id	sid	tid	token	lemma	pos
cana-3264	1	1	communications	communication	NOUN
cana-3264	1	2	on	on	ADP
cana-3264	1	3	applied	apply	VERB
cana-3264	1	4	nonlinear	nonlinear	ADJ
cana-3264	1	5	analysis	analysis	NOUN
cana-3264	1	6	issn	issn	NOUN
cana-3264	1	7	:	:	PUNCT
cana-3264	1	8	1074	1074	NUM
cana-3264	1	9	-	-	PUNCT
cana-3264	1	10	133x	133x	NUM
cana-3264	1	11	vol	vol	NOUN
cana-3264	1	12	32	32	NUM
cana-3264	1	13	no	no	NOUN
cana-3264	1	14	.	.	PUNCT
cana-3264	2	1	6s	6s	NUM
cana-3264	2	2	(	(	PUNCT
cana-3264	2	3	2025	2025	NUM
cana-3264	2	4	)	)	PUNCT
cana-3264	2	5	80	80	NUM
cana-3264	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3264	2	7	approximation	approximation	NOUN
cana-3264	2	8	of	of	ADP
cana-3264	2	9	fixed	fix	VERB
cana-3264	2	10	points	point	NOUN
cana-3264	2	11	via	via	ADP
cana-3264	2	12	picard	picard	NOUN
cana-3264	2	13	-	-	PUNCT
cana-3264	2	14	abbas	abbas	PROPN
cana-3264	2	15	hybrid	hybrid	ADJ
cana-3264	2	16	iteration	iteration	NOUN
cana-3264	2	17	scheme	scheme	NOUN
cana-3264	2	18	for	for	ADP
cana-3264	2	19	-quasi	-quasi	NOUN
cana-3264	2	20	-	-	PUNCT
cana-3264	2	21	nonexpansive	nonexpansive	ADJ
cana-3264	2	22	multivalued	multivalued	ADJ
cana-3264	2	23	mappings	mapping	NOUN
cana-3264	2	24	1manbhalang	1manbhalang	NUM
cana-3264	2	25	chyne	chyne	PROPN
cana-3264	2	26	,	,	PUNCT
cana-3264	2	27	2	2	NUM
cana-3264	2	28	,	,	PUNCT
cana-3264	2	29	*	*	PUNCT
cana-3264	2	30	naveen	naveen	PROPN
cana-3264	2	31	kumar	kumar	PROPN
cana-3264	2	32	1	1	NUM
cana-3264	2	33	,	,	PUNCT
cana-3264	2	34	2	2	NUM
cana-3264	2	35	chandigarh	chandigarh	NOUN
cana-3264	2	36	university	university	NOUN
cana-3264	2	37	,	,	PUNCT
cana-3264	2	38	gharuan	gharuan	PROPN
cana-3264	2	39	,	,	PUNCT
cana-3264	2	40	mohali	mohali	PROPN
cana-3264	2	41	,	,	PUNCT
cana-3264	2	42	punjab	punjab	PROPN
cana-3264	2	43	,	,	PUNCT
cana-3264	2	44	india	india	PROPN
cana-3264	2	45	article	article	PROPN
cana-3264	2	46	history	history	NOUN
cana-3264	2	47	:	:	PUNCT
cana-3264	2	48	received	receive	VERB
cana-3264	2	49	:	:	PUNCT
cana-3264	2	50	15	15	NUM
cana-3264	2	51	-	-	SYM
cana-3264	2	52	10	10	NUM
cana-3264	2	53	-	-	PUNCT
cana-3264	2	54	2024	2024	NUM
cana-3264	2	55	revised	revise	VERB
cana-3264	2	56	:	:	PUNCT
cana-3264	2	57	29	29	NUM
cana-3264	2	58	-	-	SYM
cana-3264	2	59	11	11	NUM
cana-3264	2	60	-	-	PUNCT
cana-3264	2	61	2024	2024	NUM
cana-3264	2	62	accepted	accept	VERB
cana-3264	2	63	:	:	PUNCT
cana-3264	2	64	10	10	NUM
cana-3264	2	65	-	-	SYM
cana-3264	2	66	12	12	NUM
cana-3264	2	67	-	-	PUNCT
cana-3264	2	68	2024	2024	NUM
cana-3264	2	69	abstract	abstract	NOUN
cana-3264	2	70	:	:	PUNCT
cana-3264	2	71	we	we	PRON
cana-3264	2	72	present	present	VERB
cana-3264	2	73	results	result	NOUN
cana-3264	2	74	on	on	ADP
cana-3264	2	75	stability	stability	NOUN
cana-3264	2	76	and	and	CCONJ
cana-3264	2	77	convergence	convergence	NOUN
cana-3264	2	78	for	for	ADP
cana-3264	2	79	the	the	DET
cana-3264	2	80	picard	picard	NOUN
cana-3264	2	81	-	-	PUNCT
cana-3264	2	82	abbas	abbas	PROPN
cana-3264	2	83	iteration	iteration	NOUN
cana-3264	2	84	scheme	scheme	NOUN
cana-3264	2	85	for	for	ADP
cana-3264	2	86	ρ	ρ	NOUN
cana-3264	2	87	-	-	PUNCT
cana-3264	2	88	quasi	quasi	ADJ
cana-3264	2	89	-	-	ADJ
cana-3264	2	90	nonexpansive	nonexpansive	ADJ
cana-3264	2	91	multivalued	multivalued	ADJ
cana-3264	2	92	mappings	mapping	NOUN
cana-3264	2	93	within	within	ADP
cana-3264	2	94	modular	modular	ADJ
cana-3264	2	95	function	function	NOUN
cana-3264	2	96	spaces	space	NOUN
cana-3264	2	97	.	.	PUNCT
cana-3264	3	1	furthermore	furthermore	ADV
cana-3264	3	2	,	,	PUNCT
cana-3264	3	3	we	we	PRON
cana-3264	3	4	demonstrate	demonstrate	VERB
cana-3264	3	5	an	an	DET
cana-3264	3	6	application	application	NOUN
cana-3264	3	7	of	of	ADP
cana-3264	3	8	the	the	DET
cana-3264	3	9	iteration	iteration	NOUN
cana-3264	3	10	scheme	scheme	NOUN
cana-3264	3	11	in	in	ADP
cana-3264	3	12	differential	differential	ADJ
cana-3264	3	13	equations	equation	NOUN
cana-3264	3	14	.	.	PUNCT
cana-3264	4	1	keywords	keyword	NOUN
cana-3264	4	2	:	:	PUNCT
cana-3264	4	3	picard	picard	NOUN
cana-3264	4	4	-	-	PUNCT
cana-3264	4	5	abbas	abbas	PROPN
cana-3264	4	6	hybrid	hybrid	ADJ
cana-3264	4	7	iteration	iteration	NOUN
cana-3264	4	8	;	;	PUNCT
cana-3264	4	9	convergence	convergence	NOUN
cana-3264	4	10	;	;	PUNCT
cana-3264	4	11	stability	stability	NOUN
cana-3264	4	12	;	;	PUNCT
cana-3264	4	13	quasi	quasi	ADJ
cana-3264	4	14	-	-	ADJ
cana-3264	4	15	nonexpansive	nonexpansive	ADJ
cana-3264	4	16	mappings	mapping	NOUN
cana-3264	4	17	;	;	PUNCT
cana-3264	4	18	modular	modular	ADJ
cana-3264	4	19	function	function	NOUN
cana-3264	4	20	space	space	NOUN
cana-3264	4	21	.	.	PUNCT
cana-3264	5	1	1	1	X
cana-3264	5	2	.	.	X
cana-3264	5	3	introduction	introduction	NOUN
cana-3264	5	4	nakano	nakano	PROPN
cana-3264	6	1	[	[	X
cana-3264	6	2	28	28	NUM
cana-3264	6	3	]	]	X
cana-3264	6	4	generalized	generalize	VERB
cana-3264	6	5	the	the	DET
cana-3264	6	6	ordered	order	VERB
cana-3264	6	7	spaces	space	NOUN
cana-3264	6	8	theory	theory	NOUN
cana-3264	6	9	to	to	ADP
cana-3264	6	10	modular	modular	ADJ
cana-3264	6	11	spaces	space	NOUN
cana-3264	6	12	.	.	PUNCT
cana-3264	7	1	later	later	ADV
cana-3264	7	2	,	,	PUNCT
cana-3264	7	3	musielak	musielak	NOUN
cana-3264	7	4	and	and	CCONJ
cana-3264	7	5	orlicz	orlicz	NOUN
cana-3264	8	1	[	[	X
cana-3264	8	2	26	26	NUM
cana-3264	8	3	]	]	PUNCT
cana-3264	8	4	further	far	ADV
cana-3264	8	5	extended	extend	VERB
cana-3264	8	6	and	and	CCONJ
cana-3264	8	7	generalized	generalize	VERB
cana-3264	8	8	this	this	DET
cana-3264	8	9	theory	theory	NOUN
cana-3264	8	10	.	.	PUNCT
cana-3264	9	1	in	in	ADP
cana-3264	9	2	modular	modular	ADJ
cana-3264	9	3	spaces	space	NOUN
cana-3264	9	4	,	,	PUNCT
cana-3264	9	5	it	it	PRON
cana-3264	9	6	was	be	AUX
cana-3264	9	7	khamsi	khamsi	NOUN
cana-3264	9	8	,	,	PUNCT
cana-3264	9	9	kozlowski	kozlowski	PROPN
cana-3264	9	10	,	,	PUNCT
cana-3264	9	11	and	and	CCONJ
cana-3264	9	12	reich	reich	PROPN
cana-3264	10	1	[	[	X
cana-3264	10	2	9	9	NUM
cana-3264	10	3	]	]	PUNCT
cana-3264	10	4	who	who	PRON
cana-3264	10	5	first	first	ADV
cana-3264	10	6	studied	study	VERB
cana-3264	10	7	the	the	DET
cana-3264	10	8	theory	theory	NOUN
cana-3264	10	9	of	of	ADP
cana-3264	10	10	fixed	fix	VERB
cana-3264	10	11	points	point	NOUN
cana-3264	10	12	.	.	PUNCT
cana-3264	11	1	but	but	CCONJ
cana-3264	11	2	,	,	PUNCT
cana-3264	11	3	it	it	PRON
cana-3264	11	4	was	be	AUX
cana-3264	11	5	khan	khan	PROPN
cana-3264	11	6	and	and	CCONJ
cana-3264	11	7	abbas	abbas	PROPN
cana-3264	12	1	[	[	X
cana-3264	12	2	10	10	NUM
cana-3264	12	3	]	]	PUNCT
cana-3264	12	4	who	who	PRON
cana-3264	12	5	first	first	ADV
cana-3264	12	6	studied	study	VERB
cana-3264	12	7	the	the	DET
cana-3264	12	8	fixed	fix	VERB
cana-3264	12	9	point	point	NOUN
cana-3264	12	10	approximation	approximation	NOUN
cana-3264	12	11	for	for	ADP
cana-3264	12	12	-nonexpansive	-nonexpansive	ADJ
cana-3264	12	13	multivalued	multivalued	ADJ
cana-3264	12	14	mappings	mapping	NOUN
cana-3264	12	15	in	in	ADP
cana-3264	12	16	modular	modular	ADJ
cana-3264	12	17	function	function	NOUN
cana-3264	12	18	spaces	space	NOUN
cana-3264	12	19	,	,	PUNCT
cana-3264	12	20	utilizing	utilize	VERB
cana-3264	12	21	mann	mann	PROPN
cana-3264	12	22	iteration	iteration	NOUN
cana-3264	12	23	scheme	scheme	NOUN
cana-3264	12	24	.	.	PUNCT
cana-3264	13	1	later	later	ADV
cana-3264	13	2	,	,	PUNCT
cana-3264	13	3	by	by	ADP
cana-3264	13	4	utilizing	utilize	VERB
cana-3264	13	5	a	a	DET
cana-3264	13	6	three	three	NUM
cana-3264	13	7	-	-	PUNCT
cana-3264	13	8	step	step	NOUN
cana-3264	13	9	iteration	iteration	NOUN
cana-3264	13	10	scheme	scheme	NOUN
cana-3264	13	11	,	,	PUNCT
cana-3264	13	12	khan	khan	PROPN
cana-3264	13	13	et	et	PROPN
cana-3264	13	14	al	al	PROPN
cana-3264	13	15	.	.	PUNCT
cana-3264	14	1	[	[	X
cana-3264	14	2	11	11	NUM
cana-3264	14	3	]	]	PUNCT
cana-3264	14	4	gave	give	VERB
cana-3264	14	5	fixed	fix	VERB
cana-3264	14	6	point	point	NOUN
cana-3264	14	7	approximation	approximation	NOUN
cana-3264	14	8	results	result	NOUN
cana-3264	14	9	for	for	ADP
cana-3264	14	10	-quasi	-quasi	NOUN
cana-3264	14	11	-	-	PUNCT
cana-3264	14	12	nonexpansive	nonexpansive	ADJ
cana-3264	14	13	multivalued	multivalued	ADJ
cana-3264	14	14	mappings	mapping	NOUN
cana-3264	14	15	.	.	PUNCT
cana-3264	15	1	okeke	okeke	PROPN
cana-3264	15	2	et	et	PROPN
cana-3264	15	3	al	al	PROPN
cana-3264	15	4	.	.	PUNCT
cana-3264	16	1	[	[	X
cana-3264	16	2	29	29	NUM
cana-3264	16	3	]	]	PUNCT
cana-3264	16	4	also	also	ADV
cana-3264	16	5	provided	provide	VERB
cana-3264	16	6	significant	significant	ADJ
cana-3264	16	7	results	result	NOUN
cana-3264	16	8	for	for	ADP
cana-3264	16	9	these	these	DET
cana-3264	16	10	mappings	mapping	NOUN
cana-3264	16	11	,	,	PUNCT
cana-3264	16	12	by	by	ADP
cana-3264	16	13	utilizing	utilize	VERB
cana-3264	16	14	the	the	DET
cana-3264	16	15	hybrid	hybrid	ADJ
cana-3264	16	16	picard	picard	NOUN
cana-3264	16	17	krasnoselski	krasnoselski	VERB
cana-3264	16	18	iteration	iteration	NOUN
cana-3264	16	19	scheme	scheme	NOUN
cana-3264	16	20	.	.	PUNCT
cana-3264	17	1	these	these	DET
cana-3264	17	2	spaces	space	NOUN
cana-3264	17	3	have	have	VERB
cana-3264	17	4	rich	rich	ADJ
cana-3264	17	5	structural	structural	ADJ
cana-3264	17	6	properties	property	NOUN
cana-3264	17	7	,	,	PUNCT
cana-3264	17	8	and	and	CCONJ
cana-3264	17	9	are	be	AUX
cana-3264	17	10	equipped	equip	VERB
cana-3264	17	11	with	with	ADP
cana-3264	17	12	modular	modular	ADJ
cana-3264	17	13	equivalents	equivalent	NOUN
cana-3264	17	14	of	of	ADP
cana-3264	17	15	metric	metric	ADJ
cana-3264	17	16	and	and	CCONJ
cana-3264	17	17	norm	norm	NOUN
cana-3264	17	18	concepts	concept	NOUN
cana-3264	17	19	.	.	PUNCT
cana-3264	18	1	the	the	DET
cana-3264	18	2	modular	modular	ADJ
cana-3264	18	3	type	type	NOUN
cana-3264	18	4	conditions	condition	NOUN
cana-3264	18	5	,	,	PUNCT
cana-3264	18	6	offer	offer	VERB
cana-3264	18	7	a	a	DET
cana-3264	18	8	more	more	ADV
cana-3264	18	9	intuitive	intuitive	ADJ
cana-3264	18	10	and	and	CCONJ
cana-3264	18	11	verifiable	verifiable	ADJ
cana-3264	18	12	framework	framework	NOUN
cana-3264	18	13	compared	compare	VERB
cana-3264	18	14	to	to	ADP
cana-3264	18	15	the	the	DET
cana-3264	18	16	traditional	traditional	ADJ
cana-3264	18	17	norm	norm	NOUN
cana-3264	18	18	-	-	PUNCT
cana-3264	18	19	based	base	VERB
cana-3264	18	20	assumptions	assumption	NOUN
cana-3264	18	21	,	,	PUNCT
cana-3264	18	22	thus	thus	ADV
cana-3264	18	23	contributing	contribute	VERB
cana-3264	18	24	to	to	ADP
cana-3264	18	25	their	their	PRON
cana-3264	18	26	increasing	increase	VERB
cana-3264	18	27	popularity	popularity	NOUN
cana-3264	18	28	.	.	PUNCT
cana-3264	19	1	this	this	DET
cana-3264	19	2	paper	paper	NOUN
cana-3264	19	3	purposes	purpose	NOUN
cana-3264	19	4	to	to	PART
cana-3264	19	5	further	further	VERB
cana-3264	19	6	the	the	DET
cana-3264	19	7	existing	exist	VERB
cana-3264	19	8	work	work	NOUN
cana-3264	19	9	by	by	ADP
cana-3264	19	10	presenting	present	VERB
cana-3264	19	11	new	new	ADJ
cana-3264	19	12	results	result	NOUN
cana-3264	19	13	on	on	ADP
cana-3264	19	14	convergence	convergence	NOUN
cana-3264	19	15	and	and	CCONJ
cana-3264	19	16	stability	stability	NOUN
cana-3264	19	17	for	for	ADP
cana-3264	19	18	-quasi	-quasi	NOUN
cana-3264	19	19	-	-	PUNCT
cana-3264	19	20	nonexpansive	nonexpansive	ADJ
cana-3264	19	21	mappings	mapping	NOUN
cana-3264	19	22	within	within	ADP
cana-3264	19	23	modular	modular	ADJ
cana-3264	19	24	function	function	NOUN
cana-3264	19	25	spaces	space	NOUN
cana-3264	19	26	,	,	PUNCT
cana-3264	19	27	utilizing	utilize	VERB
cana-3264	19	28	the	the	DET
cana-3264	19	29	picard	picard	NOUN
cana-3264	19	30	abbas	abbas	NOUN
cana-3264	19	31	-	-	PUNCT
cana-3264	19	32	type	type	NOUN
cana-3264	19	33	hybrid	hybrid	ADJ
cana-3264	19	34	iterative	iterative	NOUN
cana-3264	19	35	approach	approach	NOUN
cana-3264	19	36	.	.	PUNCT
cana-3264	20	1	in	in	ADP
cana-3264	20	2	doing	do	VERB
cana-3264	20	3	so	so	ADV
cana-3264	20	4	,	,	PUNCT
cana-3264	20	5	we	we	PRON
cana-3264	20	6	contribute	contribute	VERB
cana-3264	20	7	to	to	ADP
cana-3264	20	8	the	the	DET
cana-3264	20	9	on	on	ADV
cana-3264	20	10	-	-	PUNCT
cana-3264	20	11	going	go	VERB
cana-3264	20	12	discourse	discourse	NOUN
cana-3264	20	13	in	in	ADP
cana-3264	20	14	fixed	fix	VERB
cana-3264	20	15	point	point	NOUN
cana-3264	20	16	theory	theory	NOUN
cana-3264	20	17	,	,	PUNCT
cana-3264	20	18	enhancing	enhance	VERB
cana-3264	20	19	our	our	PRON
cana-3264	20	20	understanding	understanding	NOUN
cana-3264	20	21	of	of	ADP
cana-3264	20	22	the	the	DET
cana-3264	20	23	interplay	interplay	NOUN
cana-3264	20	24	between	between	ADP
cana-3264	20	25	modular	modular	ADJ
cana-3264	20	26	structures	structure	NOUN
cana-3264	20	27	and	and	CCONJ
cana-3264	20	28	iterative	iterative	NOUN
cana-3264	20	29	methods	method	NOUN
cana-3264	20	30	.	.	PUNCT
cana-3264	21	1	2	2	X
cana-3264	21	2	.	.	X
cana-3264	21	3	preliminaries	preliminary	NOUN
cana-3264	21	4	consider	consider	VERB
cana-3264	21	5	a	a	DET
cana-3264	21	6	nontrivial	nontrivial	ADJ
cana-3264	21	7	-algebra	-algebra	NOUN
cana-3264	21	8	on	on	ADP
cana-3264	21	9	,	,	PUNCT
cana-3264	21	10	and	and	CCONJ
cana-3264	21	11	a	a	PRON
cana-3264	21	12	of	of	ADP
cana-3264	21	13	subsets	subset	NOUN
cana-3264	21	14	of	of	ADP
cana-3264	21	15	,	,	PUNCT
cana-3264	21	16	with	with	ADP
cana-3264	21	17	,	,	PUNCT
cana-3264	21	18	.	.	PUNCT
cana-3264	22	1	let	let	AUX
cana-3264	22	2	be	be	AUX
cana-3264	22	3	an	an	DET
cana-3264	22	4	increasing	increase	VERB
cana-3264	22	5	sequence	sequence	NOUN
cana-3264	22	6	of	of	ADP
cana-3264	22	7	sets	set	NOUN
cana-3264	22	8	with	with	ADP
cana-3264	22	9	.	.	PUNCT
cana-3264	23	1	let	let	AUX
cana-3264	23	2	be	be	AUX
cana-3264	23	3	the	the	DET
cana-3264	23	4	space	space	NOUN
cana-3264	23	5	of	of	ADP
cana-3264	23	6	all	all	DET
cana-3264	23	7	extended	extended	ADJ
cana-3264	23	8	measurable	measurable	ADJ
cana-3264	23	9	functions	function	NOUN
cana-3264	23	10	.	.	PUNCT
cana-3264	24	1	let	let	AUX
cana-3264	24	2	be	be	AUX
cana-3264	24	3	the	the	DET
cana-3264	24	4	vector	vector	NOUN
cana-3264	24	5	space	space	NOUN
cana-3264	24	6	of	of	ADP
cana-3264	24	7	simple	simple	ADJ
cana-3264	24	8	functions	function	NOUN
cana-3264	24	9	with	with	ADP
cana-3264	24	10	support	support	NOUN
cana-3264	24	11	being	be	AUX
cana-3264	24	12	contained	contain	VERB
cana-3264	24	13	within	within	ADP
cana-3264	24	14	and	and	CCONJ
cana-3264	24	15	be	be	AUX
cana-3264	24	16	the	the	DET
cana-3264	24	17	characteristic	characteristic	ADJ
cana-3264	24	18	function	function	NOUN
cana-3264	24	19	of	of	ADP
cana-3264	24	20	in	in	ADP
cana-3264	24	21	.	.	PUNCT
cana-3264	25	1	communications	communication	NOUN
cana-3264	25	2	on	on	ADP
cana-3264	25	3	applied	apply	VERB
cana-3264	25	4	nonlinear	nonlinear	ADJ
cana-3264	25	5	analysis	analysis	NOUN
cana-3264	25	6	issn	issn	NOUN
cana-3264	25	7	:	:	PUNCT
cana-3264	25	8	1074	1074	NUM
cana-3264	25	9	-	-	PUNCT
cana-3264	25	10	133x	133x	NUM
cana-3264	25	11	vol	vol	NOUN
cana-3264	25	12	32	32	NUM
cana-3264	25	13	no	no	NOUN
cana-3264	25	14	.	.	PUNCT
cana-3264	26	1	6s	6s	NUM
cana-3264	26	2	(	(	PUNCT
cana-3264	26	3	2025	2025	NUM
cana-3264	26	4	)	)	PUNCT
cana-3264	26	5	81	81	NUM
cana-3264	26	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3264	26	7	we	we	PRON
cana-3264	26	8	define	define	VERB
cana-3264	26	9	,	,	PUNCT
cana-3264	26	10	for	for	ADP
cana-3264	26	11	simplicity	simplicity	NOUN
cana-3264	26	12	,	,	PUNCT
cana-3264	26	13	we	we	PRON
cana-3264	26	14	write	write	VERB
cana-3264	26	15	instead	instead	ADV
cana-3264	26	16	of	of	ADP
cana-3264	26	17	.	.	PUNCT
cana-3264	27	1	definition	definition	NOUN
cana-3264	27	2	2.1	2.1	NUM
cana-3264	27	3	.	.	PUNCT
cana-3264	28	1	[	[	X
cana-3264	28	2	12	12	NUM
cana-3264	28	3	]	]	PUNCT
cana-3264	28	4	a	a	DET
cana-3264	28	5	functional	functional	NOUN
cana-3264	28	6	of	of	ADP
cana-3264	28	7	a	a	DET
cana-3264	28	8	vector	vector	NOUN
cana-3264	28	9	space	space	NOUN
cana-3264	28	10	(	(	PUNCT
cana-3264	28	11	or	or	CCONJ
cana-3264	28	12	)	)	PUNCT
cana-3264	28	13	is	be	AUX
cana-3264	28	14	a	a	DET
cana-3264	28	15	modular	modular	NOUN
cana-3264	28	16	if	if	SCONJ
cana-3264	28	17	for	for	ADP
cana-3264	28	18	arbitrary	arbitrary	ADJ
cana-3264	28	19	,	,	PUNCT
cana-3264	28	20	the	the	DET
cana-3264	28	21	statements	statement	NOUN
cana-3264	28	22	below	below	ADP
cana-3264	28	23	hold	hold	NOUN
cana-3264	28	24	:	:	PUNCT
cana-3264	28	25	(	(	PUNCT
cana-3264	28	26	i	i	NOUN
cana-3264	28	27	)	)	PUNCT
cana-3264	28	28	(	(	PUNCT
cana-3264	28	29	ii	ii	NOUN
cana-3264	28	30	)	)	PUNCT
cana-3264	28	31	whenever	whenever	SCONJ
cana-3264	28	32	(	(	PUNCT
cana-3264	28	33	iii	iii	X
cana-3264	28	34	)	)	PUNCT
cana-3264	28	35	whenever	whenever	SCONJ
cana-3264	28	36	.	.	PUNCT
cana-3264	29	1	if	if	SCONJ
cana-3264	29	2	we	we	PRON
cana-3264	29	3	replace	replace	VERB
cana-3264	29	4	(	(	PUNCT
cana-3264	29	5	iii	iii	NOUN
cana-3264	29	6	)	)	PUNCT
cana-3264	29	7	by	by	ADP
cana-3264	29	8	(	(	PUNCT
cana-3264	29	9	iv	iv	X
cana-3264	29	10	)	)	PUNCT
cana-3264	29	11	whenever	whenever	SCONJ
cana-3264	29	12	.	.	PUNCT
cana-3264	30	1	then	then	ADV
cana-3264	30	2	the	the	DET
cana-3264	30	3	modular	modular	NOUN
cana-3264	30	4	is	be	AUX
cana-3264	30	5	convex	convex	NOUN
cana-3264	30	6	.	.	PUNCT
cana-3264	31	1	definition	definition	NOUN
cana-3264	31	2	2.2	2.2	NUM
cana-3264	31	3	.	.	PUNCT
cana-3264	32	1	[	[	X
cana-3264	32	2	12	12	NUM
cana-3264	32	3	]	]	PUNCT
cana-3264	32	4	the	the	DET
cana-3264	32	5	following	follow	VERB
cana-3264	32	6	set	set	NOUN
cana-3264	32	7	is	be	AUX
cana-3264	32	8	called	call	VERB
cana-3264	32	9	a	a	DET
cana-3264	32	10	modular	modular	ADJ
cana-3264	32	11	function	function	NOUN
cana-3264	32	12	space	space	NOUN
cana-3264	32	13	,	,	PUNCT
cana-3264	32	14	for	for	ADP
cana-3264	32	15	a	a	DET
cana-3264	32	16	convex	convex	NOUN
cana-3264	32	17	modular	modular	NOUN
cana-3264	32	18	in	in	ADP
cana-3264	32	19	:	:	PUNCT
cana-3264	32	20	in	in	ADP
cana-3264	32	21	general	general	ADJ
cana-3264	32	22	,	,	PUNCT
cana-3264	32	23	is	be	AUX
cana-3264	32	24	not	not	PART
cana-3264	32	25	sub	sub	ADJ
cana-3264	32	26	-	-	NOUN
cana-3264	32	27	additive	additive	ADJ
cana-3264	32	28	.	.	PUNCT
cana-3264	33	1	we	we	PRON
cana-3264	33	2	can	can	AUX
cana-3264	33	3	equip	equip	VERB
cana-3264	33	4	the	the	PRON
cana-3264	33	5	with	with	ADP
cana-3264	33	6	the	the	DET
cana-3264	33	7	following	follow	VERB
cana-3264	33	8	f	f	NOUN
cana-3264	33	9	-	-	PUNCT
cana-3264	33	10	norm	norm	NOUN
cana-3264	33	11	:	:	PUNCT
cana-3264	33	12	.	.	PUNCT
cana-3264	34	1	if	if	SCONJ
cana-3264	34	2	is	be	AUX
cana-3264	34	3	a	a	DET
cana-3264	34	4	convex	convex	NOUN
cana-3264	34	5	,	,	PUNCT
cana-3264	34	6	then	then	ADV
cana-3264	34	7	the	the	DET
cana-3264	34	8	norm	norm	NOUN
cana-3264	34	9	is	be	AUX
cana-3264	34	10	called	call	VERB
cana-3264	34	11	the	the	DET
cana-3264	34	12	luxemburg	luxemburg	NOUN
cana-3264	34	13	norm	norm	NOUN
cana-3264	34	14	on	on	ADP
cana-3264	34	15	the	the	DET
cana-3264	34	16	modular	modular	ADJ
cana-3264	34	17	space	space	NOUN
cana-3264	34	18	.	.	PUNCT
cana-3264	35	1	definition	definition	NOUN
cana-3264	35	2	2.3	2.3	NUM
cana-3264	35	3	.	.	PUNCT
cana-3264	36	1	[	[	X
cana-3264	36	2	12	12	NUM
cana-3264	36	3	]	]	PUNCT
cana-3264	36	4	the	the	DET
cana-3264	36	5	nontrivial	nontrivial	NOUN
cana-3264	36	6	,	,	PUNCT
cana-3264	36	7	even	even	ADV
cana-3264	36	8	and	and	CCONJ
cana-3264	36	9	convex	convex	ADJ
cana-3264	36	10	function	function	NOUN
cana-3264	36	11	is	be	AUX
cana-3264	36	12	called	call	VERB
cana-3264	36	13	a	a	DET
cana-3264	36	14	regular	regular	ADJ
cana-3264	36	15	convex	convex	NOUN
cana-3264	36	16	function	function	NOUN
cana-3264	36	17	pseudomodular	pseudomodular	PROPN
cana-3264	36	18	if	if	SCONJ
cana-3264	36	19	(	(	PUNCT
cana-3264	36	20	i	i	NOUN
cana-3264	36	21	)	)	PUNCT
cana-3264	36	22	;	;	PUNCT
cana-3264	36	23	(	(	PUNCT
cana-3264	36	24	ii	ii	NOUN
cana-3264	36	25	)	)	PUNCT
cana-3264	36	26	for	for	ADP
cana-3264	36	27	any	any	DET
cana-3264	36	28	implies	implie	NOUN
cana-3264	36	29	,	,	PUNCT
cana-3264	36	30	where	where	SCONJ
cana-3264	36	31	.	.	PUNCT
cana-3264	37	1	thai	thai	PROPN
cana-3264	37	2	is	be	AUX
cana-3264	37	3	,	,	PUNCT
cana-3264	37	4	is	be	AUX
cana-3264	37	5	monotone	monotone	ADJ
cana-3264	37	6	.	.	PUNCT
cana-3264	38	1	(	(	PUNCT
cana-3264	38	2	iii	iii	X
cana-3264	38	3	)	)	PUNCT
cana-3264	38	4	for	for	ADP
cana-3264	38	5	any	any	DET
cana-3264	38	6	such	such	ADJ
cana-3264	38	7	that	that	PRON
cana-3264	38	8	,	,	PUNCT
cana-3264	38	9	.	.	PUNCT
cana-3264	39	1	that	that	PRON
cana-3264	39	2	is	be	AUX
cana-3264	39	3	,	,	PUNCT
cana-3264	39	4	is	be	AUX
cana-3264	39	5	orthogonally	orthogonally	ADV
cana-3264	39	6	sub	sub	ADJ
cana-3264	39	7	-	-	NOUN
cana-3264	39	8	additive	additive	ADJ
cana-3264	39	9	.	.	PUNCT
cana-3264	40	1	communications	communication	NOUN
cana-3264	40	2	on	on	ADP
cana-3264	40	3	applied	apply	VERB
cana-3264	40	4	nonlinear	nonlinear	ADJ
cana-3264	40	5	analysis	analysis	NOUN
cana-3264	40	6	issn	issn	NOUN
cana-3264	40	7	:	:	PUNCT
cana-3264	40	8	1074	1074	NUM
cana-3264	40	9	-	-	PUNCT
cana-3264	40	10	133x	133x	NUM
cana-3264	40	11	vol	vol	NOUN
cana-3264	40	12	32	32	NUM
cana-3264	40	13	no	no	NOUN
cana-3264	40	14	.	.	PUNCT
cana-3264	41	1	6s	6s	NUM
cana-3264	41	2	(	(	PUNCT
cana-3264	41	3	2025	2025	NUM
cana-3264	41	4	)	)	PUNCT
cana-3264	41	5	82	82	NUM
cana-3264	42	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-3264	42	2	(	(	PUNCT
cana-3264	42	3	iv	iv	X
cana-3264	42	4	)	)	PUNCT
cana-3264	42	5	for	for	ADP
cana-3264	42	6	all	all	DET
cana-3264	42	7	implies	implie	NOUN
cana-3264	42	8	,	,	PUNCT
cana-3264	42	9	where	where	SCONJ
cana-3264	42	10	.	.	PUNCT
cana-3264	43	1	that	that	PRON
cana-3264	43	2	is	is	ADV
cana-3264	43	3	,	,	PUNCT
cana-3264	43	4	has	have	VERB
cana-3264	43	5	fatou	fatou	NOUN
cana-3264	43	6	property	property	NOUN
cana-3264	43	7	.	.	PUNCT
cana-3264	44	1	(	(	PUNCT
cana-3264	44	2	v	v	NOUN
cana-3264	44	3	)	)	PUNCT
cana-3264	44	4	,	,	PUNCT
cana-3264	44	5	and	and	CCONJ
cana-3264	44	6	implies	imply	VERB
cana-3264	44	7	.	.	PUNCT
cana-3264	45	1	that	that	PRON
cana-3264	45	2	is	be	AUX
cana-3264	45	3	is	be	AUX
cana-3264	45	4	order	order	NOUN
cana-3264	45	5	continuous	continuous	ADJ
cana-3264	45	6	in	in	ADP
cana-3264	45	7	.	.	PUNCT
cana-3264	46	1	a	a	DET
cana-3264	46	2	set	set	NOUN
cana-3264	46	3	is	be	AUX
cana-3264	46	4	if	if	SCONJ
cana-3264	46	5	.	.	PUNCT
cana-3264	47	1	a	a	DET
cana-3264	47	2	property	property	NOUN
cana-3264	47	3	is	be	AUX
cana-3264	47	4	-almost	-almost	VERB
cana-3264	47	5	everywhere	everywhere	ADV
cana-3264	47	6	if	if	SCONJ
cana-3264	47	7	is	be	AUX
cana-3264	47	8	.	.	PUNCT
cana-3264	48	1	definition	definition	NOUN
cana-3264	48	2	2.4	2.4	NUM
cana-3264	48	3	.	.	PUNCT
cana-3264	49	1	[	[	X
cana-3264	49	2	12	12	NUM
cana-3264	49	3	]	]	PUNCT
cana-3264	49	4	a	a	DET
cana-3264	49	5	regular	regular	ADJ
cana-3264	49	6	function	function	NOUN
cana-3264	49	7	pseudomodular	pseudomodular	NOUN
cana-3264	49	8	is	be	AUX
cana-3264	49	9	called	call	VERB
cana-3264	49	10	a	a	DET
cana-3264	49	11	regular	regular	ADJ
cana-3264	49	12	convex	convex	NOUN
cana-3264	49	13	function	function	NOUN
cana-3264	49	14	modular	modular	NOUN
cana-3264	49	15	if	if	SCONJ
cana-3264	49	16	let	let	AUX
cana-3264	49	17	be	be	AUX
cana-3264	49	18	the	the	DET
cana-3264	49	19	class	class	NOUN
cana-3264	49	20	of	of	ADP
cana-3264	49	21	all	all	DET
cana-3264	49	22	non	non	ADJ
cana-3264	49	23	-	-	ADJ
cana-3264	49	24	zero	zero	ADJ
cana-3264	49	25	regular	regular	ADJ
cana-3264	49	26	convex	convex	NOUN
cana-3264	49	27	function	function	NOUN
cana-3264	49	28	modular	modular	ADJ
cana-3264	49	29	on	on	ADP
cana-3264	49	30	.	.	PUNCT
cana-3264	50	1	for	for	ADP
cana-3264	50	2	,	,	PUNCT
cana-3264	50	3	define	define	VERB
cana-3264	50	4	and	and	CCONJ
cana-3264	50	5	.	.	PUNCT
cana-3264	50	6	note	note	VERB
cana-3264	50	7	that	that	PRON
cana-3264	50	8	.	.	PUNCT
cana-3264	51	1	definition	definition	NOUN
cana-3264	51	2	2.5	2.5	NUM
cana-3264	51	3	.	.	PUNCT
cana-3264	52	1	[	[	X
cana-3264	52	2	11	11	NUM
cana-3264	52	3	]	]	PUNCT
cana-3264	52	4	a	a	DET
cana-3264	52	5	satisfy	satisfy	NOUN
cana-3264	52	6	-condition	-condition	NOUN
cana-3264	52	7	if	if	SCONJ
cana-3264	52	8	as	as	SCONJ
cana-3264	52	9	whenever	whenever	SCONJ
cana-3264	52	10	decreases	decrease	NOUN
cana-3264	52	11	to	to	PART
cana-3264	52	12	and	and	CCONJ
cana-3264	52	13	.	.	PUNCT
cana-3264	53	1	holds	hold	VERB
cana-3264	53	2	true	true	ADJ
cana-3264	53	3	if	if	SCONJ
cana-3264	53	4	is	be	AUX
cana-3264	53	5	convex	convex	ADJ
cana-3264	53	6	and	and	CCONJ
cana-3264	53	7	satisfies	satisfie	NOUN
cana-3264	53	8	-condition	-condition	PROPN
cana-3264	53	9	.	.	PUNCT
cana-3264	54	1	let	let	VERB
cana-3264	54	2	.	.	PUNCT
cana-3264	55	1	let	let	VERB
cana-3264	55	2	.	.	PUNCT
cana-3264	56	1	define	define	VERB
cana-3264	56	2	.	.	PUNCT
cana-3264	57	1	let	let	VERB
cana-3264	57	2	if	if	SCONJ
cana-3264	57	3	and	and	CCONJ
cana-3264	57	4	if	if	SCONJ
cana-3264	57	5	.	.	PUNCT
cana-3264	58	1	definition	definition	NOUN
cana-3264	58	2	2.6	2.6	NUM
cana-3264	58	3	.	.	PUNCT
cana-3264	59	1	[	[	X
cana-3264	59	2	8	8	NUM
cana-3264	59	3	]	]	X
cana-3264	59	4	a	a	DET
cana-3264	59	5	satisfy	satisfy	NOUN
cana-3264	59	6	(	(	PUNCT
cana-3264	59	7	uc1	uc1	PROPN
cana-3264	59	8	)	)	PUNCT
cana-3264	59	9	if	if	SCONJ
cana-3264	59	10	,	,	PUNCT
cana-3264	59	11	we	we	PRON
cana-3264	59	12	have	have	VERB
cana-3264	59	13	.	.	PUNCT
cana-3264	60	1	note	note	VERB
cana-3264	60	2	that	that	SCONJ
cana-3264	60	3	for	for	ADP
cana-3264	60	4	small	small	ADJ
cana-3264	60	5	enough	enough	ADV
cana-3264	60	6	.	.	PUNCT
cana-3264	61	1	definition	definition	NOUN
cana-3264	61	2	2.7	2.7	NUM
cana-3264	61	3	.	.	PUNCT
cana-3264	62	1	[	[	X
cana-3264	62	2	8	8	NUM
cana-3264	62	3	]	]	X
cana-3264	62	4	a	a	DET
cana-3264	62	5	satisfy	satisfy	NOUN
cana-3264	62	6	(	(	PUNCT
cana-3264	62	7	uuc1	uuc1	PROPN
cana-3264	62	8	)	)	PUNCT
cana-3264	62	9	if	if	SCONJ
cana-3264	62	10	,	,	PUNCT
cana-3264	62	11	depending	depend	VERB
cana-3264	62	12	only	only	ADV
cana-3264	62	13	upon	upon	SCONJ
cana-3264	62	14	and	and	CCONJ
cana-3264	62	15	such	such	ADJ
cana-3264	62	16	that	that	PRON
cana-3264	62	17	for	for	ADP
cana-3264	62	18	any	any	PRON
cana-3264	62	19	.	.	PUNCT
cana-3264	63	1	definition	definition	NOUN
cana-3264	63	2	2.8	2.8	NUM
cana-3264	63	3	.	.	PUNCT
cana-3264	64	1	[	[	X
cana-3264	64	2	12	12	NUM
cana-3264	64	3	]	]	X
cana-3264	64	4	let	let	NOUN
cana-3264	64	5	and	and	CCONJ
cana-3264	64	6	.	.	PUNCT
cana-3264	65	1	(	(	PUNCT
cana-3264	65	2	i	i	NOUN
cana-3264	65	3	)	)	PUNCT
cana-3264	65	4	is	be	AUX
cana-3264	65	5	-convergent	-convergent	ADJ
cana-3264	65	6	to	to	AUX
cana-3264	65	7	if	if	SCONJ
cana-3264	65	8	.	.	PUNCT
cana-3264	66	1	(	(	PUNCT
cana-3264	66	2	ii	ii	NOUN
cana-3264	66	3	)	)	PUNCT
cana-3264	66	4	is	be	AUX
cana-3264	66	5	-cauchy	-cauchy	ADJ
cana-3264	66	6	,	,	PUNCT
cana-3264	66	7	if	if	SCONJ
cana-3264	66	8	.	.	PUNCT
cana-3264	67	1	(	(	PUNCT
cana-3264	67	2	iii	iii	X
cana-3264	67	3	)	)	PUNCT
cana-3264	67	4	is	be	AUX
cana-3264	67	5	-closed	-close	VERB
cana-3264	67	6	if	if	SCONJ
cana-3264	67	7	for	for	ADP
cana-3264	67	8	,	,	PUNCT
cana-3264	67	9	implies	implie	NOUN
cana-3264	67	10	.	.	PUNCT
cana-3264	68	1	communications	communication	NOUN
cana-3264	68	2	on	on	ADP
cana-3264	68	3	applied	apply	VERB
cana-3264	68	4	nonlinear	nonlinear	ADJ
cana-3264	68	5	analysis	analysis	NOUN
cana-3264	68	6	issn	issn	NOUN
cana-3264	68	7	:	:	PUNCT
cana-3264	68	8	1074	1074	NUM
cana-3264	68	9	-	-	PUNCT
cana-3264	68	10	133x	133x	NUM
cana-3264	68	11	vol	vol	NOUN
cana-3264	68	12	32	32	NUM
cana-3264	68	13	no	no	NOUN
cana-3264	68	14	.	.	PUNCT
cana-3264	69	1	6s	6s	NUM
cana-3264	69	2	(	(	PUNCT
cana-3264	69	3	2025	2025	NUM
cana-3264	69	4	)	)	PUNCT
cana-3264	69	5	83	83	NUM
cana-3264	69	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3264	69	7	(	(	PUNCT
cana-3264	69	8	iv	iv	X
cana-3264	69	9	)	)	PUNCT
cana-3264	69	10	is	be	AUX
cana-3264	69	11	-compact	-compact	ADJ
cana-3264	69	12	if	if	SCONJ
cana-3264	69	13	for	for	ADP
cana-3264	69	14	,	,	PUNCT
cana-3264	69	15	there	there	PRON
cana-3264	69	16	is	be	VERB
cana-3264	69	17	a	a	DET
cana-3264	69	18	subsequence	subsequence	NOUN
cana-3264	69	19	of	of	ADP
cana-3264	69	20	and	and	CCONJ
cana-3264	69	21	such	such	ADJ
cana-3264	69	22	that	that	PRON
cana-3264	69	23	as	as	ADP
cana-3264	69	24	.	.	PUNCT
cana-3264	70	1	(	(	PUNCT
cana-3264	70	2	v	v	NOUN
cana-3264	70	3	)	)	PUNCT
cana-3264	70	4	is	be	AUX
cana-3264	70	5	closed	close	VERB
cana-3264	70	6	if	if	SCONJ
cana-3264	70	7	for	for	SCONJ
cana-3264	70	8	which	which	PRON
cana-3264	70	9	is	be	AUX
cana-3264	70	10	convergent	convergent	ADJ
cana-3264	70	11	,	,	PUNCT
cana-3264	70	12	as	as	ADP
cana-3264	70	13	implies	implie	NOUN
cana-3264	70	14	.	.	PUNCT
cana-3264	71	1	(	(	PUNCT
cana-3264	71	2	vi	vi	X
cana-3264	71	3	)	)	PUNCT
cana-3264	71	4	is	be	AUX
cana-3264	71	5	compact	compact	ADJ
cana-3264	71	6	if	if	SCONJ
cana-3264	71	7	for	for	ADP
cana-3264	71	8	,	,	PUNCT
cana-3264	71	9	a	a	DET
cana-3264	71	10	subsequence	subsequence	NOUN
cana-3264	71	11	of	of	ADP
cana-3264	71	12	and	and	CCONJ
cana-3264	71	13	exist	exist	VERB
cana-3264	71	14	such	such	ADJ
cana-3264	71	15	that	that	PRON
cana-3264	71	16	as	as	ADP
cana-3264	71	17	.	.	PUNCT
cana-3264	72	1	(	(	PUNCT
cana-3264	72	2	vii	vii	PROPN
cana-3264	72	3	)	)	PUNCT
cana-3264	72	4	is	be	AUX
cana-3264	72	5	-bounded	-bounded	ADJ
cana-3264	72	6	if	if	SCONJ
cana-3264	72	7	the	the	DET
cana-3264	72	8	-diameter	-diameter	NOUN
cana-3264	72	9	of	of	ADP
cana-3264	72	10	is	be	AUX
cana-3264	72	11	finite	finite	ADJ
cana-3264	72	12	,	,	PUNCT
cana-3264	72	13	that	that	ADV
cana-3264	72	14	is	be	AUX
cana-3264	72	15	.	.	PUNCT
cana-3264	73	1	-convergence	-convergence	PROPN
cana-3264	73	2	does	do	AUX
cana-3264	73	3	not	not	PART
cana-3264	73	4	imply	imply	VERB
cana-3264	73	5	-cauchy	-cauchy	ADJ
cana-3264	73	6	.	.	PUNCT
cana-3264	74	1	if	if	SCONJ
cana-3264	74	2	satisfy	satisfy	VERB
cana-3264	74	3	the	the	DET
cana-3264	74	4	-condition	-condition	NOUN
cana-3264	74	5	,	,	PUNCT
cana-3264	74	6	then	then	ADV
cana-3264	74	7	this	this	PRON
cana-3264	74	8	will	will	AUX
cana-3264	74	9	be	be	AUX
cana-3264	74	10	true	true	ADJ
cana-3264	74	11	.	.	PUNCT
cana-3264	75	1	the	the	DET
cana-3264	75	2	-distance	-distance	NOUN
cana-3264	75	3	from	from	ADP
cana-3264	75	4	to	to	ADP
cana-3264	75	5	is	be	AUX
cana-3264	75	6	defined	define	VERB
cana-3264	75	7	by	by	ADP
cana-3264	75	8	.	.	PUNCT
cana-3264	76	1	definition	definition	NOUN
cana-3264	76	2	2.9	2.9	NUM
cana-3264	76	3	.	.	PUNCT
cana-3264	77	1	[	[	X
cana-3264	77	2	10	10	NUM
cana-3264	77	3	]	]	X
cana-3264	77	4	a	a	DET
cana-3264	77	5	set	set	NOUN
cana-3264	77	6	is	be	AUX
cana-3264	77	7	called	call	VERB
cana-3264	77	8	-proximinal	-proximinal	ADJ
cana-3264	77	9	if	if	SCONJ
cana-3264	77	10	,	,	PUNCT
cana-3264	77	11	such	such	ADJ
cana-3264	77	12	that	that	PRON
cana-3264	77	13	.	.	PUNCT
cana-3264	78	1	let	let	AUX
cana-3264	78	2	be	be	AUX
cana-3264	78	3	the	the	DET
cana-3264	78	4	family	family	NOUN
cana-3264	78	5	of	of	ADP
cana-3264	78	6	non	non	ADJ
cana-3264	78	7	-	-	ADJ
cana-3264	78	8	empty	empty	ADJ
cana-3264	78	9	,	,	PUNCT
cana-3264	78	10	-bounded	-bounded	ADJ
cana-3264	78	11	,	,	PUNCT
cana-3264	78	12	-proximinal	-proximinal	ADJ
cana-3264	78	13	subsets	subset	NOUN
cana-3264	78	14	of	of	ADP
cana-3264	78	15	and	and	CCONJ
cana-3264	78	16	be	be	AUX
cana-3264	78	17	the	the	DET
cana-3264	78	18	family	family	NOUN
cana-3264	78	19	of	of	ADP
cana-3264	78	20	non	non	ADJ
cana-3264	78	21	-	-	ADJ
cana-3264	78	22	empty	empty	ADJ
cana-3264	78	23	,	,	PUNCT
cana-3264	78	24	-closed	-closed	ADJ
cana-3264	78	25	,	,	PUNCT
cana-3264	78	26	-bounded	-bounded	ADJ
cana-3264	78	27	subsets	subset	NOUN
cana-3264	78	28	of	of	ADP
cana-3264	78	29	.	.	PUNCT
cana-3264	79	1	we	we	PRON
cana-3264	79	2	define	define	VERB
cana-3264	79	3	-hausdorff	-hausdorff	ADJ
cana-3264	79	4	distance	distance	NOUN
cana-3264	79	5	on	on	ADP
cana-3264	79	6	as	as	ADP
cana-3264	79	7	.	.	PUNCT
cana-3264	79	8	definition	definition	NOUN
cana-3264	79	9	2.10	2.10	NUM
cana-3264	79	10	.	.	PUNCT
cana-3264	80	1	[	[	X
cana-3264	80	2	10	10	NUM
cana-3264	80	3	]	]	X
cana-3264	80	4	a	a	DET
cana-3264	80	5	multivalued	multivalue	VERB
cana-3264	80	6	mapping	mapping	NOUN
cana-3264	80	7	is	be	AUX
cana-3264	80	8	(	(	PUNCT
cana-3264	80	9	i	i	NOUN
cana-3264	80	10	)	)	PUNCT
cana-3264	80	11	-nonexpansive	-nonexpansive	ADJ
cana-3264	80	12	if	if	SCONJ
cana-3264	80	13	.	.	PUNCT
cana-3264	81	1	(	(	PUNCT
cana-3264	81	2	ii	ii	NOUN
cana-3264	81	3	)	)	PUNCT
cana-3264	81	4	-quasi	-quasi	PROPN
cana-3264	81	5	-	-	PUNCT
cana-3264	81	6	nonexpansive	nonexpansive	ADJ
cana-3264	81	7	if	if	SCONJ
cana-3264	81	8	.	.	PUNCT
cana-3264	82	1	theorem	theorem	VERB
cana-3264	82	2	2.11	2.11	NUM
cana-3264	82	3	.	.	PUNCT
cana-3264	83	1	[	[	X
cana-3264	83	2	6	6	NUM
cana-3264	83	3	]	]	PUNCT
cana-3264	83	4	let	let	AUX
cana-3264	83	5	satisfy	satisfy	VERB
cana-3264	83	6	the	the	DET
cana-3264	83	7	-condition	-condition	NOUN
cana-3264	83	8	.	.	PUNCT
cana-3264	84	1	consider	consider	VERB
cana-3264	84	2	the	the	DET
cana-3264	84	3	sequences	sequence	NOUN
cana-3264	84	4	and	and	CCONJ
cana-3264	84	5	in	in	ADP
cana-3264	84	6	then	then	ADV
cana-3264	84	7	implies	imply	VERB
cana-3264	84	8	and	and	CCONJ
cana-3264	84	9	implies	imply	VERB
cana-3264	84	10	communications	communication	NOUN
cana-3264	84	11	on	on	ADP
cana-3264	84	12	applied	apply	VERB
cana-3264	84	13	nonlinear	nonlinear	ADJ
cana-3264	84	14	analysis	analysis	NOUN
cana-3264	84	15	issn	issn	NOUN
cana-3264	84	16	:	:	PUNCT
cana-3264	84	17	1074	1074	NUM
cana-3264	84	18	-	-	PUNCT
cana-3264	84	19	133x	133x	NUM
cana-3264	84	20	vol	vol	NOUN
cana-3264	84	21	32	32	NUM
cana-3264	84	22	no	no	NOUN
cana-3264	84	23	.	.	PUNCT
cana-3264	85	1	6s	6s	NUM
cana-3264	85	2	(	(	PUNCT
cana-3264	85	3	2025	2025	NUM
cana-3264	85	4	)	)	PUNCT
cana-3264	85	5	84	84	NUM
cana-3264	85	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3264	85	7	a	a	DET
cana-3264	85	8	sequence	sequence	NOUN
cana-3264	85	9	is	be	AUX
cana-3264	85	10	bounded	bound	VERB
cana-3264	85	11	away	away	ADV
cana-3264	85	12	from	from	ADP
cana-3264	85	13	if	if	SCONJ
cana-3264	85	14	such	such	ADJ
cana-3264	85	15	that	that	PRON
cana-3264	85	16	,	,	PUNCT
cana-3264	85	17	and	and	CCONJ
cana-3264	85	18	is	be	AUX
cana-3264	85	19	bounded	bound	VERB
cana-3264	85	20	away	away	ADV
cana-3264	85	21	from	from	ADP
cana-3264	85	22	if	if	SCONJ
cana-3264	85	23	such	such	ADJ
cana-3264	85	24	that	that	PRON
cana-3264	85	25	.	.	PUNCT
cana-3264	86	1	lemma	lemma	PROPN
cana-3264	86	2	2.12	2.12	NUM
cana-3264	86	3	.	.	PUNCT
cana-3264	87	1	[	[	X
cana-3264	87	2	3	3	NUM
cana-3264	87	3	,	,	PUNCT
cana-3264	87	4	8	8	NUM
cana-3264	87	5	]	]	PUNCT
cana-3264	87	6	let	let	VERB
cana-3264	87	7	(	(	PUNCT
cana-3264	87	8	uuc1	uuc1	PROPN
cana-3264	87	9	)	)	PUNCT
cana-3264	87	10	be	be	AUX
cana-3264	87	11	satisfied	satisfy	VERB
cana-3264	87	12	by	by	ADP
cana-3264	87	13	,	,	PUNCT
cana-3264	87	14	and	and	CCONJ
cana-3264	87	15	be	be	AUX
cana-3264	87	16	bounded	bound	VERB
cana-3264	87	17	away	away	ADV
cana-3264	87	18	from	from	ADP
cana-3264	87	19	0	0	NUM
cana-3264	87	20	and	and	CCONJ
cana-3264	87	21	1	1	NUM
cana-3264	87	22	.	.	X
cana-3264	88	1	if	if	SCONJ
cana-3264	88	2	such	such	ADJ
cana-3264	88	3	that	that	PRON
cana-3264	88	4	,	,	PUNCT
cana-3264	88	5	and	and	CCONJ
cana-3264	88	6	,	,	PUNCT
cana-3264	88	7	then	then	ADV
cana-3264	88	8	.	.	PUNCT
cana-3264	89	1	definition	definition	NOUN
cana-3264	89	2	2.13	2.13	NUM
cana-3264	89	3	.	.	PUNCT
cana-3264	89	4	is	be	AUX
cana-3264	89	5	a	a	DET
cana-3264	89	6	fixed	fix	VERB
cana-3264	89	7	point	point	NOUN
cana-3264	89	8	of	of	ADP
cana-3264	89	9	if	if	SCONJ
cana-3264	89	10	.	.	PUNCT
cana-3264	90	1	let	let	AUX
cana-3264	90	2	be	be	AUX
cana-3264	90	3	the	the	DET
cana-3264	90	4	set	set	NOUN
cana-3264	90	5	of	of	ADP
cana-3264	90	6	all	all	DET
cana-3264	90	7	fixed	fix	VERB
cana-3264	90	8	points	point	NOUN
cana-3264	90	9	of	of	ADP
cana-3264	90	10	.	.	PUNCT
cana-3264	91	1	definition	definition	NOUN
cana-3264	91	2	2.14	2.14	NUM
cana-3264	91	3	.	.	PUNCT
cana-3264	92	1	[	[	X
cana-3264	92	2	11	11	NUM
cana-3264	92	3	]	]	PUNCT
cana-3264	92	4	a	a	DET
cana-3264	92	5	multivalued	multivalue	VERB
cana-3264	92	6	mapping	mapping	NOUN
cana-3264	92	7	satisfy	satisfy	NOUN
cana-3264	92	8	if	if	SCONJ
cana-3264	92	9	there	there	PRON
cana-3264	92	10	exists	exist	VERB
cana-3264	92	11	a	a	DET
cana-3264	92	12	continuous	continuous	ADJ
cana-3264	92	13	non	non	ADJ
cana-3264	92	14	-	-	ADJ
cana-3264	92	15	decreasing	decrease	VERB
cana-3264	92	16	function	function	NOUN
cana-3264	92	17	with	with	ADP
cana-3264	92	18	such	such	ADJ
cana-3264	92	19	that	that	PRON
cana-3264	92	20	.	.	PUNCT
cana-3264	93	1	lemma	lemma	PROPN
cana-3264	93	2	2.15	2.15	NUM
cana-3264	93	3	.	.	PUNCT
cana-3264	94	1	[	[	X
cana-3264	94	2	12	12	NUM
cana-3264	94	3	]	]	PUNCT
cana-3264	94	4	for	for	ADP
cana-3264	94	5	a	a	DET
cana-3264	94	6	multivalued	multivalue	VERB
cana-3264	94	7	mapping	mapping	NOUN
cana-3264	94	8	with	with	ADP
cana-3264	94	9	,	,	PUNCT
cana-3264	94	10	the	the	DET
cana-3264	94	11	following	follow	VERB
cana-3264	94	12	statements	statement	NOUN
cana-3264	94	13	are	be	AUX
cana-3264	94	14	equivalent	equivalent	ADJ
cana-3264	94	15	:	:	PUNCT
cana-3264	94	16	(	(	PUNCT
cana-3264	94	17	i	i	NOUN
cana-3264	94	18	)	)	PUNCT
cana-3264	94	19	,	,	PUNCT
cana-3264	94	20	i.e.	i.e.	X
cana-3264	94	21	,	,	PUNCT
cana-3264	94	22	.	.	PUNCT
cana-3264	95	1	(	(	PUNCT
cana-3264	95	2	ii	ii	NOUN
cana-3264	95	3	)	)	PUNCT
cana-3264	95	4	,	,	PUNCT
cana-3264	95	5	i.e	i.e	X
cana-3264	95	6	,	,	PUNCT
cana-3264	95	7	for	for	ADP
cana-3264	95	8	each	each	PRON
cana-3264	95	9	.	.	PUNCT
cana-3264	96	1	(	(	PUNCT
cana-3264	96	2	iii	iii	NOUN
cana-3264	96	3	)	)	PUNCT
cana-3264	96	4	,	,	PUNCT
cana-3264	96	5	i.e	i.e	PROPN
cana-3264	96	6	,	,	PUNCT
cana-3264	96	7	.	.	PUNCT
cana-3264	97	1	also	also	ADV
cana-3264	97	2	,	,	PUNCT
cana-3264	97	3	,	,	PUNCT
cana-3264	97	4	with	with	ADP
cana-3264	97	5	being	be	AUX
cana-3264	97	6	the	the	DET
cana-3264	97	7	set	set	NOUN
cana-3264	97	8	of	of	ADP
cana-3264	97	9	fixed	fix	VERB
cana-3264	97	10	points	point	NOUN
cana-3264	97	11	of	of	ADP
cana-3264	97	12	.	.	PUNCT
cana-3264	98	1	definition	definition	NOUN
cana-3264	98	2	2.16	2.16	NUM
cana-3264	98	3	.	.	PUNCT
cana-3264	99	1	[	[	X
cana-3264	99	2	8	8	NUM
cana-3264	99	3	]	]	PUNCT
cana-3264	99	4	a	a	DET
cana-3264	99	5	set	set	NOUN
cana-3264	99	6	is	be	AUX
cana-3264	99	7	said	say	VERB
cana-3264	99	8	to	to	PART
cana-3264	99	9	possess	possess	VERB
cana-3264	99	10	the	the	DET
cana-3264	99	11	vitali	vitali	PROPN
cana-3264	99	12	property	property	NOUN
cana-3264	99	13	if	if	SCONJ
cana-3264	99	14	,	,	PUNCT
cana-3264	99	15	and	and	CCONJ
cana-3264	99	16	for	for	ADP
cana-3264	99	17	any	any	PRON
cana-3264	99	18	and	and	CCONJ
cana-3264	99	19	with	with	ADP
cana-3264	99	20	,	,	PUNCT
cana-3264	99	21	there	there	PRON
cana-3264	99	22	exists	exist	VERB
cana-3264	99	23	a	a	DET
cana-3264	99	24	subsequence	subsequence	NOUN
cana-3264	99	25	of	of	ADP
cana-3264	99	26	such	such	ADJ
cana-3264	99	27	that	that	PRON
cana-3264	99	28	for	for	SCONJ
cana-3264	99	29	every	every	DET
cana-3264	99	30	the	the	DET
cana-3264	99	31	subadditive	subadditive	ADJ
cana-3264	99	32	measures	measure	NOUN
cana-3264	99	33	are	be	AUX
cana-3264	99	34	order	order	NOUN
cana-3264	99	35	equicontinuous	equicontinuous	ADJ
cana-3264	99	36	.	.	PUNCT
cana-3264	100	1	definition	definition	NOUN
cana-3264	100	2	2.17	2.17	NUM
cana-3264	100	3	.	.	PUNCT
cana-3264	101	1	[	[	X
cana-3264	101	2	8	8	X
cana-3264	101	3	]	]	PUNCT
cana-3264	101	4	the	the	DET
cana-3264	101	5	function	function	NOUN
cana-3264	101	6	modular	modular	NOUN
cana-3264	101	7	is	be	AUX
cana-3264	101	8	called	call	VERB
cana-3264	101	9	separable	separable	ADJ
cana-3264	101	10	if	if	SCONJ
cana-3264	101	11	is	be	AUX
cana-3264	101	12	a	a	DET
cana-3264	101	13	separable	separable	ADJ
cana-3264	101	14	set	set	VERB
cana-3264	101	15	function	function	NOUN
cana-3264	101	16	for	for	ADP
cana-3264	101	17	each	each	PRON
cana-3264	101	18	,	,	PUNCT
cana-3264	101	19	which	which	PRON
cana-3264	101	20	means	mean	VERB
cana-3264	101	21	that	that	SCONJ
cana-3264	101	22	there	there	PRON
cana-3264	101	23	exists	exist	VERB
cana-3264	101	24	a	a	DET
cana-3264	101	25	countable	countable	ADJ
cana-3264	101	26	such	such	ADJ
cana-3264	101	27	that	that	PRON
cana-3264	101	28	to	to	ADP
cana-3264	101	29	every	every	DET
cana-3264	101	30	there	there	NOUN
cana-3264	101	31	corresponds	correspond	VERB
cana-3264	101	32	a	a	DET
cana-3264	101	33	sequence	sequence	NOUN
cana-3264	101	34	of	of	ADP
cana-3264	101	35	elements	element	NOUN
cana-3264	101	36	of	of	ADP
cana-3264	101	37	with	with	ADP
cana-3264	101	38	for	for	ADP
cana-3264	101	39	every	every	PRON
cana-3264	101	40	,	,	PUNCT
cana-3264	101	41	where	where	SCONJ
cana-3264	101	42	denotes	denote	VERB
cana-3264	101	43	the	the	DET
cana-3264	101	44	symmetric	symmetric	ADJ
cana-3264	101	45	difference	difference	NOUN
cana-3264	101	46	.	.	PUNCT
cana-3264	102	1	communications	communication	NOUN
cana-3264	102	2	on	on	ADP
cana-3264	102	3	applied	apply	VERB
cana-3264	102	4	nonlinear	nonlinear	ADJ
cana-3264	102	5	analysis	analysis	NOUN
cana-3264	102	6	issn	issn	NOUN
cana-3264	102	7	:	:	PUNCT
cana-3264	102	8	1074	1074	NUM
cana-3264	102	9	-	-	PUNCT
cana-3264	102	10	133x	133x	NUM
cana-3264	102	11	vol	vol	NOUN
cana-3264	102	12	32	32	NUM
cana-3264	102	13	no	no	NOUN
cana-3264	102	14	.	.	PUNCT
cana-3264	103	1	6s	6s	NUM
cana-3264	103	2	(	(	PUNCT
cana-3264	103	3	2025	2025	NUM
cana-3264	103	4	)	)	PUNCT
cana-3264	103	5	85	85	NUM
cana-3264	103	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3264	103	7	3	3	X
cana-3264	103	8	.	.	X
cana-3264	103	9	convergence	convergence	NOUN
cana-3264	103	10	analysis	analysis	NOUN
cana-3264	103	11	the	the	DET
cana-3264	103	12	picard	picard	NOUN
cana-3264	103	13	-	-	PUNCT
cana-3264	103	14	abbas	abbas	PROPN
cana-3264	103	15	iteration	iteration	NOUN
cana-3264	103	16	for	for	ADP
cana-3264	103	17	singlevalued	singlevalue	VERB
cana-3264	103	18	mappings	mapping	NOUN
cana-3264	103	19	was	be	AUX
cana-3264	103	20	introduced	introduce	VERB
cana-3264	103	21	by	by	ADP
cana-3264	103	22	chyne	chyne	PROPN
cana-3264	103	23	and	and	CCONJ
cana-3264	103	24	kumar	kumar	PROPN
cana-3264	104	1	[	[	X
cana-3264	104	2	11	11	NUM
cana-3264	104	3	]	]	PUNCT
cana-3264	104	4	.	.	PUNCT
cana-3264	105	1	we	we	PRON
cana-3264	105	2	define	define	VERB
cana-3264	105	3	the	the	DET
cana-3264	105	4	picard	picard	NOUN
cana-3264	105	5	-	-	PUNCT
cana-3264	105	6	abbas	abbas	PROPN
cana-3264	105	7	iteration	iteration	NOUN
cana-3264	105	8	for	for	ADP
cana-3264	105	9	multivalued	multivalued	ADJ
cana-3264	105	10	mapping	mapping	NOUN
cana-3264	105	11	as	as	SCONJ
cana-3264	105	12	follows	follow	VERB
cana-3264	105	13	:	:	PUNCT
cana-3264	105	14	where	where	SCONJ
cana-3264	105	15	are	be	AUX
cana-3264	105	16	real	real	ADJ
cana-3264	105	17	sequences	sequence	NOUN
cana-3264	105	18	in	in	ADP
cana-3264	105	19	,	,	PUNCT
cana-3264	105	20	and	and	CCONJ
cana-3264	105	21	.	.	PUNCT
cana-3264	105	22	theorem	theorem	VERB
cana-3264	105	23	3.1	3.1	NUM
cana-3264	105	24	.	.	PUNCT
cana-3264	106	1	let	let	VERB
cana-3264	106	2	-condition	-condition	PROPN
cana-3264	106	3	and	and	CCONJ
cana-3264	106	4	(	(	PUNCT
cana-3264	106	5	uuc1	uuc1	PROPN
cana-3264	106	6	)	)	PUNCT
cana-3264	106	7	be	be	AUX
cana-3264	106	8	satisfied	satisfy	VERB
cana-3264	106	9	by	by	ADP
cana-3264	106	10	.	.	PUNCT
cana-3264	107	1	let	let	AUX
cana-3264	107	2	be	be	AUX
cana-3264	107	3	-bounded	-bounde	VERB
cana-3264	107	4	,	,	PUNCT
cana-3264	107	5	closed	closed	ADJ
cana-3264	107	6	,	,	PUNCT
cana-3264	107	7	and	and	CCONJ
cana-3264	107	8	convex	convex	VERB
cana-3264	107	9	in	in	ADP
cana-3264	107	10	.	.	PUNCT
cana-3264	108	1	consider	consider	VERB
cana-3264	108	2	a	a	DET
cana-3264	108	3	multivalued	multivalue	VERB
cana-3264	108	4	mapping	mapping	NOUN
cana-3264	108	5	with	with	ADP
cana-3264	108	6	being	be	AUX
cana-3264	108	7	a	a	DET
cana-3264	108	8	quasi	quasi	ADJ
cana-3264	108	9	-	-	ADJ
cana-3264	108	10	nonexpansive	nonexpansive	ADJ
cana-3264	108	11	mapping	mapping	NOUN
cana-3264	108	12	,	,	PUNCT
cana-3264	108	13	and	and	CCONJ
cana-3264	108	14	.	.	PUNCT
cana-3264	109	1	if	if	SCONJ
cana-3264	109	2	be	be	AUX
cana-3264	109	3	defined	define	VERB
cana-3264	109	4	by	by	ADP
cana-3264	109	5	(	(	PUNCT
cana-3264	109	6	3.1	3.1	NUM
cana-3264	109	7	)	)	PUNCT
cana-3264	109	8	,	,	PUNCT
cana-3264	109	9	then	then	ADV
cana-3264	109	10	exists	exist	VERB
cana-3264	109	11	for	for	ADP
cana-3264	109	12	all	all	PRON
cana-3264	109	13	.	.	PUNCT
cana-3264	110	1	proof	proof	NOUN
cana-3264	110	2	.	.	PUNCT
cana-3264	111	1	let	let	VERB
cana-3264	111	2	.	.	PUNCT
cana-3264	112	1	using	use	VERB
cana-3264	112	2	lemma	lemma	PROPN
cana-3264	112	3	2.15	2.15	NUM
cana-3264	112	4	,	,	PUNCT
cana-3264	112	5	we	we	PRON
cana-3264	112	6	get	get	AUX
cana-3264	112	7	using	use	VERB
cana-3264	112	8	(	(	PUNCT
cana-3264	112	9	3.5	3.5	NUM
cana-3264	112	10	)	)	PUNCT
cana-3264	112	11	in	in	ADP
cana-3264	112	12	(	(	PUNCT
cana-3264	112	13	3.4	3.4	NUM
cana-3264	112	14	)	)	PUNCT
cana-3264	112	15	,	,	PUNCT
cana-3264	112	16	we	we	PRON
cana-3264	112	17	get	get	VERB
cana-3264	112	18	communications	communication	NOUN
cana-3264	112	19	on	on	ADP
cana-3264	112	20	applied	apply	VERB
cana-3264	112	21	nonlinear	nonlinear	ADJ
cana-3264	112	22	analysis	analysis	NOUN
cana-3264	112	23	issn	issn	NOUN
cana-3264	112	24	:	:	PUNCT
cana-3264	112	25	1074	1074	NUM
cana-3264	112	26	-	-	PUNCT
cana-3264	112	27	133x	133x	NUM
cana-3264	112	28	vol	vol	NOUN
cana-3264	112	29	32	32	NUM
cana-3264	112	30	no	no	NOUN
cana-3264	112	31	.	.	PUNCT
cana-3264	113	1	6s	6s	NUM
cana-3264	113	2	(	(	PUNCT
cana-3264	113	3	2025	2025	NUM
cana-3264	113	4	)	)	PUNCT
cana-3264	113	5	86	86	NUM
cana-3264	113	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3264	113	7	using	use	VERB
cana-3264	113	8	(	(	PUNCT
cana-3264	113	9	3.5	3.5	NUM
cana-3264	113	10	)	)	PUNCT
cana-3264	113	11	and	and	CCONJ
cana-3264	113	12	(	(	PUNCT
cana-3264	113	13	3.6	3.6	NUM
cana-3264	113	14	)	)	PUNCT
cana-3264	113	15	in	in	ADP
cana-3264	113	16	(	(	PUNCT
cana-3264	113	17	3.3	3.3	NUM
cana-3264	113	18	)	)	PUNCT
cana-3264	113	19	,	,	PUNCT
cana-3264	113	20	we	we	PRON
cana-3264	113	21	get	get	VERB
cana-3264	113	22	from	from	ADP
cana-3264	113	23	(	(	PUNCT
cana-3264	113	24	3.2	3.2	NUM
cana-3264	113	25	)	)	PUNCT
cana-3264	113	26	and	and	CCONJ
cana-3264	113	27	(	(	PUNCT
cana-3264	113	28	3.7	3.7	NUM
cana-3264	113	29	)	)	PUNCT
cana-3264	113	30	,	,	PUNCT
cana-3264	113	31	we	we	PRON
cana-3264	113	32	get	get	VERB
cana-3264	113	33	therefore	therefore	ADV
cana-3264	113	34	,	,	PUNCT
cana-3264	113	35	the	the	DET
cana-3264	113	36	sequence	sequence	NOUN
cana-3264	113	37	is	be	AUX
cana-3264	113	38	decreasing	decrease	VERB
cana-3264	113	39	.	.	PUNCT
cana-3264	114	1	thus	thus	ADV
cana-3264	114	2	,	,	PUNCT
cana-3264	114	3	exists	exist	VERB
cana-3264	114	4	for	for	ADP
cana-3264	114	5	all	all	PRON
cana-3264	114	6	.	.	PUNCT
cana-3264	115	1	theorem	theorem	ADJ
cana-3264	115	2	3.2	3.2	NUM
cana-3264	115	3	.	.	PUNCT
cana-3264	116	1	let	let	VERB
cana-3264	116	2	-condition	-condition	PROPN
cana-3264	116	3	and	and	CCONJ
cana-3264	116	4	(	(	PUNCT
cana-3264	116	5	uuc1	uuc1	PROPN
cana-3264	116	6	)	)	PUNCT
cana-3264	116	7	be	be	AUX
cana-3264	116	8	satisfied	satisfy	VERB
cana-3264	116	9	by	by	ADP
cana-3264	116	10	.	.	PUNCT
cana-3264	117	1	let	let	AUX
cana-3264	117	2	be	be	AUX
cana-3264	117	3	-bounded	-bounde	VERB
cana-3264	117	4	,	,	PUNCT
cana-3264	117	5	closed	closed	ADJ
cana-3264	117	6	,	,	PUNCT
cana-3264	117	7	and	and	CCONJ
cana-3264	117	8	convex	convex	VERB
cana-3264	117	9	in	in	ADP
cana-3264	117	10	.	.	PUNCT
cana-3264	118	1	consider	consider	VERB
cana-3264	118	2	a	a	DET
cana-3264	118	3	multivalued	multivalue	VERB
cana-3264	118	4	mapping	mapping	NOUN
cana-3264	118	5	with	with	ADP
cana-3264	118	6	being	be	AUX
cana-3264	118	7	a	a	DET
cana-3264	118	8	quasi	quasi	ADJ
cana-3264	118	9	-	-	ADJ
cana-3264	118	10	nonexpansive	nonexpansive	ADJ
cana-3264	118	11	mapping	mapping	NOUN
cana-3264	118	12	,	,	PUNCT
cana-3264	118	13	and	and	CCONJ
cana-3264	118	14	.	.	PUNCT
cana-3264	119	1	if	if	SCONJ
cana-3264	119	2	be	be	AUX
cana-3264	119	3	defined	define	VERB
cana-3264	119	4	by	by	ADP
cana-3264	119	5	(	(	PUNCT
cana-3264	119	6	3.1	3.1	NUM
cana-3264	119	7	,	,	PUNCT
cana-3264	119	8	then	then	ADV
cana-3264	119	9	.	.	PUNCT
cana-3264	120	1	proof	proof	NOUN
cana-3264	120	2	.	.	PUNCT
cana-3264	121	1	by	by	ADP
cana-3264	121	2	theorem	theorem	NOUN
cana-3264	121	3	3.1	3.1	NUM
cana-3264	121	4	,	,	PUNCT
cana-3264	121	5	exists	exist	VERB
cana-3264	121	6	for	for	ADP
cana-3264	121	7	all	all	PRON
cana-3264	121	8	.	.	PUNCT
cana-3264	122	1	let	let	VERB
cana-3264	122	2	since	since	ADV
cana-3264	122	3	,	,	PUNCT
cana-3264	122	4	it	it	PRON
cana-3264	122	5	suffices	suffice	VERB
cana-3264	122	6	to	to	PART
cana-3264	122	7	show	show	VERB
cana-3264	122	8	that	that	PRON
cana-3264	122	9	.	.	PUNCT
cana-3264	123	1	now	now	ADV
cana-3264	123	2	implies	imply	VERB
cana-3264	123	3	so	so	ADV
cana-3264	123	4	,	,	PUNCT
cana-3264	123	5	(	(	PUNCT
cana-3264	123	6	3.7	3.7	NUM
cana-3264	123	7	)	)	PUNCT
cana-3264	123	8	gives	give	VERB
cana-3264	123	9	also	also	ADV
cana-3264	123	10	,	,	PUNCT
cana-3264	123	11	from	from	ADP
cana-3264	123	12	(	(	PUNCT
cana-3264	123	13	3.5	3.5	NUM
cana-3264	123	14	)	)	PUNCT
cana-3264	123	15	,	,	PUNCT
cana-3264	123	16	we	we	PRON
cana-3264	123	17	get	get	VERB
cana-3264	123	18	so	so	ADV
cana-3264	123	19	,	,	PUNCT
cana-3264	123	20	similarly	similarly	ADV
cana-3264	123	21	,	,	PUNCT
cana-3264	123	22	we	we	PRON
cana-3264	123	23	can	can	AUX
cana-3264	123	24	show	show	VERB
cana-3264	123	25	that	that	PRON
cana-3264	123	26	and	and	CCONJ
cana-3264	123	27	now	now	ADV
cana-3264	123	28	communications	communication	NOUN
cana-3264	123	29	on	on	ADP
cana-3264	123	30	applied	apply	VERB
cana-3264	123	31	nonlinear	nonlinear	ADJ
cana-3264	123	32	analysis	analysis	NOUN
cana-3264	123	33	issn	issn	NOUN
cana-3264	123	34	:	:	PUNCT
cana-3264	123	35	1074	1074	NUM
cana-3264	123	36	-	-	PUNCT
cana-3264	123	37	133x	133x	NUM
cana-3264	123	38	vol	vol	NOUN
cana-3264	123	39	32	32	NUM
cana-3264	123	40	no	no	NOUN
cana-3264	123	41	.	.	PUNCT
cana-3264	124	1	6s	6s	NUM
cana-3264	124	2	(	(	PUNCT
cana-3264	124	3	2025	2025	NUM
cana-3264	124	4	)	)	PUNCT
cana-3264	124	5	87	87	NUM
cana-3264	125	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-3264	125	2	so	so	ADV
cana-3264	125	3	,	,	PUNCT
cana-3264	125	4	similarly	similarly	ADV
cana-3264	125	5	,	,	PUNCT
cana-3264	125	6	we	we	PRON
cana-3264	125	7	can	can	AUX
cana-3264	125	8	show	show	VERB
cana-3264	125	9	that	that	SCONJ
cana-3264	125	10	again	again	ADV
cana-3264	125	11	therefore	therefore	ADV
cana-3264	125	12	,	,	PUNCT
cana-3264	125	13	(	(	PUNCT
cana-3264	125	14	3.12	3.12	NUM
cana-3264	125	15	)	)	PUNCT
cana-3264	125	16	,	,	PUNCT
cana-3264	125	17	(	(	PUNCT
cana-3264	125	18	3,13	3,13	NUM
cana-3264	125	19	)	)	PUNCT
cana-3264	125	20	,	,	PUNCT
cana-3264	125	21	(	(	PUNCT
cana-3264	125	22	3.14	3.14	NUM
cana-3264	125	23	)	)	PUNCT
cana-3264	125	24	and	and	CCONJ
cana-3264	125	25	lemma	lemma	PROPN
cana-3264	125	26	2.12	2.12	NUM
cana-3264	125	27	gives	give	NOUN
cana-3264	125	28	let	let	VERB
cana-3264	125	29	be	be	AUX
cana-3264	125	30	given	give	VERB
cana-3264	125	31	.	.	PUNCT
cana-3264	126	1	there	there	PRON
cana-3264	126	2	exists	exist	VERB
cana-3264	126	3	such	such	ADJ
cana-3264	126	4	that	that	PRON
cana-3264	126	5	for	for	ADP
cana-3264	126	6	all	all	PRON
cana-3264	126	7	.	.	PUNCT
cana-3264	127	1	since	since	ADV
cana-3264	127	2	,	,	PUNCT
cana-3264	127	3	we	we	PRON
cana-3264	127	4	have	have	VERB
cana-3264	127	5	.	.	PUNCT
cana-3264	128	1	also	also	ADV
cana-3264	128	2	,	,	PUNCT
cana-3264	128	3	from	from	ADP
cana-3264	128	4	theorem	theorem	ADJ
cana-3264	128	5	2.11	2.11	NUM
cana-3264	128	6	,	,	PUNCT
cana-3264	128	7	we	we	PRON
cana-3264	128	8	get	get	VERB
cana-3264	128	9	.	.	PUNCT
cana-3264	129	1	so	so	ADV
cana-3264	129	2	,	,	PUNCT
cana-3264	129	3	from	from	ADP
cana-3264	129	4	(	(	PUNCT
cana-3264	129	5	3.12	3.12	NUM
cana-3264	129	6	)	)	PUNCT
cana-3264	129	7	and	and	CCONJ
cana-3264	129	8	(	(	PUNCT
cana-3264	129	9	3.16	3.16	NUM
cana-3264	129	10	)	)	PUNCT
cana-3264	129	11	,	,	PUNCT
cana-3264	129	12	we	we	PRON
cana-3264	129	13	get	get	AUX
cana-3264	129	14	using	use	VERB
cana-3264	129	15	(	(	PUNCT
cana-3264	129	16	3.15	3.15	NUM
cana-3264	129	17	)	)	PUNCT
cana-3264	129	18	and	and	CCONJ
cana-3264	129	19	theorem	theorem	VERB
cana-3264	129	20	2.11	2.11	NUM
cana-3264	129	21	,	,	PUNCT
cana-3264	129	22	we	we	PRON
cana-3264	129	23	get	get	VERB
cana-3264	129	24	.	.	PUNCT
cana-3264	130	1	but	but	CCONJ
cana-3264	130	2	.	.	PUNCT
cana-3264	131	1	therefore	therefore	ADV
cana-3264	131	2	,	,	PUNCT
cana-3264	131	3	communications	communication	NOUN
cana-3264	131	4	on	on	ADP
cana-3264	131	5	applied	apply	VERB
cana-3264	131	6	nonlinear	nonlinear	ADJ
cana-3264	131	7	analysis	analysis	NOUN
cana-3264	131	8	issn	issn	NOUN
cana-3264	131	9	:	:	PUNCT
cana-3264	131	10	1074	1074	NUM
cana-3264	131	11	-	-	PUNCT
cana-3264	131	12	133x	133x	NUM
cana-3264	131	13	vol	vol	NOUN
cana-3264	131	14	32	32	NUM
cana-3264	131	15	no	no	NOUN
cana-3264	131	16	.	.	PUNCT
cana-3264	132	1	6s	6s	NUM
cana-3264	132	2	(	(	PUNCT
cana-3264	132	3	2025	2025	NUM
cana-3264	132	4	)	)	PUNCT
cana-3264	132	5	88	88	NUM
cana-3264	132	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3264	132	7	from	from	ADP
cana-3264	132	8	(	(	PUNCT
cana-3264	132	9	3.9	3.9	NUM
cana-3264	132	10	)	)	PUNCT
cana-3264	132	11	and	and	CCONJ
cana-3264	132	12	(	(	PUNCT
cana-3264	132	13	3.18	3.18	NUM
cana-3264	132	14	)	)	PUNCT
cana-3264	132	15	we	we	PRON
cana-3264	132	16	get	get	VERB
cana-3264	132	17	that	that	PRON
cana-3264	132	18	is	be	AUX
cana-3264	132	19	,	,	PUNCT
cana-3264	132	20	.	.	PUNCT
cana-3264	133	1	from	from	ADP
cana-3264	133	2	(	(	PUNCT
cana-3264	133	3	3.7	3.7	NUM
cana-3264	133	4	)	)	PUNCT
cana-3264	133	5	,	,	PUNCT
cana-3264	133	6	(	(	PUNCT
cana-3264	133	7	3.8	3.8	NUM
cana-3264	133	8	)	)	PUNCT
cana-3264	133	9	and	and	CCONJ
cana-3264	133	10	lemma	lemma	PROPN
cana-3264	133	11	2.12	2.12	NUM
cana-3264	133	12	,	,	PUNCT
cana-3264	133	13	we	we	PRON
cana-3264	133	14	get	get	VERB
cana-3264	133	15	.	.	PUNCT
cana-3264	134	1	hence	hence	ADV
cana-3264	134	2	,	,	PUNCT
cana-3264	134	3	.	.	PUNCT
cana-3264	135	1	theorem	theorem	VERB
cana-3264	135	2	3.3	3.3	NUM
cana-3264	135	3	.	.	PUNCT
cana-3264	136	1	let	let	VERB
cana-3264	136	2	-condition	-condition	PROPN
cana-3264	136	3	and	and	CCONJ
cana-3264	136	4	(	(	PUNCT
cana-3264	136	5	uuc1	uuc1	PROPN
cana-3264	136	6	)	)	PUNCT
cana-3264	136	7	be	be	AUX
cana-3264	136	8	satisfied	satisfy	VERB
cana-3264	136	9	by	by	ADP
cana-3264	136	10	.	.	PUNCT
cana-3264	137	1	let	let	AUX
cana-3264	137	2	be	be	AUX
cana-3264	137	3	-bounded	-bounde	VERB
cana-3264	137	4	,	,	PUNCT
cana-3264	137	5	closed	closed	ADJ
cana-3264	137	6	,	,	PUNCT
cana-3264	137	7	and	and	CCONJ
cana-3264	137	8	convex	convex	VERB
cana-3264	137	9	in	in	ADP
cana-3264	137	10	.	.	PUNCT
cana-3264	138	1	consider	consider	VERB
cana-3264	138	2	a	a	DET
cana-3264	138	3	multivalued	multivalue	VERB
cana-3264	138	4	mapping	mapping	NOUN
cana-3264	138	5	with	with	ADP
cana-3264	138	6	being	be	AUX
cana-3264	138	7	a	a	DET
cana-3264	138	8	quasi	quasi	ADJ
cana-3264	138	9	-	-	ADJ
cana-3264	138	10	nonexpansive	nonexpansive	ADJ
cana-3264	138	11	mapping	mapping	NOUN
cana-3264	138	12	,	,	PUNCT
cana-3264	138	13	and	and	CCONJ
cana-3264	138	14	.	.	PUNCT
cana-3264	139	1	if	if	SCONJ
cana-3264	139	2	be	be	AUX
cana-3264	139	3	defined	define	VERB
cana-3264	139	4	by	by	ADP
cana-3264	139	5	(	(	PUNCT
cana-3264	139	6	3.1	3.1	NUM
cana-3264	139	7	)	)	PUNCT
cana-3264	139	8	,	,	PUNCT
cana-3264	139	9	then	then	ADV
cana-3264	139	10	is	be	AUX
cana-3264	139	11	convergent	convergent	ADJ
cana-3264	139	12	to	to	ADP
cana-3264	139	13	a	a	DET
cana-3264	139	14	fixed	fix	VERB
cana-3264	139	15	point	point	NOUN
cana-3264	139	16	of	of	ADP
cana-3264	139	17	.	.	PUNCT
cana-3264	140	1	proof	proof	NOUN
cana-3264	140	2	.	.	PUNCT
cana-3264	141	1	by	by	ADP
cana-3264	141	2	being	be	AUX
cana-3264	141	3	compact	compact	ADJ
cana-3264	141	4	,	,	PUNCT
cana-3264	141	5	a	a	DET
cana-3264	141	6	subsequence	subsequence	NOUN
cana-3264	141	7	of	of	ADP
cana-3264	141	8	exists	exist	NOUN
cana-3264	141	9	,	,	PUNCT
cana-3264	141	10	such	such	ADJ
cana-3264	141	11	that	that	PRON
cana-3264	141	12	for	for	ADP
cana-3264	141	13	some	some	PRON
cana-3264	141	14	.	.	PUNCT
cana-3264	142	1	we	we	PRON
cana-3264	142	2	show	show	VERB
cana-3264	142	3	that	that	PRON
cana-3264	142	4	.	.	PUNCT
cana-3264	143	1	let	let	VERB
cana-3264	143	2	be	be	AUX
cana-3264	143	3	arbitrary	arbitrary	ADJ
cana-3264	143	4	chosen	choose	VERB
cana-3264	143	5	from	from	ADP
cana-3264	143	6	and	and	CCONJ
cana-3264	143	7	from	from	ADP
cana-3264	143	8	.	.	PUNCT
cana-3264	144	1	now	now	ADV
cana-3264	144	2	,	,	PUNCT
cana-3264	144	3	using	use	VERB
cana-3264	144	4	theorems	theorem	NOUN
cana-3264	144	5	(	(	PUNCT
cana-3264	144	6	3.1	3.1	NUM
cana-3264	144	7	)	)	PUNCT
cana-3264	144	8	and	and	CCONJ
cana-3264	144	9	(	(	PUNCT
cana-3264	144	10	3.2	3.2	NUM
cana-3264	144	11	)	)	PUNCT
cana-3264	144	12	,	,	PUNCT
cana-3264	144	13	we	we	PRON
cana-3264	144	14	get	get	VERB
cana-3264	144	15	thus	thus	ADV
cana-3264	144	16	,	,	PUNCT
cana-3264	144	17	.	.	PUNCT
cana-3264	145	1	that	that	PRON
cana-3264	145	2	is	be	AUX
cana-3264	145	3	,	,	PUNCT
cana-3264	145	4	is	be	AUX
cana-3264	145	5	-convergent	-convergent	ADJ
cana-3264	145	6	to	to	ADP
cana-3264	145	7	a	a	DET
cana-3264	145	8	fixed	fix	VERB
cana-3264	145	9	point	point	NOUN
cana-3264	145	10	of	of	ADP
cana-3264	145	11	.	.	PUNCT
cana-3264	146	1	theorem	theorem	VERB
cana-3264	146	2	3.4	3.4	NUM
cana-3264	146	3	.	.	PUNCT
cana-3264	147	1	let	let	VERB
cana-3264	147	2	-condition	-condition	PROPN
cana-3264	147	3	and	and	CCONJ
cana-3264	147	4	(	(	PUNCT
cana-3264	147	5	uuc1	uuc1	PROPN
cana-3264	147	6	)	)	PUNCT
cana-3264	147	7	be	be	AUX
cana-3264	147	8	satisfied	satisfy	VERB
cana-3264	147	9	by	by	ADP
cana-3264	147	10	.	.	PUNCT
cana-3264	148	1	let	let	AUX
cana-3264	148	2	be	be	AUX
cana-3264	148	3	-bounded	-bounde	VERB
cana-3264	148	4	,	,	PUNCT
cana-3264	148	5	closed	closed	ADJ
cana-3264	148	6	,	,	PUNCT
cana-3264	148	7	and	and	CCONJ
cana-3264	148	8	convex	convex	VERB
cana-3264	148	9	in	in	ADP
cana-3264	148	10	.	.	PUNCT
cana-3264	149	1	consider	consider	VERB
cana-3264	149	2	a	a	DET
cana-3264	149	3	multivalued	multivalue	VERB
cana-3264	149	4	mapping	mapping	NOUN
cana-3264	149	5	satisfying	satisfy	VERB
cana-3264	149	6	condition	condition	NOUN
cana-3264	149	7	(	(	PUNCT
cana-3264	149	8	i	i	NOUN
cana-3264	149	9	)	)	PUNCT
cana-3264	149	10	communications	communication	NOUN
cana-3264	149	11	on	on	ADP
cana-3264	149	12	applied	apply	VERB
cana-3264	149	13	nonlinear	nonlinear	ADJ
cana-3264	149	14	analysis	analysis	NOUN
cana-3264	149	15	issn	issn	NOUN
cana-3264	149	16	:	:	PUNCT
cana-3264	149	17	1074	1074	NUM
cana-3264	149	18	-	-	PUNCT
cana-3264	149	19	133x	133x	NUM
cana-3264	149	20	vol	vol	NOUN
cana-3264	149	21	32	32	NUM
cana-3264	149	22	no	no	NOUN
cana-3264	149	23	.	.	PUNCT
cana-3264	150	1	6s	6s	NUM
cana-3264	150	2	(	(	PUNCT
cana-3264	150	3	2025	2025	NUM
cana-3264	150	4	)	)	PUNCT
cana-3264	150	5	89	89	NUM
cana-3264	150	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3264	150	7	with	with	ADP
cana-3264	150	8	being	be	AUX
cana-3264	150	9	a	a	DET
cana-3264	150	10	-quasi	-quasi	ADJ
cana-3264	150	11	-	-	PUNCT
cana-3264	150	12	nonexpansive	nonexpansive	ADJ
cana-3264	150	13	mapping	mapping	NOUN
cana-3264	150	14	,	,	PUNCT
cana-3264	150	15	and	and	CCONJ
cana-3264	150	16	.	.	PUNCT
cana-3264	151	1	if	if	SCONJ
cana-3264	151	2	be	be	AUX
cana-3264	151	3	defined	define	VERB
cana-3264	151	4	by	by	ADP
cana-3264	151	5	(	(	PUNCT
cana-3264	151	6	3.1	3.1	NUM
cana-3264	151	7	)	)	PUNCT
cana-3264	151	8	,	,	PUNCT
cana-3264	151	9	then	then	ADV
cana-3264	151	10	is	be	AUX
cana-3264	151	11	-convergent	-convergent	ADJ
cana-3264	151	12	to	to	ADP
cana-3264	151	13	a	a	DET
cana-3264	151	14	fixed	fix	VERB
cana-3264	151	15	point	point	NOUN
cana-3264	151	16	of	of	ADP
cana-3264	151	17	.	.	PUNCT
cana-3264	152	1	proof	proof	NOUN
cana-3264	152	2	.	.	PUNCT
cana-3264	153	1	we	we	PRON
cana-3264	153	2	have	have	AUX
cana-3264	153	3	shown	show	VERB
cana-3264	153	4	in	in	ADP
cana-3264	153	5	theorem	theorem	ADJ
cana-3264	153	6	3.1	3.1	NUM
cana-3264	153	7	that	that	PRON
cana-3264	153	8	exists	exist	VERB
cana-3264	153	9	for	for	ADP
cana-3264	153	10	all	all	PRON
cana-3264	153	11	.	.	PUNCT
cana-3264	154	1	if	if	SCONJ
cana-3264	154	2	,	,	PUNCT
cana-3264	154	3	there	there	PRON
cana-3264	154	4	is	be	VERB
cana-3264	154	5	nothing	nothing	PRON
cana-3264	154	6	to	to	PART
cana-3264	154	7	prove	prove	VERB
cana-3264	154	8	.	.	PUNCT
cana-3264	155	1	we	we	PRON
cana-3264	155	2	assume	assume	VERB
cana-3264	155	3	.	.	PUNCT
cana-3264	156	1	again	again	ADV
cana-3264	156	2	,	,	PUNCT
cana-3264	156	3	from	from	ADP
cana-3264	156	4	theorem	theorem	ADJ
cana-3264	156	5	3.1	3.1	NUM
cana-3264	156	6	,	,	PUNCT
cana-3264	156	7	we	we	PRON
cana-3264	156	8	have	have	VERB
cana-3264	156	9	.	.	PUNCT
cana-3264	157	1	so	so	ADV
cana-3264	157	2	,	,	PUNCT
cana-3264	157	3	.	.	PUNCT
cana-3264	158	1	hence	hence	ADV
cana-3264	158	2	,	,	PUNCT
cana-3264	158	3	exists	exist	VERB
cana-3264	158	4	.	.	PUNCT
cana-3264	159	1	we	we	PRON
cana-3264	159	2	show	show	VERB
cana-3264	159	3	that	that	PRON
cana-3264	159	4	.	.	PUNCT
cana-3264	160	1	using	use	VERB
cana-3264	160	2	theorem	theorem	ADJ
cana-3264	160	3	3.1	3.1	NUM
cana-3264	160	4	and	and	CCONJ
cana-3264	160	5	condition	condition	NOUN
cana-3264	160	6	(	(	PUNCT
cana-3264	160	7	i	i	NOUN
cana-3264	160	8	)	)	PUNCT
cana-3264	160	9	,	,	PUNCT
cana-3264	160	10	we	we	PRON
cana-3264	160	11	get	get	VERB
cana-3264	160	12	.	.	PUNCT
cana-3264	161	1	that	that	PRON
cana-3264	161	2	is	be	AUX
cana-3264	161	3	,	,	PUNCT
cana-3264	161	4	.	.	PUNCT
cana-3264	162	1	since	since	SCONJ
cana-3264	162	2	is	be	AUX
cana-3264	162	3	nondecreasing	nondecrease	VERB
cana-3264	162	4	function	function	NOUN
cana-3264	162	5	and	and	CCONJ
cana-3264	162	6	,	,	PUNCT
cana-3264	162	7	we	we	PRON
cana-3264	162	8	have	have	VERB
cana-3264	162	9	next	next	ADV
cana-3264	162	10	,	,	PUNCT
cana-3264	162	11	we	we	PRON
cana-3264	162	12	show	show	VERB
cana-3264	162	13	that	that	PRON
cana-3264	162	14	is	be	AUX
cana-3264	162	15	a	a	DET
cana-3264	162	16	-cauchy	-cauchy	ADJ
cana-3264	162	17	sequence	sequence	NOUN
cana-3264	162	18	in	in	ADV
cana-3264	162	19	.	.	PUNCT
cana-3264	163	1	let	let	VERB
cana-3264	163	2	.	.	PUNCT
cana-3264	164	1	since	since	SCONJ
cana-3264	164	2	,	,	PUNCT
cana-3264	164	3	there	there	PRON
cana-3264	164	4	is	be	VERB
cana-3264	164	5	a	a	DET
cana-3264	164	6	constant	constant	ADJ
cana-3264	164	7	such	such	ADJ
cana-3264	164	8	that	that	PRON
cana-3264	164	9	,	,	PUNCT
cana-3264	164	10	we	we	PRON
cana-3264	164	11	have	have	VERB
cana-3264	164	12	.	.	PUNCT
cana-3264	165	1	in	in	ADP
cana-3264	165	2	particular	particular	ADJ
cana-3264	165	3	,	,	PUNCT
cana-3264	165	4	.	.	PUNCT
cana-3264	166	1	the	the	PRON
cana-3264	166	2	must	must	AUX
cana-3264	166	3	exist	exist	VERB
cana-3264	166	4	such	such	ADJ
cana-3264	166	5	that	that	PRON
cana-3264	166	6	.	.	PUNCT
cana-3264	167	1	for	for	ADP
cana-3264	167	2	,	,	PUNCT
cana-3264	167	3	we	we	PRON
cana-3264	167	4	have	have	VERB
cana-3264	167	5	.	.	PUNCT
cana-3264	168	1	therefore	therefore	ADV
cana-3264	168	2	,	,	PUNCT
cana-3264	168	3	is	be	AUX
cana-3264	168	4	a	a	DET
cana-3264	168	5	-cauchy	-cauchy	NOUN
cana-3264	168	6	in	in	ADP
cana-3264	168	7	.	.	PUNCT
cana-3264	169	1	thus	thus	ADV
cana-3264	169	2	,	,	PUNCT
cana-3264	169	3	it	it	PRON
cana-3264	169	4	is	be	AUX
cana-3264	169	5	convergent	convergent	NOUN
cana-3264	169	6	in	in	ADP
cana-3264	169	7	.	.	PUNCT
cana-3264	170	1	let	let	VERB
cana-3264	170	2	.	.	PUNCT
cana-3264	171	1	using	use	VERB
cana-3264	171	2	theorem	theorem	ADJ
cana-3264	171	3	3.3	3.3	NUM
cana-3264	171	4	,	,	PUNCT
cana-3264	171	5	we	we	PRON
cana-3264	171	6	get	get	VERB
cana-3264	171	7	.	.	PUNCT
cana-3264	172	1	hence	hence	ADV
cana-3264	172	2	,	,	PUNCT
cana-3264	172	3	is	be	AUX
cana-3264	172	4	-convergent	-convergent	ADJ
cana-3264	172	5	to	to	ADP
cana-3264	172	6	a	a	DET
cana-3264	172	7	fixed	fix	VERB
cana-3264	172	8	point	point	NOUN
cana-3264	172	9	of	of	ADP
cana-3264	172	10	.	.	PUNCT
cana-3264	173	1	communications	communication	NOUN
cana-3264	173	2	on	on	ADP
cana-3264	173	3	applied	apply	VERB
cana-3264	173	4	nonlinear	nonlinear	ADJ
cana-3264	173	5	analysis	analysis	NOUN
cana-3264	173	6	issn	issn	NOUN
cana-3264	173	7	:	:	PUNCT
cana-3264	173	8	1074	1074	NUM
cana-3264	173	9	-	-	PUNCT
cana-3264	173	10	133x	133x	NUM
cana-3264	173	11	vol	vol	NOUN
cana-3264	173	12	32	32	NUM
cana-3264	173	13	no	no	NOUN
cana-3264	173	14	.	.	PUNCT
cana-3264	174	1	6s	6s	NUM
cana-3264	174	2	(	(	PUNCT
cana-3264	174	3	2025	2025	NUM
cana-3264	174	4	)	)	PUNCT
cana-3264	174	5	90	90	NUM
cana-3264	174	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3264	174	7	4	4	X
cana-3264	174	8	.	.	PUNCT
cana-3264	175	1	stability	stability	NOUN
cana-3264	175	2	analysis	analysis	NOUN
cana-3264	175	3	here	here	ADV
cana-3264	175	4	we	we	PRON
cana-3264	175	5	give	give	VERB
cana-3264	175	6	a	a	DET
cana-3264	175	7	stability	stability	NOUN
cana-3264	175	8	result	result	NOUN
cana-3264	175	9	for	for	ADP
cana-3264	175	10	the	the	DET
cana-3264	175	11	picard	picard	NOUN
cana-3264	175	12	-	-	PUNCT
cana-3264	175	13	abbas	abbas	PROPN
cana-3264	175	14	iteration	iteration	NOUN
cana-3264	175	15	.	.	PUNCT
cana-3264	176	1	we	we	PRON
cana-3264	176	2	begin	begin	VERB
cana-3264	176	3	by	by	ADP
cana-3264	176	4	stating	state	VERB
cana-3264	176	5	the	the	DET
cana-3264	176	6	stability	stability	NOUN
cana-3264	176	7	definition	definition	NOUN
cana-3264	176	8	as	as	SCONJ
cana-3264	176	9	follows	follow	VERB
cana-3264	176	10	.	.	PUNCT
cana-3264	177	1	definition	definition	NOUN
cana-3264	177	2	4.1	4.1	NUM
cana-3264	177	3	.	.	PUNCT
cana-3264	178	1	[	[	X
cana-3264	178	2	29	29	NUM
cana-3264	178	3	]	]	X
cana-3264	178	4	let	let	VERB
cana-3264	178	5	(	(	PUNCT
cana-3264	178	6	)	)	PUNCT
cana-3264	178	7	and	and	CCONJ
cana-3264	178	8	operator	operator	NOUN
cana-3264	178	9	.	.	PUNCT
cana-3264	179	1	for	for	ADP
cana-3264	179	2	a	a	DET
cana-3264	179	3	fixed	fix	VERB
cana-3264	179	4	,	,	PUNCT
cana-3264	179	5	let	let	AUX
cana-3264	179	6	be	be	AUX
cana-3264	179	7	an	an	DET
cana-3264	179	8	iteration	iteration	NOUN
cana-3264	179	9	generating	generate	VERB
cana-3264	179	10	a	a	DET
cana-3264	179	11	sequence	sequence	NOUN
cana-3264	179	12	.	.	PUNCT
cana-3264	180	1	let	let	AUX
cana-3264	180	2	be	be	AUX
cana-3264	180	3	strongly	strongly	ADV
cana-3264	180	4	convergent	convergent	ADJ
cana-3264	180	5	to	to	PART
cana-3264	180	6	.	.	PUNCT
cana-3264	181	1	let	let	VERB
cana-3264	181	2	the	the	DET
cana-3264	181	3	sequence	sequence	NOUN
cana-3264	181	4	be	be	AUX
cana-3264	181	5	bounded	bound	VERB
cana-3264	181	6	in	in	ADP
cana-3264	181	7	and	and	CCONJ
cana-3264	181	8	.	.	PUNCT
cana-3264	182	1	(	(	PUNCT
cana-3264	182	2	i	i	NOUN
cana-3264	182	3	)	)	PUNCT
cana-3264	182	4	is	be	AUX
cana-3264	182	5	-stable	-stable	ADJ
cana-3264	182	6	on	on	ADP
cana-3264	182	7	if	if	SCONJ
cana-3264	182	8	(	(	PUNCT
cana-3264	182	9	ii	ii	NOUN
cana-3264	182	10	)	)	PUNCT
cana-3264	182	11	is	be	AUX
cana-3264	182	12	almost	almost	ADV
cana-3264	182	13	-stable	-stable	ADJ
cana-3264	182	14	on	on	ADP
cana-3264	182	15	if	if	SCONJ
cana-3264	182	16	.	.	PUNCT
cana-3264	183	1	theorem	theorem	VERB
cana-3264	183	2	4.2	4.2	NUM
cana-3264	183	3	.	.	PUNCT
cana-3264	184	1	let	let	AUX
cana-3264	184	2	(	(	PUNCT
cana-3264	184	3	)	)	PUNCT
cana-3264	184	4	be	be	AUX
cana-3264	184	5	convex	convex	ADJ
cana-3264	184	6	and	and	CCONJ
cana-3264	184	7	bounded	bound	VERB
cana-3264	184	8	.	.	PUNCT
cana-3264	185	1	if	if	SCONJ
cana-3264	185	2	be	be	AUX
cana-3264	185	3	a	a	DET
cana-3264	185	4	multivalued	multivalue	VERB
cana-3264	185	5	mapping	mapping	NOUN
cana-3264	185	6	with	with	ADP
cana-3264	185	7	being	be	AUX
cana-3264	185	8	a	a	DET
cana-3264	185	9	-quasi	-quasi	ADJ
cana-3264	185	10	-	-	PUNCT
cana-3264	185	11	nonexpansive	nonexpansive	ADJ
cana-3264	185	12	mapping	mapping	NOUN
cana-3264	185	13	,	,	PUNCT
cana-3264	185	14	and	and	CCONJ
cana-3264	185	15	,	,	PUNCT
cana-3264	185	16	then	then	ADV
cana-3264	185	17	the	the	DET
cana-3264	185	18	iteration	iteration	NOUN
cana-3264	185	19	(	(	PUNCT
cana-3264	185	20	3.1	3.1	NUM
cana-3264	185	21	)	)	PUNCT
cana-3264	185	22	is	be	AUX
cana-3264	185	23	-stable	-stable	ADJ
cana-3264	185	24	.	.	PUNCT
cana-3264	186	1	proof	proof	NOUN
cana-3264	186	2	.	.	PUNCT
cana-3264	187	1	let	let	VERB
cana-3264	187	2	.	.	PUNCT
cana-3264	188	1	define	define	VERB
cana-3264	188	2	.	.	PUNCT
cana-3264	189	1	let	let	AUX
cana-3264	189	2	be	be	AUX
cana-3264	189	3	unique	unique	ADJ
cana-3264	189	4	.	.	PUNCT
cana-3264	190	1	suppose	suppose	VERB
cana-3264	190	2	.	.	PUNCT
cana-3264	191	1	using	use	VERB
cana-3264	191	2	(	(	PUNCT
cana-3264	191	3	3.1	3.1	NUM
cana-3264	191	4	)	)	PUNCT
cana-3264	191	5	and	and	CCONJ
cana-3264	191	6	the	the	DET
cana-3264	191	7	convexity	convexity	NOUN
cana-3264	191	8	of	of	ADP
cana-3264	191	9	,	,	PUNCT
cana-3264	191	10	we	we	PRON
cana-3264	191	11	have	have	VERB
cana-3264	191	12	thus	thus	ADV
cana-3264	191	13	,	,	PUNCT
cana-3264	191	14	.	.	PUNCT
cana-3264	192	1	conversely	conversely	ADV
cana-3264	192	2	,	,	PUNCT
cana-3264	192	3	let	let	VERB
cana-3264	192	4	.	.	PUNCT
cana-3264	193	1	by	by	ADP
cana-3264	193	2	(	(	PUNCT
cana-3264	193	3	4.1	4.1	NUM
cana-3264	193	4	)	)	PUNCT
cana-3264	193	5	,	,	PUNCT
cana-3264	193	6	we	we	PRON
cana-3264	193	7	get	get	VERB
cana-3264	193	8	.	.	PUNCT
cana-3264	194	1	therefore	therefore	ADV
cana-3264	194	2	,	,	PUNCT
cana-3264	194	3	if	if	SCONJ
cana-3264	194	4	and	and	CCONJ
cana-3264	194	5	only	only	ADV
cana-3264	194	6	if	if	SCONJ
cana-3264	194	7	.	.	PUNCT
cana-3264	195	1	hence	hence	ADV
cana-3264	195	2	the	the	DET
cana-3264	195	3	proof	proof	NOUN
cana-3264	195	4	.	.	PUNCT
cana-3264	196	1	5	5	X
cana-3264	196	2	.	.	X
cana-3264	196	3	applications	application	NOUN
cana-3264	196	4	to	to	PART
cana-3264	196	5	differential	differential	VERB
cana-3264	196	6	equations	equation	NOUN
cana-3264	196	7	let	let	VERB
cana-3264	196	8	.	.	PUNCT
cana-3264	197	1	for	for	ADP
cana-3264	197	2	an	an	DET
cana-3264	197	3	unknown	unknown	ADJ
cana-3264	197	4	function	function	NOUN
cana-3264	197	5	,	,	PUNCT
cana-3264	197	6	with	with	ADP
cana-3264	197	7	,	,	PUNCT
cana-3264	197	8	consider	consider	VERB
cana-3264	197	9	the	the	DET
cana-3264	197	10	initial	initial	ADJ
cana-3264	197	11	value	value	NOUN
cana-3264	197	12	problem	problem	NOUN
cana-3264	197	13	(	(	PUNCT
cana-3264	197	14	ivp	ivp	NOUN
cana-3264	197	15	)	)	PUNCT
cana-3264	197	16	communications	communication	NOUN
cana-3264	197	17	on	on	ADP
cana-3264	197	18	applied	apply	VERB
cana-3264	197	19	nonlinear	nonlinear	ADJ
cana-3264	197	20	analysis	analysis	NOUN
cana-3264	197	21	issn	issn	NOUN
cana-3264	197	22	:	:	PUNCT
cana-3264	197	23	1074	1074	NUM
cana-3264	197	24	-	-	PUNCT
cana-3264	197	25	133x	133x	NUM
cana-3264	197	26	vol	vol	NOUN
cana-3264	197	27	32	32	NUM
cana-3264	197	28	no	no	NOUN
cana-3264	197	29	.	.	PUNCT
cana-3264	198	1	6s	6s	NUM
cana-3264	198	2	(	(	PUNCT
cana-3264	198	3	2025	2025	NUM
cana-3264	198	4	)	)	PUNCT
cana-3264	198	5	91	91	NUM
cana-3264	198	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3264	198	7	for	for	ADP
cana-3264	198	8	fixed	fix	VERB
cana-3264	198	9	,	,	PUNCT
cana-3264	198	10	and	and	CCONJ
cana-3264	198	11	with	with	ADP
cana-3264	198	12	being	be	AUX
cana-3264	198	13	-quasi	-quasi	ADJ
cana-3264	198	14	-	-	PUNCT
cana-3264	198	15	nonexpansive	nonexpansive	ADJ
cana-3264	198	16	mapping	mapping	NOUN
cana-3264	198	17	.	.	PUNCT
cana-3264	199	1	for	for	ADP
cana-3264	199	2	any	any	DET
cana-3264	199	3	define	define	NOUN
cana-3264	199	4	for	for	ADP
cana-3264	199	5	a	a	DET
cana-3264	199	6	function	function	NOUN
cana-3264	199	7	,	,	PUNCT
cana-3264	199	8	,	,	PUNCT
cana-3264	199	9	,	,	PUNCT
cana-3264	199	10	define	define	VERB
cana-3264	199	11	let	let	VERB
cana-3264	199	12	us	we	PRON
cana-3264	199	13	denote	denote	VERB
cana-3264	199	14	for	for	ADP
cana-3264	199	15	any	any	DET
cana-3264	199	16	subdivision	subdivision	NOUN
cana-3264	199	17	of	of	ADP
cana-3264	199	18	.	.	PUNCT
cana-3264	200	1	lemma	lemma	PROPN
cana-3264	200	2	5.1	5.1	NUM
cana-3264	200	3	.	.	PUNCT
cana-3264	201	1	[	[	X
cana-3264	201	2	8	8	NUM
cana-3264	201	3	]	]	PUNCT
cana-3264	201	4	consider	consider	VERB
cana-3264	201	5	a	a	DET
cana-3264	201	6	separable	separable	NOUN
cana-3264	201	7	.	.	PUNCT
cana-3264	202	1	let	let	AUX
cana-3264	202	2	be	be	AUX
cana-3264	202	3	two	two	NUM
cana-3264	202	4	bochner	bochner	NOUN
cana-3264	202	5	-	-	PUNCT
cana-3264	202	6	integrable	integrable	ADJ
cana-3264	202	7	-bounded	-bounded	ADJ
cana-3264	202	8	functions	function	NOUN
cana-3264	202	9	,	,	PUNCT
cana-3264	202	10	with	with	ADP
cana-3264	202	11	.	.	PUNCT
cana-3264	203	1	then	then	ADV
cana-3264	203	2	,	,	PUNCT
cana-3264	203	3	we	we	PRON
cana-3264	203	4	have	have	VERB
cana-3264	203	5	we	we	PRON
cana-3264	203	6	now	now	ADV
cana-3264	203	7	prove	prove	VERB
cana-3264	203	8	our	our	PRON
cana-3264	203	9	theorem	theorem	ADJ
cana-3264	203	10	.	.	PUNCT
cana-3264	203	11	theorem	theorem	VERB
cana-3264	203	12	5.2	5.2	NUM
cana-3264	203	13	.	.	PUNCT
cana-3264	204	1	consider	consider	VERB
cana-3264	204	2	a	a	DET
cana-3264	204	3	separable	separable	NOUN
cana-3264	204	4	.	.	PUNCT
cana-3264	205	1	let	let	AUX
cana-3264	205	2	be	be	AUX
cana-3264	205	3	non	non	ADJ
cana-3264	205	4	-	-	ADJ
cana-3264	205	5	empty	empty	ADJ
cana-3264	205	6	,	,	PUNCT
cana-3264	205	7	-closed	-closed	ADJ
cana-3264	205	8	,	,	PUNCT
cana-3264	205	9	-bounded	-bounded	ADJ
cana-3264	205	10	,	,	PUNCT
cana-3264	205	11	convex	convex	NOUN
cana-3264	205	12	set	set	NOUN
cana-3264	205	13	having	have	VERB
cana-3264	205	14	vitali	vitali	PROPN
cana-3264	205	15	property	property	NOUN
cana-3264	205	16	,	,	PUNCT
cana-3264	205	17	and	and	CCONJ
cana-3264	205	18	a	a	DET
cana-3264	205	19	multivalued	multivalue	VERB
cana-3264	205	20	mapping	mapping	NOUN
cana-3264	205	21	with	with	ADP
cana-3264	205	22	being	be	AUX
cana-3264	205	23	a	a	DET
cana-3264	205	24	quasi	quasi	ADJ
cana-3264	205	25	-	-	ADJ
cana-3264	205	26	nonexpansive	nonexpansive	ADJ
cana-3264	205	27	mapping	mapping	NOUN
cana-3264	205	28	.	.	PUNCT
cana-3264	206	1	for	for	ADP
cana-3264	206	2	fixed	fix	VERB
cana-3264	206	3	,	,	PUNCT
cana-3264	206	4	,	,	PUNCT
cana-3264	206	5	we	we	PRON
cana-3264	206	6	define	define	VERB
cana-3264	206	7	by	by	ADP
cana-3264	206	8	then	then	ADV
cana-3264	206	9	such	such	ADJ
cana-3264	206	10	that	that	PRON
cana-3264	206	11	and	and	CCONJ
cana-3264	206	12	defined	define	VERB
cana-3264	206	13	by	by	ADP
cana-3264	206	14	(	(	PUNCT
cana-3264	206	15	5.7	5.7	NUM
cana-3264	206	16	)	)	PUNCT
cana-3264	206	17	is	be	AUX
cana-3264	206	18	a	a	DET
cana-3264	206	19	solution	solution	NOUN
cana-3264	206	20	of	of	ADP
cana-3264	206	21	the	the	DET
cana-3264	206	22	ivp	ivp	NOUN
cana-3264	206	23	(	(	PUNCT
cana-3264	206	24	5.1	5.1	NUM
cana-3264	206	25	)	)	PUNCT
cana-3264	206	26	.	.	PUNCT
cana-3264	207	1	moreover	moreover	ADV
cana-3264	207	2	,	,	PUNCT
cana-3264	207	3	communications	communication	NOUN
cana-3264	207	4	on	on	ADP
cana-3264	207	5	applied	apply	VERB
cana-3264	207	6	nonlinear	nonlinear	ADJ
cana-3264	207	7	analysis	analysis	NOUN
cana-3264	207	8	issn	issn	NOUN
cana-3264	207	9	:	:	PUNCT
cana-3264	207	10	1074	1074	NUM
cana-3264	207	11	-	-	PUNCT
cana-3264	207	12	133x	133x	NUM
cana-3264	207	13	vol	vol	NOUN
cana-3264	207	14	32	32	NUM
cana-3264	207	15	no	no	NOUN
cana-3264	207	16	.	.	PUNCT
cana-3264	208	1	6s	6s	NUM
cana-3264	208	2	(	(	PUNCT
cana-3264	208	3	2025	2025	NUM
cana-3264	208	4	)	)	PUNCT
cana-3264	208	5	92	92	NUM
cana-3264	208	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3264	208	7	proof	proof	NOUN
cana-3264	208	8	.	.	PUNCT
cana-3264	209	1	the	the	DET
cana-3264	209	2	proof	proof	NOUN
cana-3264	209	3	follows	follow	VERB
cana-3264	209	4	that	that	PRON
cana-3264	209	5	of	of	ADP
cana-3264	209	6	(	(	PUNCT
cana-3264	209	7	[	[	X
cana-3264	209	8	15	15	NUM
cana-3264	209	9	]	]	PUNCT
cana-3264	209	10	,	,	PUNCT
cana-3264	209	11	theorem	theorem	VERB
cana-3264	209	12	5.28	5.28	NUM
cana-3264	209	13	)	)	PUNCT
cana-3264	209	14	,	,	PUNCT
cana-3264	209	15	since	since	SCONJ
cana-3264	209	16	being	be	AUX
cana-3264	209	17	a	a	DET
cana-3264	209	18	-quasi	-quasi	ADJ
cana-3264	209	19	-	-	PUNCT
cana-3264	209	20	nonexpansive	nonexpansive	ADJ
cana-3264	209	21	mapping	mapping	NOUN
cana-3264	209	22	.	.	PUNCT
cana-3264	210	1	corollary	corollary	ADJ
cana-3264	210	2	5.3	5.3	NUM
cana-3264	210	3	.	.	PUNCT
cana-3264	211	1	consider	consider	VERB
cana-3264	211	2	a	a	DET
cana-3264	211	3	separable	separable	NOUN
cana-3264	211	4	.	.	PUNCT
cana-3264	212	1	let	let	AUX
cana-3264	212	2	be	be	AUX
cana-3264	212	3	non	non	ADJ
cana-3264	212	4	-	-	ADJ
cana-3264	212	5	empty	empty	ADJ
cana-3264	212	6	,	,	PUNCT
cana-3264	212	7	-closed	-closed	ADJ
cana-3264	212	8	,	,	PUNCT
cana-3264	212	9	-bounded	-bounded	ADJ
cana-3264	212	10	,	,	PUNCT
cana-3264	212	11	convex	convex	NOUN
cana-3264	212	12	set	set	NOUN
cana-3264	212	13	having	have	VERB
cana-3264	212	14	vitali	vitali	PROPN
cana-3264	212	15	property	property	NOUN
cana-3264	212	16	,	,	PUNCT
cana-3264	212	17	and	and	CCONJ
cana-3264	212	18	a	a	DET
cana-3264	212	19	multivalued	multivalue	VERB
cana-3264	212	20	mapping	mapping	NOUN
cana-3264	212	21	with	with	ADP
cana-3264	212	22	being	be	AUX
cana-3264	212	23	a	a	DET
cana-3264	212	24	nonexpansive	nonexpansive	ADJ
cana-3264	212	25	mapping	mapping	NOUN
cana-3264	212	26	.	.	PUNCT
cana-3264	213	1	for	for	ADP
cana-3264	213	2	fixed	fix	VERB
cana-3264	213	3	,	,	PUNCT
cana-3264	213	4	,	,	PUNCT
cana-3264	213	5	we	we	PRON
cana-3264	213	6	define	define	VERB
cana-3264	213	7	by	by	ADP
cana-3264	213	8	then	then	ADV
cana-3264	213	9	such	such	ADJ
cana-3264	213	10	that	that	PRON
cana-3264	213	11	and	and	CCONJ
cana-3264	213	12	defined	define	VERB
cana-3264	213	13	by	by	ADP
cana-3264	213	14	(	(	PUNCT
cana-3264	213	15	5.10	5.10	NUM
cana-3264	213	16	)	)	PUNCT
cana-3264	213	17	is	be	AUX
cana-3264	213	18	a	a	DET
cana-3264	213	19	solution	solution	NOUN
cana-3264	213	20	of	of	ADP
cana-3264	213	21	the	the	DET
cana-3264	213	22	ivp	ivp	NOUN
cana-3264	213	23	(	(	PUNCT
cana-3264	213	24	5.1	5.1	NUM
cana-3264	213	25	)	)	PUNCT
cana-3264	213	26	.	.	PUNCT
cana-3264	214	1	moreover	moreover	ADV
cana-3264	214	2	,	,	PUNCT
cana-3264	214	3	corollary	corollary	ADJ
cana-3264	214	4	5.4	5.4	NUM
cana-3264	214	5	.	.	PUNCT
cana-3264	215	1	consider	consider	VERB
cana-3264	215	2	a	a	DET
cana-3264	215	3	separable	separable	NOUN
cana-3264	215	4	.	.	PUNCT
cana-3264	216	1	let	let	AUX
cana-3264	216	2	be	be	AUX
cana-3264	216	3	non	non	ADJ
cana-3264	216	4	-	-	ADJ
cana-3264	216	5	empty	empty	ADJ
cana-3264	216	6	,	,	PUNCT
cana-3264	216	7	-closed	-closed	ADJ
cana-3264	216	8	,	,	PUNCT
cana-3264	216	9	-bounded	-bounded	ADJ
cana-3264	216	10	,	,	PUNCT
cana-3264	216	11	convex	convex	NOUN
cana-3264	216	12	set	set	NOUN
cana-3264	216	13	having	have	VERB
cana-3264	216	14	vitali	vitali	PROPN
cana-3264	216	15	property	property	NOUN
cana-3264	216	16	,	,	PUNCT
cana-3264	216	17	and	and	CCONJ
cana-3264	216	18	a	a	DET
cana-3264	216	19	multivalued	multivalue	VERB
cana-3264	216	20	mapping	mapping	NOUN
cana-3264	216	21	with	with	ADP
cana-3264	216	22	being	be	AUX
cana-3264	216	23	a	a	DET
cana-3264	216	24	contraction	contraction	NOUN
cana-3264	216	25	mapping	mapping	NOUN
cana-3264	216	26	.	.	PUNCT
cana-3264	217	1	for	for	ADP
cana-3264	217	2	fixed	fix	VERB
cana-3264	217	3	,	,	PUNCT
cana-3264	217	4	,	,	PUNCT
cana-3264	217	5	we	we	PRON
cana-3264	217	6	define	define	VERB
cana-3264	217	7	by	by	ADP
cana-3264	217	8	then	then	ADV
cana-3264	217	9	such	such	ADJ
cana-3264	217	10	that	that	PRON
cana-3264	217	11	and	and	CCONJ
cana-3264	217	12	defined	define	VERB
cana-3264	217	13	by	by	ADP
cana-3264	217	14	(	(	PUNCT
cana-3264	217	15	5.13	5.13	NUM
cana-3264	217	16	)	)	PUNCT
cana-3264	217	17	is	be	AUX
cana-3264	217	18	a	a	DET
cana-3264	217	19	solution	solution	NOUN
cana-3264	217	20	of	of	ADP
cana-3264	217	21	the	the	DET
cana-3264	217	22	ivp	ivp	NOUN
cana-3264	217	23	(	(	PUNCT
cana-3264	217	24	5.1	5.1	NUM
cana-3264	217	25	)	)	PUNCT
cana-3264	217	26	.	.	PUNCT
cana-3264	218	1	moreover	moreover	ADV
cana-3264	218	2	,	,	PUNCT
cana-3264	218	3	.	.	PUNCT
cana-3264	219	1	references	reference	NOUN
cana-3264	219	2	[	[	X
cana-3264	219	3	1	1	NUM
cana-3264	219	4	]	]	X
cana-3264	219	5	abbas	abbas	PROPN
cana-3264	219	6	m.	m.	NOUN
cana-3264	219	7	,	,	PUNCT
cana-3264	219	8	and	and	CCONJ
cana-3264	219	9	nazir	nazir	PROPN
cana-3264	219	10	t.	t.	PROPN
cana-3264	219	11	(	(	PUNCT
cana-3264	219	12	2014	2014	NUM
cana-3264	219	13	)	)	PUNCT
cana-3264	219	14	,	,	PUNCT
cana-3264	219	15	a	a	DET
cana-3264	219	16	new	new	ADJ
cana-3264	219	17	faster	fast	ADJ
cana-3264	219	18	iteration	iteration	NOUN
cana-3264	219	19	process	process	NOUN
cana-3264	219	20	applied	apply	VERB
cana-3264	219	21	to	to	ADP
cana-3264	219	22	constrained	constrain	VERB
cana-3264	219	23	minimization	minimization	NOUN
cana-3264	219	24	and	and	CCONJ
cana-3264	219	25	feasibility	feasibility	NOUN
cana-3264	219	26	problems	problem	NOUN
cana-3264	219	27	,	,	PUNCT
cana-3264	219	28	mat	mat	PROPN
cana-3264	219	29	.	.	PROPN
cana-3264	219	30	vesnik	vesnik	PROPN
cana-3264	219	31	66(2	66(2	NUM
cana-3264	219	32	)	)	PUNCT
cana-3264	219	33	,	,	PUNCT
cana-3264	219	34	223–234	223–234	NUM
cana-3264	219	35	.	.	PUNCT
cana-3264	220	1	[	[	X
cana-3264	220	2	2	2	NUM
cana-3264	220	3	]	]	X
cana-3264	220	4	abbas	abbas	PROPN
cana-3264	220	5	m.	m.	NOUN
cana-3264	220	6	,	,	PUNCT
cana-3264	220	7	and	and	CCONJ
cana-3264	220	8	rhoades	rhoades	PROPN
cana-3264	220	9	b.	b.	PROPN
cana-3264	220	10	e.	e.	PROPN
cana-3264	220	11	(	(	PUNCT
cana-3264	220	12	2009	2009	NUM
cana-3264	220	13	)	)	PUNCT
cana-3264	220	14	,	,	PUNCT
cana-3264	220	15	fixed	fix	VERB
cana-3264	220	16	point	point	NOUN
cana-3264	220	17	theorems	theorem	NOUN
cana-3264	220	18	for	for	ADP
cana-3264	220	19	two	two	NUM
cana-3264	220	20	new	new	ADJ
cana-3264	220	21	classes	class	NOUN
cana-3264	220	22	of	of	ADP
cana-3264	220	23	multivalued	multivalued	ADJ
cana-3264	220	24	mappings	mapping	NOUN
cana-3264	220	25	,	,	PUNCT
cana-3264	220	26	appl	appl	PROPN
cana-3264	220	27	.	.	PROPN
cana-3264	220	28	math	math	PROPN
cana-3264	220	29	.	.	PUNCT
cana-3264	221	1	lett	lett	PROPN
cana-3264	221	2	.	.	PUNCT
cana-3264	222	1	22(9	22(9	NUM
cana-3264	222	2	)	)	PUNCT
cana-3264	222	3	,	,	PUNCT
cana-3264	222	4	1364–1368	1364–1368	NUM
cana-3264	222	5	.	.	PUNCT
cana-3264	223	1	communications	communication	NOUN
cana-3264	223	2	on	on	ADP
cana-3264	223	3	applied	apply	VERB
cana-3264	223	4	nonlinear	nonlinear	ADJ
cana-3264	223	5	analysis	analysis	NOUN
cana-3264	223	6	issn	issn	NOUN
cana-3264	223	7	:	:	PUNCT
cana-3264	223	8	1074	1074	NUM
cana-3264	223	9	-	-	PUNCT
cana-3264	223	10	133x	133x	NUM
cana-3264	223	11	vol	vol	NOUN
cana-3264	223	12	32	32	NUM
cana-3264	223	13	no	no	NOUN
cana-3264	223	14	.	.	PUNCT
cana-3264	224	1	6s	6s	NUM
cana-3264	224	2	(	(	PUNCT
cana-3264	224	3	2025	2025	NUM
cana-3264	224	4	)	)	PUNCT
cana-3264	224	5	93	93	NUM
cana-3264	224	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3264	225	1	[	[	X
cana-3264	225	2	3	3	NUM
cana-3264	225	3	]	]	X
cana-3264	225	4	bin	bin	PROPN
cana-3264	225	5	dehaish	dehaish	PROPN
cana-3264	225	6	b.	b.	PROPN
cana-3264	225	7	a.	a.	PROPN
cana-3264	225	8	,	,	PUNCT
cana-3264	225	9	and	and	CCONJ
cana-3264	225	10	kozlowski	kozlowski	PROPN
cana-3264	225	11	w.	w.	PROPN
cana-3264	225	12	m.	m.	PROPN
cana-3264	225	13	(	(	PUNCT
cana-3264	225	14	2012	2012	NUM
cana-3264	225	15	)	)	PUNCT
cana-3264	225	16	,	,	PUNCT
cana-3264	225	17	fixed	fix	VERB
cana-3264	225	18	point	point	NOUN
cana-3264	225	19	iteration	iteration	NOUN
cana-3264	225	20	processes	process	NOUN
cana-3264	225	21	for	for	ADP
cana-3264	225	22	asymptotic	asymptotic	ADJ
cana-3264	225	23	pointwise	pointwise	NOUN
cana-3264	225	24	nonexpansive	nonexpansive	ADJ
cana-3264	225	25	mapping	mapping	NOUN
cana-3264	225	26	in	in	ADP
cana-3264	225	27	modular	modular	ADJ
cana-3264	225	28	function	function	NOUN
cana-3264	225	29	spaces	space	NOUN
cana-3264	225	30	,	,	PUNCT
cana-3264	225	31	fixed	fix	VERB
cana-3264	225	32	point	point	NOUN
cana-3264	225	33	theory	theory	NOUN
cana-3264	225	34	appl	appl	NOUN
cana-3264	225	35	.	.	PROPN
cana-3264	226	1	2012	2012	NUM
cana-3264	226	2	,	,	PUNCT
cana-3264	226	3	article	article	NOUN
cana-3264	226	4	i	i	PROPN
cana-3264	226	5	d	d	PROPN
cana-3264	226	6	118	118	NUM
cana-3264	226	7	.	.	PUNCT
cana-3264	227	1	[	[	X
cana-3264	227	2	4	4	X
cana-3264	227	3	]	]	X
cana-3264	227	4	chyne	chyne	NOUN
cana-3264	227	5	m.	m.	NOUN
cana-3264	227	6	,	,	PUNCT
cana-3264	227	7	and	and	CCONJ
cana-3264	227	8	kumar	kumar	PROPN
cana-3264	227	9	n.	n.	PROPN
cana-3264	227	10	(	(	PUNCT
cana-3264	227	11	2023	2023	NUM
cana-3264	227	12	)	)	PUNCT
cana-3264	227	13	,	,	PUNCT
cana-3264	227	14	picard	picard	NOUN
cana-3264	227	15	-	-	PUNCT
cana-3264	227	16	noor	noor	PROPN
cana-3264	227	17	hybrid	hybrid	ADJ
cana-3264	227	18	iterative	iterative	NOUN
cana-3264	227	19	method	method	NOUN
cana-3264	227	20	and	and	CCONJ
cana-3264	227	21	its	its	PRON
cana-3264	227	22	convergence	convergence	NOUN
cana-3264	227	23	analysis	analysis	NOUN
cana-3264	227	24	,	,	PUNCT
cana-3264	227	25	aip	aip	PROPN
cana-3264	227	26	conf	conf	PROPN
cana-3264	227	27	.	.	PUNCT
cana-3264	228	1	proc	proc	PROPN
cana-3264	228	2	.	.	PROPN
cana-3264	229	1	2735	2735	NUM
cana-3264	229	2	,	,	PUNCT
cana-3264	229	3	040034	040034	NUM
cana-3264	229	4	.	.	PUNCT
cana-3264	230	1	[	[	X
cana-3264	230	2	5	5	NUM
cana-3264	230	3	]	]	PUNCT
cana-3264	230	4	chyne	chyne	NOUN
cana-3264	230	5	m.	m.	NOUN
cana-3264	230	6	,	,	PUNCT
cana-3264	230	7	and	and	CCONJ
cana-3264	230	8	kumar	kumar	PROPN
cana-3264	230	9	n.	n.	PROPN
cana-3264	230	10	(	(	PUNCT
cana-3264	230	11	2024	2024	NUM
cana-3264	230	12	)	)	PUNCT
cana-3264	230	13	,	,	PUNCT
cana-3264	230	14	convergence	convergence	NOUN
cana-3264	230	15	analysis	analysis	NOUN
cana-3264	230	16	of	of	ADP
cana-3264	230	17	picard	picard	NOUN
cana-3264	230	18	-	-	PUNCT
cana-3264	230	19	abbas	abbas	PROPN
cana-3264	230	20	hybrid	hybrid	ADJ
cana-3264	230	21	iterative	iterative	NOUN
cana-3264	230	22	process	process	NOUN
cana-3264	230	23	,	,	PUNCT
cana-3264	230	24	adv	adv	PROPN
cana-3264	230	25	.	.	PUNCT
cana-3264	230	26	fixed	fix	VERB
cana-3264	230	27	point	point	NOUN
cana-3264	230	28	theory	theory	NOUN
cana-3264	230	29	14	14	NUM
cana-3264	230	30	,	,	PUNCT
cana-3264	230	31	article	article	NOUN
cana-3264	230	32	i	i	PROPN
cana-3264	230	33	d	d	PROPN
cana-3264	230	34	21	21	NUM
cana-3264	230	35	.	.	PUNCT
cana-3264	231	1	[	[	X
cana-3264	231	2	6	6	NUM
cana-3264	231	3	]	]	X
cana-3264	231	4	dominguez	dominguez	PROPN
cana-3264	231	5	-	-	PUNCT
cana-3264	231	6	benavides	benavides	PROPN
cana-3264	231	7	t.	t.	PROPN
cana-3264	231	8	,	,	PUNCT
cana-3264	231	9	khamsi	khamsi	PROPN
cana-3264	231	10	m.	m.	NOUN
cana-3264	231	11	a.	a.	PROPN
cana-3264	231	12	,	,	PUNCT
cana-3264	231	13	and	and	CCONJ
cana-3264	231	14	samadi	samadi	PROPN
cana-3264	231	15	s.	s.	PROPN
cana-3264	231	16	(	(	PUNCT
cana-3264	231	17	2002	2002	NUM
cana-3264	231	18	)	)	PUNCT
cana-3264	231	19	,	,	PUNCT
cana-3264	231	20	asymptotically	asymptotically	ADV
cana-3264	231	21	nonexpansive	nonexpansive	ADJ
cana-3264	231	22	mappings	mapping	NOUN
cana-3264	231	23	in	in	ADP
cana-3264	231	24	modular	modular	ADJ
cana-3264	231	25	function	function	NOUN
cana-3264	231	26	spaces	space	NOUN
cana-3264	231	27	,	,	PUNCT
cana-3264	231	28	j.	j.	PROPN
cana-3264	231	29	math	math	PROPN
cana-3264	231	30	.	.	PUNCT
cana-3264	232	1	anal	anal	PROPN
cana-3264	232	2	.	.	PUNCT
cana-3264	232	3	appl	appl	PROPN
cana-3264	232	4	.	.	PUNCT
cana-3264	233	1	265(2	265(2	NUM
cana-3264	233	2	)	)	PUNCT
cana-3264	233	3	,	,	PUNCT
cana-3264	233	4	249–263	249–263	NUM
cana-3264	233	5	.	.	PUNCT
cana-3264	234	1	[	[	X
cana-3264	234	2	7	7	X
cana-3264	234	3	]	]	X
cana-3264	234	4	gorniewicz	gorniewicz	PROPN
cana-3264	234	5	l.	l.	PROPN
cana-3264	234	6	(	(	PUNCT
cana-3264	234	7	1999	1999	NUM
cana-3264	234	8	)	)	PUNCT
cana-3264	234	9	,	,	PUNCT
cana-3264	234	10	topological	topological	ADJ
cana-3264	234	11	fixed	fix	VERB
cana-3264	234	12	point	point	NOUN
cana-3264	234	13	theory	theory	NOUN
cana-3264	234	14	of	of	ADP
cana-3264	234	15	multivalued	multivalued	ADJ
cana-3264	234	16	mappings	mapping	NOUN
cana-3264	234	17	,	,	PUNCT
cana-3264	234	18	kluwer	kluwer	PROPN
cana-3264	234	19	academic	academic	PROPN
cana-3264	234	20	pu	pu	PROPN
cana-3264	234	21	b.	b.	PROPN
cana-3264	234	22	,	,	PUNCT
cana-3264	234	23	dordrecht	dordrecht	PROPN
cana-3264	234	24	,	,	PUNCT
cana-3264	234	25	netherlands	netherlands	PROPN
cana-3264	234	26	.	.	PUNCT
cana-3264	235	1	[	[	X
cana-3264	235	2	8	8	NUM
cana-3264	235	3	]	]	X
cana-3264	235	4	khamsi	khamsi	PROPN
cana-3264	235	5	m.	m.	NOUN
cana-3264	235	6	a.	a.	PROPN
cana-3264	235	7	,	,	PUNCT
cana-3264	235	8	and	and	CCONJ
cana-3264	235	9	kozlowski	kozlowski	PROPN
cana-3264	235	10	w.	w.	PROPN
cana-3264	235	11	m.	m.	PROPN
cana-3264	235	12	(	(	PUNCT
cana-3264	235	13	2015	2015	NUM
cana-3264	235	14	)	)	PUNCT
cana-3264	235	15	,	,	PUNCT
cana-3264	235	16	fixed	fix	VERB
cana-3264	235	17	point	point	NOUN
cana-3264	235	18	theory	theory	NOUN
cana-3264	235	19	in	in	ADP
cana-3264	235	20	modular	modular	ADJ
cana-3264	235	21	function	function	NOUN
cana-3264	235	22	spaces	space	NOUN
cana-3264	235	23	,	,	PUNCT
cana-3264	235	24	springer	springer	NOUN
cana-3264	235	25	,	,	PUNCT
cana-3264	235	26	berlin	berlin	PROPN
cana-3264	235	27	.	.	PUNCT
cana-3264	236	1	[	[	X
cana-3264	236	2	9	9	NUM
cana-3264	236	3	]	]	SYM
cana-3264	236	4	khamsi	khamsi	PROPN
cana-3264	236	5	m.	m.	PROPN
cana-3264	236	6	a.	a.	PROPN
cana-3264	236	7	,	,	PUNCT
cana-3264	236	8	kozlowski	kozlowski	PROPN
cana-3264	236	9	w.	w.	PROPN
cana-3264	236	10	m.	m.	PROPN
cana-3264	236	11	,	,	PUNCT
cana-3264	236	12	and	and	CCONJ
cana-3264	236	13	reich	reich	PROPN
cana-3264	236	14	s.	s.	PROPN
cana-3264	236	15	(	(	PUNCT
cana-3264	236	16	1990	1990	NUM
cana-3264	236	17	)	)	PUNCT
cana-3264	236	18	,	,	PUNCT
cana-3264	236	19	fixed	fix	VERB
cana-3264	236	20	point	point	NOUN
cana-3264	236	21	theory	theory	NOUN
cana-3264	236	22	in	in	ADP
cana-3264	236	23	modular	modular	ADJ
cana-3264	236	24	function	function	NOUN
cana-3264	236	25	spaces	space	NOUN
cana-3264	236	26	.	.	PUNCT
cana-3264	237	1	nonlinear	nonlinear	ADJ
cana-3264	237	2	anal	anal	NOUN
cana-3264	237	3	.	.	PUNCT
cana-3264	238	1	14	14	NUM
cana-3264	238	2	,	,	PUNCT
cana-3264	238	3	935	935	NUM
cana-3264	238	4	-	-	SYM
cana-3264	238	5	953	953	NUM
cana-3264	238	6	.	.	PUNCT
cana-3264	239	1	[	[	X
cana-3264	239	2	10	10	NUM
cana-3264	239	3	]	]	X
cana-3264	239	4	khan	khan	PROPN
cana-3264	239	5	s.	s.	PROPN
cana-3264	239	6	h.	h.	PROPN
cana-3264	239	7	,	,	PUNCT
cana-3264	239	8	and	and	CCONJ
cana-3264	239	9	abbas	abbas	PROPN
cana-3264	239	10	m.	m.	NOUN
cana-3264	239	11	(	(	PUNCT
cana-3264	239	12	2014	2014	NUM
cana-3264	239	13	)	)	PUNCT
cana-3264	239	14	,	,	PUNCT
cana-3264	239	15	approximating	approximate	VERB
cana-3264	239	16	fixed	fix	VERB
cana-3264	239	17	points	point	NOUN
cana-3264	239	18	of	of	ADP
cana-3264	239	19	multivalued	multivalued	ADJ
cana-3264	239	20	-nonexpansive	-nonexpansive	ADJ
cana-3264	239	21	mappings	mapping	NOUN
cana-3264	239	22	in	in	ADP
cana-3264	239	23	modular	modular	ADJ
cana-3264	239	24	function	function	NOUN
cana-3264	239	25	spaces	space	NOUN
cana-3264	239	26	,	,	PUNCT
cana-3264	239	27	fixed	fix	VERB
cana-3264	239	28	point	point	NOUN
cana-3264	239	29	theory	theory	NOUN
cana-3264	239	30	appl	appl	PROPN
cana-3264	239	31	.	.	PROPN
cana-3264	239	32	2014	2014	NUM
cana-3264	239	33	,	,	PUNCT
cana-3264	239	34	1	1	NUM
cana-3264	239	35	-	-	SYM
cana-3264	239	36	9	9	NUM
cana-3264	239	37	,	,	PUNCT
cana-3264	239	38	article	article	NOUN
cana-3264	239	39	i	i	PROPN
cana-3264	239	40	d	d	PROPN
cana-3264	239	41	34	34	NUM
cana-3264	239	42	.	.	PUNCT
cana-3264	240	1	[	[	X
cana-3264	240	2	11	11	NUM
cana-3264	240	3	]	]	X
cana-3264	240	4	khan	khan	PROPN
cana-3264	240	5	s.	s.	PROPN
cana-3264	240	6	h.	h.	PROPN
cana-3264	240	7	,	,	PUNCT
cana-3264	240	8	abbas	abbas	PROPN
cana-3264	240	9	m.	m.	NOUN
cana-3264	240	10	,	,	PUNCT
cana-3264	240	11	and	and	CCONJ
cana-3264	240	12	ali	ali	PROPN
cana-3264	240	13	s.	s.	PROPN
cana-3264	240	14	(	(	PUNCT
cana-3264	240	15	2017	2017	NUM
cana-3264	240	16	)	)	PUNCT
cana-3264	240	17	,	,	PUNCT
cana-3264	240	18	fixed	fix	VERB
cana-3264	240	19	point	point	NOUN
cana-3264	240	20	approximation	approximation	NOUN
cana-3264	240	21	of	of	ADP
cana-3264	240	22	multivalued	multivalued	ADJ
cana-3264	240	23	-quasi	-quasi	PROPN
cana-3264	240	24	-	-	PUNCT
cana-3264	240	25	nonexpansive	nonexpansive	ADJ
cana-3264	240	26	mappings	mapping	NOUN
cana-3264	240	27	in	in	ADP
cana-3264	240	28	modular	modular	ADJ
cana-3264	240	29	function	function	NOUN
cana-3264	240	30	spaces	space	NOUN
cana-3264	240	31	,	,	PUNCT
cana-3264	240	32	j.	j.	PROPN
cana-3264	240	33	nonlinear	nonlinear	PROPN
cana-3264	240	34	sci	sci	PROPN
cana-3264	240	35	.	.	PUNCT
cana-3264	240	36	appl	appl	PROPN
cana-3264	240	37	.	.	PROPN
cana-3264	240	38	10	10	NUM
cana-3264	240	39	,	,	PUNCT
cana-3264	240	40	3168	3168	NUM
cana-3264	240	41	3179	3179	NUM
cana-3264	240	42	.	.	PUNCT
cana-3264	241	1	[	[	X
cana-3264	241	2	12	12	NUM
cana-3264	241	3	]	]	PUNCT
cana-3264	241	4	kozlowski	kozlowski	PROPN
cana-3264	241	5	w.	w.	PROPN
cana-3264	241	6	m.	m.	PROPN
cana-3264	241	7	(	(	PUNCT
cana-3264	241	8	1988	1988	NUM
cana-3264	241	9	)	)	PUNCT
cana-3264	241	10	,	,	PUNCT
cana-3264	241	11	modular	modular	ADJ
cana-3264	241	12	function	function	NOUN
cana-3264	241	13	spaces	space	NOUN
cana-3264	241	14	,	,	PUNCT
cana-3264	241	15	dekker	dekker	NOUN
cana-3264	241	16	,	,	PUNCT
cana-3264	241	17	new	new	PROPN
cana-3264	241	18	york	york	PROPN
cana-3264	241	19	.	.	PUNCT
cana-3264	242	1	[	[	X
cana-3264	242	2	13	13	NUM
cana-3264	242	3	]	]	X
cana-3264	242	4	kumar	kumar	PROPN
cana-3264	242	5	n.	n.	PROPN
cana-3264	242	6	,	,	PUNCT
cana-3264	242	7	and	and	CCONJ
cana-3264	242	8	chauhan	chauhan	PROPN
cana-3264	242	9	(	(	PUNCT
cana-3264	242	10	gonder	gonder	PROPN
cana-3264	242	11	)	)	PUNCT
cana-3264	242	12	s.	s.	PROPN
cana-3264	242	13	s.	s.	PROPN
cana-3264	242	14	(	(	PUNCT
cana-3264	242	15	2018	2018	NUM
cana-3264	242	16	)	)	PUNCT
cana-3264	242	17	,	,	PUNCT
cana-3264	242	18	analysis	analysis	NOUN
cana-3264	242	19	of	of	ADP
cana-3264	242	20	jungck	jungck	NOUN
cana-3264	242	21	-	-	PUNCT
cana-3264	242	22	mann	mann	PROPN
cana-3264	242	23	and	and	CCONJ
cana-3264	242	24	jungck	jungck	PROPN
cana-3264	242	25	-	-	PUNCT
cana-3264	242	26	ishikawa	ishikawa	PROPN
cana-3264	242	27	iteration	iteration	NOUN
cana-3264	242	28	schemes	scheme	NOUN
cana-3264	242	29	for	for	ADP
cana-3264	242	30	their	their	PRON
cana-3264	242	31	speed	speed	NOUN
cana-3264	242	32	of	of	ADP
cana-3264	242	33	convergence	convergence	NOUN
cana-3264	242	34	,	,	PUNCT
cana-3264	242	35	aip	aip	PROPN
cana-3264	242	36	conference	conference	NOUN
cana-3264	242	37	proceedings	proceeding	NOUN
cana-3264	242	38	2050	2050	NUM
cana-3264	242	39	,	,	PUNCT
cana-3264	242	40	020011	020011	NUM
cana-3264	242	41	.	.	PUNCT
cana-3264	243	1	[	[	X
cana-3264	243	2	14	14	NUM
cana-3264	243	3	]	]	X
cana-3264	243	4	kumar	kumar	PROPN
cana-3264	243	5	n.	n.	PROPN
cana-3264	243	6	,	,	PUNCT
cana-3264	243	7	and	and	CCONJ
cana-3264	243	8	chauhan	chauhan	PROPN
cana-3264	243	9	(	(	PUNCT
cana-3264	243	10	gonder	gonder	PROPN
cana-3264	243	11	)	)	PUNCT
cana-3264	243	12	s.	s.	PROPN
cana-3264	243	13	s.	s.	PROPN
cana-3264	243	14	(	(	PUNCT
cana-3264	243	15	2018	2018	NUM
cana-3264	243	16	)	)	PUNCT
cana-3264	243	17	,	,	PUNCT
cana-3264	243	18	a	a	DET
cana-3264	243	19	review	review	NOUN
cana-3264	243	20	on	on	ADP
cana-3264	243	21	the	the	DET
cana-3264	243	22	convergence	convergence	NOUN
cana-3264	243	23	speed	speed	NOUN
cana-3264	243	24	in	in	ADP
cana-3264	243	25	the	the	DET
cana-3264	243	26	agarwal	agarwal	PROPN
cana-3264	243	27	et	et	PROPN
cana-3264	243	28	al	al	PROPN
cana-3264	243	29	.	.	PROPN
cana-3264	243	30	and	and	CCONJ
cana-3264	243	31	modified	modify	VERB
cana-3264	243	32	-	-	PUNCT
cana-3264	243	33	agarwal	agarwal	NOUN
cana-3264	243	34	iterative	iterative	NOUN
cana-3264	243	35	schemes	scheme	NOUN
cana-3264	243	36	,	,	PUNCT
cana-3264	243	37	universal	universal	ADJ
cana-3264	243	38	review	review	NOUN
cana-3264	243	39	7(10	7(10	NUM
cana-3264	243	40	)	)	PUNCT
cana-3264	243	41	,	,	PUNCT
cana-3264	243	42	163	163	NUM
cana-3264	243	43	-	-	SYM
cana-3264	243	44	167	167	NUM
cana-3264	243	45	.	.	PUNCT
cana-3264	244	1	[	[	X
cana-3264	244	2	15	15	NUM
cana-3264	244	3	]	]	X
cana-3264	244	4	kumar	kumar	PROPN
cana-3264	244	5	n.	n.	PROPN
cana-3264	244	6	,	,	PUNCT
cana-3264	244	7	and	and	CCONJ
cana-3264	244	8	chauhan	chauhan	PROPN
cana-3264	244	9	(	(	PUNCT
cana-3264	244	10	gonder	gonder	PROPN
cana-3264	244	11	)	)	PUNCT
cana-3264	244	12	s.	s.	PROPN
cana-3264	244	13	s.	s.	PROPN
cana-3264	244	14	(	(	PUNCT
cana-3264	244	15	2018	2018	NUM
cana-3264	244	16	)	)	PUNCT
cana-3264	244	17	,	,	PUNCT
cana-3264	244	18	an	an	DET
cana-3264	244	19	illustrative	illustrative	ADJ
cana-3264	244	20	analysis	analysis	NOUN
cana-3264	244	21	of	of	ADP
cana-3264	244	22	modified	modified	ADJ
cana-3264	244	23	-	-	PUNCT
cana-3264	244	24	agarwal	agarwal	NOUN
cana-3264	244	25	and	and	CCONJ
cana-3264	244	26	jungck	jungck	PROPN
cana-3264	244	27	-	-	PUNCT
cana-3264	244	28	mann	mann	PROPN
cana-3264	244	29	iterative	iterative	NOUN
cana-3264	244	30	procedures	procedure	NOUN
cana-3264	244	31	for	for	ADP
cana-3264	244	32	their	their	PRON
cana-3264	244	33	speed	speed	NOUN
cana-3264	244	34	of	of	ADP
cana-3264	244	35	convergence	convergence	NOUN
cana-3264	244	36	,	,	PUNCT
cana-3264	244	37	universal	universal	ADJ
cana-3264	244	38	review	review	NOUN
cana-3264	244	39	7(10	7(10	NUM
cana-3264	244	40	)	)	PUNCT
cana-3264	244	41	,	,	PUNCT
cana-3264	244	42	168	168	NUM
cana-3264	244	43	-173	-173	PROPN
cana-3264	244	44	.	.	PUNCT
cana-3264	245	1	[	[	X
cana-3264	245	2	16	16	NUM
cana-3264	245	3	]	]	X
cana-3264	245	4	kumar	kumar	PROPN
cana-3264	245	5	n.	n.	PROPN
cana-3264	245	6	,	,	PUNCT
cana-3264	245	7	and	and	CCONJ
cana-3264	245	8	chauhan	chauhan	PROPN
cana-3264	245	9	(	(	PUNCT
cana-3264	245	10	gonder	gonder	PROPN
cana-3264	245	11	)	)	PUNCT
cana-3264	245	12	s.	s.	PROPN
cana-3264	245	13	s.	s.	PROPN
cana-3264	245	14	(	(	PUNCT
cana-3264	245	15	2018	2018	NUM
cana-3264	245	16	)	)	PUNCT
cana-3264	245	17	,	,	PUNCT
cana-3264	245	18	examination	examination	NOUN
cana-3264	245	19	of	of	ADP
cana-3264	245	20	the	the	DET
cana-3264	245	21	speed	speed	NOUN
cana-3264	245	22	of	of	ADP
cana-3264	245	23	convergence	convergence	NOUN
cana-3264	245	24	of	of	ADP
cana-3264	245	25	the	the	DET
cana-3264	245	26	modified	modify	VERB
cana-3264	245	27	-	-	PUNCT
cana-3264	245	28	agarwal	agarwal	NOUN
cana-3264	245	29	iterative	iterative	NOUN
cana-3264	245	30	scheme	scheme	NOUN
cana-3264	245	31	,	,	PUNCT
cana-3264	245	32	universal	universal	ADJ
cana-3264	245	33	review	review	NOUN
cana-3264	245	34	7(10	7(10	NUM
cana-3264	245	35	)	)	PUNCT
cana-3264	245	36	,	,	PUNCT
cana-3264	245	37	174	174	NUM
cana-3264	245	38	-	-	SYM
cana-3264	245	39	179	179	NUM
cana-3264	245	40	.	.	PUNCT
cana-3264	246	1	[	[	X
cana-3264	246	2	17	17	NUM
cana-3264	246	3	]	]	X
cana-3264	246	4	kumar	kumar	PROPN
cana-3264	246	5	n.	n.	PROPN
cana-3264	246	6	,	,	PUNCT
cana-3264	246	7	and	and	CCONJ
cana-3264	246	8	chauhan	chauhan	PROPN
cana-3264	246	9	(	(	PUNCT
cana-3264	246	10	gonder	gonder	PROPN
cana-3264	246	11	)	)	PUNCT
cana-3264	246	12	s.	s.	PROPN
cana-3264	246	13	s.	s.	PROPN
cana-3264	246	14	(	(	PUNCT
cana-3264	246	15	2018	2018	NUM
cana-3264	246	16	)	)	PUNCT
cana-3264	246	17	,	,	PUNCT
cana-3264	246	18	speed	speed	NOUN
cana-3264	246	19	of	of	ADP
cana-3264	246	20	convergence	convergence	NOUN
cana-3264	246	21	examined	examine	VERB
cana-3264	246	22	by	by	ADP
cana-3264	246	23	exchange	exchange	NOUN
cana-3264	246	24	of	of	ADP
cana-3264	246	25	coefficients	coefficient	NOUN
cana-3264	246	26	involved	involve	VERB
cana-3264	246	27	in	in	ADP
cana-3264	246	28	modified	modify	VERB
cana-3264	246	29	ishikawa	ishikawa	PROPN
cana-3264	246	30	iterative	iterative	NOUN
cana-3264	246	31	scheme	scheme	NOUN
cana-3264	246	32	,	,	PUNCT
cana-3264	246	33	future	future	ADJ
cana-3264	246	34	aspects	aspect	NOUN
cana-3264	246	35	in	in	ADP
cana-3264	246	36	engineering	engineering	NOUN
cana-3264	246	37	sciences	science	NOUN
cana-3264	246	38	and	and	CCONJ
cana-3264	246	39	technology	technology	NOUN
cana-3264	246	40	,	,	PUNCT
cana-3264	246	41	chandigarh	chandigarh	PROPN
cana-3264	246	42	university	university	NOUN
cana-3264	246	43	2	2	NUM
cana-3264	246	44	,	,	PUNCT
cana-3264	246	45	440	440	NUM
cana-3264	246	46	-	-	SYM
cana-3264	246	47	447	447	NUM
cana-3264	246	48	.	.	PUNCT
cana-3264	247	1	[	[	X
cana-3264	247	2	18	18	NUM
cana-3264	247	3	]	]	X
cana-3264	247	4	kumar	kumar	PROPN
cana-3264	247	5	n.	n.	PROPN
cana-3264	247	6	,	,	PUNCT
cana-3264	247	7	and	and	CCONJ
cana-3264	247	8	chauhan	chauhan	PROPN
cana-3264	247	9	(	(	PUNCT
cana-3264	247	10	gonder	gonder	PROPN
cana-3264	247	11	)	)	PUNCT
cana-3264	247	12	s.	s.	PROPN
cana-3264	247	13	s.	s.	PROPN
cana-3264	247	14	(	(	PUNCT
cana-3264	247	15	2019	2019	NUM
cana-3264	247	16	)	)	PUNCT
cana-3264	247	17	,	,	PUNCT
cana-3264	247	18	self	self	NOUN
cana-3264	247	19	-	-	PUNCT
cana-3264	247	20	comparison	comparison	NOUN
cana-3264	247	21	of	of	ADP
cana-3264	247	22	convergence	convergence	NOUN
cana-3264	247	23	speed	speed	NOUN
cana-3264	247	24	in	in	ADP
cana-3264	247	25	agarwal	agarwal	PROPN
cana-3264	247	26	,	,	PUNCT
cana-3264	247	27	o'regan	o'regan	PROPN
cana-3264	247	28	&	&	CCONJ
cana-3264	247	29	sahu	sahu	PROPN
cana-3264	247	30	's	's	PART
cana-3264	247	31	s	s	NOUN
cana-3264	247	32	-	-	PUNCT
cana-3264	247	33	iteration	iteration	NOUN
cana-3264	247	34	,	,	PUNCT
cana-3264	247	35	international	international	ADJ
cana-3264	247	36	journal	journal	NOUN
cana-3264	247	37	on	on	ADP
cana-3264	247	38	emerging	emerge	VERB
cana-3264	247	39	technologies	technology	NOUN
cana-3264	247	40	10(2b	10(2b	NUM
cana-3264	247	41	)	)	PUNCT
cana-3264	247	42	,	,	PUNCT
cana-3264	247	43	105	105	NUM
cana-3264	247	44	-	-	SYM
cana-3264	247	45	108	108	NUM
cana-3264	247	46	.	.	PUNCT
cana-3264	248	1	[	[	X
cana-3264	248	2	19	19	NUM
cana-3264	248	3	]	]	X
cana-3264	248	4	kumar	kumar	PROPN
cana-3264	248	5	n.	n.	PROPN
cana-3264	248	6	,	,	PUNCT
cana-3264	248	7	and	and	CCONJ
cana-3264	248	8	chauhan	chauhan	PROPN
cana-3264	248	9	(	(	PUNCT
cana-3264	248	10	gonder	gonder	PROPN
cana-3264	248	11	)	)	PUNCT
cana-3264	248	12	s.	s.	PROPN
cana-3264	248	13	s.	s.	PROPN
cana-3264	248	14	(	(	PUNCT
cana-3264	248	15	2020	2020	NUM
cana-3264	248	16	)	)	PUNCT
cana-3264	248	17	,	,	PUNCT
cana-3264	248	18	emphasis	emphasis	NOUN
cana-3264	248	19	of	of	ADP
cana-3264	248	20	coefficients	coefficient	NOUN
cana-3264	248	21	on	on	ADP
cana-3264	248	22	the	the	DET
cana-3264	248	23	convergence	convergence	NOUN
cana-3264	248	24	rate	rate	NOUN
cana-3264	248	25	of	of	ADP
cana-3264	248	26	fixed	fix	VERB
cana-3264	248	27	point	point	NOUN
cana-3264	248	28	iterative	iterative	NOUN
cana-3264	248	29	algorithm	algorithm	NOUN
cana-3264	248	30	in	in	ADP
cana-3264	248	31	banach	banach	NOUN
cana-3264	248	32	space	space	NOUN
cana-3264	248	33	,	,	PUNCT
cana-3264	248	34	advances	advance	NOUN
cana-3264	248	35	in	in	ADP
cana-3264	248	36	mathematics	mathematic	NOUN
cana-3264	248	37	:	:	PUNCT
cana-3264	248	38	scientific	scientific	ADJ
cana-3264	248	39	journal	journal	NOUN
cana-3264	248	40	9(8	9(8	NUM
cana-3264	248	41	)	)	PUNCT
cana-3264	248	42	,	,	PUNCT
cana-3264	248	43	5621	5621	NUM
cana-3264	248	44	-5630	-5630	NOUN
cana-3264	248	45	.	.	PUNCT
cana-3264	249	1	[	[	X
cana-3264	249	2	20	20	NUM
cana-3264	249	3	]	]	X
cana-3264	249	4	kumar	kumar	PROPN
cana-3264	249	5	n.	n.	PROPN
cana-3264	249	6	,	,	PUNCT
cana-3264	249	7	and	and	CCONJ
cana-3264	249	8	chauhan	chauhan	PROPN
cana-3264	249	9	(	(	PUNCT
cana-3264	249	10	gonder	gonder	PROPN
cana-3264	249	11	)	)	PUNCT
cana-3264	249	12	s.	s.	PROPN
cana-3264	249	13	s.	s.	PROPN
cana-3264	249	14	(	(	PUNCT
cana-3264	249	15	2020	2020	NUM
cana-3264	249	16	)	)	PUNCT
cana-3264	249	17	,	,	PUNCT
cana-3264	249	18	validation	validation	NOUN
cana-3264	249	19	of	of	ADP
cana-3264	249	20	theoretical	theoretical	ADJ
cana-3264	249	21	results	result	NOUN
cana-3264	249	22	of	of	ADP
cana-3264	249	23	some	some	DET
cana-3264	249	24	fixed	fix	VERB
cana-3264	249	25	point	point	NOUN
cana-3264	249	26	iterative	iterative	NOUN
cana-3264	249	27	procedures	procedure	NOUN
cana-3264	249	28	via	via	ADP
cana-3264	249	29	numerical	numerical	ADJ
cana-3264	249	30	illustration	illustration	NOUN
cana-3264	249	31	,	,	PUNCT
cana-3264	249	32	test	test	NOUN
cana-3264	249	33	engineering	engineering	NOUN
cana-3264	249	34	&	&	CCONJ
cana-3264	249	35	management	management	PROPN
cana-3264	249	36	83	83	NUM
cana-3264	249	37	,	,	PUNCT
cana-3264	249	38	15646	15646	NUM
cana-3264	249	39	-15659	-15659	NOUN
cana-3264	249	40	.	.	PUNCT
cana-3264	250	1	[	[	X
cana-3264	250	2	21	21	NUM
cana-3264	250	3	]	]	X
cana-3264	250	4	kumar	kumar	PROPN
cana-3264	250	5	n.	n.	PROPN
cana-3264	250	6	,	,	PUNCT
cana-3264	250	7	and	and	CCONJ
cana-3264	250	8	chauhan	chauhan	PROPN
cana-3264	250	9	(	(	PUNCT
cana-3264	250	10	gonder	gonder	PROPN
cana-3264	250	11	)	)	PUNCT
cana-3264	250	12	s.	s.	PROPN
cana-3264	250	13	s.	s.	PROPN
cana-3264	250	14	(	(	PUNCT
cana-3264	250	15	2020	2020	NUM
cana-3264	250	16	)	)	PUNCT
cana-3264	250	17	,	,	PUNCT
cana-3264	250	18	impact	impact	NOUN
cana-3264	250	19	of	of	ADP
cana-3264	250	20	interchange	interchange	NOUN
cana-3264	250	21	of	of	ADP
cana-3264	250	22	coefficients	coefficient	NOUN
cana-3264	250	23	on	on	ADP
cana-3264	250	24	various	various	ADJ
cana-3264	250	25	fixed	fix	VERB
cana-3264	250	26	point	point	NOUN
cana-3264	250	27	iterative	iterative	NOUN
cana-3264	250	28	schemes	scheme	NOUN
cana-3264	250	29	,	,	PUNCT
cana-3264	250	30	advances	advance	NOUN
cana-3264	250	31	in	in	ADP
cana-3264	250	32	intelligent	intelligent	ADJ
cana-3264	250	33	systems	system	NOUN
cana-3264	250	34	and	and	CCONJ
cana-3264	250	35	computing	computing	NOUN
cana-3264	250	36	(	(	PUNCT
cana-3264	250	37	aisc	aisc	PROPN
cana-3264	250	38	)	)	PUNCT
cana-3264	250	39	,	,	PUNCT
cana-3264	250	40	series	series	NOUN
cana-3264	250	41	of	of	ADP
cana-3264	250	42	springer	springer	NOUN
cana-3264	250	43	2020	2020	NUM
cana-3264	250	44	,	,	PUNCT
cana-3264	250	45	41	41	NUM
cana-3264	250	46	-53	-53	NOUN
cana-3264	250	47	.	.	PUNCT
cana-3264	251	1	[	[	X
cana-3264	251	2	22	22	NUM
cana-3264	251	3	]	]	X
cana-3264	251	4	kumar	kumar	PROPN
cana-3264	251	5	n.	n.	PROPN
cana-3264	251	6	,	,	PUNCT
cana-3264	251	7	and	and	CCONJ
cana-3264	251	8	chauhan	chauhan	PROPN
cana-3264	251	9	(	(	PUNCT
cana-3264	251	10	gonder	gonder	PROPN
cana-3264	251	11	)	)	PUNCT
cana-3264	251	12	s.	s.	PROPN
cana-3264	251	13	s.	s.	PROPN
cana-3264	251	14	(	(	PUNCT
cana-3264	251	15	2020	2020	NUM
cana-3264	251	16	)	)	PUNCT
cana-3264	251	17	,	,	PUNCT
cana-3264	251	18	a	a	DET
cana-3264	251	19	study	study	NOUN
cana-3264	251	20	of	of	ADP
cana-3264	251	21	convergence	convergence	NOUN
cana-3264	251	22	behavior	behavior	NOUN
cana-3264	251	23	of	of	ADP
cana-3264	251	24	fixed	fix	VERB
cana-3264	251	25	point	point	NOUN
cana-3264	251	26	iterative	iterative	NOUN
cana-3264	251	27	processes	process	NOUN
cana-3264	251	28	via	via	ADP
cana-3264	251	29	computer	computer	NOUN
cana-3264	251	30	simulation	simulation	NOUN
cana-3264	251	31	,	,	PUNCT
cana-3264	251	32	advances	advance	NOUN
cana-3264	251	33	and	and	CCONJ
cana-3264	251	34	applications	application	NOUN
cana-3264	251	35	in	in	ADP
cana-3264	251	36	mathematical	mathematical	ADJ
cana-3264	251	37	sciences	science	NOUN
cana-3264	251	38	,	,	PUNCT
cana-3264	251	39	mili	mili	PROPN
cana-3264	251	40	publications	publication	NOUN
cana-3264	251	41	,	,	PUNCT
cana-3264	251	42	19(9	19(9	NUM
cana-3264	251	43	)	)	PUNCT
cana-3264	251	44	,	,	PUNCT
cana-3264	251	45	943	943	NUM
cana-3264	251	46	-	-	SYM
cana-3264	251	47	953	953	NUM
cana-3264	251	48	.	.	PUNCT
cana-3264	252	1	[	[	X
cana-3264	252	2	23	23	NUM
cana-3264	252	3	]	]	X
cana-3264	252	4	markin	markin	PROPN
cana-3264	252	5	j.	j.	PROPN
cana-3264	252	6	t.	t.	PROPN
cana-3264	252	7	(	(	PUNCT
cana-3264	252	8	1968	1968	NUM
cana-3264	252	9	)	)	PUNCT
cana-3264	252	10	,	,	PUNCT
cana-3264	252	11	a	a	DET
cana-3264	252	12	fixed	fix	VERB
cana-3264	252	13	point	point	NOUN
cana-3264	252	14	theorem	theorem	NOUN
cana-3264	252	15	for	for	ADP
cana-3264	252	16	set	set	NOUN
cana-3264	252	17	-	-	PUNCT
cana-3264	252	18	valued	value	VERB
cana-3264	252	19	mappings	mapping	NOUN
cana-3264	252	20	,	,	PUNCT
cana-3264	252	21	bull	bull	NOUN
cana-3264	252	22	.	.	PUNCT
cana-3264	253	1	amer	amer	PROPN
cana-3264	253	2	.	.	PUNCT
cana-3264	253	3	math	math	PROPN
cana-3264	253	4	.	.	PUNCT
cana-3264	254	1	soc	soc	PROPN
cana-3264	254	2	.	.	PUNCT
cana-3264	255	1	74	74	NUM
cana-3264	255	2	,	,	PUNCT
cana-3264	255	3	639	639	NUM
cana-3264	255	4	-	-	SYM
cana-3264	255	5	640	640	NUM
cana-3264	255	6	.	.	PUNCT
cana-3264	256	1	[	[	X
cana-3264	256	2	24	24	NUM
cana-3264	256	3	]	]	PUNCT
cana-3264	256	4	markin	markin	ADJ
cana-3264	256	5	j.	j.	PROPN
cana-3264	256	6	t.	t.	PROPN
cana-3264	256	7	(	(	PUNCT
cana-3264	256	8	1973	1973	NUM
cana-3264	256	9	)	)	PUNCT
cana-3264	256	10	,	,	PUNCT
cana-3264	256	11	continuous	continuous	ADJ
cana-3264	256	12	dependence	dependence	NOUN
cana-3264	256	13	of	of	ADP
cana-3264	256	14	fixed	fix	VERB
cana-3264	256	15	point	point	NOUN
cana-3264	256	16	sets	set	NOUN
cana-3264	256	17	,	,	PUNCT
cana-3264	256	18	proc	proc	NOUN
cana-3264	256	19	.	.	PUNCT
cana-3264	257	1	amer	amer	PROPN
cana-3264	257	2	.	.	PUNCT
cana-3264	257	3	math	math	PROPN
cana-3264	257	4	.	.	PUNCT
cana-3264	258	1	soc	soc	PROPN
cana-3264	258	2	.	.	PUNCT
cana-3264	259	1	38	38	NUM
cana-3264	259	2	,	,	PUNCT
cana-3264	259	3	545–547	545–547	NUM
cana-3264	259	4	.	.	PUNCT
cana-3264	260	1	[	[	X
cana-3264	260	2	25	25	NUM
cana-3264	260	3	]	]	X
cana-3264	260	4	mizoguchi	mizoguchi	PROPN
cana-3264	260	5	n.	n.	PROPN
cana-3264	260	6	,	,	PUNCT
cana-3264	260	7	and	and	CCONJ
cana-3264	260	8	takahashi	takahashi	PROPN
cana-3264	260	9	w.	w.	PROPN
cana-3264	260	10	(	(	PUNCT
cana-3264	260	11	1989	1989	NUM
cana-3264	260	12	)	)	PUNCT
cana-3264	260	13	,	,	PUNCT
cana-3264	260	14	fixed	fix	VERB
cana-3264	260	15	point	point	NOUN
cana-3264	260	16	theorems	theorem	NOUN
cana-3264	260	17	for	for	ADP
cana-3264	260	18	multi	multi	ADJ
cana-3264	260	19	-	-	ADJ
cana-3264	260	20	valued	value	VERB
cana-3264	260	21	mappings	mapping	NOUN
cana-3264	260	22	on	on	ADP
cana-3264	260	23	complete	complete	ADJ
cana-3264	260	24	metric	metric	ADJ
cana-3264	260	25	spaces	space	NOUN
cana-3264	260	26	,	,	PUNCT
cana-3264	260	27	j.	j.	PROPN
cana-3264	260	28	math	math	PROPN
cana-3264	260	29	.	.	PUNCT
cana-3264	261	1	anal	anal	PROPN
cana-3264	261	2	.	.	PUNCT
cana-3264	262	1	appl	appl	PROPN
cana-3264	262	2	.	.	PROPN
cana-3264	263	1	141	141	NUM
cana-3264	263	2	,	,	PUNCT
cana-3264	263	3	177	177	NUM
cana-3264	263	4	-	-	SYM
cana-3264	263	5	188	188	NUM
cana-3264	263	6	.	.	PUNCT
cana-3264	264	1	[	[	X
cana-3264	264	2	26	26	NUM
cana-3264	264	3	]	]	X
cana-3264	264	4	musielak	musielak	NOUN
cana-3264	264	5	j.	j.	PROPN
cana-3264	264	6	,	,	PUNCT
cana-3264	264	7	and	and	CCONJ
cana-3264	264	8	orlicz	orlicz	PROPN
cana-3264	264	9	w.	w.	PROPN
cana-3264	264	10	(	(	PUNCT
cana-3264	264	11	1959	1959	NUM
cana-3264	264	12	)	)	PUNCT
cana-3264	264	13	,	,	PUNCT
cana-3264	264	14	on	on	ADP
cana-3264	264	15	modular	modular	ADJ
cana-3264	264	16	spaces	space	NOUN
cana-3264	264	17	,	,	PUNCT
cana-3264	264	18	stud	stud	NOUN
cana-3264	264	19	.	.	PUNCT
cana-3264	264	20	math	math	NOUN
cana-3264	264	21	.	.	PUNCT
cana-3264	265	1	18	18	NUM
cana-3264	265	2	,	,	PUNCT
cana-3264	265	3	591	591	NUM
cana-3264	265	4	-	-	SYM
cana-3264	265	5	597	597	NUM
cana-3264	265	6	.	.	PUNCT
cana-3264	266	1	[	[	X
cana-3264	266	2	27	27	NUM
cana-3264	266	3	]	]	X
cana-3264	266	4	nadler	nadler	PROPN
cana-3264	266	5	s.	s.	PROPN
cana-3264	266	6	b.	b.	PROPN
cana-3264	266	7	(	(	PUNCT
cana-3264	266	8	1969	1969	NUM
cana-3264	266	9	)	)	PUNCT
cana-3264	266	10	,	,	PUNCT
cana-3264	266	11	multivalued	multivalue	VERB
cana-3264	266	12	contraction	contraction	NOUN
cana-3264	266	13	mappings	mapping	NOUN
cana-3264	266	14	,	,	PUNCT
cana-3264	266	15	pacific	pacific	PROPN
cana-3264	266	16	j.	j.	PROPN
cana-3264	266	17	math	math	PROPN
cana-3264	266	18	.	.	PUNCT
cana-3264	267	1	30	30	NUM
cana-3264	267	2	,	,	PUNCT
cana-3264	267	3	475	475	NUM
cana-3264	267	4	-	-	SYM
cana-3264	267	5	488	488	NUM
cana-3264	267	6	.	.	PUNCT
cana-3264	268	1	[	[	X
cana-3264	268	2	28	28	NUM
cana-3264	268	3	]	]	X
cana-3264	268	4	nakano	nakano	PROPN
cana-3264	268	5	h.	h.	PROPN
cana-3264	268	6	(	(	PUNCT
cana-3264	268	7	1950	1950	NUM
cana-3264	268	8	)	)	PUNCT
cana-3264	268	9	,	,	PUNCT
cana-3264	268	10	modular	modular	ADJ
cana-3264	268	11	semi	semi	ADJ
cana-3264	268	12	-	-	ADJ
cana-3264	268	13	ordered	ordered	ADJ
cana-3264	268	14	spaces	space	NOUN
cana-3264	268	15	,	,	PUNCT
cana-3264	268	16	maruzen	maruzen	NOUN
cana-3264	268	17	,	,	PUNCT
cana-3264	268	18	tokyo	tokyo	PROPN
cana-3264	268	19	.	.	PUNCT
cana-3264	269	1	[	[	X
cana-3264	269	2	29	29	NUM
cana-3264	269	3	]	]	X
cana-3264	269	4	okeke	okeke	PROPN
cana-3264	269	5	g.	g.	PROPN
cana-3264	269	6	a.	a.	PROPN
cana-3264	269	7	,	,	PUNCT
cana-3264	269	8	bishop	bishop	PROPN
cana-3264	269	9	s.	s.	PROPN
cana-3264	269	10	a.	a.	PROPN
cana-3264	269	11	,	,	PUNCT
cana-3264	269	12	and	and	CCONJ
cana-3264	269	13	khan	khan	PROPN
cana-3264	269	14	s.	s.	PROPN
cana-3264	269	15	h.	h.	PROPN
cana-3264	269	16	(	(	PUNCT
cana-3264	269	17	2018	2018	NUM
cana-3264	269	18	)	)	PUNCT
cana-3264	269	19	,	,	PUNCT
cana-3264	269	20	iterative	iterative	NOUN
cana-3264	269	21	approximation	approximation	NOUN
cana-3264	269	22	of	of	ADP
cana-3264	269	23	fixed	fix	VERB
cana-3264	269	24	point	point	NOUN
cana-3264	269	25	of	of	ADP
cana-3264	269	26	multivalued	multivalued	ADJ
cana-3264	269	27	-quasinonexpansive	-quasinonexpansive	ADJ
cana-3264	269	28	mappings	mapping	NOUN
cana-3264	269	29	in	in	ADP
cana-3264	269	30	modular	modular	ADJ
cana-3264	269	31	function	function	NOUN
cana-3264	269	32	spaces	space	NOUN
cana-3264	269	33	with	with	ADP
cana-3264	269	34	applications	application	NOUN
cana-3264	269	35	,	,	PUNCT
cana-3264	269	36	j.	j.	PROPN
cana-3264	269	37	function	function	PROPN
cana-3264	269	38	spaces	space	VERB
cana-3264	269	39	2018	2018	NUM
cana-3264	269	40	,	,	PUNCT
cana-3264	269	41	1	1	NUM
cana-3264	269	42	-	-	SYM
cana-3264	269	43	9	9	NUM
cana-3264	269	44	.	.	PUNCT
cana-3264	270	1	[	[	X
cana-3264	270	2	30	30	NUM
cana-3264	270	3	]	]	X
cana-3264	270	4	picard	picard	PROPN
cana-3264	270	5	e.	e.	PROPN
cana-3264	270	6	(	(	PUNCT
cana-3264	270	7	1890	1890	NUM
cana-3264	270	8	)	)	PUNCT
cana-3264	270	9	,	,	PUNCT
cana-3264	270	10	memoire	memoire	PROPN
cana-3264	270	11	sur	sur	PROPN
cana-3264	270	12	la	la	PROPN
cana-3264	270	13	theorie	theorie	PROPN
cana-3264	270	14	des	des	PROPN
cana-3264	270	15	equations	equations	PROPN
cana-3264	270	16	aux	aux	PROPN
cana-3264	270	17	derivees	derive	VERB
cana-3264	270	18	partielles	partielle	NOUN
cana-3264	270	19	et	et	PROPN
cana-3264	270	20	la	la	PROPN
cana-3264	270	21	methode	methode	PROPN
cana-3264	270	22	des	des	PROPN
cana-3264	270	23	approximations	approximations	PROPN
cana-3264	270	24	successives	successive	NOUN
cana-3264	270	25	.	.	PUNCT
cana-3264	271	1	j.	j.	PROPN
cana-3264	271	2	math	math	PROPN
cana-3264	271	3	.	.	PUNCT
cana-3264	272	1	pures	pure	NOUN
cana-3264	272	2	appl	appl	PROPN
cana-3264	272	3	.	.	PROPN
cana-3264	273	1	6	6	NUM
cana-3264	273	2	,	,	PUNCT
cana-3264	273	3	145–210	145–210	NUM
cana-3264	273	4	.	.	PUNCT
cana-3264	274	1	[	[	X
cana-3264	274	2	31	31	NUM
cana-3264	274	3	]	]	PUNCT
cana-3264	274	4	schu	schu	PROPN
cana-3264	274	5	j.	j.	PROPN
cana-3264	274	6	(	(	PUNCT
cana-3264	274	7	1991	1991	NUM
cana-3264	274	8	)	)	PUNCT
cana-3264	274	9	,	,	PUNCT
cana-3264	274	10	weak	weak	ADJ
cana-3264	274	11	and	and	CCONJ
cana-3264	274	12	strong	strong	ADJ
cana-3264	274	13	convergence	convergence	NOUN
cana-3264	274	14	to	to	ADP
cana-3264	274	15	fixed	fix	VERB
cana-3264	274	16	points	point	NOUN
cana-3264	274	17	of	of	ADP
cana-3264	274	18	asymptotically	asymptotically	ADV
cana-3264	274	19	nonexpansive	nonexpansive	ADJ
cana-3264	274	20	mappings	mapping	NOUN
cana-3264	274	21	,	,	PUNCT
cana-3264	274	22	bull	bull	NOUN
cana-3264	274	23	.	.	PUNCT
cana-3264	275	1	aust	aust	PROPN
cana-3264	275	2	.	.	PUNCT
cana-3264	275	3	math	math	PROPN
cana-3264	275	4	.	.	PUNCT
cana-3264	276	1	soc	soc	PROPN
cana-3264	276	2	.	.	PUNCT
cana-3264	277	1	43(1	43(1	X
cana-3264	277	2	)	)	PUNCT
cana-3264	277	3	,	,	PUNCT
cana-3264	277	4	153–159	153–159	NUM
cana-3264	277	5	.	.	PUNCT
cana-3264	278	1	[	[	X
cana-3264	278	2	32	32	NUM
cana-3264	278	3	]	]	PUNCT
cana-3264	278	4	senter	senter	PROPN
cana-3264	278	5	h.	h.	PROPN
cana-3264	278	6	f.	f.	PROPN
cana-3264	278	7	(	(	PUNCT
cana-3264	278	8	1974	1974	NUM
cana-3264	278	9	)	)	PUNCT
cana-3264	278	10	,	,	PUNCT
cana-3264	278	11	w.	w.	PROPN
cana-3264	278	12	g.	g.	PROPN
cana-3264	278	13	dotson	dotson	PROPN
cana-3264	278	14	,	,	PUNCT
cana-3264	278	15	approximating	approximate	VERB
cana-3264	278	16	fixed	fix	VERB
cana-3264	278	17	points	point	NOUN
cana-3264	278	18	of	of	ADP
cana-3264	278	19	nonexpansive	nonexpansive	ADJ
cana-3264	278	20	mappings	mapping	NOUN
cana-3264	278	21	,	,	PUNCT
cana-3264	278	22	proc	proc	NOUN
cana-3264	278	23	.	.	PUNCT
cana-3264	279	1	amer	amer	PROPN
cana-3264	279	2	.	.	PUNCT
cana-3264	279	3	math	math	PROPN
cana-3264	279	4	.	.	PUNCT
cana-3264	280	1	soc	soc	PROPN
cana-3264	280	2	.	.	PUNCT
cana-3264	281	1	44(2	44(2	NOUN
cana-3264	281	2	)	)	PUNCT
cana-3264	281	3	,	,	PUNCT
cana-3264	281	4	375	375	NUM
cana-3264	281	5	-	-	SYM
cana-3264	281	6	380	380	NUM
cana-3264	281	7	.	.	PUNCT