3	3.3	NUM
iajs-3943	53	3	:	:	PUNCT
iajs-3943	53	4	let	let	AUX
iajs-3943	53	5	be	be	AUX
iajs-3943	53	6	a	a	DET
iajs-3943	53	7	complete	complete	ADJ
iajs-3943	53	8	fb	fb	NOUN
iajs-3943	53	9	-	-	PUNCT
iajs-3943	53	10	ms	ms	NOUN
iajs-3943	53	11	and	and	CCONJ
iajs-3943	53	12	let	let	VERB
iajs-3943	53	13	be	be	AUX
iajs-3943	53	14	of	of	ADP
iajs-3943	53	15	-type	-type	NOUN
iajs-3943	53	16	and	and	CCONJ
iajs-3943	53	17	be	be	AUX
iajs-3943	53	18	a	a	DET
iajs-3943	53	19	–	–	PUNCT
iajs-3943	53	20	ihjpas	ihjpa	NOUN
iajs-3943	53	21	.	.	PUNCT
iajs-3943	54	1	2025	2025	NUM
iajs-3943	54	2	,	,	PUNCT
iajs-3943	54	3	38(3	38(3	NUM
iajs-3943	54	4	)	)	PUNCT
iajs-3943	54	5	364	364	NUM
iajs-3943	54	6	contraction	contraction	NOUN
iajs-3943	54	7	mapping	mapping	NOUN
iajs-3943	54	8	of	of	ADP
iajs-3943	54	9	type	type	NOUN
iajs-3943	54	10	(	(	PUNCT
iajs-3943	54	11	.	.	PUNCT
iajs-3943	55	1	if	if	SCONJ
iajs-3943	55	2	for	for	ADP
iajs-3943	55	3	there	there	PRON
iajs-3943	55	4	is	be	VERB
iajs-3943	55	5	and	and	CCONJ
iajs-3943	55	6	such	such	ADJ
iajs-3943	55	7	that	that	PRON
iajs-3943	55	8	(	(	PUNCT
iajs-3943	55	9	)	)	PUNCT
iajs-3943	55	10	1	1	NUM
iajs-3943	55	11	;	;	PUNCT
iajs-3943	55	12	.	.	PUNCT
iajs-3943	56	1	then	then	ADV
iajs-3943	56	2	there	there	PRON
iajs-3943	56	3	is	be	VERB
iajs-3943	56	4	a	a	DET
iajs-3943	56	5	unique	unique	ADJ
iajs-3943	56	6	fixed	fix	VERB
iajs-3943	56	7	point	point	NOUN
iajs-3943	56	8	for	for	ADP
iajs-3943	56	9	.	.	PUNCT
iajs-3943	57	1	proof	proof	NOUN
iajs-3943	57	2	:	:	PUNCT
iajs-3943	57	3	let	let	VERB
iajs-3943	57	4	.	.	PUNCT
iajs-3943	58	1	define	define	VERB
iajs-3943	58	2	for	for	ADP
iajs-3943	58	3	each	each	PRON
iajs-3943	58	4	{	{	PUNCT
iajs-3943	58	5	}	}	PUNCT
iajs-3943	58	6	and	and	CCONJ
iajs-3943	58	7	to	to	PART
iajs-3943	58	8	prove	prove	VERB
iajs-3943	58	9	has	have	VERB
iajs-3943	58	10	a	a	DET
iajs-3943	58	11	fixed	fix	VERB
iajs-3943	58	12	point	point	NOUN
iajs-3943	58	13	we	we	PRON
iajs-3943	58	14	have	have	VERB
iajs-3943	58	15	two	two	NUM
iajs-3943	58	16	cases	case	NOUN
iajs-3943	58	17	case	case	NOUN
iajs-3943	58	18	1	1	NUM
iajs-3943	58	19	if	if	SCONJ
iajs-3943	58	20	[	[	PUNCT
iajs-3943	58	21	]	]	X
iajs-3943	58	22	:	:	PUNCT
iajs-3943	58	23	thus	thus	ADV
iajs-3943	58	24	there	there	PRON
iajs-3943	58	25	is	be	VERB
iajs-3943	58	26	then	then	ADV
iajs-3943	58	27	i.e	i.e	INTJ
iajs-3943	58	28	,	,	PUNCT
iajs-3943	58	29	then	then	ADV
iajs-3943	58	30	is	be	AUX
iajs-3943	58	31	a	a	DET
iajs-3943	58	32	fixed	fix	VERB
iajs-3943	58	33	point	point	NOUN
iajs-3943	58	34	of	of	ADP
iajs-3943	58	35	.	.	PUNCT
iajs-3943	59	1	case	case	NOUN
iajs-3943	59	2	2	2	NUM
iajs-3943	59	3	if	if	SCONJ
iajs-3943	59	4	[	[	X
iajs-3943	59	5	]	]	X
iajs-3943	59	6	:	:	PUNCT
iajs-3943	59	7	hence	hence	ADV
iajs-3943	59	8	for	for	ADP
iajs-3943	59	9	all	all	PRON
iajs-3943	59	10	.	.	PUNCT
iajs-3943	60	1	from	from	ADP
iajs-3943	60	2	equation	equation	NOUN
iajs-3943	60	3	(	(	PUNCT
iajs-3943	60	4	1	1	X
iajs-3943	60	5	)	)	PUNCT
iajs-3943	60	6	we	we	PRON
iajs-3943	60	7	get	get	VERB
iajs-3943	60	8	(	(	PUNCT
iajs-3943	60	9	)	)	PUNCT
iajs-3943	60	10	(	(	PUNCT
iajs-3943	60	11	(	(	PUNCT
iajs-3943	60	12	)	)	PUNCT
iajs-3943	60	13	)	)	PUNCT
iajs-3943	61	1	(	(	PUNCT
iajs-3943	61	2	(	(	PUNCT
iajs-3943	61	3	)	)	PUNCT
iajs-3943	61	4	)	)	PUNCT
iajs-3943	61	5	.	.	PUNCT
iajs-3943	62	1	(	(	PUNCT
iajs-3943	62	2	3	3	X
iajs-3943	62	3	)	)	PUNCT
iajs-3943	62	4	claim	claim	NOUN
iajs-3943	62	5	:	:	PUNCT
iajs-3943	62	6	(	(	PUNCT
iajs-3943	62	7	)	)	PUNCT
iajs-3943	62	8	for	for	ADP
iajs-3943	62	9	all	all	PRON
iajs-3943	62	10	and	and	CCONJ
iajs-3943	62	11	.	.	PUNCT
iajs-3943	63	1	assume	assume	VERB
iajs-3943	63	2	(	(	PUNCT
iajs-3943	63	3	)	)	PUNCT
iajs-3943	63	4	,	,	PUNCT
iajs-3943	63	5	since	since	SCONJ
iajs-3943	63	6	is	be	AUX
iajs-3943	63	7	strictly	strictly	ADV
iajs-3943	63	8	decreasing	decrease	VERB
iajs-3943	63	9	,	,	PUNCT
iajs-3943	63	10	hence	hence	ADV
iajs-3943	63	11	(	(	PUNCT
iajs-3943	63	12	(	(	PUNCT
iajs-3943	63	13	)	)	PUNCT
iajs-3943	63	14	)	)	PUNCT
iajs-3943	63	15	(	(	PUNCT
iajs-3943	63	16	)	)	PUNCT
iajs-3943	63	17	which	which	PRON
iajs-3943	63	18	is	be	AUX
iajs-3943	63	19	contradiction	contradiction	NOUN
iajs-3943	63	20	with	with	ADP
iajs-3943	63	21	equation	equation	NOUN
iajs-3943	63	22	(	(	PUNCT
iajs-3943	63	23	3	3	NUM
iajs-3943	63	24	)	)	PUNCT
iajs-3943	63	25	,	,	PUNCT
iajs-3943	63	26	so	so	CCONJ
iajs-3943	63	27	(	(	PUNCT
iajs-3943	63	28	)	)	PUNCT
iajs-3943	63	29	through	through	ADP
iajs-3943	63	30	proposition	proposition	NOUN
iajs-3943	63	31	(	(	PUNCT
iajs-3943	63	32	2.13	2.13	NUM
iajs-3943	63	33	)	)	PUNCT
iajs-3943	63	34	we	we	PRON
iajs-3943	63	35	hence	hence	ADV
iajs-3943	63	36	is	be	AUX
iajs-3943	63	37	a	a	DET
iajs-3943	63	38	cauchy	cauchy	ADJ
iajs-3943	63	39	sequence	sequence	NOUN
iajs-3943	63	40	.	.	PUNCT
iajs-3943	64	1	as	as	SCONJ
iajs-3943	64	2	is	be	AUX
iajs-3943	64	3	a	a	DET
iajs-3943	64	4	complete	complete	ADJ
iajs-3943	64	5	fb	fb	NOUN
iajs-3943	64	6	-	-	PUNCT
iajs-3943	64	7	ms	ms	NOUN
iajs-3943	64	8	,	,	PUNCT
iajs-3943	64	9	thus	thus	ADV
iajs-3943	64	10	.	.	PUNCT
iajs-3943	65	1	let	let	VERB
iajs-3943	65	2	and	and	CCONJ
iajs-3943	65	3	2=1	2=1	NUM
iajs-3943	65	4	–	–	PUNCT
iajs-3943	65	5	1	1	NUM
iajs-3943	65	6	.	.	PUNCT
iajs-3943	66	1	by	by	ADP
iajs-3943	66	2	the	the	DET
iajs-3943	66	3	definition	definition	NOUN
iajs-3943	66	4	(	(	PUNCT
iajs-3943	66	5	(	(	PUNCT
iajs-3943	66	6	2.5	2.5	NUM
iajs-3943	66	7	)	)	PUNCT
iajs-3943	66	8	,	,	PUNCT
iajs-3943	66	9	part	part	NOUN
iajs-3943	66	10	4	4	NUM
iajs-3943	66	11	)	)	PUNCT
iajs-3943	66	12	)	)	PUNCT
iajs-3943	66	13	.	.	PUNCT
iajs-3943	67	1	(	(	PUNCT
iajs-3943	67	2	(	(	PUNCT
iajs-3943	67	3	)	)	PUNCT
iajs-3943	67	4	(	(	PUNCT
iajs-3943	67	5	)	)	PUNCT
iajs-3943	67	6	)	)	PUNCT
iajs-3943	67	7	since	since	SCONJ
iajs-3943	67	8	is	be	AUX
iajs-3943	67	9	strictly	strictly	ADV
iajs-3943	67	10	decreasing	decrease	VERB
iajs-3943	67	11	and	and	CCONJ
iajs-3943	67	12	by	by	ADP
iajs-3943	67	13	definition	definition	NOUN
iajs-3943	67	14	(	(	PUNCT
iajs-3943	67	15	(	(	PUNCT
iajs-3943	67	16	3.1	3.1	NUM
iajs-3943	67	17	)	)	PUNCT
iajs-3943	67	18	,	,	PUNCT
iajs-3943	67	19	part	part	NOUN
iajs-3943	67	20	(	(	PUNCT
iajs-3943	67	21	4	4	NUM
iajs-3943	67	22	)	)	PUNCT
iajs-3943	67	23	)	)	PUNCT
iajs-3943	67	24	implies	imply	VERB
iajs-3943	67	25	that	that	SCONJ
iajs-3943	67	26	(	(	PUNCT
iajs-3943	67	27	(	(	PUNCT
iajs-3943	67	28	(	(	PUNCT
iajs-3943	67	29	)	)	PUNCT
iajs-3943	67	30	(	(	PUNCT
iajs-3943	67	31	)	)	PUNCT
iajs-3943	67	32	)	)	PUNCT
iajs-3943	67	33	)	)	PUNCT
iajs-3943	68	1	(	(	PUNCT
iajs-3943	68	2	(	(	PUNCT
iajs-3943	68	3	(	(	PUNCT
iajs-3943	68	4	)	)	PUNCT
iajs-3943	68	5	)	)	PUNCT
iajs-3943	68	6	(	(	PUNCT
iajs-3943	68	7	(	(	PUNCT
iajs-3943	68	8	)	)	PUNCT
iajs-3943	68	9	)	)	PUNCT
iajs-3943	68	10	)	)	PUNCT
iajs-3943	69	1	by	by	ADP
iajs-3943	69	2	equation	equation	NOUN
iajs-3943	69	3	(	(	PUNCT
iajs-3943	69	4	1	1	X
iajs-3943	69	5	)	)	PUNCT
iajs-3943	69	6	we	we	PRON
iajs-3943	69	7	get	get	VERB
iajs-3943	69	8	(	(	PUNCT
iajs-3943	69	9	(	(	PUNCT
iajs-3943	69	10	(	(	PUNCT
iajs-3943	69	11	)	)	PUNCT
iajs-3943	69	12	(	(	PUNCT
iajs-3943	69	13	)	)	PUNCT
iajs-3943	69	14	)	)	PUNCT
iajs-3943	69	15	(	(	PUNCT
iajs-3943	69	16	(	(	PUNCT
iajs-3943	69	17	)	)	PUNCT
iajs-3943	69	18	)	)	PUNCT
iajs-3943	69	19	)	)	PUNCT
iajs-3943	69	20	as	as	ADP
iajs-3943	69	21	,	,	PUNCT
iajs-3943	69	22	thanks	thank	NOUN
iajs-3943	69	23	to	to	ADP
iajs-3943	69	24	the	the	DET
iajs-3943	69	25	continuity	continuity	NOUN
iajs-3943	69	26	of	of	ADP
iajs-3943	69	27	,	,	PUNCT
iajs-3943	69	28	and	and	CCONJ
iajs-3943	69	29	by	by	ADP
iajs-3943	69	30	definition	definition	NOUN
iajs-3943	69	31	(	(	PUNCT
iajs-3943	69	32	(	(	PUNCT
iajs-3943	69	33	3.1	3.1	NUM
iajs-3943	69	34	)	)	PUNCT
iajs-3943	69	35	,	,	PUNCT
iajs-3943	69	36	part	part	NOUN
iajs-3943	69	37	(	(	PUNCT
iajs-3943	69	38	3	3	NUM
iajs-3943	69	39	)	)	PUNCT
iajs-3943	69	40	)	)	PUNCT
iajs-3943	69	41	(	(	PUNCT
iajs-3943	69	42	)	)	PUNCT
iajs-3943	69	43	(	(	PUNCT
iajs-3943	69	44	(	(	PUNCT
iajs-3943	69	45	(	(	PUNCT
iajs-3943	69	46	)	)	PUNCT
iajs-3943	69	47	)	)	PUNCT
iajs-3943	69	48	)	)	PUNCT
iajs-3943	70	1	we	we	PRON
iajs-3943	70	2	have	have	AUX
iajs-3943	70	3	(	(	PUNCT
iajs-3943	70	4	)	)	PUNCT
iajs-3943	70	5	implies	imply	VERB
iajs-3943	70	6	that	that	SCONJ
iajs-3943	70	7	,	,	PUNCT
iajs-3943	70	8	hence	hence	ADV
iajs-3943	70	9	assume	assume	VERB
iajs-3943	70	10	that	that	PRON
iajs-3943	70	11	has	have	VERB
iajs-3943	70	12	another	another	DET
iajs-3943	70	13	fixed	fix	VERB
iajs-3943	70	14	point	point	NOUN
iajs-3943	70	15	say	say	VERB
iajs-3943	70	16	assume	assume	VERB
iajs-3943	70	17	(	(	PUNCT
iajs-3943	70	18	)	)	PUNCT
iajs-3943	70	19	,	,	PUNCT
iajs-3943	70	20	since	since	SCONJ
iajs-3943	70	21	is	be	AUX
iajs-3943	70	22	strictly	strictly	ADV
iajs-3943	70	23	decreasing	decrease	VERB
iajs-3943	70	24	,	,	PUNCT
iajs-3943	70	25	then	then	ADV
iajs-3943	70	26	(	(	PUNCT
iajs-3943	70	27	(	(	PUNCT
iajs-3943	70	28	)	)	PUNCT
iajs-3943	70	29	)	)	PUNCT
iajs-3943	70	30	,	,	PUNCT
iajs-3943	70	31	which	which	PRON
iajs-3943	70	32	is	be	AUX
iajs-3943	70	33	contradiction	contradiction	NOUN
iajs-3943	70	34	with	with	ADP
iajs-3943	70	35	equation	equation	NOUN
iajs-3943	70	36	(	(	PUNCT
iajs-3943	70	37	1	1	NUM
iajs-3943	70	38	)	)	PUNCT
iajs-3943	70	39	,	,	PUNCT
iajs-3943	70	40	we	we	PRON
iajs-3943	70	41	get	get	VERB
iajs-3943	70	42	(	(	PUNCT
iajs-3943	70	43	)	)	PUNCT
iajs-3943	70	44	.	.	PUNCT
iajs-3943	71	1	there	there	ADV
iajs-3943	71	2	for	for	ADP
iajs-3943	71	3	by	by	ADP
iajs-3943	71	4	proposition	proposition	NOUN
iajs-3943	71	5	(	(	PUNCT
iajs-3943	71	6	2.14	2.14	NUM
iajs-3943	71	7	)	)	PUNCT
iajs-3943	71	8	in	in	ADP
iajs-3943	71	9	the	the	DET
iajs-3943	71	10	following	follow	VERB
iajs-3943	71	11	finding	finding	NOUN
iajs-3943	71	12	,	,	PUNCT
iajs-3943	71	13	we	we	PRON
iajs-3943	71	14	established	establish	VERB
iajs-3943	71	15	the	the	DET
iajs-3943	71	16	presence	presence	NOUN
iajs-3943	71	17	of	of	ADP
iajs-3943	71	18	a	a	DET
iajs-3943	71	19	fixed	fix	VERB
iajs-3943	71	20	point	point	NOUN
iajs-3943	71	21	in	in	ADP
iajs-3943	71	22	a	a	DET
iajs-3943	71	23	compact	compact	ADJ
iajs-3943	71	24	fb	fb	NOUN
iajs-3943	71	25	-	-	PUNCT
iajs-3943	71	26	ms	ms	PROPN
iajs-3943	71	27	.	.	PROPN
iajs-3943	71	28	theorem	theorem	PROPN
iajs-3943	71	29	3.4	3.4	NUM
iajs-3943	71	30	:	:	PUNCT
iajs-3943	71	31	suppose	suppose	VERB
iajs-3943	71	32	be	be	AUX
iajs-3943	71	33	a	a	DET
iajs-3943	71	34	compact	compact	ADJ
iajs-3943	71	35	fb	fb	NOUN
iajs-3943	71	36	-	-	PUNCT
iajs-3943	71	37	ms	ms	NOUN
iajs-3943	71	38	and	and	CCONJ
iajs-3943	71	39	be	be	AUX
iajs-3943	71	40	continuous	continuous	ADJ
iajs-3943	71	41	contraction	contraction	NOUN
iajs-3943	71	42	of	of	ADP
iajs-3943	71	43	type	type	NOUN
iajs-3943	71	44	(	(	PUNCT
iajs-3943	71	45	.	.	PUNCT
iajs-3943	72	1	then	then	ADV
iajs-3943	72	2	there	there	PRON
iajs-3943	72	3	is	be	VERB
iajs-3943	72	4	a	a	DET
iajs-3943	72	5	fixed	fixed	ADJ
iajs-3943	72	6	point	point	NOUN
iajs-3943	72	7	that	that	PRON
iajs-3943	72	8	is	be	AUX
iajs-3943	72	9	unique	unique	ADJ
iajs-3943	72	10	to	to	ADP
iajs-3943	72	11	in	in	ADV
iajs-3943	72	12	.	.	PUNCT
iajs-3943	73	1	proof	proof	NOUN
iajs-3943	73	2	:	:	PUNCT
iajs-3943	73	3	assume	assume	VERB
iajs-3943	73	4	.	.	PUNCT
iajs-3943	74	1	define	define	VERB
iajs-3943	74	2	with	with	ADP
iajs-3943	74	3	{	{	PUNCT
iajs-3943	74	4	}	}	PUNCT
iajs-3943	74	5	ihjpas	ihjpas	PROPN
iajs-3943	74	6	.	.	PUNCT
iajs-3943	75	1	2025	2025	NUM
iajs-3943	75	2	,	,	PUNCT
iajs-3943	75	3	38(3	38(3	NUM
iajs-3943	75	4	)	)	PUNCT
iajs-3943	75	5	365	365	NUM
iajs-3943	75	6	now	now	ADV
iajs-3943	75	7	,	,	PUNCT
iajs-3943	75	8	there	there	PRON
iajs-3943	75	9	are	be	VERB
iajs-3943	75	10	two	two	NUM
iajs-3943	75	11	cases	case	NOUN
iajs-3943	75	12	:	:	PUNCT
iajs-3943	75	13	case	case	NOUN
iajs-3943	75	14	1	1	NUM
iajs-3943	75	15	[	[	PUNCT
iajs-3943	75	16	if	if	SCONJ
iajs-3943	75	17	for	for	ADP
iajs-3943	75	18	some	some	PRON
iajs-3943	75	19	]	]	PUNCT
iajs-3943	75	20	,	,	PUNCT
iajs-3943	75	21	so	so	ADV
iajs-3943	75	22	be	be	AUX
iajs-3943	75	23	a	a	DET
iajs-3943	75	24	fixed	fixed	ADJ
iajs-3943	75	25	point	point	NOUN
iajs-3943	75	26	of	of	ADP
iajs-3943	75	27	.	.	PUNCT
iajs-3943	76	1	case	case	NOUN
iajs-3943	76	2	2	2	NUM
iajs-3943	76	3	:	:	PUNCT
iajs-3943	76	4	[	[	X
iajs-3943	76	5	if	if	SCONJ
iajs-3943	76	6	for	for	ADP
iajs-3943	76	7	every	every	PRON
iajs-3943	76	8	]	]	X
iajs-3943	76	9	:	:	PUNCT
iajs-3943	76	10	since	since	SCONJ
iajs-3943	76	11	be	be	AUX
iajs-3943	76	12	a	a	DET
iajs-3943	76	13	compact	compact	ADJ
iajs-3943	76	14	fb	fb	NOUN
iajs-3943	76	15	-	-	PUNCT
iajs-3943	76	16	ms	ms	NOUN
iajs-3943	76	17	,	,	PUNCT
iajs-3943	76	18	then	then	ADV
iajs-3943	76	19	there	there	PRON
iajs-3943	76	20	is	be	VERB
iajs-3943	76	21	a	a	DET
iajs-3943	76	22	subsequence	subsequence	NOUN
iajs-3943	76	23	{	{	PUNCT
iajs-3943	76	24	}	}	PUNCT
iajs-3943	76	25	of	of	ADP
iajs-3943	76	26	{	{	PUNCT
iajs-3943	76	27	}	}	PUNCT
iajs-3943	76	28	such	such	ADJ
iajs-3943	76	29	that	that	DET
iajs-3943	76	30	convergent	convergent	NOUN
iajs-3943	76	31	to	to	AUX
iajs-3943	76	32	as	as	ADP
iajs-3943	76	33	.	.	PUNCT
iajs-3943	77	1	according	accord	VERB
iajs-3943	77	2	to	to	ADP
iajs-3943	77	3	continuity	continuity	NOUN
iajs-3943	77	4	of	of	ADP
iajs-3943	77	5	,	,	PUNCT
iajs-3943	77	6	we	we	PRON
iajs-3943	77	7	have	have	AUX
iajs-3943	77	8	and	and	CCONJ
iajs-3943	77	9	as	as	SCONJ
iajs-3943	77	10	is	be	AUX
iajs-3943	77	11	continuous	continuous	ADJ
iajs-3943	77	12	,	,	PUNCT
iajs-3943	77	13	we	we	PRON
iajs-3943	77	14	get	get	VERB
iajs-3943	77	15	but	but	CCONJ
iajs-3943	77	16	equation	equation	NOUN
iajs-3943	77	17	(	(	PUNCT
iajs-3943	77	18	4	4	X
iajs-3943	77	19	)	)	PUNCT
iajs-3943	77	20	contradiction	contradiction	NOUN
iajs-3943	77	21	with	with	ADP
iajs-3943	77	22	equation	equation	NOUN
iajs-3943	77	23	(	(	PUNCT
iajs-3943	77	24	2	2	NUM
iajs-3943	77	25	)	)	PUNCT
iajs-3943	77	26	,	,	PUNCT
iajs-3943	77	27	as	as	ADP
iajs-3943	77	28	(	(	PUNCT
iajs-3943	77	29	)	)	PUNCT
iajs-3943	77	30	(	(	PUNCT
iajs-3943	77	31	)	)	PUNCT
iajs-3943	77	32	(	(	PUNCT
iajs-3943	77	33	)	)	PUNCT
iajs-3943	77	34	furthermore	furthermore	ADV
iajs-3943	77	35	,	,	PUNCT
iajs-3943	77	36	assume	assume	VERB
iajs-3943	77	37	that	that	PRON
iajs-3943	77	38	has	have	VERB
iajs-3943	77	39	two	two	NUM
iajs-3943	77	40	fixed	fix	VERB
iajs-3943	77	41	point	point	NOUN
iajs-3943	77	42	say	say	VERB
iajs-3943	77	43	and	and	CCONJ
iajs-3943	77	44	this	this	DET
iajs-3943	77	45	lead	lead	NOUN
iajs-3943	77	46	to	to	ADP
iajs-3943	77	47	a	a	DET
iajs-3943	77	48	contradiction	contradiction	NOUN
iajs-3943	77	49	.	.	PUNCT
iajs-3943	78	1	therefore	therefore	ADV
iajs-3943	78	2	remark	remark	VERB
iajs-3943	78	3	:	:	PUNCT
iajs-3943	78	4	the	the	DET
iajs-3943	78	5	above	above	ADJ
iajs-3943	78	6	theorem	theorem	NOUN
iajs-3943	78	7	needs	need	VERB
iajs-3943	78	8	only	only	ADV
iajs-3943	78	9	condition(2	condition(2	ADJ
iajs-3943	78	10	)	)	PUNCT
iajs-3943	78	11	in	in	ADP
iajs-3943	78	12	the	the	DET
iajs-3943	78	13	definition	definition	NOUN
iajs-3943	78	14	(	(	PUNCT
iajs-3943	78	15	3.1	3.1	NUM
iajs-3943	78	16	)	)	PUNCT
iajs-3943	78	17	.	.	PUNCT
iajs-3943	79	1	4	4	X
iajs-3943	79	2	.	.	X
iajs-3943	79	3	conclusion	conclusion	NOUN
iajs-3943	79	4	based	base	VERB
iajs-3943	79	5	on	on	ADP
iajs-3943	79	6	the	the	DET
iajs-3943	79	7	results	result	NOUN
iajs-3943	79	8	,	,	PUNCT
iajs-3943	79	9	we	we	PRON
iajs-3943	79	10	will	will	AUX
iajs-3943	79	11	complete	complete	VERB
iajs-3943	79	12	the	the	DET
iajs-3943	79	13	study	study	NOUN
iajs-3943	79	14	of	of	ADP
iajs-3943	79	15	many	many	ADJ
iajs-3943	79	16	authors	author	NOUN
iajs-3943	79	17	about	about	ADP
iajs-3943	79	18	fixed	fix	VERB
iajs-3943	79	19	point	point	NOUN
iajs-3943	79	20	theory	theory	NOUN
iajs-3943	79	21	on	on	ADP
iajs-3943	79	22	fuzzy	fuzzy	ADJ
iajs-3943	79	23	metric	metric	ADJ
iajs-3943	79	24	spaces	space	NOUN
iajs-3943	79	25	,	,	PUNCT
iajs-3943	79	26	by	by	ADP
iajs-3943	79	27	using	use	VERB
iajs-3943	79	28	–	–	PUNCT
iajs-3943	79	29	contraction	contraction	NOUN
iajs-3943	79	30	mappings	mapping	NOUN
iajs-3943	79	31	of	of	ADP
iajs-3943	79	32	type	type	NOUN
iajs-3943	79	33	and	and	CCONJ
iajs-3943	79	34	to	to	PART
iajs-3943	79	35	show	show	VERB
iajs-3943	79	36	existence	existence	NOUN
iajs-3943	79	37	of	of	ADP
iajs-3943	79	38	fixed	fix	VERB
iajs-3943	79	39	points	point	NOUN
iajs-3943	79	40	for	for	ADP
iajs-3943	79	41	this	this	DET
iajs-3943	79	42	type	type	NOUN
iajs-3943	79	43	of	of	ADP
iajs-3943	79	44	self	self	NOUN
iajs-3943	79	45	-	-	PUNCT
iajs-3943	79	46	mapping	mapping	NOUN
iajs-3943	79	47	.	.	PUNCT
iajs-3943	80	1	acknowledgment	acknowledgment	NOUN
iajs-3943	80	2	the	the	DET
iajs-3943	80	3	authors	author	NOUN
iajs-3943	80	4	are	be	AUX
iajs-3943	80	5	greatly	greatly	ADV
iajs-3943	80	6	appreciated	appreciate	VERB
iajs-3943	80	7	the	the	DET
iajs-3943	80	8	referees	referee	NOUN
iajs-3943	80	9	for	for	ADP
iajs-3943	80	10	their	their	PRON
iajs-3943	80	11	valuable	valuable	ADJ
iajs-3943	80	12	comment	comment	NOUN
iajs-3943	80	13	and	and	CCONJ
iajs-3943	80	14	suggestions	suggestion	NOUN
iajs-3943	80	15	for	for	ADP
iajs-3943	80	16	improving	improve	VERB
iajs-3943	80	17	the	the	DET
iajs-3943	80	18	paper	paper	NOUN
iajs-3943	80	19	.	.	PUNCT
iajs-3943	81	1	conflict	conflict	NOUN
iajs-3943	81	2	of	of	ADP
iajs-3943	81	3	interest	interest	NOUN
iajs-3943	81	4	the	the	DET
iajs-3943	81	5	authors	author	NOUN
iajs-3943	81	6	declare	declare	VERB
iajs-3943	81	7	that	that	SCONJ
iajs-3943	81	8	they	they	PRON
iajs-3943	81	9	have	have	VERB
iajs-3943	81	10	no	no	DET
iajs-3943	81	11	conflicts	conflict	NOUN
iajs-3943	81	12	of	of	ADP
iajs-3943	81	13	interest	interest	NOUN
iajs-3943	81	14	.	.	PUNCT
iajs-3943	82	1	funding	funding	NOUN
iajs-3943	82	2	there	there	PRON
iajs-3943	82	3	is	be	VERB
iajs-3943	82	4	no	no	DET
iajs-3943	82	5	financial	financial	ADJ
iajs-3943	82	6	support	support	NOUN
iajs-3943	82	7	in	in	ADP
iajs-3943	82	8	preparation	preparation	NOUN
iajs-3943	82	9	for	for	ADP
iajs-3943	82	10	the	the	DET
iajs-3943	82	11	publication	publication	NOUN
iajs-3943	82	12	.	.	PUNCT
iajs-3943	83	1	references	reference	NOUN
iajs-3943	83	2	1	1	NUM
iajs-3943	83	3	.	.	PUNCT
iajs-3943	84	1	ashraf	ashraf	PROPN
iajs-3943	84	2	m.s	m.s	PROPN
iajs-3943	84	3	.	.	PROPN
iajs-3943	84	4	fixed	fix	VERB
iajs-3943	84	5	point	point	NOUN
iajs-3943	84	6	theorems	theorem	NOUN
iajs-3943	84	7	in	in	ADP
iajs-3943	84	8	fuzzy	fuzzy	ADJ
iajs-3943	84	9	b	b	X
iajs-3943	84	10	-	-	PUNCT
iajs-3943	84	11	metric	metric	ADJ
iajs-3943	84	12	spaces	space	NOUN
iajs-3943	84	13	.	.	PUNCT
iajs-3943	85	1	phd	phd	NOUN
iajs-3943	85	2	dissertation	dissertation	NOUN
iajs-3943	85	3	,	,	PUNCT
iajs-3943	85	4	capital	capital	PROPN
iajs-3943	85	5	univ	univ	PROPN
iajs-3943	85	6	sci	sci	PROPN
iajs-3943	85	7	technol	technol	PROPN
iajs-3943	85	8	,	,	PUNCT
iajs-3943	85	9	islamabad	islamabad	PROPN
iajs-3943	85	10	capital	capital	NOUN
iajs-3943	85	11	territory	territory	NOUN
iajs-3943	85	12	,	,	PUNCT
iajs-3943	85	13	pakistan	pakistan	PROPN
iajs-3943	85	14	2022;1–137	2022;1–137	NUM
iajs-3943	85	15	.	.	PROPN
iajs-3943	86	1	2	2	NUM
iajs-3943	86	2	.	.	X
iajs-3943	86	3	rakić	rakić	PROPN
iajs-3943	86	4	d.	d.	PROPN
iajs-3943	86	5	,	,	PUNCT
iajs-3943	86	6	mukheimer	mukheimer	PROPN
iajs-3943	86	7	a.	a.	PROPN
iajs-3943	86	8	,	,	PUNCT
iajs-3943	86	9	došenović	došenović	PROPN
iajs-3943	86	10	t.	t.	PROPN
iajs-3943	86	11	,	,	PUNCT
iajs-3943	86	12	mitrović	mitrović	VERB
iajs-3943	86	13	z.d	z.d	PROPN
iajs-3943	86	14	.	.	PROPN
iajs-3943	86	15	,	,	PUNCT
iajs-3943	86	16	radenović	radenović	PROPN
iajs-3943	86	17	s.	s.	PROPN
iajs-3943	86	18	on	on	ADP
iajs-3943	86	19	some	some	DET
iajs-3943	86	20	new	new	ADJ
iajs-3943	86	21	fixed	fix	VERB
iajs-3943	86	22	point	point	NOUN
iajs-3943	86	23	results	result	NOUN
iajs-3943	86	24	in	in	ADP
iajs-3943	86	25	fuzzy	fuzzy	ADJ
iajs-3943	86	26	b	b	NOUN
iajs-3943	86	27	-	-	PUNCT
iajs-3943	86	28	metric	metric	ADJ
iajs-3943	86	29	spaces	space	NOUN
iajs-3943	86	30	.	.	PUNCT
iajs-3943	87	1	j	j	PROPN
iajs-3943	87	2	inequal	inequal	PROPN
iajs-3943	87	3	appl	appl	PROPN
iajs-3943	87	4	2020;99	2020;99	PROPN
iajs-3943	87	5	.	.	PUNCT
iajs-3943	88	1	https://doi.org/10.1186/s13660-02002371-3	https://doi.org/10.1186/s13660-02002371-3	PROPN
iajs-3943	88	2	3	3	NUM
iajs-3943	88	3	.	.	PUNCT
iajs-3943	89	1	shen	shen	PROPN
iajs-3943	89	2	y.	y.	PROPN
iajs-3943	89	3	,	,	PUNCT
iajs-3943	89	4	qiu	qiu	PROPN
iajs-3943	89	5	d.	d.	PROPN
iajs-3943	89	6	,	,	PUNCT
iajs-3943	89	7	chen	chen	PROPN
iajs-3943	89	8	w.	w.	PROPN
iajs-3943	89	9	fixed	fix	VERB
iajs-3943	89	10	point	point	NOUN
iajs-3943	89	11	theorems	theorem	NOUN
iajs-3943	89	12	in	in	ADP
iajs-3943	89	13	fuzzy	fuzzy	ADJ
iajs-3943	89	14	metric	metric	ADJ
iajs-3943	89	15	spaces	space	NOUN
iajs-3943	89	16	.	.	PUNCT
iajs-3943	90	1	appl	appl	PROPN
iajs-3943	90	2	math	math	PROPN
iajs-3943	90	3	lett	lett	PROPN
iajs-3943	90	4	2012;25:138–141	2012;25:138–141	PROPN
iajs-3943	90	5	.	.	PUNCT
iajs-3943	91	1	https://doi.org/10.1016/j.aml.2011.08.002	https://doi.org/10.1016/j.aml.2011.08.002	PROPN
iajs-3943	91	2	4	4	NUM
iajs-3943	91	3	.	.	PUNCT
iajs-3943	91	4	kramosil	kramosil	PROPN
iajs-3943	91	5	i.	i.	PROPN
iajs-3943	91	6	,	,	PUNCT
iajs-3943	91	7	michálek	michálek	NOUN
iajs-3943	91	8	j.	j.	PROPN
iajs-3943	91	9	fuzzy	fuzzy	ADJ
iajs-3943	91	10	metrics	metric	NOUN
iajs-3943	91	11	and	and	CCONJ
iajs-3943	91	12	statistical	statistical	ADJ
iajs-3943	91	13	metric	metric	ADJ
iajs-3943	91	14	spaces	space	NOUN
iajs-3943	91	15	.	.	PUNCT
iajs-3943	92	1	kybernetika	kybernetika	PROPN
iajs-3943	92	2	1975;11:336	1975;11:336	PROPN
iajs-3943	92	3	–	–	PUNCT
iajs-3943	92	4	344	344	NUM
iajs-3943	92	5	.	.	NOUN
iajs-3943	93	1	5	5	NUM
iajs-3943	93	2	.	.	X
iajs-3943	93	3	grabiec	grabiec	PROPN
iajs-3943	93	4	m.	m.	NOUN
iajs-3943	93	5	fixed	fix	VERB
iajs-3943	93	6	points	point	NOUN
iajs-3943	93	7	in	in	ADP
iajs-3943	93	8	fuzzy	fuzzy	ADJ
iajs-3943	93	9	metric	metric	ADJ
iajs-3943	93	10	spaces	space	NOUN
iajs-3943	93	11	.	.	PUNCT
iajs-3943	94	1	fuzzy	fuzzy	ADJ
iajs-3943	94	2	sets	set	VERB
iajs-3943	94	3	syst	syst	PROPN
iajs-3943	94	4	1988;27:385–389	1988;27:385–389	PROPN
iajs-3943	94	5	.	.	PUNCT
iajs-3943	95	1	https://doi.org/10.1016/0165-0114(88)90064-4	https://doi.org/10.1016/0165-0114(88)90064-4	PROPN
iajs-3943	95	2	6	6	NUM
iajs-3943	95	3	.	.	PUNCT
iajs-3943	95	4	bakhtin	bakhtin	PROPN
iajs-3943	95	5	i.	i.	PROPN
iajs-3943	96	1	the	the	DET
iajs-3943	96	2	contraction	contraction	NOUN
iajs-3943	96	3	mapping	map	VERB
iajs-3943	96	4	principle	principle	NOUN
iajs-3943	96	5	in	in	ADP
iajs-3943	96	6	quasimetric	quasimetric	ADJ
iajs-3943	96	7	spaces	space	NOUN
iajs-3943	96	8	.	.	PUNCT
iajs-3943	97	1	func	func	VERB
iajs-3943	97	2	an	an	DET
iajs-3943	97	3	gos	gos	NOUN
iajs-3943	97	4	ped	ped	NOUN
iajs-3943	97	5	inst	inst	NOUN
iajs-3943	97	6	unianowsk	unianowsk	PROPN
iajs-3943	97	7	1989;30:26–37	1989;30:26–37	NUM
iajs-3943	97	8	.	.	PUNCT
iajs-3943	98	1	7	7	X
iajs-3943	98	2	.	.	X
iajs-3943	98	3	nădăban	nădăban	NOUN
iajs-3943	98	4	s.	s.	PROPN
iajs-3943	98	5	fuzzy	fuzzy	PROPN
iajs-3943	98	6	b	b	X
iajs-3943	98	7	-	-	PUNCT
iajs-3943	98	8	metric	metric	ADJ
iajs-3943	98	9	spaces	space	NOUN
iajs-3943	98	10	.	.	PUNCT
iajs-3943	99	1	int	int	PROPN
iajs-3943	99	2	j	j	PROPN
iajs-3943	99	3	comput	comput	PROPN
iajs-3943	99	4	commun	commun	PROPN
iajs-3943	99	5	control	control	PROPN
iajs-3943	99	6	2016;11:273–281	2016;11:273–281	NUM
iajs-3943	99	7	.	.	PUNCT
iajs-3943	99	8	8	8	NUM
iajs-3943	99	9	.	.	PUNCT
iajs-3943	100	1	george	george	PROPN
iajs-3943	100	2	a.	a.	PROPN
iajs-3943	100	3	,	,	PUNCT
iajs-3943	100	4	veeramani	veeramani	PUNCT
iajs-3943	100	5	p.	p.	NOUN
iajs-3943	100	6	on	on	ADP
iajs-3943	100	7	some	some	DET
iajs-3943	100	8	results	result	NOUN
iajs-3943	100	9	in	in	ADP
iajs-3943	100	10	fuzzy	fuzzy	ADJ
iajs-3943	100	11	metric	metric	ADJ
iajs-3943	100	12	spaces	space	NOUN
iajs-3943	100	13	.	.	PUNCT
iajs-3943	101	1	fuzzy	fuzzy	ADJ
iajs-3943	101	2	sets	set	VERB
iajs-3943	101	3	syst	syst	PROPN
iajs-3943	101	4	1994;64:395	1994;64:395	PROPN
iajs-3943	101	5	–	–	PUNCT
iajs-3943	101	6	(	(	PUNCT
iajs-3943	101	7	)	)	PUNCT
iajs-3943	101	8	(	(	PUNCT
iajs-3943	101	9	(	(	PUNCT
iajs-3943	101	10	)	)	PUNCT
iajs-3943	101	11	)	)	PUNCT
iajs-3943	101	12	(	(	PUNCT
iajs-3943	101	13	(	(	PUNCT
iajs-3943	101	14	)	)	PUNCT
iajs-3943	101	15	)	)	PUNCT
iajs-3943	101	16	(	(	PUNCT
iajs-3943	101	17	4	4	X
iajs-3943	101	18	)	)	PUNCT
iajs-3943	101	19	https://doi.org/10.1186/s13660-020-02371-3	https://doi.org/10.1186/s13660-020-02371-3	PROPN
iajs-3943	101	20	https://doi.org/10.1186/s13660-020-02371-3	https://doi.org/10.1186/s13660-020-02371-3	NUM
iajs-3943	102	1	https://doi.org/10.1016/j.aml.2011.08.002	https://doi.org/10.1016/j.aml.2011.08.002	NOUN
iajs-3943	102	2	https://doi.org/10.1016/0165-0114(88)90064-4	https://doi.org/10.1016/0165-0114(88)90064-4	PROPN
iajs-3943	102	3	ihjpas	ihjpa	VERB
iajs-3943	102	4	.	.	PUNCT
iajs-3943	103	1	2025	2025	NUM
iajs-3943	103	2	,	,	PUNCT
iajs-3943	103	3	38(3	38(3	NUM
iajs-3943	103	4	)	)	PUNCT
iajs-3943	103	5	366	366	NUM
iajs-3943	103	6	399	399	NUM
iajs-3943	103	7	.	.	PUNCT
iajs-3943	104	1	https://doi.org/10.1016/0165-0114(94)90162-7	https://doi.org/10.1016/0165-0114(94)90162-7	PROPN
iajs-3943	104	2	9	9	X
iajs-3943	104	3	.	.	PUNCT
iajs-3943	104	4	banach	banach	PROPN
iajs-3943	104	5	s.	s.	PROPN
iajs-3943	104	6	sures	sure	VERB
iajs-3943	104	7	opérations	opération	NOUN
iajs-3943	104	8	dans	dan	NOUN
iajs-3943	104	9	les	les	X
iajs-3943	104	10	ensembles	ensemble	NOUN
iajs-3943	104	11	abstraits	abstrait	NOUN
iajs-3943	104	12	et	et	PROPN
iajs-3943	104	13	leur	leur	X
iajs-3943	104	14	application	application	PROPN
iajs-3943	104	15	aux	aux	PROPN
iajs-3943	104	16	équations	équations	PROPN
iajs-3943	104	17	intégrales	intégrale	NOUN
iajs-3943	104	18	.	.	PUNCT
iajs-3943	105	1	fundam	fundam	PROPN
iajs-3943	105	2	math	math	PROPN
iajs-3943	105	3	1922;3:133–181	1922;3:133–181	NUM
iajs-3943	105	4	.	.	PUNCT
iajs-3943	106	1	10	10	NUM
iajs-3943	106	2	.	.	PUNCT
iajs-3943	107	1	jamil	jamil	PROPN
iajs-3943	107	2	z.z	z.z	PROPN
iajs-3943	107	3	.	.	PROPN
iajs-3943	107	4	,	,	PUNCT
iajs-3943	107	5	hussein	hussein	PROPN
iajs-3943	107	6	z.	z.	PROPN
iajs-3943	107	7	common	common	ADJ
iajs-3943	107	8	fixed	fix	VERB
iajs-3943	107	9	point	point	NOUN
iajs-3943	107	10	of	of	ADP
iajs-3943	107	11	jungck	jungck	PROPN
iajs-3943	107	12	picard	picard	PROPN
iajs-3943	107	13	iterative	iterative	NOUN
iajs-3943	107	14	for	for	ADP
iajs-3943	107	15	two	two	NUM
iajs-3943	107	16	weakly	weakly	ADJ
iajs-3943	107	17	compatible	compatible	ADJ
iajs-3943	107	18	self	self	NOUN
iajs-3943	107	19	-	-	PUNCT
iajs-3943	107	20	mappings	mapping	NOUN
iajs-3943	107	21	.	.	PUNCT
iajs-3943	108	1	iraqi	iraqi	ADJ
iajs-3943	108	2	j	j	PROPN
iajs-3943	108	3	sci	sci	PROPN
iajs-3943	108	4	2021;62	2021;62	NUM
iajs-3943	108	5	.	.	PUNCT
iajs-3943	108	6	https://doi.org/10.24996/10.24996/ijs.2021.62.5.32	https://doi.org/10.24996/10.24996/ijs.2021.62.5.32	PROPN
iajs-3943	108	7	11	11	NUM
iajs-3943	108	8	.	.	PUNCT
iajs-3943	109	1	maibed	maibed	PROPN
iajs-3943	109	2	z.	z.	PROPN
iajs-3943	109	3	generalized	generalize	VERB
iajs-3943	109	4	tupled	tuple	VERB
iajs-3943	109	5	common	common	ADJ
iajs-3943	109	6	fixed	fix	VERB
iajs-3943	109	7	point	point	NOUN
iajs-3943	109	8	theorems	theorem	NOUN
iajs-3943	109	9	for	for	ADP
iajs-3943	109	10	weakly	weakly	ADJ
iajs-3943	109	11	compatible	compatible	ADJ
iajs-3943	109	12	mappings	mapping	NOUN
iajs-3943	109	13	in	in	ADP
iajs-3943	109	14	fuzzy	fuzzy	ADJ
iajs-3943	109	15	metric	metric	ADJ
iajs-3943	109	16	space	space	NOUN
iajs-3943	109	17	.	.	PUNCT
iajs-3943	110	1	int	int	NOUN
iajs-3943	110	2	j	j	PROPN
iajs-3943	110	3	civil	civil	ADJ
iajs-3943	110	4	eng	eng	PROPN
iajs-3943	110	5	technol	technol	PROPN
iajs-3943	110	6	2019;10:255–273	2019;10:255–273	PROPN
iajs-3943	110	7	.	.	PROPN
iajs-3943	110	8	12	12	NUM
iajs-3943	110	9	.	.	PUNCT
iajs-3943	111	1	amini	amini	PROPN
iajs-3943	111	2	-	-	ADJ
iajs-3943	111	3	harandi	harandi	PROPN
iajs-3943	111	4	a.	a.	NOUN
iajs-3943	111	5	fixed	fix	VERB
iajs-3943	111	6	point	point	NOUN
iajs-3943	111	7	theory	theory	NOUN
iajs-3943	111	8	for	for	ADP
iajs-3943	111	9	set	set	NOUN
iajs-3943	111	10	-	-	PUNCT
iajs-3943	111	11	valued	value	VERB
iajs-3943	111	12	quasi	quasi	NOUN
iajs-3943	111	13	-	-	NOUN
iajs-3943	111	14	contraction	contraction	NOUN
iajs-3943	111	15	maps	map	NOUN
iajs-3943	111	16	in	in	ADP
iajs-3943	111	17	metric	metric	ADJ
iajs-3943	111	18	spaces	space	NOUN
iajs-3943	111	19	.	.	PUNCT
iajs-3943	112	1	appl	appl	PROPN
iajs-3943	112	2	math	math	PROPN
iajs-3943	112	3	lett	lett	PROPN
iajs-3943	112	4	2011;24:1791–1794	2011;24:1791–1794	PROPN
iajs-3943	112	5	.	.	PUNCT
iajs-3943	113	1	https://doi.org/10.1016/j.aml.2011.04.033	https://doi.org/10.1016/j.aml.2011.04.033	PROPN
iajs-3943	113	2	13	13	NUM
iajs-3943	113	3	.	.	PUNCT
iajs-3943	114	1	aydi	aydi	VERB
iajs-3943	114	2	h.	h.	NOUN
iajs-3943	114	3	,	,	PUNCT
iajs-3943	114	4	bota	bota	ADJ
iajs-3943	114	5	m.-f	m.-f	NOUN
iajs-3943	114	6	.	.	PUNCT
iajs-3943	114	7	,	,	PUNCT
iajs-3943	114	8	karapinar	karapinar	PROPN
iajs-3943	114	9	e.	e.	PROPN
iajs-3943	114	10	,	,	PUNCT
iajs-3943	114	11	moradi	moradi	PROPN
iajs-3943	114	12	s.	s.	PROPN
iajs-3943	114	13	a	a	DET
iajs-3943	114	14	common	common	ADJ
iajs-3943	114	15	fixed	fix	VERB
iajs-3943	114	16	point	point	NOUN
iajs-3943	114	17	for	for	ADP
iajs-3943	114	18	weak	weak	ADJ
iajs-3943	114	19	φ	φ	NOUN
iajs-3943	114	20	-	-	NOUN
iajs-3943	114	21	contractions	contraction	NOUN
iajs-3943	114	22	on	on	ADP
iajs-3943	114	23	bmetric	bmetric	ADJ
iajs-3943	114	24	spaces	space	NOUN
iajs-3943	114	25	.	.	PUNCT
iajs-3943	115	1	fixed	fix	VERB
iajs-3943	115	2	point	point	NOUN
iajs-3943	115	3	theory	theory	NOUN
iajs-3943	115	4	2012;13	2012;13	NUM
iajs-3943	115	5	.	.	PUNCT
iajs-3943	116	1	14	14	NUM
iajs-3943	116	2	.	.	PUNCT
iajs-3943	117	1	aydi	aydi	VERB
iajs-3943	117	2	h.	h.	PROPN
iajs-3943	117	3	,	,	PUNCT
iajs-3943	117	4	karapinar	karapinar	PROPN
iajs-3943	117	5	e.	e.	PROPN
iajs-3943	117	6	,	,	PUNCT
iajs-3943	117	7	roldán	roldán	PROPN
iajs-3943	117	8	lópez	lópez	PROPN
iajs-3943	117	9	de	de	PROPN
iajs-3943	117	10	hierro	hierro	PROPN
iajs-3943	117	11	a.f	a.f	PROPN
iajs-3943	117	12	.	.	PROPN
iajs-3943	118	1	ω	ω	PROPN
iajs-3943	118	2	-	-	ADJ
iajs-3943	118	3	interpolative	interpolative	ADJ
iajs-3943	118	4	ćirić	ćirić	NOUN
iajs-3943	118	5	-	-	PUNCT
iajs-3943	118	6	reich	reich	NOUN
iajs-3943	118	7	-	-	PUNCT
iajs-3943	118	8	rus	rus	NOUN
iajs-3943	118	9	-	-	PUNCT
iajs-3943	118	10	type	type	NOUN
iajs-3943	118	11	contractions	contraction	NOUN
iajs-3943	118	12	.	.	PUNCT
iajs-3943	119	1	mathematics	mathematic	NOUN
iajs-3943	119	2	2019;7	2019;7	NOUN
iajs-3943	119	3	.	.	PUNCT
iajs-3943	120	1	https://doi.org/10.3390/math7010057	https://doi.org/10.3390/math7010057	ADJ
iajs-3943	120	2	15	15	NUM
iajs-3943	120	3	.	.	PUNCT
iajs-3943	121	1	maibed	maibed	PROPN
iajs-3943	121	2	z.h	z.h	PROPN
iajs-3943	121	3	.	.	PROPN
iajs-3943	121	4	common	common	ADJ
iajs-3943	121	5	fixed	fix	VERB
iajs-3943	121	6	point	point	NOUN
iajs-3943	121	7	problem	problem	NOUN
iajs-3943	121	8	for	for	ADP
iajs-3943	121	9	classes	class	NOUN
iajs-3943	121	10	of	of	ADP
iajs-3943	121	11	nonlinear	nonlinear	ADJ
iajs-3943	121	12	maps	map	NOUN
iajs-3943	121	13	in	in	ADP
iajs-3943	121	14	hilbert	hilbert	NOUN
iajs-3943	121	15	space	space	NOUN
iajs-3943	121	16	.	.	PUNCT
iajs-3943	122	1	iop	iop	PROPN
iajs-3943	122	2	conf	conf	PROPN
iajs-3943	122	3	ser	ser	NOUN
iajs-3943	122	4	mater	mater	NOUN
iajs-3943	122	5	sci	sci	PROPN
iajs-3943	122	6	eng	eng	PROPN
iajs-3943	122	7	2020;871:012037	2020;871:012037	NUM
iajs-3943	122	8	.	.	PUNCT
iajs-3943	123	1	https://doi.org/10.1088/1757-899x/871/1/012037	https://doi.org/10.1088/1757-899x/871/1/012037	PROPN
iajs-3943	123	2	16	16	NUM
iajs-3943	123	3	.	.	PUNCT
iajs-3943	124	1	karapınar	karapınar	PROPN
iajs-3943	124	2	e.	e.	PROPN
iajs-3943	124	3	,	,	PUNCT
iajs-3943	124	4	samet	samet	PROPN
iajs-3943	124	5	b.	b.	PROPN
iajs-3943	124	6	,	,	PUNCT
iajs-3943	124	7	zhang	zhang	PROPN
iajs-3943	124	8	d.	d.	PROPN
iajs-3943	124	9	meir	meir	PROPN
iajs-3943	124	10	–	–	PUNCT
iajs-3943	124	11	keeler	keeler	PROPN
iajs-3943	124	12	type	type	NOUN
iajs-3943	124	13	contractions	contraction	NOUN
iajs-3943	124	14	on	on	ADP
iajs-3943	124	15	js	js	ADJ
iajs-3943	124	16	-	-	PUNCT
iajs-3943	124	17	metric	metric	ADJ
iajs-3943	124	18	spaces	space	NOUN
iajs-3943	124	19	and	and	CCONJ
iajs-3943	124	20	related	relate	VERB
iajs-3943	124	21	fixed	fix	VERB
iajs-3943	124	22	point	point	NOUN
iajs-3943	124	23	theorems	theorem	NOUN
iajs-3943	124	24	.	.	PUNCT
iajs-3943	125	1	j	j	PROPN
iajs-3943	125	2	fixed	fix	VERB
iajs-3943	125	3	point	point	NOUN
iajs-3943	125	4	theory	theory	NOUN
iajs-3943	125	5	appl	appl	PROPN
iajs-3943	125	6	2018;20:60	2018;20:60	NUM
iajs-3943	125	7	.	.	PUNCT
iajs-3943	126	1	https://doi.org/10.1007/s11784-0180544-3	https://doi.org/10.1007/s11784-0180544-3	PROPN
iajs-3943	126	2	17	17	NUM
iajs-3943	126	3	.	.	PUNCT
iajs-3943	126	4	thajil	thajil	PROPN
iajs-3943	127	1	a.q	a.q	PROPN
iajs-3943	127	2	.	.	PROPN
iajs-3943	127	3	,	,	PUNCT
iajs-3943	127	4	maibed	maibe	VERB
iajs-3943	127	5	z.h	z.h	NOUN
iajs-3943	127	6	.	.	PUNCT
iajs-3943	128	1	the	the	DET
iajs-3943	128	2	convergence	convergence	NOUN
iajs-3943	128	3	of	of	ADP
iajs-3943	128	4	iterative	iterative	ADJ
iajs-3943	128	5	methods	method	NOUN
iajs-3943	128	6	for	for	ADP
iajs-3943	128	7	quasi	quasi	PROPN
iajs-3943	128	8	δ	δ	PROPN
iajs-3943	128	9	-	-	PUNCT
iajs-3943	128	10	contraction	contraction	NOUN
iajs-3943	128	11	mappings	mapping	NOUN
iajs-3943	128	12	.	.	PUNCT
iajs-3943	129	1	j	j	PROPN
iajs-3943	129	2	phys	phys	PROPN
iajs-3943	129	3	conf	conf	NOUN
iajs-3943	129	4	ser	ser	NOUN
iajs-3943	129	5	2021;1804:012017	2021;1804:012017	NUM
iajs-3943	129	6	.	.	PUNCT
iajs-3943	130	1	https://dx.doi.org/10.1088/1742-6596/1804/1/012017	https://dx.doi.org/10.1088/1742-6596/1804/1/012017	ADV
iajs-3943	130	2	18	18	NUM
iajs-3943	130	3	.	.	PUNCT
iajs-3943	131	1	maibed	maibed	PROPN
iajs-3943	131	2	z.h	z.h	PROPN
iajs-3943	131	3	.	.	PROPN
iajs-3943	131	4	,	,	PUNCT
iajs-3943	131	5	hussein	hussein	PROPN
iajs-3943	131	6	s.s	s.s	PROPN
iajs-3943	131	7	.	.	PUNCT
iajs-3943	132	1	some	some	DET
iajs-3943	132	2	theorems	theorem	NOUN
iajs-3943	132	3	of	of	ADP
iajs-3943	132	4	fixed	fix	VERB
iajs-3943	132	5	point	point	NOUN
iajs-3943	132	6	approximations	approximation	NOUN
iajs-3943	132	7	by	by	ADP
iajs-3943	132	8	iteration	iteration	NOUN
iajs-3943	132	9	processes	process	NOUN
iajs-3943	132	10	.	.	PUNCT
iajs-3943	133	1	j	j	PROPN
iajs-3943	133	2	phys	phys	PROPN
iajs-3943	133	3	conf	conf	NOUN
iajs-3943	133	4	ser	ser	NOUN
iajs-3943	133	5	2021;1818:012153	2021;1818:012153	NUM
iajs-3943	133	6	.	.	PUNCT
iajs-3943	134	1	https://dx.doi.org/10.1088/1742-6596/1818/1/012153	https://dx.doi.org/10.1088/1742-6596/1818/1/012153	NOUN
iajs-3943	134	2	19	19	NUM
iajs-3943	134	3	.	.	PUNCT
iajs-3943	134	4	abbas	abbas	PROPN
iajs-3943	134	5	m.	m.	PROPN
iajs-3943	134	6	,	,	PUNCT
iajs-3943	134	7	lael	lael	PROPN
iajs-3943	134	8	f.	f.	PROPN
iajs-3943	134	9	,	,	PUNCT
iajs-3943	134	10	saleem	saleem	PROPN
iajs-3943	134	11	n.	n.	PROPN
iajs-3943	134	12	fuzzy	fuzzy	PROPN
iajs-3943	135	1	b	b	X
iajs-3943	135	2	-	-	PUNCT
iajs-3943	135	3	metric	metric	ADJ
iajs-3943	135	4	spaces	space	NOUN
iajs-3943	135	5	:	:	PUNCT
iajs-3943	135	6	fixed	fix	VERB
iajs-3943	135	7	point	point	NOUN
iajs-3943	135	8	results	result	VERB
iajs-3943	135	9	for	for	ADP
iajs-3943	135	10	ψ	ψ	NOUN
iajs-3943	135	11	-	-	NOUN
iajs-3943	135	12	contraction	contraction	NOUN
iajs-3943	135	13	correspondences	correspondence	NOUN
iajs-3943	135	14	and	and	CCONJ
iajs-3943	135	15	their	their	PRON
iajs-3943	135	16	application	application	NOUN
iajs-3943	135	17	.	.	PUNCT
iajs-3943	136	1	axioms	axiom	VERB
iajs-3943	136	2	2020;9	2020;9	NOUN
iajs-3943	136	3	.	.	PUNCT
iajs-3943	136	4	https://doi.org/10.3390/axioms9020036	https://doi.org/10.3390/axioms9020036	NOUN
iajs-3943	136	5	20	20	NUM
iajs-3943	136	6	.	.	PUNCT
iajs-3943	137	1	mitrović	mitrović	PROPN
iajs-3943	137	2	z.	z.	PROPN
iajs-3943	137	3	fixed	fix	VERB
iajs-3943	137	4	point	point	NOUN
iajs-3943	137	5	results	result	NOUN
iajs-3943	137	6	in	in	ADP
iajs-3943	137	7	b	b	NOUN
iajs-3943	137	8	-	-	PUNCT
iajs-3943	137	9	metric	metric	ADJ
iajs-3943	137	10	space	space	NOUN
iajs-3943	137	11	.	.	PUNCT
iajs-3943	138	1	fixed	fix	VERB
iajs-3943	138	2	point	point	NOUN
iajs-3943	138	3	theory	theory	NOUN
iajs-3943	138	4	2019;20:559–566	2019;20:559–566	PROPN
iajs-3943	138	5	.	.	PUNCT
iajs-3943	139	1	https://doi.org/10.24193/fpt-ro.2019.2.36	https://doi.org/10.24193/fpt-ro.2019.2.36	NOUN
iajs-3943	139	2	21	21	NUM
iajs-3943	139	3	.	.	PUNCT
iajs-3943	140	1	sabri	sabri	PROPN
iajs-3943	140	2	r.i	r.i	PROPN
iajs-3943	140	3	.	.	PROPN
iajs-3943	140	4	,	,	PUNCT
iajs-3943	140	5	ahmed	ahmed	PROPN
iajs-3943	140	6	b.a.a	b.a.a	PROPN
iajs-3943	140	7	.	.	PUNCT
iajs-3943	141	1	best	good	ADJ
iajs-3943	141	2	proximity	proximity	NOUN
iajs-3943	141	3	point	point	NOUN
iajs-3943	141	4	theorem	theorem	NOUN
iajs-3943	141	5	for	for	ADP
iajs-3943	141	6	–	–	PUNCT
iajs-3943	141	7	ψ	ψ	X
iajs-3943	141	8	-contractive	-contractive	ADJ
iajs-3943	141	9	type	type	NOUN
iajs-3943	141	10	mapping	mapping	NOUN
iajs-3943	141	11	in	in	ADP
iajs-3943	141	12	fuzzy	fuzzy	ADJ
iajs-3943	141	13	normed	normed	ADJ
iajs-3943	141	14	space	space	NOUN
iajs-3943	141	15	.	.	PUNCT
iajs-3943	142	1	baghdad	baghdad	PROPN
iajs-3943	142	2	sci	sci	PROPN
iajs-3943	143	1	j	j	PROPN
iajs-3943	143	2	2023;20:1722	2023;20:1722	X
iajs-3943	143	3	.	.	PUNCT
iajs-3943	144	1	https://doi.org/10.21123/bsj.2023.7509	https://doi.org/10.21123/bsj.2023.7509	PROPN
iajs-3943	144	2	22	22	NUM
iajs-3943	144	3	.	.	PUNCT
iajs-3943	145	1	maibed	maibed	PROPN
iajs-3943	145	2	z.h	z.h	PROPN
iajs-3943	145	3	.	.	PROPN
iajs-3943	145	4	,	,	PUNCT
iajs-3943	145	5	thajil	thajil	PROPN
iajs-3943	145	6	a.q	a.q	PROPN
iajs-3943	145	7	.	.	PROPN
iajs-3943	145	8	zenali	zenali	VERB
iajs-3943	145	9	iteration	iteration	NOUN
iajs-3943	145	10	method	method	NOUN
iajs-3943	145	11	for	for	ADP
iajs-3943	145	12	approximating	approximate	VERB
iajs-3943	145	13	fixed	fix	VERB
iajs-3943	145	14	point	point	NOUN
iajs-3943	145	15	of	of	ADP
iajs-3943	145	16	a	a	DET
iajs-3943	145	17	δza	δza	NOUN
iajs-3943	145	18	-	-	PUNCT
iajs-3943	145	19	quasi	quasi	ADJ
iajs-3943	145	20	contractive	contractive	ADJ
iajs-3943	145	21	mappings	mapping	NOUN
iajs-3943	145	22	.	.	PUNCT
iajs-3943	146	1	ibn	ibn	PROPN
iajs-3943	146	2	al	al	PROPN
iajs-3943	146	3	-	-	PUNCT
iajs-3943	146	4	haitham	haitham	PROPN
iajs-3943	146	5	j	j	PROPN
iajs-3943	146	6	pure	pure	PROPN
iajs-3943	146	7	appl	appl	PROPN
iajs-3943	146	8	sci	sci	PROPN
iajs-3943	146	9	2021;34:78–92	2021;34:78–92	NUM
iajs-3943	146	10	.	.	PUNCT
iajs-3943	147	1	https://doi.org/10.30526/34.4.2705	https://doi.org/10.30526/34.4.2705	PROPN
iajs-3943	147	2	23	23	NUM
iajs-3943	147	3	.	.	PUNCT
iajs-3943	148	1	kalaf	kalaf	PROPN
iajs-3943	148	2	b.a	b.a	PROPN
iajs-3943	148	3	.	.	PROPN
iajs-3943	148	4	,	,	PUNCT
iajs-3943	148	5	hussein	hussein	PROPN
iajs-3943	148	6	maibed	maibe	VERB
iajs-3943	148	7	z.	z.	PROPN
iajs-3943	148	8	a	a	DET
iajs-3943	148	9	review	review	NOUN
iajs-3943	148	10	of	of	ADP
iajs-3943	148	11	the	the	DET
iajs-3943	148	12	some	some	DET
iajs-3943	148	13	fixed	fix	VERB
iajs-3943	148	14	point	point	NOUN
iajs-3943	148	15	theorems	theorem	NOUN
iajs-3943	148	16	for	for	ADP
iajs-3943	148	17	different	different	ADJ
iajs-3943	148	18	kinds	kind	NOUN
iajs-3943	148	19	of	of	ADP
iajs-3943	148	20	maps	map	NOUN
iajs-3943	148	21	.	.	PUNCT
iajs-3943	149	1	ibn	ibn	PROPN
iajs-3943	149	2	al	al	PROPN
iajs-3943	149	3	-	-	PUNCT
iajs-3943	149	4	haitham	haitham	PROPN
iajs-3943	149	5	j	j	PROPN
iajs-3943	149	6	pure	pure	PROPN
iajs-3943	149	7	appl	appl	PROPN
iajs-3943	149	8	sci	sci	PROPN
iajs-3943	149	9	2023;36:283–288	2023;36:283–288	PROPN
iajs-3943	149	10	.	.	PUNCT
iajs-3943	150	1	https://doi.org/10.30526/36.3.3006	https://doi.org/10.30526/36.3.3006	PROPN
iajs-3943	150	2	24	24	NUM
iajs-3943	150	3	.	.	PUNCT
iajs-3943	151	1	naveen	naveen	PROPN
iajs-3943	151	2	c.	c.	PROPN
iajs-3943	151	3	,	,	PUNCT
iajs-3943	151	4	bharti	bharti	PROPN
iajs-3943	151	5	j.	j.	PROPN
iajs-3943	151	6	,	,	PUNCT
iajs-3943	151	7	mahesh	mahesh	PROPN
iajs-3943	151	8	c.	c.	PROPN
iajs-3943	151	9	joshi	joshi	PROPN
iajs-3943	151	10	.	.	PROPN
iajs-3943	152	1	generalized	generalize	VERB
iajs-3943	152	2	fixed	fix	VERB
iajs-3943	152	3	point	point	NOUN
iajs-3943	152	4	theorems	theorem	NOUN
iajs-3943	152	5	on	on	ADP
iajs-3943	152	6	metric	metric	ADJ
iajs-3943	152	7	spaces	space	NOUN
iajs-3943	152	8	.	.	PUNCT
iajs-3943	153	1	math	math	PROPN
iajs-3943	153	2	morav	morav	PROPN
iajs-3943	153	3	2022;26:85–101	2022;26:85–101	PROPN
iajs-3943	153	4	.	.	PUNCT
iajs-3943	154	1	https://doi.org/10.5937/matmor2202085c	https://doi.org/10.5937/matmor2202085c	PRON
iajs-3943	154	2	25	25	NUM
iajs-3943	154	3	.	.	PUNCT
iajs-3943	155	1	monje	monje	PROPN
iajs-3943	155	2	z.a.a.m	z.a.a.m	PROPN
iajs-3943	155	3	.	.	PROPN
iajs-3943	155	4	,	,	PUNCT
iajs-3943	155	5	ahmed	ahmed	PROPN
iajs-3943	155	6	b.a.a	b.a.a	PROPN
iajs-3943	155	7	.	.	PUNCT
iajs-3943	156	1	a	a	DET
iajs-3943	156	2	study	study	NOUN
iajs-3943	156	3	of	of	ADP
iajs-3943	156	4	stability	stability	NOUN
iajs-3943	156	5	of	of	ADP
iajs-3943	156	6	first	first	ADJ
iajs-3943	156	7	-	-	PUNCT
iajs-3943	156	8	order	order	NOUN
iajs-3943	156	9	delay	delay	NOUN
iajs-3943	156	10	differential	differential	ADJ
iajs-3943	156	11	equations	equation	NOUN
iajs-3943	156	12	using	use	VERB
iajs-3943	156	13	fixed	fix	VERB
iajs-3943	156	14	point	point	NOUN
iajs-3943	156	15	theorem	theorem	ADJ
iajs-3943	156	16	banach	banach	NOUN
iajs-3943	156	17	.	.	PUNCT
iajs-3943	157	1	iraqi	iraqi	ADJ
iajs-3943	157	2	j	j	PROPN
iajs-3943	157	3	sci	sci	PROPN
iajs-3943	157	4	2019;60:2719–2724	2019;60:2719–2724	NUM
iajs-3943	157	5	.	.	PUNCT
iajs-3943	158	1	https://doi.org/10.24996/ijs.2019.60.12.22	https://doi.org/10.24996/ijs.2019.60.12.22	NOUN
iajs-3943	158	2	26	26	NUM
iajs-3943	158	3	.	.	PUNCT
iajs-3943	159	1	mehmood	mehmood	PROPN
iajs-3943	159	2	f.	f.	PROPN
iajs-3943	159	3	,	,	PUNCT
iajs-3943	159	4	ali	ali	PROPN
iajs-3943	159	5	r.	r.	PROPN
iajs-3943	159	6	,	,	PUNCT
iajs-3943	159	7	hussain	hussain	PROPN
iajs-3943	159	8	n.	n.	PROPN
iajs-3943	159	9	contractions	contraction	NOUN
iajs-3943	159	10	in	in	ADP
iajs-3943	159	11	fuzzy	fuzzy	ADJ
iajs-3943	159	12	rectangular	rectangular	ADJ
iajs-3943	159	13	b	b	X
iajs-3943	159	14	-	-	ADJ
iajs-3943	159	15	metric	metric	ADJ
iajs-3943	159	16	spaces	space	NOUN
iajs-3943	159	17	with	with	ADP
iajs-3943	159	18	application	application	NOUN
iajs-3943	159	19	.	.	PUNCT
iajs-3943	160	1	j	j	PROPN
iajs-3943	160	2	intell	intell	PROPN
iajs-3943	160	3	fuzzy	fuzzy	ADJ
iajs-3943	160	4	syst	syst	PROPN
iajs-3943	160	5	2019;37:1275–1285	2019;37:1275–1285	PROPN
iajs-3943	160	6	.	.	PUNCT
iajs-3943	161	1	https://doi.org/10.3233/jifs-182719	https://doi.org/10.3233/jifs-182719	PROPN
iajs-3943	161	2	27	27	NUM
iajs-3943	161	3	.	.	PUNCT
iajs-3943	162	1	hadžić	hadžić	PROPN
iajs-3943	162	2	o.	o.	PROPN
iajs-3943	162	3	a	a	DET
iajs-3943	162	4	fixed	fix	VERB
iajs-3943	162	5	point	point	NOUN
iajs-3943	162	6	theorem	theorem	VERB
iajs-3943	162	7	in	in	ADP
iajs-3943	162	8	menger	menger	PROPN
iajs-3943	162	9	spaces	space	NOUN
iajs-3943	162	10	.	.	PUNCT
iajs-3943	163	1	publ	publ	NOUN
iajs-3943	163	2	inst	inst	PROPN
iajs-3943	163	3	math	math	PROPN
iajs-3943	163	4	1979;26(40):107–112	1979;26(40):107–112	PROPN
iajs-3943	163	5	.	.	PUNCT
iajs-3943	164	1	28	28	NUM
iajs-3943	164	2	.	.	PUNCT
iajs-3943	164	3	sedghi	sedghi	PROPN
iajs-3943	164	4	s.	s.	PROPN
iajs-3943	164	5	,	,	PUNCT
iajs-3943	164	6	shobe	shobe	PROPN
iajs-3943	164	7	n.	n.	PROPN
iajs-3943	164	8	common	common	ADJ
iajs-3943	164	9	fixed	fix	VERB
iajs-3943	164	10	point	point	NOUN
iajs-3943	164	11	theorem	theorem	VERB
iajs-3943	164	12	in	in	ADP
iajs-3943	164	13	b	b	NOUN
iajs-3943	164	14	-	-	PUNCT
iajs-3943	164	15	fuzzy	fuzzy	ADJ
iajs-3943	164	16	metric	metric	ADJ
iajs-3943	164	17	space	space	NOUN
iajs-3943	164	18	.	.	PUNCT
iajs-3943	165	1	nonlinear	nonlinear	ADJ
iajs-3943	165	2	funct	funct	ADJ
iajs-3943	165	3	anal	anal	ADJ
iajs-3943	165	4	appl	appl	PROPN
iajs-3943	165	5	2012;17:349–359	2012;17:349–359	NUM
iajs-3943	165	6	.	.	PUNCT
iajs-3943	165	7	29	29	NUM
iajs-3943	165	8	.	.	PUNCT
iajs-3943	166	1	klement	klement	PROPN
iajs-3943	166	2	e.p	e.p	PROPN
iajs-3943	166	3	.	.	PROPN
iajs-3943	166	4	,	,	PUNCT
iajs-3943	166	5	mesiar	mesiar	PROPN
iajs-3943	166	6	r.	r.	PROPN
iajs-3943	166	7	,	,	PUNCT
iajs-3943	166	8	pap	pap	PROPN
iajs-3943	166	9	e.	e.	PROPN
iajs-3943	166	10	triangular	triangular	PROPN
iajs-3943	166	11	norms	norm	VERB
iajs-3943	166	12	.	.	PUNCT
iajs-3943	167	1	trends	trend	NOUN
iajs-3943	167	2	log	log	VERB
iajs-3943	167	3	2000;8	2000;8	NUM
iajs-3943	167	4	.	.	PUNCT
iajs-3943	168	1	dordrecht	dordrecht	PROPN
iajs-3943	168	2	:	:	PUNCT
iajs-3943	168	3	kluwer	kluwer	NOUN
iajs-3943	168	4	academic	academic	ADJ
iajs-3943	168	5	publishers	publisher	NOUN
iajs-3943	168	6	.	.	PUNCT
iajs-3943	169	1	30	30	NUM
iajs-3943	169	2	.	.	PUNCT
iajs-3943	170	1	hadžić	hadžić	NOUN
iajs-3943	170	2	o.	o.	PROPN
iajs-3943	170	3	a	a	DET
iajs-3943	170	4	fixed	fix	VERB
iajs-3943	170	5	point	point	NOUN
iajs-3943	170	6	theorem	theorem	VERB
iajs-3943	170	7	in	in	ADP
iajs-3943	170	8	menger	menger	PROPN
iajs-3943	170	9	spaces	space	NOUN
iajs-3943	170	10	.	.	PUNCT
iajs-3943	171	1	publ	publ	NOUN
iajs-3943	171	2	inst	inst	PROPN
iajs-3943	171	3	math	math	PROPN
iajs-3943	171	4	1979;26(40):107–112	1979;26(40):107–112	PROPN
iajs-3943	171	5	.	.	PUNCT
iajs-3943	172	1	https://doi.org/10.1016/0165-0114(94)90162-7	https://doi.org/10.1016/0165-0114(94)90162-7	PROPN
iajs-3943	172	2	https://doi.org/10.24996/10.24996/ijs.2021.62.5.32	https://doi.org/10.24996/10.24996/ijs.2021.62.5.32	PROPN
iajs-3943	172	3	https://doi.org/10.1016/j.aml.2011.04.033	https://doi.org/10.1016/j.aml.2011.04.033	VERB
iajs-3943	172	4	https://doi.org/10.3390/math7010057	https://doi.org/10.3390/math7010057	VERB
iajs-3943	172	5	https://doi.org/10.1088/1757-899x/871/1/012037	https://doi.org/10.1088/1757-899x/871/1/012037	PROPN
iajs-3943	172	6	https://doi.org/10.1007/s11784-018-0544-3	https://doi.org/10.1007/s11784-018-0544-3	NOUN
iajs-3943	172	7	https://doi.org/10.1007/s11784-018-0544-3	https://doi.org/10.1007/s11784-018-0544-3	NOUN
iajs-3943	173	1	https://dx.doi.org/10.1088/1742-6596/1804/1/012017	https://dx.doi.org/10.1088/1742-6596/1804/1/012017	ADV
iajs-3943	173	2	https://dx.doi.org/10.1088/1742-6596/1818/1/012153	https://dx.doi.org/10.1088/1742-6596/1818/1/012153	VERB
iajs-3943	173	3	https://doi.org/10.3390/axioms9020036	https://doi.org/10.3390/axioms9020036	NOUN
iajs-3943	173	4	https://doi.org/10.24193/fpt-ro.2019.2.36	https://doi.org/10.24193/fpt-ro.2019.2.36	NOUN
iajs-3943	173	5	https://doi.org/10.21123/bsj.2023.7509	https://doi.org/10.21123/bsj.2023.7509	ADJ
iajs-3943	173	6	https://doi.org/10.30526/34.4.2705	https://doi.org/10.30526/34.4.2705	PROPN
iajs-3943	173	7	https://doi.org/10.30526/36.3.3006	https://doi.org/10.30526/36.3.3006	PROPN
iajs-3943	173	8	https://doi.org/10.5937/matmor2202085c	https://doi.org/10.5937/matmor2202085c	PROPN
iajs-3943	173	9	https://doi.org/10.24996/ijs.2019.60.12.22	https://doi.org/10.24996/ijs.2019.60.12.22	PROPN
iajs-3943	173	10	https://doi.org/10.3233/jifs-182719	https://doi.org/10.3233/jifs-182719	PROPN