id	sid	tid	token	lemma	pos
iajs-3006	1	1	ihjpas	ihjpas	PROPN
iajs-3006	1	2	.	.	PUNCT
iajs-3006	2	1	36	36	NUM
iajs-3006	2	2	(	(	PUNCT
iajs-3006	2	3	3	3	NUM
iajs-3006	2	4	)	)	PUNCT
iajs-3006	2	5	2023	2023	NUM
iajs-3006	2	6	283	283	NUM
iajs-3006	2	7	this	this	DET
iajs-3006	2	8	work	work	NOUN
iajs-3006	2	9	is	be	AUX
iajs-3006	2	10	licensed	license	VERB
iajs-3006	2	11	under	under	ADP
iajs-3006	2	12	a	a	DET
iajs-3006	2	13	creative	creative	ADJ
iajs-3006	2	14	commons	common	NOUN
iajs-3006	2	15	attribution	attribution	NOUN
iajs-3006	2	16	4.0	4.0	NUM
iajs-3006	2	17	international	international	ADJ
iajs-3006	2	18	license	license	NOUN
iajs-3006	2	19	*	*	PUNCT
iajs-3006	2	20	corresponding	correspond	VERB
iajs-3006	2	21	author	author	NOUN
iajs-3006	2	22	:	:	PUNCT
iajs-3006	2	23	mrs	mrs	PROPN
iajs-3006	2	24	_	_	PROPN
iajs-3006	2	25	zena.hussein@yahoo.com	zena.hussein@yahoo.com	X
iajs-3006	2	26	abstract	abstract	NOUN
iajs-3006	2	27	the	the	DET
iajs-3006	2	28	focus	focus	NOUN
iajs-3006	2	29	of	of	ADP
iajs-3006	2	30	this	this	DET
iajs-3006	2	31	paper	paper	NOUN
iajs-3006	2	32	reviewed	review	VERB
iajs-3006	2	33	generalized	generalized	ADJ
iajs-3006	2	34	contraction	contraction	NOUN
iajs-3006	2	35	mapping	mapping	NOUN
iajs-3006	2	36	and	and	CCONJ
iajs-3006	2	37	nonexpansive	nonexpansive	ADJ
iajs-3006	2	38	maps	map	NOUN
iajs-3006	2	39	and	and	CCONJ
iajs-3006	2	40	recall	recall	VERB
iajs-3006	2	41	some	some	DET
iajs-3006	2	42	theorems	theorem	NOUN
iajs-3006	2	43	about	about	ADP
iajs-3006	2	44	the	the	DET
iajs-3006	2	45	existence	existence	NOUN
iajs-3006	2	46	and	and	CCONJ
iajs-3006	2	47	uniqueness	uniqueness	NOUN
iajs-3006	2	48	of	of	ADP
iajs-3006	2	49	common	common	ADJ
iajs-3006	2	50	fixed	fix	VERB
iajs-3006	2	51	points	point	NOUN
iajs-3006	2	52	and	and	CCONJ
iajs-3006	2	53	coincidence	coincidence	NOUN
iajs-3006	2	54	fixed	fix	VERB
iajs-3006	2	55	-	-	PUNCT
iajs-3006	2	56	point	point	NOUN
iajs-3006	2	57	for	for	ADP
iajs-3006	2	58	such	such	ADJ
iajs-3006	2	59	maps	map	NOUN
iajs-3006	2	60	under	under	ADP
iajs-3006	2	61	some	some	DET
iajs-3006	2	62	conditions	condition	NOUN
iajs-3006	2	63	.	.	PUNCT
iajs-3006	3	1	moreover	moreover	ADV
iajs-3006	3	2	,	,	PUNCT
iajs-3006	3	3	some	some	DET
iajs-3006	3	4	schemes	scheme	NOUN
iajs-3006	3	5	of	of	ADP
iajs-3006	3	6	different	different	ADJ
iajs-3006	3	7	types	type	NOUN
iajs-3006	3	8	as	as	ADP
iajs-3006	3	9	one	one	NUM
iajs-3006	3	10	-	-	PUNCT
iajs-3006	3	11	step	step	NOUN
iajs-3006	3	12	schemes	scheme	NOUN
iajs-3006	3	13	,	,	PUNCT
iajs-3006	3	14	two	two	NUM
iajs-3006	3	15	-	-	PUNCT
iajs-3006	3	16	step	step	NOUN
iajs-3006	3	17	schemes	scheme	NOUN
iajs-3006	3	18	,	,	PUNCT
iajs-3006	3	19	and	and	CCONJ
iajs-3006	3	20	three	three	NUM
iajs-3006	3	21	-	-	PUNCT
iajs-3006	3	22	step	step	NOUN
iajs-3006	3	23	schemes	scheme	NOUN
iajs-3006	3	24	(	(	PUNCT
iajs-3006	3	25	mann	mann	PROPN
iajs-3006	3	26	scheme	scheme	NOUN
iajs-3006	3	27	algorithm	algorithm	NOUN
iajs-3006	3	28	,	,	PUNCT
iajs-3006	3	29	ishukawa	ishukawa	PROPN
iajs-3006	3	30	scheme	scheme	NOUN
iajs-3006	3	31	algorithm	algorithm	NOUN
iajs-3006	3	32	,	,	PUNCT
iajs-3006	3	33	noor	noor	PROPN
iajs-3006	3	34	scheme	scheme	NOUN
iajs-3006	3	35	algorithm	algorithm	NOUN
iajs-3006	3	36	,	,	PUNCT
iajs-3006	3	37	𝑆𝑃	𝑆𝑃	PROPN
iajs-3006	3	38	−.scheme	−.scheme	ADJ
iajs-3006	3	39	algorithm	algorithm	NOUN
iajs-3006	3	40	,	,	PUNCT
iajs-3006	3	41	𝐶𝑅	𝐶𝑅	ADJ
iajs-3006	3	42	−	−	NOUN
iajs-3006	3	43	scheme	scheme	NOUN
iajs-3006	3	44	algorithm	algorithm	NOUN
iajs-3006	3	45	modified	modify	VERB
iajs-3006	3	46	sp	sp	ADP
iajs-3006	3	47	scheme	scheme	NOUN
iajs-3006	3	48	algorithm	algorithm	NOUN
iajs-3006	3	49	karahan	karahan	PROPN
iajs-3006	3	50	scheme	scheme	NOUN
iajs-3006	3	51	algorithm	algorithm	NOUN
iajs-3006	3	52	,	,	PUNCT
iajs-3006	3	53	and	and	CCONJ
iajs-3006	3	54	others	other	NOUN
iajs-3006	3	55	.	.	PUNCT
iajs-3006	4	1	the	the	DET
iajs-3006	4	2	convergence	convergence	NOUN
iajs-3006	4	3	of	of	ADP
iajs-3006	4	4	these	these	DET
iajs-3006	4	5	schemes	scheme	NOUN
iajs-3006	4	6	has	have	AUX
iajs-3006	4	7	been	be	AUX
iajs-3006	4	8	studied	study	VERB
iajs-3006	4	9	.	.	PUNCT
iajs-3006	5	1	on	on	ADP
iajs-3006	5	2	the	the	DET
iajs-3006	5	3	other	other	ADJ
iajs-3006	5	4	hand	hand	NOUN
iajs-3006	5	5	,	,	PUNCT
iajs-3006	5	6	we	we	PRON
iajs-3006	5	7	also	also	ADV
iajs-3006	5	8	reviewed	review	VERB
iajs-3006	5	9	the	the	DET
iajs-3006	5	10	convergence	convergence	NOUN
iajs-3006	5	11	,	,	PUNCT
iajs-3006	5	12	valence	valence	NOUN
iajs-3006	5	13	,	,	PUNCT
iajs-3006	5	14	and	and	CCONJ
iajs-3006	5	15	stability	stability	NOUN
iajs-3006	5	16	theories	theory	NOUN
iajs-3006	5	17	of	of	ADP
iajs-3006	5	18	different	different	ADJ
iajs-3006	5	19	types	type	NOUN
iajs-3006	5	20	of	of	ADP
iajs-3006	5	21	near	near	ADJ
iajs-3006	5	22	-	-	PUNCT
iajs-3006	5	23	plots	plot	NOUN
iajs-3006	5	24	in	in	ADP
iajs-3006	5	25	convex	convex	ADJ
iajs-3006	5	26	metric	metric	ADJ
iajs-3006	5	27	space	space	NOUN
iajs-3006	5	28	.	.	PUNCT
iajs-3006	6	1	keywords	keyword	NOUN
iajs-3006	6	2	:	:	PUNCT
iajs-3006	6	3	convergence	convergence	NOUN
iajs-3006	6	4	,	,	PUNCT
iajs-3006	6	5	fixed	fix	VERB
iajs-3006	6	6	point	point	NOUN
iajs-3006	6	7	,	,	PUNCT
iajs-3006	6	8	nonexpansive	nonexpansive	ADJ
iajs-3006	6	9	map	map	NOUN
iajs-3006	6	10	,	,	PUNCT
iajs-3006	6	11	pseudocontractive	pseudocontractive	ADJ
iajs-3006	6	12	map	map	NOUN
iajs-3006	6	13	and	and	CCONJ
iajs-3006	6	14	iterative	iterative	NOUN
iajs-3006	6	15	methods	method	NOUN
iajs-3006	6	16	.	.	PUNCT
iajs-3006	7	1	introduction	introduction	NOUN
iajs-3006	7	2	fixed	fix	VERB
iajs-3006	7	3	point	point	NOUN
iajs-3006	7	4	theory	theory	NOUN
iajs-3006	7	5	is	be	AUX
iajs-3006	7	6	an	an	DET
iajs-3006	7	7	important	important	ADJ
iajs-3006	7	8	topic	topic	NOUN
iajs-3006	7	9	,	,	PUNCT
iajs-3006	7	10	and	and	CCONJ
iajs-3006	7	11	it	it	PRON
iajs-3006	7	12	has	have	VERB
iajs-3006	7	13	many	many	ADJ
iajs-3006	7	14	applications	application	NOUN
iajs-3006	7	15	in	in	ADP
iajs-3006	7	16	branches	branch	NOUN
iajs-3006	7	17	of	of	ADP
iajs-3006	7	18	mathematics	mathematic	NOUN
iajs-3006	7	19	various	various	ADJ
iajs-3006	7	20	.	.	PUNCT
iajs-3006	8	1	in	in	ADP
iajs-3006	8	2	the	the	DET
iajs-3006	8	3	year	year	NOUN
iajs-3006	8	4	1970	1970	NUM
iajs-3006	8	5	,	,	PUNCT
iajs-3006	8	6	introduced	introduce	VERB
iajs-3006	8	7	takahashi	takahashi	PROPN
iajs-3006	8	8	the	the	DET
iajs-3006	8	9	idea	idea	NOUN
iajs-3006	8	10	of	of	ADP
iajs-3006	8	11	convexity	convexity	NOUN
iajs-3006	8	12	in	in	ADP
iajs-3006	8	13	m	m	NOUN
iajs-3006	8	14	-	-	NOUN
iajs-3006	8	15	spaces	space	NOUN
iajs-3006	8	16	and	and	CCONJ
iajs-3006	8	17	studied	study	VERB
iajs-3006	8	18	it	it	PRON
iajs-3006	8	19	as	as	ADV
iajs-3006	8	20	well	well	ADV
iajs-3006	8	21	as	as	ADP
iajs-3006	8	22	common	common	ADJ
iajs-3006	8	23	f	f	NOUN
iajs-3006	8	24	-	-	PUNCT
iajs-3006	8	25	point	point	NOUN
iajs-3006	8	26	theorems	theorem	NOUN
iajs-3006	8	27	for	for	ADP
iajs-3006	8	28	nonexpansive	nonexpansive	ADJ
iajs-3006	8	29	mappings	mapping	NOUN
iajs-3006	8	30	.	.	PUNCT
iajs-3006	9	1	the	the	DET
iajs-3006	9	2	convex	convex	PROPN
iajs-3006	9	3	m	m	NOUN
iajs-3006	9	4	-	-	NOUN
iajs-3006	9	5	space	space	NOUN
iajs-3006	9	6	is	be	AUX
iajs-3006	9	7	a	a	DET
iajs-3006	9	8	public	public	ADJ
iajs-3006	9	9	,	,	PUNCT
iajs-3006	9	10	important	important	ADJ
iajs-3006	9	11	,	,	PUNCT
iajs-3006	9	12	and	and	CCONJ
iajs-3006	9	13	,	,	PUNCT
iajs-3006	9	14	expansive	expansive	ADJ
iajs-3006	9	15	space	space	NOUN
iajs-3006	9	16	with	with	ADP
iajs-3006	9	17	a	a	DET
iajs-3006	9	18	convex	convex	NOUN
iajs-3006	9	19	structure	structure	NOUN
iajs-3006	9	20	,	,	PUNCT
iajs-3006	9	21	where	where	SCONJ
iajs-3006	9	22	the	the	DET
iajs-3006	9	23	banach	banach	NOUN
iajs-3006	9	24	cone	cone	NOUN
iajs-3006	9	25	space	space	NOUN
iajs-3006	9	26	is	be	AUX
iajs-3006	9	27	convex	convex	ADJ
iajs-3006	9	28	m	m	NOUN
iajs-3006	9	29	-	-	NOUN
iajs-3006	9	30	space	space	NOUN
iajs-3006	9	31	.	.	PUNCT
iajs-3006	10	1	the	the	DET
iajs-3006	10	2	principle	principle	NOUN
iajs-3006	10	3	of	of	ADP
iajs-3006	10	4	the	the	DET
iajs-3006	10	5	banach	banach	NOUN
iajs-3006	10	6	contraction	contraction	NOUN
iajs-3006	10	7	states	state	VERB
iajs-3006	10	8	that	that	SCONJ
iajs-3006	10	9	they	they	PRON
iajs-3006	10	10	can	can	AUX
iajs-3006	10	11	approximate	approximate	VERB
iajs-3006	10	12	the	the	DET
iajs-3006	10	13	contraction	contraction	NOUN
iajs-3006	10	14	maps	map	VERB
iajs-3006	10	15	f	f	NOUN
iajs-3006	10	16	-	-	PUNCT
iajs-3006	10	17	point	point	NOUN
iajs-3006	10	18	by	by	ADP
iajs-3006	10	19	picard	picard	PROPN
iajs-3006	10	20	proximal	proximal	ADJ
iajs-3006	10	21	scheme	scheme	NOUN
iajs-3006	10	22	.	.	PUNCT
iajs-3006	11	1	the	the	DET
iajs-3006	11	2	seq	seq	PROPN
iajs-3006	11	3	⟨𝓍𝑛⟩	⟨𝓍𝑛⟩	NOUN
iajs-3006	11	4	of	of	ADP
iajs-3006	11	5	this	this	DET
iajs-3006	11	6	scheme	scheme	NOUN
iajs-3006	11	7	can	can	AUX
iajs-3006	11	8	be	be	AUX
iajs-3006	11	9	defined	define	VERB
iajs-3006	11	10	as	as	SCONJ
iajs-3006	11	11	follows	follow	VERB
iajs-3006	11	12	:	:	PUNCT
iajs-3006	11	13	let	let	VERB
iajs-3006	11	14	∅	∅	NOUN
iajs-3006	11	15	≠	≠	NOUN
iajs-3006	11	16	ℳ	ℳ	PROPN
iajs-3006	11	17	be	be	VERB
iajs-3006	11	18	a	a	DET
iajs-3006	11	19	closed	closed	ADJ
iajs-3006	11	20	-	-	PUNCT
iajs-3006	11	21	convex	convex	NOUN
iajs-3006	11	22	lies	lie	VERB
iajs-3006	11	23	in	in	ADP
iajs-3006	11	24	ℋand	ℋand	PROPN
iajs-3006	11	25	𝒥	𝒥	PROPN
iajs-3006	11	26	:	:	PUNCT
iajs-3006	11	27	ℳ	ℳ	PROPN
iajs-3006	11	28	→	→	SYM
iajs-3006	11	29	ℳ	ℳ	PROPN
iajs-3006	11	30	be	be	VERB
iajs-3006	11	31	a	a	DET
iajs-3006	11	32	mapping	mapping	NOUN
iajs-3006	11	33	:	:	PUNCT
iajs-3006	11	34	𝒶0	𝒶0	PROPN
iajs-3006	11	35	∈	∈	PROPN
iajs-3006	11	36	ℳ	ℳ	PROPN
iajs-3006	11	37	,	,	PUNCT
iajs-3006	11	38	𝒶𝑛+1	𝒶𝑛+1	X
iajs-3006	11	39	=	=	SYM
iajs-3006	11	40	𝒥𝒶𝑛	𝒥𝒶𝑛	PROPN
iajs-3006	11	41	,	,	PUNCT
iajs-3006	11	42	𝑛	𝑛	DET
iajs-3006	11	43	∈	∈	NOUN
iajs-3006	11	44	𝑁	𝑁	PROPN
iajs-3006	11	45	(	(	PUNCT
iajs-3006	11	46	1	1	NUM
iajs-3006	11	47	)	)	PUNCT
iajs-3006	11	48	picard	picard	PROPN
iajs-3006	11	49	's	's	PART
iajs-3006	11	50	proximal	proximal	ADJ
iajs-3006	11	51	scheme	scheme	NOUN
iajs-3006	11	52	for	for	ADP
iajs-3006	11	53	nonexpansive	nonexpansive	ADJ
iajs-3006	11	54	mappings	mapping	NOUN
iajs-3006	11	55	does	do	AUX
iajs-3006	11	56	not	not	PART
iajs-3006	11	57	converge	converge	VERB
iajs-3006	11	58	to	to	ADP
iajs-3006	11	59	a	a	DET
iajs-3006	11	60	f	f	NOUN
iajs-3006	11	61	-	-	PUNCT
iajs-3006	11	62	point	point	NOUN
iajs-3006	11	63	.	.	PUNCT
iajs-3006	12	1	hence	hence	ADV
iajs-3006	12	2	,	,	PUNCT
iajs-3006	12	3	to	to	ADP
iajs-3006	12	4	doi.org/10.30526/36.3.3006	doi.org/10.30526/36.3.3006	ADJ
iajs-3006	12	5	article	article	NOUN
iajs-3006	12	6	history	history	NOUN
iajs-3006	12	7	:	:	PUNCT
iajs-3006	12	8	received	receive	VERB
iajs-3006	12	9	10	10	NUM
iajs-3006	12	10	september	september	PROPN
iajs-3006	12	11	2022	2022	NUM
iajs-3006	12	12	,	,	PUNCT
iajs-3006	12	13	accepted	accept	VERB
iajs-3006	12	14	1	1	NUM
iajs-3006	12	15	november	november	PROPN
iajs-3006	12	16	2022	2022	NUM
iajs-3006	12	17	,	,	PUNCT
iajs-3006	12	18	published	publish	VERB
iajs-3006	12	19	in	in	ADP
iajs-3006	12	20	july	july	PROPN
iajs-3006	12	21	2023	2023	NUM
iajs-3006	12	22	.	.	PUNCT
iajs-3006	13	1	ibn	ibn	PROPN
iajs-3006	13	2	al	al	PROPN
iajs-3006	13	3	-	-	PUNCT
iajs-3006	13	4	haitham	haitham	PROPN
iajs-3006	13	5	journal	journal	PROPN
iajs-3006	13	6	for	for	ADP
iajs-3006	13	7	pure	pure	ADJ
iajs-3006	13	8	and	and	CCONJ
iajs-3006	13	9	applied	applied	ADJ
iajs-3006	13	10	sciences	sciences	PROPN
iajs-3006	13	11	journal	journal	PROPN
iajs-3006	13	12	homepage	homepage	NOUN
iajs-3006	13	13	:	:	PUNCT
iajs-3006	13	14	jih.uobaghdad.edu.iq	jih.uobaghdad.edu.iq	VERB
iajs-3006	13	15	a	a	DET
iajs-3006	13	16	review	review	NOUN
iajs-3006	13	17	of	of	ADP
iajs-3006	13	18	the	the	DET
iajs-3006	13	19	some	some	DET
iajs-3006	13	20	fixed	fix	VERB
iajs-3006	13	21	point	point	NOUN
iajs-3006	13	22	theorems	theorem	NOUN
iajs-3006	13	23	for	for	ADP
iajs-3006	13	24	different	different	ADJ
iajs-3006	13	25	kinds	kind	NOUN
iajs-3006	13	26	of	of	ADP
iajs-3006	13	27	maps	map	NOUN
iajs-3006	13	28	zena	zena	PROPN
iajs-3006	13	29	hussein	hussein	PROPN
iajs-3006	13	30	maibed	maibed	PROPN
iajs-3006	13	31	*	*	PUNCT
iajs-3006	13	32	department	department	PROPN
iajs-3006	13	33	of	of	ADP
iajs-3006	13	34	mathematics	mathematics	PROPN
iajs-3006	13	35	,	,	PUNCT
iajs-3006	13	36	college	college	NOUN
iajs-3006	13	37	of	of	ADP
iajs-3006	13	38	education	education	NOUN
iajs-3006	13	39	for	for	ADP
iajs-3006	13	40	pure	pure	ADJ
iajs-3006	13	41	science	science	NOUN
iajs-3006	13	42	ibn	ibn	PROPN
iajs-3006	13	43	al	al	PROPN
iajs-3006	13	44	-	-	PUNCT
iajs-3006	13	45	haytham	haytham	PROPN
iajs-3006	13	46	,	,	PUNCT
iajs-3006	13	47	university	university	NOUN
iajs-3006	13	48	of	of	ADP
iajs-3006	13	49	baghdad	baghdad	PROPN
iajs-3006	13	50	,	,	PUNCT
iajs-3006	13	51	baghdad	baghdad	PROPN
iajs-3006	13	52	,	,	PUNCT
iajs-3006	13	53	iraq	iraq	PROPN
iajs-3006	13	54	.	.	PUNCT
iajs-3006	14	1	mrs	mrs	PROPN
iajs-3006	14	2	_	_	PROPN
iajs-3006	14	3	zena.hussein@yahoo.com	zena.hussein@yahoo.com	X
iajs-3006	14	4	bayda	bayda	VERB
iajs-3006	14	5	atiya	atiya	PROPN
iajs-3006	14	6	kalaf	kalaf	PROPN
iajs-3006	14	7	department	department	PROPN
iajs-3006	14	8	of	of	ADP
iajs-3006	14	9	mathematics	mathematics	PROPN
iajs-3006	14	10	,	,	PUNCT
iajs-3006	14	11	college	college	NOUN
iajs-3006	14	12	of	of	ADP
iajs-3006	14	13	education	education	NOUN
iajs-3006	14	14	for	for	ADP
iajs-3006	14	15	pure	pure	ADJ
iajs-3006	14	16	science	science	NOUN
iajs-3006	14	17	ibn	ibn	PROPN
iajs-3006	14	18	al	al	PROPN
iajs-3006	14	19	-	-	PUNCT
iajs-3006	14	20	haytham	haytham	PROPN
iajs-3006	14	21	,	,	PUNCT
iajs-3006	14	22	university	university	NOUN
iajs-3006	14	23	of	of	ADP
iajs-3006	14	24	baghdad	baghdad	PROPN
iajs-3006	14	25	,	,	PUNCT
iajs-3006	14	26	baghdad	baghdad	PROPN
iajs-3006	14	27	,	,	PUNCT
iajs-3006	14	28	iraq	iraq	PROPN
iajs-3006	14	29	.	.	PUNCT
iajs-3006	15	1	hbama75@yahoo.com	hbama75@yahoo.com	X
iajs-3006	15	2	https://creativecommons.org/licenses/by/4.0/	https://creativecommons.org/licenses/by/4.0/	PROPN
iajs-3006	15	3	about	about	ADP
iajs-3006	15	4	:	:	PUNCT
iajs-3006	15	5	blank	blank	ADJ
iajs-3006	15	6	http://en.uobaghdad.edu.iq/?page_id=15060	http://en.uobaghdad.edu.iq/?page_id=15060	NOUN
iajs-3006	15	7	http://en.uobaghdad.edu.iq/?page_id=15060	http://en.uobaghdad.edu.iq/?page_id=15060	NOUN
iajs-3006	15	8	about	about	ADP
iajs-3006	15	9	:	:	PUNCT
iajs-3006	15	10	blank	blank	PROPN
iajs-3006	15	11	mailto	mailto	PROPN
iajs-3006	15	12	:	:	PUNCT
iajs-3006	15	13	mrs	mrs	PROPN
iajs-3006	15	14	_	_	PROPN
iajs-3006	15	15	zena.hussein@yahoo.com	zena.hussein@yahoo.com	X
iajs-3006	15	16	http://en.uobaghdad.edu.iq/?page_id=15060	http://en.uobaghdad.edu.iq/?page_id=15060	NOUN
iajs-3006	15	17	http://en.uobaghdad.edu.iq/?page_id=15060	http://en.uobaghdad.edu.iq/?page_id=15060	NOUN
iajs-3006	15	18	mailto:hbama75@yahoo.com	mailto:hbama75@yahoo.com	PROPN
iajs-3006	15	19	mailto:hbama75@yahoo.com	mailto:hbama75@yahoo.com	PROPN
iajs-3006	15	20	mailto:hbama75@yahoo.com	mailto:hbama75@yahoo.com	PROPN
iajs-3006	15	21	ihjpas	ihjpas	PROPN
iajs-3006	15	22	.	.	PUNCT
iajs-3006	16	1	36	36	NUM
iajs-3006	16	2	(	(	PUNCT
iajs-3006	16	3	3	3	NUM
iajs-3006	16	4	)	)	PUNCT
iajs-3006	16	5	2023	2023	NUM
iajs-3006	16	6	284	284	NUM
iajs-3006	16	7	approximate	approximate	NOUN
iajs-3006	16	8	the	the	DET
iajs-3006	16	9	f	f	NOUN
iajs-3006	16	10	-	-	PUNCT
iajs-3006	16	11	points	point	NOUN
iajs-3006	16	12	of	of	ADP
iajs-3006	16	13	the	the	DET
iajs-3006	16	14	non'expansion	non'expansion	NOUN
iajs-3006	16	15	maps	map	NOUN
iajs-3006	16	16	,	,	PUNCT
iajs-3006	16	17	a	a	DET
iajs-3006	16	18	proximal	proximal	ADJ
iajs-3006	16	19	scheme	scheme	NOUN
iajs-3006	16	20	is	be	AUX
iajs-3006	16	21	introduced	introduce	VERB
iajs-3006	16	22	as	as	ADP
iajs-3006	16	23	:	:	PUNCT
iajs-3006	16	24	𝒶0	𝒶0	PROPN
iajs-3006	16	25	𝜖	𝜖	PROPN
iajs-3006	16	26	ℳ	ℳ	PROPN
iajs-3006	16	27	,	,	PUNCT
iajs-3006	16	28	𝒶𝑛+1	𝒶𝑛+1	PROPN
iajs-3006	16	29	=	=	SYM
iajs-3006	16	30	(	(	PUNCT
iajs-3006	16	31	1	1	NUM
iajs-3006	16	32	−	−	PROPN
iajs-3006	16	33	𝛼𝑛	𝛼𝑛	NOUN
iajs-3006	16	34	)	)	PUNCT
iajs-3006	16	35	𝒶𝑛	𝒶𝑛	PROPN
iajs-3006	17	1	+	+	CCONJ
iajs-3006	17	2	𝛼𝑛𝒥𝒶𝑛	𝛼𝑛𝒥𝒶𝑛	ADV
iajs-3006	17	3	,	,	PUNCT
iajs-3006	17	4	𝑛	𝑛	PRON
iajs-3006	17	5	∈	∈	NOUN
iajs-3006	17	6	𝑁	𝑁	PROPN
iajs-3006	17	7	(	(	PUNCT
iajs-3006	17	8	2	2	NUM
iajs-3006	17	9	)	)	PUNCT
iajs-3006	17	10	because	because	SCONJ
iajs-3006	17	11	the	the	DET
iajs-3006	17	12	iterative	iterative	NOUN
iajs-3006	17	13	mann	mann	PROPN
iajs-3006	17	14	proximal	proximal	ADJ
iajs-3006	17	15	scheme	scheme	NOUN
iajs-3006	17	16	[	[	X
iajs-3006	17	17	1	1	NUM
iajs-3006	17	18	]	]	PUNCT
iajs-3006	17	19	,	,	PUNCT
iajs-3006	17	20	fails	fail	VERB
iajs-3006	17	21	to	to	PART
iajs-3006	17	22	converge	converge	VERB
iajs-3006	17	23	to	to	ADP
iajs-3006	17	24	the	the	DET
iajs-3006	17	25	f	f	NOUN
iajs-3006	17	26	-	-	PUNCT
iajs-3006	17	27	points	point	NOUN
iajs-3006	17	28	of	of	ADP
iajs-3006	17	29	the	the	DET
iajs-3006	17	30	spurious	spurious	ADJ
iajs-3006	17	31	systolic	systolic	ADJ
iajs-3006	17	32	maps	map	NOUN
iajs-3006	17	33	,	,	PUNCT
iajs-3006	17	34	and	and	CCONJ
iajs-3006	17	35	for	for	ADP
iajs-3006	17	36	spurious	spurious	ADJ
iajs-3006	17	37	systolic	systolic	ADJ
iajs-3006	17	38	maps	map	NOUN
iajs-3006	17	39	introduced	introduce	VERB
iajs-3006	17	40	ishikawa	ishikawa	PROPN
iajs-3006	17	41	proximal	proximal	ADJ
iajs-3006	17	42	scheme	scheme	NOUN
iajs-3006	17	43	to	to	ADP
iajs-3006	17	44	f	f	NOUN
iajs-3006	17	45	-	-	PUNCT
iajs-3006	17	46	points	point	NOUN
iajs-3006	17	47	.	.	PUNCT
iajs-3006	18	1	the	the	DET
iajs-3006	18	2	sequence	sequence	NOUN
iajs-3006	18	3	〈	〈	PROPN
iajs-3006	18	4	𝓍𝑛	𝓍𝑛	NOUN
iajs-3006	18	5	〉	〉	NOUN
iajs-3006	18	6	of	of	ADP
iajs-3006	18	7	the	the	DET
iajs-3006	18	8	ishikawa	ishikawa	PROPN
iajs-3006	18	9	proximal	proximal	PROPN
iajs-3006	18	10	scheme[2	scheme[2	PROPN
iajs-3006	18	11	]	]	PUNCT
iajs-3006	18	12	,	,	PUNCT
iajs-3006	18	13	defined	define	VERB
iajs-3006	18	14	as	as	ADP
iajs-3006	18	15	:	:	PUNCT
iajs-3006	18	16	𝒶0	𝒶0	PROPN
iajs-3006	18	17	∈	∈	PROPN
iajs-3006	18	18	ℳ	ℳ	PROPN
iajs-3006	18	19	,	,	PUNCT
iajs-3006	18	20	𝒶𝑛+1	𝒶𝑛+1	PROPN
iajs-3006	18	21	=	=	SYM
iajs-3006	18	22	(	(	PUNCT
iajs-3006	18	23	1	1	NUM
iajs-3006	18	24	−	−	NOUN
iajs-3006	18	25	𝛼𝑛)𝒶𝑛	𝛼𝑛)𝒶𝑛	NUM
iajs-3006	18	26	+	+	NUM
iajs-3006	18	27	𝛼𝑛	𝛼𝑛	PROPN
iajs-3006	18	28	𝒥𝒷𝑛	𝒥𝒷𝑛	PROPN
iajs-3006	18	29	,	,	PUNCT
iajs-3006	18	30	𝒷𝑛	𝒷𝑛	ADJ
iajs-3006	18	31	=	=	PUNCT
iajs-3006	18	32	(	(	PUNCT
iajs-3006	18	33	1	1	NUM
iajs-3006	18	34	−	−	NOUN
iajs-3006	18	35	𝛽𝑛)𝒶𝑛	𝛽𝑛)𝒶𝑛	PROPN
iajs-3006	18	36	+	+	CCONJ
iajs-3006	18	37	𝛽𝑛	𝛽𝑛	PROPN
iajs-3006	18	38	ℐ𝒶𝑛	ℐ𝒶𝑛	PROPN
iajs-3006	18	39	,	,	PUNCT
iajs-3006	18	40	𝑛	𝑛	DET
iajs-3006	18	41	∈	∈	NOUN
iajs-3006	18	42	𝑁	𝑁	PROPN
iajs-3006	18	43	(	(	PUNCT
iajs-3006	18	44	3	3	NUM
iajs-3006	18	45	)	)	PUNCT
iajs-3006	18	46	noor	noor	NOUN
iajs-3006	18	47	,	,	PUNCT
iajs-3006	18	48	in	in	ADP
iajs-3006	18	49	2000[3	2000[3	NUM
iajs-3006	18	50	]	]	PUNCT
iajs-3006	18	51	introduced	introduce	VERB
iajs-3006	18	52	proximal	proximal	ADJ
iajs-3006	18	53	scheme	scheme	NOUN
iajs-3006	18	54	as	as	ADP
iajs-3006	18	55	:	:	PUNCT
iajs-3006	18	56	𝓌0	𝓌0	NUM
iajs-3006	18	57	∈	∈	PROPN
iajs-3006	18	58	ℳ	ℳ	PROPN
iajs-3006	18	59	,	,	PUNCT
iajs-3006	18	60	𝓌𝑛+1	𝓌𝑛+1	X
iajs-3006	18	61	=	=	SYM
iajs-3006	18	62	(	(	PUNCT
iajs-3006	18	63	1	1	NUM
iajs-3006	18	64	−	−	NOUN
iajs-3006	18	65	𝛼𝑛)𝓌𝑛	𝛼𝑛)𝓌𝑛	X
iajs-3006	19	1	+	+	CCONJ
iajs-3006	19	2	𝛼𝑛	𝛼𝑛	PROPN
iajs-3006	19	3	ℐ𝓊𝑛	ℐ𝓊𝑛	PROPN
iajs-3006	19	4	,	,	PUNCT
iajs-3006	19	5	𝓊𝑛	𝓊𝑛	PROPN
iajs-3006	19	6	=	=	PUNCT
iajs-3006	19	7	(	(	PUNCT
iajs-3006	19	8	1	1	NUM
iajs-3006	19	9	−	−	NOUN
iajs-3006	19	10	𝛽𝑛)𝓌𝑛	𝛽𝑛)𝓌𝑛	X
iajs-3006	20	1	+	+	CCONJ
iajs-3006	20	2	𝛽𝑛	𝛽𝑛	PROPN
iajs-3006	20	3	𝒥𝓋𝑛	𝒥𝓋𝑛	PROPN
iajs-3006	20	4	,	,	PUNCT
iajs-3006	20	5	𝓋𝑛	𝓋𝑛	X
iajs-3006	20	6	=	=	X
iajs-3006	20	7	(	(	PUNCT
iajs-3006	20	8	1	1	NUM
iajs-3006	20	9	−	−	NOUN
iajs-3006	20	10	𝛾𝑛)𝓌𝑛	𝛾𝑛)𝓌𝑛	PUNCT
iajs-3006	21	1	+	+	CCONJ
iajs-3006	21	2	𝛾𝑛	𝛾𝑛	VERB
iajs-3006	21	3	ℐ𝓌𝑛	ℐ𝓌𝑛	PROPN
iajs-3006	21	4	,	,	PUNCT
iajs-3006	21	5	𝑛	𝑛	PRON
iajs-3006	21	6	∈	∈	NOUN
iajs-3006	21	7	𝑁	𝑁	PROPN
iajs-3006	21	8	(	(	PUNCT
iajs-3006	21	9	4	4	NUM
iajs-3006	21	10	)	)	PUNCT
iajs-3006	21	11	in[4],agrawal	in[4],agrawal	PROPN
iajs-3006	21	12	introduced	introduce	VERB
iajs-3006	21	13	for	for	ADP
iajs-3006	21	14	nearly	nearly	ADV
iajs-3006	21	15	non'expansive	non'expansive	ADJ
iajs-3006	21	16	maps	map	NOUN
iajs-3006	21	17	,	,	PUNCT
iajs-3006	21	18	two	two	NUM
iajs-3006	21	19	steps	step	NOUN
iajs-3006	21	20	as	as	ADP
iajs-3006	21	21	:	:	PUNCT
iajs-3006	21	22	𝓍0	𝓍0	PROPN
iajs-3006	21	23	∈	∈	PROPN
iajs-3006	21	24	ℳ	ℳ	PROPN
iajs-3006	21	25	,	,	PUNCT
iajs-3006	21	26	𝓍𝑛+1	𝓍𝑛+1	PROPN
iajs-3006	21	27	=	=	SYM
iajs-3006	21	28	(	(	PUNCT
iajs-3006	21	29	1	1	NUM
iajs-3006	21	30	−	−	NUM
iajs-3006	21	31	𝛼𝑛)𝒥𝓍𝑛	𝛼𝑛)𝒥𝓍𝑛	NOUN
iajs-3006	21	32	+	+	CCONJ
iajs-3006	21	33	𝛼𝑛𝒥𝑡𝑛	𝛼𝑛𝒥𝑡𝑛	NOUN
iajs-3006	21	34	,	,	PUNCT
iajs-3006	21	35	𝑡𝑛	𝑡𝑛	ADJ
iajs-3006	21	36	=	=	SYM
iajs-3006	21	37	(	(	PUNCT
iajs-3006	21	38	1	1	NUM
iajs-3006	21	39	−	−	NOUN
iajs-3006	21	40	𝛽𝑛)𝓍𝑛	𝛽𝑛)𝓍𝑛	X
iajs-3006	21	41	+	+	CCONJ
iajs-3006	21	42	𝛽𝑛𝒥𝓍𝑛	𝛽𝑛𝒥𝓍𝑛	ADJ
iajs-3006	21	43	,	,	PUNCT
iajs-3006	21	44	𝑛	𝑛	PRON
iajs-3006	21	45	∈	∈	PROPN
iajs-3006	21	46	n	n	CCONJ
iajs-3006	21	47	(	(	PUNCT
iajs-3006	21	48	5	5	NUM
iajs-3006	21	49	)	)	PUNCT
iajs-3006	21	50	𝑺𝑷	𝑺𝑷	NOUN
iajs-3006	21	51	−iteration	−iteration	NOUN
iajs-3006	22	1	[	[	X
iajs-3006	22	2	5	5	NUM
iajs-3006	22	3	]	]	PUNCT
iajs-3006	22	4	:	:	PUNCT
iajs-3006	22	5	𝓍0	𝓍0	PROPN
iajs-3006	22	6	∈	∈	PROPN
iajs-3006	22	7	ℳ	ℳ	PROPN
iajs-3006	22	8	,	,	PUNCT
iajs-3006	22	9	𝓍𝑛+1	𝓍𝑛+1	PROPN
iajs-3006	22	10	=	=	SYM
iajs-3006	22	11	𝛼𝑛	𝛼𝑛	PROPN
iajs-3006	22	12	𝒥𝑦𝑛	𝒥𝑦𝑛	PROPN
iajs-3006	22	13	+	+	PROPN
iajs-3006	22	14	(	(	PUNCT
iajs-3006	22	15	1	1	NUM
iajs-3006	22	16	−	−	NOUN
iajs-3006	22	17	𝛼𝑛)𝑦𝑛	𝛼𝑛)𝑦𝑛	NUM
iajs-3006	22	18	,	,	PUNCT
iajs-3006	22	19	𝑦𝑛	𝑦𝑛	NOUN
iajs-3006	22	20	=	=	PUNCT
iajs-3006	22	21	𝛽𝑛𝒥𝑧𝑛	𝛽𝑛𝒥𝑧𝑛	NOUN
iajs-3006	22	22	+	+	CCONJ
iajs-3006	22	23	(	(	PUNCT
iajs-3006	22	24	1	1	NUM
iajs-3006	22	25	−	−	PROPN
iajs-3006	22	26	𝛽𝑛)𝑧𝑛	𝛽𝑛)𝑧𝑛	PROPN
iajs-3006	22	27	,	,	PUNCT
iajs-3006	22	28	𝑧𝑛	𝑧𝑛	ADP
iajs-3006	22	29	=	=	PUNCT
iajs-3006	22	30	𝛾𝑛𝒥𝓍𝑛	𝛾𝑛𝒥𝓍𝑛	PROPN
iajs-3006	22	31	+	+	CCONJ
iajs-3006	22	32	(	(	PUNCT
iajs-3006	22	33	1	1	NUM
iajs-3006	22	34	−	−	NOUN
iajs-3006	22	35	𝛾𝑛)𝓍𝑛	𝛾𝑛)𝓍𝑛	PUNCT
iajs-3006	22	36	𝑛	𝑛	PRON
iajs-3006	22	37	∈	∈	NOUN
iajs-3006	22	38	𝑁	𝑁	PROPN
iajs-3006	22	39	(	(	PUNCT
iajs-3006	22	40	6	6	NUM
iajs-3006	22	41	)	)	PUNCT
iajs-3006	22	42	𝐂𝐑	𝐂𝐑	PROPN
iajs-3006	22	43	−iteration	−iteration	NOUN
iajs-3006	22	44	[	[	X
iajs-3006	22	45	6	6	NUM
iajs-3006	22	46	]	]	PUNCT
iajs-3006	22	47	:	:	PUNCT
iajs-3006	22	48	𝓌0	𝓌0	PROPN
iajs-3006	22	49	∈	∈	PROPN
iajs-3006	22	50	ℳ	ℳ	PROPN
iajs-3006	22	51	,	,	PUNCT
iajs-3006	22	52	𝓌n+1	𝓌n+1	PROPN
iajs-3006	22	53	=	=	PUNCT
iajs-3006	22	54	(	(	PUNCT
iajs-3006	22	55	1	1	NUM
iajs-3006	22	56	−	−	NUM
iajs-3006	22	57	αn)𝓊n	αn)𝓊n	NUM
iajs-3006	23	1	+	+	CCONJ
iajs-3006	23	2	αn	αn	NOUN
iajs-3006	24	1	𝒥𝓊n	𝒥𝓊n	PROPN
iajs-3006	24	2	,	,	PUNCT
iajs-3006	24	3	𝓊n	𝓊n	ADP
iajs-3006	24	4	=	=	PUNCT
iajs-3006	24	5	(	(	PUNCT
iajs-3006	24	6	1	1	NUM
iajs-3006	24	7	−	−	NOUN
iajs-3006	24	8	βn)𝒥𝓌n	βn)𝒥𝓌n	NOUN
iajs-3006	25	1	+	+	CCONJ
iajs-3006	25	2	βn	βn	VERB
iajs-3006	25	3	𝒥𝓋n	𝒥𝓋n	PROPN
iajs-3006	25	4	,	,	PUNCT
iajs-3006	25	5	vn	vn	NOUN
iajs-3006	25	6	=	=	PUNCT
iajs-3006	25	7	(	(	PUNCT
iajs-3006	25	8	1	1	NUM
iajs-3006	25	9	−	−	NOUN
iajs-3006	25	10	γn)𝓌n	γn)𝓌n	PUNCT
iajs-3006	26	1	+	+	PUNCT
iajs-3006	26	2	γn	γn	ADP
iajs-3006	26	3	𝒥𝓌n	𝒥𝓌n	PROPN
iajs-3006	26	4	,	,	PUNCT
iajs-3006	26	5	𝑛	𝑛	PRON
iajs-3006	26	6	∈	∈	PROPN
iajs-3006	26	7	n	n	CCONJ
iajs-3006	26	8	(	(	PUNCT
iajs-3006	26	9	7	7	NUM
iajs-3006	26	10	)	)	PUNCT
iajs-3006	26	11	modified	modify	VERB
iajs-3006	26	12	𝐒𝐏	𝐒𝐏	PROPN
iajs-3006	26	13	iteration	iteration	NOUN
iajs-3006	27	1	[	[	X
iajs-3006	27	2	7	7	NUM
iajs-3006	27	3	]	]	PUNCT
iajs-3006	27	4	:	:	PUNCT
iajs-3006	27	5	𝓍0	𝓍0	PROPN
iajs-3006	27	6	∈	∈	PROPN
iajs-3006	27	7	ℳ	ℳ	PROPN
iajs-3006	27	8	,	,	PUNCT
iajs-3006	27	9	(	(	PUNCT
iajs-3006	27	10	8)	8)	NUM
iajs-3006	27	11	𝓍n+1	𝓍n+1	NOUN
iajs-3006	27	12	=	=	SYM
iajs-3006	27	13	𝒥𝓎n	𝒥𝓎n	PROPN
iajs-3006	27	14	,	,	PUNCT
iajs-3006	27	15	𝓎n	𝓎n	ADP
iajs-3006	27	16	=	=	SYM
iajs-3006	27	17	(	(	PUNCT
iajs-3006	27	18	1	1	NUM
iajs-3006	27	19	−	−	NOUN
iajs-3006	27	20	αn)𝓏n	αn)𝓏n	PRON
iajs-3006	27	21	+	+	NUM
iajs-3006	27	22	αn	αn	ADJ
iajs-3006	27	23	𝒥𝓏n	𝒥𝓏n	PROPN
iajs-3006	27	24	,	,	PUNCT
iajs-3006	27	25	𝓏n	𝓏n	ADP
iajs-3006	27	26	=	=	SYM
iajs-3006	27	27	(	(	PUNCT
iajs-3006	27	28	1	1	NUM
iajs-3006	27	29	−	−	NOUN
iajs-3006	27	30	βn)𝓍n	βn)𝓍n	PUNCT
iajs-3006	28	1	+	+	CCONJ
iajs-3006	28	2	βn	βn	PROPN
iajs-3006	28	3	𝒥𝓍n	𝒥𝓍n	PROPN
iajs-3006	28	4	𝐊arahan	𝐊arahan	PROPN
iajs-3006	28	5	iteration	iteration	NOUN
iajs-3006	29	1	[	[	X
iajs-3006	29	2	8	8	NUM
iajs-3006	29	3	]	]	PUNCT
iajs-3006	29	4	:	:	PUNCT
iajs-3006	29	5	𝓌0	𝓌0	PROPN
iajs-3006	29	6	∈	∈	PROPN
iajs-3006	29	7	ℳ	ℳ	PROPN
iajs-3006	29	8	,	,	PUNCT
iajs-3006	29	9	𝓌n+1	𝓌n+1	PROPN
iajs-3006	29	10	=	=	PRON
iajs-3006	29	11	(	(	PUNCT
iajs-3006	29	12	1	1	NUM
iajs-3006	29	13	−	−	NOUN
iajs-3006	29	14	αn)𝒥𝓌n	αn)𝒥𝓌n	NOUN
iajs-3006	29	15	+	+	NUM
iajs-3006	29	16	αn	αn	NOUN
iajs-3006	30	1	𝒥𝓊n	𝒥𝓊n	PROPN
iajs-3006	30	2	,	,	PUNCT
iajs-3006	30	3	𝓊n	𝓊n	ADP
iajs-3006	30	4	=	=	PUNCT
iajs-3006	30	5	(	(	PUNCT
iajs-3006	30	6	1	1	NUM
iajs-3006	30	7	−	−	NOUN
iajs-3006	30	8	βn)𝓌n	βn)𝓌n	PUNCT
iajs-3006	31	1	+	+	CCONJ
iajs-3006	31	2	βn	βn	ADJ
iajs-3006	31	3	𝒥𝓋n	𝒥𝓋n	PROPN
iajs-3006	31	4	,	,	PUNCT
iajs-3006	31	5	,	,	PUNCT
iajs-3006	31	6	𝓋n	𝓋n	X
iajs-3006	31	7	=	=	PUNCT
iajs-3006	31	8	(	(	PUNCT
iajs-3006	31	9	1	1	NUM
iajs-3006	31	10	−	−	NOUN
iajs-3006	31	11	γn)𝓌n	γn)𝓌n	PUNCT
iajs-3006	32	1	+	+	PUNCT
iajs-3006	32	2	γn	γn	ADP
iajs-3006	32	3	𝒥𝓌n	𝒥𝓌n	PROPN
iajs-3006	32	4	,	,	PUNCT
iajs-3006	32	5	n	n	NOUN
iajs-3006	32	6	∈	∈	PROPN
iajs-3006	32	7	n	n	CCONJ
iajs-3006	32	8	(	(	PUNCT
iajs-3006	32	9	9	9	NUM
iajs-3006	32	10	)	)	PUNCT
iajs-3006	32	11	finally	finally	ADV
iajs-3006	32	12	,	,	PUNCT
iajs-3006	32	13	[	[	X
iajs-3006	32	14	9	9	NUM
iajs-3006	32	15	]	]	PUNCT
iajs-3006	32	16	studied	study	VERB
iajs-3006	32	17	the	the	DET
iajs-3006	32	18	existence	existence	NOUN
iajs-3006	32	19	of	of	ADP
iajs-3006	32	20	a	a	DET
iajs-3006	32	21	fpoint	fpoint	NOUN
iajs-3006	32	22	for	for	ADP
iajs-3006	32	23	type	type	NOUN
iajs-3006	32	24	of	of	ADP
iajs-3006	32	25	contraction	contraction	NOUN
iajs-3006	32	26	-	-	PUNCT
iajs-3006	32	27	maps	map	NOUN
iajs-3006	32	28	and	and	CCONJ
iajs-3006	32	29	the	the	DET
iajs-3006	32	30	convergence	convergence	NOUN
iajs-3006	32	31	of	of	ADP
iajs-3006	32	32	a	a	DET
iajs-3006	32	33	common	common	ADJ
iajs-3006	32	34	f	f	NOUN
iajs-3006	32	35	-	-	PUNCT
iajs-3006	32	36	point	point	NOUN
iajs-3006	32	37	for	for	ADP
iajs-3006	32	38	noor	noor	PROPN
iajs-3006	32	39	iteration	iteration	NOUN
iajs-3006	32	40	in	in	ADP
iajs-3006	32	41	complete	complete	ADJ
iajs-3006	32	42	convex	convex	NOUN
iajs-3006	32	43	metric	metric	ADJ
iajs-3006	32	44	spaces(com	spaces(com	NOUN
iajs-3006	32	45	con	con	PROPN
iajs-3006	32	46	m	m	PROPN
iajs-3006	32	47	-	-	PUNCT
iajs-3006	32	48	s	s	NOUN
iajs-3006	32	49	)	)	PUNCT
iajs-3006	32	50	.	.	PUNCT
iajs-3006	33	1	then	then	ADV
iajs-3006	33	2	a	a	DET
iajs-3006	33	3	lot	lot	NOUN
iajs-3006	33	4	of	of	ADP
iajs-3006	33	5	studies	study	NOUN
iajs-3006	33	6	were	be	AUX
iajs-3006	33	7	carried	carry	VERB
iajs-3006	33	8	out	out	ADP
iajs-3006	33	9	on	on	ADP
iajs-3006	33	10	this	this	DET
iajs-3006	33	11	topic	topic	NOUN
iajs-3006	33	12	,	,	PUNCT
iajs-3006	33	13	see[10	see[10	NUM
iajs-3006	33	14	-	-	PUNCT
iajs-3006	33	15	18	18	NUM
iajs-3006	33	16	]	]	PUNCT
iajs-3006	33	17	.	.	PUNCT
iajs-3006	34	1	ihjpas	ihjpas	PROPN
iajs-3006	34	2	.	.	PUNCT
iajs-3006	35	1	36	36	NUM
iajs-3006	35	2	(	(	PUNCT
iajs-3006	35	3	3	3	NUM
iajs-3006	35	4	)	)	PUNCT
iajs-3006	35	5	2023	2023	NUM
iajs-3006	35	6	285	285	NUM
iajs-3006	35	7	preliminaries	preliminary	NOUN
iajs-3006	35	8	in	in	ADP
iajs-3006	35	9	this	this	DET
iajs-3006	35	10	part	part	NOUN
iajs-3006	35	11	,	,	PUNCT
iajs-3006	35	12	we	we	PRON
iajs-3006	35	13	introduce	introduce	VERB
iajs-3006	35	14	some	some	DET
iajs-3006	35	15	concepts	concept	NOUN
iajs-3006	35	16	which	which	PRON
iajs-3006	35	17	is	be	AUX
iajs-3006	35	18	need	need	NOUN
iajs-3006	35	19	in	in	ADP
iajs-3006	35	20	this	this	DET
iajs-3006	35	21	work	work	NOUN
iajs-3006	35	22	,	,	PUNCT
iajs-3006	35	23	see[8,11and12	see[8,11and12	NOUN
iajs-3006	35	24	]	]	X
iajs-3006	35	25	.	.	PUNCT
iajs-3006	36	1	1	1	X
iajs-3006	36	2	.	.	X
iajs-3006	37	1	a	a	DET
iajs-3006	37	2	mapping𝒥	mapping𝒥	PROPN
iajs-3006	37	3	is	be	AUX
iajs-3006	37	4	called	call	VERB
iajs-3006	37	5	non'expansive	non'expansive	ADJ
iajs-3006	37	6	if	if	SCONJ
iajs-3006	37	7	:	:	PUNCT
iajs-3006	37	8	‖𝒥𝒶	‖𝒥𝒶	PUNCT
iajs-3006	37	9	−	−	PROPN
iajs-3006	37	10	𝒹‖	𝒹‖	ADJ
iajs-3006	38	1	≤‖	≤‖	PROPN
iajs-3006	38	2	𝒶	𝒶	NOUN
iajs-3006	38	3	−	−	PROPN
iajs-3006	38	4	𝒹	𝒹	PROPN
iajs-3006	38	5	‖	‖	PROPN
iajs-3006	38	6	for	for	ADP
iajs-3006	38	7	all	all	DET
iajs-3006	38	8	𝒶	𝒶	NOUN
iajs-3006	38	9	,	,	PUNCT
iajs-3006	38	10	𝒹	𝒹	PRON
iajs-3006	38	11	∈	∈	PROPN
iajs-3006	38	12	ℳ	ℳ	PROPN
iajs-3006	38	13	2	2	NUM
iajs-3006	38	14	.	.	PUNCT
iajs-3006	39	1	a	a	DET
iajs-3006	39	2	mapping	mapping	NOUN
iajs-3006	39	3	𝒥	𝒥	PRON
iajs-3006	39	4	is	be	AUX
iajs-3006	39	5	called	call	VERB
iajs-3006	39	6	quasi'nonexpansive	quasi'nonexpansive	ADJ
iajs-3006	39	7	if	if	SCONJ
iajs-3006	39	8	:	:	PUNCT
iajs-3006	39	9	𝐹(𝒥	𝐹(𝒥	NUM
iajs-3006	39	10	)	)	PUNCT
iajs-3006	39	11	≠	≠	PROPN
iajs-3006	39	12	∅	∅	NOUN
iajs-3006	39	13	and	and	CCONJ
iajs-3006	39	14	‖𝒥𝒶	‖𝒥𝒶	PUNCT
iajs-3006	39	15	−	−	PROPN
iajs-3006	40	1	𝒥𝒷	𝒥𝒷	PRON
iajs-3006	40	2	‖	‖	PROPN
iajs-3006	40	3	≤	≤	ADJ
iajs-3006	40	4	‖𝒶	‖𝒶	NOUN
iajs-3006	40	5	−	−	X
iajs-3006	40	6	𝒷‖	𝒷‖	NOUN
iajs-3006	40	7	for	for	ADP
iajs-3006	40	8	all	all	DET
iajs-3006	40	9	𝒶	𝒶	NOUN
iajs-3006	40	10	,	,	PUNCT
iajs-3006	40	11	𝒷	𝒷	PRON
iajs-3006	40	12	∈	∈	PROPN
iajs-3006	40	13	ℳ	ℳ	NOUN
iajs-3006	40	14	and	and	CCONJ
iajs-3006	40	15	𝑦	𝑦	NOUN
iajs-3006	40	16	∈	∈	NOUN
iajs-3006	40	17	𝐹(𝒥	𝐹(𝒥	NOUN
iajs-3006	40	18	)	)	PUNCT
iajs-3006	40	19	.	.	PUNCT
iajs-3006	41	1	3	3	X
iajs-3006	41	2	.	.	X
iajs-3006	41	3	it	it	PRON
iajs-3006	41	4	is	be	AUX
iajs-3006	41	5	easy	easy	ADJ
iajs-3006	41	6	to	to	PART
iajs-3006	41	7	see	see	VERB
iajs-3006	41	8	that	that	SCONJ
iajs-3006	41	9	if	if	SCONJ
iajs-3006	41	10	𝒥	𝒥	PRON
iajs-3006	41	11	is	be	AUX
iajs-3006	41	12	non'expansive	non'expansive	ADJ
iajs-3006	41	13	with	with	ADP
iajs-3006	41	14	𝐹(𝒥	𝐹(𝒥	NOUN
iajs-3006	41	15	)	)	PUNCT
iajs-3006	41	16	≠	≠	PROPN
iajs-3006	41	17	∅	∅	NOUN
iajs-3006	41	18	,	,	PUNCT
iajs-3006	41	19	then	then	ADV
iajs-3006	41	20	it	it	PRON
iajs-3006	41	21	is	be	AUX
iajs-3006	41	22	quasi'nonexpansive	quasi'nonexpansive	ADJ
iajs-3006	41	23	.	.	PUNCT
iajs-3006	42	1	4	4	NUM
iajs-3006	42	2	.	.	X
iajs-3006	42	3	a	a	DET
iajs-3006	42	4	mapping	mapping	NOUN
iajs-3006	42	5	𝒥	𝒥	PRON
iajs-3006	42	6	is	be	AUX
iajs-3006	42	7	said	say	VERB
iajs-3006	42	8	to	to	PART
iajs-3006	42	9	be	be	AUX
iajs-3006	42	10	e	e	NOUN
iajs-3006	42	11	pseudocontractive	pseudocontractive	NOUN
iajs-3006	42	12	if	if	SCONJ
iajs-3006	42	13	the	the	DET
iajs-3006	42	14	inequality	inequality	NOUN
iajs-3006	42	15	‖𝒶	‖𝒶	PROPN
iajs-3006	42	16	−	−	PROPN
iajs-3006	42	17	𝒷‖	𝒷‖	PROPN
iajs-3006	42	18	≤	≤	NUM
iajs-3006	42	19	‖𝒶	‖𝒶	NOUN
iajs-3006	42	20	−	−	PROPN
iajs-3006	43	1	𝒷	𝒷	PROPN
iajs-3006	43	2	+	+	CCONJ
iajs-3006	43	3	𝑡[(𝐼	𝑡[(𝐼	ADJ
iajs-3006	43	4	−	−	NOUN
iajs-3006	43	5	𝒥)𝒶	𝒥)𝒶	NOUN
iajs-3006	43	6	−	−	PROPN
iajs-3006	44	1	(	(	PUNCT
iajs-3006	44	2	𝐼	𝐼	ADP
iajs-3006	44	3	−	−	NOUN
iajs-3006	44	4	𝒥)𝒷]‖	𝒥)𝒷]‖	ADV
iajs-3006	44	5	hold	hold	VERB
iajs-3006	44	6	for	for	ADP
iajs-3006	44	7	each	each	DET
iajs-3006	44	8	𝒶	𝒶	NOUN
iajs-3006	44	9	,	,	PUNCT
iajs-3006	44	10	𝒷	𝒷	NOUN
iajs-3006	44	11	∈	∈	PROPN
iajs-3006	44	12	ℳ	ℳ	PROPN
iajs-3006	44	13	and	and	CCONJ
iajs-3006	44	14	all	all	DET
iajs-3006	44	15	𝑡	𝑡	X
iajs-3006	44	16	>	>	X
iajs-3006	44	17	0	0	NUM
iajs-3006	44	18	.	.	PUNCT
iajs-3006	45	1	some	some	DET
iajs-3006	45	2	proximal	proximal	ADJ
iajs-3006	45	3	scheme	scheme	NOUN
iajs-3006	45	4	are	be	AUX
iajs-3006	45	5	used	use	VERB
iajs-3006	45	6	to	to	PART
iajs-3006	45	7	approximate	approximate	VERB
iajs-3006	45	8	a	a	DET
iajs-3006	45	9	fpoint	fpoint	NOUN
iajs-3006	45	10	of	of	ADP
iajs-3006	45	11	zamfirescu	zamfirescu	PROPN
iajs-3006	45	12	maps	maps	PROPN
iajs-3006	45	13	are	be	AUX
iajs-3006	45	14	the	the	DET
iajs-3006	45	15	most	most	ADV
iajs-3006	45	16	general	general	ADJ
iajs-3006	45	17	contractive	contractive	ADJ
iajs-3006	45	18	maps	map	NOUN
iajs-3006	45	19	satisfying	satisfy	VERB
iajs-3006	45	20	the	the	DET
iajs-3006	45	21	condition	condition	NOUN
iajs-3006	45	22	:	:	PUNCT
iajs-3006	45	23	∀𝒶	∀𝒶	PROPN
iajs-3006	45	24	,	,	PUNCT
iajs-3006	45	25	𝒷	𝒷	PROPN
iajs-3006	45	26	𝑙𝑖𝑒𝑠	𝑙𝑖𝑒𝑠	PROPN
iajs-3006	45	27	𝑖𝑛	𝑖𝑛	X
iajs-3006	45	28	ℳ	ℳ	VERB
iajs-3006	45	29	at	at	ADV
iajs-3006	45	30	least	least	ADJ
iajs-3006	45	31	one	one	NUM
iajs-3006	45	32	of	of	ADP
iajs-3006	45	33	the	the	DET
iajs-3006	45	34	conditions	condition	NOUN
iajs-3006	45	35	is	be	AUX
iajs-3006	45	36	true	true	ADJ
iajs-3006	45	37	:	:	PUNCT
iajs-3006	45	38	(	(	PUNCT
iajs-3006	45	39	𝑖	𝑖	X
iajs-3006	45	40	)	)	PUNCT
iajs-3006	45	41	𝒹	𝒹	NOUN
iajs-3006	45	42	(	(	PUNCT
iajs-3006	45	43	𝒥𝒶	𝒥𝒶	PROPN
iajs-3006	45	44	,	,	PUNCT
iajs-3006	45	45	𝒥𝒷	𝒥𝒷	NOUN
iajs-3006	45	46	)	)	PUNCT
iajs-3006	45	47	≤	≤	PUNCT
iajs-3006	46	1	𝒫𝒹	𝒫𝒹	PROPN
iajs-3006	46	2	(	(	PUNCT
iajs-3006	46	3	𝒶	𝒶	PROPN
iajs-3006	46	4	,	,	PUNCT
iajs-3006	46	5	𝒷	𝒷	NOUN
iajs-3006	46	6	)	)	PUNCT
iajs-3006	46	7	,	,	PUNCT
iajs-3006	46	8	(	(	PUNCT
iajs-3006	46	9	𝑖𝑖	𝑖𝑖	NOUN
iajs-3006	46	10	)	)	PUNCT
iajs-3006	46	11	𝒹(𝒥𝒶	𝒹(𝒥𝒶	NOUN
iajs-3006	46	12	,	,	PUNCT
iajs-3006	46	13	𝒥𝒷	𝒥𝒷	NOUN
iajs-3006	46	14	)	)	PUNCT
iajs-3006	46	15	≤	≤	NOUN
iajs-3006	46	16	𝒬	𝒬	PROPN
iajs-3006	47	1	[	[	X
iajs-3006	47	2	𝒹	𝒹	X
iajs-3006	47	3	(	(	PUNCT
iajs-3006	47	4	𝒶	𝒶	NOUN
iajs-3006	47	5	,	,	PUNCT
iajs-3006	47	6	𝒥𝒶	𝒥𝒶	PROPN
iajs-3006	47	7	)	)	PUNCT
iajs-3006	47	8	+	+	CCONJ
iajs-3006	47	9	𝒹(𝒷	𝒹(𝒷	PROPN
iajs-3006	47	10	,	,	PUNCT
iajs-3006	47	11	𝒥𝒷	𝒥𝒷	NOUN
iajs-3006	47	12	)	)	PUNCT
iajs-3006	47	13	]	]	PUNCT
iajs-3006	47	14	,	,	PUNCT
iajs-3006	47	15	(	(	PUNCT
iajs-3006	47	16	𝑖𝑖𝑖	𝑖𝑖𝑖	NOUN
iajs-3006	47	17	)	)	PUNCT
iajs-3006	47	18	𝒹	𝒹	PROPN
iajs-3006	47	19	(	(	PUNCT
iajs-3006	47	20	𝒥𝒶	𝒥𝒶	PROPN
iajs-3006	47	21	,	,	PUNCT
iajs-3006	47	22	𝒥𝒷	𝒥𝒷	NOUN
iajs-3006	47	23	)	)	PUNCT
iajs-3006	47	24	≤	≤	NUM
iajs-3006	47	25	ℛ	ℛ	PROPN
iajs-3006	48	1	[	[	X
iajs-3006	48	2	𝒹	𝒹	X
iajs-3006	48	3	(	(	PUNCT
iajs-3006	48	4	𝒶	𝒶	NOUN
iajs-3006	48	5	,	,	PUNCT
iajs-3006	48	6	𝒥𝒷	𝒥𝒷	NOUN
iajs-3006	48	7	)	)	PUNCT
iajs-3006	48	8	+	+	SYM
iajs-3006	48	9	𝒹	𝒹	X
iajs-3006	48	10	(	(	PUNCT
iajs-3006	48	11	𝒷	𝒷	PROPN
iajs-3006	48	12	,	,	PUNCT
iajs-3006	48	13	𝒥𝒶	𝒥𝒶	PROPN
iajs-3006	48	14	)	)	PUNCT
iajs-3006	48	15	]	]	PUNCT
iajs-3006	48	16	.	.	PUNCT
iajs-3006	49	1	where	where	SCONJ
iajs-3006	49	2	0	0	NUM
iajs-3006	49	3	≤	≤	NOUN
iajs-3006	49	4	𝒫≤	𝒫≤	NOUN
iajs-3006	49	5	1	1	NUM
iajs-3006	49	6	,	,	PUNCT
iajs-3006	49	7	0	0	NUM
iajs-3006	49	8	≤	≤	NUM
iajs-3006	49	9	𝒬	𝒬	NOUN
iajs-3006	49	10	,	,	PUNCT
iajs-3006	49	11	and	and	CCONJ
iajs-3006	49	12	ℛ	ℛ	PROPN
iajs-3006	49	13	≤	≤	ADJ
iajs-3006	49	14	1/2	1/2	NUM
iajs-3006	49	15	definition	definition	NOUN
iajs-3006	49	16	:	:	PUNCT
iajs-3006	49	17	let	let	VERB
iajs-3006	49	18	ᶂ	ᶂ	NOUN
iajs-3006	49	19	,	,	PUNCT
iajs-3006	49	20	ᶃ	ᶃ	PROPN
iajs-3006	49	21	:	:	PUNCT
iajs-3006	49	22	ℋ	ℋ	PROPN
iajs-3006	49	23	→	→	SYM
iajs-3006	49	24	ℋ	ℋ	PROPN
iajs-3006	49	25	be	be	AUX
iajs-3006	49	26	a	a	DET
iajs-3006	49	27	two	two	NUM
iajs-3006	49	28	mappings	mapping	NOUN
iajs-3006	49	29	.	.	PUNCT
iajs-3006	50	1	a	a	DET
iajs-3006	50	2	point	point	NOUN
iajs-3006	50	3	𝒶	𝒶	X
iajs-3006	50	4	∈	∈	PROPN
iajs-3006	50	5	ℋ	ℋ	PROPN
iajs-3006	50	6	is	be	AUX
iajs-3006	50	7	called	call	VERB
iajs-3006	50	8	fpoint	fpoint	NOUN
iajs-3006	50	9	of	of	ADP
iajs-3006	50	10	ᶂ	ᶂ	PRON
iajs-3006	50	11	if	if	SCONJ
iajs-3006	50	12	ᶂ	ᶂ	X
iajs-3006	50	13	(	(	PUNCT
iajs-3006	50	14	𝒶	𝒶	NOUN
iajs-3006	50	15	)	)	PUNCT
iajs-3006	50	16	=	=	SYM
iajs-3006	50	17	𝒶	𝒶	NOUN
iajs-3006	50	18	,	,	PUNCT
iajs-3006	50	19	a	a	DET
iajs-3006	50	20	common	common	ADJ
iajs-3006	50	21	f	f	NOUN
iajs-3006	50	22	-	-	PUNCT
iajs-3006	50	23	point	point	NOUN
iajs-3006	50	24	of	of	ADP
iajs-3006	50	25	a	a	DET
iajs-3006	50	26	pair	pair	NOUN
iajs-3006	50	27	(	(	PUNCT
iajs-3006	50	28	ᶂ	ᶂ	NOUN
iajs-3006	50	29	,	,	PUNCT
iajs-3006	50	30	ᶃ	ᶃ	X
iajs-3006	50	31	)	)	PUNCT
iajs-3006	50	32	if	if	SCONJ
iajs-3006	50	33	ᶂ	ᶂ	X
iajs-3006	50	34	(	(	PUNCT
iajs-3006	50	35	𝒶	𝒶	NOUN
iajs-3006	50	36	)	)	PUNCT
iajs-3006	50	37	=	=	SYM
iajs-3006	50	38	ᶃ(𝒶	ᶃ(𝒶	NOUN
iajs-3006	50	39	)	)	PUNCT
iajs-3006	50	40	=	=	SYM
iajs-3006	50	41	𝒶	𝒶	PRON
iajs-3006	50	42	an	an	DET
iajs-3006	50	43	a	a	DET
iajs-3006	50	44	coincidence	coincidence	NOUN
iajs-3006	50	45	point	point	NOUN
iajs-3006	50	46	of	of	ADP
iajs-3006	50	47	(	(	PUNCT
iajs-3006	50	48	ᶂ	ᶂ	X
iajs-3006	50	49	,	,	PUNCT
iajs-3006	50	50	ᶃ	ᶃ	PROPN
iajs-3006	50	51	)	)	PUNCT
iajs-3006	50	52	𝑖𝑓	𝑖𝑓	ADP
iajs-3006	50	53	ᶂ	ᶂ	X
iajs-3006	50	54	(	(	PUNCT
iajs-3006	50	55	𝒶	𝒶	NOUN
iajs-3006	50	56	)	)	PUNCT
iajs-3006	50	57	=	=	SYM
iajs-3006	50	58	ᶃ(𝒶	ᶃ(𝒶	NOUN
iajs-3006	50	59	)	)	PUNCT
iajs-3006	50	60	.	.	PUNCT
iajs-3006	51	1	remarks	remark	NOUN
iajs-3006	51	2	:	:	PUNCT
iajs-3006	51	3	amappingzamfirescu	amappingzamfirescu	PROPN
iajs-3006	51	4	is	be	AUX
iajs-3006	51	5	equivalent	equivalent	ADJ
iajs-3006	51	6	to	to	ADP
iajs-3006	51	7	the	the	DET
iajs-3006	51	8	condition	condition	NOUN
iajs-3006	51	9	:	:	PUNCT
iajs-3006	52	1	𝑑	𝑑	X
iajs-3006	52	2	(	(	PUNCT
iajs-3006	52	3	𝑇𝒶	𝑇𝒶	PROPN
iajs-3006	52	4	,	,	PUNCT
iajs-3006	52	5	𝑇𝒷	𝑇𝒷	NOUN
iajs-3006	52	6	)	)	PUNCT
iajs-3006	52	7	≤	≤	NUM
iajs-3006	52	8	ℯ	ℯ	AUX
iajs-3006	52	9	𝑚𝑎𝑥	𝑚𝑎𝑥	X
iajs-3006	52	10	{	{	PUNCT
iajs-3006	52	11	𝑑	𝑑	NOUN
iajs-3006	52	12	(	(	PUNCT
iajs-3006	52	13	𝒶	𝒶	PROPN
iajs-3006	52	14	,	,	PUNCT
iajs-3006	52	15	𝒷	𝒷	NOUN
iajs-3006	52	16	)	)	PUNCT
iajs-3006	52	17	,	,	PUNCT
iajs-3006	52	18	{	{	PUNCT
iajs-3006	52	19	𝒹	𝒹	X
iajs-3006	52	20	(	(	PUNCT
iajs-3006	52	21	𝒶	𝒶	PROPN
iajs-3006	52	22	,	,	PUNCT
iajs-3006	52	23	t𝒶)+	t𝒶)+	VERB
iajs-3006	52	24	𝒹(𝒷,t𝒷	𝒹(𝒷,t𝒷	NOUN
iajs-3006	52	25	)	)	PUNCT
iajs-3006	52	26	}	}	PUNCT
iajs-3006	52	27	2	2	NUM
iajs-3006	52	28	,	,	PUNCT
iajs-3006	52	29	{	{	PUNCT
iajs-3006	52	30	𝒹	𝒹	X
iajs-3006	52	31	(	(	PUNCT
iajs-3006	52	32	𝒶	𝒶	NOUN
iajs-3006	52	33	,	,	PUNCT
iajs-3006	52	34	𝑇𝒷	𝑇𝒷	NOUN
iajs-3006	52	35	)	)	PUNCT
iajs-3006	52	36	+	+	CCONJ
iajs-3006	52	37	𝒹	𝒹	X
iajs-3006	52	38	(	(	PUNCT
iajs-3006	52	39	𝒷	𝒷	PROPN
iajs-3006	52	40	,	,	PUNCT
iajs-3006	52	41	𝑇𝒶	𝑇𝒶	NOUN
iajs-3006	52	42	)	)	PUNCT
iajs-3006	52	43	}	}	PUNCT
iajs-3006	52	44	2	2	NUM
iajs-3006	52	45	}	}	PUNCT
iajs-3006	52	46	∀𝒶	∀𝒶	PROPN
iajs-3006	52	47	,	,	PUNCT
iajs-3006	52	48	𝒷	𝒷	PROPN
iajs-3006	52	49	∈	∈	PROPN
iajs-3006	52	50	ℋ	ℋ	PROPN
iajs-3006	52	51	,	,	PUNCT
iajs-3006	52	52	0	0	NUM
iajs-3006	52	53	<	<	X
iajs-3006	52	54	ℯ	ℯ	X
iajs-3006	52	55	<	<	X
iajs-3006	52	56	1	1	NUM
iajs-3006	52	57	.	.	PUNCT
iajs-3006	52	58	definition[12	definition[12	NOUN
iajs-3006	52	59	]	]	X
iajs-3006	52	60	:	:	PUNCT
iajs-3006	52	61	a	a	DET
iajs-3006	52	62	mapping	mapping	NOUN
iajs-3006	52	63	ℛ	ℛ	NOUN
iajs-3006	52	64	:	:	PUNCT
iajs-3006	52	65	ℋ	ℋ	VERB
iajs-3006	52	66	×	×	NOUN
iajs-3006	52	67	ℋ	ℋ	PROPN
iajs-3006	52	68	×	×	NOUN
iajs-3006	52	69	[	[	X
iajs-3006	52	70	0,1	0,1	NUM
iajs-3006	52	71	]	]	PUNCT
iajs-3006	52	72	→	→	SYM
iajs-3006	52	73	ℋ	ℋ	PROPN
iajs-3006	52	74	is	be	AUX
iajs-3006	52	75	called	call	VERB
iajs-3006	52	76	convex	convex	ADJ
iajs-3006	52	77	structure	structure	NOUN
iajs-3006	52	78	on	on	ADP
iajs-3006	52	79	m	m	NOUN
iajs-3006	52	80	-	-	NOUN
iajs-3006	52	81	space	space	NOUN
iajs-3006	52	82	,	,	PUNCT
iajs-3006	52	83	if	if	SCONJ
iajs-3006	52	84	for	for	ADP
iajs-3006	52	85	each	each	DET
iajs-3006	52	86	(	(	PUNCT
iajs-3006	52	87	𝒶	𝒶	PROPN
iajs-3006	52	88	,	,	PUNCT
iajs-3006	52	89	𝒷	𝒷	NOUN
iajs-3006	52	90	,	,	PUNCT
iajs-3006	52	91	𝜆	𝜆	X
iajs-3006	52	92	)	)	PUNCT
iajs-3006	52	93	∈	∈	PROPN
iajs-3006	52	94	ℋ	ℋ	NOUN
iajs-3006	52	95	×	×	NOUN
iajs-3006	52	96	ℋ	ℋ	PROPN
iajs-3006	52	97	×	×	NOUN
iajs-3006	52	98	[	[	X
iajs-3006	52	99	0,1	0,1	NUM
iajs-3006	52	100	]	]	PUNCT
iajs-3006	52	101	and	and	CCONJ
iajs-3006	52	102	𝑢	𝑢	PROPN
iajs-3006	52	103	∈	∈	PROPN
iajs-3006	52	104	ℋ	ℋ	PROPN
iajs-3006	52	105	,	,	PUNCT
iajs-3006	52	106	𝒹(𝑢	𝒹(𝑢	PROPN
iajs-3006	52	107	,	,	PUNCT
iajs-3006	52	108	ℛ(𝒶	ℛ(𝒶	PROPN
iajs-3006	52	109	,	,	PUNCT
iajs-3006	52	110	𝒷	𝒷	PROPN
iajs-3006	52	111	,	,	PUNCT
iajs-3006	52	112	𝜆	𝜆	NOUN
iajs-3006	52	113	)	)	PUNCT
iajs-3006	52	114	)	)	PUNCT
iajs-3006	52	115	≤	≤	NOUN
iajs-3006	52	116	𝜆𝒹(𝑢	𝜆𝒹(𝑢	NOUN
iajs-3006	52	117	,	,	PUNCT
iajs-3006	52	118	𝒶	𝒶	NOUN
iajs-3006	52	119	)	)	PUNCT
iajs-3006	52	120	+	+	CCONJ
iajs-3006	52	121	(	(	PUNCT
iajs-3006	52	122	1	1	NUM
iajs-3006	52	123	−	−	NOUN
iajs-3006	52	124	𝜆	𝜆	X
iajs-3006	52	125	)	)	PUNCT
iajs-3006	52	126	𝒹(𝑢	𝒹(𝑢	PROPN
iajs-3006	52	127	,	,	PUNCT
iajs-3006	52	128	𝒷	𝒷	NOUN
iajs-3006	52	129	)	)	PUNCT
iajs-3006	52	130	.	.	PUNCT
iajs-3006	53	1	definition	definition	NOUN
iajs-3006	54	1	[	[	X
iajs-3006	54	2	13	13	NUM
iajs-3006	54	3	]	]	NUM
iajs-3006	54	4	:	:	PUNCT
iajs-3006	54	5	letᶃ	letᶃ	NOUN
iajs-3006	54	6	:	:	PUNCT
iajs-3006	54	7	ℋ	ℋ	PROPN
iajs-3006	54	8	→	→	SYM
iajs-3006	54	9	ℋ	ℋ	PROPN
iajs-3006	54	10	be	be	AUX
iajs-3006	54	11	a	a	DET
iajs-3006	54	12	mappings	mapping	NOUN
iajs-3006	54	13	,	,	PUNCT
iajs-3006	54	14	{	{	PUNCT
iajs-3006	54	15	𝒦𝑛}𝑛=0	𝒦𝑛}𝑛=0	X
iajs-3006	54	16	∞	∞	PROPN
iajs-3006	54	17	⊂	⊂	PROPN
iajs-3006	54	18	ℋ,and	ℋ,and	PROPN
iajs-3006	54	19	𝜀𝑛	𝜀𝑛	PROPN
iajs-3006	54	20	=	=	SYM
iajs-3006	54	21	𝑑(𝒦𝑛+1	𝑑(𝒦𝑛+1	PROPN
iajs-3006	54	22	,	,	PUNCT
iajs-3006	54	23	ᶂ	ᶂ	X
iajs-3006	54	24	(	(	PUNCT
iajs-3006	54	25	ᶃ	ᶃ	NUM
iajs-3006	54	26	,	,	PUNCT
iajs-3006	54	27	𝒦𝑛	𝒦𝑛	NOUN
iajs-3006	54	28	)	)	PUNCT
iajs-3006	54	29	)	)	PUNCT
iajs-3006	54	30	,	,	PUNCT
iajs-3006	54	31	𝑛	𝑛	PROPN
iajs-3006	54	32	=	=	SYM
iajs-3006	54	33	0,1,2	0,1,2	NUM
iajs-3006	54	34	,	,	PUNCT
iajs-3006	54	35	…	…	PUNCT
iajs-3006	54	36	.then	.then	X
iajs-3006	54	37	𝒦𝑛+1	𝒦𝑛+1	NOUN
iajs-3006	54	38	=	=	SYM
iajs-3006	54	39	ᶂ	ᶂ	X
iajs-3006	54	40	(	(	PUNCT
iajs-3006	54	41	ᶃ	ᶃ	NUM
iajs-3006	54	42	,	,	PUNCT
iajs-3006	54	43	𝒦𝑛	𝒦𝑛	NOUN
iajs-3006	54	44	)	)	PUNCT
iajs-3006	54	45	is	be	AUX
iajs-3006	54	46	said	say	VERB
iajs-3006	54	47	to	to	PART
iajs-3006	54	48	be	be	AUX
iajs-3006	54	49	𝑇-stable	𝑇-stable	ADJ
iajs-3006	54	50	or	or	CCONJ
iajs-3006	54	51	stable	stable	ADJ
iajs-3006	54	52	with	with	ADP
iajs-3006	54	53	respect	respect	NOUN
iajs-3006	54	54	to	to	ADP
iajs-3006	54	55	ᶃ	ᶃ	PRON
iajs-3006	54	56	if	if	SCONJ
iajs-3006	54	57	and	and	CCONJ
iajs-3006	54	58	only	only	ADV
iajs-3006	54	59	if	if	SCONJ
iajs-3006	54	60	ihjpas	ihjpa	NOUN
iajs-3006	54	61	.	.	PUNCT
iajs-3006	55	1	36	36	NUM
iajs-3006	55	2	(	(	PUNCT
iajs-3006	55	3	3	3	NUM
iajs-3006	55	4	)	)	PUNCT
iajs-3006	55	5	2023	2023	NUM
iajs-3006	55	6	286	286	NUM
iajs-3006	55	7	lim	lim	NOUN
iajs-3006	55	8	𝑛→∞	𝑛→∞	NUM
iajs-3006	55	9	𝜀𝑛	𝜀𝑛	PROPN
iajs-3006	55	10	=	=	SYM
iajs-3006	55	11	0	0	NUM
iajs-3006	55	12	implies	imply	VERB
iajs-3006	55	13	lim	lim	PROPN
iajs-3006	55	14	𝑛→∞	𝑛→∞	PUNCT
iajs-3006	55	15	𝒦𝑛	𝒦𝑛	PROPN
iajs-3006	55	16	=	=	NOUN
iajs-3006	55	17	𝒫.	𝒫.	NOUN
iajs-3006	55	18	definition	definition	NOUN
iajs-3006	55	19	[	[	X
iajs-3006	55	20	14	14	NUM
iajs-3006	55	21	]	]	X
iajs-3006	55	22	:	:	PUNCT
iajs-3006	55	23	let	let	VERB
iajs-3006	55	24	{	{	PUNCT
iajs-3006	55	25	𝒶n	𝒶n	INTJ
iajs-3006	55	26	}	}	PUNCT
iajs-3006	55	27	0	0	NUM
iajs-3006	55	28	∞	∞	NUM
iajs-3006	55	29	,	,	PUNCT
iajs-3006	55	30	{	{	PUNCT
iajs-3006	55	31	𝒷n	𝒷n	X
iajs-3006	55	32	}	}	PUNCT
iajs-3006	55	33	0	0	NUM
iajs-3006	55	34	∞	∞	PROPN
iajs-3006	55	35	∈	∈	PROPN
iajs-3006	55	36	𝑅	𝑅	PROPN
iajs-3006	55	37	and	and	CCONJ
iajs-3006	55	38	converge	converge	VERB
iajs-3006	55	39	to	to	ADP
iajs-3006	55	40	𝒶	𝒶	PROPN
iajs-3006	55	41	and	and	CCONJ
iajs-3006	55	42	𝒷	𝒷	PRON
iajs-3006	55	43	a	a	PRON
iajs-3006	55	44	,	,	PUNCT
iajs-3006	55	45	respectively	respectively	ADV
iajs-3006	55	46	,	,	PUNCT
iajs-3006	55	47	and	and	CCONJ
iajs-3006	55	48	𝑙𝑖𝑚	𝑙𝑖𝑚	VERB
iajs-3006	55	49	𝑛→∞	𝑛→∞	NUM
iajs-3006	55	50	|𝒶𝑛−𝒶|	|𝒶𝑛−𝒶|	PROPN
iajs-3006	55	51	|𝒷𝑛−𝒷|	|𝒷𝑛−𝒷|	X
iajs-3006	55	52	=	=	SYM
iajs-3006	55	53	𝓈	𝓈	NOUN
iajs-3006	55	54	,	,	PUNCT
iajs-3006	55	55	if	if	SCONJ
iajs-3006	55	56	𝓈	𝓈	VERB
iajs-3006	55	57	=	=	SYM
iajs-3006	55	58	0	0	NUM
iajs-3006	55	59	,	,	PUNCT
iajs-3006	55	60	then	then	ADV
iajs-3006	55	61	{	{	PUNCT
iajs-3006	55	62	𝒶n	𝒶n	INTJ
iajs-3006	55	63	}	}	PUNCT
iajs-3006	55	64	0	0	NUM
iajs-3006	55	65	∞	∞	NUM
iajs-3006	55	66	⇢	⇢	NOUN
iajs-3006	55	67	𝒶	𝒶	NOUN
iajs-3006	55	68	faster	fast	ADV
iajs-3006	55	69	than	than	ADP
iajs-3006	55	70	{	{	PUNCT
iajs-3006	55	71	𝒷𝑛	𝒷𝑛	NOUN
iajs-3006	55	72	}	}	SYM
iajs-3006	55	73	0	0	NUM
iajs-3006	55	74	∞	∞	NUM
iajs-3006	55	75	⇢	⇢	NOUN
iajs-3006	55	76	𝒷and	𝒷and	NOUN
iajs-3006	55	77	if	if	SCONJ
iajs-3006	55	78	0	0	NUM
iajs-3006	55	79	˂𝓈˂∞	˂𝓈˂∞	PROPN
iajs-3006	55	80	,	,	PUNCT
iajs-3006	55	81	then	then	ADV
iajs-3006	55	82	it	it	PRON
iajs-3006	55	83	can	can	AUX
iajs-3006	55	84	be	be	AUX
iajs-3006	55	85	said	say	VERB
iajs-3006	55	86	that	that	SCONJ
iajs-3006	55	87	𝒶𝑛	𝒶𝑛	PROPN
iajs-3006	55	88	and	and	CCONJ
iajs-3006	55	89	{	{	PUNCT
iajs-3006	55	90	𝒷𝑛	𝒷𝑛	NOUN
iajs-3006	55	91	}	}	SYM
iajs-3006	55	92	0	0	NUM
iajs-3006	56	1	∞	∞	NUM
iajs-3006	56	2	have	have	VERB
iajs-3006	56	3	the	the	DET
iajs-3006	56	4	same	same	ADJ
iajs-3006	56	5	rate	rate	NOUN
iajs-3006	56	6	of	of	ADP
iajs-3006	56	7	convergence	convergence	NOUN
iajs-3006	56	8	.	.	PUNCT
iajs-3006	57	1	lemma	lemma	PROPN
iajs-3006	57	2	:	:	PUNCT
iajs-3006	58	1	[	[	X
iajs-3006	58	2	15	15	NUM
iajs-3006	58	3	]	]	PUNCT
iajs-3006	58	4	.	.	PUNCT
iajs-3006	59	1	if	if	SCONJ
iajs-3006	59	2	0	0	NUM
iajs-3006	59	3	≤	≤	NOUN
iajs-3006	59	4	𝒬	𝒬	NOUN
iajs-3006	59	5	<	<	X
iajs-3006	59	6	1	1	NUM
iajs-3006	59	7	and	and	CCONJ
iajs-3006	59	8	{	{	PUNCT
iajs-3006	59	9	𝒩n}n	𝒩n}n	NOUN
iajs-3006	59	10	∞=0	∞=0	PROPN
iajs-3006	59	11	is	be	AUX
iajs-3006	59	12	a	a	DET
iajs-3006	59	13	positive	positive	ADJ
iajs-3006	59	14	r	r	NOUN
iajs-3006	59	15	-	-	PUNCT
iajs-3006	59	16	sequence	sequence	NOUN
iajs-3006	59	17	such	such	ADJ
iajs-3006	59	18	that	that	SCONJ
iajs-3006	59	19	lim	lim	PROPN
iajs-3006	59	20	n→∞	n→∞	PRON
iajs-3006	60	1	𝒩n	𝒩n	PROPN
iajs-3006	60	2	=	=	SYM
iajs-3006	60	3	0	0	NUM
iajs-3006	60	4	,	,	PUNCT
iajs-3006	60	5	then	then	ADV
iajs-3006	60	6	for	for	ADP
iajs-3006	60	7	any	any	DET
iajs-3006	60	8	positive	positive	ADJ
iajs-3006	60	9	r	r	NOUN
iajs-3006	60	10	-	-	PUNCT
iajs-3006	60	11	sequence	sequence	NOUN
iajs-3006	60	12	{	{	PUNCT
iajs-3006	60	13	𝒽n}n	𝒽n}n	NOUN
iajs-3006	60	14	∞=0	∞=0	PROPN
iajs-3006	60	15	satisfying	satisfy	VERB
iajs-3006	60	16	𝒽𝑛+1	𝒽𝑛+1	NOUN
iajs-3006	60	17	≤	≤	PUNCT
iajs-3006	61	1	𝒬𝒽n	𝒬𝒽n	PROPN
iajs-3006	61	2	+	+	CCONJ
iajs-3006	61	3	𝒩n	𝒩n	PROPN
iajs-3006	61	4	,	,	PUNCT
iajs-3006	61	5	n	n	NOUN
iajs-3006	61	6	=	=	SYM
iajs-3006	61	7	0	0	NUM
iajs-3006	61	8	,	,	PUNCT
iajs-3006	61	9	1	1	NUM
iajs-3006	61	10	,	,	PUNCT
iajs-3006	61	11	2	2	NUM
iajs-3006	61	12	,	,	PUNCT
iajs-3006	61	13	.	.	PUNCT
iajs-3006	61	14	.	.	PUNCT
iajs-3006	61	15	.	.	PUNCT
iajs-3006	62	1	⟹	⟹	PROPN
iajs-3006	63	1	lim	lim	PROPN
iajs-3006	63	2	n→∞	n→∞	X
iajs-3006	63	3	𝒽n	𝒽n	PROPN
iajs-3006	63	4	=	=	NOUN
iajs-3006	63	5	0	0	X
iajs-3006	63	6	.	.	PUNCT
iajs-3006	64	1	there	there	PRON
iajs-3006	64	2	are	be	VERB
iajs-3006	64	3	many	many	ADJ
iajs-3006	64	4	studies	study	NOUN
iajs-3006	64	5	on	on	ADP
iajs-3006	64	6	the	the	DET
iajs-3006	64	7	iterations	iteration	NOUN
iajs-3006	64	8	in	in	ADP
iajs-3006	64	9	other	other	ADJ
iajs-3006	64	10	spaces	space	NOUN
iajs-3006	64	11	see[18	see[18	PUNCT
iajs-3006	64	12	-	-	SYM
iajs-3006	64	13	21	21	NUM
iajs-3006	64	14	]	]	PUNCT
iajs-3006	64	15	previous	previous	ADJ
iajs-3006	64	16	results	result	NOUN
iajs-3006	64	17	one	one	NUM
iajs-3006	64	18	of	of	ADP
iajs-3006	64	19	the	the	DET
iajs-3006	64	20	most	most	ADV
iajs-3006	64	21	important	important	ADJ
iajs-3006	64	22	previous	previous	ADJ
iajs-3006	64	23	results	result	NOUN
iajs-3006	64	24	on	on	ADP
iajs-3006	64	25	this	this	DET
iajs-3006	64	26	topic	topic	NOUN
iajs-3006	64	27	theorem	theorem	NOUN
iajs-3006	64	28	:	:	PUNCT
iajs-3006	64	29	in	in	ADP
iajs-3006	64	30	any	any	DET
iajs-3006	64	31	metric	metric	ADJ
iajs-3006	64	32	space	space	NOUN
iajs-3006	64	33	if	if	SCONJ
iajs-3006	64	34	𝒥	𝒥	PRON
iajs-3006	64	35	satify	satify	VERB
iajs-3006	64	36	the	the	DET
iajs-3006	64	37	condition	condition	NOUN
iajs-3006	64	38	𝒹(𝒶	𝒹(𝒶	PROPN
iajs-3006	64	39	,	,	PUNCT
iajs-3006	64	40	𝒥𝒷	𝒥𝒷	NOUN
iajs-3006	64	41	)	)	PUNCT
iajs-3006	64	42	+	+	CCONJ
iajs-3006	64	43	𝒹(𝒷	𝒹(𝒷	PROPN
iajs-3006	64	44	,	,	PUNCT
iajs-3006	64	45	𝒥𝒷	𝒥𝒷	NOUN
iajs-3006	64	46	)	)	PUNCT
iajs-3006	64	47	≤	≤	NOUN
iajs-3006	64	48	𝑞𝒹(𝒶	𝑞𝒹(𝒶	PROPN
iajs-3006	64	49	,	,	PUNCT
iajs-3006	64	50	𝒷	𝒷	X
iajs-3006	64	51	)	)	PUNCT
iajs-3006	64	52	,	,	PUNCT
iajs-3006	64	53	(	(	PUNCT
iajs-3006	64	54	1	1	X
iajs-3006	64	55	)	)	PUNCT
iajs-3006	64	56	for	for	ADP
iajs-3006	64	57	all	all	DET
iajs-3006	64	58	𝒶	𝒶	NOUN
iajs-3006	64	59	,	,	PUNCT
iajs-3006	64	60	𝒷	𝒷	PRON
iajs-3006	64	61	∈	∈	PROPN
iajs-3006	64	62	ℳ	ℳ	PROPN
iajs-3006	64	63	,	,	PUNCT
iajs-3006	64	64	where	where	SCONJ
iajs-3006	64	65	2	2	NUM
iajs-3006	64	66	≤	≤	NOUN
iajs-3006	64	67	q	q	NOUN
iajs-3006	64	68	<	<	X
iajs-3006	64	69	4	4	NUM
iajs-3006	64	70	.	.	PUNCT
iajs-3006	64	71	then,𝒥has	then,𝒥ha	VERB
iajs-3006	64	72	at	at	ADV
iajs-3006	64	73	least	least	ADV
iajs-3006	64	74	one	one	NUM
iajs-3006	64	75	fixed	fix	VERB
iajs-3006	64	76	point	point	NOUN
iajs-3006	64	77	.	.	PUNCT
iajs-3006	65	1	theorem	theorem	VERB
iajs-3006	65	2	:	:	PUNCT
iajs-3006	65	3	let	let	VERB
iajs-3006	65	4	𝒥	𝒥	PRON
iajs-3006	65	5	be	be	AUX
iajs-3006	65	6	a	a	DET
iajs-3006	65	7	mappingsatisfy	mappingsatisfy	NOUN
iajs-3006	65	8	the	the	DET
iajs-3006	65	9	condition	condition	NOUN
iajs-3006	65	10	𝒹(𝒥𝒶	𝒹(𝒥𝒶	NOUN
iajs-3006	65	11	,	,	PUNCT
iajs-3006	65	12	𝒥𝒷	𝒥𝒷	NOUN
iajs-3006	65	13	)	)	PUNCT
iajs-3006	66	1	+	+	CCONJ
iajs-3006	66	2	𝒹(𝒶	𝒹(𝒶	PROPN
iajs-3006	66	3	,	,	PUNCT
iajs-3006	66	4	𝒥𝒷	𝒥𝒷	NOUN
iajs-3006	66	5	)	)	PUNCT
iajs-3006	66	6	+	+	CCONJ
iajs-3006	67	1	𝒹(𝒷	𝒹(𝒷	PROPN
iajs-3006	67	2	,	,	PUNCT
iajs-3006	67	3	𝒥𝒷	𝒥𝒷	NOUN
iajs-3006	67	4	)	)	PUNCT
iajs-3006	67	5	≤	≤	NOUN
iajs-3006	67	6	𝑟𝒹(𝒶	𝑟𝒹(𝒶	PROPN
iajs-3006	67	7	,	,	PUNCT
iajs-3006	67	8	𝒷	𝒷	NOUN
iajs-3006	67	9	)	)	PUNCT
iajs-3006	67	10	∀	∀	X
iajs-3006	67	11	𝒶	𝒶	NOUN
iajs-3006	67	12	,	,	PUNCT
iajs-3006	67	13	𝒷	𝒷	NOUN
iajs-3006	67	14	∈	∈	PROPN
iajs-3006	67	15	ℳ	ℳ	PROPN
iajs-3006	67	16	(	(	PUNCT
iajs-3006	67	17	2	2	NUM
iajs-3006	67	18	)	)	PUNCT
iajs-3006	67	19	then	then	ADV
iajs-3006	67	20	,	,	PUNCT
iajs-3006	67	21	𝒥	𝒥	PRON
iajs-3006	67	22	has	have	VERB
iajs-3006	67	23	at	at	ADV
iajs-3006	67	24	least	least	ADJ
iajs-3006	67	25	one	one	NUM
iajs-3006	67	26	f	f	NOUN
iajs-3006	67	27	-	-	PUNCT
iajs-3006	67	28	point	point	NOUN
iajs-3006	67	29	.	.	PUNCT
iajs-3006	68	1	theorem	theorem	VERB
iajs-3006	68	2	:	:	PUNCT
iajs-3006	68	3	consider	consider	VERB
iajs-3006	68	4	a	a	DET
iajs-3006	68	5	com	com	NOUN
iajs-3006	68	6	con	con	PROPN
iajs-3006	68	7	m	m	PROPN
iajs-3006	68	8	-	-	PUNCT
iajs-3006	68	9	s.	s.	PROPN
iajs-3006	68	10	suppose	suppose	VERB
iajs-3006	68	11	that	that	SCONJ
iajs-3006	68	12	ᶂ	ᶂ	PRON
iajs-3006	68	13	,	,	PUNCT
iajs-3006	68	14	ᶃ	ᶃ	PROPN
iajs-3006	68	15	are	be	AUX
iajs-3006	68	16	mappings	mapping	NOUN
iajs-3006	68	17	of	of	ADP
iajs-3006	68	18	ℳ	ℳ	PROPN
iajs-3006	68	19	,	,	PUNCT
iajs-3006	68	20	and	and	CCONJ
iajs-3006	68	21	there	there	PRON
iajs-3006	68	22	exist	exist	VERB
iajs-3006	68	23	ᶏ	ᶏ	ADP
iajs-3006	68	24	,	,	PUNCT
iajs-3006	68	25	ᶀ	ᶀ	PROPN
iajs-3006	68	26	,	,	PUNCT
iajs-3006	68	27	ḉ	ḉ	PROPN
iajs-3006	68	28	,	,	PUNCT
iajs-3006	68	29	m	m	VERB
iajs-3006	68	30	as	as	ADP
iajs-3006	68	31	:	:	PUNCT
iajs-3006	68	32	2ᶀ	2ᶀ	NUM
iajs-3006	68	33	–	–	PUNCT
iajs-3006	68	34	|ḉ|	|ḉ|	NUM
iajs-3006	68	35	≤	≤	NUM
iajs-3006	68	36	m	m	VERB
iajs-3006	68	37	<	<	X
iajs-3006	68	38	2(ᶏ	2(ᶏ	NUM
iajs-3006	68	39	+	+	CCONJ
iajs-3006	68	40	ᶀ	ᶀ	PROPN
iajs-3006	68	41	+	+	NUM
iajs-3006	68	42	ḉ	ḉ	NOUN
iajs-3006	68	43	)	)	PUNCT
iajs-3006	68	44	–	–	PUNCT
iajs-3006	68	45	|ḉ|	|ḉ|	NOUN
iajs-3006	68	46	,	,	PUNCT
iajs-3006	68	47	ᶏ𝒹(ᶃ(x	ᶏ𝒹(ᶃ(x	NOUN
iajs-3006	68	48	)	)	PUNCT
iajs-3006	68	49	,	,	PUNCT
iajs-3006	68	50	ᶂ	ᶂ	X
iajs-3006	68	51	(	(	PUNCT
iajs-3006	68	52	x	x	NOUN
iajs-3006	68	53	)	)	PUNCT
iajs-3006	68	54	)	)	PUNCT
iajs-3006	69	1	+	+	CCONJ
iajs-3006	69	2	ᶀ𝒹(ᶃ(y	ᶀ𝒹(ᶃ(y	NOUN
iajs-3006	69	3	)	)	PUNCT
iajs-3006	69	4	,	,	PUNCT
iajs-3006	69	5	ᶂ(y	ᶂ(y	ADV
iajs-3006	69	6	)	)	PUNCT
iajs-3006	69	7	)	)	PUNCT
iajs-3006	70	1	+	+	CCONJ
iajs-3006	70	2	ḉ𝒹(ᶂ	ḉ𝒹(ᶂ	NUM
iajs-3006	70	3	(	(	PUNCT
iajs-3006	70	4	x	x	NOUN
iajs-3006	70	5	)	)	PUNCT
iajs-3006	70	6	,	,	PUNCT
iajs-3006	70	7	ᶂ(y	ᶂ(y	ADV
iajs-3006	70	8	)	)	PUNCT
iajs-3006	70	9	)	)	PUNCT
iajs-3006	70	10	≤	≤	NOUN
iajs-3006	70	11	md(ᶃ(x	md(ᶃ(x	X
iajs-3006	70	12	)	)	PUNCT
iajs-3006	70	13	,	,	PUNCT
iajs-3006	70	14	ᶃ(y	ᶃ(y	NOUN
iajs-3006	70	15	)	)	PUNCT
iajs-3006	70	16	)	)	PUNCT
iajs-3006	71	1	then	then	ADV
iajs-3006	71	2	f	f	PROPN
iajs-3006	71	3	has	have	VERB
iajs-3006	71	4	at	at	ADV
iajs-3006	71	5	least	least	ADV
iajs-3006	71	6	one	one	NUM
iajs-3006	71	7	f	f	NOUN
iajs-3006	71	8	-	-	PUNCT
iajs-3006	71	9	point	point	NOUN
iajs-3006	71	10	.	.	PUNCT
iajs-3006	72	1	in	in	ADP
iajs-3006	72	2	appreciably	appreciably	ADV
iajs-3006	72	3	,	,	PUNCT
iajs-3006	72	4	a	a	DET
iajs-3006	72	5	f	f	X
iajs-3006	72	6	-	-	PUNCT
iajs-3006	72	7	point	point	NOUN
iajs-3006	72	8	iteration	iteration	NOUN
iajs-3006	72	9	is	be	AUX
iajs-3006	72	10	useful	useful	ADJ
iajs-3006	72	11	for	for	ADP
iajs-3006	72	12	applications	application	NOUN
iajs-3006	72	13	if	if	SCONJ
iajs-3006	72	14	it	it	PRON
iajs-3006	72	15	satisfies	satisfy	VERB
iajs-3006	72	16	the	the	DET
iajs-3006	72	17	following	follow	VERB
iajs-3006	72	18	requirements	requirement	NOUN
iajs-3006	72	19	:	:	PUNCT
iajs-3006	72	20	(	(	PUNCT
iajs-3006	72	21	a	a	X
iajs-3006	72	22	)	)	PUNCT
iajs-3006	72	23	study	study	NOUN
iajs-3006	72	24	data	datum	NOUN
iajs-3006	72	25	dependence	dependence	NOUN
iajs-3006	72	26	results	result	NOUN
iajs-3006	72	27	.	.	PUNCT
iajs-3006	73	1	(	(	PUNCT
iajs-3006	73	2	b	b	X
iajs-3006	73	3	)	)	PUNCT
iajs-3006	73	4	it	it	PRON
iajs-3006	73	5	converges	converge	VERB
iajs-3006	73	6	to	to	PART
iajs-3006	73	7	fpoint	fpoint	VERB
iajs-3006	73	8	.	.	PUNCT
iajs-3006	74	1	(	(	PUNCT
iajs-3006	74	2	c	c	X
iajs-3006	74	3	)	)	PUNCT
iajs-3006	74	4	it	it	PRON
iajs-3006	74	5	is	be	AUX
iajs-3006	74	6	𝔍	𝔍	PROPN
iajs-3006	74	7	-stable	-stable	ADJ
iajs-3006	74	8	.	.	PUNCT
iajs-3006	75	1	ihjpas	ihjpas	PROPN
iajs-3006	75	2	.	.	PUNCT
iajs-3006	76	1	36	36	NUM
iajs-3006	76	2	(	(	PUNCT
iajs-3006	76	3	3	3	NUM
iajs-3006	76	4	)	)	PUNCT
iajs-3006	76	5	2023	2023	NUM
iajs-3006	76	6	287	287	NUM
iajs-3006	76	7	theorem	theorem	NOUN
iajs-3006	76	8	:	:	PUNCT
iajs-3006	76	9	consider	consider	VERB
iajs-3006	76	10	each	each	PRON
iajs-3006	76	11	of	of	ADP
iajs-3006	76	12	proximal	proximal	ADJ
iajs-3006	76	13	processes	process	NOUN
iajs-3006	76	14	noor	noor	PROPN
iajs-3006	76	15	,	,	PUNCT
iajs-3006	76	16	karhan	karhan	PROPN
iajs-3006	76	17	and	and	CCONJ
iajs-3006	76	18	modifiedsp.scheme	modifiedsp.scheme	NUM
iajs-3006	76	19	converge	converge	VERB
iajs-3006	76	20	to	to	ADP
iajs-3006	76	21	𝒷	𝒷	PROPN
iajs-3006	76	22	∈	∈	PROPN
iajs-3006	76	23	𝔍	𝔍	PROPN
iajs-3006	76	24	where	where	SCONJ
iajs-3006	76	25	𝔍	𝔍	PROPN
iajs-3006	76	26	contraction	contraction	VERB
iajs-3006	76	27	map.then	map.then	ADV
iajs-3006	76	28	the	the	DET
iajs-3006	76	29	modifiedsp.iteration	modifiedsp.iteration	NOUN
iajs-3006	76	30	converges	converge	VERB
iajs-3006	76	31	faster	fast	ADV
iajs-3006	76	32	than	than	ADP
iajs-3006	76	33	noor	noor	PROPN
iajs-3006	76	34	and	and	CCONJ
iajs-3006	76	35	karhan	karhan	PROPN
iajs-3006	76	36	scheme	scheme	NOUN
iajs-3006	76	37	.	.	PUNCT
iajs-3006	77	1	theorem	theorem	VERB
iajs-3006	77	2	:	:	PUNCT
iajs-3006	77	3	consider	consider	VERB
iajs-3006	77	4	each	each	PRON
iajs-3006	77	5	of	of	ADP
iajs-3006	77	6	proximal	proximal	ADJ
iajs-3006	77	7	processes	process	NOUN
iajs-3006	77	8	mann	mann	PROPN
iajs-3006	77	9	,	,	PUNCT
iajs-3006	77	10	ishikawa	ishikawa	PROPN
iajs-3006	77	11	and	and	CCONJ
iajs-3006	77	12	modified	modify	VERB
iajs-3006	77	13	𝑆𝑃-scheme	𝑆𝑃-scheme	PROPN
iajs-3006	77	14	converge	converge	NOUN
iajs-3006	77	15	to	to	ADP
iajs-3006	77	16	𝒷	𝒷	PROPN
iajs-3006	77	17	∈	∈	PROPN
iajs-3006	77	18	𝔍	𝔍	PROPN
iajs-3006	77	19	where	where	SCONJ
iajs-3006	77	20	𝔍	𝔍	PROPN
iajs-3006	77	21	contraction	contraction	VERB
iajs-3006	77	22	map.then	map.then	ADV
iajs-3006	77	23	the	the	DET
iajs-3006	77	24	modifiedsp.iteration	modifiedsp.iteration	NOUN
iajs-3006	77	25	converges	converge	VERB
iajs-3006	77	26	faster	fast	ADV
iajs-3006	77	27	than	than	ADP
iajs-3006	77	28	mann	mann	PROPN
iajs-3006	77	29	,	,	PUNCT
iajs-3006	77	30	ishikawa	ishikawa	PROPN
iajs-3006	77	31	scheme	scheme	NOUN
iajs-3006	77	32	.	.	PUNCT
iajs-3006	78	1	theorem	theorem	VERB
iajs-3006	78	2	:	:	PUNCT
iajs-3006	78	3	in	in	ADP
iajs-3006	78	4	a	a	DET
iajs-3006	78	5	com	com	NOUN
iajs-3006	78	6	con	con	PROPN
iajs-3006	78	7	m	m	PROPN
iajs-3006	78	8	-	-	PUNCT
iajs-3006	78	9	s	s	PRON
iajs-3006	78	10	consider	consider	VERB
iajs-3006	78	11	the	the	DET
iajs-3006	78	12	mann	mann	PROPN
iajs-3006	78	13	proximal	proximal	NOUN
iajs-3006	78	14	processes	process	NOUN
iajs-3006	78	15	,	,	PUNCT
iajs-3006	78	16	converge	converge	VERB
iajs-3006	78	17	to	to	ADP
iajs-3006	78	18	𝒷	𝒷	PROPN
iajs-3006	78	19	∈	∈	PROPN
iajs-3006	78	20	𝔍	𝔍	PROPN
iajs-3006	78	21	where	where	SCONJ
iajs-3006	78	22	𝔍	𝔍	PROPN
iajs-3006	78	23	contraction	contraction	VERB
iajs-3006	78	24	map.then	map.then	ADV
iajs-3006	78	25	the	the	DET
iajs-3006	78	26	mann	mann	PROPN
iajs-3006	78	27	scheme	scheme	NOUN
iajs-3006	78	28	is	be	AUX
iajs-3006	78	29	t	t	PROPN
iajs-3006	78	30	stable	stable	ADJ
iajs-3006	78	31	scheme	scheme	NOUN
iajs-3006	78	32	.	.	PUNCT
iajs-3006	79	1	theorem	theorem	VERB
iajs-3006	79	2	:	:	PUNCT
iajs-3006	79	3	in	in	ADP
iajs-3006	79	4	a	a	DET
iajs-3006	79	5	com	com	NOUN
iajs-3006	79	6	con	con	PROPN
iajs-3006	79	7	m	m	PROPN
iajs-3006	79	8	-	-	PUNCT
iajs-3006	79	9	s	s	PRON
iajs-3006	79	10	consider	consider	VERB
iajs-3006	79	11	the	the	DET
iajs-3006	79	12	ishikawa	ishikawa	PROPN
iajs-3006	79	13	proximal	proximal	NOUN
iajs-3006	79	14	processes	process	NOUN
iajs-3006	79	15	,	,	PUNCT
iajs-3006	79	16	converge	converge	VERB
iajs-3006	79	17	to	to	ADP
iajs-3006	79	18	𝒷	𝒷	PROPN
iajs-3006	79	19	∈	∈	PROPN
iajs-3006	79	20	𝔍	𝔍	PROPN
iajs-3006	79	21	where	where	SCONJ
iajs-3006	79	22	𝔍	𝔍	PROPN
iajs-3006	79	23	contraction	contraction	VERB
iajs-3006	79	24	map.then	map.then	ADV
iajs-3006	79	25	the	the	DET
iajs-3006	79	26	ishikawa	ishikawa	PROPN
iajs-3006	79	27	scheme	scheme	NOUN
iajs-3006	79	28	is	be	AUX
iajs-3006	79	29	t	t	PROPN
iajs-3006	79	30	stable	stable	ADJ
iajs-3006	79	31	scheme	scheme	NOUN
iajs-3006	79	32	theorem	theorem	NOUN
iajs-3006	79	33	:	:	PUNCT
iajs-3006	79	34	in	in	ADP
iajs-3006	79	35	a	a	DET
iajs-3006	79	36	h	h	NOUN
iajs-3006	79	37	-	-	PUNCT
iajs-3006	79	38	s	s	PRON
iajs-3006	79	39	consider	consider	VERB
iajs-3006	79	40	the	the	DET
iajs-3006	79	41	ishikawa	ishikawa	PROPN
iajs-3006	79	42	and	and	CCONJ
iajs-3006	79	43	mann	mann	PROPN
iajs-3006	79	44	proximal	proximal	NOUN
iajs-3006	79	45	processes	process	NOUN
iajs-3006	79	46	such	such	ADJ
iajs-3006	79	47	that	that	PRON
iajs-3006	79	48	converge	converge	VERB
iajs-3006	79	49	it	it	PRON
iajs-3006	79	50	to	to	ADP
iajs-3006	79	51	𝒷	𝒷	PROPN
iajs-3006	79	52	∈	∈	PROPN
iajs-3006	79	53	𝔍	𝔍	PROPN
iajs-3006	79	54	where	where	SCONJ
iajs-3006	79	55	𝔍	𝔍	PROPN
iajs-3006	79	56	quasi	quasi	PROPN
iajs-3006	79	57	δ	δ	PROPN
iajs-3006	79	58	-contraction	-contraction	PROPN
iajs-3006	79	59	map.then	map.then	ADV
iajs-3006	79	60	the	the	DET
iajs-3006	79	61	ishikawa	ishikawa	PROPN
iajs-3006	79	62	scheme	scheme	NOUN
iajs-3006	79	63	⇢	⇢	NOUN
iajs-3006	79	64	𝒶	𝒶	PROPN
iajs-3006	79	65	iff	iff	PROPN
iajs-3006	79	66	mann	mann	PROPN
iajs-3006	79	67	scheme	scheme	PROPN
iajs-3006	79	68	⟶	⟶	NOUN
iajs-3006	79	69	𝒶.	𝒶.	NOUN
iajs-3006	79	70	theorem	theorem	VERB
iajs-3006	79	71	:	:	PUNCT
iajs-3006	79	72	in	in	ADP
iajs-3006	79	73	a	a	DET
iajs-3006	79	74	h	h	NOUN
iajs-3006	79	75	-	-	PUNCT
iajs-3006	79	76	s	s	PRON
iajs-3006	79	77	consider	consider	VERB
iajs-3006	79	78	the	the	DET
iajs-3006	79	79	ishikawa	ishikawa	PROPN
iajs-3006	79	80	and	and	CCONJ
iajs-3006	79	81	modified𝒮𝒫.proximal	modified𝒮𝒫.proximal	ADJ
iajs-3006	79	82	processes	process	NOUN
iajs-3006	79	83	such	such	ADJ
iajs-3006	79	84	that	that	PRON
iajs-3006	79	85	converge	converge	VERB
iajs-3006	79	86	it	it	PRON
iajs-3006	79	87	to	to	ADP
iajs-3006	79	88	𝒷	𝒷	PROPN
iajs-3006	79	89	∈	∈	PROPN
iajs-3006	79	90	𝔍	𝔍	PROPN
iajs-3006	79	91	where	where	SCONJ
iajs-3006	79	92	𝔍	𝔍	PROPN
iajs-3006	79	93	quasi	quasi	PROPN
iajs-3006	79	94	δ	δ	PROPN
iajs-3006	79	95	-contraction	-contraction	PROPN
iajs-3006	79	96	map.then	map.then	NOUN
iajs-3006	79	97	modified𝒮𝒫.	modified𝒮𝒫.	PROPN
iajs-3006	79	98	iteration	iteration	NOUN
iajs-3006	79	99	scheme⟶	scheme⟶	NOUN
iajs-3006	79	100	𝒶	𝒶	PROPN
iajs-3006	79	101	iff	iff	PROPN
iajs-3006	79	102	mann	mann	PROPN
iajs-3006	79	103	scheme	scheme	PROPN
iajs-3006	79	104	⇢	⇢	NOUN
iajs-3006	79	105	𝒶.	𝒶.	NOUN
iajs-3006	79	106	theorem	theorem	VERB
iajs-3006	79	107	:	:	PUNCT
iajs-3006	79	108	in	in	ADP
iajs-3006	79	109	a	a	DET
iajs-3006	79	110	h	h	NOUN
iajs-3006	79	111	-	-	PUNCT
iajs-3006	79	112	s	s	PRON
iajs-3006	79	113	consider	consider	VERB
iajs-3006	79	114	the	the	DET
iajs-3006	79	115	cr	cr	PROPN
iajs-3006	79	116	and	and	CCONJ
iajs-3006	79	117	mann	mann	PROPN
iajs-3006	79	118	proximal	proximal	NOUN
iajs-3006	79	119	processes	process	NOUN
iajs-3006	79	120	such	such	ADJ
iajs-3006	79	121	that	that	PRON
iajs-3006	79	122	converge	converge	VERB
iajs-3006	79	123	it	it	PRON
iajs-3006	79	124	to	to	ADP
iajs-3006	79	125	𝒷	𝒷	PROPN
iajs-3006	79	126	∈	∈	PROPN
iajs-3006	79	127	𝔍	𝔍	PROPN
iajs-3006	79	128	where	where	SCONJ
iajs-3006	79	129	𝔍	𝔍	PROPN
iajs-3006	79	130	quasi	quasi	PROPN
iajs-3006	79	131	δ	δ	PROPN
iajs-3006	79	132	-contraction	-contraction	PROPN
iajs-3006	79	133	map.then	map.then	VERB
iajs-3006	79	134	the	the	DET
iajs-3006	79	135	cr	cr	PROPN
iajs-3006	79	136	a	a	DET
iajs-3006	79	137	scheme	scheme	NOUN
iajs-3006	79	138	⇢	⇢	NOUN
iajs-3006	79	139	𝒶	𝒶	PROPN
iajs-3006	79	140	iff	iff	PROPN
iajs-3006	79	141	mann	mann	PROPN
iajs-3006	79	142	scheme	scheme	PROPN
iajs-3006	79	143	⇢	⇢	NOUN
iajs-3006	79	144	𝒶.	𝒶.	NOUN
iajs-3006	79	145	theorem	theorem	VERB
iajs-3006	79	146	:	:	PUNCT
iajs-3006	79	147	in	in	ADP
iajs-3006	79	148	a	a	DET
iajs-3006	79	149	h	h	NOUN
iajs-3006	79	150	-	-	PUNCT
iajs-3006	79	151	s	s	PRON
iajs-3006	79	152	consider	consider	VERB
iajs-3006	79	153	the	the	DET
iajs-3006	79	154	noor	noor	PROPN
iajs-3006	79	155	and	and	CCONJ
iajs-3006	79	156	mann	mann	PROPN
iajs-3006	79	157	proximal	proximal	NOUN
iajs-3006	79	158	processes	process	NOUN
iajs-3006	79	159	such	such	ADJ
iajs-3006	79	160	that	that	PRON
iajs-3006	79	161	converge	converge	VERB
iajs-3006	79	162	it	it	PRON
iajs-3006	79	163	to	to	ADP
iajs-3006	79	164	𝒷	𝒷	PROPN
iajs-3006	79	165	∈	∈	PROPN
iajs-3006	79	166	𝔍	𝔍	PROPN
iajs-3006	79	167	where	where	SCONJ
iajs-3006	79	168	𝔍	𝔍	PROPN
iajs-3006	79	169	quasi	quasi	PROPN
iajs-3006	79	170	δ	δ	PROPN
iajs-3006	79	171	-contraction	-contraction	PROPN
iajs-3006	79	172	map.then	map.then	NOUN
iajs-3006	79	173	the	the	DET
iajs-3006	79	174	noor	noor	PROPN
iajs-3006	79	175	a	a	DET
iajs-3006	79	176	scheme⟶	scheme⟶	NOUN
iajs-3006	79	177	𝒶	𝒶	PROPN
iajs-3006	79	178	iff	iff	PROPN
iajs-3006	79	179	mann	mann	PROPN
iajs-3006	79	180	scheme⟶	scheme⟶	PROPN
iajs-3006	79	181	𝒶.	𝒶.	NOUN
iajs-3006	79	182	conclusion	conclusion	NOUN
iajs-3006	79	183	a	a	DET
iajs-3006	79	184	generalized	generalized	ADJ
iajs-3006	79	185	review	review	NOUN
iajs-3006	79	186	of	of	ADP
iajs-3006	79	187	contractionary	contractionary	ADJ
iajs-3006	79	188	mapping	mapping	NOUN
iajs-3006	79	189	and	and	CCONJ
iajs-3006	79	190	non	non	ADJ
iajs-3006	79	191	-	-	ADJ
iajs-3006	79	192	expansion	expansion	ADJ
iajs-3006	79	193	maps	map	NOUN
iajs-3006	79	194	has	have	AUX
iajs-3006	79	195	been	be	AUX
iajs-3006	79	196	reviewed	review	VERB
iajs-3006	79	197	and	and	CCONJ
iajs-3006	79	198	some	some	DET
iajs-3006	79	199	theories	theory	NOUN
iajs-3006	79	200	are	be	AUX
iajs-3006	79	201	recalled	recall	VERB
iajs-3006	79	202	about	about	ADP
iajs-3006	79	203	the	the	DET
iajs-3006	79	204	existence	existence	NOUN
iajs-3006	79	205	and	and	CCONJ
iajs-3006	79	206	uniqueness	uniqueness	NOUN
iajs-3006	79	207	of	of	ADP
iajs-3006	79	208	the	the	DET
iajs-3006	79	209	common	common	ADJ
iajs-3006	79	210	fixed	fix	VERB
iajs-3006	79	211	point	point	NOUN
iajs-3006	79	212	and	and	CCONJ
iajs-3006	79	213	congruent	congruent	ADJ
iajs-3006	79	214	fixed	fix	VERB
iajs-3006	79	215	point	point	NOUN
iajs-3006	79	216	of	of	ADP
iajs-3006	79	217	such	such	ADJ
iajs-3006	79	218	maps	map	NOUN
iajs-3006	79	219	under	under	ADP
iajs-3006	79	220	some	some	DET
iajs-3006	79	221	conditions	condition	NOUN
iajs-3006	79	222	.	.	PUNCT
iajs-3006	80	1	moreover	moreover	ADV
iajs-3006	80	2	,	,	PUNCT
iajs-3006	80	3	we	we	PRON
iajs-3006	80	4	also	also	ADV
iajs-3006	80	5	inferred	infer	VERB
iajs-3006	80	6	the	the	DET
iajs-3006	80	7	convergence	convergence	NOUN
iajs-3006	80	8	and	and	CCONJ
iajs-3006	80	9	acceleration	acceleration	NOUN
iajs-3006	80	10	range	range	NOUN
iajs-3006	80	11	of	of	ADP
iajs-3006	80	12	some	some	DET
iajs-3006	80	13	schemes	scheme	NOUN
iajs-3006	80	14	of	of	ADP
iajs-3006	80	15	different	different	ADJ
iajs-3006	80	16	types	type	NOUN
iajs-3006	80	17	such	such	ADJ
iajs-3006	80	18	as	as	ADP
iajs-3006	80	19	one	one	NUM
iajs-3006	80	20	-	-	PUNCT
iajs-3006	80	21	step	step	NOUN
iajs-3006	80	22	schemes	scheme	NOUN
iajs-3006	80	23	,	,	PUNCT
iajs-3006	80	24	two	two	NUM
iajs-3006	80	25	-	-	PUNCT
iajs-3006	80	26	step	step	NOUN
iajs-3006	80	27	schemes	scheme	NOUN
iajs-3006	80	28	,	,	PUNCT
iajs-3006	80	29	and	and	CCONJ
iajs-3006	80	30	three	three	NUM
iajs-3006	80	31	-	-	PUNCT
iajs-3006	80	32	step	step	NOUN
iajs-3006	80	33	schemes	scheme	NOUN
iajs-3006	80	34	in	in	ADP
iajs-3006	80	35	convex	convex	ADJ
iajs-3006	80	36	metric	metric	ADJ
iajs-3006	80	37	space	space	NOUN
iajs-3006	80	38	.	.	PUNCT
iajs-3006	81	1	references	reference	NOUN
iajs-3006	81	2	1	1	NUM
iajs-3006	81	3	.	.	PUNCT
iajs-3006	81	4	w.	w.	PROPN
iajs-3006	81	5	mann	mann	PROPN
iajs-3006	81	6	,	,	PUNCT
iajs-3006	81	7	"	"	PUNCT
iajs-3006	81	8	mean	mean	ADJ
iajs-3006	81	9	value	value	NOUN
iajs-3006	81	10	methods	method	NOUN
iajs-3006	81	11	in	in	ADP
iajs-3006	81	12	iteration	iteration	NOUN
iajs-3006	81	13	,	,	PUNCT
iajs-3006	81	14	"	"	PUNCT
iajs-3006	81	15	proc	proc	NOUN
iajs-3006	81	16	.	.	PUNCT
iajs-3006	82	1	am	be	AUX
iajs-3006	82	2	.	.	PUNCT
iajs-3006	83	1	math	math	NOUN
iajs-3006	83	2	.	.	PUNCT
iajs-3006	84	1	soc,1953	soc,1953	PROPN
iajs-3006	84	2	,	,	PUNCT
iajs-3006	84	3	4	4	NUM
iajs-3006	84	4	,	,	PUNCT
iajs-3006	84	5	506–510	506–510	NUM
iajs-3006	84	6	.	.	NOUN
iajs-3006	85	1	2	2	NUM
iajs-3006	85	2	.	.	PUNCT
iajs-3006	85	3	s.	s.	PROPN
iajs-3006	85	4	ishikawa	ishikawa	PROPN
iajs-3006	85	5	,	,	PUNCT
iajs-3006	85	6	"	"	PUNCT
iajs-3006	85	7	fixed	fix	VERB
iajs-3006	85	8	points	point	NOUN
iajs-3006	85	9	by	by	ADP
iajs-3006	85	10	a	a	DET
iajs-3006	85	11	new	new	ADJ
iajs-3006	85	12	iteration	iteration	NOUN
iajs-3006	85	13	method	method	NOUN
iajs-3006	85	14	,	,	PUNCT
iajs-3006	85	15	"	"	PUNCT
iajs-3006	85	16	.	.	PUNCT
iajs-3006	86	1	proc	proc	PROPN
iajs-3006	86	2	.	.	PUNCT
iajs-3006	87	1	am	be	AUX
iajs-3006	87	2	.	.	PUNCT
iajs-3006	88	1	math	math	NOUN
iajs-3006	88	2	.	.	PUNCT
iajs-3006	89	1	soc	soc	PROPN
iajs-3006	89	2	,	,	PUNCT
iajs-3006	89	3	1974	1974	NUM
iajs-3006	89	4	,	,	PUNCT
iajs-3006	89	5	44	44	NUM
iajs-3006	89	6	,	,	PUNCT
iajs-3006	89	7	147	147	NUM
iajs-3006	89	8	–	–	SYM
iajs-3006	89	9	150	150	NUM
iajs-3006	89	10	.	.	X
iajs-3006	90	1	3	3	X
iajs-3006	90	2	.	.	X
iajs-3006	90	3	m.	m.	NOUN
iajs-3006	90	4	noor	noor	PROPN
iajs-3006	90	5	,	,	PUNCT
iajs-3006	90	6	"	"	PUNCT
iajs-3006	90	7	new	new	ADJ
iajs-3006	90	8	approximation	approximation	NOUN
iajs-3006	90	9	schemes	scheme	NOUN
iajs-3006	90	10	for	for	ADP
iajs-3006	90	11	general	general	ADJ
iajs-3006	90	12	variational	variational	ADJ
iajs-3006	90	13	inequalities	inequality	NOUN
iajs-3006	90	14	,	,	PUNCT
iajs-3006	90	15	"	"	PUNCT
iajs-3006	90	16	.	.	PUNCT
iajs-3006	91	1	j.	j.	PROPN
iajs-3006	91	2	math	math	PROPN
iajs-3006	91	3	.	.	PUNCT
iajs-3006	92	1	anal	anal	PROPN
iajs-3006	92	2	.	.	PUNCT
iajs-3006	93	1	appl,2000	appl,2000	NOUN
iajs-3006	93	2	,	,	PUNCT
iajs-3006	93	3	217–229	217–229	NUM
iajs-3006	93	4	.	.	NOUN
iajs-3006	93	5	4	4	NUM
iajs-3006	93	6	.	.	X
iajs-3006	93	7	d.	d.	PROPN
iajs-3006	93	8	agrawal	agrawal	PROPN
iajs-3006	93	9	,	,	PUNCT
iajs-3006	93	10	"	"	PUNCT
iajs-3006	93	11	iterative	iterative	ADJ
iajs-3006	93	12	construction	construction	NOUN
iajs-3006	93	13	of	of	ADP
iajs-3006	93	14	fixed	fix	VERB
iajs-3006	93	15	points	point	NOUN
iajs-3006	93	16	of	of	ADP
iajs-3006	93	17	nearly	nearly	ADV
iajs-3006	93	18	asymptotically	asymptotically	ADV
iajs-3006	93	19	,	,	PUNCT
iajs-3006	93	20	"	"	PUNCT
iajs-3006	93	21	.	.	PUNCT
iajs-3006	94	1	j.	j.	PROPN
iajs-3006	94	2	nonlinear	nonlinear	PROPN
iajs-3006	94	3	convex	convex	PROPN
iajs-3006	94	4	anal	anal	NOUN
iajs-3006	94	5	,	,	PUNCT
iajs-3006	94	6	2007,8	2007,8	NUM
iajs-3006	94	7	,	,	PUNCT
iajs-3006	94	8	61–79	61–79	ADV
iajs-3006	94	9	.	.	PUNCT
iajs-3006	95	1	5	5	X
iajs-3006	95	2	.	.	PUNCT
iajs-3006	95	3	o.	o.	PROPN
iajs-3006	95	4	popescu	popescu	PROPN
iajs-3006	95	5	,	,	PUNCT
iajs-3006	95	6	"	"	PUNCT
iajs-3006	95	7	picard	picard	NOUN
iajs-3006	95	8	iteration	iteration	NOUN
iajs-3006	95	9	converges	converge	VERB
iajs-3006	95	10	faster	fast	ADV
iajs-3006	95	11	than	than	ADP
iajs-3006	95	12	mann	mann	PROPN
iajs-3006	95	13	iteration	iteration	NOUN
iajs-3006	95	14	for	for	ADP
iajs-3006	95	15	a	a	DET
iajs-3006	95	16	class	class	NOUN
iajs-3006	95	17	of	of	ADP
iajs-3006	95	18	quasicontractive	quasicontractive	ADJ
iajs-3006	95	19	operators	operator	NOUN
iajs-3006	95	20	"	"	PUNCT
iajs-3006	95	21	,	,	PUNCT
iajs-3006	95	22	mathematical	mathematical	ADJ
iajs-3006	95	23	communications	communication	NOUN
iajs-3006	95	24	,	,	PUNCT
iajs-3006	95	25	2007	2007	NUM
iajs-3006	95	26	,	,	PUNCT
iajs-3006	95	27	12	12	NUM
iajs-3006	95	28	,	,	PUNCT
iajs-3006	95	29	195	195	NUM
iajs-3006	95	30	-	-	SYM
iajs-3006	95	31	202	202	NUM
iajs-3006	95	32	.	.	PUNCT
iajs-3006	96	1	ihjpas	ihjpas	PROPN
iajs-3006	96	2	.	.	PUNCT
iajs-3006	97	1	36	36	NUM
iajs-3006	97	2	(	(	PUNCT
iajs-3006	97	3	3	3	NUM
iajs-3006	97	4	)	)	PUNCT
iajs-3006	97	5	2023	2023	NUM
iajs-3006	97	6	288	288	NUM
iajs-3006	97	7	6	6	NUM
iajs-3006	97	8	.	.	PUNCT
iajs-3006	97	9	r	r	NOUN
iajs-3006	97	10	.change	.change	NOUN
iajs-3006	97	11	,	,	PUNCT
iajs-3006	97	12	v.	v.	PROPN
iajs-3006	97	13	kumar	kumar	PROPN
iajs-3006	97	14	,	,	PUNCT
iajs-3006	97	15	and	and	CCONJ
iajs-3006	97	16	s.	s.	PROPN
iajs-3006	97	17	kumar	kumar	PROPN
iajs-3006	97	18	.	.	PROPN
iajs-3006	98	1	"strong	"strong	PROPN
iajs-3006	98	2	convergence	convergence	NOUN
iajs-3006	98	3	of	of	ADP
iajs-3006	98	4	a	a	DET
iajs-3006	98	5	new	new	ADJ
iajs-3006	98	6	three	three	NUM
iajs-3006	98	7	step	step	NOUN
iajs-3006	98	8	iterative	iterative	NOUN
iajs-3006	98	9	scheme	scheme	NOUN
iajs-3006	98	10	in	in	ADP
iajs-3006	98	11	banach	banach	NOUN
iajs-3006	98	12	spaces	space	NOUN
iajs-3006	98	13	"	"	PUNCT
iajs-3006	98	14	,	,	PUNCT
iajs-3006	98	15	american	american	ADJ
iajs-3006	98	16	journal	journal	PROPN
iajs-3006	98	17	of	of	ADP
iajs-3006	98	18	computational	computational	ADJ
iajs-3006	98	19	mathematics	mathematic	NOUN
iajs-3006	98	20	,	,	PUNCT
iajs-3006	98	21	2012	2012	NUM
iajs-3006	98	22	,	,	PUNCT
iajs-3006	98	23	2	2	NUM
iajs-3006	98	24	,	,	PUNCT
iajs-3006	98	25	345357	345357	NUM
iajs-3006	98	26	,	,	PUNCT
iajs-3006	98	27	(	(	PUNCT
iajs-3006	98	28	)	)	PUNCT
iajs-3006	98	29	.	.	PUNCT
iajs-3006	99	1	7	7	X
iajs-3006	99	2	.	.	X
iajs-3006	99	3	n.	n.	PROPN
iajs-3006	99	4	kadioglu	kadioglu	PROPN
iajs-3006	99	5	,	,	PUNCT
iajs-3006	99	6	and	and	CCONJ
iajs-3006	99	7	i.	i.	PROPN
iajs-3006	99	8	yildirim	yildirim	PROPN
iajs-3006	99	9	,	,	PUNCT
iajs-3006	99	10	"	"	PUNCT
iajs-3006	99	11	approximation	approximation	NOUN
iajs-3006	99	12	fixed	fix	VERB
iajs-3006	99	13	points	point	NOUN
iajs-3006	99	14	of	of	ADP
iajs-3006	99	15	nonexpansive	nonexpansive	ADJ
iajs-3006	99	16	mapping	mapping	NOUN
iajs-3006	99	17	by	by	ADP
iajs-3006	99	18	a	a	DET
iajs-3006	99	19	faster	fast	ADJ
iajs-3006	99	20	iteration	iteration	NOUN
iajs-3006	99	21	process	process	NOUN
iajs-3006	99	22	"	"	PUNCT
iajs-3006	99	23	.	.	PUNCT
iajs-3006	100	1	http://	http://	PROPN
iajs-3006	100	2	arxiv.org/abs/1402	arxiv.org/abs/1402	PROPN
iajs-3006	100	3	,	,	PUNCT
iajs-3006	100	4	2014	2014	NUM
iajs-3006	100	5	.	.	PUNCT
iajs-3006	101	1	8	8	NUM
iajs-3006	101	2	.	.	X
iajs-3006	101	3	r.	r.	PROPN
iajs-3006	101	4	agarwal	agarwal	PROPN
iajs-3006	101	5	,	,	PUNCT
iajs-3006	101	6	,	,	PUNCT
iajs-3006	101	7	d.	d.	PROPN
iajs-3006	101	8	oregan	oregan	PROPN
iajs-3006	101	9	and	and	CCONJ
iajs-3006	101	10	r.	r.	PROPN
iajs-3006	101	11	sahu	sahu	PROPN
iajs-3006	101	12	,	,	PUNCT
iajs-3006	101	13	"	"	PUNCT
iajs-3006	101	14	fixed	fixed	ADJ
iajs-3006	101	15	point	point	NOUN
iajs-3006	101	16	theory	theory	NOUN
iajs-3006	101	17	for	for	ADP
iajs-3006	101	18	lipschitzian	lipschitzian	ADJ
iajs-3006	101	19	-	-	PUNCT
iajs-3006	101	20	type	type	NOUN
iajs-3006	101	21	mappings	mapping	NOUN
iajs-3006	101	22	with	with	ADP
iajs-3006	101	23	applications	application	NOUN
iajs-3006	101	24	"	"	PUNCT
iajs-3006	101	25	.	.	PUNCT
iajs-3006	102	1	springer	springer	PROPN
iajs-3006	102	2	,	,	PUNCT
iajs-3006	102	3	heidelberg	heidelberg	PROPN
iajs-3006	102	4	,	,	PUNCT
iajs-3006	102	5	2009	2009	NUM
iajs-3006	102	6	.	.	PUNCT
iajs-3006	103	1	9	9	X
iajs-3006	103	2	.	.	X
iajs-3006	103	3	m.	m.	NOUN
iajs-3006	103	4	moosaei	moosaei	NOUN
iajs-3006	103	5	,	,	PUNCT
iajs-3006	103	6	"	"	PUNCT
iajs-3006	103	7	fixed	fixed	ADJ
iajs-3006	103	8	point	point	NOUN
iajs-3006	103	9	theorems	theorem	NOUN
iajs-3006	103	10	in	in	ADP
iajs-3006	103	11	convex	convex	ADJ
iajs-3006	103	12	metric	metric	ADJ
iajs-3006	103	13	spaces	space	NOUN
iajs-3006	103	14	,	,	PUNCT
iajs-3006	103	15	”	"	PUNCT
iajs-3006	103	16	fixed	fix	VERB
iajs-3006	103	17	point	point	NOUN
iajs-3006	103	18	theory	theory	NOUN
iajs-3006	103	19	and	and	CCONJ
iajs-3006	103	20	applications	application	NOUN
iajs-3006	103	21	"	"	PUNCT
iajs-3006	103	22	,	,	PUNCT
iajs-3006	103	23	springer	springer	NOUN
iajs-3006	103	24	open	open	ADJ
iajs-3006	103	25	journal	journal	PROPN
iajs-3006	103	26	,	,	PUNCT
iajs-3006	103	27	2012	2012	NUM
iajs-3006	103	28	,	,	PUNCT
iajs-3006	103	29	164,1	164,1	NUM
iajs-3006	103	30	-	-	SYM
iajs-3006	103	31	6	6	NUM
iajs-3006	103	32	.	.	PUNCT
iajs-3006	103	33	10	10	NUM
iajs-3006	103	34	.	.	PUNCT
iajs-3006	104	1	c.	c.	PROPN
iajs-3006	104	2	chidume	chidume	PROPN
iajs-3006	104	3	,	,	PUNCT
iajs-3006	104	4	,	,	PUNCT
iajs-3006	104	5	m.osilike	m.osilike	ADP
iajs-3006	104	6	,	,	PUNCT
iajs-3006	104	7	"	"	PUNCT
iajs-3006	104	8	fixed	fix	VERB
iajs-3006	104	9	point	point	NOUN
iajs-3006	104	10	iterations	iteration	NOUN
iajs-3006	104	11	for	for	ADP
iajs-3006	104	12	strictly	strictly	ADV
iajs-3006	104	13	hemicontractive	hemicontractive	ADJ
iajs-3006	104	14	maps	map	NOUN
iajs-3006	104	15	in	in	ADP
iajs-3006	104	16	uniformly	uniformly	ADV
iajs-3006	104	17	smooth	smooth	ADJ
iajs-3006	104	18	banach	banach	NOUN
iajs-3006	104	19	spaces	space	NOUN
iajs-3006	104	20	.	.	PUNCT
iajs-3006	105	1	numer	numer	PROPN
iajs-3006	105	2	.	.	PUNCT
iajs-3006	106	1	funct	funct	PROPN
iajs-3006	106	2	.	.	PUNCT
iajs-3006	107	1	anal	anal	PROPN
iajs-3006	107	2	.	.	PUNCT
iajs-3006	108	1	optim	optim	PROPN
iajs-3006	108	2	.	.	PROPN
iajs-3006	109	1	1994	1994	NUM
iajs-3006	109	2	,	,	PUNCT
iajs-3006	109	3	15	15	NUM
iajs-3006	109	4	,	,	PUNCT
iajs-3006	109	5	779	779	NUM
iajs-3006	109	6	-	-	SYM
iajs-3006	109	7	790	790	NUM
iajs-3006	109	8	.	.	PUNCT
iajs-3006	110	1	11	11	NUM
iajs-3006	110	2	.	.	PUNCT
iajs-3006	111	1	t.	t.	PROPN
iajs-3006	111	2	zamfirescu	zamfirescu	PROPN
iajs-3006	111	3	,	,	PUNCT
iajs-3006	111	4	“	"	PUNCT
iajs-3006	111	5	fixed	fix	VERB
iajs-3006	111	6	point	point	NOUN
iajs-3006	111	7	theorems	theorem	NOUN
iajs-3006	111	8	in	in	ADP
iajs-3006	111	9	metric	metric	ADJ
iajs-3006	111	10	spaces	space	NOUN
iajs-3006	111	11	,	,	PUNCT
iajs-3006	111	12	”	"	PUNCT
iajs-3006	111	13	archiv	archiv	PROPN
iajs-3006	111	14	der	der	PROPN
iajs-3006	111	15	mathematik	mathematik	PROPN
iajs-3006	111	16	,	,	PUNCT
iajs-3006	111	17	1972	1972	NUM
iajs-3006	111	18	,	,	PUNCT
iajs-3006	111	19	23	23	NUM
iajs-3006	111	20	,	,	PUNCT
iajs-3006	111	21	292–298	292–298	NUM
iajs-3006	111	22	.	.	PUNCT
iajs-3006	112	1	12	12	NUM
iajs-3006	112	2	.	.	PUNCT
iajs-3006	112	3	m.	m.	NOUN
iajs-3006	112	4	osilike	osilike	PROPN
iajs-3006	112	5	,	,	PUNCT
iajs-3006	112	6	"	"	PUNCT
iajs-3006	112	7	stability	stability	NOUN
iajs-3006	112	8	results	result	VERB
iajs-3006	112	9	for	for	ADP
iajs-3006	112	10	fixed	fix	VERB
iajs-3006	112	11	point	point	NOUN
iajs-3006	112	12	iteration	iteration	NOUN
iajs-3006	112	13	procedures	procedure	NOUN
iajs-3006	112	14	,	,	PUNCT
iajs-3006	112	15	"	"	PUNCT
iajs-3006	112	16	journal	journal	NOUN
iajs-3006	112	17	of	of	ADP
iajs-3006	112	18	the	the	DET
iajs-3006	112	19	nigerian	nigerian	PROPN
iajs-3006	112	20	mathematical	mathematical	ADJ
iajs-3006	112	21	society	society	NOUN
iajs-3006	112	22	,	,	PUNCT
iajs-3006	112	23	1995	1995	NUM
iajs-3006	112	24	,	,	PUNCT
iajs-3006	112	25	14,15	14,15	NUM
iajs-3006	112	26	,	,	PUNCT
iajs-3006	112	27	.	.	PUNCT
iajs-3006	113	1	17–29	17–29	NUM
iajs-3006	113	2	.	.	PUNCT
iajs-3006	114	1	13	13	NUM
iajs-3006	114	2	.	.	PUNCT
iajs-3006	114	3	a.	a.	NOUN
iajs-3006	114	4	harder	hard	ADV
iajs-3006	114	5	and	and	CCONJ
iajs-3006	114	6	t.hicks	t.hick	VERB
iajs-3006	114	7	,	,	PUNCT
iajs-3006	114	8	"	"	PUNCT
iajs-3006	114	9	stability	stability	NOUN
iajs-3006	114	10	results	result	VERB
iajs-3006	114	11	for	for	ADP
iajs-3006	114	12	fixed	fix	VERB
iajs-3006	114	13	point	point	NOUN
iajs-3006	114	14	iteration	iteration	NOUN
iajs-3006	114	15	procedures	procedure	NOUN
iajs-3006	114	16	"	"	PUNCT
iajs-3006	114	17	,	,	PUNCT
iajs-3006	114	18	math	math	NOUN
iajs-3006	114	19	.	.	PUNCT
iajs-3006	115	1	japonica	japonica	PROPN
iajs-3006	115	2	,	,	PUNCT
iajs-3006	115	3	1988	1988	NUM
iajs-3006	115	4	,	,	PUNCT
iajs-3006	115	5	33	33	NUM
iajs-3006	115	6	(	(	PUNCT
iajs-3006	115	7	5	5	NUM
iajs-3006	115	8	)	)	PUNCT
iajs-3006	115	9	,	,	PUNCT
iajs-3006	115	10	693	693	NUM
iajs-3006	115	11	-	-	SYM
iajs-3006	115	12	706	706	NUM
iajs-3006	115	13	.	.	NOUN
iajs-3006	115	14	14	14	NUM
iajs-3006	115	15	.	.	PUNCT
iajs-3006	116	1	v.	v.	CCONJ
iajs-3006	116	2	berinde	berinde	NOUN
iajs-3006	116	3	,	,	PUNCT
iajs-3006	116	4	"	"	PUNCT
iajs-3006	116	5	picard	picard	NOUN
iajs-3006	116	6	iteration	iteration	NOUN
iajs-3006	116	7	converges	converge	VERB
iajs-3006	116	8	faster	fast	ADV
iajs-3006	116	9	than	than	ADP
iajs-3006	116	10	mann	mann	PROPN
iajs-3006	116	11	iteration	iteration	NOUN
iajs-3006	116	12	for	for	ADP
iajs-3006	116	13	a	a	DET
iajs-3006	116	14	class	class	NOUN
iajs-3006	116	15	of	of	ADP
iajs-3006	116	16	quasicontractive	quasicontractive	ADJ
iajs-3006	116	17	operators	operator	NOUN
iajs-3006	116	18	,	,	PUNCT
iajs-3006	116	19	"	"	PUNCT
iajs-3006	116	20	fixed	fix	VERB
iajs-3006	116	21	pointtheory	pointtheory	NOUN
iajs-3006	116	22	and	and	CCONJ
iajs-3006	116	23	applications	application	NOUN
iajs-3006	116	24	,	,	PUNCT
iajs-3006	116	25	no	no	INTJ
iajs-3006	116	26	.	.	NOUN
iajs-3006	116	27	2	2	NUM
iajs-3006	116	28	,	,	PUNCT
iajs-3006	116	29	pp	pp	ADJ
iajs-3006	116	30	.	.	PUNCT
iajs-3006	117	1	94–105	94–105	NOUN
iajs-3006	117	2	,	,	PUNCT
iajs-3006	117	3	(	(	PUNCT
iajs-3006	117	4	2004	2004	NUM
iajs-3006	117	5	)	)	PUNCT
iajs-3006	117	6	.	.	PUNCT
iajs-3006	118	1	15	15	NUM
iajs-3006	118	2	.	.	PUNCT
iajs-3006	118	3	a.	a.	PROPN
iajs-3006	118	4	r.	r.	PROPN
iajs-3006	118	5	khan	khan	PROPN
iajs-3006	118	6	,	,	PUNCT
iajs-3006	118	7	v.	v.	PROPN
iajs-3006	118	8	kumar	kumar	PROPN
iajs-3006	118	9	,	,	PUNCT
iajs-3006	118	10	and	and	CCONJ
iajs-3006	118	11	n.	n.	PROPN
iajs-3006	118	12	hussain	hussain	PROPN
iajs-3006	118	13	,	,	PUNCT
iajs-3006	118	14	"	"	PUNCT
iajs-3006	118	15	analytical	analytical	ADJ
iajs-3006	118	16	and	and	CCONJ
iajs-3006	118	17	numerical	numerical	ADJ
iajs-3006	118	18	treatment	treatment	NOUN
iajs-3006	118	19	of	of	ADP
iajs-3006	118	20	jungck	jungck	NOUN
iajs-3006	118	21	-	-	PUNCT
iajs-3006	118	22	type	type	NOUN
iajs-3006	118	23	iterative	iterative	NOUN
iajs-3006	118	24	schemes	scheme	NOUN
iajs-3006	118	25	,	,	PUNCT
iajs-3006	118	26	"	"	PUNCT
iajs-3006	118	27	applied	apply	VERB
iajs-3006	118	28	mathematics	mathematic	NOUN
iajs-3006	118	29	and	and	CCONJ
iajs-3006	118	30	computation	computation	NOUN
iajs-3006	118	31	,	,	PUNCT
iajs-3006	118	32	2014	2014	NUM
iajs-3006	118	33	,	,	PUNCT
iajs-3006	118	34	231	231	NUM
iajs-3006	118	35	,	,	PUNCT
iajs-3006	118	36	pp	pp	ADJ
iajs-3006	118	37	.	.	PUNCT
iajs-3006	119	1	521–535	521–535	NUM
iajs-3006	119	2	.	.	PUNCT
iajs-3006	120	1	16	16	NUM
iajs-3006	120	2	.	.	PUNCT
iajs-3006	121	1	z	z	PROPN
iajs-3006	121	2	z.	z.	PROPN
iajs-3006	121	3	jamil	jamil	PROPN
iajs-3006	121	4	and	and	CCONJ
iajs-3006	121	5	m.	m.	PROPN
iajs-3006	121	6	b.	b.	PROPN
iajs-3006	121	7	abed	abed	PROPN
iajs-3006	121	8	,	,	PUNCT
iajs-3006	121	9	"	"	PUNCT
iajs-3006	121	10	on	on	ADP
iajs-3006	121	11	modified	modify	VERB
iajs-3006	121	12	sp	sp	NOUN
iajs-3006	121	13	-	-	PUNCT
iajs-3006	121	14	iterative	iterative	NOUN
iajs-3006	121	15	scheme	scheme	NOUN
iajs-3006	121	16	for	for	ADP
iajs-3006	121	17	approximating	approximate	VERB
iajs-3006	121	18	fixed	fix	VERB
iajs-3006	121	19	point	point	NOUN
iajs-3006	121	20	of	of	ADP
iajs-3006	121	21	contraction	contraction	NOUN
iajs-3006	121	22	mapping	mapping	NOUN
iajs-3006	121	23	"	"	PUNCT
iajs-3006	121	24	,	,	PUNCT
iajs-3006	121	25	iraqi	iraqi	ADJ
iajs-3006	121	26	journal	journal	NOUN
iajs-3006	121	27	of	of	ADP
iajs-3006	121	28	science	science	NOUN
iajs-3006	121	29	2015	2015	NUM
iajs-3006	121	30	,	,	PUNCT
iajs-3006	121	31	56	56	NUM
iajs-3006	121	32	,	,	PUNCT
iajs-3006	121	33	4b	4b	X
iajs-3006	121	34	,	,	PUNCT
iajs-3006	121	35	pp	pp	ADP
iajs-3006	121	36	:	:	PUNCT
iajs-3006	121	37	3230	3230	NUM
iajs-3006	121	38	-	-	SYM
iajs-3006	121	39	323	323	NUM
iajs-3006	121	40	.	.	PUNCT
iajs-3006	122	1	17	17	NUM
iajs-3006	122	2	.	.	PUNCT
iajs-3006	122	3	m.	m.	NOUN
iajs-3006	122	4	olatinwo	olatinwo	PROPN
iajs-3006	122	5	,	,	PUNCT
iajs-3006	122	6	"	"	PUNCT
iajs-3006	122	7	stability	stability	NOUN
iajs-3006	122	8	results	result	VERB
iajs-3006	122	9	for	for	ADP
iajs-3006	122	10	some	some	DET
iajs-3006	122	11	fixed	fix	VERB
iajs-3006	122	12	point	point	NOUN
iajs-3006	122	13	iterative	iterative	NOUN
iajs-3006	122	14	processes	process	NOUN
iajs-3006	122	15	in	in	ADP
iajs-3006	122	16	convex	convex	ADJ
iajs-3006	122	17	metric	metric	ADJ
iajs-3006	122	18	space	space	NOUN
iajs-3006	122	19	,	,	PUNCT
iajs-3006	122	20	"	"	PUNCT
iajs-3006	122	21	annals	annal	NOUN
iajs-3006	122	22	of	of	ADP
iajs-3006	122	23	faculty	faculty	NOUN
iajs-3006	122	24	engineering	engineer	VERB
iajs-3006	122	25	hunedora	hunedora	NOUN
iajs-3006	122	26	-	-	PUNCT
iajs-3006	122	27	international	international	ADJ
iajs-3006	122	28	journal	journal	NOUN
iajs-3006	122	29	of	of	ADP
iajs-3006	122	30	engineering	engineering	NOUN
iajs-3006	122	31	,	,	PUNCT
iajs-3006	122	32	2011	2011	NUM
iajs-3006	122	33	,	,	PUNCT
iajs-3006	122	34	l.9	l.9	PROPN
iajs-3006	122	35	,	,	PUNCT
iajs-3006	122	36	3	3	NUM
iajs-3006	122	37	,	,	PUNCT
iajs-3006	122	38	pp103	pp103	NOUN
iajs-3006	122	39	-	-	SYM
iajs-3006	122	40	106	106	NUM
iajs-3006	122	41	,	,	PUNCT
iajs-3006	122	42	.	.	PUNCT
iajs-3006	123	1	18	18	NUM
iajs-3006	123	2	.	.	PUNCT
iajs-3006	123	3	s.rathee	s.rathee	PROPN
iajs-3006	123	4	andm.swami	andm.swami	NOUN
iajs-3006	123	5	,	,	PUNCT
iajs-3006	123	6	"	"	PUNCT
iajs-3006	123	7	convergence	convergence	NOUN
iajs-3006	123	8	rate	rate	NOUN
iajs-3006	123	9	of	of	ADP
iajs-3006	123	10	various	various	ADJ
iajs-3006	123	11	iterations	iteration	NOUN
iajs-3006	123	12	with	with	ADP
iajs-3006	123	13	sm	sm	NOUN
iajs-3006	123	14	-	-	NOUN
iajs-3006	123	15	iteration	iteration	NOUN
iajs-3006	123	16	for	for	ADP
iajs-3006	123	17	continuous	continuous	ADJ
iajs-3006	123	18	functi	functi	PROPN
iajs-3006	123	19	savita	savita	PROPN
iajs-3006	123	20	ratheel	ratheel	PROPN
iajs-3006	123	21	.	.	PUNCT
iajs-3006	123	22	"	"	PUNCT
iajs-3006	124	1	j.	j.	PROPN
iajs-3006	124	2	math	math	PROPN
iajs-3006	124	3	.	.	PUNCT
iajs-3006	125	1	comput	comput	NOUN
iajs-3006	125	2	.	.	PUNCT
iajs-3006	126	1	sci	sci	PROPN
iajs-3006	126	2	,	,	PUNCT
iajs-3006	126	3	2020	2020	NUM
iajs-3006	126	4	,	,	PUNCT
iajs-3006	126	5	10	10	NUM
iajs-3006	126	6	,	,	PUNCT
iajs-3006	126	7	6	6	NUM
iajs-3006	126	8	,	,	PUNCT
iajs-3006	126	9	pp	pp	ADJ
iajs-3006	126	10	.	.	PUNCT
iajs-3006	126	11	3074	3074	NUM
iajs-3006	126	12	-	-	SYM
iajs-3006	126	13	3089	3089	NUM
iajs-3006	126	14	,	,	PUNCT
iajs-3006	126	15	(	(	PUNCT
iajs-3006	126	16	)	)	PUNCT
iajs-3006	126	17	.	.	PUNCT
iajs-3006	127	1	19	19	NUM
iajs-3006	127	2	.	.	PUNCT
iajs-3006	127	3	z.maibed	z.maibe	VERB
iajs-3006	127	4	anda	anda	PROPN
iajs-3006	127	5	.	.	PUNCT
iajs-3006	128	1	thajil	thajil	PROPN
iajs-3006	128	2	,	,	PUNCT
iajs-3006	128	3	"	"	PUNCT
iajs-3006	128	4	zenali	zenali	VERB
iajs-3006	128	5	iteration	iteration	NOUN
iajs-3006	128	6	method	method	NOUN
iajs-3006	128	7	for	for	ADP
iajs-3006	128	8	approximating	approximate	VERB
iajs-3006	128	9	fixed	fix	VERB
iajs-3006	128	10	point	point	NOUN
iajs-3006	128	11	of	of	ADP
iajs-3006	128	12	za	za	PROPN
iajs-3006	128	13	quasi	quasi	PROPN
iajs-3006	128	14	contractive	contractive	ADJ
iajs-3006	128	15	mappings	mapping	NOUN
iajs-3006	128	16	"	"	PUNCT
iajs-3006	128	17	.	.	PUNCT
iajs-3006	128	18	,	,	PUNCT
iajs-3006	128	19	haitham	haitham	PROPN
iajs-3006	128	20	journal	journal	PROPN
iajs-3006	128	21	for	for	ADP
iajs-3006	128	22	pure	pure	ADJ
iajs-3006	128	23	and	and	CCONJ
iajs-3006	128	24	applied	applied	ADJ
iajs-3006	128	25	science	science	NOUN
iajs-3006	128	26	,	,	PUNCT
iajs-3006	128	27	oct	oct	PROPN
iajs-3006	128	28	20	20	NUM
iajs-3006	128	29	2021	2021	NUM
iajs-3006	128	30	.	.	PUNCT
iajs-3006	129	1	20	20	NUM
iajs-3006	129	2	.	.	PUNCT
iajs-3006	130	1	j.	j.	PROPN
iajs-3006	130	2	daengsaen	daengsaen	PROPN
iajs-3006	130	3	and	and	CCONJ
iajs-3006	130	4	a.	a.	PROPN
iajs-3006	130	5	khemphet	khemphet	PROPN
iajs-3006	130	6	,	,	PUNCT
iajs-3006	130	7	"	"	PUNCT
iajs-3006	130	8	on	on	ADP
iajs-3006	130	9	the	the	DET
iajs-3006	130	10	rate	rate	NOUN
iajs-3006	130	11	of	of	ADP
iajs-3006	130	12	convergence	convergence	NOUN
iajs-3006	130	13	of	of	ADP
iajs-3006	130	14	p	p	NOUN
iajs-3006	130	15	-	-	PUNCT
iajs-3006	130	16	iteration	iteration	NOUN
iajs-3006	130	17	,	,	PUNCT
iajs-3006	130	18	sp	sp	NOUN
iajs-3006	130	19	-	-	PUNCT
iajs-3006	130	20	iteration	iteration	NOUN
iajs-3006	130	21	,	,	PUNCT
iajs-3006	130	22	and	and	CCONJ
iajs-3006	130	23	d	d	X
iajs-3006	130	24	-	-	PUNCT
iajs-3006	130	25	iteration	iteration	NOUN
iajs-3006	130	26	methods	method	NOUN
iajs-3006	130	27	for	for	ADP
iajs-3006	130	28	continuous	continuous	ADJ
iajs-3006	130	29	nondecreasing	nondecreasing	ADJ
iajs-3006	130	30	functions	function	NOUN
iajs-3006	130	31	on	on	ADP
iajs-3006	130	32	closed	closed	ADJ
iajs-3006	130	33	intervals	interval	NOUN
iajs-3006	130	34	,	,	PUNCT
iajs-3006	130	35	"	"	PUNCT
iajs-3006	130	36	hindawi	hindawi	ADJ
iajs-3006	130	37	abstr	abstr	PROPN
iajs-3006	130	38	.	.	PUNCT
iajs-3006	131	1	appl	appl	PROPN
iajs-3006	131	2	.	.	PUNCT
iajs-3006	132	1	anal	anal	PROPN
iajs-3006	132	2	.	.	PROPN
iajs-3006	132	3	,	,	PUNCT
iajs-3006	132	4	2018	2018	NUM
iajs-3006	132	5	,	,	PUNCT
iajs-3006	132	6	pp	pp	ADJ
iajs-3006	132	7	.	.	PUNCT
iajs-3006	133	1	6	6	NUM
iajs-3006	133	2	.	.	NOUN
iajs-3006	133	3	21	21	NUM
iajs-3006	133	4	.	.	PUNCT
iajs-3006	134	1	k.	k.	PROPN
iajs-3006	134	2	ullah	ullah	PROPN
iajs-3006	134	3	and	and	CCONJ
iajs-3006	134	4	a.	a.	PROPN
iajs-3006	134	5	muhammad	muhammad	PROPN
iajs-3006	134	6	,	,	PUNCT
iajs-3006	134	7	"	"	PUNCT
iajs-3006	134	8	new	new	ADJ
iajs-3006	134	9	three	three	NUM
iajs-3006	134	10	-	-	PUNCT
iajs-3006	134	11	step	step	NOUN
iajs-3006	134	12	iteration	iteration	NOUN
iajs-3006	134	13	process	process	NOUN
iajs-3006	134	14	and	and	CCONJ
iajs-3006	134	15	fixed	fix	VERB
iajs-3006	134	16	point	point	NOUN
iajs-3006	134	17	approximation	approximation	NOUN
iajs-3006	134	18	in	in	ADP
iajs-3006	134	19	banach	banach	NOUN
iajs-3006	134	20	spaces	space	NOUN
iajs-3006	134	21	,	,	PUNCT
iajs-3006	134	22	"	"	PUNCT
iajs-3006	134	23	linear	linear	ADJ
iajs-3006	134	24	topol	topol	NOUN
iajs-3006	134	25	.	.	PUNCT
iajs-3006	135	1	algebra.07	algebra.07	PROPN
iajs-3006	135	2	,	,	PUNCT
iajs-3006	135	3	no	no	INTJ
iajs-3006	135	4	.	.	PROPN
iajs-3006	135	5	02	02	NUM
iajs-3006	135	6	,	,	PUNCT
iajs-3006	135	7	pp	pp	ADJ
iajs-3006	135	8	.	.	PUNCT
iajs-3006	136	1	87–100	87–100	NUM
iajs-3006	136	2	,	,	PUNCT
iajs-3006	136	3	(	(	PUNCT
iajs-3006	136	4	2018	2018	NUM
iajs-3006	136	5	)	)	PUNCT
iajs-3006	136	6	.	.	PUNCT
iajs-3006	137	1	22	22	NUM
iajs-3006	137	2	.	.	PUNCT
iajs-3006	137	3	z.maibed	z.maibe	VERB
iajs-3006	137	4	and	and	CCONJ
iajs-3006	137	5	.	.	PUNCT
iajs-3006	138	1	a.thajil	a.thajil	NOUN
iajs-3006	138	2	,	,	PUNCT
iajs-3006	138	3	"	"	PUNCT
iajs-3006	138	4	equivalence	equivalence	NOUN
iajs-3006	138	5	of	of	ADP
iajs-3006	138	6	some	some	DET
iajs-3006	138	7	iterations	iteration	NOUN
iajs-3006	138	8	for	for	ADP
iajs-3006	138	9	class	class	NOUN
iajs-3006	138	10	of	of	ADP
iajs-3006	138	11	quasi	quasi	NOUN
iajs-3006	138	12	contractive	contractive	ADJ
iajs-3006	138	13	mappings	mapping	NOUN
iajs-3006	138	14	"	"	PUNCT
iajs-3006	138	15	,	,	PUNCT
iajs-3006	138	16	j.	j.	PROPN
iajs-3006	138	17	phys	phys	PROPN
iajs-3006	138	18	.	.	PUNCT
iajs-3006	138	19	:	:	PUNCT
iajs-3006	138	20	conf	conf	NOUN
iajs-3006	138	21	.	.	PUNCT
iajs-3006	139	1	ser,1879	ser,1879	VERB
iajs-3006	139	2	022115	022115	NUM
iajs-3006	139	3	,	,	PUNCT
iajs-3006	139	4	2021	2021	NUM
iajs-3006	139	5	.	.	PUNCT