id	sid	tid	token	lemma	pos
cana-3680	1	1	communications	communication	NOUN
cana-3680	1	2	on	on	ADP
cana-3680	1	3	applied	apply	VERB
cana-3680	1	4	nonlinear	nonlinear	ADJ
cana-3680	1	5	analysis	analysis	NOUN
cana-3680	1	6	issn	issn	NOUN
cana-3680	1	7	:	:	PUNCT
cana-3680	1	8	1074	1074	NUM
cana-3680	1	9	-	-	PUNCT
cana-3680	1	10	133x	133x	NUM
cana-3680	1	11	vol	vol	NOUN
cana-3680	1	12	32	32	NUM
cana-3680	1	13	no	no	NOUN
cana-3680	1	14	.	.	PUNCT
cana-3680	2	1	8s	8s	PROPN
cana-3680	2	2	(	(	PUNCT
cana-3680	2	3	2025	2025	NUM
cana-3680	2	4	)	)	PUNCT
cana-3680	2	5	344	344	NUM
cana-3680	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3680	2	7	convergence	convergence	NOUN
cana-3680	2	8	analysis	analysis	NOUN
cana-3680	2	9	of	of	ADP
cana-3680	2	10	𝐒-iteration	𝐒-iteration	NOUN
cana-3680	2	11	process	process	NOUN
cana-3680	2	12	of	of	ADP
cana-3680	2	13	generalized	generalized	ADJ
cana-3680	2	14	nonlinear	nonlinear	ADJ
cana-3680	2	15	variational	variational	ADJ
cana-3680	2	16	inclusion	inclusion	NOUN
cana-3680	2	17	problem	problem	NOUN
cana-3680	2	18	𝐒𝐲𝐞𝐝	𝐒𝐲𝐞𝐝	PROPN
cana-3680	2	19	𝐒𝐡𝐚𝐤𝐚𝐢𝐛𝐈𝐫𝐟𝐚𝐧∗	𝐒𝐡𝐚𝐤𝐚𝐢𝐛𝐈𝐫𝐟𝐚𝐧∗	PROPN
cana-3680	2	20	,	,	PUNCT
cana-3680	2	21	𝐈𝐪𝐛𝐚𝐥	𝐈𝐪𝐛𝐚𝐥	PROPN
cana-3680	2	22	𝐀𝐡𝐦𝐚𝐝∗∗	𝐀𝐡𝐦𝐚𝐝∗∗	NOUN
cana-3680	2	23	,	,	PUNCT
cana-3680	2	24	𝐌𝐨𝐧𝐢𝐫𝐮𝐥	𝐌𝐨𝐧𝐢𝐫𝐮𝐥	PROPN
cana-3680	2	25	𝐈𝐬𝐥𝐚𝐦∗	𝐈𝐬𝐥𝐚𝐦∗	NOUN
cana-3680	2	26	,	,	PUNCT
cana-3680	2	27	𝐌𝐨𝐡𝐝.	𝐌𝐨𝐡𝐝.	PUNCT
cana-3680	3	1	𝐅𝐚𝐥𝐚𝐡𝐚𝐭	𝐅𝐚𝐥𝐚𝐡𝐚𝐭	ADJ
cana-3680	3	2	𝐊𝐡𝐚𝐧∗	𝐊𝐡𝐚𝐧∗	NOUN
cana-3680	3	3	,	,	PUNCT
cana-3680	3	4	𝐌𝐝.𝐇𝐢𝐟𝐳𝐮𝐫	𝐌𝐝.𝐇𝐢𝐟𝐳𝐮𝐫	PROPN
cana-3680	3	5	𝐑𝐚𝐡𝐚𝐦𝐚𝐧∗	𝐑𝐚𝐡𝐚𝐦𝐚𝐧∗	PROPN
cana-3680	3	6	*	*	PROPN
cana-3680	3	7	department	department	PROPN
cana-3680	3	8	of	of	ADP
cana-3680	3	9	mathematics	mathematics	PROPN
cana-3680	3	10	,	,	PUNCT
cana-3680	3	11	aligarh	aligarh	PROPN
cana-3680	3	12	muslim	muslim	PROPN
cana-3680	3	13	university	university	PROPN
cana-3680	3	14	,	,	PUNCT
cana-3680	3	15	aligarh	aligarh	PROPN
cana-3680	3	16	,	,	PUNCT
cana-3680	3	17	202002	202002	NUM
cana-3680	3	18	,	,	PUNCT
cana-3680	3	19	u.p	u.p	PROPN
cana-3680	3	20	.	.	PROPN
cana-3680	3	21	,	,	PUNCT
cana-3680	3	22	india	india	PROPN
cana-3680	3	23	*	*	PUNCT
cana-3680	3	24	*	*	PROPN
cana-3680	3	25	department	department	PROPN
cana-3680	3	26	of	of	ADP
cana-3680	3	27	mechanical	mechanical	ADJ
cana-3680	3	28	engineering	engineering	NOUN
cana-3680	3	29	,	,	PUNCT
cana-3680	3	30	college	college	NOUN
cana-3680	3	31	of	of	ADP
cana-3680	3	32	engineering	engineering	PROPN
cana-3680	3	33	,	,	PUNCT
cana-3680	3	34	qassim	qassim	PROPN
cana-3680	3	35	university	university	PROPN
cana-3680	3	36	,	,	PUNCT
cana-3680	3	37	buraidah	buraidah	PROPN
cana-3680	3	38	,	,	PUNCT
cana-3680	3	39	al	al	PROPN
cana-3680	3	40	-	-	PUNCT
cana-3680	3	41	qassim	qassim	PROPN
cana-3680	3	42	,	,	PUNCT
cana-3680	3	43	saudi	saudi	PROPN
cana-3680	3	44	arabia	arabia	PROPN
cana-3680	3	45	e	e	PROPN
cana-3680	3	46	-	-	NOUN
cana-3680	3	47	mail	mail	NOUN
cana-3680	3	48	:	:	PUNCT
cana-3680	3	49	ssirfan.mm@amu.ac.in	ssirfan.mm@amu.ac.in	NUM
cana-3680	3	50	,	,	PUNCT
cana-3680	3	51	i.ahmad@qu.edu.sa	i.ahmad@qu.edu.sa	PROPN
cana-3680	3	52	,	,	PUNCT
cana-3680	3	53	monirul.amu@gmail.com	monirul.amu@gmail.com	PROPN
cana-3680	3	54	,	,	PUNCT
cana-3680	3	55	gi3635@myamu.ac.in	gi3635@myamu.ac.in	PROPN
cana-3680	3	56	,	,	PUNCT
cana-3680	3	57	mdhifzurrahaman98@gmail.com	mdhifzurrahaman98@gmail.com	X
cana-3680	3	58	article	article	NOUN
cana-3680	3	59	history	history	NOUN
cana-3680	3	60	:	:	PUNCT
cana-3680	3	61	received	receive	VERB
cana-3680	3	62	:	:	PUNCT
cana-3680	3	63	28	28	NUM
cana-3680	3	64	-	-	SYM
cana-3680	3	65	10	10	NUM
cana-3680	3	66	-	-	PUNCT
cana-3680	3	67	2024	2024	NUM
cana-3680	3	68	revised:28	revised:28	NOUN
cana-3680	3	69	-	-	SYM
cana-3680	3	70	11	11	NUM
cana-3680	3	71	-	-	PUNCT
cana-3680	3	72	2024	2024	NUM
cana-3680	3	73	accepted:28	accepted:28	NUM
cana-3680	3	74	-	-	PUNCT
cana-3680	3	75	12	12	NUM
cana-3680	3	76	-	-	PUNCT
cana-3680	3	77	2024	2024	NUM
cana-3680	3	78	abstract	abstract	NOUN
cana-3680	3	79	:	:	PUNCT
cana-3680	3	80	to	to	PART
cana-3680	3	81	obtain	obtain	VERB
cana-3680	3	82	the	the	DET
cana-3680	3	83	solution	solution	NOUN
cana-3680	3	84	of	of	ADP
cana-3680	3	85	generalized	generalized	ADJ
cana-3680	3	86	variational	variational	ADJ
cana-3680	3	87	inclusion	inclusion	NOUN
cana-3680	3	88	involving	involve	VERB
cana-3680	3	89	a	a	PRON
cana-3680	3	90	(	(	PUNCT
cana-3680	3	91	.	.	PUNCT
cana-3680	3	92	,	,	PUNCT
cana-3680	3	93	.	.	PUNCT
cana-3680	3	94	)	)	PUNCT
cana-3680	4	1	co	co	ADJ
cana-3680	4	2	-	-	ADJ
cana-3680	4	3	coercive	coercive	ADJ
cana-3680	4	4	operators	operator	NOUN
cana-3680	4	5	,	,	PUNCT
cana-3680	4	6	a	a	DET
cana-3680	4	7	proposal	proposal	NOUN
cana-3680	4	8	for	for	ADP
cana-3680	4	9	e	e	NOUN
cana-3680	4	10	-	-	NOUN
cana-3680	4	11	iteration	iteration	NOUN
cana-3680	4	12	has	have	AUX
cana-3680	4	13	also	also	ADV
cana-3680	4	14	been	be	AUX
cana-3680	4	15	proposed	propose	VERB
cana-3680	4	16	and	and	CCONJ
cana-3680	4	17	analyzed	analyze	VERB
cana-3680	4	18	.	.	PUNCT
cana-3680	5	1	existence	existence	NOUN
cana-3680	5	2	theorems	theorem	VERB
cana-3680	5	3	for	for	ADP
cana-3680	5	4	the	the	DET
cana-3680	5	5	solution	solution	NOUN
cana-3680	5	6	of	of	ADP
cana-3680	5	7	generalized	generalized	ADJ
cana-3680	5	8	variational	variational	ADJ
cana-3680	5	9	inclusion	inclusion	NOUN
cana-3680	5	10	are	be	AUX
cana-3680	5	11	proved	prove	VERB
cana-3680	5	12	by	by	ADP
cana-3680	5	13	using	use	VERB
cana-3680	5	14	cocoercive	cocoercive	ADJ
cana-3680	5	15	and	and	CCONJ
cana-3680	5	16	relaxed	relaxed	ADJ
cana-3680	5	17	co	co	ADJ
cana-3680	5	18	-	-	ADJ
cana-3680	5	19	coercive	coercive	ADJ
cana-3680	5	20	mappings	mapping	NOUN
cana-3680	5	21	.	.	PUNCT
cana-3680	6	1	also	also	ADV
cana-3680	6	2	,	,	PUNCT
cana-3680	6	3	certain	certain	ADJ
cana-3680	6	4	particular	particular	ADJ
cana-3680	6	5	cases	case	NOUN
cana-3680	6	6	,	,	PUNCT
cana-3680	6	7	along	along	ADP
cana-3680	6	8	with	with	ADP
cana-3680	6	9	their	their	PRON
cana-3680	6	10	comparison	comparison	NOUN
cana-3680	6	11	with	with	ADP
cana-3680	6	12	some	some	DET
cana-3680	6	13	methods	method	NOUN
cana-3680	6	14	,	,	PUNCT
cana-3680	6	15	have	have	AUX
cana-3680	6	16	been	be	AUX
cana-3680	6	17	studied	study	VERB
cana-3680	6	18	.	.	PUNCT
cana-3680	7	1	finally	finally	ADV
cana-3680	7	2	,	,	PUNCT
cana-3680	7	3	we	we	PRON
cana-3680	7	4	present	present	VERB
cana-3680	7	5	a	a	DET
cana-3680	7	6	numerical	numerical	ADJ
cana-3680	7	7	example	example	NOUN
cana-3680	7	8	to	to	PART
cana-3680	7	9	exemplify	exemplify	VERB
cana-3680	7	10	and	and	CCONJ
cana-3680	7	11	show	show	VERB
cana-3680	7	12	the	the	DET
cana-3680	7	13	convergence	convergence	NOUN
cana-3680	7	14	of	of	ADP
cana-3680	7	15	the	the	DET
cana-3680	7	16	suggested	suggest	VERB
cana-3680	7	17	algorithm	algorithm	NOUN
cana-3680	7	18	in	in	ADP
cana-3680	7	19	support	support	NOUN
cana-3680	7	20	of	of	ADP
cana-3680	7	21	our	our	PRON
cana-3680	7	22	main	main	ADJ
cana-3680	7	23	result	result	NOUN
cana-3680	7	24	,	,	PUNCT
cana-3680	7	25	which	which	PRON
cana-3680	7	26	has	have	AUX
cana-3680	7	27	been	be	AUX
cana-3680	7	28	formulated	formulate	VERB
cana-3680	7	29	by	by	ADP
cana-3680	7	30	using	use	VERB
cana-3680	7	31	matlab	matlab	PROPN
cana-3680	7	32	programming	programming	NOUN
cana-3680	7	33	.	.	PUNCT
cana-3680	8	1	keywords	keyword	NOUN
cana-3680	8	2	:	:	PUNCT
cana-3680	8	3	algorithm	algorithm	NOUN
cana-3680	8	4	,	,	PUNCT
cana-3680	8	5	s	s	PART
cana-3680	8	6	-iterative	-iterative	ADJ
cana-3680	8	7	process	process	NOUN
cana-3680	8	8	,	,	PUNCT
cana-3680	8	9	a	a	PRON
cana-3680	8	10	(	(	PUNCT
cana-3680	8	11	.	.	PUNCT
cana-3680	8	12	,	,	PUNCT
cana-3680	8	13	.	.	PUNCT
cana-3680	8	14	)	)	PUNCT
cana-3680	9	1	-co	-co	ADJ
cana-3680	9	2	-	-	ADJ
cana-3680	9	3	coercive	coercive	ADJ
cana-3680	9	4	operator	operator	NOUN
cana-3680	9	5	,	,	PUNCT
cana-3680	9	6	resolvent	resolvent	ADJ
cana-3680	9	7	operator	operator	NOUN
cana-3680	9	8	,	,	PUNCT
cana-3680	9	9	sequence	sequence	NOUN
cana-3680	9	10	analysis	analysis	NOUN
cana-3680	9	11	1	1	NUM
cana-3680	9	12	.	.	PUNCT
cana-3680	10	1	introduction	introduction	NOUN
cana-3680	10	2	variational	variational	ADJ
cana-3680	10	3	inclusions	inclusion	NOUN
cana-3680	10	4	represent	represent	VERB
cana-3680	10	5	an	an	DET
cana-3680	10	6	extended	extended	ADJ
cana-3680	10	7	category	category	NOUN
cana-3680	10	8	of	of	ADP
cana-3680	10	9	problems	problem	NOUN
cana-3680	10	10	beyond	beyond	ADP
cana-3680	10	11	variational	variational	ADJ
cana-3680	10	12	inequalities	inequality	NOUN
cana-3680	10	13	,	,	PUNCT
cana-3680	10	14	and	and	CCONJ
cana-3680	10	15	they	they	PRON
cana-3680	10	16	hold	hold	VERB
cana-3680	10	17	a	a	DET
cana-3680	10	18	significant	significant	ADJ
cana-3680	10	19	and	and	CCONJ
cana-3680	10	20	elegant	elegant	ADJ
cana-3680	10	21	position	position	NOUN
cana-3680	10	22	in	in	ADP
cana-3680	10	23	the	the	DET
cana-3680	10	24	fields	field	NOUN
cana-3680	10	25	of	of	ADP
cana-3680	10	26	optimization	optimization	NOUN
cana-3680	10	27	and	and	CCONJ
cana-3680	10	28	nonlinear	nonlinear	ADJ
cana-3680	10	29	analysis	analysis	NOUN
cana-3680	10	30	.	.	PUNCT
cana-3680	11	1	variational	variational	ADJ
cana-3680	11	2	inclusions	inclusion	NOUN
cana-3680	11	3	/	/	SYM
cana-3680	11	4	inequalities	inequality	NOUN
cana-3680	11	5	involve	involve	VERB
cana-3680	11	6	applications	application	NOUN
cana-3680	11	7	in	in	ADP
cana-3680	11	8	different	different	ADJ
cana-3680	11	9	fields	field	NOUN
cana-3680	11	10	like	like	ADP
cana-3680	11	11	mechanics	mechanic	NOUN
cana-3680	11	12	,	,	PUNCT
cana-3680	11	13	physics	physics	NOUN
cana-3680	11	14	,	,	PUNCT
cana-3680	11	15	non	non	ADJ
cana-3680	11	16	-	-	ADJ
cana-3680	11	17	linear	linear	ADJ
cana-3680	11	18	programming	programming	NOUN
cana-3680	11	19	,	,	PUNCT
cana-3680	11	20	optimization	optimization	NOUN
cana-3680	11	21	,	,	PUNCT
cana-3680	11	22	and	and	CCONJ
cana-3680	11	23	control	control	NOUN
cana-3680	11	24	theory	theory	NOUN
cana-3680	11	25	.	.	PUNCT
cana-3680	12	1	for	for	ADP
cana-3680	12	2	details	detail	NOUN
cana-3680	12	3	,	,	PUNCT
cana-3680	12	4	see	see	VERB
cana-3680	12	5	[	[	X
cana-3680	12	6	1	1	NUM
cana-3680	12	7	,	,	PUNCT
cana-3680	12	8	4–11	4–11	NOUN
cana-3680	12	9	,	,	PUNCT
cana-3680	12	10	13–15	13–15	NUM
cana-3680	12	11	,	,	PUNCT
cana-3680	12	12	17–19	17–19	NUM
cana-3680	12	13	]	]	PUNCT
cana-3680	12	14	and	and	CCONJ
cana-3680	12	15	the	the	DET
cana-3680	12	16	references	reference	NOUN
cana-3680	12	17	therein	therein	ADV
cana-3680	12	18	.	.	PUNCT
cana-3680	13	1	to	to	PART
cana-3680	13	2	solve	solve	VERB
cana-3680	13	3	variational	variational	ADJ
cana-3680	13	4	inclusion	inclusion	NOUN
cana-3680	13	5	many	many	ADJ
cana-3680	13	6	iterative	iterative	NOUN
cana-3680	13	7	techniques	technique	NOUN
cana-3680	13	8	have	have	AUX
cana-3680	13	9	been	be	AUX
cana-3680	13	10	developed	develop	VERB
cana-3680	13	11	;	;	PUNCT
cana-3680	13	12	see	see	VERB
cana-3680	13	13	for	for	ADP
cana-3680	13	14	example	example	NOUN
cana-3680	13	15	,	,	PUNCT
cana-3680	13	16	[	[	X
cana-3680	13	17	6,8,10,12,15,16	6,8,10,12,15,16	NUM
cana-3680	13	18	]	]	PUNCT
cana-3680	13	19	.	.	PUNCT
cana-3680	14	1	in	in	ADP
cana-3680	14	2	2016	2016	NUM
cana-3680	14	3	,	,	PUNCT
cana-3680	14	4	buong	buong	PROPN
cana-3680	14	5	et	et	PROPN
cana-3680	14	6	al	al	PROPN
cana-3680	14	7	.	.	PUNCT
cana-3680	15	1	[	[	X
cana-3680	15	2	6	6	NUM
cana-3680	15	3	]	]	PUNCT
cana-3680	15	4	proposed	propose	VERB
cana-3680	15	5	an	an	DET
cana-3680	15	6	explicit	explicit	ADJ
cana-3680	15	7	iterative	iterative	NOUN
cana-3680	15	8	algorithm	algorithm	NOUN
cana-3680	15	9	to	to	PART
cana-3680	15	10	find	find	VERB
cana-3680	15	11	out	out	ADP
cana-3680	15	12	the	the	DET
cana-3680	15	13	solution	solution	NOUN
cana-3680	15	14	for	for	ADP
cana-3680	15	15	variational	variational	ADJ
cana-3680	15	16	inequalities	inequality	NOUN
cana-3680	15	17	with	with	ADP
cana-3680	15	18	a	a	DET
cana-3680	15	19	uniformly	uniformly	ADJ
cana-3680	15	20	gâteaux	gâteaux	ADJ
cana-3680	15	21	differentiable	differentiable	ADJ
cana-3680	15	22	norm	norm	NOUN
cana-3680	15	23	.	.	PUNCT
cana-3680	16	1	to	to	PART
cana-3680	16	2	make	make	VERB
cana-3680	16	3	a	a	DET
cana-3680	16	4	clear	clear	ADJ
cana-3680	16	5	understanding	understanding	NOUN
cana-3680	16	6	,	,	PUNCT
cana-3680	16	7	some	some	DET
cana-3680	16	8	examples	example	NOUN
cana-3680	16	9	have	have	AUX
cana-3680	16	10	been	be	AUX
cana-3680	16	11	illustrated	illustrate	VERB
cana-3680	16	12	.	.	PUNCT
cana-3680	17	1	in	in	ADP
cana-3680	17	2	2017	2017	NUM
cana-3680	17	3	,	,	PUNCT
cana-3680	17	4	sahu	sahu	PROPN
cana-3680	17	5	et	et	PROPN
cana-3680	17	6	al	al	PROPN
cana-3680	17	7	.	.	PUNCT
cana-3680	18	1	[	[	X
cana-3680	18	2	15	15	NUM
cana-3680	18	3	]	]	PUNCT
cana-3680	18	4	proposed	propose	VERB
cana-3680	18	5	a	a	DET
cana-3680	18	6	system	system	NOUN
cana-3680	18	7	of	of	ADP
cana-3680	18	8	generalized	generalized	ADJ
cana-3680	18	9	variational	variational	ADJ
cana-3680	18	10	inequalities	inequality	NOUN
cana-3680	18	11	.	.	PUNCT
cana-3680	19	1	in	in	ADP
cana-3680	19	2	their	their	PRON
cana-3680	19	3	research	research	NOUN
cana-3680	19	4	,	,	PUNCT
cana-3680	19	5	they	they	PRON
cana-3680	19	6	introduced	introduce	VERB
cana-3680	19	7	two	two	NUM
cana-3680	19	8	parallel	parallel	ADJ
cana-3680	19	9	iterative	iterative	NOUN
cana-3680	19	10	methods	method	NOUN
cana-3680	19	11	,	,	PUNCT
cana-3680	19	12	namely	namely	ADV
cana-3680	19	13	the	the	DET
cana-3680	19	14	parallel	parallel	ADJ
cana-3680	19	15	s	s	NOUN
cana-3680	19	16	-	-	PUNCT
cana-3680	19	17	iteration	iteration	NOUN
cana-3680	19	18	process	process	NOUN
cana-3680	19	19	and	and	CCONJ
cana-3680	19	20	the	the	DET
cana-3680	19	21	parallel	parallel	ADJ
cana-3680	19	22	mann	mann	PROPN
cana-3680	19	23	iteration	iteration	NOUN
cana-3680	19	24	process	process	NOUN
cana-3680	19	25	,	,	PUNCT
cana-3680	19	26	to	to	PART
cana-3680	19	27	address	address	VERB
cana-3680	19	28	a	a	DET
cana-3680	19	29	particular	particular	ADJ
cana-3680	19	30	problem	problem	NOUN
cana-3680	19	31	.	.	PUNCT
cana-3680	20	1	they	they	PRON
cana-3680	20	2	also	also	ADV
cana-3680	20	3	examined	examine	VERB
cana-3680	20	4	the	the	DET
cana-3680	20	5	convergence	convergence	NOUN
cana-3680	20	6	of	of	ADP
cana-3680	20	7	the	the	DET
cana-3680	20	8	sequences	sequence	NOUN
cana-3680	20	9	produced	produce	VERB
cana-3680	20	10	by	by	ADP
cana-3680	20	11	these	these	DET
cana-3680	20	12	parallel	parallel	ADJ
cana-3680	20	13	iteration	iteration	NOUN
cana-3680	20	14	methods	method	NOUN
cana-3680	20	15	using	use	VERB
cana-3680	20	16	a	a	DET
cana-3680	20	17	numerical	numerical	ADJ
cana-3680	20	18	example	example	NOUN
cana-3680	20	19	.	.	PUNCT
cana-3680	21	1	their	their	PRON
cana-3680	21	2	analysis	analysis	NOUN
cana-3680	21	3	demonstrated	demonstrate	VERB
cana-3680	21	4	that	that	SCONJ
cana-3680	21	5	the	the	DET
cana-3680	21	6	recommended	recommend	VERB
cana-3680	21	7	parallel	parallel	ADJ
cana-3680	21	8	siteration	siteration	NOUN
cana-3680	21	9	process	process	NOUN
cana-3680	21	10	outperforms	outperform	VERB
cana-3680	21	11	the	the	DET
cana-3680	21	12	parallel	parallel	ADJ
cana-3680	21	13	mann	mann	PROPN
cana-3680	21	14	iteration	iteration	NOUN
cana-3680	21	15	process	process	NOUN
cana-3680	21	16	.	.	PUNCT
cana-3680	22	1	later	later	ADV
cana-3680	22	2	ha	ha	INTJ
cana-3680	22	3	et	et	PROPN
cana-3680	22	4	al	al	PROPN
cana-3680	22	5	.	.	PUNCT
cana-3680	23	1	[	[	X
cana-3680	23	2	10	10	NUM
cana-3680	23	3	]	]	PUNCT
cana-3680	23	4	suggested	suggest	VERB
cana-3680	23	5	a	a	DET
cana-3680	23	6	simple	simple	ADJ
cana-3680	23	7	parallel	parallel	ADJ
cana-3680	23	8	iterative	iterative	NOUN
cana-3680	23	9	method	method	NOUN
cana-3680	23	10	in	in	ADP
cana-3680	23	11	finding	find	VERB
cana-3680	23	12	out	out	ADP
cana-3680	23	13	the	the	DET
cana-3680	23	14	solution	solution	NOUN
cana-3680	23	15	to	to	ADP
cana-3680	23	16	variational	variational	ADJ
cana-3680	23	17	inequalities	inequality	NOUN
cana-3680	23	18	.	.	PUNCT
cana-3680	24	1	it	it	PRON
cana-3680	24	2	has	have	AUX
cana-3680	24	3	been	be	AUX
cana-3680	24	4	claimed	claim	VERB
cana-3680	24	5	[	[	X
cana-3680	24	6	10	10	NUM
cana-3680	24	7	]	]	PUNCT
cana-3680	24	8	that	that	SCONJ
cana-3680	24	9	the	the	DET
cana-3680	24	10	parallel	parallel	ADJ
cana-3680	24	11	iterative	iterative	NOUN
cana-3680	24	12	method	method	NOUN
cana-3680	24	13	is	be	AUX
cana-3680	24	14	more	more	ADV
cana-3680	24	15	straightforward	straightforward	ADJ
cana-3680	24	16	the	the	DET
cana-3680	24	17	one	one	NOUN
cana-3680	24	18	proposed	propose	VERB
cana-3680	24	19	by	by	ADP
cana-3680	24	20	buong	buong	PROPN
cana-3680	24	21	et	et	PROPN
cana-3680	24	22	al	al	PROPN
cana-3680	24	23	.	.	PUNCT
cana-3680	25	1	[	[	X
cana-3680	25	2	6	6	NUM
cana-3680	25	3	]	]	PUNCT
cana-3680	25	4	.	.	PUNCT
cana-3680	26	1	communications	communication	NOUN
cana-3680	26	2	on	on	ADP
cana-3680	26	3	applied	apply	VERB
cana-3680	26	4	nonlinear	nonlinear	ADJ
cana-3680	26	5	analysis	analysis	NOUN
cana-3680	26	6	issn	issn	NOUN
cana-3680	26	7	:	:	PUNCT
cana-3680	26	8	1074	1074	NUM
cana-3680	26	9	-	-	PUNCT
cana-3680	26	10	133x	133x	NUM
cana-3680	26	11	vol	vol	NOUN
cana-3680	26	12	32	32	NUM
cana-3680	26	13	no	no	NOUN
cana-3680	26	14	.	.	PUNCT
cana-3680	27	1	8s	8s	PROPN
cana-3680	27	2	(	(	PUNCT
cana-3680	27	3	2025	2025	NUM
cana-3680	27	4	)	)	PUNCT
cana-3680	27	5	345	345	NUM
cana-3680	27	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3680	28	1	in	in	ADP
cana-3680	28	2	addition	addition	NOUN
cana-3680	28	3	to	to	ADP
cana-3680	28	4	this	this	PRON
cana-3680	28	5	,	,	PUNCT
cana-3680	28	6	numerical	numerical	ADJ
cana-3680	28	7	examples	example	NOUN
cana-3680	28	8	have	have	AUX
cana-3680	28	9	been	be	AUX
cana-3680	28	10	[	[	PUNCT
cana-3680	28	11	10	10	NUM
cana-3680	28	12	]	]	PUNCT
cana-3680	28	13	to	to	PART
cana-3680	28	14	illustrate	illustrate	VERB
cana-3680	28	15	the	the	DET
cana-3680	28	16	effectiveness	effectiveness	NOUN
cana-3680	28	17	and	and	CCONJ
cana-3680	28	18	superiority	superiority	NOUN
cana-3680	28	19	of	of	ADP
cana-3680	28	20	the	the	DET
cana-3680	28	21	proposed	propose	VERB
cana-3680	28	22	algorithm	algorithm	NOUN
cana-3680	28	23	.	.	PUNCT
cana-3680	29	1	recently	recently	ADV
cana-3680	29	2	gursoy	gursoy	PROPN
cana-3680	29	3	et	et	PROPN
cana-3680	29	4	al	al	PROPN
cana-3680	29	5	.	.	PUNCT
cana-3680	30	1	[	[	X
cana-3680	30	2	9	9	NUM
cana-3680	30	3	]	]	PUNCT
cana-3680	30	4	proposed	propose	VERB
cana-3680	30	5	and	and	CCONJ
cana-3680	30	6	analyzed	analyze	VERB
cana-3680	30	7	an	an	DET
cana-3680	30	8	s	s	NOUN
cana-3680	30	9	-	-	PUNCT
cana-3680	30	10	iteration	iteration	NOUN
cana-3680	30	11	process	process	NOUN
cana-3680	30	12	for	for	ADP
cana-3680	30	13	solving	solve	VERB
cana-3680	30	14	a	a	DET
cana-3680	30	15	class	class	NOUN
cana-3680	30	16	of	of	ADP
cana-3680	30	17	variational	variational	ADJ
cana-3680	30	18	inclusion	inclusion	NOUN
cana-3680	30	19	h	h	NOUN
cana-3680	30	20	-	-	PUNCT
cana-3680	30	21	monotone	monotone	ADJ
cana-3680	30	22	operator	operator	NOUN
cana-3680	30	23	.	.	PUNCT
cana-3680	31	1	a	a	DET
cana-3680	31	2	comparison	comparison	NOUN
cana-3680	31	3	of	of	ADP
cana-3680	31	4	the	the	DET
cana-3680	31	5	suggested	suggest	VERB
cana-3680	31	6	method	method	NOUN
cana-3680	31	7	has	have	AUX
cana-3680	31	8	been	be	AUX
cana-3680	31	9	performed	perform	VERB
cana-3680	31	10	along	along	ADP
cana-3680	31	11	with	with	ADP
cana-3680	31	12	some	some	DET
cana-3680	31	13	existing	exist	VERB
cana-3680	31	14	methods	method	NOUN
cana-3680	31	15	considered	consider	VERB
cana-3680	31	16	by	by	ADP
cana-3680	31	17	fang	fang	X
cana-3680	31	18	and	and	CCONJ
cana-3680	31	19	huang	huang	PROPN
cana-3680	32	1	[	[	X
cana-3680	32	2	7	7	NUM
cana-3680	32	3	]	]	PUNCT
cana-3680	32	4	and	and	CCONJ
cana-3680	32	5	zeng	zeng	PROPN
cana-3680	32	6	et	et	PROPN
cana-3680	32	7	al	al	PROPN
cana-3680	32	8	.	.	PUNCT
cana-3680	33	1	[	[	X
cana-3680	33	2	19	19	NUM
cana-3680	33	3	]	]	PUNCT
cana-3680	33	4	.	.	PUNCT
cana-3680	34	1	motivated	motivate	VERB
cana-3680	34	2	by	by	ADP
cana-3680	34	3	ongoing	ongoing	ADJ
cana-3680	34	4	research	research	NOUN
cana-3680	34	5	in	in	ADP
cana-3680	34	6	this	this	DET
cana-3680	34	7	direction	direction	NOUN
cana-3680	34	8	,	,	PUNCT
cana-3680	34	9	we	we	PRON
cana-3680	34	10	have	have	AUX
cana-3680	34	11	designed	design	VERB
cana-3680	34	12	a	a	DET
cana-3680	34	13	s	s	NOUN
cana-3680	34	14	-	-	NOUN
cana-3680	34	15	iteration	iteration	NOUN
cana-3680	34	16	for	for	ADP
cana-3680	34	17	finding	find	VERB
cana-3680	34	18	the	the	DET
cana-3680	34	19	solution	solution	NOUN
cana-3680	34	20	of	of	ADP
cana-3680	34	21	generalized	generalized	ADJ
cana-3680	34	22	variational	variational	ADJ
cana-3680	34	23	inclusion	inclusion	NOUN
cana-3680	34	24	problem	problem	NOUN
cana-3680	34	25	.	.	PUNCT
cana-3680	35	1	also	also	ADV
cana-3680	35	2	,	,	PUNCT
cana-3680	35	3	existence	existence	NOUN
cana-3680	35	4	theorems	theorem	NOUN
cana-3680	35	5	are	be	AUX
cana-3680	35	6	proved	prove	VERB
cana-3680	35	7	by	by	ADP
cana-3680	35	8	using	use	VERB
cana-3680	35	9	cocoercive	cocoercive	ADJ
cana-3680	35	10	and	and	CCONJ
cana-3680	35	11	relaxed	relaxed	ADJ
cana-3680	35	12	co	co	ADJ
cana-3680	35	13	-	-	ADJ
cana-3680	35	14	coercive	coercive	ADJ
cana-3680	35	15	mappings	mapping	NOUN
cana-3680	35	16	.	.	PUNCT
cana-3680	36	1	a	a	DET
cana-3680	36	2	numerical	numerical	ADJ
cana-3680	36	3	example	example	NOUN
cana-3680	36	4	has	have	AUX
cana-3680	36	5	been	be	AUX
cana-3680	36	6	presented	present	VERB
cana-3680	36	7	as	as	ADV
cana-3680	36	8	well	well	ADV
cana-3680	36	9	to	to	PART
cana-3680	36	10	illustrate	illustrate	VERB
cana-3680	36	11	convergence	convergence	NOUN
cana-3680	36	12	results	result	NOUN
cana-3680	36	13	.	.	PUNCT
cana-3680	37	1	2	2	X
cana-3680	37	2	.	.	X
cana-3680	37	3	preliminaries	preliminary	NOUN
cana-3680	37	4	we	we	PRON
cana-3680	37	5	represent	represent	VERB
cana-3680	37	6	the	the	DET
cana-3680	37	7	sets	set	NOUN
cana-3680	37	8	of	of	ADP
cana-3680	37	9	nonnegative	nonnegative	ADJ
cana-3680	37	10	real	real	ADJ
cana-3680	37	11	numbers	number	NOUN
cana-3680	37	12	and	and	CCONJ
cana-3680	37	13	nonnegative	nonnegative	ADJ
cana-3680	37	14	integers	integer	NOUN
cana-3680	37	15	as	as	ADP
cana-3680	37	16	r+	r+	NOUN
cana-3680	37	17	and	and	CCONJ
cana-3680	37	18	n0	n0	NOUN
cana-3680	37	19	respectively	respectively	ADV
cana-3680	37	20	.	.	PUNCT
cana-3680	38	1	consider	consider	VERB
cana-3680	38	2	a	a	DET
cana-3680	38	3	real	real	ADJ
cana-3680	38	4	hilbert	hilbert	NOUN
cana-3680	38	5	space	space	NOUN
cana-3680	38	6	denoted	denote	VERB
cana-3680	38	7	as	as	ADP
cana-3680	38	8	x	x	X
cana-3680	38	9	,	,	PUNCT
cana-3680	38	10	where	where	SCONJ
cana-3680	38	11	its	its	PRON
cana-3680	38	12	inner	inner	ADJ
cana-3680	38	13	product	product	NOUN
cana-3680	38	14	and	and	CCONJ
cana-3680	38	15	norm	norm	NOUN
cana-3680	38	16	are	be	AUX
cana-3680	38	17	symbolized	symbolize	VERB
cana-3680	38	18	as	as	ADP
cana-3680	38	19	and	and	CCONJ
cana-3680	38	20	∥.	∥.	ADV
cana-3680	38	21	∥	∥	PRON
cana-3680	38	22	respectively	respectively	ADV
cana-3680	38	23	.	.	PUNCT
cana-3680	39	1	let	let	VERB
cana-3680	39	2	s	s	PROPN
cana-3680	39	3	,	,	PUNCT
cana-3680	39	4	t	t	PROPN
cana-3680	39	5	,	,	PUNCT
cana-3680	39	6	g:ℋ	g:ℋ	PROPN
cana-3680	39	7	→	→	SYM
cana-3680	39	8	ℋ	ℋ	NOUN
cana-3680	39	9	be	be	VERB
cana-3680	39	10	three	three	NUM
cana-3680	39	11	single	single	ADJ
cana-3680	39	12	-	-	PUNCT
cana-3680	39	13	valued	value	VERB
cana-3680	39	14	functions	function	NOUN
cana-3680	39	15	and	and	CCONJ
cana-3680	39	16	n:ℋ	n:ℋ	PROPN
cana-3680	39	17	→	→	SYM
cana-3680	39	18	2ℋ	2ℋ	NOUN
cana-3680	39	19	be	be	AUX
cana-3680	39	20	a	a	DET
cana-3680	39	21	multi	multi	ADJ
cana-3680	39	22	-	-	ADJ
cana-3680	39	23	valued	value	VERB
cana-3680	39	24	function	function	NOUN
cana-3680	39	25	.	.	PUNCT
cana-3680	40	1	consider	consider	VERB
cana-3680	40	2	the	the	DET
cana-3680	40	3	generalized	generalize	VERB
cana-3680	40	4	variational	variational	ADJ
cana-3680	40	5	inclusion	inclusion	NOUN
cana-3680	40	6	problem	problem	NOUN
cana-3680	40	7	(	(	PUNCT
cana-3680	40	8	gvip	gvip	NOUN
cana-3680	40	9	):	):	PUNCT
cana-3680	40	10	for	for	ADP
cana-3680	40	11	some	some	DET
cana-3680	40	12	real	real	ADJ
cana-3680	40	13	number	number	NOUN
cana-3680	40	14	ρ	ρ	NOUN
cana-3680	40	15	and	and	CCONJ
cana-3680	40	16	find	find	VERB
cana-3680	40	17	w	w	NOUN
cana-3680	40	18	∈	∈	PROPN
cana-3680	40	19	ℋ	ℋ	PROPN
cana-3680	40	20	such	such	ADJ
cana-3680	40	21	as	as	ADP
cana-3680	40	22	ρ	ρ	PROPN
cana-3680	40	23	∈	∈	PROPN
cana-3680	40	24	s(x	s(x	PROPN
cana-3680	40	25	)	)	PUNCT
cana-3680	40	26	−	−	PROPN
cana-3680	41	1	t(x	t(x	PROPN
cana-3680	41	2	)	)	PUNCT
cana-3680	42	1	+	+	NUM
cana-3680	43	1	τn(g(x	τn(g(x	X
cana-3680	43	2	)	)	PUNCT
cana-3680	43	3	)	)	PUNCT
cana-3680	43	4	.	.	PUNCT
cana-3680	44	1	(	(	PUNCT
cana-3680	44	2	2.1	2.1	NUM
cana-3680	44	3	)	)	PUNCT
cana-3680	44	4	some	some	DET
cana-3680	44	5	exceptional	exceptional	ADJ
cana-3680	44	6	cases	case	NOUN
cana-3680	44	7	of	of	ADP
cana-3680	44	8	(	(	PUNCT
cana-3680	44	9	2.1	2.1	NUM
cana-3680	44	10	)	)	PUNCT
cana-3680	44	11	are	be	AUX
cana-3680	44	12	as	as	SCONJ
cana-3680	44	13	follows	follow	VERB
cana-3680	44	14	:	:	PUNCT
cana-3680	44	15	a	a	X
cana-3680	44	16	)	)	PUNCT
cana-3680	44	17	if	if	SCONJ
cana-3680	44	18	ρ	ρ	PROPN
cana-3680	44	19	=	=	SYM
cana-3680	44	20	0	0	PROPN
cana-3680	44	21	,	,	PUNCT
cana-3680	44	22	τ	τ	PROPN
cana-3680	44	23	=	=	SYM
cana-3680	44	24	1	1	NUM
cana-3680	44	25	,	,	PUNCT
cana-3680	44	26	s	s	NOUN
cana-3680	44	27	=	=	SYM
cana-3680	44	28	0	0	NUM
cana-3680	44	29	and	and	CCONJ
cana-3680	44	30	n	n	PROPN
cana-3680	44	31	is	be	AUX
cana-3680	44	32	a	a	DET
cana-3680	44	33	single	single	ADV
cana-3680	44	34	-	-	PUNCT
cana-3680	44	35	valued	value	VERB
cana-3680	44	36	function	function	NOUN
cana-3680	44	37	,	,	PUNCT
cana-3680	44	38	then	then	ADV
cana-3680	44	39	(	(	PUNCT
cana-3680	44	40	2.1	2.1	NUM
cana-3680	44	41	)	)	PUNCT
cana-3680	44	42	becomes	become	VERB
cana-3680	44	43	the	the	DET
cana-3680	44	44	problem	problem	NOUN
cana-3680	44	45	of	of	ADP
cana-3680	44	46	finding	find	VERB
cana-3680	44	47	w	w	PROPN
cana-3680	44	48	∈	∈	PROPN
cana-3680	44	49	ℋ	ℋ	PROPN
cana-3680	44	50	such	such	ADJ
cana-3680	44	51	as	as	ADP
cana-3680	44	52	0	0	NUM
cana-3680	44	53	∈	∈	NOUN
cana-3680	44	54	n(g(w))−	n(g(w))−	NOUN
cana-3680	44	55	t(w	t(w	NOUN
cana-3680	44	56	)	)	PUNCT
cana-3680	44	57	.	.	PUNCT
cana-3680	45	1	(	(	PUNCT
cana-3680	45	2	2.2	2.2	NUM
cana-3680	45	3	)	)	PUNCT
cana-3680	45	4	problem	problem	NOUN
cana-3680	45	5	(	(	PUNCT
cana-3680	45	6	2.2	2.2	NUM
cana-3680	45	7	)	)	PUNCT
cana-3680	45	8	was	be	AUX
cana-3680	45	9	proposed	propose	VERB
cana-3680	45	10	by	by	ADP
cana-3680	45	11	noor	noor	PROPN
cana-3680	45	12	et	et	PROPN
cana-3680	45	13	al	al	PROPN
cana-3680	45	14	.	.	PUNCT
cana-3680	46	1	[	[	X
cana-3680	46	2	14	14	NUM
cana-3680	46	3	]	]	PUNCT
cana-3680	46	4	.	.	PUNCT
cana-3680	47	1	b	b	X
cana-3680	47	2	)	)	PUNCT
cana-3680	47	3	if	if	SCONJ
cana-3680	47	4	ρ	ρ	PROPN
cana-3680	47	5	=	=	SYM
cana-3680	47	6	0	0	PROPN
cana-3680	47	7	,	,	PUNCT
cana-3680	47	8	τ	τ	X
cana-3680	47	9	=	=	PUNCT
cana-3680	47	10	1,t	1,t	PROPN
cana-3680	47	11	=	=	SYM
cana-3680	47	12	0	0	NUM
cana-3680	47	13	and	and	CCONJ
cana-3680	47	14	g	g	PROPN
cana-3680	48	1	=	=	SYM
cana-3680	48	2	i	i	PROPN
cana-3680	48	3	(	(	PUNCT
cana-3680	48	4	identity	identity	NOUN
cana-3680	48	5	function	function	NOUN
cana-3680	48	6	)	)	PUNCT
cana-3680	48	7	,	,	PUNCT
cana-3680	48	8	then	then	ADV
cana-3680	48	9	(	(	PUNCT
cana-3680	48	10	2.1	2.1	NUM
cana-3680	48	11	)	)	PUNCT
cana-3680	48	12	becomes	become	VERB
cana-3680	48	13	the	the	DET
cana-3680	48	14	problem	problem	NOUN
cana-3680	48	15	of	of	ADP
cana-3680	48	16	finding	find	VERB
cana-3680	48	17	w	w	PROPN
cana-3680	48	18	∈	∈	PROPN
cana-3680	48	19	ℋ	ℋ	PROPN
cana-3680	48	20	such	such	ADJ
cana-3680	48	21	as	as	ADP
cana-3680	48	22	0	0	NUM
cana-3680	48	23	∈	∈	PROPN
cana-3680	48	24	𝑆(𝑤	𝑆(𝑤	NUM
cana-3680	48	25	)	)	PUNCT
cana-3680	48	26	+	+	NOUN
cana-3680	48	27	𝑁(𝑤	𝑁(𝑤	NOUN
cana-3680	48	28	)	)	PUNCT
cana-3680	48	29	.	.	PUNCT
cana-3680	49	1	(	(	PUNCT
cana-3680	49	2	2.3	2.3	NUM
cana-3680	49	3	)	)	PUNCT
cana-3680	49	4	problem	problem	NOUN
cana-3680	49	5	(	(	PUNCT
cana-3680	49	6	2.3	2.3	NUM
cana-3680	49	7	)	)	PUNCT
cana-3680	49	8	was	be	AUX
cana-3680	49	9	considered	consider	VERB
cana-3680	49	10	by	by	ADP
cana-3680	49	11	fang	fang	X
cana-3680	49	12	and	and	CCONJ
cana-3680	49	13	huang	huang	PROPN
cana-3680	50	1	[	[	X
cana-3680	50	2	7	7	NUM
cana-3680	50	3	]	]	PUNCT
cana-3680	50	4	.	.	PUNCT
cana-3680	51	1	it	it	PRON
cana-3680	51	2	's	be	AUX
cana-3680	51	3	evident	evident	ADJ
cana-3680	51	4	that	that	SCONJ
cana-3680	51	5	by	by	ADP
cana-3680	51	6	appropriately	appropriately	ADV
cana-3680	51	7	selecting	select	VERB
cana-3680	51	8	the	the	DET
cana-3680	51	9	functions	function	NOUN
cana-3680	51	10	used	use	VERB
cana-3680	51	11	in	in	ADP
cana-3680	51	12	equation	equation	NOUN
cana-3680	51	13	(	(	PUNCT
cana-3680	51	14	2.1	2.1	NUM
cana-3680	51	15	)	)	PUNCT
cana-3680	51	16	,	,	PUNCT
cana-3680	51	17	one	one	PRON
cana-3680	51	18	can	can	AUX
cana-3680	51	19	identify	identify	VERB
cana-3680	51	20	numerous	numerous	ADJ
cana-3680	51	21	variational	variational	ADJ
cana-3680	51	22	inclusion	inclusion	NOUN
cana-3680	51	23	or	or	CCONJ
cana-3680	51	24	inequality	inequality	NOUN
cana-3680	51	25	problems	problem	NOUN
cana-3680	51	26	that	that	PRON
cana-3680	51	27	have	have	AUX
cana-3680	51	28	been	be	AUX
cana-3680	51	29	investigated	investigate	VERB
cana-3680	51	30	in	in	ADP
cana-3680	51	31	recent	recent	ADJ
cana-3680	51	32	studies	study	NOUN
cana-3680	51	33	,	,	PUNCT
cana-3680	51	34	as	as	SCONJ
cana-3680	51	35	observed	observe	VERB
cana-3680	51	36	in	in	ADP
cana-3680	51	37	references	reference	NOUN
cana-3680	51	38	such	such	ADJ
cana-3680	51	39	as	as	ADP
cana-3680	51	40	[	[	X
cana-3680	51	41	5	5	NUM
cana-3680	51	42	,	,	PUNCT
cana-3680	51	43	11	11	NUM
cana-3680	51	44	,	,	PUNCT
cana-3680	51	45	13	13	NUM
cana-3680	51	46	]	]	PUNCT
cana-3680	51	47	.	.	PUNCT
cana-3680	52	1	now	now	ADV
cana-3680	52	2	,	,	PUNCT
cana-3680	52	3	we	we	PRON
cana-3680	52	4	provide	provide	VERB
cana-3680	52	5	certain	certain	ADJ
cana-3680	52	6	definitions	definition	NOUN
cana-3680	52	7	and	and	CCONJ
cana-3680	52	8	outcomes	outcome	NOUN
cana-3680	52	9	to	to	PART
cana-3680	52	10	reach	reach	VERB
cana-3680	52	11	the	the	DET
cana-3680	52	12	primary	primary	ADJ
cana-3680	52	13	conclusion	conclusion	NOUN
cana-3680	52	14	of	of	ADP
cana-3680	52	15	this	this	DET
cana-3680	52	16	paper	paper	NOUN
cana-3680	52	17	.	.	PUNCT
cana-3680	53	1	definition	definition	NOUN
cana-3680	53	2	2.1	2.1	NUM
cana-3680	53	3	(	(	PUNCT
cana-3680	53	4	[	[	X
cana-3680	53	5	2,15	2,15	NUM
cana-3680	53	6	]	]	X
cana-3680	53	7	)	)	PUNCT
cana-3680	53	8	consider	consider	VERB
cana-3680	53	9	a	a	DET
cana-3680	53	10	mapping	mapping	NOUN
cana-3680	53	11	p:ℋ	p:ℋ	PROPN
cana-3680	53	12	→	→	SYM
cana-3680	53	13	ℋ	ℋ	NOUN
cana-3680	53	14	that	that	PRON
cana-3680	53	15	takes	take	VERB
cana-3680	53	16	one	one	NUM
cana-3680	53	17	value	value	NOUN
cana-3680	53	18	at	at	ADP
cana-3680	53	19	a	a	DET
cana-3680	53	20	time	time	NOUN
cana-3680	53	21	.	.	PUNCT
cana-3680	54	1	a	a	DET
cana-3680	54	2	mapping	mapping	NOUN
cana-3680	54	3	r:ℋ→	r:ℋ→	PUNCT
cana-3680	54	4	ℋ	ℋ	PROPN
cana-3680	54	5	is	be	AUX
cana-3680	54	6	termed	term	VERB
cana-3680	54	7	a	a	DET
cana-3680	54	8	)	)	PUNCT
cana-3680	54	9	monotone	monotone	NOUN
cana-3680	54	10	(	(	PUNCT
cana-3680	54	11	in	in	ADP
cana-3680	54	12	short	short	PROPN
cana-3680	54	13	mt	mt	PROPN
cana-3680	54	14	)	)	PUNCT
cana-3680	54	15	if	if	SCONJ
cana-3680	54	16	⟨rw−ry	⟨rw−ry	NOUN
cana-3680	54	17	,	,	PUNCT
cana-3680	54	18	w−	w−	PROPN
cana-3680	54	19	y⟩	y⟩	NOUN
cana-3680	54	20	≥	≥	PROPN
cana-3680	54	21	0	0	NUM
cana-3680	54	22	,	,	PUNCT
cana-3680	54	23	∀w	∀w	PROPN
cana-3680	54	24	,	,	PUNCT
cana-3680	54	25	y	y	PROPN
cana-3680	54	26	∈	∈	PROPN
cana-3680	54	27	ℋ	ℋ	PROPN
cana-3680	54	28	,	,	PUNCT
cana-3680	54	29	b	b	NOUN
cana-3680	54	30	)	)	PUNCT
cana-3680	54	31	strictly	strictly	ADV
cana-3680	54	32	mt	mt	PROPN
cana-3680	54	33	if	if	SCONJ
cana-3680	54	34	r	r	NOUN
cana-3680	54	35	is	be	AUX
cana-3680	54	36	mt	mt	PROPN
cana-3680	54	37	and	and	CCONJ
cana-3680	54	38	⟨rw−	⟨rw−	ADV
cana-3680	55	1	ry	ry	PROPN
cana-3680	55	2	,	,	PUNCT
cana-3680	55	3	w	w	PROPN
cana-3680	55	4	−	−	NOUN
cana-3680	55	5	y⟩	y⟩	NOUN
cana-3680	55	6	=	=	NOUN
cana-3680	55	7	0	0	PROPN
cana-3680	55	8	,	,	PUNCT
cana-3680	55	9	ifand	ifand	NOUN
cana-3680	55	10	only	only	ADV
cana-3680	55	11	if	if	SCONJ
cana-3680	55	12	w=	w=	PROPN
cana-3680	55	13	y	y	NOUN
cana-3680	55	14	,	,	PUNCT
cana-3680	55	15	communications	communication	NOUN
cana-3680	55	16	on	on	ADP
cana-3680	55	17	applied	apply	VERB
cana-3680	55	18	nonlinear	nonlinear	ADJ
cana-3680	55	19	analysis	analysis	NOUN
cana-3680	55	20	issn	issn	NOUN
cana-3680	55	21	:	:	PUNCT
cana-3680	55	22	1074	1074	NUM
cana-3680	55	23	-	-	PUNCT
cana-3680	55	24	133x	133x	NUM
cana-3680	55	25	vol	vol	NOUN
cana-3680	55	26	32	32	NUM
cana-3680	55	27	no	no	NOUN
cana-3680	55	28	.	.	PUNCT
cana-3680	56	1	8s	8s	PROPN
cana-3680	56	2	(	(	PUNCT
cana-3680	56	3	2025	2025	NUM
cana-3680	56	4	)	)	PUNCT
cana-3680	56	5	346	346	NUM
cana-3680	56	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3680	56	7	c	c	X
cana-3680	56	8	)	)	PUNCT
cana-3680	56	9	strongly	strongly	ADV
cana-3680	56	10	mt	mt	PROPN
cana-3680	56	11	if	if	SCONJ
cana-3680	56	12	there	there	PRON
cana-3680	56	13	exists	exist	VERB
cana-3680	56	14	r	r	NOUN
cana-3680	56	15	>	>	X
cana-3680	56	16	0	0	NUM
cana-3680	56	17	such	such	ADJ
cana-3680	56	18	as	as	ADP
cana-3680	56	19	⟨rw−	⟨rw−	NOUN
cana-3680	56	20	ry	ry	NOUN
cana-3680	56	21	,	,	PUNCT
cana-3680	56	22	w	w	PROPN
cana-3680	56	23	−	−	PROPN
cana-3680	57	1	y⟩	y⟩	NOUN
cana-3680	57	2	≥	≥	NUM
cana-3680	57	3	r‖w	r‖w	VERB
cana-3680	57	4	−	−	PROPN
cana-3680	57	5	y‖2	y‖2	PROPN
cana-3680	57	6	,	,	PUNCT
cana-3680	57	7	∀w	∀w	PROPN
cana-3680	57	8	,	,	PUNCT
cana-3680	57	9	y	y	PROPN
cana-3680	57	10	∈	∈	PROPN
cana-3680	57	11	ℋ	ℋ	PROPN
cana-3680	57	12	,	,	PUNCT
cana-3680	57	13	d	d	NOUN
cana-3680	57	14	)	)	PUNCT
cana-3680	57	15	strongly	strongly	ADV
cana-3680	57	16	mt	mt	PROPN
cana-3680	57	17	with	with	ADP
cana-3680	57	18	respect	respect	NOUN
cana-3680	57	19	to	to	ADP
cana-3680	57	20	p	p	NOUN
cana-3680	57	21	if	if	SCONJ
cana-3680	57	22	there	there	PRON
cana-3680	57	23	exists	exist	VERB
cana-3680	57	24	γ	γ	X
cana-3680	57	25	>	>	X
cana-3680	57	26	0	0	NUM
cana-3680	57	27	such	such	ADJ
cana-3680	57	28	as	as	ADP
cana-3680	57	29	⟨rw−ry	⟨rw−ry	NOUN
cana-3680	57	30	,	,	PUNCT
cana-3680	57	31	pw−	pw−	PROPN
cana-3680	57	32	py⟩	py⟩	X
cana-3680	57	33	≥	≥	NOUN
cana-3680	57	34	γ‖w−	γ‖w−	X
cana-3680	57	35	y‖2	y‖2	PROPN
cana-3680	57	36	,	,	PUNCT
cana-3680	57	37	∀w	∀w	PROPN
cana-3680	57	38	,	,	PUNCT
cana-3680	57	39	y	y	PROPN
cana-3680	57	40	∈	∈	PROPN
cana-3680	57	41	ℋ	ℋ	PROPN
cana-3680	57	42	,	,	PUNCT
cana-3680	57	43	e	e	NOUN
cana-3680	57	44	)	)	PUNCT
cana-3680	57	45	lipschitz	lipschitz	VERB
cana-3680	57	46	continuous	continuous	ADJ
cana-3680	57	47	if	if	SCONJ
cana-3680	57	48	there	there	PRON
cana-3680	57	49	exists	exist	VERB
cana-3680	57	50	λr	λr	ADP
cana-3680	57	51	>	>	X
cana-3680	57	52	0	0	NUM
cana-3680	57	53	such	such	ADJ
cana-3680	57	54	as	as	ADP
cana-3680	57	55	‖rw−	‖rw−	PROPN
cana-3680	57	56	ry‖	ry‖	NOUN
cana-3680	57	57	≤	≤	NUM
cana-3680	57	58	λr	λr	ADP
cana-3680	57	59	‖w−	‖w−	PROPN
cana-3680	57	60	y‖,∀w	y‖,∀w	NUM
cana-3680	57	61	,	,	PUNCT
cana-3680	57	62	y	y	PROPN
cana-3680	57	63	∈	∈	PROPN
cana-3680	57	64	ℋ	ℋ	PROPN
cana-3680	57	65	,	,	PUNCT
cana-3680	57	66	f	f	PROPN
cana-3680	57	67	)	)	PUNCT
cana-3680	57	68	α	α	NOUN
cana-3680	57	69	-	-	ADJ
cana-3680	57	70	expansive	expansive	ADJ
cana-3680	57	71	if	if	SCONJ
cana-3680	57	72	there	there	PRON
cana-3680	57	73	exists	exist	VERB
cana-3680	57	74	α	α	PROPN
cana-3680	57	75	>	>	X
cana-3680	57	76	0	0	NUM
cana-3680	57	77	such	such	ADJ
cana-3680	57	78	as	as	ADP
cana-3680	57	79	‖rw−	‖rw−	PROPN
cana-3680	57	80	ry‖	ry‖	PROPN
cana-3680	57	81	≥	≥	NOUN
cana-3680	57	82	α‖w−	α‖w−	X
cana-3680	57	83	y‖	y‖	PROPN
cana-3680	57	84	,	,	PUNCT
cana-3680	57	85	∀w	∀w	PROPN
cana-3680	57	86	,	,	PUNCT
cana-3680	57	87	y	y	PROPN
cana-3680	57	88	∈	∈	PROPN
cana-3680	57	89	ℋ	ℋ	PROPN
cana-3680	57	90	,	,	PUNCT
cana-3680	57	91	if	if	SCONJ
cana-3680	57	92	α	α	NOUN
cana-3680	57	93	=	=	SYM
cana-3680	57	94	1	1	NUM
cana-3680	57	95	,	,	PUNCT
cana-3680	57	96	then	then	ADV
cana-3680	57	97	it	it	PRON
cana-3680	57	98	is	be	AUX
cana-3680	57	99	expansive	expansive	ADJ
cana-3680	57	100	.	.	PUNCT
cana-3680	58	1	g	g	NOUN
cana-3680	58	2	)	)	PUNCT
cana-3680	58	3	co	co	NOUN
cana-3680	58	4	-	-	NOUN
cana-3680	58	5	coercive	coercive	ADJ
cana-3680	58	6	if	if	SCONJ
cana-3680	58	7	there	there	PRON
cana-3680	58	8	exists	exist	VERB
cana-3680	58	9	μ′	μ′	PRON
cana-3680	58	10	>	>	X
cana-3680	58	11	0	0	NUM
cana-3680	58	12	such	such	ADJ
cana-3680	58	13	as	as	ADP
cana-3680	58	14	⟨rw−	⟨rw−	NOUN
cana-3680	58	15	ry	ry	NOUN
cana-3680	58	16	,	,	PUNCT
cana-3680	58	17	w−	w−	PROPN
cana-3680	58	18	y⟩	y⟩	NOUN
cana-3680	58	19	≥	≥	PROPN
cana-3680	58	20	μ′‖rw−ry‖2	μ′‖rw−ry‖2	PROPN
cana-3680	58	21	,	,	PUNCT
cana-3680	58	22	∀w	∀w	PROPN
cana-3680	58	23	,	,	PUNCT
cana-3680	58	24	y	y	PROPN
cana-3680	58	25	∈	∈	PROPN
cana-3680	58	26	ℋ	ℋ	PROPN
cana-3680	58	27	,	,	PUNCT
cana-3680	58	28	h	h	NOUN
cana-3680	58	29	)	)	PUNCT
cana-3680	58	30	relaxed	relax	VERB
cana-3680	58	31	co	co	NOUN
cana-3680	58	32	-	-	ADJ
cana-3680	58	33	coercive	coercive	ADJ
cana-3680	58	34	if	if	SCONJ
cana-3680	58	35	there	there	PRON
cana-3680	58	36	exists	exist	VERB
cana-3680	58	37	a	a	DET
cana-3680	58	38	constant	constant	ADJ
cana-3680	58	39	γ′	γ′	NOUN
cana-3680	58	40	>	>	X
cana-3680	58	41	0	0	NUM
cana-3680	58	42	such	such	ADJ
cana-3680	58	43	as	as	ADP
cana-3680	58	44	⟨rw−	⟨rw−	NOUN
cana-3680	58	45	ry	ry	NOUN
cana-3680	58	46	,	,	PUNCT
cana-3680	58	47	w	w	PROPN
cana-3680	58	48	−	−	PROPN
cana-3680	58	49	y⟩	y⟩	NOUN
cana-3680	58	50	≥	≥	PROPN
cana-3680	58	51	(	(	PUNCT
cana-3680	58	52	−γ′)‖rw−	−γ′)‖rw−	ADV
cana-3680	58	53	ry‖2	ry‖2	PROPN
cana-3680	58	54	,	,	PUNCT
cana-3680	58	55	∀w	∀w	PROPN
cana-3680	58	56	,	,	PUNCT
cana-3680	58	57	y	y	PROPN
cana-3680	58	58	∈	∈	PROPN
cana-3680	58	59	ℋ.	ℋ.	PROPN
cana-3680	58	60	definition	definition	NOUN
cana-3680	58	61	2.2	2.2	NUM
cana-3680	58	62	(	(	PUNCT
cana-3680	58	63	[	[	X
cana-3680	58	64	2	2	NUM
cana-3680	58	65	]	]	PUNCT
cana-3680	58	66	)	)	PUNCT
cana-3680	58	67	a	a	DET
cana-3680	58	68	set	set	NOUN
cana-3680	58	69	-	-	PUNCT
cana-3680	58	70	valued	value	VERB
cana-3680	58	71	function	function	NOUN
cana-3680	58	72	𝑁:ℋ	𝑁:ℋ	X
cana-3680	58	73	→	→	SYM
cana-3680	58	74	2ℋ	2ℋ	NOUN
cana-3680	58	75	is	be	AUX
cana-3680	58	76	termed	term	VERB
cana-3680	59	1	:	:	PUNCT
cana-3680	59	2	a	a	X
cana-3680	59	3	)	)	PUNCT
cana-3680	59	4	𝑀𝑇	𝑀𝑇	PROPN
cana-3680	59	5	if	if	SCONJ
cana-3680	59	6	⟨𝑤	⟨𝑤	NUM
cana-3680	59	7	−	−	PROPN
cana-3680	59	8	𝑦,𝑢	𝑦,𝑢	PROPN
cana-3680	59	9	−	−	PROPN
cana-3680	59	10	𝑣⟩	𝑣⟩	ADV
cana-3680	59	11	≥	≥	NOUN
cana-3680	59	12	0	0	NUM
cana-3680	59	13	,	,	PUNCT
cana-3680	59	14	∀𝑢	∀𝑢	NOUN
cana-3680	59	15	,	,	PUNCT
cana-3680	59	16	𝑣	𝑣	PROPN
cana-3680	59	17	∈	∈	PROPN
cana-3680	59	18	ℋ	ℋ	PROPN
cana-3680	59	19	,	,	PUNCT
cana-3680	59	20	𝑤	𝑤	ADP
cana-3680	59	21	∈	∈	NOUN
cana-3680	59	22	𝑁𝑢	𝑁𝑢	NOUN
cana-3680	59	23	,	,	PUNCT
cana-3680	59	24	𝑦	𝑦	NOUN
cana-3680	59	25	∈	∈	NOUN
cana-3680	59	26	𝑁𝑣	𝑁𝑣	PROPN
cana-3680	59	27	,	,	PUNCT
cana-3680	59	28	b	b	NOUN
cana-3680	59	29	)	)	PUNCT
cana-3680	59	30	strongly	strongly	ADV
cana-3680	59	31	𝑀𝑇	𝑀𝑇	PROPN
cana-3680	59	32	if	if	SCONJ
cana-3680	59	33	there	there	PRON
cana-3680	59	34	exists	exist	VERB
cana-3680	59	35	𝜂	𝜂	PROPN
cana-3680	59	36	>	>	X
cana-3680	59	37	0	0	NUM
cana-3680	59	38	such	such	ADJ
cana-3680	59	39	as	as	ADP
cana-3680	59	40	⟨𝑤	⟨𝑤	NUM
cana-3680	59	41	−	−	PROPN
cana-3680	59	42	𝑦,𝑢	𝑦,𝑢	PROPN
cana-3680	59	43	−	−	PROPN
cana-3680	60	1	𝑣⟩	𝑣⟩	ADP
cana-3680	60	2	≥	≥	X
cana-3680	60	3	𝜂‖𝑢	𝜂‖𝑢	ADV
cana-3680	60	4	−	−	ADP
cana-3680	61	1	𝑣‖2	𝑣‖2	PROPN
cana-3680	61	2	,	,	PUNCT
cana-3680	61	3	∀𝑢	∀𝑢	PROPN
cana-3680	61	4	,	,	PUNCT
cana-3680	61	5	𝑣	𝑣	PROPN
cana-3680	61	6	∈	∈	PROPN
cana-3680	61	7	ℋ	ℋ	PROPN
cana-3680	61	8	,	,	PUNCT
cana-3680	61	9	𝑤	𝑤	ADP
cana-3680	61	10	∈	∈	NOUN
cana-3680	61	11	𝑁𝑢	𝑁𝑢	NOUN
cana-3680	61	12	,	,	PUNCT
cana-3680	61	13	𝑦	𝑦	NOUN
cana-3680	61	14	∈	∈	NOUN
cana-3680	61	15	𝑁𝑣	𝑁𝑣	NOUN
cana-3680	61	16	,	,	PUNCT
cana-3680	61	17	c	c	NOUN
cana-3680	61	18	)	)	PUNCT
cana-3680	61	19	maximal	maximal	ADJ
cana-3680	61	20	𝑀𝑇	𝑀𝑇	PROPN
cana-3680	61	21	if	if	SCONJ
cana-3680	61	22	𝑁	𝑁	PROPN
cana-3680	61	23	is	be	AUX
cana-3680	61	24	𝑀𝑇	𝑀𝑇	PROPN
cana-3680	61	25	and	and	CCONJ
cana-3680	61	26	(	(	PUNCT
cana-3680	61	27	𝐼	𝐼	PROPN
cana-3680	61	28	+	+	PROPN
cana-3680	61	29	𝜆𝑁)(ℋ	𝜆𝑁)(ℋ	PROPN
cana-3680	61	30	)	)	PUNCT
cana-3680	62	1	=	=	SYM
cana-3680	62	2	ℋ	ℋ	PROPN
cana-3680	62	3	hold	hold	NOUN
cana-3680	62	4	for	for	ADP
cana-3680	62	5	all	all	DET
cana-3680	62	6	𝜆	𝜆	SYM
cana-3680	62	7	>	>	X
cana-3680	62	8	0	0	NUM
cana-3680	62	9	,	,	PUNCT
cana-3680	62	10	where	where	SCONJ
cana-3680	62	11	𝐼	𝐼	PROPN
cana-3680	62	12	stands	stand	VERB
cana-3680	62	13	the	the	DET
cana-3680	62	14	identity	identity	NOUN
cana-3680	62	15	function	function	NOUN
cana-3680	62	16	on	on	ADP
cana-3680	62	17	ℋ	ℋ	PROPN
cana-3680	62	18	;	;	PUNCT
cana-3680	62	19	d	d	X
cana-3680	62	20	)	)	PUNCT
cana-3680	62	21	maximal	maximal	ADJ
cana-3680	62	22	strongly	strongly	ADV
cana-3680	62	23	𝑀𝑇	𝑀𝑇	PROPN
cana-3680	62	24	if	if	SCONJ
cana-3680	62	25	𝑁	𝑁	PROPN
cana-3680	62	26	is	be	AUX
cana-3680	62	27	strongly	strongly	ADV
cana-3680	62	28	mt	mt	PROPN
cana-3680	62	29	and	and	CCONJ
cana-3680	62	30	(	(	PUNCT
cana-3680	62	31	𝐼	𝐼	PROPN
cana-3680	62	32	+	+	PROPN
cana-3680	62	33	𝜆𝑁)(ℋ	𝜆𝑁)(ℋ	PROPN
cana-3680	62	34	)	)	PUNCT
cana-3680	63	1	=	=	SYM
cana-3680	64	1	ℋ	ℋ	PROPN
cana-3680	64	2	hold	hold	NOUN
cana-3680	64	3	for	for	ADP
cana-3680	64	4	all	all	DET
cana-3680	64	5	𝜆	𝜆	SYM
cana-3680	64	6	>	>	X
cana-3680	64	7	0	0	NUM
cana-3680	64	8	;	;	PUNCT
cana-3680	64	9	e	e	X
cana-3680	64	10	)	)	PUNCT
cana-3680	64	11	cocoercive	cocoercive	ADJ
cana-3680	65	1	if	if	SCONJ
cana-3680	65	2	there	there	PRON
cana-3680	65	3	exists	exist	VERB
cana-3680	65	4	𝜇′′	𝜇′′	VERB
cana-3680	65	5	such	such	ADJ
cana-3680	65	6	as	as	ADP
cana-3680	65	7	⟨w−	⟨w−	NOUN
cana-3680	65	8	y	y	PROPN
cana-3680	65	9	,	,	PUNCT
cana-3680	65	10	u	u	NOUN
cana-3680	65	11	−	−	PROPN
cana-3680	65	12	v⟩	v⟩	VERB
cana-3680	65	13	≥	≥	NOUN
cana-3680	65	14	μ′′‖u	μ′′‖u	VERB
cana-3680	65	15	−	−	PROPN
cana-3680	65	16	v‖2	v‖2	NOUN
cana-3680	65	17	,	,	PUNCT
cana-3680	65	18	∀u	∀u	NOUN
cana-3680	65	19	,	,	PUNCT
cana-3680	65	20	v	v	PROPN
cana-3680	65	21	∈	∈	PROPN
cana-3680	65	22	ℋ,w	ℋ,w	PRON
cana-3680	65	23	∈	∈	PROPN
cana-3680	65	24	nu	nu	PROPN
cana-3680	65	25	,	,	PUNCT
cana-3680	65	26	y	y	PROPN
cana-3680	65	27	∈	∈	PROPN
cana-3680	65	28	ny	ny	PROPN
cana-3680	65	29	.	.	PROPN
cana-3680	66	1	definition	definition	NOUN
cana-3680	66	2	𝟐.	𝟐.	PUNCT
cana-3680	66	3	𝟑([𝟐,𝟑	𝟑([𝟐,𝟑	PROPN
cana-3680	66	4	]	]	PUNCT
cana-3680	66	5	)	)	PUNCT
cana-3680	66	6	let	let	VERB
cana-3680	66	7	a:ℋ	a:ℋ	NUM
cana-3680	66	8	×ℋ	×ℋ	NOUN
cana-3680	66	9	→	→	SYM
cana-3680	66	10	ℋ	ℋ	PROPN
cana-3680	66	11	and	and	CCONJ
cana-3680	66	12	p	p	NOUN
cana-3680	66	13	,	,	PUNCT
cana-3680	66	14	r:ℋ	r:ℋ	PROPN
cana-3680	66	15	→	→	SYM
cana-3680	66	16	ℋ	ℋ	PROPN
cana-3680	66	17	are	be	AUX
cana-3680	66	18	the	the	DET
cana-3680	66	19	the	the	DET
cana-3680	66	20	functions	function	NOUN
cana-3680	66	21	.	.	PUNCT
cana-3680	67	1	a	a	DET
cana-3680	67	2	)	)	PUNCT
cana-3680	67	3	a(p	a(p	NOUN
cana-3680	67	4	,	,	PUNCT
cana-3680	67	5	.	.	PUNCT
cana-3680	67	6	)	)	PUNCT
cana-3680	67	7	is	be	AUX
cana-3680	67	8	termed	term	VERB
cana-3680	67	9	co	co	ADJ
cana-3680	67	10	-	-	ADJ
cana-3680	67	11	coercive	coercive	ADJ
cana-3680	67	12	with	with	ADP
cana-3680	67	13	respect	respect	NOUN
cana-3680	67	14	to	to	ADP
cana-3680	67	15	𝑃	𝑃	VERB
cana-3680	67	16	if	if	SCONJ
cana-3680	67	17	there	there	PRON
cana-3680	67	18	exists	exist	VERB
cana-3680	67	19	μ	μ	PROPN
cana-3680	67	20	>	>	X
cana-3680	67	21	0	0	NUM
cana-3680	67	22	such	such	ADJ
cana-3680	67	23	as	as	ADP
cana-3680	67	24	⟨a(pw	⟨a(pw	NOUN
cana-3680	67	25	,	,	PUNCT
cana-3680	67	26	u	u	NOUN
cana-3680	67	27	)	)	PUNCT
cana-3680	68	1	−	−	ADP
cana-3680	68	2	a(py	a(py	PROPN
cana-3680	68	3	,	,	PUNCT
cana-3680	68	4	u	u	NOUN
cana-3680	68	5	)	)	PUNCT
cana-3680	68	6	,	,	PUNCT
cana-3680	68	7	w	w	PROPN
cana-3680	68	8	−	−	PROPN
cana-3680	68	9	y⟩	y⟩	NOUN
cana-3680	68	10	≥	≥	NOUN
cana-3680	69	1	μ2‖pw	μ2‖pw	NUM
cana-3680	69	2	−	−	PROPN
cana-3680	69	3	py‖2	py‖2	ADV
cana-3680	69	4	,	,	PUNCT
cana-3680	69	5	∀w	∀w	PROPN
cana-3680	69	6	,	,	PUNCT
cana-3680	69	7	y	y	PROPN
cana-3680	69	8	∈	∈	PROPN
cana-3680	69	9	ℋ.	ℋ.	PROPN
cana-3680	69	10	b	b	PROPN
cana-3680	69	11	)	)	PUNCT
cana-3680	69	12	a	a	PRON
cana-3680	69	13	(	(	PUNCT
cana-3680	69	14	.	.	PUNCT
cana-3680	69	15	,	,	PUNCT
cana-3680	69	16	r	r	X
cana-3680	69	17	)	)	PUNCT
cana-3680	69	18	is	be	AUX
cana-3680	69	19	termed	term	VERB
cana-3680	69	20	relaxed	relaxed	ADJ
cana-3680	69	21	co	co	ADJ
cana-3680	69	22	-	-	ADJ
cana-3680	69	23	coercive	coercive	ADJ
cana-3680	69	24	with	with	ADP
cana-3680	69	25	respect	respect	NOUN
cana-3680	69	26	to	to	ADP
cana-3680	69	27	r	r	NOUN
cana-3680	69	28	if	if	SCONJ
cana-3680	69	29	there	there	PRON
cana-3680	69	30	exists	exist	VERB
cana-3680	69	31	μ	μ	PROPN
cana-3680	69	32	>	>	X
cana-3680	69	33	0	0	NUM
cana-3680	69	34	such	such	ADJ
cana-3680	69	35	as	as	ADP
cana-3680	69	36	⟨a(u	⟨a(u	PROPN
cana-3680	69	37	,	,	PUNCT
cana-3680	69	38	rw	rw	NOUN
cana-3680	69	39	)	)	PUNCT
cana-3680	70	1	−	−	PROPN
cana-3680	70	2	a(u	a(u	PROPN
cana-3680	70	3	,	,	PUNCT
cana-3680	70	4	ry	ry	NOUN
cana-3680	70	5	)	)	PUNCT
cana-3680	70	6	,	,	PUNCT
cana-3680	70	7	w	w	PROPN
cana-3680	70	8	−	−	PROPN
cana-3680	70	9	y⟩	y⟩	NOUN
cana-3680	70	10	≥	≥	PROPN
cana-3680	70	11	μ2‖rw	μ2‖rw	PROPN
cana-3680	70	12	−	−	PROPN
cana-3680	70	13	ry‖2	ry‖2	PROPN
cana-3680	70	14	,	,	PUNCT
cana-3680	70	15	∀w	∀w	PROPN
cana-3680	70	16	,	,	PUNCT
cana-3680	70	17	y	y	PROPN
cana-3680	70	18	∈	∈	PROPN
cana-3680	70	19	ℋ.	ℋ.	PROPN
cana-3680	70	20	c	c	NOUN
cana-3680	70	21	)	)	PUNCT
cana-3680	70	22	a(p	a(p	NOUN
cana-3680	70	23	,	,	PUNCT
cana-3680	70	24	.	.	PUNCT
cana-3680	70	25	)	)	PUNCT
cana-3680	70	26	is	be	AUX
cana-3680	70	27	termed	term	VERB
cana-3680	70	28	𝑟1	𝑟1	PROPN
cana-3680	70	29	-lipschitz	-lipschitz	NOUN
cana-3680	70	30	continuous	continuous	ADJ
cana-3680	70	31	with	with	ADP
cana-3680	70	32	respect	respect	NOUN
cana-3680	70	33	to	to	ADP
cana-3680	70	34	p	p	NOUN
cana-3680	70	35	if	if	SCONJ
cana-3680	70	36	there	there	PRON
cana-3680	70	37	exists	exist	VERB
cana-3680	70	38	r1	r1	PROPN
cana-3680	70	39	>	>	X
cana-3680	70	40	0	0	NUM
cana-3680	70	41	such	such	ADJ
cana-3680	70	42	as	as	ADP
cana-3680	70	43	‖a(pw	‖a(pw	PROPN
cana-3680	70	44	,	,	PUNCT
cana-3680	70	45	.	.	PUNCT
cana-3680	70	46	)	)	PUNCT
cana-3680	71	1	−	−	ADP
cana-3680	71	2	a(py	a(py	NOUN
cana-3680	71	3	,	,	PUNCT
cana-3680	71	4	.	.	PUNCT
cana-3680	71	5	)	)	PUNCT
cana-3680	72	1	‖	‖	PROPN
cana-3680	72	2	≤	≤	NOUN
cana-3680	72	3	t1‖w−	t1‖w−	CCONJ
cana-3680	72	4	y‖,∀w	y‖,∀w	NUM
cana-3680	72	5	,	,	PUNCT
cana-3680	72	6	y	y	PROPN
cana-3680	72	7	∈	∈	PROPN
cana-3680	72	8	ℋ.	ℋ.	PROPN
cana-3680	72	9	communications	communication	NOUN
cana-3680	72	10	on	on	ADP
cana-3680	72	11	applied	apply	VERB
cana-3680	72	12	nonlinear	nonlinear	ADJ
cana-3680	72	13	analysis	analysis	NOUN
cana-3680	72	14	issn	issn	NOUN
cana-3680	72	15	:	:	PUNCT
cana-3680	72	16	1074	1074	NUM
cana-3680	72	17	-	-	PUNCT
cana-3680	72	18	133x	133x	NUM
cana-3680	72	19	vol	vol	NOUN
cana-3680	72	20	32	32	NUM
cana-3680	72	21	no	no	NOUN
cana-3680	72	22	.	.	PUNCT
cana-3680	73	1	8s	8s	PROPN
cana-3680	73	2	(	(	PUNCT
cana-3680	73	3	2025	2025	NUM
cana-3680	73	4	)	)	PUNCT
cana-3680	73	5	347	347	NUM
cana-3680	73	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3680	73	7	d	d	X
cana-3680	73	8	)	)	PUNCT
cana-3680	73	9	a	a	PRON
cana-3680	73	10	(	(	PUNCT
cana-3680	73	11	.	.	PUNCT
cana-3680	73	12	,	,	PUNCT
cana-3680	73	13	r	r	X
cana-3680	73	14	)	)	PUNCT
cana-3680	73	15	is	be	AUX
cana-3680	73	16	termed	term	VERB
cana-3680	73	17	r2	r2	NOUN
cana-3680	73	18	-	-	PUNCT
cana-3680	73	19	lipschitz	lipschitz	NOUN
cana-3680	73	20	continuous	continuous	ADJ
cana-3680	73	21	with	with	ADP
cana-3680	73	22	respect	respect	NOUN
cana-3680	73	23	to	to	ADP
cana-3680	73	24	r	r	NOUN
cana-3680	73	25	if	if	SCONJ
cana-3680	73	26	there	there	PRON
cana-3680	73	27	exists	exist	VERB
cana-3680	73	28	r2	r2	PROPN
cana-3680	73	29	>	>	X
cana-3680	73	30	0	0	NUM
cana-3680	74	1	such	such	ADJ
cana-3680	74	2	as	as	ADP
cana-3680	74	3	‖a	‖a	NOUN
cana-3680	74	4	(	(	PUNCT
cana-3680	74	5	.	.	PUNCT
cana-3680	74	6	,	,	PUNCT
cana-3680	74	7	rw	rw	PROPN
cana-3680	74	8	)	)	PUNCT
cana-3680	74	9	−	−	PROPN
cana-3680	75	1	a	a	DET
cana-3680	75	2	(	(	PUNCT
cana-3680	75	3	.	.	PUNCT
cana-3680	75	4	,	,	PUNCT
cana-3680	75	5	ry)‖	ry)‖	PROPN
cana-3680	75	6	≤	≤	NOUN
cana-3680	75	7	t2‖w−	t2‖w−	PROPN
cana-3680	75	8	y‖,∀w	y‖,∀w	NOUN
cana-3680	75	9	,	,	PUNCT
cana-3680	75	10	y	y	PROPN
cana-3680	75	11	∈	∈	PROPN
cana-3680	75	12	ℋ.	ℋ.	PROPN
cana-3680	75	13	definition	definition	NOUN
cana-3680	75	14	2.4	2.4	NUM
cana-3680	75	15	(	(	PUNCT
cana-3680	75	16	[	[	X
cana-3680	75	17	2	2	NUM
cana-3680	75	18	]	]	PUNCT
cana-3680	75	19	)	)	PUNCT
cana-3680	75	20	let	let	AUX
cana-3680	75	21	function	function	VERB
cana-3680	75	22	a:ℋ	a:ℋ	NUM
cana-3680	75	23	×ℋ	×ℋ	NOUN
cana-3680	75	24	→	→	SYM
cana-3680	75	25	ℋ	ℋ	PROPN
cana-3680	75	26	and	and	CCONJ
cana-3680	75	27	p	p	NOUN
cana-3680	75	28	,	,	PUNCT
cana-3680	75	29	r:ℋ	r:ℋ	PROPN
cana-3680	75	30	→	→	SYM
cana-3680	75	31	ℋ	ℋ	PROPN
cana-3680	75	32	are	be	AUX
cana-3680	75	33	the	the	DET
cana-3680	75	34	singlevalued	singlevalue	VERB
cana-3680	75	35	functions	function	NOUN
cana-3680	75	36	.	.	PUNCT
cana-3680	76	1	let	let	VERB
cana-3680	76	2	n:ℋ	n:ℋ	PROPN
cana-3680	76	3	→	→	SYM
cana-3680	76	4	2ℋ	2ℋ	NOUN
cana-3680	76	5	be	be	AUX
cana-3680	76	6	a	a	DET
cana-3680	76	7	multi	multi	ADJ
cana-3680	76	8	-	-	ADJ
cana-3680	76	9	valued	value	VERB
cana-3680	76	10	function	function	NOUN
cana-3680	76	11	.	.	PUNCT
cana-3680	77	1	n	n	PRON
cana-3680	77	2	is	be	AUX
cana-3680	77	3	termed	term	VERB
cana-3680	77	4	a	a	PRON
cana-3680	77	5	(	(	PUNCT
cana-3680	77	6	.	.	PUNCT
cana-3680	77	7	,	,	PUNCT
cana-3680	77	8	.	.	PUNCT
cana-3680	77	9	)	)	PUNCT
cana-3680	78	1	−	−	ADP
cana-3680	78	2	coocercive	coocercive	ADJ
cana-3680	78	3	with	with	ADP
cana-3680	78	4	respect	respect	NOUN
cana-3680	78	5	to	to	ADP
cana-3680	78	6	the	the	DET
cana-3680	78	7	functions	function	NOUN
cana-3680	78	8	p	p	NOUN
cana-3680	78	9	and	and	CCONJ
cana-3680	78	10	r	r	NOUN
cana-3680	78	11	(	(	PUNCT
cana-3680	78	12	or	or	CCONJ
cana-3680	78	13	simply	simply	ADV
cana-3680	78	14	a	a	PRON
cana-3680	78	15	(	(	PUNCT
cana-3680	78	16	.	.	PUNCT
cana-3680	78	17	,	,	PUNCT
cana-3680	78	18	.	.	PUNCT
cana-3680	78	19	)	)	PUNCT
cana-3680	79	1	−	−	PROPN
cana-3680	79	2	cocoerciveinthesequel	cocoerciveinthesequel	NOUN
cana-3680	79	3	)	)	PUNCT
cana-3680	79	4	if	if	SCONJ
cana-3680	79	5	n	n	PRON
cana-3680	79	6	is	be	AUX
cana-3680	79	7	cocoercive	cocoercive	ADJ
cana-3680	79	8	with	with	ADP
cana-3680	79	9	respect	respect	NOUN
cana-3680	79	10	to	to	ADP
cana-3680	79	11	p	p	NOUN
cana-3680	79	12	and	and	CCONJ
cana-3680	79	13	r	r	NOUN
cana-3680	79	14	and	and	CCONJ
cana-3680	79	15	[	[	X
cana-3680	79	16	a(p	a(p	NOUN
cana-3680	79	17	,	,	PUNCT
cana-3680	79	18	r	r	NOUN
cana-3680	79	19	)	)	PUNCT
cana-3680	79	20	+	+	NOUN
cana-3680	79	21	λn](ℋ	λn](ℋ	ADJ
cana-3680	79	22	)	)	PUNCT
cana-3680	79	23	=	=	SYM
cana-3680	79	24	ℋ	ℋ	PROPN
cana-3680	79	25	,	,	PUNCT
cana-3680	79	26	for	for	ADP
cana-3680	79	27	every	every	DET
cana-3680	79	28	λ	λ	PROPN
cana-3680	79	29	>	>	X
cana-3680	79	30	0	0	NUM
cana-3680	79	31	.	.	PUNCT
cana-3680	80	1	definition	definition	NOUN
cana-3680	80	2	2.5	2.5	NUM
cana-3680	80	3	(	(	PUNCT
cana-3680	80	4	[	[	X
cana-3680	80	5	2	2	NUM
cana-3680	80	6	]	]	PUNCT
cana-3680	80	7	)	)	PUNCT
cana-3680	80	8	let	let	VERB
cana-3680	80	9	a(p	a(p	NOUN
cana-3680	80	10	,	,	PUNCT
cana-3680	80	11	r	r	NOUN
cana-3680	80	12	)	)	PUNCT
cana-3680	80	13	be	be	AUX
cana-3680	80	14	μ	μ	NOUN
cana-3680	80	15	-	-	NOUN
cana-3680	80	16	cocoercive	cocoercive	ADJ
cana-3680	80	17	with	with	ADP
cana-3680	80	18	respect	respect	NOUN
cana-3680	80	19	to	to	ADP
cana-3680	80	20	p	p	NOUN
cana-3680	80	21	and	and	CCONJ
cana-3680	80	22	γ	γ	NOUN
cana-3680	80	23	-	-	PUNCT
cana-3680	80	24	relaxed	relaxed	ADJ
cana-3680	80	25	cocoercive	cocoercive	NOUN
cana-3680	80	26	with	with	ADP
cana-3680	80	27	respect	respect	NOUN
cana-3680	80	28	to	to	ADP
cana-3680	80	29	r	r	NOUN
cana-3680	80	30	,	,	PUNCT
cana-3680	80	31	p	p	NOUN
cana-3680	80	32	is	be	AUX
cana-3680	80	33	α	α	NOUN
cana-3680	80	34	-	-	ADJ
cana-3680	80	35	expansive	expansive	ADJ
cana-3680	80	36	,	,	PUNCT
cana-3680	80	37	r	r	NOUN
cana-3680	80	38	-	-	PUNCT
cana-3680	80	39	lipschitz	lipschitz	NOUN
cana-3680	80	40	continuous	continuous	ADJ
cana-3680	80	41	,	,	PUNCT
cana-3680	80	42	and	and	CCONJ
cana-3680	80	43	μ	μ	NOUN
cana-3680	80	44	>	>	X
cana-3680	80	45	γ	γ	PROPN
cana-3680	80	46	,	,	PUNCT
cana-3680	80	47	α	α	X
cana-3680	80	48	>	>	X
cana-3680	80	49	β	β	X
cana-3680	80	50	.	.	PUNCT
cana-3680	81	1	let	let	VERB
cana-3680	81	2	n	n	PRON
cana-3680	81	3	be	be	AUX
cana-3680	81	4	an	an	DET
cana-3680	81	5	a	a	NOUN
cana-3680	81	6	(	(	PUNCT
cana-3680	81	7	.	.	PUNCT
cana-3680	81	8	,	,	PUNCT
cana-3680	81	9	.	.	PUNCT
cana-3680	81	10	)	)	PUNCT
cana-3680	82	1	−	−	PROPN
cana-3680	82	2	cocoerciveoperatorwithrespectp	cocoerciveoperatorwithrespectp	PROPN
cana-3680	82	3	and	and	CCONJ
cana-3680	82	4	r.	r.	PROPN
cana-3680	82	5	the	the	DET
cana-3680	82	6	resolvent	resolvent	ADJ
cana-3680	82	7	operator	operator	NOUN
cana-3680	82	8	j	j	PROPN
cana-3680	82	9	λ	λ	PROPN
cana-3680	82	10	,	,	PUNCT
cana-3680	82	11	n	n	PRON
cana-3680	82	12	a	a	PRON
cana-3680	82	13	(	(	PUNCT
cana-3680	82	14	…	…	PUNCT
cana-3680	82	15	)	)	PUNCT
cana-3680	82	16	:	:	PUNCT
cana-3680	82	17	ℋ	ℋ	PROPN
cana-3680	82	18	→	→	SYM
cana-3680	82	19	ℋ	ℋ	PROPN
cana-3680	82	20	is	be	AUX
cana-3680	82	21	defined	define	VERB
cana-3680	82	22	by	by	ADP
cana-3680	82	23	jλ	jλ	ADJ
cana-3680	82	24	,	,	PUNCT
cana-3680	82	25	n	n	X
cana-3680	82	26	a(	a(	NOUN
cana-3680	82	27	…	…	PUNCT
cana-3680	82	28	.)(w	.)(w	PUNCT
cana-3680	82	29	)	)	PUNCT
cana-3680	83	1	=	=	PUNCT
cana-3680	84	1	[	[	X
cana-3680	84	2	a(p	a(p	NOUN
cana-3680	84	3	,	,	PUNCT
cana-3680	84	4	r	r	NOUN
cana-3680	84	5	)	)	PUNCT
cana-3680	84	6	+	+	NUM
cana-3680	84	7	λn]−1(w),∀w	λn]−1(w),∀w	PROPN
cana-3680	84	8	∈	∈	PROPN
cana-3680	84	9	ℋ	ℋ	PROPN
cana-3680	84	10	,	,	PUNCT
cana-3680	84	11	λ	λ	X
cana-3680	84	12	>	>	X
cana-3680	84	13	0	0	NUM
cana-3680	84	14	.	.	PUNCT
cana-3680	84	15	(	(	PUNCT
cana-3680	84	16	2.4	2.4	NUM
cana-3680	84	17	)	)	PUNCT
cana-3680	84	18	lemma	lemma	PROPN
cana-3680	84	19	2.1	2.1	NUM
cana-3680	84	20	(	(	PUNCT
cana-3680	84	21	[	[	X
cana-3680	84	22	2	2	NUM
cana-3680	84	23	]	]	PUNCT
cana-3680	84	24	)	)	PUNCT
cana-3680	84	25	.	.	PUNCT
cana-3680	85	1	let	let	VERB
cana-3680	85	2	a(p	a(p	NOUN
cana-3680	85	3	,	,	PUNCT
cana-3680	85	4	q	q	X
cana-3680	85	5	)	)	PUNCT
cana-3680	85	6	be	be	AUX
cana-3680	85	7	μ	μ	NOUN
cana-3680	85	8	-	-	NOUN
cana-3680	85	9	cocoercive	cocoercive	ADJ
cana-3680	85	10	with	with	ADP
cana-3680	85	11	respect	respect	NOUN
cana-3680	85	12	to	to	ADP
cana-3680	85	13	p	p	PRON
cana-3680	85	14	,	,	PUNCT
cana-3680	85	15	γ	γ	NOUN
cana-3680	85	16	-	-	PUNCT
cana-3680	85	17	relaxed	relaxed	ADJ
cana-3680	85	18	coocoercive	coocoercive	NOUN
cana-3680	85	19	with	with	ADP
cana-3680	85	20	respect	respect	NOUN
cana-3680	85	21	to	to	ADP
cana-3680	85	22	r	r	NOUN
cana-3680	85	23	,	,	PUNCT
cana-3680	85	24	p	p	NOUN
cana-3680	85	25	is	be	AUX
cana-3680	85	26	α	α	NOUN
cana-3680	85	27	-	-	ADJ
cana-3680	85	28	expansive	expansive	ADJ
cana-3680	85	29	,	,	PUNCT
cana-3680	85	30	r	r	NOUN
cana-3680	85	31	is	be	AUX
cana-3680	85	32	β	β	NOUN
cana-3680	85	33	-	-	ADJ
cana-3680	85	34	lipschitz	lipschitz	ADJ
cana-3680	85	35	continuous	continuous	ADJ
cana-3680	85	36	,	,	PUNCT
cana-3680	85	37	and	and	CCONJ
cana-3680	85	38	μ	μ	NOUN
cana-3680	85	39	>	>	X
cana-3680	85	40	γ	γ	PROPN
cana-3680	85	41	,	,	PUNCT
cana-3680	85	42	α	α	X
cana-3680	85	43	>	>	X
cana-3680	85	44	β	β	X
cana-3680	85	45	.	.	PUNCT
cana-3680	86	1	let	let	VERB
cana-3680	86	2	n	n	PRON
cana-3680	86	3	be	be	AUX
cana-3680	86	4	an	an	DET
cana-3680	86	5	a	a	NOUN
cana-3680	86	6	(	(	PUNCT
cana-3680	86	7	.	.	PUNCT
cana-3680	86	8	,	,	PUNCT
cana-3680	86	9	.	.	PUNCT
cana-3680	86	10	)	)	PUNCT
cana-3680	87	1	−	−	NOUN
cana-3680	87	2	cocoerciveoperatorwithtop	cocoerciveoperatorwithtop	NOUN
cana-3680	87	3	and	and	CCONJ
cana-3680	87	4	r.	r.	PROPN
cana-3680	87	5	then	then	ADV
cana-3680	87	6	the	the	DET
cana-3680	87	7	resolvent	resolvent	ADJ
cana-3680	87	8	operator	operator	NOUN
cana-3680	87	9	j	j	PROPN
cana-3680	87	10	λ	λ	PROPN
cana-3680	87	11	,	,	PUNCT
cana-3680	87	12	n	n	PRON
cana-3680	87	13	a	a	PRON
cana-3680	87	14	(	(	PUNCT
cana-3680	87	15	…	…	PUNCT
cana-3680	87	16	.	.	NUM
cana-3680	87	17	)	)	PUNCT
cana-3680	88	1	:	:	PUNCT
cana-3680	88	2	ℋ	ℋ	PROPN
cana-3680	88	3	→	→	SYM
cana-3680	88	4	ℋ	ℋ	PROPN
cana-3680	88	5	is	be	AUX
cana-3680	88	6	1	1	NUM
cana-3680	88	7	μα2−γβ2	μα2−γβ2	NUM
cana-3680	88	8	-lipschitz	-lipschitz	NOUN
cana-3680	88	9	continuous	continuous	ADJ
cana-3680	88	10	,	,	PUNCT
cana-3680	88	11	that	that	PRON
cana-3680	88	12	is	be	AUX
cana-3680	88	13	‖j	‖j	PROPN
cana-3680	88	14	λ	λ	PROPN
cana-3680	88	15	,	,	PUNCT
cana-3680	88	16	n	n	PROPN
cana-3680	88	17	a	a	PRON
cana-3680	88	18	(	(	PUNCT
cana-3680	88	19	…	…	PUNCT
cana-3680	88	20	)	)	PUNCT
cana-3680	88	21	(	(	PUNCT
cana-3680	88	22	w)−	w)−	PROPN
cana-3680	88	23	j	j	PROPN
cana-3680	88	24	λ	λ	PROPN
cana-3680	88	25	,	,	PUNCT
cana-3680	88	26	n	n	PRON
cana-3680	88	27	a	a	PRON
cana-3680	88	28	(	(	PUNCT
cana-3680	88	29	…	…	PUNCT
cana-3680	88	30	)	)	PUNCT
cana-3680	88	31	(	(	PUNCT
cana-3680	88	32	y)‖	y)‖	NOUN
cana-3680	88	33	≤	≤	ADV
cana-3680	88	34	1	1	NUM
cana-3680	88	35	μα2	μα2	NOUN
cana-3680	88	36	−	−	NOUN
cana-3680	88	37	γβ2	γβ2	VERB
cana-3680	88	38	‖w	‖w	NOUN
cana-3680	88	39	−	−	PROPN
cana-3680	88	40	y‖	y‖	PROPN
cana-3680	88	41	,	,	PUNCT
cana-3680	88	42	∀w	∀w	PROPN
cana-3680	88	43	,	,	PUNCT
cana-3680	88	44	y	y	PROPN
cana-3680	88	45	∈	∈	PROPN
cana-3680	88	46	ℋ	ℋ	PROPN
cana-3680	88	47	(	(	PUNCT
cana-3680	88	48	2.5	2.5	NUM
cana-3680	88	49	)	)	PUNCT
cana-3680	88	50	3	3	NUM
cana-3680	88	51	.	.	PUNCT
cana-3680	89	1	𝑺-iteration	𝑺-iteration	NOUN
cana-3680	89	2	algorithms	algorithm	NOUN
cana-3680	89	3	and	and	CCONJ
cana-3680	89	4	convergence	convergence	NOUN
cana-3680	89	5	analysis	analysis	NOUN
cana-3680	89	6	the	the	DET
cana-3680	89	7	under	under	ADP
cana-3680	89	8	mentioned	mention	VERB
cana-3680	89	9	lemma	lemma	PROPN
cana-3680	89	10	ensures	ensure	VERB
cana-3680	89	11	the	the	DET
cana-3680	89	12	equivalence	equivalence	NOUN
cana-3680	89	13	between	between	ADP
cana-3680	89	14	fixed	fix	VERB
cana-3680	89	15	point	point	NOUN
cana-3680	89	16	problem	problem	NOUN
cana-3680	89	17	and	and	CCONJ
cana-3680	89	18	(	(	PUNCT
cana-3680	89	19	2.1	2.1	NUM
cana-3680	89	20	)	)	PUNCT
cana-3680	89	21	.	.	PUNCT
cana-3680	90	1	this	this	PRON
cana-3680	90	2	serves	serve	VERB
cana-3680	90	3	as	as	ADP
cana-3680	90	4	the	the	DET
cana-3680	90	5	inspiration	inspiration	NOUN
cana-3680	90	6	for	for	ADP
cana-3680	90	7	the	the	DET
cana-3680	90	8	upcoming	upcoming	ADJ
cana-3680	90	9	outcome	outcome	NOUN
cana-3680	90	10	we	we	PRON
cana-3680	90	11	will	will	AUX
cana-3680	90	12	present	present	VERB
cana-3680	90	13	.	.	PUNCT
cana-3680	91	1	lemma	lemma	PROPN
cana-3680	91	2	3.1	3.1	NUM
cana-3680	91	3	.	.	PUNCT
cana-3680	92	1	let	let	VERB
cana-3680	92	2	𝐴:ℋ	𝐴:ℋ	PROPN
cana-3680	92	3	×ℋ	×ℋ	VERB
cana-3680	92	4	→	→	SYM
cana-3680	92	5	ℋ	ℋ	PROPN
cana-3680	92	6	and	and	CCONJ
cana-3680	92	7	𝑃	𝑃	PROPN
cana-3680	92	8	,	,	PUNCT
cana-3680	92	9	𝑅	𝑅	PROPN
cana-3680	92	10	,	,	PUNCT
cana-3680	92	11	𝑆	𝑆	PROPN
cana-3680	92	12	,	,	PUNCT
cana-3680	92	13	𝑇	𝑇	PROPN
cana-3680	92	14	,	,	PUNCT
cana-3680	92	15	𝑔:ℋ	𝑔:ℋ	PROPN
cana-3680	92	16	→ℋ	→ℋ	PROPN
cana-3680	92	17	are	be	AUX
cana-3680	92	18	single	single	ADJ
cana-3680	92	19	-	-	PUNCT
cana-3680	92	20	valued	value	VERB
cana-3680	92	21	functions	function	NOUN
cana-3680	92	22	with	with	ADP
cana-3680	92	23	𝑔(ℋ	𝑔(ℋ	PROPN
cana-3680	92	24	)	)	PUNCT
cana-3680	92	25	∩	∩	ADJ
cana-3680	92	26	𝑑𝑜𝑚(𝑃	𝑑𝑜𝑚(𝑃	PROPN
cana-3680	92	27	)	)	PUNCT
cana-3680	92	28	≠	≠	PROPN
cana-3680	92	29	∅	∅	NOUN
cana-3680	92	30	and	and	CCONJ
cana-3680	92	31	𝑔(ℋ	𝑔(ℋ	PROPN
cana-3680	92	32	)	)	PUNCT
cana-3680	92	33	∩	∩	NOUN
cana-3680	92	34	𝑑𝑜𝑚(𝑅	𝑑𝑜𝑚(𝑅	ADJ
cana-3680	92	35	)	)	PUNCT
cana-3680	92	36	≠	≠	PROPN
cana-3680	92	37	∅	∅	NOUN
cana-3680	92	38	,	,	PUNCT
cana-3680	92	39	and	and	CCONJ
cana-3680	92	40	𝑁:ℋ	𝑁:ℋ	PROPN
cana-3680	92	41	→	→	SYM
cana-3680	92	42	2ℋ	2ℋ	NOUN
cana-3680	92	43	be	be	AUX
cana-3680	92	44	a	a	DET
cana-3680	92	45	multi	multi	ADJ
cana-3680	92	46	-	-	ADJ
cana-3680	92	47	valued	value	VERB
cana-3680	92	48	function	function	NOUN
cana-3680	92	49	such	such	ADJ
cana-3680	92	50	as	as	ADP
cana-3680	92	51	𝐴	𝐴	PROPN
cana-3680	92	52	(	(	PUNCT
cana-3680	92	53	.	.	PUNCT
cana-3680	92	54	,	,	PUNCT
cana-3680	92	55	.	.	PUNCT
cana-3680	92	56	)	)	PUNCT
cana-3680	93	1	co	co	VERB
cana-3680	93	2	-	-	ADJ
cana-3680	93	3	coercive	coercive	ADJ
cana-3680	93	4	with	with	ADP
cana-3680	93	5	respect	respect	NOUN
cana-3680	93	6	to	to	ADP
cana-3680	93	7	and	and	CCONJ
cana-3680	93	8	𝑃	𝑃	PROPN
cana-3680	93	9	,	,	PUNCT
cana-3680	93	10	𝑅	𝑅	PROPN
cana-3680	93	11	and	and	CCONJ
cana-3680	93	12	𝑔	𝑔	PROPN
cana-3680	93	13	.	.	PUNCT
cana-3680	94	1	then	then	ADV
cana-3680	94	2	𝑤	𝑤	ADP
cana-3680	94	3	∈	∈	PROPN
cana-3680	94	4	ℋ	ℋ	PROPN
cana-3680	94	5	is	be	AUX
cana-3680	94	6	a	a	DET
cana-3680	94	7	solution	solution	NOUN
cana-3680	94	8	of	of	ADP
cana-3680	94	9	(	(	PUNCT
cana-3680	94	10	2.1	2.1	NUM
cana-3680	94	11	)	)	PUNCT
cana-3680	94	12	if	if	SCONJ
cana-3680	94	13	and	and	CCONJ
cana-3680	94	14	only	only	ADV
cana-3680	94	15	if	if	SCONJ
cana-3680	94	16	𝑔(𝑤	𝑔(𝑤	NOUN
cana-3680	94	17	)	)	PUNCT
cana-3680	95	1	=	=	SYM
cana-3680	95	2	𝐽𝜆,𝑁	𝐽𝜆,𝑁	NOUN
cana-3680	95	3	𝐴(.,.)[𝐴(𝑃𝑜𝑔(𝑤),𝑅𝑜𝑔(𝑤))−	𝐴(.,.)[𝐴(𝑃𝑜𝑔(𝑤),𝑅𝑜𝑔(𝑤))−	ADJ
cana-3680	95	4	𝜆(𝑆(𝑤	𝜆(𝑆(𝑤	NOUN
cana-3680	95	5	)	)	PUNCT
cana-3680	96	1	−	−	PROPN
cana-3680	96	2	𝑇(𝑤))+	𝑇(𝑤))+	INTJ
cana-3680	96	3	𝜆𝜌	𝜆𝜌	X
cana-3680	96	4	]	]	X
cana-3680	96	5	(	(	PUNCT
cana-3680	96	6	3.1	3.1	NUM
cana-3680	96	7	)	)	PUNCT
cana-3680	96	8	where	where	SCONJ
cana-3680	96	9	𝜆	𝜆	ADP
cana-3680	96	10	>	>	X
cana-3680	96	11	0	0	X
cana-3680	96	12	.	.	PUNCT
cana-3680	97	1	algorithm	algorithm	PROPN
cana-3680	97	2	3.1	3.1	NUM
cana-3680	97	3	.	.	PUNCT
cana-3680	98	1	the	the	DET
cana-3680	98	2	iterative	iterative	NOUN
cana-3680	98	3	sequence	sequence	NOUN
cana-3680	98	4	{	{	PUNCT
cana-3680	98	5	𝑤𝑛	𝑤𝑛	NOUN
cana-3680	98	6	}	}	PUNCT
cana-3680	98	7	for	for	ADP
cana-3680	98	8	all	all	DET
cana-3680	98	9	𝑛	𝑛	DET
cana-3680	98	10	∈	∈	NOUN
cana-3680	98	11	𝑁0	𝑁0	VERB
cana-3680	98	12	is	be	AUX
cana-3680	98	13	s	s	PRON
cana-3680	98	14	stated	state	VERB
cana-3680	98	15	as	as	ADP
cana-3680	98	16	{	{	PUNCT
cana-3680	98	17	𝑤0	𝑤0	NOUN
cana-3680	98	18	∈	∈	PROPN
cana-3680	98	19	ℋ	ℋ	PROPN
cana-3680	98	20	𝑤𝑛+1	𝑤𝑛+1	X
cana-3680	98	21	=	=	PUNCT
cana-3680	98	22	(	(	PUNCT
cana-3680	98	23	1−	1−	NUM
cana-3680	98	24	𝛼𝑛)𝑤𝑛	𝛼𝑛)𝑤𝑛	PUNCT
cana-3680	99	1	+	+	SCONJ
cana-3680	99	2	𝛼𝑛[𝑤𝑛	𝛼𝑛[𝑤𝑛	VERB
cana-3680	99	3	−𝑔(𝑤𝑛	−𝑔(𝑤𝑛	NOUN
cana-3680	99	4	)	)	PUNCT
cana-3680	100	1	+	+	CCONJ
cana-3680	100	2	𝐽𝜆	𝐽𝜆	ADV
cana-3680	100	3	,	,	PUNCT
cana-3680	100	4	𝑁	𝑁	PROPN
cana-3680	100	5	𝐴	𝐴	PROPN
cana-3680	100	6	(	(	PUNCT
cana-3680	100	7	…	…	PUNCT
cana-3680	100	8	.	.	PUNCT
cana-3680	100	9	)	)	PUNCT
cana-3680	101	1	[	[	X
cana-3680	101	2	𝐴(𝑃𝑜𝑔(𝑤𝑛),𝑅𝑜𝑔(𝑤𝑛	𝐴(𝑃𝑜𝑔(𝑤𝑛),𝑅𝑜𝑔(𝑤𝑛	PROPN
cana-3680	101	3	)	)	PUNCT
cana-3680	101	4	)	)	PUNCT
cana-3680	101	5	−𝜆(𝑆(𝑤𝑛	−𝜆(𝑆(𝑤𝑛	X
cana-3680	101	6	)	)	PUNCT
cana-3680	101	7	−	−	PROPN
cana-3680	101	8	𝑇(𝑤𝑛	𝑇(𝑤𝑛	NOUN
cana-3680	101	9	)	)	PUNCT
cana-3680	101	10	)	)	PUNCT
cana-3680	102	1	+	+	CCONJ
cana-3680	102	2	𝜆𝜌	𝜆𝜌	X
cana-3680	102	3	]	]	X
cana-3680	102	4	]	]	X
cana-3680	102	5	(	(	PUNCT
cana-3680	102	6	3.2	3.2	NUM
cana-3680	102	7	)	)	PUNCT
cana-3680	102	8	where	where	SCONJ
cana-3680	102	9	{	{	PUNCT
cana-3680	102	10	𝛼𝑛	𝛼𝑛	X
cana-3680	102	11	}	}	PUNCT
cana-3680	102	12	is	be	AUX
cana-3680	102	13	a	a	DET
cana-3680	102	14	sequence	sequence	NOUN
cana-3680	102	15	in	in	ADP
cana-3680	102	16	[	[	X
cana-3680	102	17	0,1	0,1	NOUN
cana-3680	102	18	]	]	PUNCT
cana-3680	102	19	satisfying	satisfy	VERB
cana-3680	102	20	the	the	DET
cana-3680	102	21	condition∑𝑛=0	condition∑𝑛=0	NOUN
cana-3680	102	22	∞	∞	PROPN
cana-3680	102	23	𝛼𝑛	𝛼𝑛	PROPN
cana-3680	102	24	=	=	SYM
cana-3680	102	25	∞	∞	PROPN
cana-3680	102	26	.	.	PUNCT
cana-3680	103	1	communications	communication	NOUN
cana-3680	103	2	on	on	ADP
cana-3680	103	3	applied	apply	VERB
cana-3680	103	4	nonlinear	nonlinear	ADJ
cana-3680	103	5	analysis	analysis	NOUN
cana-3680	103	6	issn	issn	NOUN
cana-3680	103	7	:	:	PUNCT
cana-3680	103	8	1074	1074	NUM
cana-3680	103	9	-	-	PUNCT
cana-3680	103	10	133x	133x	NUM
cana-3680	103	11	vol	vol	NOUN
cana-3680	103	12	32	32	NUM
cana-3680	103	13	no	no	NOUN
cana-3680	103	14	.	.	PUNCT
cana-3680	104	1	8s	8s	PROPN
cana-3680	104	2	(	(	PUNCT
cana-3680	104	3	2025	2025	NUM
cana-3680	104	4	)	)	PUNCT
cana-3680	104	5	348	348	NUM
cana-3680	104	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3680	104	7	algorithm	algorithm	NOUN
cana-3680	104	8	3.2	3.2	NUM
cana-3680	104	9	.	.	PUNCT
cana-3680	105	1	the	the	DET
cana-3680	105	2	iterative	iterative	NOUN
cana-3680	105	3	sequence	sequence	NOUN
cana-3680	105	4	{	{	PUNCT
cana-3680	105	5	𝑞𝑛	𝑞𝑛	NOUN
cana-3680	105	6	}	}	PUNCT
cana-3680	105	7	for	for	ADP
cana-3680	105	8	all	all	DET
cana-3680	105	9	𝑛	𝑛	DET
cana-3680	105	10	∈	∈	NOUN
cana-3680	105	11	𝑁0	𝑁0	VERB
cana-3680	105	12	is	be	AUX
cana-3680	105	13	s	s	PRON
cana-3680	105	14	stated	state	VERB
cana-3680	105	15	as	as	ADP
cana-3680	105	16	{	{	PUNCT
cana-3680	105	17	𝑞0	𝑞0	PROPN
cana-3680	105	18	∈	∈	PROPN
cana-3680	105	19	ℋ	ℋ	PROPN
cana-3680	105	20	𝑞𝑛+1	𝑞𝑛+1	NUM
cana-3680	105	21	=	=	SYM
cana-3680	105	22	(	(	PUNCT
cana-3680	105	23	1−	1−	NUM
cana-3680	105	24	𝜉𝑛)𝑞𝑛	𝜉𝑛)𝑞𝑛	NUM
cana-3680	105	25	+	+	NUM
cana-3680	105	26	𝜉𝑛[𝑟𝑛	𝜉𝑛[𝑟𝑛	NOUN
cana-3680	105	27	−𝑔(𝑟𝑛	−𝑔(𝑟𝑛	NOUN
cana-3680	105	28	)	)	PUNCT
cana-3680	106	1	+	+	CCONJ
cana-3680	106	2	𝐽𝜆	𝐽𝜆	ADV
cana-3680	106	3	,	,	PUNCT
cana-3680	106	4	𝑁	𝑁	PROPN
cana-3680	106	5	𝐴(	𝐴(	NOUN
cana-3680	106	6	…	…	PUNCT
cana-3680	106	7	.)[𝐴(𝑃𝑜𝑔(𝑟𝑛),𝑅𝑜𝑔(𝑟𝑛	.)[𝐴(𝑃𝑜𝑔(𝑟𝑛),𝑅𝑜𝑔(𝑟𝑛	NUM
cana-3680	106	8	)	)	PUNCT
cana-3680	106	9	)	)	PUNCT
cana-3680	106	10	−𝜆(𝑆(𝑟𝑛	−𝜆(𝑆(𝑟𝑛	VERB
cana-3680	106	11	)	)	PUNCT
cana-3680	106	12	−	−	PROPN
cana-3680	106	13	𝑇(𝑟𝑛	𝑇(𝑟𝑛	NOUN
cana-3680	106	14	)	)	PUNCT
cana-3680	106	15	)	)	PUNCT
cana-3680	107	1	+	+	CCONJ
cana-3680	107	2	𝜆𝜌	𝜆𝜌	X
cana-3680	107	3	]	]	X
cana-3680	107	4	]	]	X
cana-3680	107	5	𝑟𝑛+1	𝑟𝑛+1	X
cana-3680	107	6	=	=	SYM
cana-3680	107	7	(	(	PUNCT
cana-3680	107	8	1−𝜇𝑛)𝑞𝑛	1−𝜇𝑛)𝑞𝑛	NUM
cana-3680	107	9	+	+	CCONJ
cana-3680	107	10	𝜇𝑛[𝑞𝑛	𝜇𝑛[𝑞𝑛	NOUN
cana-3680	107	11	−𝑔(𝑞𝑛	−𝑔(𝑞𝑛	NOUN
cana-3680	107	12	)	)	PUNCT
cana-3680	107	13	+	+	CCONJ
cana-3680	108	1	𝐽𝜆	𝐽𝜆	ADV
cana-3680	108	2	,	,	PUNCT
cana-3680	108	3	𝑁	𝑁	PROPN
cana-3680	108	4	𝐴(	𝐴(	NOUN
cana-3680	108	5	…	…	PUNCT
cana-3680	108	6	.)[𝐴(𝑃𝑜𝑔(𝑞𝑛),𝑅𝑜𝑔(𝑞𝑛	.)[𝐴(𝑃𝑜𝑔(𝑞𝑛),𝑅𝑜𝑔(𝑞𝑛	NUM
cana-3680	108	7	)	)	PUNCT
cana-3680	108	8	)	)	PUNCT
cana-3680	108	9	−𝜆(𝑆(𝑞𝑛)−	−𝜆(𝑆(𝑞𝑛)−	ADV
cana-3680	108	10	𝑇(𝑞𝑛))+	𝑇(𝑞𝑛))+	VERB
cana-3680	108	11	𝜆𝜌	𝜆𝜌	X
cana-3680	108	12	]	]	X
cana-3680	108	13	]	]	X
cana-3680	108	14	(	(	PUNCT
cana-3680	108	15	3.3	3.3	NUM
cana-3680	108	16	)	)	PUNCT
cana-3680	108	17	where	where	SCONJ
cana-3680	108	18	{	{	PUNCT
cana-3680	108	19	𝜉𝑛	𝜉𝑛	NOUN
cana-3680	108	20	}	}	PUNCT
cana-3680	108	21	and	and	CCONJ
cana-3680	108	22	{	{	PUNCT
cana-3680	108	23	𝜇𝑛	𝜇𝑛	NOUN
cana-3680	108	24	}	}	PUNCT
cana-3680	108	25	are	be	AUX
cana-3680	108	26	sequences	sequence	NOUN
cana-3680	108	27	in	in	ADP
cana-3680	108	28	[	[	X
cana-3680	108	29	0,1	0,1	NOUN
cana-3680	108	30	]	]	PUNCT
cana-3680	108	31	satisfying	satisfy	VERB
cana-3680	108	32	the	the	DET
cana-3680	108	33	condition	condition	NOUN
cana-3680	108	34	∑	∑	ADP
cana-3680	108	35	𝜉𝑛	𝜉𝑛	ADP
cana-3680	108	36	∞	∞	NUM
cana-3680	108	37	𝑛=0	𝑛=0	PROPN
cana-3680	108	38	=	=	SYM
cana-3680	108	39	∞.	∞.	PROPN
cana-3680	108	40	theorem	theorem	VERB
cana-3680	108	41	3.1	3.1	NUM
cana-3680	108	42	.	.	PUNCT
cana-3680	109	1	let	let	VERB
cana-3680	109	2	ℋ	ℋ	PRON
cana-3680	109	3	be	be	AUX
cana-3680	109	4	a	a	DET
cana-3680	109	5	real	real	ADJ
cana-3680	109	6	hilbert	hilbert	NOUN
cana-3680	109	7	space	space	NOUN
cana-3680	109	8	and	and	CCONJ
cana-3680	109	9	𝐴:ℋ	𝐴:ℋ	PROPN
cana-3680	109	10	×ℋ	×ℋ	NOUN
cana-3680	109	11	→	→	SYM
cana-3680	109	12	ℋ	ℋ	PROPN
cana-3680	109	13	and	and	CCONJ
cana-3680	109	14	𝑃	𝑃	PROPN
cana-3680	109	15	,	,	PUNCT
cana-3680	109	16	𝑅	𝑅	PROPN
cana-3680	109	17	,	,	PUNCT
cana-3680	109	18	𝑆	𝑆	PROPN
cana-3680	109	19	,	,	PUNCT
cana-3680	109	20	𝑇	𝑇	PROPN
cana-3680	109	21	,	,	PUNCT
cana-3680	109	22	𝑔:ℋ	𝑔:ℋ	PROPN
cana-3680	109	23	→	→	SYM
cana-3680	109	24	ℋ	ℋ	PROPN
cana-3680	109	25	are	be	AUX
cana-3680	109	26	singlevalued	singlevalue	VERB
cana-3680	109	27	functions	function	NOUN
cana-3680	109	28	and	and	CCONJ
cana-3680	109	29	𝑁:ℋ	𝑁:ℋ	PROPN
cana-3680	109	30	→	→	SYM
cana-3680	109	31	2ℋ	2ℋ	NOUN
cana-3680	109	32	be	be	AUX
cana-3680	109	33	a	a	DET
cana-3680	109	34	multi	multi	ADJ
cana-3680	109	35	-	-	ADJ
cana-3680	109	36	valued	value	VERB
cana-3680	109	37	function	function	NOUN
cana-3680	109	38	such	such	ADJ
cana-3680	109	39	as	as	ADP
cana-3680	109	40	𝐴	𝐴	PROPN
cana-3680	109	41	(	(	PUNCT
cana-3680	109	42	.	.	PUNCT
cana-3680	109	43	,	,	PUNCT
cana-3680	109	44	.	.	PUNCT
cana-3680	109	45	)	)	PUNCT
cana-3680	110	1	comt	comt	NOUN
cana-3680	110	2	with	with	ADP
cana-3680	110	3	respect	respect	NOUN
cana-3680	110	4	to	to	ADP
cana-3680	110	5	𝑃	𝑃	PROPN
cana-3680	110	6	,	,	PUNCT
cana-3680	110	7	𝑅	𝑅	PROPN
cana-3680	110	8	,	,	PUNCT
cana-3680	110	9	𝑔	𝑔	PROPN
cana-3680	110	10	operator	operator	NOUN
cana-3680	110	11	.	.	PUNCT
cana-3680	111	1	assume	assume	VERB
cana-3680	111	2	that	that	SCONJ
cana-3680	111	3	𝐴	𝐴	PROPN
cana-3680	111	4	(	(	PUNCT
cana-3680	111	5	.	.	PUNCT
cana-3680	111	6	,	,	PUNCT
cana-3680	111	7	.	.	PUNCT
cana-3680	111	8	)	)	PUNCT
cana-3680	112	1	is	be	AUX
cana-3680	112	2	lipschitz	lipschitz	NOUN
cana-3680	112	3	continuous	continuous	ADJ
cana-3680	112	4	with	with	ADP
cana-3680	112	5	constant	constant	ADJ
cana-3680	112	6	𝑡	𝑡	X
cana-3680	112	7	>	>	X
cana-3680	112	8	0	0	NUM
cana-3680	112	9	,	,	PUNCT
cana-3680	112	10	mixed	mix	VERB
cana-3680	112	11	strongly	strongly	ADV
cana-3680	112	12	mt	mt	PROPN
cana-3680	112	13	with	with	ADP
cana-3680	112	14	respect	respect	NOUN
cana-3680	112	15	to	to	ADP
cana-3680	112	16	𝑃	𝑃	NOUN
cana-3680	112	17	and	and	CCONJ
cana-3680	112	18	𝑅	𝑅	NOUN
cana-3680	112	19	with	with	ADP
cana-3680	112	20	constant	constant	ADJ
cana-3680	112	21	𝛿	𝛿	PROPN
cana-3680	112	22	>	>	X
cana-3680	112	23	0	0	NUM
cana-3680	112	24	,	,	PUNCT
cana-3680	112	25	𝑔	𝑔	PROPN
cana-3680	112	26	is	be	AUX
cana-3680	112	27	strongly	strongly	ADV
cana-3680	112	28	mt	mt	PROPN
cana-3680	112	29	with	with	ADP
cana-3680	112	30	constant	constant	ADJ
cana-3680	112	31	𝛿𝑔	𝛿𝑔	NOUN
cana-3680	112	32	>	>	X
cana-3680	112	33	0	0	NUM
cana-3680	112	34	and	and	CCONJ
cana-3680	112	35	𝑔	𝑔	NOUN
cana-3680	112	36	,	,	PUNCT
cana-3680	112	37	𝑃	𝑃	NOUN
cana-3680	112	38	,	,	PUNCT
cana-3680	112	39	𝑅	𝑅	PROPN
cana-3680	112	40	,	,	PUNCT
cana-3680	112	41	𝑆	𝑆	PROPN
cana-3680	112	42	,	,	PUNCT
cana-3680	112	43	𝑇	𝑇	PROPN
cana-3680	112	44	are	be	AUX
cana-3680	112	45	lipschitz	lipschitz	NOUN
cana-3680	112	46	continuous	continuous	ADJ
cana-3680	112	47	with	with	ADP
cana-3680	112	48	constants	constant	NOUN
cana-3680	112	49	𝜆𝑔	𝜆𝑔	NOUN
cana-3680	112	50	,	,	PUNCT
cana-3680	112	51	𝜆𝑃,𝜆𝑅	𝜆𝑃,𝜆𝑅	PROPN
cana-3680	112	52	,	,	PUNCT
cana-3680	112	53	𝜆𝑆	𝜆𝑆	PUNCT
cana-3680	112	54	and	and	CCONJ
cana-3680	112	55	𝜆𝑇	𝜆𝑇	ADV
cana-3680	112	56	respectively	respectively	ADV
cana-3680	112	57	.	.	PUNCT
cana-3680	113	1	let	let	AUX
cana-3680	113	2	{	{	PUNCT
cana-3680	113	3	𝑤𝑛	𝑤𝑛	AUX
cana-3680	113	4	}	}	PUNCT
cana-3680	113	5	be	be	AUX
cana-3680	113	6	a	a	DET
cana-3680	113	7	iterative	iterative	NOUN
cana-3680	113	8	sequences	sequence	NOUN
cana-3680	113	9	generated	generate	VERB
cana-3680	113	10	by	by	ADP
cana-3680	113	11	(	(	PUNCT
cana-3680	113	12	3.1	3.1	NUM
cana-3680	113	13	)	)	PUNCT
cana-3680	113	14	with	with	ADP
cana-3680	113	15	the	the	DET
cana-3680	113	16	sequence	sequence	NOUN
cana-3680	113	17	{	{	PUNCT
cana-3680	113	18	𝛼𝑛	𝛼𝑛	PROPN
cana-3680	113	19	}	}	PUNCT
cana-3680	113	20	⊂	⊂	PROPN
cana-3680	114	1	[	[	X
cana-3680	114	2	0,1	0,1	X
cana-3680	114	3	]	]	PUNCT
cana-3680	114	4	and	and	CCONJ
cana-3680	114	5	satisfying	satisfy	VERB
cana-3680	114	6	the	the	DET
cana-3680	114	7	condition	condition	NOUN
cana-3680	114	8	∑	∑	PROPN
cana-3680	114	9	𝛼𝑛	𝛼𝑛	PROPN
cana-3680	114	10	∞	∞	NUM
cana-3680	114	11	𝑛=0	𝑛=0	PROPN
cana-3680	114	12	=	=	SYM
cana-3680	114	13	∞	∞	PROPN
cana-3680	114	14	,	,	PUNCT
cana-3680	114	15	and	and	CCONJ
cana-3680	114	16	there	there	PRON
cana-3680	114	17	exists	exist	VERB
cana-3680	114	18	a	a	DET
cana-3680	114	19	constant	constant	ADJ
cana-3680	114	20	𝜆	𝜆	ADP
cana-3680	114	21	>	>	X
cana-3680	114	22	0	0	NUM
cana-3680	114	23	such	such	ADJ
cana-3680	114	24	as	as	ADP
cana-3680	114	25	{	{	PUNCT
cana-3680	114	26	(	(	PUNCT
cana-3680	114	27	𝜇𝛼2	𝜇𝛼2	NOUN
cana-3680	114	28	−	−	PROPN
cana-3680	114	29	𝛾𝛽2)2(1−	𝛾𝛽2)2(1−	PROPN
cana-3680	114	30	2𝛿𝑔	2𝛿𝑔	NOUN
cana-3680	115	1	+	+	CCONJ
cana-3680	115	2	𝜆𝑔	𝜆𝑔	NOUN
cana-3680	115	3	2	2	NUM
cana-3680	115	4	)	)	PUNCT
cana-3680	115	5	<	<	X
cana-3680	116	1	[	[	X
cana-3680	116	2	𝜇𝛼2	𝜇𝛼2	NOUN
cana-3680	116	3	−	−	NOUN
cana-3680	116	4	𝛾𝛽2	𝛾𝛽2	NOUN
cana-3680	116	5	−	−	PROPN
cana-3680	117	1	𝑡1𝜆𝑃𝜆𝑔	𝑡1𝜆𝑃𝜆𝑔	PROPN
cana-3680	117	2	−	−	PROPN
cana-3680	117	3	𝑡2𝜆𝑅𝜆𝑔	𝑡2𝜆𝑅𝜆𝑔	NOUN
cana-3680	117	4	−	−	PROPN
cana-3680	117	5	𝜆(𝜆𝑆	𝜆(𝜆𝑆	PUNCT
cana-3680	118	1	+	+	CCONJ
cana-3680	118	2	𝜆𝑇	𝜆𝑇	NUM
cana-3680	118	3	)	)	PUNCT
cana-3680	118	4	]	]	PUNCT
cana-3680	118	5	2	2	NUM
cana-3680	118	6	,	,	PUNCT
cana-3680	118	7	𝜇	𝜇	X
cana-3680	118	8	>	>	X
cana-3680	118	9	𝛾	𝛾	PROPN
cana-3680	118	10	𝑎𝑛𝑑	𝑎𝑛𝑑	ADJ
cana-3680	118	11	𝛼	𝛼	PROPN
cana-3680	118	12	>	>	X
cana-3680	118	13	𝛽.	𝛽.	NOUN
cana-3680	118	14	(	(	PUNCT
cana-3680	118	15	3.4	3.4	NUM
cana-3680	118	16	)	)	PUNCT
cana-3680	118	17	then	then	ADV
cana-3680	118	18	,	,	PUNCT
cana-3680	118	19	the	the	DET
cana-3680	118	20	following	follow	VERB
cana-3680	118	21	statements	statement	NOUN
cana-3680	118	22	hold	hold	VERB
cana-3680	118	23	:	:	PUNCT
cana-3680	118	24	a	a	X
cana-3680	118	25	)	)	PUNCT
cana-3680	118	26	there	there	PRON
cana-3680	118	27	exists	exist	VERB
cana-3680	118	28	𝜆	𝜆	ADP
cana-3680	118	29	>	>	X
cana-3680	118	30	0	0	NUM
cana-3680	118	31	such	such	ADJ
cana-3680	118	32	as	as	ADP
cana-3680	118	33	𝜅	𝜅	X
cana-3680	118	34	=	=	NOUN
cana-3680	118	35	√1−	√1−	NOUN
cana-3680	118	36	2𝛿𝑔	2𝛿𝑔	NOUN
cana-3680	118	37	+	+	CCONJ
cana-3680	118	38	𝜆𝑔	𝜆𝑔	NOUN
cana-3680	118	39	2	2	NUM
cana-3680	119	1	+	+	NUM
cana-3680	119	2	𝑡1𝜆𝑃𝜆𝑔+𝑡2𝜆𝑅𝜆𝑔+𝜆𝜆𝑆+𝜆𝜆𝑇	𝑡1𝜆𝑃𝜆𝑔+𝑡2𝜆𝑅𝜆𝑔+𝜆𝜆𝑆+𝜆𝜆𝑇	NOUN
cana-3680	119	3	𝜇𝛼2−𝛾𝛽2	𝜇𝛼2−𝛾𝛽2	NOUN
cana-3680	119	4	<	<	X
cana-3680	119	5	1	1	NUM
cana-3680	119	6	.	.	PUNCT
cana-3680	119	7	(	(	PUNCT
cana-3680	119	8	3.5	3.5	NUM
cana-3680	119	9	)	)	PUNCT
cana-3680	119	10	b	b	NOUN
cana-3680	119	11	)	)	PUNCT
cana-3680	119	12	the	the	DET
cana-3680	119	13	operator	operator	NOUN
cana-3680	119	14	𝐹:ℋ	𝐹:ℋ	PROPN
cana-3680	119	15	→	→	SYM
cana-3680	119	16	ℋ	ℋ	NOUN
cana-3680	119	17	defined	define	VERB
cana-3680	119	18	by	by	ADP
cana-3680	119	19	𝐹(𝑤	𝐹(𝑤	PRON
cana-3680	119	20	)	)	PUNCT
cana-3680	119	21	=	=	PUNCT
cana-3680	119	22	𝑤	𝑤	PART
cana-3680	119	23	−𝑔(𝑤	−𝑔(𝑤	PROPN
cana-3680	119	24	)	)	PUNCT
cana-3680	120	1	+	+	CCONJ
cana-3680	120	2	𝐽𝜆	𝐽𝜆	ADV
cana-3680	120	3	,	,	PUNCT
cana-3680	120	4	𝑁	𝑁	PROPN
cana-3680	120	5	𝐴	𝐴	PROPN
cana-3680	120	6	(	(	PUNCT
cana-3680	120	7	…	…	PUNCT
cana-3680	120	8	.	.	PUNCT
cana-3680	120	9	)	)	PUNCT
cana-3680	121	1	[	[	X
cana-3680	121	2	𝐴(𝑃𝑜𝑔(𝑤),𝑅𝑜𝑔(𝑤	𝐴(𝑃𝑜𝑔(𝑤),𝑅𝑜𝑔(𝑤	NOUN
cana-3680	121	3	)	)	PUNCT
cana-3680	121	4	)	)	PUNCT
cana-3680	121	5	−	−	PROPN
cana-3680	121	6	𝜆(𝑆(𝑤	𝜆(𝑆(𝑤	NOUN
cana-3680	121	7	)	)	PUNCT
cana-3680	121	8	−	−	PROPN
cana-3680	121	9	𝑇(𝑤))+	𝑇(𝑤))+	INTJ
cana-3680	121	10	𝜆𝜌	𝜆𝜌	X
cana-3680	121	11	]	]	X
cana-3680	121	12	,	,	PUNCT
cana-3680	121	13	∀𝑤	∀𝑤	X
cana-3680	121	14	∈	∈	PROPN
cana-3680	121	15	𝑋	𝑋	NOUN
cana-3680	121	16	(	(	PUNCT
cana-3680	121	17	3.6	3.6	NUM
cana-3680	121	18	)	)	PUNCT
cana-3680	121	19	is	be	AUX
cana-3680	121	20	𝜅-contraction	𝜅-contraction	NOUN
cana-3680	121	21	,	,	PUNCT
cana-3680	121	22	that	that	PRON
cana-3680	121	23	is	is	ADV
cana-3680	121	24	‖𝐹(𝑤	‖𝐹(𝑤	PROPN
cana-3680	121	25	)	)	PUNCT
cana-3680	121	26	−	−	PROPN
cana-3680	122	1	𝐹(𝑦)‖	𝐹(𝑦)‖	ADJ
cana-3680	122	2	≤	≤	ADJ
cana-3680	122	3	𝜅‖𝑤−	𝜅‖𝑤−	NOUN
cana-3680	122	4	𝑦‖,∀𝑤	𝑦‖,∀𝑤	NOUN
cana-3680	122	5	,	,	PUNCT
cana-3680	122	6	𝑦	𝑦	NOUN
cana-3680	122	7	∈	∈	PROPN
cana-3680	122	8	ℋ.	ℋ.	PROPN
cana-3680	122	9	(	(	PUNCT
cana-3680	122	10	3.7	3.7	NUM
cana-3680	122	11	)	)	PUNCT
cana-3680	122	12	where	where	SCONJ
cana-3680	122	13	𝜅	𝜅	DET
cana-3680	122	14	satisfies	satisfie	NOUN
cana-3680	122	15	(	(	PUNCT
cana-3680	122	16	3.5	3.5	NUM
cana-3680	122	17	)	)	PUNCT
cana-3680	122	18	.	.	PUNCT
cana-3680	123	1	c	c	X
cana-3680	123	2	)	)	PUNCT
cana-3680	123	3	the	the	DET
cana-3680	123	4	iterative	iterative	NOUN
cana-3680	123	5	sequence	sequence	NOUN
cana-3680	123	6	{	{	PUNCT
cana-3680	123	7	𝑤𝑛	𝑤𝑛	NOUN
cana-3680	123	8	}	}	PUNCT
cana-3680	123	9	stated	state	VERB
cana-3680	123	10	as	as	ADP
cana-3680	123	11	(	(	PUNCT
cana-3680	123	12	3.1	3.1	NUM
cana-3680	123	13	)	)	PUNCT
cana-3680	123	14	converges	converge	VERB
cana-3680	123	15	strongly	strongly	ADV
cana-3680	123	16	to	to	ADP
cana-3680	123	17	a	a	DET
cana-3680	123	18	unique	unique	ADJ
cana-3680	123	19	solution	solution	NOUN
cana-3680	123	20	𝑤∗	𝑤∗	PROPN
cana-3680	123	21	∈	∈	PROPN
cana-3680	123	22	ℋ	ℋ	PROPN
cana-3680	123	23	of	of	ADP
cana-3680	123	24	(	(	PUNCT
cana-3680	123	25	2.1	2.1	NUM
cana-3680	123	26	)	)	PUNCT
cana-3680	123	27	.	.	PUNCT
cana-3680	124	1	{	{	PUNCT
cana-3680	124	2	𝑦0	𝑦0	NOUN
cana-3680	124	3	∈	∈	PROPN
cana-3680	124	4	ℋ	ℋ	PROPN
cana-3680	124	5	𝑦𝑛+1	𝑦𝑛+1	NUM
cana-3680	124	6	=	=	SYM
cana-3680	124	7	(	(	PUNCT
cana-3680	124	8	1	1	NUM
cana-3680	124	9	−	−	NUM
cana-3680	124	10	𝜉𝑛)𝑦𝑛	𝜉𝑛)𝑦𝑛	NOUN
cana-3680	124	11	+	+	CCONJ
cana-3680	124	12	𝜉𝑛[𝑦𝑛	𝜉𝑛[𝑦𝑛	ADJ
cana-3680	124	13	−𝑔(𝑦𝑛	−𝑔(𝑦𝑛	NOUN
cana-3680	124	14	)	)	PUNCT
cana-3680	125	1	+	+	CCONJ
cana-3680	125	2	𝐽𝜆	𝐽𝜆	ADV
cana-3680	125	3	,	,	PUNCT
cana-3680	125	4	𝑁	𝑁	PROPN
cana-3680	125	5	𝐴	𝐴	PROPN
cana-3680	125	6	(	(	PUNCT
cana-3680	125	7	…	…	PUNCT
cana-3680	125	8	.	.	PUNCT
cana-3680	125	9	)	)	PUNCT
cana-3680	126	1	[	[	X
cana-3680	126	2	𝐴(𝑃𝑜𝑔(𝑦𝑛),𝑅𝑜𝑔(𝑦𝑛	𝐴(𝑃𝑜𝑔(𝑦𝑛),𝑅𝑜𝑔(𝑦𝑛	PROPN
cana-3680	126	3	)	)	PUNCT
cana-3680	126	4	)	)	PUNCT
cana-3680	126	5	−𝜆(𝑆(𝑦𝑛)−	−𝜆(𝑆(𝑦𝑛)−	VERB
cana-3680	126	6	𝑇(𝑦𝑛))+	𝑇(𝑦𝑛))+	PROPN
cana-3680	126	7	𝜆𝜌	𝜆𝜌	X
cana-3680	126	8	]	]	X
cana-3680	126	9	]	]	X
cana-3680	126	10	,	,	PUNCT
cana-3680	126	11	(	(	PUNCT
cana-3680	126	12	3.8	3.8	NUM
cana-3680	126	13	)	)	PUNCT
cana-3680	126	14	converges	converge	VERB
cana-3680	126	15	strongly	strongly	ADV
cana-3680	126	16	to	to	ADP
cana-3680	126	17	𝑤∗.	𝑤∗.	NOUN
cana-3680	126	18	proof	proof	NOUN
cana-3680	126	19	.	.	PUNCT
cana-3680	127	1	using	use	VERB
cana-3680	127	2	algorithm	algorithm	NOUN
cana-3680	127	3	3.1	3.1	NUM
cana-3680	127	4	and	and	CCONJ
cana-3680	127	5	the	the	DET
cana-3680	127	6	lipschitz	lipschitz	ADJ
cana-3680	127	7	continuity	continuity	NOUN
cana-3680	127	8	of	of	ADP
cana-3680	127	9	the	the	DET
cana-3680	127	10	resolvent	resolvent	ADJ
cana-3680	127	11	operator	operator	NOUN
cana-3680	127	12	,	,	PUNCT
cana-3680	127	13	we	we	PRON
cana-3680	127	14	have	have	VERB
cana-3680	127	15	communications	communication	NOUN
cana-3680	127	16	on	on	ADP
cana-3680	127	17	applied	apply	VERB
cana-3680	127	18	nonlinear	nonlinear	ADJ
cana-3680	127	19	analysis	analysis	NOUN
cana-3680	127	20	issn	issn	NOUN
cana-3680	127	21	:	:	PUNCT
cana-3680	127	22	1074	1074	NUM
cana-3680	127	23	-	-	PUNCT
cana-3680	127	24	133x	133x	NUM
cana-3680	127	25	vol	vol	NOUN
cana-3680	127	26	32	32	NUM
cana-3680	127	27	no	no	NOUN
cana-3680	127	28	.	.	PUNCT
cana-3680	128	1	8s	8s	PROPN
cana-3680	128	2	(	(	PUNCT
cana-3680	128	3	2025	2025	NUM
cana-3680	128	4	)	)	PUNCT
cana-3680	128	5	349	349	NUM
cana-3680	128	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3680	128	7	‖wn+1	‖wn+1	PUNCT
cana-3680	128	8	−	−	PROPN
cana-3680	129	1	wn	wn	PROPN
cana-3680	129	2	‖=	‖=	PROPN
cana-3680	129	3	‖(1	‖(1	NUM
cana-3680	129	4	−	−	NUM
cana-3680	129	5	αn	αn	NOUN
cana-3680	129	6	)	)	PUNCT
cana-3680	129	7	wn	wn	PROPN
cana-3680	129	8	+	+	CCONJ
cana-3680	129	9	αn[wn	αn[wn	ADJ
cana-3680	129	10	−	−	NOUN
cana-3680	129	11	g(wn	g(wn	NOUN
cana-3680	129	12	)	)	PUNCT
cana-3680	130	1	+	+	CCONJ
cana-3680	130	2	j	j	PROPN
cana-3680	130	3	λ	λ	PROPN
cana-3680	130	4	,	,	PUNCT
cana-3680	130	5	n	n	PRON
cana-3680	130	6	a	a	PRON
cana-3680	130	7	(	(	PUNCT
cana-3680	130	8	…	…	PUNCT
cana-3680	130	9	.	.	PUNCT
cana-3680	130	10	)	)	PUNCT
cana-3680	131	1	[	[	X
cana-3680	131	2	a(pog(wn	a(pog(wn	X
cana-3680	131	3	)	)	PUNCT
cana-3680	131	4	,	,	PUNCT
cana-3680	131	5	rog(wn	rog(wn	NUM
cana-3680	131	6	)	)	PUNCT
cana-3680	131	7	)	)	PUNCT
cana-3680	132	1	−	−	PROPN
cana-3680	133	1	λ(s(wn	λ(s(wn	X
cana-3680	133	2	)	)	PUNCT
cana-3680	133	3	−t(wn	−t(wn	NUM
cana-3680	133	4	)	)	PUNCT
cana-3680	133	5	)	)	PUNCT
cana-3680	134	1	+	+	PUNCT
cana-3680	134	2	λρ	λρ	ADV
cana-3680	134	3	]	]	X
cana-3680	134	4	]	]	X
cana-3680	134	5	−	−	PROPN
cana-3680	135	1	[	[	X
cana-3680	135	2	(	(	PUNCT
cana-3680	135	3	1−	1−	NUM
cana-3680	135	4	αn	αn	NOUN
cana-3680	135	5	)	)	PUNCT
cana-3680	135	6	wn−1	wn−1	PROPN
cana-3680	136	1	+	+	CCONJ
cana-3680	136	2	αn	αn	NOUN
cana-3680	137	1	[	[	X
cana-3680	137	2	wn−1	wn−1	ADJ
cana-3680	137	3	−	−	PROPN
cana-3680	137	4	g(wn−1	g(wn−1	PUNCT
cana-3680	137	5	)	)	PUNCT
cana-3680	138	1	+	+	ADP
cana-3680	138	2	j	j	PROPN
cana-3680	138	3	λ	λ	PROPN
cana-3680	138	4	,	,	PUNCT
cana-3680	138	5	n	n	PRON
cana-3680	138	6	a	a	PRON
cana-3680	138	7	(	(	PUNCT
cana-3680	138	8	…	…	PUNCT
cana-3680	138	9	.	.	PUNCT
cana-3680	138	10	)	)	PUNCT
cana-3680	139	1	[	[	X
cana-3680	139	2	a(pog(wn−1	a(pog(wn−1	ADV
cana-3680	139	3	)	)	PUNCT
cana-3680	139	4	,	,	PUNCT
cana-3680	139	5	rog(wn−1	rog(wn−1	PROPN
cana-3680	139	6	)	)	PUNCT
cana-3680	139	7	)	)	PUNCT
cana-3680	139	8	−	−	PROPN
cana-3680	139	9	λ(s(wn−1	λ(s(wn−1	PROPN
cana-3680	139	10	)	)	PUNCT
cana-3680	139	11	−	−	PROPN
cana-3680	139	12	t(wn−1	t(wn−1	NUM
cana-3680	139	13	)	)	PUNCT
cana-3680	139	14	)	)	PUNCT
cana-3680	140	1	+	+	CCONJ
cana-3680	140	2	λρ	λρ	ADV
cana-3680	140	3	]	]	X
cana-3680	140	4	]	]	X
cana-3680	140	5	‖	‖	PROPN
cana-3680	140	6	≤	≤	NOUN
cana-3680	140	7	(	(	PUNCT
cana-3680	140	8	1	1	NUM
cana-3680	140	9	−	−	NUM
cana-3680	140	10	αn	αn	NOUN
cana-3680	140	11	)	)	PUNCT
cana-3680	140	12	‖wn−	‖wn−	PROPN
cana-3680	140	13	wn−1	wn−1	ADJ
cana-3680	140	14	‖+	‖+	PUNCT
cana-3680	140	15	αn‖wn	αn‖wn	ADV
cana-3680	140	16	−wn−1	−wn−1	X
cana-3680	140	17	−	−	PROPN
cana-3680	140	18	(	(	PUNCT
cana-3680	140	19	g(wn	g(wn	X
cana-3680	140	20	)	)	PUNCT
cana-3680	140	21	−	−	PROPN
cana-3680	140	22	g(wn−1	g(wn−1	PUNCT
cana-3680	140	23	)	)	PUNCT
cana-3680	140	24	)	)	PUNCT
cana-3680	141	1	‖	‖	PROPN
cana-3680	142	1	+	+	SYM
cana-3680	142	2	αn‖j	αn‖j	PROPN
cana-3680	142	3	λ	λ	PROPN
cana-3680	142	4	,	,	PUNCT
cana-3680	142	5	n	n	PROPN
cana-3680	142	6	a	a	PRON
cana-3680	142	7	(	(	PUNCT
cana-3680	142	8	…	…	PUNCT
cana-3680	142	9	.	.	PUNCT
cana-3680	142	10	)	)	PUNCT
cana-3680	143	1	[	[	X
cana-3680	143	2	a(pog(wn	a(pog(wn	X
cana-3680	143	3	)	)	PUNCT
cana-3680	143	4	,	,	PUNCT
cana-3680	143	5	rog(wn	rog(wn	NUM
cana-3680	143	6	)	)	PUNCT
cana-3680	143	7	)	)	PUNCT
cana-3680	144	1	−	−	PROPN
cana-3680	145	1	λ(s(wn	λ(s(wn	X
cana-3680	145	2	)	)	PUNCT
cana-3680	145	3	−	−	PROPN
cana-3680	145	4	t(wn	t(wn	NUM
cana-3680	145	5	)	)	PUNCT
cana-3680	145	6	)	)	PUNCT
cana-3680	146	1	+	+	CCONJ
cana-3680	146	2	λρ	λρ	ADV
cana-3680	146	3	]	]	X
cana-3680	146	4	]	]	X
cana-3680	146	5	−j	−j	PROPN
cana-3680	146	6	λ	λ	PROPN
cana-3680	146	7	,	,	PUNCT
cana-3680	146	8	n	n	PRON
cana-3680	146	9	a	a	PRON
cana-3680	146	10	(	(	PUNCT
cana-3680	146	11	…	…	PUNCT
cana-3680	146	12	.	.	PUNCT
cana-3680	146	13	)	)	PUNCT
cana-3680	147	1	[	[	X
cana-3680	147	2	a(pog(wn−1	a(pog(wn−1	ADV
cana-3680	147	3	)	)	PUNCT
cana-3680	147	4	,	,	PUNCT
cana-3680	147	5	rog(wn−1	rog(wn−1	PROPN
cana-3680	147	6	)	)	PUNCT
cana-3680	147	7	)	)	PUNCT
cana-3680	148	1	−	−	PROPN
cana-3680	148	2	λ(s(wn−1	λ(s(wn−1	PROPN
cana-3680	148	3	)	)	PUNCT
cana-3680	148	4	−	−	PROPN
cana-3680	148	5	t(wn−1	t(wn−1	NUM
cana-3680	148	6	)	)	PUNCT
cana-3680	148	7	)	)	PUNCT
cana-3680	149	1	+	+	CCONJ
cana-3680	149	2	λρ	λρ	ADV
cana-3680	149	3	]	]	X
cana-3680	149	4	]	]	X
cana-3680	149	5	‖	‖	PROPN
cana-3680	149	6	≤	≤	NOUN
cana-3680	149	7	(	(	PUNCT
cana-3680	149	8	1	1	NUM
cana-3680	149	9	−	−	NUM
cana-3680	149	10	αn	αn	NOUN
cana-3680	149	11	)	)	PUNCT
cana-3680	149	12	‖wn−	‖wn−	PROPN
cana-3680	149	13	wn−1	wn−1	ADJ
cana-3680	149	14	‖+	‖+	PUNCT
cana-3680	149	15	αn‖wn	αn‖wn	ADV
cana-3680	149	16	−wn−1	−wn−1	X
cana-3680	149	17	−	−	PROPN
cana-3680	149	18	(	(	PUNCT
cana-3680	149	19	g(wn	g(wn	X
cana-3680	149	20	)	)	PUNCT
cana-3680	149	21	−	−	PROPN
cana-3680	149	22	g(wn−1	g(wn−1	PUNCT
cana-3680	149	23	)	)	PUNCT
cana-3680	149	24	)	)	PUNCT
cana-3680	150	1	‖	‖	PROPN
cana-3680	151	1	+	+	CCONJ
cana-3680	151	2	αn	αn	NOUN
cana-3680	151	3	μα	μα	PROPN
cana-3680	151	4	2−γβ	2−γβ	NUM
cana-3680	151	5	2	2	NUM
cana-3680	151	6	‖a(pog(wn	‖a(pog(wn	NUM
cana-3680	151	7	)	)	PUNCT
cana-3680	151	8	,	,	PUNCT
cana-3680	151	9	rog(wn	rog(wn	NUM
cana-3680	151	10	)	)	PUNCT
cana-3680	151	11	)	)	PUNCT
cana-3680	151	12	−	−	PROPN
cana-3680	152	1	λ(s(wn	λ(s(wn	X
cana-3680	152	2	)	)	PUNCT
cana-3680	152	3	−	−	PROPN
cana-3680	152	4	t(wn	t(wn	NUM
cana-3680	152	5	)	)	PUNCT
cana-3680	152	6	)	)	PUNCT
cana-3680	152	7	−a(pog(wn−1	−a(pog(wn−1	PROPN
cana-3680	152	8	)	)	PUNCT
cana-3680	152	9	,	,	PUNCT
cana-3680	152	10	rog(wn−1	rog(wn−1	PROPN
cana-3680	152	11	)	)	PUNCT
cana-3680	152	12	)	)	PUNCT
cana-3680	153	1	−	−	PROPN
cana-3680	153	2	λ(s(wn−1	λ(s(wn−1	PROPN
cana-3680	153	3	)	)	PUNCT
cana-3680	153	4	−	−	PROPN
cana-3680	153	5	t(wn−1	t(wn−1	NUM
cana-3680	153	6	)	)	PUNCT
cana-3680	153	7	)	)	PUNCT
cana-3680	154	1	‖	‖	PROPN
cana-3680	154	2	(	(	PUNCT
cana-3680	154	3	3.9	3.9	NUM
cana-3680	154	4	)	)	PUNCT
cana-3680	154	5	since	since	SCONJ
cana-3680	154	6	𝑔	𝑔	PROPN
cana-3680	154	7	is	be	AUX
cana-3680	154	8	strongly	strongly	ADV
cana-3680	154	9	mt	mt	PROPN
cana-3680	154	10	with	with	ADP
cana-3680	154	11	𝛿𝑔	𝛿𝑔	NOUN
cana-3680	154	12	and	and	CCONJ
cana-3680	154	13	lipschitz	lipschitz	VERB
cana-3680	154	14	continuous	continuous	ADJ
cana-3680	154	15	with	with	ADP
cana-3680	154	16	𝜆𝑔	𝜆𝑔	NOUN
cana-3680	154	17	,	,	PUNCT
cana-3680	154	18	we	we	PRON
cana-3680	154	19	have	have	VERB
cana-3680	154	20	∥	∥	NUM
cana-3680	154	21	𝑤𝑛	𝑤𝑛	ADP
cana-3680	154	22	−	−	PROPN
cana-3680	154	23	𝑤𝑛−1	𝑤𝑛−1	NOUN
cana-3680	154	24	−	−	PROPN
cana-3680	154	25	(	(	PUNCT
cana-3680	154	26	𝑔(𝑤𝑛	𝑔(𝑤𝑛	PROPN
cana-3680	154	27	)	)	PUNCT
cana-3680	154	28	−	−	NOUN
cana-3680	154	29	𝑔(𝑤𝑛−1	𝑔(𝑤𝑛−1	NOUN
cana-3680	154	30	)	)	PUNCT
cana-3680	154	31	)	)	PUNCT
cana-3680	155	1	∥	∥	X
cana-3680	156	1	2≤∥	2≤∥	PROPN
cana-3680	156	2	𝑤𝑛	𝑤𝑛	ADP
cana-3680	156	3	−𝑤𝑛−1	−𝑤𝑛−1	ADP
cana-3680	156	4	∥	∥	PROPN
cana-3680	156	5	2−	2−	NUM
cana-3680	156	6	2⟨𝑔(𝑤𝑛	2⟨𝑔(𝑤𝑛	NUM
cana-3680	156	7	)	)	PUNCT
cana-3680	156	8	−	−	PROPN
cana-3680	157	1	𝑔(𝑤𝑛−1),𝑤𝑛	𝑔(𝑤𝑛−1),𝑤𝑛	PROPN
cana-3680	157	2	−𝑤𝑛−1	−𝑤𝑛−1	ADP
cana-3680	157	3	+	+	ADJ
cana-3680	157	4	∥	∥	PROPN
cana-3680	157	5	𝑔(𝑤𝑛	𝑔(𝑤𝑛	NOUN
cana-3680	157	6	)	)	PUNCT
cana-3680	157	7	−	−	NOUN
cana-3680	157	8	𝑔(𝑤𝑛−1	𝑔(𝑤𝑛−1	NOUN
cana-3680	157	9	)	)	PUNCT
cana-3680	157	10	∥	∥	NUM
cana-3680	157	11	2	2	NUM
cana-3680	157	12	≤	≤	NOUN
cana-3680	157	13	(	(	PUNCT
cana-3680	157	14	1	1	NUM
cana-3680	157	15	−	−	NOUN
cana-3680	157	16	2𝛿𝑔	2𝛿𝑔	NOUN
cana-3680	158	1	+	+	CCONJ
cana-3680	158	2	𝜆𝑔	𝜆𝑔	NOUN
cana-3680	158	3	2	2	NUM
cana-3680	158	4	)	)	PUNCT
cana-3680	158	5	∥	∥	NOUN
cana-3680	158	6	𝑤𝑛	𝑤𝑛	ADP
cana-3680	158	7	−	−	PROPN
cana-3680	158	8	𝑤𝑛−1	𝑤𝑛−1	PROPN
cana-3680	158	9	∥	∥	X
cana-3680	158	10	2	2	NUM
cana-3680	158	11	which	which	PRON
cana-3680	158	12	implies	imply	VERB
cana-3680	158	13	that	that	SCONJ
cana-3680	158	14	∥	∥	PROPN
cana-3680	158	15	wn	wn	NOUN
cana-3680	158	16	−	−	PROPN
cana-3680	158	17	wn−1	wn−1	PROPN
cana-3680	158	18	−	−	PROPN
cana-3680	158	19	(	(	PUNCT
cana-3680	158	20	g(wn	g(wn	X
cana-3680	158	21	)	)	PUNCT
cana-3680	158	22	−	−	PROPN
cana-3680	158	23	g(wn−1	g(wn−1	PUNCT
cana-3680	158	24	)	)	PUNCT
cana-3680	158	25	)	)	PUNCT
cana-3680	158	26	∥≤	∥≤	VERB
cana-3680	158	27	√1−	√1−	ADJ
cana-3680	158	28	2δg	2δg	NOUN
cana-3680	159	1	+	+	CCONJ
cana-3680	159	2	λg	λg	X
cana-3680	159	3	2	2	NUM
cana-3680	159	4	∥	∥	PUNCT
cana-3680	159	5	wn	wn	X
cana-3680	159	6	−wn−1	−wn−1	X
cana-3680	159	7	∥.	∥.	X
cana-3680	159	8	(	(	PUNCT
cana-3680	159	9	3.10	3.10	NUM
cana-3680	159	10	)	)	PUNCT
cana-3680	159	11	since	since	SCONJ
cana-3680	159	12	𝐴	𝐴	PROPN
cana-3680	159	13	(	(	PUNCT
cana-3680	159	14	.	.	PUNCT
cana-3680	159	15	,	,	PUNCT
cana-3680	159	16	.	.	PUNCT
cana-3680	159	17	)	)	PUNCT
cana-3680	159	18	is	be	AUX
cana-3680	159	19	lipschitz	lipschitz	VERB
cana-3680	159	20	continuous	continuous	ADJ
cana-3680	159	21	𝑃	𝑃	NOUN
cana-3680	159	22	and	and	CCONJ
cana-3680	159	23	𝑅	𝑅	NOUN
cana-3680	159	24	,	,	PUNCT
cana-3680	159	25	and	and	CCONJ
cana-3680	159	26	lipschitz	lipschitz	VERB
cana-3680	159	27	continuous	continuous	ADJ
cana-3680	159	28	of	of	ADP
cana-3680	159	29	𝑃	𝑃	NOUN
cana-3680	159	30	and	and	CCONJ
cana-3680	159	31	𝑔	𝑔	NOUN
cana-3680	159	32	,	,	PUNCT
cana-3680	159	33	we	we	PRON
cana-3680	159	34	have	have	VERB
cana-3680	159	35	‖𝐴(𝑃𝑜𝑔(𝑤𝑛),𝑅𝑜𝑔(𝑤𝑛))−	‖𝐴(𝑃𝑜𝑔(𝑤𝑛),𝑅𝑜𝑔(𝑤𝑛))−	ADP
cana-3680	159	36	𝜆(𝑆(𝑤𝑛)−	𝜆(𝑆(𝑤𝑛)−	PROPN
cana-3680	159	37	𝑇(𝑤𝑛))−	𝑇(𝑤𝑛))−	NOUN
cana-3680	159	38	(	(	PUNCT
cana-3680	159	39	𝐴(𝑃𝑜𝑔(𝑤𝑛−1),𝑅𝑜𝑔(𝑤𝑛−1	𝐴(𝑃𝑜𝑔(𝑤𝑛−1),𝑅𝑜𝑔(𝑤𝑛−1	NOUN
cana-3680	159	40	)	)	PUNCT
cana-3680	159	41	)	)	PUNCT
cana-3680	160	1	−𝜆(𝑆(𝑤𝑛−1	−𝜆(𝑆(𝑤𝑛−1	NOUN
cana-3680	160	2	)	)	PUNCT
cana-3680	160	3	−	−	PROPN
cana-3680	161	1	𝑇(𝑤𝑛−1))‖	𝑇(𝑤𝑛−1))‖	NOUN
cana-3680	161	2	=	=	SYM
cana-3680	161	3	‖𝐴(𝑃𝑜𝑔(𝑤𝑛),𝑅𝑜𝑔(𝑤𝑛))−	‖𝐴(𝑃𝑜𝑔(𝑤𝑛),𝑅𝑜𝑔(𝑤𝑛))−	PROPN
cana-3680	161	4	𝐴(𝑃𝑜𝑔(𝑤𝑛−1),𝑅𝑜𝑔(𝑤𝑛−1))−	𝐴(𝑃𝑜𝑔(𝑤𝑛−1),𝑅𝑜𝑔(𝑤𝑛−1))−	PROPN
cana-3680	161	5	𝜆(𝑆(𝑤𝑛	𝜆(𝑆(𝑤𝑛	PROPN
cana-3680	161	6	)	)	PUNCT
cana-3680	162	1	−	−	ADP
cana-3680	162	2	𝑆(𝑤𝑛−1	𝑆(𝑤𝑛−1	NOUN
cana-3680	162	3	)	)	PUNCT
cana-3680	162	4	)	)	PUNCT
cana-3680	163	1	−	−	PROPN
cana-3680	163	2	𝜆(𝑇(𝑤𝑛	𝜆(𝑇(𝑤𝑛	PROPN
cana-3680	163	3	)	)	PUNCT
cana-3680	163	4	−	−	PROPN
cana-3680	164	1	𝑇(𝑤𝑛−1))‖	𝑇(𝑤𝑛−1))‖	NOUN
cana-3680	164	2	≤	≤	PUNCT
cana-3680	164	3	‖𝐴(𝑃𝑜𝑔(𝑤𝑛),𝑅𝑜𝑔(𝑤𝑛))−	‖𝐴(𝑃𝑜𝑔(𝑤𝑛),𝑅𝑜𝑔(𝑤𝑛))−	PUNCT
cana-3680	165	1	𝐴(𝑃𝑜𝑔(𝑤𝑛−1),𝑅𝑜𝑔(𝑤𝑛−1))‖+	𝐴(𝑃𝑜𝑔(𝑤𝑛−1),𝑅𝑜𝑔(𝑤𝑛−1))‖+	PROPN
cana-3680	165	2	𝜆‖𝑆(𝑤𝑛	𝜆‖𝑆(𝑤𝑛	NOUN
cana-3680	165	3	)	)	PUNCT
cana-3680	166	1	−	−	ADP
cana-3680	166	2	𝑆(𝑤𝑛−1)‖	𝑆(𝑤𝑛−1)‖	NOUN
cana-3680	167	1	+	+	PUNCT
cana-3680	167	2	𝜆‖𝑇(𝑤𝑛)−	𝜆‖𝑇(𝑤𝑛)−	ADJ
cana-3680	167	3	𝑇(𝑤𝑛−1)‖	𝑇(𝑤𝑛−1)‖	NOUN
cana-3680	167	4	≤	≤	NUM
cana-3680	167	5	‖𝐴(𝑃𝑜𝑔(𝑤𝑛),𝑅𝑜𝑔(𝑤𝑛))−	‖𝐴(𝑃𝑜𝑔(𝑤𝑛),𝑅𝑜𝑔(𝑤𝑛))−	PROPN
cana-3680	167	6	𝐴(𝑃𝑜𝑔(𝑤𝑛−1),𝑅𝑜𝑔(𝑤𝑛))+	𝐴(𝑃𝑜𝑔(𝑤𝑛−1),𝑅𝑜𝑔(𝑤𝑛))+	VERB
cana-3680	167	7	𝐴(𝑃𝑜𝑔(𝑤𝑛−1),𝑅𝑜𝑔(𝑤𝑛	𝐴(𝑃𝑜𝑔(𝑤𝑛−1),𝑅𝑜𝑔(𝑤𝑛	NUM
cana-3680	167	8	)	)	PUNCT
cana-3680	167	9	)	)	PUNCT
cana-3680	167	10	−𝐴(𝑃𝑜𝑔(𝑤𝑛−1),𝑅𝑜𝑔(𝑤𝑛−1))‖+	−𝐴(𝑃𝑜𝑔(𝑤𝑛−1),𝑅𝑜𝑔(𝑤𝑛−1))‖+	NUM
cana-3680	167	11	𝜆‖𝑆(𝑤𝑛)−	𝜆‖𝑆(𝑤𝑛)−	PROPN
cana-3680	167	12	𝑆(𝑤𝑛−1)‖+	𝑆(𝑤𝑛−1)‖+	PROPN
cana-3680	167	13	𝜆‖𝑇(𝑤𝑛	𝜆‖𝑇(𝑤𝑛	NOUN
cana-3680	167	14	)	)	PUNCT
cana-3680	167	15	−	−	NOUN
cana-3680	167	16	𝑇(𝑤𝑛−1)‖	𝑇(𝑤𝑛−1)‖	NOUN
cana-3680	167	17	≤	≤	NOUN
cana-3680	167	18	‖𝐴(𝑃𝑜𝑔(𝑤𝑛),𝑅𝑜𝑔(𝑤𝑛))−	‖𝐴(𝑃𝑜𝑔(𝑤𝑛),𝑅𝑜𝑔(𝑤𝑛))−	PUNCT
cana-3680	167	19	𝐴(𝑃𝑜𝑔(𝑤𝑛−1),𝑅𝑜𝑔(𝑤𝑛))‖+	𝐴(𝑃𝑜𝑔(𝑤𝑛−1),𝑅𝑜𝑔(𝑤𝑛))‖+	PROPN
cana-3680	167	20	‖𝐴(𝑃𝑜𝑔(𝑤𝑛−1),𝑅𝑜𝑔(𝑤𝑛	‖𝐴(𝑃𝑜𝑔(𝑤𝑛−1),𝑅𝑜𝑔(𝑤𝑛	NUM
cana-3680	167	21	)	)	PUNCT
cana-3680	167	22	)	)	PUNCT
cana-3680	167	23	−𝐴(𝑃𝑜𝑔(𝑤𝑛−1),𝑅𝑜𝑔(𝑤𝑛−1))‖+	−𝐴(𝑃𝑜𝑔(𝑤𝑛−1),𝑅𝑜𝑔(𝑤𝑛−1))‖+	NUM
cana-3680	167	24	𝜆‖𝑆(𝑤𝑛	𝜆‖𝑆(𝑤𝑛	NOUN
cana-3680	167	25	)	)	PUNCT
cana-3680	167	26	−	−	PROPN
cana-3680	167	27	𝑆(𝑤𝑛−1)‖+	𝑆(𝑤𝑛−1)‖+	PROPN
cana-3680	167	28	𝜆‖𝑇(𝑤𝑛	𝜆‖𝑇(𝑤𝑛	NOUN
cana-3680	167	29	)	)	PUNCT
cana-3680	167	30	−	−	NOUN
cana-3680	167	31	𝑇(𝑤𝑛−1)‖	𝑇(𝑤𝑛−1)‖	PUNCT
cana-3680	168	1	≤	≤	ADV
cana-3680	168	2	𝑡1𝜆𝑃𝜆𝑔‖𝑤𝑛−	𝑡1𝜆𝑃𝜆𝑔‖𝑤𝑛−	PROPN
cana-3680	168	3	𝑤𝑛−1‖+	𝑤𝑛−1‖+	NOUN
cana-3680	168	4	𝑡2𝜆𝑅𝜆𝑔‖𝑤𝑛	𝑡2𝜆𝑅𝜆𝑔‖𝑤𝑛	ADP
cana-3680	168	5	−𝑤𝑛−1‖+	−𝑤𝑛−1‖+	PROPN
cana-3680	169	1	𝜆𝜆𝑆‖𝑤𝑛	𝜆𝜆𝑆‖𝑤𝑛	PROPN
cana-3680	169	2	−	−	PROPN
cana-3680	169	3	𝑤𝑛−1‖+	𝑤𝑛−1‖+	NOUN
cana-3680	169	4	𝜆𝜆𝑇‖𝑤𝑛	𝜆𝜆𝑇‖𝑤𝑛	PROPN
cana-3680	169	5	−𝑤𝑛−1‖	−𝑤𝑛−1‖	PROPN
cana-3680	169	6	communications	communication	NOUN
cana-3680	169	7	on	on	ADP
cana-3680	169	8	applied	apply	VERB
cana-3680	169	9	nonlinear	nonlinear	ADJ
cana-3680	169	10	analysis	analysis	NOUN
cana-3680	169	11	issn	issn	NOUN
cana-3680	169	12	:	:	PUNCT
cana-3680	169	13	1074	1074	NUM
cana-3680	169	14	-	-	PUNCT
cana-3680	169	15	133x	133x	NUM
cana-3680	169	16	vol	vol	NOUN
cana-3680	169	17	32	32	NUM
cana-3680	169	18	no	no	NOUN
cana-3680	169	19	.	.	PUNCT
cana-3680	170	1	8s	8s	PROPN
cana-3680	170	2	(	(	PUNCT
cana-3680	170	3	2025	2025	NUM
cana-3680	170	4	)	)	PUNCT
cana-3680	170	5	350	350	NUM
cana-3680	170	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3680	170	7	≤	≤	NUM
cana-3680	170	8	(	(	PUNCT
cana-3680	170	9	𝑡1𝜆𝑃𝜆𝑔	𝑡1𝜆𝑃𝜆𝑔	PROPN
cana-3680	170	10	+	+	NUM
cana-3680	170	11	𝑡2𝜆𝑅𝜆𝑔	𝑡2𝜆𝑅𝜆𝑔	NOUN
cana-3680	171	1	+	+	CCONJ
cana-3680	171	2	𝜆𝜆𝑆+	𝜆𝜆𝑆+	PROPN
cana-3680	171	3	𝜆𝜆𝑇)‖𝑤𝑛	𝜆𝜆𝑇)‖𝑤𝑛	X
cana-3680	171	4	−𝑤𝑛−1‖	−𝑤𝑛−1‖	PROPN
cana-3680	171	5	(	(	PUNCT
cana-3680	171	6	3.11	3.11	NUM
cana-3680	171	7	)	)	PUNCT
cana-3680	171	8	on	on	ADP
cana-3680	171	9	using	use	VERB
cana-3680	171	10	equations	equation	NOUN
cana-3680	171	11	(	(	PUNCT
cana-3680	171	12	3.10	3.10	NUM
cana-3680	171	13	)	)	PUNCT
cana-3680	171	14	and	and	CCONJ
cana-3680	171	15	(	(	PUNCT
cana-3680	171	16	3.11	3.11	NUM
cana-3680	171	17	)	)	PUNCT
cana-3680	171	18	,	,	PUNCT
cana-3680	171	19	equation	equation	NOUN
cana-3680	171	20	(	(	PUNCT
cana-3680	171	21	3.9	3.9	NUM
cana-3680	171	22	)	)	PUNCT
cana-3680	171	23	becomes	become	VERB
cana-3680	171	24	∥	∥	PROPN
cana-3680	171	25	wn+1	wn+1	AUX
cana-3680	171	26	−	−	PROPN
cana-3680	171	27	wn	wn	PROPN
cana-3680	171	28	∥≤	∥≤	PROPN
cana-3680	171	29	(	(	PUNCT
cana-3680	171	30	1−	1−	NUM
cana-3680	171	31	αn	αn	NOUN
cana-3680	171	32	)	)	PUNCT
cana-3680	171	33	∥	∥	NUM
cana-3680	171	34	wn	wn	NOUN
cana-3680	171	35	−wn−1	−wn−1	X
cana-3680	171	36	∥	∥	PUNCT
cana-3680	171	37	+	+	NOUN
cana-3680	171	38	αn√1	αn√1	NOUN
cana-3680	171	39	−	−	NOUN
cana-3680	171	40	2δg	2δg	NOUN
cana-3680	172	1	+	+	CCONJ
cana-3680	172	2	λg	λg	X
cana-3680	172	3	2	2	NUM
cana-3680	172	4	∥	∥	PUNCT
cana-3680	172	5	wn	wn	X
cana-3680	172	6	−wn−1	−wn−1	X
cana-3680	172	7	∥	∥	PROPN
cana-3680	173	1	+	+	NUM
cana-3680	173	2	αn	αn	NOUN
cana-3680	173	3	μα2	μα2	NOUN
cana-3680	173	4	−	−	NOUN
cana-3680	173	5	γβ2	γβ2	VERB
cana-3680	173	6	√1−	√1−	NOUN
cana-3680	173	7	2λ(δs+	2λ(δs+	NUM
cana-3680	173	8	δt)+	δt)+	NOUN
cana-3680	173	9	λλs	λλs	ADP
cana-3680	173	10	2	2	NUM
cana-3680	173	11	+	+	NUM
cana-3680	173	12	λλt	λλt	NOUN
cana-3680	173	13	2	2	NUM
cana-3680	173	14	∥	∥	PUNCT
cana-3680	173	15	wn	wn	NOUN
cana-3680	173	16	−	−	PROPN
cana-3680	173	17	wn−1	wn−1	PROPN
cana-3680	173	18	∥	∥	PUNCT
cana-3680	173	19	≤	≤	PUNCT
cana-3680	174	1	[	[	X
cana-3680	174	2	1	1	NUM
cana-3680	174	3	−	−	NUM
cana-3680	174	4	αn	αn	NOUN
cana-3680	175	1	+	+	CCONJ
cana-3680	175	2	αnκ	αnκ	NOUN
cana-3680	175	3	]	]	PUNCT
cana-3680	175	4	∥	∥	NUM
cana-3680	175	5	wn	wn	NOUN
cana-3680	176	1	−	−	PROPN
cana-3680	176	2	wn−1	wn−1	PROPN
cana-3680	176	3	∥	∥	PUNCT
cana-3680	176	4	=	=	PUNCT
cana-3680	177	1	[	[	X
cana-3680	177	2	1	1	NUM
cana-3680	177	3	−	−	PROPN
cana-3680	177	4	αn(1−	αn(1−	PROPN
cana-3680	177	5	κ	κ	NOUN
cana-3680	177	6	)	)	PUNCT
cana-3680	177	7	∥	∥	NUM
cana-3680	177	8	wn	wn	PROPN
cana-3680	177	9	−wn−1	−wn−1	X
cana-3680	177	10	∥	∥	PROPN
cana-3680	177	11	,	,	PUNCT
cana-3680	177	12	(	(	PUNCT
cana-3680	177	13	3.12	3.12	NUM
cana-3680	177	14	)	)	PUNCT
cana-3680	177	15	where	where	SCONJ
cana-3680	177	16	κ	κ	NOUN
cana-3680	177	17	=	=	PUNCT
cana-3680	177	18	√1	√1	PROPN
cana-3680	177	19	−	−	PROPN
cana-3680	177	20	2δg	2δg	NOUN
cana-3680	177	21	+	+	CCONJ
cana-3680	177	22	λg	λg	NOUN
cana-3680	177	23	2	2	NUM
cana-3680	177	24	+	+	CCONJ
cana-3680	177	25	t1λpλg	t1λpλg	NOUN
cana-3680	177	26	+	+	CCONJ
cana-3680	177	27	t2λrλg	t2λrλg	ADP
cana-3680	177	28	+	+	NOUN
cana-3680	177	29	λλs	λλs	ADV
cana-3680	177	30	+	+	NUM
cana-3680	177	31	λλt	λλt	NOUN
cana-3680	177	32	μα2	μα2	NOUN
cana-3680	177	33	−	−	NOUN
cana-3680	177	34	γβ2	γβ2	VERB
cana-3680	177	35	.	.	PUNCT
cana-3680	178	1	by	by	ADP
cana-3680	178	2	condition	condition	NOUN
cana-3680	178	3	(	(	PUNCT
cana-3680	178	4	3.4	3.4	NUM
cana-3680	178	5	)	)	PUNCT
cana-3680	178	6	,	,	PUNCT
cana-3680	178	7	we	we	PRON
cana-3680	178	8	have	have	VERB
cana-3680	178	9	0	0	NUM
cana-3680	178	10	≤	≤	NOUN
cana-3680	178	11	𝜅	𝜅	PRON
cana-3680	178	12	<	<	X
cana-3680	178	13	1	1	NUM
cana-3680	178	14	,	,	PUNCT
cana-3680	178	15	thus	thus	ADV
cana-3680	178	16	the	the	DET
cana-3680	178	17	sequence	sequence	NOUN
cana-3680	178	18	{	{	PUNCT
cana-3680	178	19	𝑤𝑛	𝑤𝑛	PROPN
cana-3680	178	20	}	}	PUNCT
cana-3680	178	21	is	be	AUX
cana-3680	178	22	a	a	DET
cana-3680	178	23	cauchy	cauchy	ADJ
cana-3680	178	24	sequence	sequence	NOUN
cana-3680	178	25	in	in	ADP
cana-3680	178	26	ℋ	ℋ	PROPN
cana-3680	178	27	and	and	CCONJ
cana-3680	178	28	as	as	SCONJ
cana-3680	178	29	ℋ	ℋ	PROPN
cana-3680	178	30	is	be	AUX
cana-3680	178	31	complete	complete	ADJ
cana-3680	178	32	,	,	PUNCT
cana-3680	178	33	there	there	PRON
cana-3680	178	34	exists	exist	VERB
cana-3680	178	35	𝑤∗	𝑤∗	PROPN
cana-3680	178	36	∈	∈	PROPN
cana-3680	178	37	ℋ	ℋ	PROPN
cana-3680	178	38	such	such	ADJ
cana-3680	178	39	as	as	ADP
cana-3680	178	40	𝑤𝑛	𝑤𝑛	NOUN
cana-3680	178	41	→	→	SYM
cana-3680	178	42	𝑤∗	𝑤∗	NOUN
cana-3680	178	43	,	,	PUNCT
cana-3680	178	44	as	as	ADP
cana-3680	178	45	𝑛	𝑛	PROPN
cana-3680	178	46	→	→	SYM
cana-3680	178	47	∞	∞	NUM
cana-3680	178	48	.	.	PUNCT
cana-3680	179	1	by	by	ADP
cana-3680	179	2	using	use	VERB
cana-3680	179	3	the	the	DET
cana-3680	179	4	continuity	continuity	NOUN
cana-3680	179	5	of	of	ADP
cana-3680	179	6	the	the	DET
cana-3680	179	7	functions	function	NOUN
cana-3680	179	8	𝑔	𝑔	NOUN
cana-3680	179	9	,	,	PUNCT
cana-3680	179	10	𝑃	𝑃	PROPN
cana-3680	179	11	,	,	PUNCT
cana-3680	179	12	𝑅	𝑅	PROPN
cana-3680	179	13	,	,	PUNCT
cana-3680	179	14	𝑆	𝑆	PROPN
cana-3680	179	15	,	,	PUNCT
cana-3680	179	16	𝑇	𝑇	PROPN
cana-3680	179	17	,	,	PUNCT
cana-3680	179	18	𝐴	𝐴	PROPN
cana-3680	179	19	,	,	PUNCT
cana-3680	179	20	𝐽	𝐽	PROPN
cana-3680	179	21	𝜆	𝜆	NOUN
cana-3680	179	22	,	,	PUNCT
cana-3680	179	23	𝑁	𝑁	PROPN
cana-3680	179	24	𝐴	𝐴	PROPN
cana-3680	179	25	(	(	PUNCT
cana-3680	179	26	…	…	PUNCT
cana-3680	179	27	.	.	NUM
cana-3680	179	28	)	)	PUNCT
cana-3680	179	29	,	,	PUNCT
cana-3680	179	30	and	and	CCONJ
cana-3680	179	31	algorithm	algorithm	PROPN
cana-3680	179	32	3.1	3.1	NUM
cana-3680	179	33	,	,	PUNCT
cana-3680	179	34	we	we	PRON
cana-3680	179	35	have	have	VERB
cana-3680	179	36	𝑔(𝑤	𝑔(𝑤	NOUN
cana-3680	179	37	)	)	PUNCT
cana-3680	180	1	=	=	SYM
cana-3680	180	2	𝐽	𝐽	PROPN
cana-3680	180	3	𝜆,𝑁	𝜆,𝑁	PROPN
cana-3680	180	4	𝐴	𝐴	PROPN
cana-3680	180	5	(	(	PUNCT
cana-3680	180	6	.	.	PUNCT
cana-3680	180	7	,	,	PUNCT
cana-3680	180	8	.	.	PUNCT
cana-3680	180	9	)	)	PUNCT
cana-3680	181	1	[	[	X
cana-3680	181	2	𝐴(𝑃𝑜𝑔(𝑤	𝐴(𝑃𝑜𝑔(𝑤	NOUN
cana-3680	181	3	)	)	PUNCT
cana-3680	181	4	,	,	PUNCT
cana-3680	181	5	𝑅𝑜𝑔(𝑤))−	𝑅𝑜𝑔(𝑤))−	PROPN
cana-3680	181	6	𝜆(𝑆(𝑤	𝜆(𝑆(𝑤	NOUN
cana-3680	181	7	)	)	PUNCT
cana-3680	181	8	−	−	PROPN
cana-3680	181	9	𝑇(𝑤	𝑇(𝑤	NOUN
cana-3680	181	10	)	)	PUNCT
cana-3680	181	11	)	)	PUNCT
cana-3680	182	1	+	+	CCONJ
cana-3680	182	2	𝜆𝜌	𝜆𝜌	X
cana-3680	182	3	]	]	X
cana-3680	182	4	.	.	PUNCT
cana-3680	183	1	from	from	ADP
cana-3680	183	2	lemma	lemma	PROPN
cana-3680	183	3	3.1	3.1	NUM
cana-3680	183	4	,	,	PUNCT
cana-3680	183	5	we	we	PRON
cana-3680	183	6	conclude	conclude	VERB
cana-3680	183	7	that	that	PRON
cana-3680	183	8	𝑤∗	𝑤∗	PROPN
cana-3680	183	9	is	be	AUX
cana-3680	183	10	a	a	DET
cana-3680	183	11	solution	solution	NOUN
cana-3680	183	12	of	of	ADP
cana-3680	183	13	(	(	PUNCT
cana-3680	183	14	2.1	2.1	NUM
cana-3680	183	15	)	)	PUNCT
cana-3680	183	16	.	.	PUNCT
cana-3680	184	1	theorem	theorem	ADJ
cana-3680	184	2	3.2	3.2	NUM
cana-3680	184	3	.	.	PUNCT
cana-3680	185	1	let	let	VERB
cana-3680	185	2	𝑃	𝑃	NOUN
cana-3680	185	3	,	,	PUNCT
cana-3680	185	4	𝑅	𝑅	PROPN
cana-3680	185	5	,	,	PUNCT
cana-3680	185	6	𝑆	𝑆	PROPN
cana-3680	185	7	,	,	PUNCT
cana-3680	185	8	𝑇	𝑇	PROPN
cana-3680	185	9	,	,	PUNCT
cana-3680	185	10	𝐴	𝐴	PROPN
cana-3680	185	11	,	,	PUNCT
cana-3680	185	12	𝑁	𝑁	PROPN
cana-3680	185	13	,	,	PUNCT
cana-3680	185	14	𝑔	𝑔	NOUN
cana-3680	185	15	,	,	PUNCT
cana-3680	185	16	𝜅	𝜅	NUM
cana-3680	185	17	and	and	CCONJ
cana-3680	185	18	𝑤∗	𝑤∗	PROPN
cana-3680	185	19	be	be	AUX
cana-3680	185	20	the	the	DET
cana-3680	185	21	same	same	ADJ
cana-3680	185	22	as	as	ADP
cana-3680	185	23	in	in	ADP
cana-3680	185	24	theorem	theorem	NOUN
cana-3680	185	25	3.1	3.1	NUM
cana-3680	185	26	,	,	PUNCT
cana-3680	185	27	and	and	CCONJ
cana-3680	185	28	let	let	VERB
cana-3680	185	29	{	{	PUNCT
cana-3680	185	30	𝑤𝑛	𝑤𝑛	VERB
cana-3680	185	31	}	}	PUNCT
cana-3680	185	32	,	,	PUNCT
cana-3680	185	33	{	{	PUNCT
cana-3680	185	34	𝑞𝑛	𝑞𝑛	NOUN
cana-3680	185	35	}	}	PUNCT
cana-3680	185	36	,	,	PUNCT
cana-3680	185	37	{	{	PUNCT
cana-3680	185	38	𝑟𝑛	𝑟𝑛	AUX
cana-3680	185	39	}	}	PUNCT
cana-3680	185	40	be	be	AUX
cana-3680	185	41	the	the	DET
cana-3680	185	42	sequences	sequence	NOUN
cana-3680	185	43	defined	define	VERB
cana-3680	185	44	by	by	ADP
cana-3680	185	45	(	(	PUNCT
cana-3680	185	46	3.2	3.2	NUM
cana-3680	185	47	)	)	PUNCT
cana-3680	185	48	,	,	PUNCT
cana-3680	185	49	(	(	PUNCT
cana-3680	185	50	3.3	3.3	NUM
cana-3680	185	51	)	)	PUNCT
cana-3680	185	52	and	and	CCONJ
cana-3680	185	53	(	(	PUNCT
cana-3680	185	54	3.8	3.8	NUM
cana-3680	185	55	)	)	PUNCT
cana-3680	185	56	,	,	PUNCT
cana-3680	185	57	respectively	respectively	ADV
cana-3680	185	58	with	with	SCONJ
cana-3680	185	59	the	the	DET
cana-3680	185	60	sequences	sequence	NOUN
cana-3680	185	61	𝜉𝑛	𝜉𝑛	ADP
cana-3680	185	62	⊂	⊂	PROPN
cana-3680	185	63	[	[	X
cana-3680	185	64	0,1	0,1	X
cana-3680	185	65	]	]	PUNCT
cana-3680	185	66	and	and	CCONJ
cana-3680	185	67	{	{	PUNCT
cana-3680	185	68	𝜇𝑛	𝜇𝑛	NOUN
cana-3680	185	69	}	}	PUNCT
cana-3680	185	70	⊂	⊂	PROPN
cana-3680	186	1	[	[	X
cana-3680	186	2	0,1	0,1	X
cana-3680	186	3	]	]	PUNCT
cana-3680	186	4	satisfying	satisfy	VERB
cana-3680	186	5	the	the	DET
cana-3680	186	6	conditions	condition	NOUN
cana-3680	186	7	𝑙𝑖𝑚	𝑙𝑖𝑚	VERB
cana-3680	186	8	𝑛→∞	𝑛→∞	PUNCT
cana-3680	186	9	𝜉𝑛	𝜉𝑛	ADP
cana-3680	186	10	=	=	SYM
cana-3680	186	11	0	0	NUM
cana-3680	186	12	and	and	CCONJ
cana-3680	186	13	∑	∑	ADP
cana-3680	186	14	𝜉𝑛	𝜉𝑛	VERB
cana-3680	186	15	∞	∞	NUM
cana-3680	186	16	𝑛=0	𝑛=0	PROPN
cana-3680	186	17	=	=	PUNCT
cana-3680	186	18	∞	∞	PROPN
cana-3680	186	19	.	.	PUNCT
cana-3680	187	1	then	then	ADV
cana-3680	187	2	the	the	DET
cana-3680	187	3	following	follow	VERB
cana-3680	187	4	assertions	assertion	NOUN
cana-3680	187	5	are	be	AUX
cana-3680	187	6	identical	identical	ADJ
cana-3680	187	7	a	a	X
cana-3680	187	8	)	)	PUNCT
cana-3680	187	9	{	{	PUNCT
cana-3680	187	10	𝑤𝑛	𝑤𝑛	NOUN
cana-3680	187	11	}	}	PUNCT
cana-3680	187	12	converges	converge	NOUN
cana-3680	187	13	to	to	PART
cana-3680	187	14	𝑤∗	𝑤∗	PROPN
cana-3680	187	15	∈	∈	PROPN
cana-3680	187	16	ℋ	ℋ	PROPN
cana-3680	187	17	;	;	PUNCT
cana-3680	187	18	b	b	X
cana-3680	187	19	)	)	PUNCT
cana-3680	187	20	{	{	PUNCT
cana-3680	187	21	𝑞𝑛	𝑞𝑛	PROPN
cana-3680	187	22	}	}	PUNCT
cana-3680	187	23	converges	converge	NOUN
cana-3680	187	24	to	to	ADP
cana-3680	187	25	𝑤∗	𝑤∗	PROPN
cana-3680	187	26	∈	∈	PROPN
cana-3680	187	27	ℋ	ℋ	PROPN
cana-3680	187	28	;	;	PUNCT
cana-3680	187	29	c	c	X
cana-3680	187	30	)	)	PUNCT
cana-3680	187	31	{	{	PUNCT
cana-3680	187	32	𝑟𝑛	𝑟𝑛	ADP
cana-3680	187	33	}	}	PUNCT
cana-3680	187	34	converges	converge	NOUN
cana-3680	187	35	to	to	ADP
cana-3680	187	36	𝑤∗	𝑤∗	PROPN
cana-3680	187	37	∈	∈	PROPN
cana-3680	187	38	ℋ.	ℋ.	PROPN
cana-3680	187	39	algorithm	algorithm	NOUN
cana-3680	187	40	3.3	3.3	NUM
cana-3680	187	41	.	.	PUNCT
cana-3680	188	1	the	the	DET
cana-3680	188	2	iterative	iterative	NOUN
cana-3680	188	3	sequence	sequence	NOUN
cana-3680	188	4	{	{	PUNCT
cana-3680	188	5	𝑠𝑛	𝑠𝑛	NOUN
cana-3680	188	6	}	}	PUNCT
cana-3680	188	7	for	for	ADP
cana-3680	188	8	all	all	DET
cana-3680	188	9	𝑛	𝑛	DET
cana-3680	188	10	∈	∈	NOUN
cana-3680	188	11	𝑁0	𝑁0	ADJ
cana-3680	188	12	is	be	AUX
cana-3680	188	13	stated	state	VERB
cana-3680	188	14	as	as	ADP
cana-3680	188	15	{	{	PUNCT
cana-3680	188	16	s0	s0	PROPN
cana-3680	188	17	∈	∈	PROPN
cana-3680	188	18	ℋ	ℋ	PROPN
cana-3680	188	19	sn+1	sn+1	PROPN
cana-3680	188	20	=	=	SYM
cana-3680	188	21	tn	tn	PROPN
cana-3680	188	22	−	−	PROPN
cana-3680	188	23	g(tn	g(tn	NOUN
cana-3680	188	24	)	)	PUNCT
cana-3680	189	1	+	+	CCONJ
cana-3680	189	2	jλ	jλ	ADJ
cana-3680	189	3	,	,	PUNCT
cana-3680	189	4	n	n	PRON
cana-3680	189	5	a	a	PRON
cana-3680	189	6	(	(	PUNCT
cana-3680	189	7	…	…	PUNCT
cana-3680	189	8	.	.	PUNCT
cana-3680	189	9	)	)	PUNCT
cana-3680	190	1	[	[	X
cana-3680	190	2	a(pog(tn),rog(tn))−	a(pog(tn),rog(tn))−	X
cana-3680	190	3	λ(s(tn)−	λ(s(tn)−	AUX
cana-3680	190	4	t(tn))+	t(tn))+	VERB
cana-3680	190	5	λρ	λρ	PRON
cana-3680	190	6	]	]	X
cana-3680	190	7	tn	tn	NOUN
cana-3680	190	8	=	=	SYM
cana-3680	190	9	(	(	PUNCT
cana-3680	190	10	1	1	NUM
cana-3680	190	11	−	−	PROPN
cana-3680	190	12	μ	μ	PROPN
cana-3680	190	13	n	n	NOUN
cana-3680	190	14	)	)	PUNCT
cana-3680	190	15	sn	sn	PROPN
cana-3680	191	1	+	+	CCONJ
cana-3680	191	2	μ	μ	PROPN
cana-3680	191	3	n	n	PROPN
cana-3680	192	1	[	[	X
cana-3680	192	2	sn	sn	INTJ
cana-3680	192	3	−	−	PROPN
cana-3680	192	4	g(sn	g(sn	PROPN
cana-3680	192	5	)	)	PUNCT
cana-3680	193	1	+	+	NUM
cana-3680	193	2	j	j	PROPN
cana-3680	193	3	λ	λ	PROPN
cana-3680	193	4	,	,	PUNCT
cana-3680	193	5	n	n	PRON
cana-3680	193	6	a	a	PRON
cana-3680	193	7	(	(	PUNCT
cana-3680	193	8	…	…	PUNCT
cana-3680	193	9	.	.	PUNCT
cana-3680	193	10	)	)	PUNCT
cana-3680	194	1	[	[	X
cana-3680	194	2	a(pog(sn	a(pog(sn	PROPN
cana-3680	194	3	)	)	PUNCT
cana-3680	194	4	,	,	PUNCT
cana-3680	194	5	rog(sn	rog(sn	ADJ
cana-3680	194	6	)	)	PUNCT
cana-3680	194	7	)	)	PUNCT
cana-3680	195	1	−λ(s(sn	−λ(s(sn	PROPN
cana-3680	195	2	)	)	PUNCT
cana-3680	195	3	−	−	PROPN
cana-3680	195	4	t(sn	t(sn	PROPN
cana-3680	195	5	)	)	PUNCT
cana-3680	195	6	)	)	PUNCT
cana-3680	196	1	+	+	PUNCT
cana-3680	196	2	λρ	λρ	ADV
cana-3680	196	3	]	]	X
cana-3680	196	4	]	]	PUNCT
cana-3680	196	5	,	,	PUNCT
cana-3680	196	6	(	(	PUNCT
cana-3680	196	7	3.13	3.13	NUM
cana-3680	196	8	)	)	PUNCT
cana-3680	196	9	where	where	SCONJ
cana-3680	196	10	{	{	PUNCT
cana-3680	196	11	𝜇𝑛	𝜇𝑛	NOUN
cana-3680	196	12	}	}	PUNCT
cana-3680	196	13	is	be	AUX
cana-3680	196	14	a	a	DET
cana-3680	196	15	sequence	sequence	NOUN
cana-3680	196	16	in	in	ADP
cana-3680	196	17	(	(	PUNCT
cana-3680	196	18	0,1	0,1	NOUN
cana-3680	196	19	)	)	PUNCT
cana-3680	196	20	satisfying	satisfy	VERB
cana-3680	196	21	certain	certain	ADJ
cana-3680	196	22	control	control	NOUN
cana-3680	196	23	conditions	condition	NOUN
cana-3680	196	24	.	.	PUNCT
cana-3680	197	1	definition	definition	NOUN
cana-3680	197	2	3.1([4	3.1([4	PROPN
cana-3680	197	3	]	]	PUNCT
cana-3680	197	4	)	)	PUNCT
cana-3680	197	5	.	.	PUNCT
cana-3680	198	1	consider	consider	VERB
cana-3680	198	2	two	two	NUM
cana-3680	198	3	real	real	ADJ
cana-3680	198	4	sequences	sequence	NOUN
cana-3680	198	5	{	{	PUNCT
cana-3680	198	6	𝛼𝑛}𝑛=0	𝛼𝑛}𝑛=0	NOUN
cana-3680	198	7	∞	∞	PROPN
cana-3680	198	8	and	and	CCONJ
cana-3680	198	9	{	{	PUNCT
cana-3680	198	10	𝜃𝑛}𝑛=0	𝜃𝑛}𝑛=0	NOUN
cana-3680	198	11	∞	∞	PROPN
cana-3680	198	12	with	with	ADP
cana-3680	198	13	limits	limit	NOUN
cana-3680	198	14	𝛼	𝛼	VERB
cana-3680	198	15	and	and	CCONJ
cana-3680	198	16	𝜃	𝜃	NOUN
cana-3680	198	17	,	,	PUNCT
cana-3680	198	18	respectively	respectively	ADV
cana-3680	198	19	.	.	PUNCT
cana-3680	199	1	assume	assume	VERB
cana-3680	199	2	there	there	PRON
cana-3680	199	3	exists	exist	VERB
cana-3680	199	4	communications	communication	NOUN
cana-3680	199	5	on	on	ADP
cana-3680	199	6	applied	apply	VERB
cana-3680	199	7	nonlinear	nonlinear	ADJ
cana-3680	199	8	analysis	analysis	NOUN
cana-3680	199	9	issn	issn	NOUN
cana-3680	199	10	:	:	PUNCT
cana-3680	199	11	1074	1074	NUM
cana-3680	199	12	-	-	PUNCT
cana-3680	199	13	133x	133x	NUM
cana-3680	199	14	vol	vol	NOUN
cana-3680	199	15	32	32	NUM
cana-3680	199	16	no	no	NOUN
cana-3680	199	17	.	.	PUNCT
cana-3680	200	1	8s	8s	PROPN
cana-3680	200	2	(	(	PUNCT
cana-3680	200	3	2025	2025	NUM
cana-3680	200	4	)	)	PUNCT
cana-3680	200	5	351	351	NUM
cana-3680	200	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3680	200	7	𝑙𝑖𝑚	𝑙𝑖𝑚	VERB
cana-3680	200	8	𝑛→∞	𝑛→∞	NUM
cana-3680	200	9	|𝛼𝑛−𝛼|	|𝛼𝑛−𝛼|	X
cana-3680	200	10	|𝜃𝑛−𝜃|	|𝜃𝑛−𝜃|	NOUN
cana-3680	200	11	=	=	PUNCT
cana-3680	201	1	𝑙.	𝑙.	NOUN
cana-3680	201	2	a	a	X
cana-3680	201	3	)	)	PUNCT
cana-3680	201	4	if	if	SCONJ
cana-3680	201	5	𝑙	𝑙	PROPN
cana-3680	201	6	=	=	SYM
cana-3680	201	7	0	0	NUM
cana-3680	201	8	,	,	PUNCT
cana-3680	201	9	in	in	ADP
cana-3680	201	10	such	such	ADJ
cana-3680	201	11	instances	instance	NOUN
cana-3680	201	12	,	,	PUNCT
cana-3680	201	13	it	it	PRON
cana-3680	201	14	can	can	AUX
cana-3680	201	15	be	be	AUX
cana-3680	201	16	expressed	express	VERB
cana-3680	201	17	that	that	SCONJ
cana-3680	201	18	{	{	PUNCT
cana-3680	201	19	𝛼𝑛}𝑛=0	𝛼𝑛}𝑛=0	NOUN
cana-3680	201	20	∞	∞	NUM
cana-3680	201	21	converges	converge	VERB
cana-3680	201	22	faster	fast	ADV
cana-3680	201	23	to	to	ADP
cana-3680	201	24	𝛼	𝛼	PRON
cana-3680	201	25	than	than	ADP
cana-3680	201	26	{	{	PUNCT
cana-3680	201	27	𝜃𝑛}𝑛=0	𝜃𝑛}𝑛=0	NOUN
cana-3680	201	28	∞	∞	PROPN
cana-3680	201	29	to	to	ADP
cana-3680	201	30	𝜃.	𝜃.	NOUN
cana-3680	201	31	b	b	NOUN
cana-3680	201	32	)	)	PUNCT
cana-3680	201	33	if	if	SCONJ
cana-3680	201	34	𝑙	𝑙	PROPN
cana-3680	201	35	∈	∈	PROPN
cana-3680	201	36	(	(	PUNCT
cana-3680	201	37	0,∞	0,∞	NOUN
cana-3680	201	38	)	)	PUNCT
cana-3680	201	39	,	,	PUNCT
cana-3680	201	40	in	in	ADP
cana-3680	201	41	such	such	ADJ
cana-3680	201	42	scenarios	scenario	NOUN
cana-3680	201	43	,	,	PUNCT
cana-3680	201	44	we	we	PRON
cana-3680	201	45	can	can	AUX
cana-3680	201	46	affirm	affirm	VERB
cana-3680	201	47	{	{	PUNCT
cana-3680	201	48	𝛼𝑛}𝑛=0	𝛼𝑛}𝑛=0	NOUN
cana-3680	201	49	∞	∞	PROPN
cana-3680	201	50	and	and	CCONJ
cana-3680	201	51	{	{	PUNCT
cana-3680	201	52	𝜃𝑛	𝜃𝑛	NOUN
cana-3680	201	53	}	}	PUNCT
cana-3680	201	54	𝑛=0	𝑛=0	PROPN
cana-3680	201	55	∞	∞	PROPN
cana-3680	201	56	have	have	VERB
cana-3680	201	57	the	the	DET
cana-3680	201	58	same	same	ADJ
cana-3680	201	59	rate	rate	NOUN
cana-3680	201	60	of	of	ADP
cana-3680	201	61	convergence	convergence	NOUN
cana-3680	201	62	.	.	PUNCT
cana-3680	202	1	remark	remark	PROPN
cana-3680	202	2	3.1	3.1	NUM
cana-3680	202	3	.	.	PUNCT
cana-3680	203	1	a	a	X
cana-3680	203	2	)	)	PUNCT
cana-3680	203	3	when	when	SCONJ
cana-3680	203	4	𝑙	𝑙	X
cana-3680	203	5	=	=	SYM
cana-3680	203	6	∞	∞	PROPN
cana-3680	203	7	,	,	PUNCT
cana-3680	203	8	it	it	PRON
cana-3680	203	9	indicates	indicate	VERB
cana-3680	203	10	that	that	SCONJ
cana-3680	203	11	the	the	DET
cana-3680	203	12	sequence	sequence	NOUN
cana-3680	203	13	{	{	PUNCT
cana-3680	203	14	𝜃𝑛}𝑛=0	𝜃𝑛}𝑛=0	X
cana-3680	203	15	∞	∞	PROPN
cana-3680	203	16	converges	converge	VERB
cana-3680	203	17	more	more	ADV
cana-3680	203	18	rapidly	rapidly	ADV
cana-3680	203	19	than	than	ADP
cana-3680	203	20	{	{	PUNCT
cana-3680	203	21	𝛼𝑛}𝑛=0	𝛼𝑛}𝑛=0	NOUN
cana-3680	203	22	∞	∞	PROPN
cana-3680	203	23	.	.	PUNCT
cana-3680	204	1	b	b	X
cana-3680	204	2	)	)	PUNCT
cana-3680	204	3	in	in	ADP
cana-3680	204	4	situations	situation	NOUN
cana-3680	204	5	where	where	SCONJ
cana-3680	204	6	both	both	DET
cana-3680	204	7	sequences	sequence	NOUN
cana-3680	204	8	{	{	PUNCT
cana-3680	204	9	𝑤𝑛}𝑛=0	𝑤𝑛}𝑛=0	X
cana-3680	204	10	∞	∞	PROPN
cana-3680	204	11	and	and	CCONJ
cana-3680	204	12	{	{	PUNCT
cana-3680	204	13	𝑦𝑛}𝑛=0	𝑦𝑛}𝑛=0	NOUN
cana-3680	204	14	∞	∞	PROPN
cana-3680	204	15	within	within	ADP
cana-3680	204	16	the	the	DET
cana-3680	204	17	space	space	NOUN
cana-3680	204	18	ℋ	ℋ	NOUN
cana-3680	204	19	converge	converge	NOUN
cana-3680	204	20	to	to	ADP
cana-3680	204	21	the	the	DET
cana-3680	204	22	same	same	ADJ
cana-3680	204	23	point	point	NOUN
cana-3680	204	24	𝑝	𝑝	NOUN
cana-3680	204	25	,	,	PUNCT
cana-3680	204	26	the	the	DET
cana-3680	204	27	ensuing	ensue	VERB
cana-3680	204	28	error	error	NOUN
cana-3680	204	29	predictions	prediction	NOUN
cana-3680	204	30	apply	apply	VERB
cana-3680	204	31	:	:	PUNCT
cana-3680	205	1	‖𝑤𝑛	‖𝑤𝑛	NUM
cana-3680	205	2	−	−	PROPN
cana-3680	205	3	𝑝‖	𝑝‖	PROPN
cana-3680	205	4	≤	≤	PROPN
cana-3680	205	5	𝛼𝑛	𝛼𝑛	PROPN
cana-3680	205	6	,	,	PUNCT
cana-3680	205	7	∀𝑛	∀𝑛	PROPN
cana-3680	205	8	∈	∈	PROPN
cana-3680	205	9	𝑁0	𝑁0	VERB
cana-3680	205	10	,	,	PUNCT
cana-3680	205	11	(	(	PUNCT
cana-3680	205	12	3.14	3.14	NUM
cana-3680	205	13	)	)	PUNCT
cana-3680	205	14	‖𝑦𝑛	‖𝑦𝑛	NUM
cana-3680	205	15	−𝑝‖	−𝑝‖	NOUN
cana-3680	205	16	≤	≤	NUM
cana-3680	205	17	𝜃𝑛	𝜃𝑛	NOUN
cana-3680	205	18	,	,	PUNCT
cana-3680	205	19	∀𝑛	∀𝑛	PROPN
cana-3680	205	20	∈	∈	PROPN
cana-3680	205	21	𝑁0	𝑁0	VERB
cana-3680	205	22	,	,	PUNCT
cana-3680	205	23	(	(	PUNCT
cana-3680	205	24	3.15	3.15	NUM
cana-3680	205	25	)	)	PUNCT
cana-3680	205	26	where	where	SCONJ
cana-3680	205	27	{	{	PUNCT
cana-3680	205	28	𝛼𝑛}𝑛=0	𝛼𝑛}𝑛=0	NOUN
cana-3680	205	29	∞	∞	PROPN
cana-3680	205	30	and	and	CCONJ
cana-3680	205	31	{	{	PUNCT
cana-3680	205	32	𝜃𝑛}𝑛=0	𝜃𝑛}𝑛=0	NOUN
cana-3680	205	33	∞	∞	PROPN
cana-3680	205	34	are	be	AUX
cana-3680	205	35	sequences	sequence	NOUN
cana-3680	205	36	consisting	consist	VERB
cana-3680	205	37	of	of	ADP
cana-3680	205	38	positive	positive	ADJ
cana-3680	205	39	numbers	number	NOUN
cana-3680	205	40	(	(	PUNCT
cana-3680	205	41	converges	converge	VERB
cana-3680	205	42	to	to	ADP
cana-3680	205	43	zero	zero	NUM
cana-3680	205	44	)	)	PUNCT
cana-3680	205	45	.	.	PUNCT
cana-3680	206	1	definition	definition	NOUN
cana-3680	206	2	3.2	3.2	NUM
cana-3680	206	3	(	(	PUNCT
cana-3680	206	4	[	[	X
cana-3680	206	5	4	4	NUM
cana-3680	206	6	]	]	PUNCT
cana-3680	206	7	)	)	PUNCT
cana-3680	206	8	.	.	PUNCT
cana-3680	207	1	suppose	suppose	VERB
cana-3680	207	2	we	we	PRON
cana-3680	207	3	have	have	VERB
cana-3680	207	4	two	two	NUM
cana-3680	207	5	sequences	sequence	NOUN
cana-3680	207	6	,	,	PUNCT
cana-3680	207	7	{	{	PUNCT
cana-3680	207	8	𝑤𝑛}𝑛=0	𝑤𝑛}𝑛=0	VERB
cana-3680	207	9	∞	∞	PROPN
cana-3680	207	10	and	and	CCONJ
cana-3680	207	11	{	{	PUNCT
cana-3680	207	12	𝑦𝑛}𝑛=0	𝑦𝑛}𝑛=0	NOUN
cana-3680	207	13	∞	∞	PROPN
cana-3680	207	14	both	both	CCONJ
cana-3680	207	15	within	within	ADP
cana-3680	207	16	the	the	DET
cana-3680	207	17	space	space	NOUN
cana-3680	207	18	ℋ	ℋ	PROPN
cana-3680	207	19	,	,	PUNCT
cana-3680	207	20	converging	converge	VERB
cana-3680	207	21	to	to	ADP
cana-3680	207	22	the	the	DET
cana-3680	207	23	same	same	ADJ
cana-3680	207	24	point	point	NOUN
cana-3680	207	25	𝑝	𝑝	ADP
cana-3680	207	26	and	and	CCONJ
cana-3680	207	27	satisfying	satisfy	VERB
cana-3680	207	28	conditions	condition	NOUN
cana-3680	207	29	(	(	PUNCT
cana-3680	207	30	3.14	3.14	NUM
cana-3680	207	31	)	)	PUNCT
cana-3680	207	32	and	and	CCONJ
cana-3680	207	33	(	(	PUNCT
cana-3680	207	34	3.15	3.15	NUM
cana-3680	207	35	)	)	PUNCT
cana-3680	207	36	,	,	PUNCT
cana-3680	207	37	respectively	respectively	ADV
cana-3680	207	38	.	.	PUNCT
cana-3680	208	1	when	when	SCONJ
cana-3680	208	2	the	the	DET
cana-3680	208	3	sequence	sequence	NOUN
cana-3680	208	4	{	{	PUNCT
cana-3680	208	5	𝛼𝑛}𝑛=0	𝛼𝑛}𝑛=0	NOUN
cana-3680	208	6	∞	∞	PROPN
cana-3680	208	7	converges	converge	VERB
cana-3680	208	8	more	more	ADV
cana-3680	208	9	rapidly	rapidly	ADV
cana-3680	208	10	than	than	ADP
cana-3680	208	11	{	{	PUNCT
cana-3680	208	12	𝜃𝑛}𝑛=0	𝜃𝑛}𝑛=0	NOUN
cana-3680	208	13	∞	∞	PROPN
cana-3680	208	14	,	,	PUNCT
cana-3680	208	15	we	we	PRON
cana-3680	208	16	characterise	characterise	VERB
cana-3680	208	17	{	{	PUNCT
cana-3680	208	18	𝑤𝑛}𝑛=0	𝑤𝑛}𝑛=0	VERB
cana-3680	208	19	∞	∞	PROPN
cana-3680	208	20	as	as	ADP
cana-3680	208	21	converging	converge	VERB
cana-3680	208	22	faster	fast	ADV
cana-3680	208	23	than	than	ADP
cana-3680	208	24	{	{	PUNCT
cana-3680	208	25	𝑦𝑛}𝑛=0	𝑦𝑛}𝑛=0	NOUN
cana-3680	208	26	∞	∞	PROPN
cana-3680	208	27	to	to	PART
cana-3680	208	28	𝑝.	𝑝.	VERB
cana-3680	208	29	lemma	lemma	PROPN
cana-3680	208	30	3.1	3.1	NUM
cana-3680	208	31	(	(	PUNCT
cana-3680	208	32	[	[	X
cana-3680	208	33	18	18	NUM
cana-3680	208	34	]	]	NUM
cana-3680	208	35	)	)	PUNCT
cana-3680	208	36	.	.	PUNCT
cana-3680	209	1	consider	consider	VERB
cana-3680	209	2	two	two	NUM
cana-3680	209	3	sequences	sequence	NOUN
cana-3680	209	4	,	,	PUNCT
cana-3680	209	5	{	{	PUNCT
cana-3680	209	6	𝜎𝑛}𝑛=0	𝜎𝑛}𝑛=0	NOUN
cana-3680	209	7	∞	∞	PROPN
cana-3680	209	8	and	and	CCONJ
cana-3680	209	9	{	{	PUNCT
cana-3680	209	10	𝜌𝑛}𝑛=0	𝜌𝑛}𝑛=0	NOUN
cana-3680	209	11	∞	∞	PROPN
cana-3680	209	12	,	,	PUNCT
cana-3680	209	13	consisting	consist	VERB
cana-3680	209	14	of	of	ADP
cana-3680	209	15	positive	positive	ADJ
cana-3680	209	16	real	real	ADJ
cana-3680	209	17	numbers	number	NOUN
cana-3680	209	18	,	,	PUNCT
cana-3680	209	19	which	which	PRON
cana-3680	209	20	satisfy	satisfy	VERB
cana-3680	209	21	the	the	DET
cana-3680	209	22	inequality	inequality	NOUN
cana-3680	209	23	given	give	VERB
cana-3680	209	24	as	as	ADP
cana-3680	209	25	:	:	PUNCT
cana-3680	209	26	σn+1	σn+1	PROPN
cana-3680	209	27	≤	≤	NOUN
cana-3680	209	28	(	(	PUNCT
cana-3680	209	29	1−	1−	NUM
cana-3680	209	30	ϵn)σn	ϵn)σn	PUNCT
cana-3680	210	1	+	+	CCONJ
cana-3680	210	2	ρ	ρ	PROPN
cana-3680	210	3	n	n	PROPN
cana-3680	210	4	,	,	PUNCT
cana-3680	210	5	(	(	PUNCT
cana-3680	210	6	3.16	3.16	NUM
cana-3680	210	7	)	)	PUNCT
cana-3680	210	8	where	where	SCONJ
cana-3680	210	9	𝜖𝑛	𝜖𝑛	PROPN
cana-3680	210	10	∈	∈	PROPN
cana-3680	210	11	(	(	PUNCT
cana-3680	210	12	0,1	0,1	NUM
cana-3680	210	13	)	)	PUNCT
cana-3680	210	14	for	for	ADP
cana-3680	210	15	all	all	DET
cana-3680	210	16	𝑛	𝑛	DET
cana-3680	210	17	≥	≥	NOUN
cana-3680	210	18	𝑛0	𝑛0	VERB
cana-3680	210	19	,	,	PUNCT
cana-3680	210	20	𝛴𝑛=1	𝛴𝑛=1	VERB
cana-3680	210	21	∞	∞	PROPN
cana-3680	210	22	𝜖𝑛	𝜖𝑛	PROPN
cana-3680	210	23	=	=	SYM
cana-3680	210	24	∞	∞	PROPN
cana-3680	210	25	,	,	PUNCT
cana-3680	210	26	and	and	CCONJ
cana-3680	210	27	𝜌𝑛	𝜌𝑛	NOUN
cana-3680	210	28	=	=	PUNCT
cana-3680	210	29	𝑜(𝜖𝑛	𝑜(𝜖𝑛	PROPN
cana-3680	210	30	)	)	PUNCT
cana-3680	210	31	.	.	PUNCT
cana-3680	211	1	then	then	ADV
cana-3680	211	2	,	,	PUNCT
cana-3680	211	3	𝑙𝑖𝑚	𝑙𝑖𝑚	VERB
cana-3680	211	4	𝑛→∞	𝑛→∞	NUM
cana-3680	211	5	𝜎𝑛	𝜎𝑛	NOUN
cana-3680	212	1	=	=	NOUN
cana-3680	212	2	0	0	X
cana-3680	212	3	.	.	PUNCT
cana-3680	213	1	now	now	ADV
cana-3680	213	2	,	,	PUNCT
cana-3680	213	3	we	we	PRON
cana-3680	213	4	are	be	AUX
cana-3680	213	5	ready	ready	ADJ
cana-3680	213	6	to	to	PART
cana-3680	213	7	establish	establish	VERB
cana-3680	213	8	the	the	DET
cana-3680	213	9	strong	strong	ADJ
cana-3680	213	10	convergence	convergence	NOUN
cana-3680	213	11	of	of	ADP
cana-3680	213	12	s	s	NOUN
cana-3680	213	13	-	-	PUNCT
cana-3680	213	14	iteration	iteration	NOUN
cana-3680	213	15	process	process	NOUN
cana-3680	213	16	(	(	PUNCT
cana-3680	213	17	3.13	3.13	NUM
cana-3680	213	18	)	)	PUNCT
cana-3680	213	19	to	to	ADP
cana-3680	213	20	a	a	DET
cana-3680	213	21	unique	unique	ADJ
cana-3680	213	22	solution	solution	NOUN
cana-3680	213	23	𝑤∗	𝑤∗	NOUN
cana-3680	213	24	of	of	ADP
cana-3680	213	25	(	(	PUNCT
cana-3680	213	26	2.1	2.1	NUM
cana-3680	213	27	)	)	PUNCT
cana-3680	213	28	.	.	PUNCT
cana-3680	214	1	theorem	theorem	VERB
cana-3680	214	2	3.3	3.3	NUM
cana-3680	214	3	.	.	PUNCT
cana-3680	215	1	let	let	VERB
cana-3680	215	2	ℋ	ℋ	PRON
cana-3680	215	3	be	be	AUX
cana-3680	215	4	a	a	DET
cana-3680	215	5	real	real	ADJ
cana-3680	215	6	hilbert	hilbert	NOUN
cana-3680	215	7	space	space	NOUN
cana-3680	215	8	and	and	CCONJ
cana-3680	215	9	𝐴:ℋ	𝐴:ℋ	PROPN
cana-3680	215	10	×ℋ	×ℋ	NOUN
cana-3680	215	11	→	→	SYM
cana-3680	215	12	ℋ	ℋ	PROPN
cana-3680	215	13	and	and	CCONJ
cana-3680	215	14	𝑃	𝑃	PROPN
cana-3680	215	15	,	,	PUNCT
cana-3680	215	16	𝑅	𝑅	PROPN
cana-3680	215	17	,	,	PUNCT
cana-3680	215	18	𝑆	𝑆	PROPN
cana-3680	215	19	,	,	PUNCT
cana-3680	215	20	𝑇	𝑇	PROPN
cana-3680	215	21	,	,	PUNCT
cana-3680	215	22	𝑔:ℋ	𝑔:ℋ	PROPN
cana-3680	215	23	→	→	SYM
cana-3680	215	24	ℋ	ℋ	PROPN
cana-3680	215	25	are	be	AUX
cana-3680	215	26	singlevalued	singlevalue	VERB
cana-3680	215	27	functions	function	NOUN
cana-3680	215	28	and	and	CCONJ
cana-3680	215	29	𝑁:ℋ	𝑁:ℋ	PROPN
cana-3680	215	30	→	→	SYM
cana-3680	215	31	2ℋ	2ℋ	NOUN
cana-3680	215	32	be	be	AUX
cana-3680	215	33	a	a	DET
cana-3680	215	34	multi	multi	ADJ
cana-3680	215	35	-	-	ADJ
cana-3680	215	36	valued	value	VERB
cana-3680	215	37	function	function	NOUN
cana-3680	215	38	such	such	ADJ
cana-3680	215	39	as	as	ADP
cana-3680	215	40	𝐴(.,.)𝑐𝑜	𝐴(.,.)𝑐𝑜	PROPN
cana-3680	215	41	−	−	PROPN
cana-3680	215	42	mt	mt	PROPN
cana-3680	215	43	with	with	ADP
cana-3680	215	44	respect	respect	NOUN
cana-3680	215	45	to	to	ADP
cana-3680	215	46	𝑃	𝑃	PROPN
cana-3680	215	47	,	,	PUNCT
cana-3680	215	48	𝑅	𝑅	PROPN
cana-3680	215	49	,	,	PUNCT
cana-3680	215	50	𝑔	𝑔	PROPN
cana-3680	215	51	operator	operator	NOUN
cana-3680	215	52	.	.	PUNCT
cana-3680	216	1	assume	assume	VERB
cana-3680	216	2	that	that	SCONJ
cana-3680	216	3	𝐴	𝐴	PROPN
cana-3680	216	4	(	(	PUNCT
cana-3680	216	5	.	.	PUNCT
cana-3680	216	6	,	,	PUNCT
cana-3680	216	7	.	.	PUNCT
cana-3680	216	8	)	)	PUNCT
cana-3680	217	1	is	be	AUX
cana-3680	217	2	lipschitz	lipschitz	VERB
cana-3680	217	3	continuous	continuous	ADJ
cana-3680	217	4	constant	constant	ADJ
cana-3680	217	5	𝑡	𝑡	X
cana-3680	217	6	>	>	X
cana-3680	217	7	0	0	NUM
cana-3680	217	8	,	,	PUNCT
cana-3680	217	9	mixed	mix	VERB
cana-3680	217	10	strongly	strongly	ADV
cana-3680	217	11	mt	mt	PROPN
cana-3680	217	12	with	with	ADP
cana-3680	217	13	respect	respect	NOUN
cana-3680	217	14	to	to	ADP
cana-3680	217	15	𝑃	𝑃	NOUN
cana-3680	217	16	and	and	CCONJ
cana-3680	217	17	𝑅	𝑅	NOUN
cana-3680	217	18	with	with	ADP
cana-3680	217	19	constant	constant	ADJ
cana-3680	217	20	𝛿	𝛿	PROPN
cana-3680	217	21	>	>	X
cana-3680	217	22	0	0	NUM
cana-3680	217	23	,	,	PUNCT
cana-3680	217	24	𝑔	𝑔	PROPN
cana-3680	217	25	is	be	AUX
cana-3680	217	26	strongly	strongly	ADV
cana-3680	217	27	mt	mt	PROPN
cana-3680	217	28	with	with	ADP
cana-3680	217	29	constant	constant	ADJ
cana-3680	217	30	𝛿𝑔	𝛿𝑔	NOUN
cana-3680	217	31	>	>	X
cana-3680	217	32	0	0	NUM
cana-3680	217	33	and	and	CCONJ
cana-3680	217	34	𝑔	𝑔	NOUN
cana-3680	217	35	,	,	PUNCT
cana-3680	217	36	𝑃	𝑃	NOUN
cana-3680	217	37	,	,	PUNCT
cana-3680	217	38	𝑅	𝑅	PROPN
cana-3680	217	39	,	,	PUNCT
cana-3680	217	40	𝑆	𝑆	PROPN
cana-3680	217	41	,	,	PUNCT
cana-3680	217	42	𝑇	𝑇	PROPN
cana-3680	217	43	are	be	AUX
cana-3680	217	44	lipschitz	lipschitz	NOUN
cana-3680	217	45	continuous	continuous	ADJ
cana-3680	217	46	with	with	ADP
cana-3680	217	47	𝜆𝑔	𝜆𝑔	NOUN
cana-3680	217	48	,	,	PUNCT
cana-3680	217	49	𝜆𝑃	𝜆𝑃	NOUN
cana-3680	217	50	,	,	PUNCT
cana-3680	217	51	𝜆𝑅	𝜆𝑅	ADJ
cana-3680	217	52	,	,	PUNCT
cana-3680	217	53	𝜆𝑆	𝜆𝑆	PUNCT
cana-3680	217	54	and	and	CCONJ
cana-3680	217	55	𝜆𝑇	𝜆𝑇	ADJ
cana-3680	217	56	respectively	respectively	ADV
cana-3680	217	57	such	such	ADJ
cana-3680	217	58	as	as	ADP
cana-3680	217	59	{	{	PUNCT
cana-3680	217	60	(	(	PUNCT
cana-3680	217	61	μα2	μα2	NOUN
cana-3680	217	62	−	−	NOUN
cana-3680	217	63	γβ2	γβ2	ADJ
cana-3680	217	64	)	)	PUNCT
cana-3680	217	65	2	2	NUM
cana-3680	217	66	(	(	PUNCT
cana-3680	217	67	1−	1−	NUM
cana-3680	217	68	2δg	2δg	NOUN
cana-3680	217	69	+	+	CCONJ
cana-3680	217	70	λg	λg	PROPN
cana-3680	217	71	2	2	NUM
cana-3680	217	72	)	)	PUNCT
cana-3680	217	73	<	<	X
cana-3680	218	1	[	[	X
cana-3680	218	2	μα2	μα2	NOUN
cana-3680	218	3	−	−	NOUN
cana-3680	218	4	γβ2	γβ2	VERB
cana-3680	218	5	−	−	PROPN
cana-3680	218	6	t1λpλg	t1λpλg	NOUN
cana-3680	218	7	−	−	PROPN
cana-3680	218	8	t2λrλg	t2λrλg	ADP
cana-3680	218	9	−	−	PROPN
cana-3680	218	10	λ(λs+	λ(λs+	NOUN
cana-3680	218	11	λt	λt	ADP
cana-3680	218	12	)	)	PUNCT
cana-3680	218	13	]	]	PUNCT
cana-3680	218	14	2	2	NUM
cana-3680	218	15	μ	μ	NOUN
cana-3680	218	16	>	>	X
cana-3680	218	17	γ	γ	PROPN
cana-3680	218	18	and	and	CCONJ
cana-3680	218	19	α	α	X
cana-3680	218	20	>	>	X
cana-3680	218	21	β	β	X
cana-3680	218	22	(	(	PUNCT
cana-3680	218	23	3.17	3.17	NUM
cana-3680	218	24	)	)	PUNCT
cana-3680	218	25	let	let	VERB
cana-3680	218	26	{	{	PUNCT
cana-3680	218	27	𝑠𝑛	𝑠𝑛	AUX
cana-3680	218	28	}	}	PUNCT
cana-3680	218	29	be	be	AUX
cana-3680	218	30	an	an	DET
cana-3680	218	31	iterative	iterative	NOUN
cana-3680	218	32	sequence	sequence	NOUN
cana-3680	218	33	in	in	ADP
cana-3680	218	34	ℋ	ℋ	PROPN
cana-3680	218	35	defined	define	VERB
cana-3680	218	36	by	by	ADP
cana-3680	218	37	(	(	PUNCT
cana-3680	218	38	3.1	3.1	NUM
cana-3680	218	39	)	)	PUNCT
cana-3680	218	40	with	with	ADP
cana-3680	218	41	the	the	DET
cana-3680	218	42	sequence	sequence	NOUN
cana-3680	218	43	{	{	PUNCT
cana-3680	218	44	𝜇𝑛	𝜇𝑛	NOUN
cana-3680	218	45	}	}	PUNCT
cana-3680	218	46	⊂	⊂	PROPN
cana-3680	218	47	(	(	PUNCT
cana-3680	218	48	0,1	0,1	NOUN
cana-3680	218	49	)	)	PUNCT
cana-3680	218	50	satisfying	satisfy	VERB
cana-3680	218	51	∑	∑	PUNCT
cana-3680	218	52	𝜇𝑛	𝜇𝑛	PROPN
cana-3680	218	53	∞	∞	NUM
cana-3680	218	54	𝑛=0	𝑛=0	PROPN
cana-3680	219	1	=	=	SYM
cana-3680	219	2	∞.	∞.	PROPN
cana-3680	219	3	then	then	ADV
cana-3680	219	4	,	,	PUNCT
cana-3680	219	5	the	the	DET
cana-3680	219	6	sequence	sequence	NOUN
cana-3680	219	7	{	{	PUNCT
cana-3680	219	8	𝑠𝑛	𝑠𝑛	NOUN
cana-3680	219	9	}	}	PUNCT
cana-3680	219	10	demonstrates	demonstrate	VERB
cana-3680	219	11	converges	converge	NOUN
cana-3680	219	12	strongly	strongly	ADV
cana-3680	219	13	towards	towards	ADP
cana-3680	219	14	a	a	DET
cana-3680	219	15	unique	unique	ADJ
cana-3680	219	16	solution	solution	NOUN
cana-3680	219	17	𝑤∗	𝑤∗	NOUN
cana-3680	219	18	of	of	ADP
cana-3680	219	19	equation	equation	NOUN
cana-3680	219	20	(	(	PUNCT
cana-3680	219	21	2.1	2.1	NUM
cana-3680	219	22	)	)	PUNCT
cana-3680	219	23	,	,	PUNCT
cana-3680	219	24	and	and	CCONJ
cana-3680	219	25	this	this	DET
cana-3680	219	26	convergence	convergence	NOUN
cana-3680	219	27	is	be	AUX
cana-3680	219	28	associated	associate	VERB
cana-3680	219	29	with	with	ADP
cana-3680	219	30	the	the	DET
cana-3680	219	31	following	follow	VERB
cana-3680	219	32	estimate	estimate	NOUN
cana-3680	219	33	:	:	PUNCT
cana-3680	219	34	∥	∥	PROPN
cana-3680	219	35	sn	sn	PROPN
cana-3680	219	36	−w∗	−w∗	NOUN
cana-3680	219	37	∥≤	∥≤	PROPN
cana-3680	219	38	κn	κn	NOUN
cana-3680	219	39	∏	∏	PROPN
cana-3680	219	40	i=0	i=0	PROPN
cana-3680	219	41	n−1	n−1	PROPN
cana-3680	220	1	[	[	X
cana-3680	220	2	1−	1−	NUM
cana-3680	220	3	μ	μ	NUM
cana-3680	220	4	i	i	PROPN
cana-3680	220	5	(	(	PUNCT
cana-3680	220	6	1−	1−	NUM
cana-3680	220	7	κ	κ	NOUN
cana-3680	220	8	)	)	PUNCT
cana-3680	220	9	]	]	PUNCT
cana-3680	220	10	∥	∥	NUM
cana-3680	220	11	s0	s0	X
cana-3680	220	12	−w∗	−w∗	NUM
cana-3680	220	13	∥	∥	NOUN
cana-3680	220	14	,	,	PUNCT
cana-3680	220	15	for	for	ADP
cana-3680	220	16	n	n	PRON
cana-3680	220	17	∈	∈	PROPN
cana-3680	220	18	n	n	PRON
cana-3680	220	19	communications	communication	NOUN
cana-3680	220	20	on	on	ADP
cana-3680	220	21	applied	apply	VERB
cana-3680	220	22	nonlinear	nonlinear	ADJ
cana-3680	220	23	analysis	analysis	NOUN
cana-3680	220	24	issn	issn	NOUN
cana-3680	220	25	:	:	PUNCT
cana-3680	220	26	1074	1074	NUM
cana-3680	220	27	-	-	PUNCT
cana-3680	220	28	133x	133x	NUM
cana-3680	220	29	vol	vol	NOUN
cana-3680	220	30	32	32	NUM
cana-3680	220	31	no	no	NOUN
cana-3680	220	32	.	.	PUNCT
cana-3680	221	1	8s	8s	PROPN
cana-3680	221	2	(	(	PUNCT
cana-3680	221	3	2025	2025	NUM
cana-3680	221	4	)	)	PUNCT
cana-3680	221	5	352	352	NUM
cana-3680	221	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3680	221	7	proof	proof	NOUN
cana-3680	221	8	.	.	PUNCT
cana-3680	222	1	utilizing	utilize	VERB
cana-3680	222	2	(	(	PUNCT
cana-3680	222	3	2.3	2.3	NUM
cana-3680	222	4	)	)	PUNCT
cana-3680	222	5	,	,	PUNCT
cana-3680	222	6	(	(	PUNCT
cana-3680	222	7	3.6	3.6	NUM
cana-3680	222	8	)	)	PUNCT
cana-3680	222	9	and	and	CCONJ
cana-3680	222	10	(	(	PUNCT
cana-3680	222	11	3.13	3.13	NUM
cana-3680	222	12	)	)	PUNCT
cana-3680	222	13	,	,	PUNCT
cana-3680	222	14	we	we	PRON
cana-3680	222	15	obtain	obtain	VERB
cana-3680	222	16	∥	∥	NUM
cana-3680	222	17	sn+1	sn+1	VERB
cana-3680	222	18	−w∗	−w∗	NUM
cana-3680	222	19	∥=∥	∥=∥	NOUN
cana-3680	222	20	tn	tn	NOUN
cana-3680	222	21	−	−	PROPN
cana-3680	223	1	g(tn)+	g(tn)+	PROPN
cana-3680	223	2	jλ	jλ	NOUN
cana-3680	223	3	,	,	PUNCT
cana-3680	223	4	na(	na(	PROPN
cana-3680	223	5	…	…	NUM
cana-3680	223	6	)[a(pog(tn),rog(tn))−	)[a(pog(tn),rog(tn))−	NOUN
cana-3680	223	7	λ(s(tn)−	λ(s(tn)−	X
cana-3680	223	8	t(tn))+	t(tn))+	VERB
cana-3680	223	9	λρ	λρ	PRON
cana-3680	223	10	]	]	X
cana-3680	223	11	−(w∗	−(w∗	PROPN
cana-3680	223	12	−	−	NOUN
cana-3680	223	13	g(w∗)+	g(w∗)+	ADP
cana-3680	223	14	jλ	jλ	NOUN
cana-3680	223	15	,	,	PUNCT
cana-3680	223	16	na(	na(	PRON
cana-3680	223	17	…	…	PUNCT
cana-3680	223	18	)[a(pog(w∗),rog(w∗))−	)[a(pog(w∗),rog(w∗))−	ADJ
cana-3680	223	19	λ(s(w∗)−	λ(s(w∗)−	VERB
cana-3680	223	20	t(w∗))+	t(w∗))+	NOUN
cana-3680	223	21	λρ	λρ	ADP
cana-3680	223	22	]	]	X
cana-3680	223	23	)	)	PUNCT
cana-3680	223	24	∥	∥	X
cana-3680	224	1	=	=	PUNCT
cana-3680	224	2	∥	∥	NUM
cana-3680	224	3	tn	tn	NOUN
cana-3680	224	4	−	−	PROPN
cana-3680	224	5	w∗	w∗	NOUN
cana-3680	224	6	−	−	PROPN
cana-3680	224	7	g(tn	g(tn	NOUN
cana-3680	224	8	)	)	PUNCT
cana-3680	224	9	−	−	NOUN
cana-3680	224	10	g(w∗)+	g(w∗)+	ADP
cana-3680	224	11	jλ	jλ	ADJ
cana-3680	224	12	,	,	PUNCT
cana-3680	224	13	na(	na(	PROPN
cana-3680	224	14	…	…	SYM
cana-3680	224	15	)[a(pog(tn),rog(tn))−a(pog(w∗),rog(w∗	)[a(pog(tn),rog(tn))−a(pog(w∗),rog(w∗	PROPN
cana-3680	224	16	)	)	PUNCT
cana-3680	224	17	)	)	PUNCT
cana-3680	225	1	−λ(s(tn)−	−λ(s(tn)−	PROPN
cana-3680	225	2	s(w∗))+	s(w∗))+	VERB
cana-3680	225	3	λ(t(tn)−	λ(t(tn)−	NOUN
cana-3680	225	4	t(w∗))]+	t(w∗))]+	NOUN
cana-3680	225	5	λρ	λρ	ADP
cana-3680	225	6	∥.	∥.	X
cana-3680	225	7	(	(	PUNCT
cana-3680	225	8	3.18	3.18	NUM
cana-3680	225	9	)	)	PUNCT
cana-3680	225	10	we	we	PRON
cana-3680	225	11	have	have	VERB
cana-3680	225	12	‖j	‖j	PROPN
cana-3680	225	13	λ	λ	NOUN
cana-3680	225	14	,	,	PUNCT
cana-3680	225	15	n	n	PROPN
cana-3680	225	16	a(.,.)[a(pog(tn),rog(tn))−	a(.,.)[a(pog(tn),rog(tn))−	PROPN
cana-3680	225	17	λ(s(tn	λ(s(tn	NOUN
cana-3680	225	18	)	)	PUNCT
cana-3680	226	1	−	−	PROPN
cana-3680	226	2	t(tn))+	t(tn))+	NOUN
cana-3680	226	3	λρ	λρ	PRON
cana-3680	226	4	]	]	PUNCT
cana-3680	226	5	−j	−j	NOUN
cana-3680	226	6	λ	λ	PROPN
cana-3680	226	7	,	,	PUNCT
cana-3680	226	8	n	n	PRON
cana-3680	226	9	a	a	PRON
cana-3680	226	10	(	(	PUNCT
cana-3680	226	11	…	…	PUNCT
cana-3680	226	12	.	.	NUM
cana-3680	226	13	,	,	PUNCT
cana-3680	226	14	)	)	PUNCT
cana-3680	227	1	[	[	X
cana-3680	227	2	a(pog(w∗),rog(w∗))−	a(pog(w∗),rog(w∗))−	NOUN
cana-3680	227	3	λ(s(w∗)−	λ(s(w∗)−	VERB
cana-3680	227	4	t(w∗))+	t(w∗))+	NOUN
cana-3680	227	5	λρ	λρ	ADP
cana-3680	227	6	]	]	X
cana-3680	227	7	]	]	X
cana-3680	227	8	‖	‖	PROPN
cana-3680	227	9	≤	≤	NUM
cana-3680	227	10	1	1	NUM
cana-3680	227	11	μα2	μα2	NOUN
cana-3680	227	12	−	−	NOUN
cana-3680	227	13	γβ2	γβ2	VERB
cana-3680	227	14	‖a(pog(tn),rog(tn))−	‖a(pog(tn),rog(tn))−	PUNCT
cana-3680	227	15	λ(s(tn)−	λ(s(tn)−	X
cana-3680	227	16	t(tn	t(tn	NOUN
cana-3680	227	17	)	)	PUNCT
cana-3680	227	18	)	)	PUNCT
cana-3680	228	1	−	−	PROPN
cana-3680	228	2	(	(	PUNCT
cana-3680	228	3	a(pog(w∗),rog(w∗))−	a(pog(w∗),rog(w∗))−	AUX
cana-3680	228	4	λ(s(w∗)−	λ(s(w∗)−	X
cana-3680	228	5	t(w∗)))‖	t(w∗)))‖	X
cana-3680	228	6	≤	≤	NUM
cana-3680	228	7	1	1	NUM
cana-3680	228	8	μα	μα	PROPN
cana-3680	228	9	2−γβ	2−γβ	NUM
cana-3680	228	10	2‖a(pog(tn),rog(tn	2‖a(pog(tn),rog(tn	NUM
cana-3680	228	11	)	)	PUNCT
cana-3680	228	12	)	)	PUNCT
cana-3680	229	1	−a(pog(w∗),rog(w∗	−a(pog(w∗),rog(w∗	PUNCT
cana-3680	229	2	)	)	PUNCT
cana-3680	229	3	)	)	PUNCT
cana-3680	229	4	−λ(s(tn)−	−λ(s(tn)−	PROPN
cana-3680	229	5	s(w∗	s(w∗	X
cana-3680	229	6	)	)	PUNCT
cana-3680	229	7	+	+	NUM
cana-3680	229	8	t(tn	t(tn	NOUN
cana-3680	229	9	)	)	PUNCT
cana-3680	229	10	−	−	NUM
cana-3680	229	11	t(w∗))‖.	t(w∗))‖.	NOUN
cana-3680	229	12	(	(	PUNCT
cana-3680	229	13	3.19	3.19	NUM
cana-3680	229	14	)	)	PUNCT
cana-3680	229	15	since	since	SCONJ
cana-3680	229	16	𝐴	𝐴	PROPN
cana-3680	229	17	(	(	PUNCT
cana-3680	229	18	.	.	PUNCT
cana-3680	229	19	,	,	PUNCT
cana-3680	229	20	.	.	PUNCT
cana-3680	229	21	)	)	PUNCT
cana-3680	229	22	is	be	AUX
cana-3680	229	23	lipschitz	lipschitz	NOUN
cana-3680	229	24	continuous	continuous	ADJ
cana-3680	229	25	with	with	ADP
cana-3680	229	26	respect	respect	NOUN
cana-3680	229	27	to	to	ADP
cana-3680	229	28	𝑃	𝑃	NOUN
cana-3680	229	29	and	and	CCONJ
cana-3680	229	30	𝑅	𝑅	NOUN
cana-3680	229	31	,	,	PUNCT
cana-3680	229	32	and	and	CCONJ
cana-3680	229	33	lipschitz	lipschitz	VERB
cana-3680	229	34	continuous	continuous	ADJ
cana-3680	229	35	of	of	ADP
cana-3680	229	36	𝑃	𝑃	NOUN
cana-3680	229	37	and	and	CCONJ
cana-3680	229	38	𝑔	𝑔	NOUN
cana-3680	229	39	,	,	PUNCT
cana-3680	229	40	we	we	PRON
cana-3680	229	41	have	have	VERB
cana-3680	229	42	‖a(pog(tn),rog(tn))−	‖a(pog(tn),rog(tn))−	NUM
cana-3680	229	43	λ(s(tn)−	λ(s(tn)−	NOUN
cana-3680	229	44	t(tn))−	t(tn))−	NOUN
cana-3680	229	45	(	(	PUNCT
cana-3680	229	46	a(pog(w∗),rog(w∗))−	a(pog(w∗),rog(w∗))−	ADP
cana-3680	229	47	λ(s(w∗)−	λ(s(w∗)−	VERB
cana-3680	229	48	t(w∗))‖	t(w∗))‖	PROPN
cana-3680	229	49	=	=	SYM
cana-3680	229	50	‖a(pog(tn),rog(tn))−a(pog(w∗),rog(w∗))−	‖a(pog(tn),rog(tn))−a(pog(w∗),rog(w∗))−	X
cana-3680	229	51	λ(s(tn)−	λ(s(tn)−	X
cana-3680	229	52	s(w∗	s(w∗	NOUN
cana-3680	229	53	)	)	PUNCT
cana-3680	229	54	)	)	PUNCT
cana-3680	230	1	−λ(t(tn)−	−λ(t(tn)−	NOUN
cana-3680	230	2	t(w∗))‖	t(w∗))‖	PROPN
cana-3680	230	3	≤	≤	ADJ
cana-3680	230	4	‖a(pog(tn),rog(tn	‖a(pog(tn),rog(tn	NOUN
cana-3680	230	5	)	)	PUNCT
cana-3680	230	6	)	)	PUNCT
cana-3680	231	1	−	−	PROPN
cana-3680	231	2	a(pog(w∗),rog(w∗))‖+	a(pog(w∗),rog(w∗))‖+	PROPN
cana-3680	232	1	λ‖s(tn)−	λ‖s(tn)−	PROPN
cana-3680	233	1	s(w∗)‖	s(w∗)‖	X
cana-3680	233	2	+	+	ADJ
cana-3680	233	3	λ‖t(tn	λ‖t(tn	NOUN
cana-3680	233	4	)	)	PUNCT
cana-3680	233	5	−	−	PROPN
cana-3680	233	6	t(w∗)‖	t(w∗)‖	PROPN
cana-3680	233	7	≤	≤	NUM
cana-3680	233	8	‖a(pog(tn),rog(tn	‖a(pog(tn),rog(tn	NOUN
cana-3680	233	9	)	)	PUNCT
cana-3680	233	10	)	)	PUNCT
cana-3680	234	1	−	−	ADP
cana-3680	234	2	a(pog(w∗),rog(tn	a(pog(w∗),rog(tn	NOUN
cana-3680	234	3	)	)	PUNCT
cana-3680	234	4	)	)	PUNCT
cana-3680	235	1	+	+	NOUN
cana-3680	235	2	a(pog(w∗),rog(w∗	a(pog(w∗),rog(w∗	NOUN
cana-3680	235	3	)	)	PUNCT
cana-3680	235	4	)	)	PUNCT
cana-3680	235	5	−a(pog(w∗),rog(w∗))‖+	−a(pog(w∗),rog(w∗))‖+	PUNCT
cana-3680	236	1	λ‖s(tn	λ‖s(tn	X
cana-3680	236	2	)	)	PUNCT
cana-3680	236	3	−	−	PROPN
cana-3680	236	4	s(w∗)‖+	s(w∗)‖+	VERB
cana-3680	236	5	λ‖t(tn)−	λ‖t(tn)−	PROPN
cana-3680	236	6	t(w∗)‖	t(w∗)‖	SYM
cana-3680	236	7	≤	≤	NUM
cana-3680	236	8	‖a(pog(tn),rog(tn))−	‖a(pog(tn),rog(tn))−	PUNCT
cana-3680	236	9	a(pog(w∗),rog(w∗))‖+	a(pog(w∗),rog(w∗))‖+	PROPN
cana-3680	236	10	‖a(pog(w∗),rog(tn	‖a(pog(w∗),rog(tn	PROPN
cana-3680	236	11	)	)	PUNCT
cana-3680	236	12	)	)	PUNCT
cana-3680	236	13	−a(pog(w∗),rog(w∗))‖+	−a(pog(w∗),rog(w∗))‖+	PUNCT
cana-3680	237	1	λ‖s(tn	λ‖s(tn	X
cana-3680	237	2	)	)	PUNCT
cana-3680	237	3	−	−	PROPN
cana-3680	237	4	s(w∗)‖+	s(w∗)‖+	VERB
cana-3680	237	5	λ‖t(tn)−	λ‖t(tn)−	NOUN
cana-3680	237	6	t(w∗)‖	t(w∗)‖	X
cana-3680	237	7	because	because	SCONJ
cana-3680	237	8	𝑔	𝑔	PROPN
cana-3680	237	9	exhibits	exhibit	VERB
cana-3680	237	10	strongly	strongly	ADV
cana-3680	237	11	mt	mt	PROPN
cana-3680	237	12	with	with	ADP
cana-3680	237	13	parameter	parameter	PROPN
cana-3680	237	14	𝛿𝑔	𝛿𝑔	PROPN
cana-3680	237	15	and	and	CCONJ
cana-3680	237	16	is	be	AUX
cana-3680	237	17	also	also	ADV
cana-3680	237	18	lipschitz	lipschitz	VERB
cana-3680	237	19	continuous	continuous	ADJ
cana-3680	237	20	with	with	ADP
cana-3680	237	21	constant	constant	ADJ
cana-3680	237	22	𝜆𝑔	𝜆𝑔	NOUN
cana-3680	237	23	,	,	PUNCT
cana-3680	237	24	it	it	PRON
cana-3680	237	25	follows	follow	VERB
cana-3680	237	26	that	that	SCONJ
cana-3680	237	27	∥	∥	PROPN
cana-3680	237	28	𝑡𝑛	𝑡𝑛	VERB
cana-3680	237	29	−	−	NOUN
cana-3680	237	30	𝑤	𝑤	ADP
cana-3680	237	31	∗	∗	NOUN
cana-3680	237	32	−	−	NOUN
cana-3680	237	33	𝑔(𝑡𝑛	𝑔(𝑡𝑛	NOUN
cana-3680	237	34	)	)	PUNCT
cana-3680	238	1	+	+	CCONJ
cana-3680	238	2	𝑔(𝑤	𝑔(𝑤	PROPN
cana-3680	238	3	∗	∗	NOUN
cana-3680	238	4	)	)	PUNCT
cana-3680	238	5	∥2≤∥	∥2≤∥	X
cana-3680	238	6	𝑡𝑛	𝑡𝑛	VERB
cana-3680	238	7	−	−	PROPN
cana-3680	238	8	𝑤	𝑤	ADP
cana-3680	238	9	∗	∗	NOUN
cana-3680	238	10	∥2−	∥2−	PROPN
cana-3680	238	11	2⟨𝑔(𝑡𝑛	2⟨𝑔(𝑡𝑛	PROPN
cana-3680	238	12	)	)	PUNCT
cana-3680	239	1	−	−	PROPN
cana-3680	239	2	𝑔(𝑤	𝑔(𝑤	PROPN
cana-3680	239	3	∗	∗	NOUN
cana-3680	239	4	)	)	PUNCT
cana-3680	239	5	,	,	PUNCT
cana-3680	239	6	𝑡𝑛	𝑡𝑛	ADP
cana-3680	239	7	−	−	NOUN
cana-3680	239	8	𝑤	𝑤	ADP
cana-3680	239	9	∗⟩	∗⟩	NOUN
cana-3680	239	10	+	+	NOUN
cana-3680	239	11	∥	∥	NOUN
cana-3680	239	12	𝑔(𝑡𝑛	𝑔(𝑡𝑛	NUM
cana-3680	239	13	)	)	PUNCT
cana-3680	239	14	−	−	PROPN
cana-3680	239	15	𝑔(𝑤	𝑔(𝑤	PROPN
cana-3680	239	16	∗	∗	NOUN
cana-3680	239	17	)	)	PUNCT
cana-3680	239	18	∥2	∥2	NOUN
cana-3680	239	19	≤	≤	NOUN
cana-3680	240	1	(	(	PUNCT
cana-3680	240	2	1	1	NUM
cana-3680	240	3	−	−	NOUN
cana-3680	240	4	2𝛿𝑔	2𝛿𝑔	NOUN
cana-3680	240	5	+	+	CCONJ
cana-3680	240	6	𝜆𝑔	𝜆𝑔	NOUN
cana-3680	240	7	2	2	NUM
cana-3680	240	8	)	)	PUNCT
cana-3680	240	9	∥	∥	NOUN
cana-3680	240	10	𝑡𝑛	𝑡𝑛	VERB
cana-3680	240	11	−𝑤	−𝑤	PROPN
cana-3680	240	12	∗	∗	VERB
cana-3680	240	13	∥2	∥2	PROPN
cana-3680	240	14	.	.	PUNCT
cana-3680	241	1	(	(	PUNCT
cana-3680	241	2	3.20	3.20	NUM
cana-3680	241	3	)	)	PUNCT
cana-3680	241	4	communications	communication	NOUN
cana-3680	241	5	on	on	ADP
cana-3680	241	6	applied	apply	VERB
cana-3680	241	7	nonlinear	nonlinear	ADJ
cana-3680	241	8	analysis	analysis	NOUN
cana-3680	241	9	issn	issn	NOUN
cana-3680	241	10	:	:	PUNCT
cana-3680	241	11	1074	1074	NUM
cana-3680	241	12	-	-	PUNCT
cana-3680	241	13	133x	133x	NUM
cana-3680	241	14	vol	vol	NOUN
cana-3680	241	15	32	32	NUM
cana-3680	241	16	no	no	NOUN
cana-3680	241	17	.	.	PUNCT
cana-3680	242	1	8s	8s	PROPN
cana-3680	242	2	(	(	PUNCT
cana-3680	242	3	2025	2025	NUM
cana-3680	242	4	)	)	PUNCT
cana-3680	242	5	353	353	NUM
cana-3680	242	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3680	242	7	which	which	PRON
cana-3680	242	8	implies	imply	VERB
cana-3680	242	9	that	that	SCONJ
cana-3680	242	10	∥	∥	PROPN
cana-3680	242	11	tn	tn	NOUN
cana-3680	242	12	−	−	PROPN
cana-3680	242	13	w∗	w∗	NOUN
cana-3680	242	14	−	−	PROPN
cana-3680	242	15	(	(	PUNCT
cana-3680	242	16	g(tn	g(tn	NOUN
cana-3680	242	17	)	)	PUNCT
cana-3680	242	18	−	−	NOUN
cana-3680	242	19	g(w∗	g(w∗	NOUN
cana-3680	242	20	)	)	PUNCT
cana-3680	242	21	)	)	PUNCT
cana-3680	242	22	∥≤	∥≤	PROPN
cana-3680	242	23	√1	√1	ADV
cana-3680	242	24	−	−	PROPN
cana-3680	242	25	2δg	2δg	NOUN
cana-3680	243	1	+	+	CCONJ
cana-3680	243	2	λg	λg	X
cana-3680	243	3	2	2	NUM
cana-3680	243	4	∥	∥	NUM
cana-3680	243	5	tn	tn	NOUN
cana-3680	243	6	−w∗	−w∗	NOUN
cana-3680	243	7	∥.	∥.	NOUN
cana-3680	243	8	(	(	PUNCT
cana-3680	243	9	3.21	3.21	NUM
cana-3680	243	10	)	)	PUNCT
cana-3680	243	11	using	use	VERB
cana-3680	243	12	(	(	PUNCT
cana-3680	243	13	3.19	3.19	NUM
cana-3680	243	14	)	)	PUNCT
cana-3680	243	15	and	and	CCONJ
cana-3680	243	16	(	(	PUNCT
cana-3680	243	17	3.21	3.21	NUM
cana-3680	243	18	)	)	PUNCT
cana-3680	243	19	,	,	PUNCT
cana-3680	243	20	(	(	PUNCT
cana-3680	243	21	3.18	3.18	NUM
cana-3680	243	22	)	)	PUNCT
cana-3680	243	23	becomes	become	VERB
cana-3680	243	24	∥	∥	PROPN
cana-3680	243	25	𝑡𝑛	𝑡𝑛	VERB
cana-3680	243	26	−𝑤	−𝑤	PROPN
cana-3680	243	27	∗	∗	NOUN
cana-3680	243	28	−	−	PROPN
cana-3680	243	29	(	(	PUNCT
cana-3680	243	30	𝑔(𝑡𝑛	𝑔(𝑡𝑛	NUM
cana-3680	243	31	)	)	PUNCT
cana-3680	243	32	−	−	PROPN
cana-3680	243	33	𝑔(𝑤	𝑔(𝑤	PROPN
cana-3680	243	34	∗))+	∗))+	NOUN
cana-3680	243	35	𝐽	𝐽	PROPN
cana-3680	243	36	𝜆	𝜆	NOUN
cana-3680	243	37	,	,	PUNCT
cana-3680	243	38	𝑁	𝑁	PROPN
cana-3680	243	39	𝐴(.,.)[𝐴(𝑃𝑜𝑔(𝑡𝑛),𝑅𝑜𝑔(𝑡𝑛))−	𝐴(.,.)[𝐴(𝑃𝑜𝑔(𝑡𝑛),𝑅𝑜𝑔(𝑡𝑛))−	NOUN
cana-3680	243	40	𝜆(𝑆(𝑡𝑛	𝜆(𝑆(𝑡𝑛	PROPN
cana-3680	243	41	)	)	PUNCT
cana-3680	243	42	−	−	PROPN
cana-3680	244	1	𝑇(𝑡𝑛	𝑇(𝑡𝑛	PROPN
cana-3680	244	2	)	)	PUNCT
cana-3680	244	3	)	)	PUNCT
cana-3680	245	1	+	+	CCONJ
cana-3680	245	2	𝜆𝜌	𝜆𝜌	X
cana-3680	245	3	]	]	X
cana-3680	245	4	−𝐽	−𝐽	VERB
cana-3680	245	5	𝜆	𝜆	PRON
cana-3680	245	6	,	,	PUNCT
cana-3680	245	7	𝑁	𝑁	PROPN
cana-3680	245	8	𝐴(.,.)[𝐴(𝑃𝑜𝑔(𝑤∗),𝑅𝑜𝑔(𝑤∗))−	𝐴(.,.)[𝐴(𝑃𝑜𝑔(𝑤∗),𝑅𝑜𝑔(𝑤∗))−	PROPN
cana-3680	245	9	𝜆(𝑆(𝑤∗	𝜆(𝑆(𝑤∗	NOUN
cana-3680	245	10	)	)	PUNCT
cana-3680	246	1	−	−	PROPN
cana-3680	247	1	𝑇(𝑤∗))+	𝑇(𝑤∗))+	NOUN
cana-3680	247	2	𝜆𝜌	𝜆𝜌	X
cana-3680	247	3	]	]	X
cana-3680	247	4	∥	∥	PUNCT
cana-3680	247	5	≤	≤	NOUN
cana-3680	247	6	√1	√1	ADV
cana-3680	247	7	−	−	PROPN
cana-3680	247	8	2𝛿𝑔	2𝛿𝑔	NOUN
cana-3680	247	9	+	+	CCONJ
cana-3680	247	10	𝜆𝑔	𝜆𝑔	NOUN
cana-3680	247	11	2	2	NUM
cana-3680	247	12	+	+	NUM
cana-3680	247	13	𝑡1𝜆𝑃𝜆𝑔	𝑡1𝜆𝑃𝜆𝑔	PROPN
cana-3680	247	14	+	+	NUM
cana-3680	247	15	𝑡2𝜆𝑅𝜆𝑔	𝑡2𝜆𝑅𝜆𝑔	NOUN
cana-3680	247	16	+	+	CCONJ
cana-3680	247	17	𝜆𝜆𝑆	𝜆𝜆𝑆	PRON
cana-3680	247	18	+	+	CCONJ
cana-3680	247	19	𝜆𝜆𝑇	𝜆𝜆𝑇	NOUN
cana-3680	247	20	𝜇𝛼2	𝜇𝛼2	NOUN
cana-3680	247	21	−𝛾𝛽2	−𝛾𝛽2	ADP
cana-3680	247	22	∥	∥	NUM
cana-3680	247	23	𝑡𝑛	𝑡𝑛	VERB
cana-3680	247	24	−𝑤	−𝑤	PROPN
cana-3680	247	25	∗	∗	NOUN
cana-3680	247	26	∥	∥	PUNCT
cana-3680	247	27	=	=	SYM
cana-3680	247	28	𝜅	𝜅	X
cana-3680	247	29	∥	∥	PROPN
cana-3680	247	30	𝑡𝑛	𝑡𝑛	VERB
cana-3680	247	31	−𝑤	−𝑤	PROPN
cana-3680	247	32	∗	∗	PROPN
cana-3680	247	33	∥	∥	PROPN
cana-3680	247	34	,	,	PUNCT
cana-3680	247	35	(	(	PUNCT
cana-3680	247	36	3.22	3.22	NUM
cana-3680	247	37	)	)	PUNCT
cana-3680	247	38	where	where	SCONJ
cana-3680	247	39	,	,	PUNCT
cana-3680	247	40	𝜅	𝜅	PRON
cana-3680	247	41	=	=	NOUN
cana-3680	247	42	√1−	√1−	NOUN
cana-3680	247	43	2𝛿𝑔	2𝛿𝑔	NOUN
cana-3680	247	44	+	+	CCONJ
cana-3680	247	45	𝜆𝑔	𝜆𝑔	NOUN
cana-3680	247	46	2	2	NUM
cana-3680	247	47	+	+	NUM
cana-3680	247	48	𝑡1𝜆𝑃𝜆𝑔+𝑡2𝜆𝑅𝜆𝑔+𝜆𝜆𝑆+𝜆𝜆𝑇	𝑡1𝜆𝑃𝜆𝑔+𝑡2𝜆𝑅𝜆𝑔+𝜆𝜆𝑆+𝜆𝜆𝑇	NOUN
cana-3680	247	49	𝜇𝛼2−𝛾𝛽2	𝜇𝛼2−𝛾𝛽2	NOUN
cana-3680	247	50	.	.	PUNCT
cana-3680	248	1	using	use	VERB
cana-3680	248	2	(	(	PUNCT
cana-3680	248	3	2.3	2.3	NUM
cana-3680	248	4	)	)	PUNCT
cana-3680	248	5	,	,	PUNCT
cana-3680	248	6	(	(	PUNCT
cana-3680	248	7	3.6	3.6	NUM
cana-3680	248	8	)	)	PUNCT
cana-3680	248	9	and	and	CCONJ
cana-3680	248	10	(	(	PUNCT
cana-3680	248	11	3.13	3.13	NUM
cana-3680	248	12	)	)	PUNCT
cana-3680	248	13	,	,	PUNCT
cana-3680	248	14	we	we	PRON
cana-3680	248	15	have	have	VERB
cana-3680	248	16	∥	∥	NUM
cana-3680	248	17	tn	tn	ADP
cana-3680	248	18	−w∗	−w∗	NOUN
cana-3680	248	19	∥=∥	∥=∥	NOUN
cana-3680	248	20	(	(	PUNCT
cana-3680	248	21	1	1	NUM
cana-3680	248	22	−	−	PROPN
cana-3680	248	23	μ	μ	PROPN
cana-3680	248	24	n	n	PROPN
cana-3680	248	25	)	)	PUNCT
cana-3680	248	26	(	(	PUNCT
cana-3680	248	27	sn	sn	NOUN
cana-3680	248	28	−	−	PROPN
cana-3680	248	29	w∗	w∗	PROPN
cana-3680	248	30	)	)	PUNCT
cana-3680	249	1	+	+	CCONJ
cana-3680	249	2	μ	μ	PROPN
cana-3680	249	3	n	n	PROPN
cana-3680	249	4	(	(	PUNCT
cana-3680	249	5	sn	sn	NOUN
cana-3680	249	6	−	−	PROPN
cana-3680	249	7	g(sn	g(sn	PROPN
cana-3680	249	8	)	)	PUNCT
cana-3680	249	9	−	−	PROPN
cana-3680	250	1	(	(	PUNCT
cana-3680	250	2	w	w	NOUN
cana-3680	250	3	∗	∗	ADP
cana-3680	250	4	−	−	PROPN
cana-3680	250	5	g(w∗	g(w∗	NOUN
cana-3680	250	6	)	)	PUNCT
cana-3680	250	7	)	)	PUNCT
cana-3680	251	1	+	+	ADP
cana-3680	251	2	j	j	PROPN
cana-3680	251	3	λ	λ	PROPN
cana-3680	251	4	,	,	PUNCT
cana-3680	251	5	n	n	PRON
cana-3680	251	6	a	a	PRON
cana-3680	251	7	(	(	PUNCT
cana-3680	251	8	.	.	PUNCT
cana-3680	251	9	,	,	PUNCT
cana-3680	251	10	.	.	PUNCT
cana-3680	251	11	)	)	PUNCT
cana-3680	252	1	[	[	X
cana-3680	252	2	a(pog(sn),rog(sn	a(pog(sn),rog(sn	NOUN
cana-3680	252	3	)	)	PUNCT
cana-3680	252	4	)	)	PUNCT
cana-3680	252	5	−	−	ADP
cana-3680	252	6	λ(s(sn)−	λ(s(sn)−	NOUN
cana-3680	252	7	t(sn))+	t(sn))+	VERB
cana-3680	252	8	λρ	λρ	ADP
cana-3680	252	9	]	]	PUNCT
cana-3680	252	10	−j	−j	NOUN
cana-3680	252	11	λ	λ	PROPN
cana-3680	252	12	,	,	PUNCT
cana-3680	252	13	n	n	PRON
cana-3680	252	14	a	a	PRON
cana-3680	252	15	(	(	PUNCT
cana-3680	252	16	.	.	PUNCT
cana-3680	252	17	,	,	PUNCT
cana-3680	252	18	.	.	PUNCT
cana-3680	252	19	)	)	PUNCT
cana-3680	253	1	[	[	X
cana-3680	253	2	a(pog(w∗),rog(w∗))−	a(pog(w∗),rog(w∗))−	ADP
cana-3680	253	3	λ(s(w∗)−	λ(s(w∗)−	NOUN
cana-3680	253	4	t(w∗	t(w∗	NOUN
cana-3680	253	5	)	)	PUNCT
cana-3680	253	6	)	)	PUNCT
cana-3680	254	1	+	+	CCONJ
cana-3680	254	2	λρ	λρ	ADV
cana-3680	254	3	]	]	X
cana-3680	254	4	∥	∥	X
cana-3680	254	5	≤	≤	NUM
cana-3680	254	6	(	(	PUNCT
cana-3680	254	7	1	1	NUM
cana-3680	254	8	−	−	PROPN
cana-3680	254	9	μ	μ	PROPN
cana-3680	254	10	n	n	PROPN
cana-3680	254	11	)	)	PUNCT
cana-3680	255	1	∥	∥	NUM
cana-3680	255	2	sn	sn	NOUN
cana-3680	256	1	−	−	PROPN
cana-3680	256	2	w∗	w∗	NOUN
cana-3680	256	3	∥	∥	PUNCT
cana-3680	257	1	+	+	NOUN
cana-3680	257	2	μ	μ	NOUN
cana-3680	257	3	n	n	CCONJ
cana-3680	257	4	∥	∥	NUM
cana-3680	257	5	sn	sn	NOUN
cana-3680	257	6	−w∗	−w∗	NOUN
cana-3680	257	7	−	−	PROPN
cana-3680	257	8	(	(	PUNCT
cana-3680	257	9	g(sn)−	g(sn)−	NOUN
cana-3680	257	10	g(w∗	g(w∗	NOUN
cana-3680	257	11	)	)	PUNCT
cana-3680	257	12	)	)	PUNCT
cana-3680	258	1	+	+	NOUN
cana-3680	258	2	μ	μ	NOUN
cana-3680	258	3	n	n	CCONJ
cana-3680	258	4	∥	∥	NUM
cana-3680	258	5	j	j	PROPN
cana-3680	258	6	λ	λ	PROPN
cana-3680	258	7	,	,	PUNCT
cana-3680	258	8	n	n	PRON
cana-3680	258	9	a	a	PRON
cana-3680	258	10	(	(	PUNCT
cana-3680	258	11	.	.	PUNCT
cana-3680	258	12	,	,	PUNCT
cana-3680	258	13	.	.	PUNCT
cana-3680	258	14	)	)	PUNCT
cana-3680	259	1	[	[	X
cana-3680	259	2	a(pog(sn),rog(sn))−	a(pog(sn),rog(sn))−	NOUN
cana-3680	259	3	λ(s(sn)−	λ(s(sn)−	PUNCT
cana-3680	259	4	t(sn))+	t(sn))+	VERB
cana-3680	259	5	λρ	λρ	ADP
cana-3680	259	6	]	]	PUNCT
cana-3680	259	7	−j	−j	NOUN
cana-3680	259	8	λ	λ	PROPN
cana-3680	259	9	,	,	PUNCT
cana-3680	259	10	n	n	PRON
cana-3680	259	11	a	a	PRON
cana-3680	259	12	(	(	PUNCT
cana-3680	259	13	.	.	PUNCT
cana-3680	259	14	,	,	PUNCT
cana-3680	259	15	.	.	PUNCT
cana-3680	259	16	)	)	PUNCT
cana-3680	260	1	[	[	X
cana-3680	260	2	a(pog(w∗),rog(w∗))−	a(pog(w∗),rog(w∗))−	ADP
cana-3680	260	3	λ(s(w∗)−	λ(s(w∗)−	NOUN
cana-3680	260	4	t(w∗	t(w∗	NOUN
cana-3680	260	5	)	)	PUNCT
cana-3680	260	6	)	)	PUNCT
cana-3680	261	1	+	+	CCONJ
cana-3680	261	2	λρ	λρ	ADV
cana-3680	261	3	]	]	X
cana-3680	261	4	∥	∥	X
cana-3680	261	5	≤	≤	NUM
cana-3680	261	6	(	(	PUNCT
cana-3680	261	7	1	1	NUM
cana-3680	261	8	−	−	PROPN
cana-3680	261	9	μ	μ	PROPN
cana-3680	261	10	n	n	PROPN
cana-3680	261	11	)	)	PUNCT
cana-3680	262	1	∥	∥	NUM
cana-3680	262	2	sn	sn	NOUN
cana-3680	263	1	−	−	PROPN
cana-3680	263	2	w∗	w∗	NOUN
cana-3680	263	3	∥	∥	PUNCT
cana-3680	264	1	+	+	NOUN
cana-3680	264	2	μ	μ	NOUN
cana-3680	264	3	n	n	PRON
cana-3680	264	4	√1−	√1−	ADV
cana-3680	264	5	2δg	2δg	NOUN
cana-3680	265	1	+	+	CCONJ
cana-3680	265	2	λg	λg	X
cana-3680	265	3	2	2	NUM
cana-3680	265	4	∥	∥	NUM
cana-3680	265	5	sn	sn	NOUN
cana-3680	265	6	−	−	PROPN
cana-3680	265	7	w∗	w∗	NOUN
cana-3680	265	8	∥	∥	PUNCT
cana-3680	266	1	+	+	NUM
cana-3680	266	2	μn	μn	NUM
cana-3680	266	3	μα2−γβ2	μα2−γβ2	NUM
cana-3680	266	4	(	(	PUNCT
cana-3680	266	5	t1λpλg	t1λpλg	NOUN
cana-3680	266	6	+	+	CCONJ
cana-3680	266	7	t2λrλg	t2λrλg	ADP
cana-3680	266	8	+	+	NOUN
cana-3680	266	9	λλs	λλs	ADV
cana-3680	266	10	+	+	CCONJ
cana-3680	266	11	λλt	λλt	NOUN
cana-3680	266	12	)	)	PUNCT
cana-3680	266	13	∥	∥	PUNCT
cana-3680	266	14	sn	sn	NOUN
cana-3680	266	15	−w∗	−w∗	NOUN
cana-3680	266	16	∥	∥	NOUN
cana-3680	266	17	≤	≤	NOUN
cana-3680	267	1	[	[	X
cana-3680	267	2	1	1	NUM
cana-3680	267	3	−	−	PROPN
cana-3680	267	4	μ	μ	PROPN
cana-3680	267	5	n	n	PROPN
cana-3680	267	6	(	(	PUNCT
cana-3680	267	7	1−	1−	NUM
cana-3680	267	8	κ	κ	NOUN
cana-3680	267	9	)	)	PUNCT
cana-3680	267	10	]	]	PUNCT
cana-3680	268	1	∥	∥	PUNCT
cana-3680	268	2	sn	sn	INTJ
cana-3680	268	3	−w∗	−w∗	NOUN
cana-3680	268	4	∥	∥	NOUN
cana-3680	268	5	,	,	PUNCT
cana-3680	268	6	(	(	PUNCT
cana-3680	268	7	3.23	3.23	NUM
cana-3680	268	8	)	)	PUNCT
cana-3680	268	9	where	where	SCONJ
cana-3680	268	10	κ	κ	NOUN
cana-3680	268	11	=	=	PUNCT
cana-3680	268	12	√1−	√1−	NOUN
cana-3680	268	13	2δg	2δg	NOUN
cana-3680	269	1	+	+	CCONJ
cana-3680	269	2	λg	λg	NOUN
cana-3680	269	3	2	2	NUM
cana-3680	269	4	+	+	CCONJ
cana-3680	269	5	t1λp	t1λp	PUNCT
cana-3680	269	6	λg+t2	λg+t2	INTJ
cana-3680	269	7	λrλg+λλs+λλt	λrλg+λλs+λλt	NOUN
cana-3680	269	8	μα	μα	PROPN
cana-3680	269	9	2−γβ	2−γβ	NUM
cana-3680	269	10	2	2	NUM
cana-3680	269	11	.	.	PUNCT
cana-3680	270	1	by	by	ADP
cana-3680	270	2	(	(	PUNCT
cana-3680	270	3	3.22	3.22	NUM
cana-3680	270	4	)	)	PUNCT
cana-3680	270	5	,	,	PUNCT
cana-3680	270	6	(	(	PUNCT
cana-3680	270	7	3.2	3.2	NUM
cana-3680	270	8	)	)	PUNCT
cana-3680	270	9	becomes	become	VERB
cana-3680	270	10	∥	∥	NOUN
cana-3680	270	11	𝑠𝑛+1	𝑠𝑛+1	NUM
cana-3680	270	12	−𝑤	−𝑤	PROPN
cana-3680	270	13	∗	∗	NOUN
cana-3680	270	14	∥≤	∥≤	PROPN
cana-3680	270	15	𝜅[1	𝜅[1	NOUN
cana-3680	270	16	−𝜇𝑛(1−	−𝜇𝑛(1−	PROPN
cana-3680	270	17	𝜅	𝜅	NUM
cana-3680	270	18	)	)	PUNCT
cana-3680	270	19	]	]	PUNCT
cana-3680	271	1	∥	∥	X
cana-3680	271	2	𝑠𝑛	𝑠𝑛	NOUN
cana-3680	271	3	−𝑤	−𝑤	PROPN
cana-3680	271	4	∗	∗	NOUN
cana-3680	271	5	∥	∥	PUNCT
cana-3680	271	6	communications	communication	NOUN
cana-3680	271	7	on	on	ADP
cana-3680	271	8	applied	apply	VERB
cana-3680	271	9	nonlinear	nonlinear	ADJ
cana-3680	271	10	analysis	analysis	NOUN
cana-3680	271	11	issn	issn	NOUN
cana-3680	271	12	:	:	PUNCT
cana-3680	271	13	1074	1074	NUM
cana-3680	271	14	-	-	PUNCT
cana-3680	271	15	133x	133x	NUM
cana-3680	271	16	vol	vol	NOUN
cana-3680	271	17	32	32	NUM
cana-3680	271	18	no	no	NOUN
cana-3680	271	19	.	.	PUNCT
cana-3680	272	1	8s	8s	PROPN
cana-3680	272	2	(	(	PUNCT
cana-3680	272	3	2025	2025	NUM
cana-3680	272	4	)	)	PUNCT
cana-3680	272	5	354	354	NUM
cana-3680	272	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3680	272	7	inductively	inductively	ADV
cana-3680	272	8	,	,	PUNCT
cana-3680	272	9	we	we	PRON
cana-3680	272	10	have	have	VERB
cana-3680	272	11	∥	∥	X
cana-3680	272	12	𝑠𝑛+1	𝑠𝑛+1	NUM
cana-3680	272	13	−𝑤	−𝑤	PROPN
cana-3680	272	14	∗	∗	NOUN
cana-3680	272	15	∥≤	∥≤	PROPN
cana-3680	272	16	𝜅𝑛+1	𝜅𝑛+1	CCONJ
cana-3680	272	17	∏	∏	PROPN
cana-3680	272	18	𝑖=0	𝑖=0	PROPN
cana-3680	272	19	𝑛	𝑛	PROPN
cana-3680	273	1	[	[	X
cana-3680	273	2	1−	1−	NUM
cana-3680	273	3	𝜇𝑖(1−𝜅	𝜇𝑖(1−𝜅	ADJ
cana-3680	273	4	)	)	PUNCT
cana-3680	273	5	∥	∥	NOUN
cana-3680	273	6	𝑠0	𝑠0	NOUN
cana-3680	273	7	−	−	NOUN
cana-3680	273	8	𝑤	𝑤	ADP
cana-3680	273	9	∗	∗	NOUN
cana-3680	273	10	∥.	∥.	X
cana-3680	273	11	(	(	PUNCT
cana-3680	273	12	3.24	3.24	NUM
cana-3680	273	13	)	)	PUNCT
cana-3680	273	14	as	as	ADP
cana-3680	273	15	per	per	ADP
cana-3680	273	16	classical	classical	ADJ
cana-3680	273	17	analysis	analysis	NOUN
cana-3680	273	18	,	,	PUNCT
cana-3680	273	19	it	it	PRON
cana-3680	273	20	's	be	AUX
cana-3680	273	21	a	a	DET
cana-3680	273	22	widely	widely	ADV
cana-3680	273	23	recognized	recognize	VERB
cana-3680	273	24	fact	fact	NOUN
cana-3680	273	25	that	that	SCONJ
cana-3680	273	26	for	for	ADP
cana-3680	273	27	any	any	DET
cana-3680	273	28	value	value	NOUN
cana-3680	273	29	of	of	ADP
cana-3680	273	30	𝑎	𝑎	PRON
cana-3680	273	31	∈	∈	NOUN
cana-3680	273	32	[	[	X
cana-3680	273	33	0,1	0,1	NUM
cana-3680	273	34	]	]	PUNCT
cana-3680	273	35	,	,	PUNCT
cana-3680	273	36	the	the	DET
cana-3680	273	37	inequality	inequality	NOUN
cana-3680	273	38	1	1	NUM
cana-3680	273	39	−𝑎	−𝑎	NOUN
cana-3680	273	40	≤	≤	NUM
cana-3680	273	41	𝑒−𝑎	𝑒−𝑎	NOUN
cana-3680	273	42	holds	hold	VERB
cana-3680	273	43	true	true	ADJ
cana-3680	273	44	.	.	PUNCT
cana-3680	274	1	hence	hence	ADV
cana-3680	274	2	,	,	PUNCT
cana-3680	274	3	from	from	ADP
cana-3680	274	4	(	(	PUNCT
cana-3680	274	5	3.24	3.24	NUM
cana-3680	274	6	)	)	PUNCT
cana-3680	274	7	,	,	PUNCT
cana-3680	274	8	we	we	PRON
cana-3680	274	9	have	have	VERB
cana-3680	274	10	∥	∥	X
cana-3680	274	11	𝑠𝑛+1	𝑠𝑛+1	NUM
cana-3680	274	12	−𝑤	−𝑤	PROPN
cana-3680	274	13	∗	∗	NOUN
cana-3680	274	14	∥≤∥	∥≤∥	PROPN
cana-3680	274	15	𝑠0	𝑠0	NOUN
cana-3680	274	16	−𝑤	−𝑤	PROPN
cana-3680	274	17	∗	∗	X
cana-3680	274	18	∥	∥	NUM
cana-3680	274	19	𝜅𝑛+1𝑒−(1−𝜅)𝛴𝑖=1	𝜅𝑛+1𝑒−(1−𝜅)𝛴𝑖=1	VERB
cana-3680	274	20	𝑛	𝑛	PRON
cana-3680	274	21	𝜇𝑖	𝜇𝑖	ADP
cana-3680	274	22	.	.	PUNCT
cana-3680	275	1	(	(	PUNCT
cana-3680	275	2	3.25	3.25	NUM
cana-3680	275	3	)	)	PUNCT
cana-3680	275	4	it	it	PRON
cana-3680	275	5	follows	follow	VERB
cana-3680	275	6	that	that	SCONJ
cana-3680	275	7	from	from	ADP
cana-3680	275	8	the	the	DET
cana-3680	275	9	assumption	assumption	NOUN
cana-3680	275	10	∑	∑	PUNCT
cana-3680	275	11	𝜇𝑖	𝜇𝑖	ADP
cana-3680	275	12	∞	∞	PROPN
cana-3680	275	13	𝑖=0	𝑖=0	PUNCT
cana-3680	276	1	=	=	SYM
cana-3680	276	2	∞	∞	PROPN
cana-3680	276	3	that	that	PRON
cana-3680	276	4	𝑒−(1−𝜅)∑	𝑒−(1−𝜅)∑	NUM
cana-3680	276	5	𝜇𝑖	𝜇𝑖	ADP
cana-3680	276	6	𝑛	𝑛	PRON
cana-3680	276	7	𝑖=1	𝑖=1	PUNCT
cana-3680	276	8	→	→	SYM
cana-3680	276	9	0	0	PUNCT
cana-3680	276	10	as	as	ADP
cana-3680	276	11	𝑛	𝑛	PROPN
cana-3680	276	12	→	→	SYM
cana-3680	276	13	∞	∞	PROPN
cana-3680	276	14	,	,	PUNCT
cana-3680	276	15	which	which	PRON
cana-3680	276	16	implies	imply	VERB
cana-3680	276	17	that	that	SCONJ
cana-3680	276	18	𝑙𝑖𝑚	𝑙𝑖𝑚	VERB
cana-3680	276	19	𝑛→∞	𝑛→∞	NUM
cana-3680	276	20	‖𝑠𝑛	‖𝑠𝑛	PROPN
cana-3680	276	21	−	−	NOUN
cana-3680	276	22	𝑤	𝑤	ADP
cana-3680	276	23	∗‖	∗‖	PROPN
cana-3680	276	24	=	=	SYM
cana-3680	277	1	0	0	X
cana-3680	277	2	.	.	PUNCT
cana-3680	278	1	the	the	DET
cana-3680	278	2	underneath	underneath	NOUN
cana-3680	278	3	results	result	NOUN
cana-3680	278	4	shows	show	VERB
cana-3680	278	5	that	that	SCONJ
cana-3680	278	6	convergence	convergence	NOUN
cana-3680	278	7	rate	rate	NOUN
cana-3680	278	8	of	of	ADP
cana-3680	278	9	the	the	DET
cana-3680	278	10	sequences	sequence	NOUN
cana-3680	278	11	generated	generate	VERB
cana-3680	278	12	by	by	ADP
cana-3680	278	13	(	(	PUNCT
cana-3680	278	14	3.13	3.13	NUM
cana-3680	278	15	)	)	PUNCT
cana-3680	278	16	is	be	AUX
cana-3680	278	17	faster	fast	ADJ
cana-3680	278	18	than	than	ADP
cana-3680	278	19	(	(	PUNCT
cana-3680	278	20	3.2	3.2	NUM
cana-3680	278	21	)	)	PUNCT
cana-3680	278	22	.	.	PUNCT
cana-3680	279	1	therefore	therefore	ADV
cana-3680	279	2	,	,	PUNCT
cana-3680	279	3	this	this	DET
cana-3680	279	4	result	result	NOUN
cana-3680	279	5	has	have	VERB
cana-3680	279	6	a	a	DET
cana-3680	279	7	great	great	ADJ
cana-3680	279	8	importance	importance	NOUN
cana-3680	279	9	both	both	CCONJ
cana-3680	279	10	from	from	ADP
cana-3680	279	11	numerical	numerical	ADJ
cana-3680	279	12	and	and	CCONJ
cana-3680	279	13	theoretical	theoretical	ADJ
cana-3680	279	14	aspects	aspect	NOUN
cana-3680	279	15	.	.	PUNCT
cana-3680	280	1	theorem	theorem	VERB
cana-3680	280	2	3.4	3.4	NUM
cana-3680	280	3	.	.	PUNCT
cana-3680	281	1	let	let	VERB
cana-3680	281	2	ℋ	ℋ	PROPN
cana-3680	281	3	,	,	PUNCT
cana-3680	281	4	𝑆	𝑆	PROPN
cana-3680	281	5	,	,	PUNCT
cana-3680	281	6	𝑇	𝑇	PROPN
cana-3680	281	7	,	,	PUNCT
cana-3680	281	8	𝑁	𝑁	PROPN
cana-3680	281	9	,	,	PUNCT
cana-3680	281	10	𝐴	𝐴	PROPN
cana-3680	281	11	,	,	PUNCT
cana-3680	281	12	𝑔	𝑔	PROPN
cana-3680	281	13	,	,	PUNCT
cana-3680	281	14	𝜅	𝜅	PRON
cana-3680	281	15	and	and	CCONJ
cana-3680	281	16	𝑤∗	𝑤∗	PROPN
cana-3680	281	17	be	be	AUX
cana-3680	281	18	defined	define	VERB
cana-3680	281	19	as	as	ADP
cana-3680	281	20	theorem	theorem	VERB
cana-3680	281	21	3.3	3.3	NUM
cana-3680	281	22	and	and	CCONJ
cana-3680	281	23	suppose	suppose	VERB
cana-3680	281	24	{	{	PUNCT
cana-3680	281	25	𝜇𝑛	𝜇𝑛	PART
cana-3680	281	26	}	}	PUNCT
cana-3680	281	27	be	be	AUX
cana-3680	281	28	a	a	DET
cana-3680	281	29	sequence	sequence	NOUN
cana-3680	281	30	in	in	ADP
cana-3680	281	31	(	(	PUNCT
cana-3680	281	32	0,1	0,1	NOUN
cana-3680	281	33	)	)	PUNCT
cana-3680	281	34	such	such	ADJ
cana-3680	281	35	as	as	ADP
cana-3680	281	36	𝜇	𝜇	ADP
cana-3680	281	37	≤	≤	NUM
cana-3680	281	38	𝜇𝑛	𝜇𝑛	NOUN
cana-3680	281	39	for	for	SCONJ
cana-3680	281	40	all	all	DET
cana-3680	281	41	𝑛	𝑛	DET
cana-3680	281	42	∈	∈	NOUN
cana-3680	281	43	𝑁0	𝑁0	ADJ
cana-3680	281	44	and	and	CCONJ
cana-3680	281	45	for	for	ADP
cana-3680	281	46	some	some	DET
cana-3680	281	47	𝜇	𝜇	X
cana-3680	281	48	>	>	X
cana-3680	281	49	0	0	NUM
cana-3680	281	50	.	.	PUNCT
cana-3680	282	1	for	for	ADP
cana-3680	282	2	given	give	VERB
cana-3680	282	3	𝑤0	𝑤0	NOUN
cana-3680	282	4	=	=	NOUN
cana-3680	282	5	𝑠0	𝑠0	PROPN
cana-3680	282	6	∈	∈	PROPN
cana-3680	282	7	ℋ	ℋ	PROPN
cana-3680	282	8	,	,	PUNCT
cana-3680	282	9	let	let	VERB
cana-3680	282	10	{	{	PUNCT
cana-3680	282	11	𝑤𝑛	𝑤𝑛	VERB
cana-3680	282	12	}	}	PUNCT
cana-3680	282	13	and	and	CCONJ
cana-3680	282	14	{	{	PUNCT
cana-3680	282	15	𝑠𝑛	𝑠𝑛	NOUN
cana-3680	282	16	}	}	PUNCT
cana-3680	282	17	be	be	AUX
cana-3680	282	18	the	the	DET
cana-3680	282	19	iterative	iterative	NOUN
cana-3680	282	20	sequences	sequence	NOUN
cana-3680	282	21	generated	generate	VERB
cana-3680	282	22	by	by	ADP
cana-3680	282	23	(	(	PUNCT
cana-3680	282	24	3.2	3.2	NUM
cana-3680	282	25	)	)	PUNCT
cana-3680	282	26	and	and	CCONJ
cana-3680	282	27	(	(	PUNCT
cana-3680	282	28	3.12	3.12	NUM
cana-3680	282	29	)	)	PUNCT
cana-3680	282	30	,	,	PUNCT
cana-3680	282	31	respectively	respectively	ADV
cana-3680	282	32	.	.	PUNCT
cana-3680	283	1	then	then	ADV
cana-3680	283	2	,	,	PUNCT
cana-3680	283	3	the	the	DET
cana-3680	283	4	sequence	sequence	NOUN
cana-3680	283	5	{	{	PUNCT
cana-3680	283	6	𝑠𝑛	𝑠𝑛	NOUN
cana-3680	283	7	}	}	PUNCT
cana-3680	283	8	converges	converge	NOUN
cana-3680	283	9	to	to	PART
cana-3680	283	10	𝑤∗	𝑤∗	VERB
cana-3680	283	11	at	at	ADP
cana-3680	283	12	a	a	DET
cana-3680	283	13	rate	rate	NOUN
cana-3680	283	14	faster	fast	ADV
cana-3680	283	15	than	than	SCONJ
cana-3680	283	16	{	{	PUNCT
cana-3680	283	17	𝑤𝑛	𝑤𝑛	NOUN
cana-3680	283	18	}	}	PUNCT
cana-3680	283	19	does	do	VERB
cana-3680	283	20	.	.	PUNCT
cana-3680	284	1	proof	proof	NOUN
cana-3680	284	2	.	.	PUNCT
cana-3680	285	1	from	from	ADP
cana-3680	285	2	theorem	theorem	ADJ
cana-3680	285	3	3.1	3.1	NUM
cana-3680	285	4	,	,	PUNCT
cana-3680	285	5	we	we	PRON
cana-3680	285	6	have	have	AUX
cana-3680	285	7	‖𝑤𝑛	‖𝑤𝑛	NUM
cana-3680	285	8	−𝑤	−𝑤	PROPN
cana-3680	285	9	∗‖	∗‖	PROPN
cana-3680	285	10	≤	≤	PROPN
cana-3680	285	11	𝜅𝑛‖𝑤0	𝜅𝑛‖𝑤0	AUX
cana-3680	285	12	−𝑤	−𝑤	PROPN
cana-3680	285	13	∗‖.	∗‖.	PROPN
cana-3680	286	1	from	from	ADP
cana-3680	286	2	(	(	PUNCT
cana-3680	286	3	3.25	3.25	NUM
cana-3680	286	4	)	)	PUNCT
cana-3680	286	5	,	,	PUNCT
cana-3680	286	6	we	we	PRON
cana-3680	286	7	have	have	VERB
cana-3680	286	8	‖𝑠𝑛+1	‖𝑠𝑛+1	PUNCT
cana-3680	286	9	−𝑤	−𝑤	PROPN
cana-3680	286	10	∗‖	∗‖	PROPN
cana-3680	286	11	≤	≤	PROPN
cana-3680	286	12	𝜅𝑛+1	𝜅𝑛+1	CCONJ
cana-3680	286	13	∏[1−	∏[1−	X
cana-3680	286	14	(	(	PUNCT
cana-3680	286	15	1−𝜅)𝜇𝑖]‖𝑠0	1−𝜅)𝜇𝑖]‖𝑠0	NUM
cana-3680	286	16	−𝑤	−𝑤	PROPN
cana-3680	286	17	∗‖	∗‖	PROPN
cana-3680	286	18	𝑛	𝑛	PRON
cana-3680	286	19	𝑖=0	𝑖=0	PROPN
cana-3680	286	20	,	,	PUNCT
cana-3680	286	21	or	or	CCONJ
cana-3680	286	22	equivalently	equivalently	ADV
cana-3680	286	23	‖sn	‖sn	NUM
cana-3680	286	24	−w∗‖	−w∗‖	PROPN
cana-3680	286	25	≤	≤	NUM
cana-3680	286	26	κn	κn	NOUN
cana-3680	286	27	∏[1−	∏[1−	PUNCT
cana-3680	287	1	(	(	PUNCT
cana-3680	287	2	1	1	NUM
cana-3680	287	3	−	−	NOUN
cana-3680	287	4	κ)μ	κ)μ	VERB
cana-3680	288	1	i	i	PRON
cana-3680	288	2	]	]	X
cana-3680	288	3	‖s0	‖s0	NOUN
cana-3680	288	4	−	−	PROPN
cana-3680	288	5	w∗‖.	w∗‖.	PROPN
cana-3680	288	6	n−1	n−1	PROPN
cana-3680	288	7	i=0	i=0	PROPN
cana-3680	288	8	it	it	PRON
cana-3680	288	9	follows	follow	VERB
cana-3680	288	10	from	from	ADP
cana-3680	288	11	the	the	DET
cana-3680	288	12	assumption	assumption	NOUN
cana-3680	288	13	that	that	SCONJ
cana-3680	288	14	‖sn	‖sn	NUM
cana-3680	288	15	−w∗‖	−w∗‖	PROPN
cana-3680	288	16	≤	≤	NUM
cana-3680	288	17	κn	κn	ADP
cana-3680	288	18	∏	∏	PROPN
cana-3680	289	1	[	[	X
cana-3680	289	2	1	1	NUM
cana-3680	289	3	−	−	PROPN
cana-3680	289	4	(	(	PUNCT
cana-3680	289	5	1−	1−	NUM
cana-3680	289	6	κ)μ	κ)μ	X
cana-3680	289	7	i	i	PRON
cana-3680	289	8	]	]	PUNCT
cana-3680	289	9	n	n	CCONJ
cana-3680	289	10	i=1	i=1	X
cana-3680	289	11	‖s0	‖s0	VERB
cana-3680	289	12	−w∗‖	−w∗‖	ADP
cana-3680	290	1	=	=	SYM
cana-3680	291	1	κn[1−	κn[1−	CCONJ
cana-3680	291	2	(	(	PUNCT
cana-3680	291	3	1	1	NUM
cana-3680	291	4	−	−	VERB
cana-3680	291	5	κ)μ]n‖s0	κ)μ]n‖s0	PROPN
cana-3680	291	6	−w∗‖.	−w∗‖.	PROPN
cana-3680	291	7	set	set	VERB
cana-3680	291	8	𝛼𝑛	𝛼𝑛	VERB
cana-3680	291	9	=	=	PUNCT
cana-3680	291	10	𝜅	𝜅	PROPN
cana-3680	291	11	𝑛[1	𝑛[1	PROPN
cana-3680	291	12	−	−	PROPN
cana-3680	291	13	(	(	PUNCT
cana-3680	291	14	1−	1−	NUM
cana-3680	291	15	𝜅)𝜇]𝑛‖𝑠0	𝜅)𝜇]𝑛‖𝑠0	PROPN
cana-3680	291	16	−𝑤	−𝑤	PROPN
cana-3680	291	17	∗‖	∗‖	PROPN
cana-3680	291	18	,	,	PUNCT
cana-3680	291	19	𝜃𝑛	𝜃𝑛	PRON
cana-3680	291	20	=	=	PUNCT
cana-3680	291	21	𝜅𝑛‖𝑢0	𝜅𝑛‖𝑢0	PROPN
cana-3680	292	1	−𝑤	−𝑤	PROPN
cana-3680	292	2	∗‖.	∗‖.	PROPN
cana-3680	292	3	given	give	VERB
cana-3680	292	4	that	that	DET
cana-3680	292	5	𝑙𝑖𝑚	𝑙𝑖𝑚	VERB
cana-3680	292	6	𝑛→∞	𝑛→∞	NOUN
cana-3680	293	1	𝛩𝑛	𝛩𝑛	NOUN
cana-3680	293	2	=	=	NOUN
cana-3680	293	3	0	0	NUM
cana-3680	293	4	,	,	PUNCT
cana-3680	293	5	𝑙𝑖𝑚	𝑙𝑖𝑚	VERB
cana-3680	293	6	𝑛→∞	𝑛→∞	NUM
cana-3680	293	7	𝛼𝑛	𝛼𝑛	X
cana-3680	293	8	=	=	SYM
cana-3680	293	9	0	0	NUM
cana-3680	294	1	and	and	CCONJ
cana-3680	294	2	𝑙𝑖𝑚𝜃𝑛	𝑙𝑖𝑚𝜃𝑛	NOUN
cana-3680	294	3	=	=	SYM
cana-3680	294	4	0	0	NUM
cana-3680	294	5	,	,	PUNCT
cana-3680	294	6	which	which	PRON
cana-3680	294	7	means	mean	VERB
cana-3680	294	8	that	that	SCONJ
cana-3680	294	9	both	both	DET
cana-3680	294	10	sequences	sequence	NOUN
cana-3680	294	11	{	{	PUNCT
cana-3680	294	12	𝛼𝑛	𝛼𝑛	PROPN
cana-3680	294	13	}	}	PUNCT
cana-3680	294	14	and	and	CCONJ
cana-3680	294	15	{	{	PUNCT
cana-3680	294	16	𝜃𝑛	𝜃𝑛	NOUN
cana-3680	294	17	}	}	PUNCT
cana-3680	294	18	converge	converge	VERB
cana-3680	294	19	to	to	ADP
cana-3680	294	20	zero	zero	NUM
cana-3680	294	21	,	,	PUNCT
cana-3680	294	22	as	as	SCONJ
cana-3680	294	23	stipulated	stipulate	VERB
cana-3680	294	24	in	in	ADP
cana-3680	294	25	definition	definition	NOUN
cana-3680	294	26	3.2	3.2	NUM
cana-3680	294	27	.	.	PUNCT
cana-3680	295	1	define	define	VERB
cana-3680	295	2	πn	πn	INTJ
cana-3680	295	3	=	=	PUNCT
cana-3680	295	4	αn	αn	NOUN
cana-3680	295	5	−	−	PROPN
cana-3680	295	6	0	0	NUM
cana-3680	295	7	θn	θn	NOUN
cana-3680	295	8	−	−	NOUN
cana-3680	295	9	0	0	NUM
cana-3680	296	1	=	=	SYM
cana-3680	296	2	κn[1−	κn[1−	PRON
cana-3680	296	3	(	(	PUNCT
cana-3680	296	4	1−	1−	NUM
cana-3680	296	5	κ)μ]n‖s0	κ)μ]n‖s0	ADV
cana-3680	296	6	−	−	PROPN
cana-3680	297	1	w∗‖	w∗‖	PROPN
cana-3680	297	2	κn‖u0	κn‖u0	PROPN
cana-3680	298	1	−	−	PROPN
cana-3680	299	1	w∗‖	w∗‖	PROPN
cana-3680	299	2	communications	communication	NOUN
cana-3680	299	3	on	on	ADP
cana-3680	299	4	applied	apply	VERB
cana-3680	299	5	nonlinear	nonlinear	ADJ
cana-3680	299	6	analysis	analysis	NOUN
cana-3680	299	7	issn	issn	NOUN
cana-3680	299	8	:	:	PUNCT
cana-3680	299	9	1074	1074	NUM
cana-3680	299	10	-	-	PUNCT
cana-3680	299	11	133x	133x	NUM
cana-3680	299	12	vol	vol	NOUN
cana-3680	299	13	32	32	NUM
cana-3680	299	14	no	no	NOUN
cana-3680	299	15	.	.	PUNCT
cana-3680	300	1	8s	8s	PROPN
cana-3680	300	2	(	(	PUNCT
cana-3680	300	3	2025	2025	NUM
cana-3680	300	4	)	)	PUNCT
cana-3680	300	5	355	355	NUM
cana-3680	300	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3680	300	7	=	=	PUNCT
cana-3680	301	1	[	[	X
cana-3680	301	2	1−	1−	NUM
cana-3680	301	3	(	(	PUNCT
cana-3680	301	4	1−	1−	NUM
cana-3680	301	5	κ)μ]n	κ)μ]n	NOUN
cana-3680	301	6	.	.	PUNCT
cana-3680	302	1	note	note	VERB
cana-3680	302	2	that	that	SCONJ
cana-3680	302	3	1	1	NUM
cana-3680	302	4	−	−	PROPN
cana-3680	302	5	(	(	PUNCT
cana-3680	302	6	1−	1−	NUM
cana-3680	302	7	𝜅)𝜇	𝜅)𝜇	NOUN
cana-3680	302	8	∈	∈	PROPN
cana-3680	302	9	(	(	PUNCT
cana-3680	302	10	0,1	0,1	NUM
cana-3680	302	11	)	)	PUNCT
cana-3680	302	12	.	.	PUNCT
cana-3680	303	1	this	this	PRON
cana-3680	303	2	allows	allow	VERB
cana-3680	303	3	us	we	PRON
cana-3680	303	4	to	to	PART
cana-3680	303	5	conclude	conclude	VERB
cana-3680	303	6	that	that	SCONJ
cana-3680	303	7	lim	lim	PROPN
cana-3680	303	8	n→∞	n→∞	X
cana-3680	304	1	πn	πn	ADP
cana-3680	304	2	=	=	SYM
cana-3680	304	3	lim	lim	PROPN
cana-3680	304	4	αn	αn	NOUN
cana-3680	305	1	−	−	PROPN
cana-3680	305	2	0	0	NUM
cana-3680	305	3	θn	θn	NOUN
cana-3680	305	4	−	−	NOUN
cana-3680	305	5	0	0	NUM
cana-3680	306	1	=	=	SYM
cana-3680	306	2	0	0	PUNCT
cana-3680	307	1	thus	thus	ADV
cana-3680	307	2	,	,	PUNCT
cana-3680	307	3	according	accord	VERB
cana-3680	307	4	to	to	ADP
cana-3680	307	5	definition	definition	NOUN
cana-3680	307	6	3.1(a	3.1(a	NUM
cana-3680	307	7	)	)	PUNCT
cana-3680	307	8	,	,	PUNCT
cana-3680	307	9	we	we	PRON
cana-3680	307	10	can	can	AUX
cana-3680	307	11	infer	infer	VERB
cana-3680	307	12	that	that	SCONJ
cana-3680	307	13	the	the	DET
cana-3680	307	14	convergence	convergence	NOUN
cana-3680	307	15	of	of	ADP
cana-3680	307	16	{	{	PUNCT
cana-3680	307	17	𝛼𝑛	𝛼𝑛	PROPN
cana-3680	307	18	}	}	PUNCT
cana-3680	307	19	is	be	AUX
cana-3680	307	20	faster	fast	ADJ
cana-3680	307	21	than	than	ADP
cana-3680	307	22	that	that	PRON
cana-3680	307	23	of	of	ADP
cana-3680	307	24	{	{	PUNCT
cana-3680	307	25	𝜃𝑛	𝜃𝑛	NOUN
cana-3680	307	26	}	}	PUNCT
cana-3680	307	27	,	,	PUNCT
cana-3680	307	28	and	and	CCONJ
cana-3680	307	29	as	as	ADP
cana-3680	307	30	a	a	DET
cana-3680	307	31	consequence	consequence	NOUN
cana-3680	307	32	,	,	PUNCT
cana-3680	307	33	{	{	PUNCT
cana-3680	307	34	𝑠𝑛	𝑠𝑛	NOUN
cana-3680	307	35	}	}	PUNCT
cana-3680	307	36	converges	converge	VERB
cana-3680	307	37	faster	fast	ADV
cana-3680	307	38	than	than	ADP
cana-3680	307	39	{	{	PUNCT
cana-3680	307	40	𝑤𝑛	𝑤𝑛	NOUN
cana-3680	307	41	}	}	PUNCT
cana-3680	307	42	.	.	PUNCT
cana-3680	308	1	in	in	ADP
cana-3680	308	2	theorem	theorem	ADJ
cana-3680	308	3	3.3	3.3	NUM
cana-3680	308	4	,	,	PUNCT
cana-3680	308	5	we	we	PRON
cana-3680	308	6	have	have	AUX
cana-3680	308	7	discussed	discuss	VERB
cana-3680	308	8	that	that	SCONJ
cana-3680	308	9	𝑆-iteration	𝑆-iteration	PROPN
cana-3680	308	10	algorithm	algorithm	NOUN
cana-3680	308	11	(	(	PUNCT
cana-3680	308	12	3.13	3.13	NUM
cana-3680	308	13	)	)	PUNCT
cana-3680	308	14	is	be	AUX
cana-3680	308	15	a	a	DET
cana-3680	308	16	better	well	ADJ
cana-3680	308	17	algorithm	algorithm	NOUN
cana-3680	308	18	with	with	ADP
cana-3680	308	19	a	a	DET
cana-3680	308	20	more	more	ADV
cana-3680	308	21	efficient	efficient	ADJ
cana-3680	308	22	convergence	convergence	NOUN
cana-3680	308	23	rate	rate	NOUN
cana-3680	308	24	.	.	PUNCT
cana-3680	309	1	now	now	ADV
cana-3680	309	2	,	,	PUNCT
cana-3680	309	3	we	we	PRON
cana-3680	309	4	establish	establish	VERB
cana-3680	309	5	new	new	ADJ
cana-3680	309	6	convergence	convergence	NOUN
cana-3680	309	7	implications	implication	NOUN
cana-3680	309	8	between	between	ADP
cana-3680	309	9	iterative	iterative	NOUN
cana-3680	309	10	sequences	sequence	NOUN
cana-3680	309	11	generated	generate	VERB
cana-3680	309	12	by	by	ADP
cana-3680	309	13	(	(	PUNCT
cana-3680	309	14	3.3	3.3	NUM
cana-3680	309	15	)	)	PUNCT
cana-3680	309	16	and	and	CCONJ
cana-3680	309	17	(	(	PUNCT
cana-3680	309	18	3.15	3.15	NUM
cana-3680	309	19	)	)	PUNCT
cana-3680	309	20	.	.	PUNCT
cana-3680	310	1	theorem	theorem	VERB
cana-3680	310	2	3.5	3.5	NUM
cana-3680	310	3	.	.	PUNCT
cana-3680	311	1	let	let	VERB
cana-3680	311	2	ℋ	ℋ	PROPN
cana-3680	311	3	,	,	PUNCT
cana-3680	311	4	𝑆	𝑆	PROPN
cana-3680	311	5	,	,	PUNCT
cana-3680	311	6	𝑇	𝑇	PROPN
cana-3680	311	7	,	,	PUNCT
cana-3680	311	8	𝑁	𝑁	PROPN
cana-3680	311	9	,	,	PUNCT
cana-3680	311	10	𝐴	𝐴	PROPN
cana-3680	311	11	,	,	PUNCT
cana-3680	311	12	𝑔	𝑔	PROPN
cana-3680	311	13	,	,	PUNCT
cana-3680	311	14	𝜅	𝜅	PRON
cana-3680	311	15	and	and	CCONJ
cana-3680	311	16	𝑤∗	𝑤∗	PROPN
cana-3680	311	17	be	be	AUX
cana-3680	311	18	defined	define	VERB
cana-3680	311	19	as	as	ADP
cana-3680	311	20	theorem	theorem	VERB
cana-3680	311	21	3.3	3.3	NUM
cana-3680	311	22	and	and	CCONJ
cana-3680	311	23	suppose	suppose	VERB
cana-3680	311	24	{	{	PUNCT
cana-3680	311	25	𝑞𝑛	𝑞𝑛	NOUN
cana-3680	311	26	}	}	PUNCT
cana-3680	311	27	and	and	CCONJ
cana-3680	311	28	{	{	PUNCT
cana-3680	311	29	𝑠𝑛	𝑠𝑛	NOUN
cana-3680	311	30	}	}	PUNCT
cana-3680	311	31	be	be	AUX
cana-3680	311	32	iterative	iterative	ADJ
cana-3680	311	33	sequences	sequence	NOUN
cana-3680	311	34	generated	generate	VERB
cana-3680	311	35	by	by	ADP
cana-3680	311	36	(	(	PUNCT
cana-3680	311	37	2.4	2.4	NUM
cana-3680	311	38	)	)	PUNCT
cana-3680	311	39	and	and	CCONJ
cana-3680	311	40	(	(	PUNCT
cana-3680	311	41	3.1	3.1	NUM
cana-3680	311	42	)	)	PUNCT
cana-3680	311	43	,	,	PUNCT
cana-3680	311	44	respectively	respectively	ADV
cana-3680	311	45	,	,	PUNCT
cana-3680	311	46	with	with	ADP
cana-3680	311	47	the	the	DET
cana-3680	311	48	sequences	sequence	NOUN
cana-3680	311	49	{	{	PUNCT
cana-3680	311	50	𝜉𝑛	𝜉𝑛	X
cana-3680	311	51	}	}	PUNCT
cana-3680	311	52	and	and	CCONJ
cana-3680	311	53	{	{	PUNCT
cana-3680	311	54	𝜇𝑛	𝜇𝑛	NOUN
cana-3680	311	55	}	}	PUNCT
cana-3680	311	56	in	in	ADP
cana-3680	311	57	⊂	⊂	PROPN
cana-3680	311	58	(	(	PUNCT
cana-3680	311	59	0,1	0,1	NUM
cana-3680	311	60	)	)	PUNCT
cana-3680	311	61	.	.	PUNCT
cana-3680	312	1	then	then	ADV
cana-3680	312	2	the	the	DET
cana-3680	312	3	subsequent	subsequent	ADJ
cana-3680	312	4	claims	claim	NOUN
cana-3680	312	5	are	be	AUX
cana-3680	312	6	applicable	applicable	ADJ
cana-3680	312	7	:	:	PUNCT
cana-3680	312	8	a	a	X
cana-3680	312	9	)	)	PUNCT
cana-3680	312	10	if	if	SCONJ
cana-3680	312	11	{	{	PUNCT
cana-3680	312	12	1−𝜉𝑛	1−𝜉𝑛	NUM
cana-3680	312	13	𝜇𝑛	𝜇𝑛	NOUN
cana-3680	312	14	}	}	PUNCT
cana-3680	312	15	is	be	AUX
cana-3680	312	16	bounded	bound	VERB
cana-3680	312	17	,	,	PUNCT
cana-3680	312	18	∑	∑	ADP
cana-3680	312	19	𝜇𝑛	𝜇𝑛	PROPN
cana-3680	312	20	∞	∞	NUM
cana-3680	312	21	𝑛=0	𝑛=0	PROPN
cana-3680	312	22	=	=	PUNCT
cana-3680	312	23	∞	∞	PROPN
cana-3680	312	24	and	and	CCONJ
cana-3680	312	25	{	{	PUNCT
cana-3680	312	26	𝑞𝑛	𝑞𝑛	NOUN
cana-3680	312	27	}	}	PUNCT
cana-3680	312	28	converges	converge	VERB
cana-3680	312	29	strongly	strongly	ADV
cana-3680	312	30	to	to	PART
cana-3680	312	31	𝑤∗	𝑤∗	PROPN
cana-3680	312	32	,	,	PUNCT
cana-3680	312	33	then	then	ADV
cana-3680	312	34	{	{	PUNCT
cana-3680	312	35	𝑠𝑛	𝑠𝑛	NOUN
cana-3680	312	36	−	−	PROPN
cana-3680	312	37	𝑞𝑛	𝑞𝑛	PROPN
cana-3680	312	38	}	}	PUNCT
cana-3680	312	39	converges	converge	VERB
cana-3680	312	40	strongly	strongly	ADV
cana-3680	312	41	to	to	ADP
cana-3680	312	42	0	0	NUM
cana-3680	312	43	with	with	ADP
cana-3680	312	44	the	the	DET
cana-3680	312	45	following	follow	VERB
cana-3680	312	46	estimate	estimate	NOUN
cana-3680	312	47	:	:	PUNCT
cana-3680	312	48	‖𝑞𝑛+1	‖𝑞𝑛+1	ADP
cana-3680	312	49	−	−	NOUN
cana-3680	312	50	𝑠𝑛+1	𝑠𝑛+1	SYM
cana-3680	312	51	‖	‖	PROPN
cana-3680	312	52	≤	≤	NOUN
cana-3680	312	53	𝜅[1−	𝜅[1−	PUNCT
cana-3680	312	54	(	(	PUNCT
cana-3680	312	55	1−	1−	NUM
cana-3680	312	56	𝜅)𝜇𝑛]‖𝑞𝑛	𝜅)𝜇𝑛]‖𝑞𝑛	NOUN
cana-3680	312	57	−	−	PROPN
cana-3680	312	58	𝑠𝑛‖	𝑠𝑛‖	PROPN
cana-3680	312	59	+	+	SYM
cana-3680	312	60	(	(	PUNCT
cana-3680	312	61	1−	1−	NUM
cana-3680	312	62	𝜉𝑛){1	𝜉𝑛){1	NOUN
cana-3680	312	63	+	+	NOUN
cana-3680	312	64	𝜅}‖𝑞𝑛	𝜅}‖𝑞𝑛	NOUN
cana-3680	312	65	−𝑤	−𝑤	PROPN
cana-3680	312	66	∗‖,∀𝑛	∗‖,∀𝑛	VERB
cana-3680	312	67	∈	∈	PROPN
cana-3680	312	68	𝑁0	𝑁0	X
cana-3680	312	69	,	,	PUNCT
cana-3680	312	70	and	and	CCONJ
cana-3680	312	71	{	{	PUNCT
cana-3680	312	72	𝑠𝑛	𝑠𝑛	NOUN
cana-3680	312	73	}	}	PUNCT
cana-3680	312	74	converges	converge	VERB
cana-3680	312	75	strongly	strongly	ADV
cana-3680	312	76	to	to	ADP
cana-3680	312	77	𝑤∗.	𝑤∗.	SYM
cana-3680	312	78	b	b	NOUN
cana-3680	312	79	)	)	PUNCT
cana-3680	312	80	if	if	SCONJ
cana-3680	312	81	{	{	PUNCT
cana-3680	312	82	1−𝜉𝑛	1−𝜉𝑛	NUM
cana-3680	312	83	𝜇𝑛𝜉𝑛	𝜇𝑛𝜉𝑛	NOUN
cana-3680	312	84	}	}	PUNCT
cana-3680	312	85	is	be	AUX
cana-3680	312	86	bounded	bound	VERB
cana-3680	312	87	and	and	CCONJ
cana-3680	312	88	∑	∑	ADP
cana-3680	312	89	𝜉𝑛𝜇𝑛	𝜉𝑛𝜇𝑛	NOUN
cana-3680	312	90	∞	∞	NUM
cana-3680	312	91	𝑛=0	𝑛=0	PROPN
cana-3680	312	92	=	=	SYM
cana-3680	312	93	∞	∞	PROPN
cana-3680	312	94	,	,	PUNCT
cana-3680	312	95	then	then	ADV
cana-3680	312	96	{	{	PUNCT
cana-3680	312	97	𝑠𝑛	𝑠𝑛	NOUN
cana-3680	312	98	−	−	PROPN
cana-3680	312	99	𝑞𝑛	𝑞𝑛	PROPN
cana-3680	312	100	}	}	PUNCT
cana-3680	312	101	converges	converge	VERB
cana-3680	312	102	strongly	strongly	ADV
cana-3680	312	103	to	to	ADP
cana-3680	312	104	0	0	NUM
cana-3680	312	105	with	with	ADP
cana-3680	312	106	the	the	DET
cana-3680	312	107	following	follow	VERB
cana-3680	312	108	estimate	estimate	NOUN
cana-3680	312	109	:	:	PUNCT
cana-3680	312	110	‖q	‖q	NOUN
cana-3680	312	111	n+1	n+1	NUM
cana-3680	313	1	−	−	PROPN
cana-3680	313	2	sn+1‖	sn+1‖	PROPN
cana-3680	313	3	≤	≤	NOUN
cana-3680	314	1	[	[	X
cana-3680	314	2	1−	1−	NUM
cana-3680	314	3	(	(	PUNCT
cana-3680	314	4	1−	1−	NUM
cana-3680	314	5	κ)ξ	κ)ξ	X
cana-3680	314	6	n	n	PROPN
cana-3680	314	7	μ	μ	PROPN
cana-3680	314	8	n	n	X
cana-3680	314	9	]	]	X
cana-3680	314	10	‖sn	‖sn	NUM
cana-3680	314	11	−	−	PROPN
cana-3680	314	12	q	q	NOUN
cana-3680	314	13	n	n	X
cana-3680	314	14	‖	‖	PROPN
cana-3680	314	15	+	+	CCONJ
cana-3680	314	16	(	(	PUNCT
cana-3680	314	17	1	1	NUM
cana-3680	314	18	+	+	NUM
cana-3680	314	19	κ)(1−	κ)(1−	PROPN
cana-3680	314	20	ξ	ξ	PROPN
cana-3680	314	21	n	n	X
cana-3680	314	22	)	)	PUNCT
cana-3680	314	23	‖sn	‖sn	PROPN
cana-3680	314	24	−w∗‖,∀n	−w∗‖,∀n	NOUN
cana-3680	314	25	∈	∈	PROPN
cana-3680	314	26	n0	n0	PROPN
cana-3680	314	27	and	and	CCONJ
cana-3680	314	28	{	{	PUNCT
cana-3680	314	29	𝑞𝑛	𝑞𝑛	NOUN
cana-3680	314	30	}	}	PUNCT
cana-3680	314	31	converges	converge	VERB
cana-3680	314	32	strongly	strongly	ADV
cana-3680	314	33	to	to	ADP
cana-3680	314	34	𝑤∗.	𝑤∗.	NOUN
cana-3680	314	35	proof	proof	NOUN
cana-3680	314	36	.	.	PUNCT
cana-3680	315	1	a	a	PRON
cana-3680	315	2	)	)	PUNCT
cana-3680	315	3	suppose	suppose	VERB
cana-3680	315	4	that	that	SCONJ
cana-3680	315	5	{	{	PUNCT
cana-3680	315	6	1−𝜉𝑛	1−𝜉𝑛	NUM
cana-3680	315	7	𝜇𝑛	𝜇𝑛	PROPN
cana-3680	315	8	‖	‖	PROPN
cana-3680	315	9	is	be	AUX
cana-3680	315	10	bounded	bound	VERB
cana-3680	315	11	,	,	PUNCT
cana-3680	315	12	∑	∑	ADP
cana-3680	315	13	𝜇𝑛	𝜇𝑛	PROPN
cana-3680	315	14	∞	∞	NUM
cana-3680	315	15	𝑛=0	𝑛=0	PROPN
cana-3680	315	16	=	=	PUNCT
cana-3680	316	1	∞	∞	PROPN
cana-3680	316	2	and	and	CCONJ
cana-3680	316	3	{	{	PUNCT
cana-3680	316	4	𝑞𝑛	𝑞𝑛	NOUN
cana-3680	316	5	}	}	PUNCT
cana-3680	316	6	converges	converge	VERB
cana-3680	316	7	strongly	strongly	ADV
cana-3680	316	8	to	to	ADP
cana-3680	316	9	𝑤∗.	𝑤∗.	NOUN
cana-3680	316	10	we	we	PRON
cana-3680	316	11	show	show	VERB
cana-3680	316	12	that	that	SCONJ
cana-3680	316	13	{	{	PUNCT
cana-3680	316	14	𝑠𝑛	𝑠𝑛	NOUN
cana-3680	316	15	−𝑞𝑛	−𝑞𝑛	PROPN
cana-3680	316	16	}	}	PUNCT
cana-3680	316	17	converges	converge	VERB
cana-3680	316	18	strongly	strongly	ADV
cana-3680	316	19	to	to	ADP
cana-3680	316	20	0	0	NUM
cana-3680	316	21	.	.	PUNCT
cana-3680	317	1	it	it	PRON
cana-3680	317	2	derives	derive	VERB
cana-3680	317	3	from	from	ADP
cana-3680	317	4	(	(	PUNCT
cana-3680	317	5	3.3	3.3	NUM
cana-3680	317	6	)	)	PUNCT
cana-3680	317	7	,	,	PUNCT
cana-3680	317	8	(	(	PUNCT
cana-3680	317	9	3.6	3.6	NUM
cana-3680	317	10	)	)	PUNCT
cana-3680	317	11	,	,	PUNCT
cana-3680	317	12	(	(	PUNCT
cana-3680	317	13	3.7	3.7	NUM
cana-3680	317	14	)	)	PUNCT
cana-3680	317	15	and	and	CCONJ
cana-3680	317	16	(	(	PUNCT
cana-3680	317	17	3.15	3.15	NUM
cana-3680	317	18	)	)	PUNCT
cana-3680	318	1	that	that	PRON
cana-3680	318	2	∥	∥	X
cana-3680	319	1	𝑞𝑛+1	𝑞𝑛+1	NUM
cana-3680	320	1	−	−	NOUN
cana-3680	320	2	𝑠𝑛+1	𝑠𝑛+1	NUM
cana-3680	320	3	∥	∥	X
cana-3680	320	4	=	=	NOUN
cana-3680	320	5	∥	∥	X
cana-3680	320	6	(	(	PUNCT
cana-3680	320	7	1−	1−	NUM
cana-3680	320	8	𝜉𝑛)𝑞𝑛	𝜉𝑛)𝑞𝑛	NUM
cana-3680	320	9	+	+	CCONJ
cana-3680	320	10	𝜉𝑛	𝜉𝑛	X
cana-3680	321	1	[	[	X
cana-3680	321	2	𝑟𝑛	𝑟𝑛	ADJ
cana-3680	321	3	−𝑔(𝑟𝑛	−𝑔(𝑟𝑛	NOUN
cana-3680	321	4	)	)	PUNCT
cana-3680	322	1	+	+	CCONJ
cana-3680	322	2	𝐽𝜆	𝐽𝜆	ADV
cana-3680	322	3	,	,	PUNCT
cana-3680	322	4	𝑁	𝑁	PROPN
cana-3680	322	5	𝐴(.,.)[𝐴(𝑃𝑜𝑔(𝑟𝑛),𝑅𝑜𝑔(𝑟𝑛))−	𝐴(.,.)[𝐴(𝑃𝑜𝑔(𝑟𝑛),𝑅𝑜𝑔(𝑟𝑛))−	NOUN
cana-3680	322	6	𝜆(𝑆(𝑟𝑛	𝜆(𝑆(𝑟𝑛	NOUN
cana-3680	322	7	)	)	PUNCT
cana-3680	323	1	−	−	PROPN
cana-3680	323	2	𝑇(𝑟𝑛	𝑇(𝑟𝑛	NOUN
cana-3680	323	3	)	)	PUNCT
cana-3680	323	4	)	)	PUNCT
cana-3680	324	1	+	+	ADV
cana-3680	324	2	𝜆𝜌	𝜆𝜌	X
cana-3680	324	3	]	]	X
cana-3680	324	4	]	]	X
cana-3680	324	5	−	−	X
cana-3680	324	6	𝑡𝑛	𝑡𝑛	NOUN
cana-3680	324	7	−𝑔(𝑡𝑛	−𝑔(𝑡𝑛	NOUN
cana-3680	324	8	)	)	PUNCT
cana-3680	325	1	+	+	CCONJ
cana-3680	325	2	𝐽𝜆	𝐽𝜆	ADV
cana-3680	325	3	,	,	PUNCT
cana-3680	325	4	𝑁	𝑁	PROPN
cana-3680	325	5	𝐴	𝐴	PROPN
cana-3680	325	6	(	(	PUNCT
cana-3680	325	7	.	.	PUNCT
cana-3680	325	8	,	,	PUNCT
cana-3680	325	9	.	.	PUNCT
cana-3680	325	10	)	)	PUNCT
cana-3680	326	1	[	[	X
cana-3680	326	2	𝐴(𝑃𝑜𝑔(𝑡𝑛),𝑅𝑜𝑔(𝑡𝑛))−	𝐴(𝑃𝑜𝑔(𝑡𝑛),𝑅𝑜𝑔(𝑡𝑛))−	PROPN
cana-3680	326	3	𝜆(𝑆(𝑡𝑛	𝜆(𝑆(𝑡𝑛	PROPN
cana-3680	326	4	)	)	PUNCT
cana-3680	327	1	−	−	ADP
cana-3680	327	2	𝑇(𝑡𝑛))+	𝑇(𝑡𝑛))+	NOUN
cana-3680	327	3	𝜆𝜌	𝜆𝜌	X
cana-3680	327	4	]	]	X
cana-3680	327	5	∥	∥	X
cana-3680	327	6	=	=	SYM
cana-3680	327	7	∥	∥	X
cana-3680	327	8	(	(	PUNCT
cana-3680	327	9	1−	1−	NUM
cana-3680	327	10	𝜉𝑛)𝑞𝑛	𝜉𝑛)𝑞𝑛	NUM
cana-3680	327	11	+	+	CCONJ
cana-3680	327	12	𝜉𝑛	𝜉𝑛	X
cana-3680	327	13	[	[	X
cana-3680	327	14	𝑟𝑛	𝑟𝑛	ADJ
cana-3680	327	15	−𝑔(𝑟𝑛	−𝑔(𝑟𝑛	NOUN
cana-3680	327	16	)	)	PUNCT
cana-3680	328	1	+	+	CCONJ
cana-3680	328	2	𝐽𝜆	𝐽𝜆	ADV
cana-3680	328	3	,	,	PUNCT
cana-3680	328	4	𝑁	𝑁	PROPN
cana-3680	328	5	𝐴	𝐴	PROPN
cana-3680	328	6	(	(	PUNCT
cana-3680	328	7	.	.	PUNCT
cana-3680	328	8	,	,	PUNCT
cana-3680	328	9	.	.	PUNCT
cana-3680	328	10	)	)	PUNCT
cana-3680	329	1	[	[	X
cana-3680	329	2	𝐴(𝑃𝑜𝑔(𝑟𝑛),𝑅𝑜𝑔(𝑟𝑛))−	𝐴(𝑃𝑜𝑔(𝑟𝑛),𝑅𝑜𝑔(𝑟𝑛))−	NOUN
cana-3680	329	3	𝜆(𝑆(𝑟𝑛	𝜆(𝑆(𝑟𝑛	NOUN
cana-3680	329	4	)	)	PUNCT
cana-3680	329	5	−	−	PROPN
cana-3680	329	6	𝑇(𝑟𝑛	𝑇(𝑟𝑛	NOUN
cana-3680	329	7	)	)	PUNCT
cana-3680	329	8	)	)	PUNCT
cana-3680	330	1	+	+	ADV
cana-3680	330	2	𝜆𝜌	𝜆𝜌	X
cana-3680	330	3	]	]	X
cana-3680	330	4	]	]	X
cana-3680	330	5	−	−	PROPN
cana-3680	331	1	[	[	X
cana-3680	331	2	𝑟𝑛	𝑟𝑛	INTJ
cana-3680	331	3	−	−	NOUN
cana-3680	331	4	𝑔(𝑟𝑛	𝑔(𝑟𝑛	NUM
cana-3680	331	5	)	)	PUNCT
cana-3680	332	1	+	+	CCONJ
cana-3680	332	2	𝐽𝜆	𝐽𝜆	ADV
cana-3680	332	3	,	,	PUNCT
cana-3680	332	4	𝑁	𝑁	PROPN
cana-3680	332	5	𝐴	𝐴	PROPN
cana-3680	332	6	(	(	PUNCT
cana-3680	332	7	.	.	PUNCT
cana-3680	332	8	,	,	PUNCT
cana-3680	332	9	.	.	PUNCT
cana-3680	332	10	)	)	PUNCT
cana-3680	333	1	[	[	X
cana-3680	333	2	𝐴(𝑃𝑜𝑔(𝑟𝑛),𝑅𝑜𝑔(𝑟𝑛	𝐴(𝑃𝑜𝑔(𝑟𝑛),𝑅𝑜𝑔(𝑟𝑛	NOUN
cana-3680	333	3	)	)	PUNCT
cana-3680	333	4	)	)	PUNCT
cana-3680	333	5	−	−	PROPN
cana-3680	333	6	𝜆(𝑆(𝑟𝑛	𝜆(𝑆(𝑟𝑛	PROPN
cana-3680	333	7	)	)	PUNCT
cana-3680	333	8	−	−	PROPN
cana-3680	333	9	𝑇(𝑟𝑛	𝑇(𝑟𝑛	NOUN
cana-3680	333	10	)	)	PUNCT
cana-3680	333	11	)	)	PUNCT
cana-3680	334	1	+	+	X
cana-3680	334	2	𝜆𝜌]]+	𝜆𝜌]]+	PROPN
cana-3680	334	3	[	[	X
cana-3680	334	4	𝑟𝑛	𝑟𝑛	ADJ
cana-3680	334	5	−	−	NOUN
cana-3680	334	6	𝑔(𝑟𝑛	𝑔(𝑟𝑛	NUM
cana-3680	334	7	)	)	PUNCT
cana-3680	334	8	+	+	CCONJ
cana-3680	335	1	𝐽𝜆	𝐽𝜆	ADV
cana-3680	335	2	,	,	PUNCT
cana-3680	335	3	𝑁	𝑁	PROPN
cana-3680	335	4	𝐴	𝐴	PROPN
cana-3680	335	5	(	(	PUNCT
cana-3680	335	6	.	.	PUNCT
cana-3680	335	7	,	,	PUNCT
cana-3680	335	8	.	.	PUNCT
cana-3680	335	9	)	)	PUNCT
cana-3680	336	1	[	[	X
cana-3680	336	2	𝐴(𝑃𝑜𝑔(𝑟𝑛),𝑅𝑜𝑔(𝑟𝑛	𝐴(𝑃𝑜𝑔(𝑟𝑛),𝑅𝑜𝑔(𝑟𝑛	NOUN
cana-3680	336	3	)	)	PUNCT
cana-3680	336	4	)	)	PUNCT
cana-3680	336	5	−	−	PROPN
cana-3680	336	6	𝜆(𝑆(𝑟𝑛	𝜆(𝑆(𝑟𝑛	PROPN
cana-3680	336	7	)	)	PUNCT
cana-3680	336	8	−	−	PROPN
cana-3680	336	9	𝑇(𝑟𝑛	𝑇(𝑟𝑛	NOUN
cana-3680	336	10	)	)	PUNCT
cana-3680	336	11	)	)	PUNCT
cana-3680	337	1	+	+	X
cana-3680	337	2	𝜆𝜌]]−	𝜆𝜌]]−	X
cana-3680	337	3	[	[	X
cana-3680	337	4	𝑡𝑛	𝑡𝑛	ADJ
cana-3680	337	5	−	−	NOUN
cana-3680	337	6	𝑔(𝑡𝑛	𝑔(𝑡𝑛	NUM
cana-3680	337	7	)	)	PUNCT
cana-3680	337	8	+	+	SYM
cana-3680	337	9	𝐽𝜆,𝑁	𝐽𝜆,𝑁	X
cana-3680	337	10	𝐴	𝐴	PROPN
cana-3680	337	11	(	(	PUNCT
cana-3680	337	12	.	.	PUNCT
cana-3680	337	13	,	,	PUNCT
cana-3680	337	14	.	.	PUNCT
cana-3680	337	15	)	)	PUNCT
cana-3680	338	1	[	[	X
cana-3680	338	2	𝐴(𝑃𝑜𝑔(𝑡𝑛),𝑅𝑜𝑔(𝑡𝑛))−	𝐴(𝑃𝑜𝑔(𝑡𝑛),𝑅𝑜𝑔(𝑡𝑛))−	PROPN
cana-3680	338	3	𝜆(𝑆(𝑡𝑛	𝜆(𝑆(𝑡𝑛	PROPN
cana-3680	338	4	)	)	PUNCT
cana-3680	338	5	−	−	PROPN
cana-3680	338	6	𝑇(𝑡𝑛	𝑇(𝑡𝑛	PROPN
cana-3680	338	7	)	)	PUNCT
cana-3680	338	8	)	)	PUNCT
cana-3680	339	1	+	+	CCONJ
cana-3680	340	1	𝜆𝜌	𝜆𝜌	X
cana-3680	340	2	]	]	X
cana-3680	340	3	]	]	X
cana-3680	340	4	∥	∥	PUNCT
cana-3680	340	5	communications	communication	NOUN
cana-3680	340	6	on	on	ADP
cana-3680	340	7	applied	apply	VERB
cana-3680	340	8	nonlinear	nonlinear	ADJ
cana-3680	340	9	analysis	analysis	NOUN
cana-3680	340	10	issn	issn	NOUN
cana-3680	340	11	:	:	PUNCT
cana-3680	340	12	1074	1074	NUM
cana-3680	340	13	-	-	PUNCT
cana-3680	340	14	133x	133x	NUM
cana-3680	340	15	vol	vol	NOUN
cana-3680	340	16	32	32	NUM
cana-3680	340	17	no	no	NOUN
cana-3680	340	18	.	.	PUNCT
cana-3680	341	1	8s	8s	PROPN
cana-3680	341	2	(	(	PUNCT
cana-3680	341	3	2025	2025	NUM
cana-3680	341	4	)	)	PUNCT
cana-3680	341	5	356	356	NUM
cana-3680	341	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3680	341	7	=	=	PUNCT
cana-3680	341	8	∥	∥	X
cana-3680	341	9	(	(	PUNCT
cana-3680	341	10	1−	1−	NUM
cana-3680	341	11	𝜉𝑛)𝑞𝑛	𝜉𝑛)𝑞𝑛	NUM
cana-3680	341	12	−	−	PROPN
cana-3680	341	13	(	(	PUNCT
cana-3680	341	14	1−	1−	NUM
cana-3680	341	15	𝜉𝑛)(𝑟𝑛	𝜉𝑛)(𝑟𝑛	X
cana-3680	341	16	−	−	PROPN
cana-3680	341	17	𝑔(𝑟𝑛	𝑔(𝑟𝑛	NUM
cana-3680	341	18	)	)	PUNCT
cana-3680	342	1	+	+	NUM
cana-3680	342	2	𝐽𝜆,𝑁	𝐽𝜆,𝑁	NOUN
cana-3680	342	3	𝐴(.,.)[𝐴(𝑃𝑜𝑔(𝑟𝑛),𝑅𝑜𝑔(𝑟𝑛	𝐴(.,.)[𝐴(𝑃𝑜𝑔(𝑟𝑛),𝑅𝑜𝑔(𝑟𝑛	NOUN
cana-3680	342	4	)	)	PUNCT
cana-3680	342	5	)	)	PUNCT
cana-3680	343	1	−	−	PROPN
cana-3680	343	2	𝜆(𝑆(𝑟𝑛	𝜆(𝑆(𝑟𝑛	PROPN
cana-3680	343	3	)	)	PUNCT
cana-3680	343	4	−𝑇(𝑟𝑛))+	−𝑇(𝑟𝑛))+	NOUN
cana-3680	343	5	𝜆𝜌	𝜆𝜌	PROPN
cana-3680	343	6	]	]	X
cana-3680	343	7	]	]	PUNCT
cana-3680	344	1	+	+	CCONJ
cana-3680	345	1	[	[	X
cana-3680	345	2	𝑟𝑛	𝑟𝑛	INTJ
cana-3680	345	3	−	−	NOUN
cana-3680	345	4	𝑔(𝑟𝑛	𝑔(𝑟𝑛	NUM
cana-3680	345	5	)	)	PUNCT
cana-3680	346	1	+	+	CCONJ
cana-3680	346	2	𝐽𝜆	𝐽𝜆	ADV
cana-3680	346	3	,	,	PUNCT
cana-3680	346	4	𝑁	𝑁	PROPN
cana-3680	346	5	𝐴(.,.)[𝐴(𝑃𝑜𝑔(𝑟𝑛),𝑅𝑜𝑔(𝑟𝑛	𝐴(.,.)[𝐴(𝑃𝑜𝑔(𝑟𝑛),𝑅𝑜𝑔(𝑟𝑛	NOUN
cana-3680	346	6	)	)	PUNCT
cana-3680	346	7	)	)	PUNCT
cana-3680	347	1	−	−	PROPN
cana-3680	347	2	𝜆(𝑆(𝑟𝑛	𝜆(𝑆(𝑟𝑛	PROPN
cana-3680	347	3	)	)	PUNCT
cana-3680	347	4	−𝑇(𝑟𝑛))+	−𝑇(𝑟𝑛))+	NOUN
cana-3680	347	5	𝜆𝜌	𝜆𝜌	PROPN
cana-3680	347	6	]	]	X
cana-3680	347	7	]	]	PUNCT
cana-3680	348	1	+	+	CCONJ
cana-3680	349	1	[	[	X
cana-3680	349	2	𝑟𝑛	𝑟𝑛	INTJ
cana-3680	349	3	−	−	NOUN
cana-3680	349	4	𝑔(𝑟𝑛	𝑔(𝑟𝑛	NUM
cana-3680	349	5	)	)	PUNCT
cana-3680	350	1	+	+	CCONJ
cana-3680	350	2	𝐽𝜆	𝐽𝜆	ADV
cana-3680	350	3	,	,	PUNCT
cana-3680	350	4	𝑁	𝑁	PROPN
cana-3680	350	5	𝐴(.,.)[𝐴(𝑃𝑜𝑔(𝑟𝑛),𝑅𝑜𝑔(𝑟𝑛	𝐴(.,.)[𝐴(𝑃𝑜𝑔(𝑟𝑛),𝑅𝑜𝑔(𝑟𝑛	NOUN
cana-3680	350	6	)	)	PUNCT
cana-3680	350	7	)	)	PUNCT
cana-3680	351	1	−	−	PROPN
cana-3680	351	2	𝜆(𝑆(𝑟𝑛	𝜆(𝑆(𝑟𝑛	PROPN
cana-3680	351	3	)	)	PUNCT
cana-3680	351	4	−𝑇(𝑟𝑛))+	−𝑇(𝑟𝑛))+	NOUN
cana-3680	351	5	𝜆𝜌	𝜆𝜌	PROPN
cana-3680	351	6	]	]	X
cana-3680	351	7	]	]	X
cana-3680	351	8	−	−	PROPN
cana-3680	352	1	[	[	X
cana-3680	352	2	𝑡𝑛	𝑡𝑛	ADJ
cana-3680	352	3	−	−	NOUN
cana-3680	352	4	𝑔(𝑡𝑛	𝑔(𝑡𝑛	NUM
cana-3680	352	5	)	)	PUNCT
cana-3680	352	6	+	+	NUM
cana-3680	352	7	𝐽𝜆,𝑁	𝐽𝜆,𝑁	NOUN
cana-3680	352	8	𝐴(.,.)[𝐴(𝑃𝑜𝑔(𝑡𝑛),𝑅𝑜𝑔(𝑡𝑛))−	𝐴(.,.)[𝐴(𝑃𝑜𝑔(𝑡𝑛),𝑅𝑜𝑔(𝑡𝑛))−	VERB
cana-3680	352	9	𝜆(𝑆(𝑡𝑛	𝜆(𝑆(𝑡𝑛	PROPN
cana-3680	352	10	)	)	PUNCT
cana-3680	353	1	−	−	PROPN
cana-3680	353	2	𝑇(𝑡𝑛	𝑇(𝑡𝑛	PROPN
cana-3680	353	3	)	)	PUNCT
cana-3680	353	4	)	)	PUNCT
cana-3680	354	1	+	+	CCONJ
cana-3680	354	2	𝜆𝜌	𝜆𝜌	X
cana-3680	354	3	]	]	X
cana-3680	354	4	]	]	X
cana-3680	354	5	∥	∥	PUNCT
cana-3680	354	6	=	=	PUNCT
cana-3680	354	7	(	(	PUNCT
cana-3680	354	8	1	1	NUM
cana-3680	354	9	−	−	NOUN
cana-3680	354	10	𝜉𝑛	𝜉𝑛	X
cana-3680	354	11	)	)	PUNCT
cana-3680	354	12	∥	∥	X
cana-3680	354	13	𝑞𝑛	𝑞𝑛	ADP
cana-3680	354	14	−	−	PROPN
cana-3680	354	15	(	(	PUNCT
cana-3680	354	16	𝑟𝑛	𝑟𝑛	ADP
cana-3680	354	17	−	−	NOUN
cana-3680	354	18	𝑔(𝑟𝑛	𝑔(𝑟𝑛	NUM
cana-3680	354	19	)	)	PUNCT
cana-3680	354	20	+	+	SYM
cana-3680	354	21	𝐽𝜆,𝑁	𝐽𝜆,𝑁	X
cana-3680	354	22	𝐴	𝐴	PROPN
cana-3680	354	23	(	(	PUNCT
cana-3680	354	24	.	.	PUNCT
cana-3680	354	25	,	,	PUNCT
cana-3680	354	26	.	.	PUNCT
cana-3680	354	27	)	)	PUNCT
cana-3680	355	1	[	[	X
cana-3680	355	2	𝐴(𝑃𝑜𝑔(𝑟𝑛),𝑅𝑜𝑔(𝑟𝑛	𝐴(𝑃𝑜𝑔(𝑟𝑛),𝑅𝑜𝑔(𝑟𝑛	NOUN
cana-3680	355	3	)	)	PUNCT
cana-3680	355	4	)	)	PUNCT
cana-3680	355	5	−	−	PROPN
cana-3680	355	6	𝜆(𝑆(𝑟𝑛	𝜆(𝑆(𝑟𝑛	PROPN
cana-3680	355	7	)	)	PUNCT
cana-3680	355	8	−	−	PROPN
cana-3680	355	9	𝑇(𝑟𝑛	𝑇(𝑟𝑛	NOUN
cana-3680	355	10	)	)	PUNCT
cana-3680	355	11	)	)	PUNCT
cana-3680	356	1	+	+	ADV
cana-3680	356	2	𝜆𝜌	𝜆𝜌	X
cana-3680	356	3	]	]	X
cana-3680	356	4	)	)	PUNCT
cana-3680	356	5	∥	∥	PUNCT
cana-3680	357	1	+	+	PUNCT
cana-3680	357	2	𝜉𝑛	𝜉𝑛	X
cana-3680	357	3	∥	∥	X
cana-3680	357	4	𝑟𝑛	𝑟𝑛	ADP
cana-3680	357	5	−	−	NOUN
cana-3680	357	6	𝑔(𝑟𝑛	𝑔(𝑟𝑛	NUM
cana-3680	357	7	)	)	PUNCT
cana-3680	357	8	+	+	SYM
cana-3680	357	9	𝐽𝜆,𝑁	𝐽𝜆,𝑁	X
cana-3680	357	10	𝐴	𝐴	PROPN
cana-3680	357	11	(	(	PUNCT
cana-3680	357	12	.	.	PUNCT
cana-3680	357	13	,	,	PUNCT
cana-3680	357	14	.	.	PUNCT
cana-3680	357	15	)	)	PUNCT
cana-3680	358	1	[	[	X
cana-3680	358	2	𝐴(𝑃𝑜𝑔(𝑟𝑛),𝑅𝑜𝑔(𝑟𝑛	𝐴(𝑃𝑜𝑔(𝑟𝑛),𝑅𝑜𝑔(𝑟𝑛	NOUN
cana-3680	358	3	)	)	PUNCT
cana-3680	358	4	)	)	PUNCT
cana-3680	358	5	−	−	PROPN
cana-3680	358	6	𝜆(𝑆(𝑟𝑛	𝜆(𝑆(𝑟𝑛	PROPN
cana-3680	358	7	)	)	PUNCT
cana-3680	358	8	−	−	PROPN
cana-3680	358	9	𝑇(𝑟𝑛	𝑇(𝑟𝑛	NOUN
cana-3680	358	10	)	)	PUNCT
cana-3680	358	11	)	)	PUNCT
cana-3680	359	1	+	+	ADV
cana-3680	359	2	𝜆𝜌	𝜆𝜌	X
cana-3680	359	3	]	]	X
cana-3680	359	4	∥	∥	X
cana-3680	359	5	−(𝑡𝑛	−(𝑡𝑛	NOUN
cana-3680	359	6	−𝑔(𝑡𝑛	−𝑔(𝑡𝑛	ADV
cana-3680	359	7	)	)	PUNCT
cana-3680	360	1	+	+	CCONJ
cana-3680	360	2	𝐽𝜆	𝐽𝜆	ADV
cana-3680	360	3	,	,	PUNCT
cana-3680	360	4	𝑁	𝑁	PROPN
cana-3680	360	5	𝐴(.,.)[𝐴(𝑃𝑜𝑔(𝑡𝑛),𝑅𝑜𝑔(𝑡𝑛))−	𝐴(.,.)[𝐴(𝑃𝑜𝑔(𝑡𝑛),𝑅𝑜𝑔(𝑡𝑛))−	NOUN
cana-3680	360	6	𝜆(𝑆(𝑡𝑛	𝜆(𝑆(𝑡𝑛	PROPN
cana-3680	360	7	)	)	PUNCT
cana-3680	361	1	−	−	ADP
cana-3680	361	2	𝑇(𝑡𝑛))+	𝑇(𝑡𝑛))+	NOUN
cana-3680	361	3	𝜆𝜌	𝜆𝜌	NOUN
cana-3680	361	4	]	]	X
cana-3680	361	5	)	)	PUNCT
cana-3680	361	6	≤	≤	NOUN
cana-3680	361	7	(	(	PUNCT
cana-3680	361	8	1	1	NUM
cana-3680	361	9	−	−	NOUN
cana-3680	361	10	𝜉𝑛	𝜉𝑛	NOUN
cana-3680	361	11	)	)	PUNCT
cana-3680	361	12	∥	∥	NOUN
cana-3680	361	13	𝑞𝑛	𝑞𝑛	ADP
cana-3680	361	14	−𝐹(𝑟𝑛	−𝐹(𝑟𝑛	NOUN
cana-3680	361	15	)	)	PUNCT
cana-3680	361	16	∥	∥	PUNCT
cana-3680	362	1	+	+	PUNCT
cana-3680	362	2	𝜉𝑛	𝜉𝑛	X
cana-3680	362	3	∥	∥	NUM
cana-3680	362	4	𝐹(𝑟𝑛	𝐹(𝑟𝑛	NOUN
cana-3680	362	5	)	)	PUNCT
cana-3680	362	6	−	−	NUM
cana-3680	362	7	𝐹(𝑡𝑛	𝐹(𝑡𝑛	NUM
cana-3680	362	8	)	)	PUNCT
cana-3680	362	9	∥	∥	NOUN
cana-3680	362	10	≤	≤	NOUN
cana-3680	362	11	(	(	PUNCT
cana-3680	362	12	1	1	NUM
cana-3680	362	13	−	−	NOUN
cana-3680	362	14	𝜉𝑛	𝜉𝑛	NOUN
cana-3680	362	15	)	)	PUNCT
cana-3680	362	16	∥	∥	NOUN
cana-3680	362	17	𝑞𝑛	𝑞𝑛	ADP
cana-3680	362	18	−𝑤	−𝑤	PROPN
cana-3680	362	19	∗	∗	VERB
cana-3680	362	20	+	+	PROPN
cana-3680	362	21	𝐹(𝑤∗	𝐹(𝑤∗	NUM
cana-3680	362	22	)	)	PUNCT
cana-3680	362	23	−	−	PROPN
cana-3680	362	24	𝐹(𝑟𝑛	𝐹(𝑟𝑛	NOUN
cana-3680	362	25	)	)	PUNCT
cana-3680	362	26	∥	∥	PUNCT
cana-3680	363	1	+	+	PUNCT
cana-3680	363	2	𝜉𝑛	𝜉𝑛	X
cana-3680	363	3	∥	∥	NUM
cana-3680	363	4	𝐹(𝑟𝑛	𝐹(𝑟𝑛	NOUN
cana-3680	363	5	)	)	PUNCT
cana-3680	363	6	−	−	NUM
cana-3680	363	7	𝐹(𝑡𝑛	𝐹(𝑡𝑛	NUM
cana-3680	363	8	)	)	PUNCT
cana-3680	363	9	∥	∥	NOUN
cana-3680	363	10	≤	≤	NOUN
cana-3680	363	11	(	(	PUNCT
cana-3680	363	12	1	1	NUM
cana-3680	363	13	−	−	PROPN
cana-3680	363	14	𝜉𝑛)(∥	𝜉𝑛)(∥	PROPN
cana-3680	363	15	𝑞𝑛	𝑞𝑛	ADP
cana-3680	363	16	−𝑤	−𝑤	PROPN
cana-3680	363	17	∗	∗	VERB
cana-3680	363	18	∥	∥	PUNCT
cana-3680	364	1	+	+	NUM
cana-3680	364	2	∥	∥	PRON
cana-3680	364	3	𝐹(𝑤∗)−	𝐹(𝑤∗)−	X
cana-3680	364	4	𝐹(𝑟𝑛	𝐹(𝑟𝑛	NOUN
cana-3680	364	5	)	)	PUNCT
cana-3680	364	6	∥	∥	NUM
cana-3680	364	7	)	)	PUNCT
cana-3680	365	1	+	+	CCONJ
cana-3680	365	2	𝜉𝑛	𝜉𝑛	X
cana-3680	365	3	∥	∥	NUM
cana-3680	365	4	𝐹(𝑟𝑛	𝐹(𝑟𝑛	NOUN
cana-3680	365	5	)	)	PUNCT
cana-3680	365	6	−	−	NUM
cana-3680	365	7	𝐹(𝑡𝑛	𝐹(𝑡𝑛	NUM
cana-3680	365	8	)	)	PUNCT
cana-3680	365	9	∥	∥	NOUN
cana-3680	365	10	≤	≤	NOUN
cana-3680	365	11	(	(	PUNCT
cana-3680	365	12	1	1	NUM
cana-3680	365	13	−	−	PROPN
cana-3680	365	14	𝜉𝑛)(∥	𝜉𝑛)(∥	PROPN
cana-3680	365	15	𝑞𝑛	𝑞𝑛	ADP
cana-3680	365	16	−𝑤	−𝑤	PROPN
cana-3680	365	17	∗	∗	VERB
cana-3680	365	18	∥	∥	PUNCT
cana-3680	366	1	+	+	NUM
cana-3680	366	2	𝜅	𝜅	X
cana-3680	366	3	∥	∥	X
cana-3680	366	4	𝑤∗	𝑤∗	NOUN
cana-3680	366	5	−	−	PROPN
cana-3680	366	6	𝑟𝑛	𝑟𝑛	ADP
cana-3680	366	7	∥	∥	NUM
cana-3680	366	8	)	)	PUNCT
cana-3680	367	1	+	+	CCONJ
cana-3680	367	2	𝜉𝑛𝜅	𝜉𝑛𝜅	X
cana-3680	367	3	∥	∥	NOUN
cana-3680	367	4	𝑟𝑛	𝑟𝑛	ADP
cana-3680	367	5	−	−	NOUN
cana-3680	367	6	𝑡𝑛	𝑡𝑛	VERB
cana-3680	367	7	∥	∥	NOUN
cana-3680	367	8	≤	≤	NOUN
cana-3680	367	9	(	(	PUNCT
cana-3680	367	10	1	1	NUM
cana-3680	367	11	−	−	NOUN
cana-3680	367	12	𝜉𝑛	𝜉𝑛	NOUN
cana-3680	367	13	)	)	PUNCT
cana-3680	367	14	∥	∥	NOUN
cana-3680	367	15	𝑞𝑛	𝑞𝑛	ADP
cana-3680	367	16	−𝑤	−𝑤	PROPN
cana-3680	367	17	∗	∗	VERB
cana-3680	367	18	∥	∥	PUNCT
cana-3680	368	1	+	+	NOUN
cana-3680	368	2	(	(	PUNCT
cana-3680	368	3	1−	1−	NUM
cana-3680	368	4	𝜉𝑛)𝜅	𝜉𝑛)𝜅	NUM
cana-3680	368	5	∥	∥	NOUN
cana-3680	368	6	𝑟𝑛	𝑟𝑛	ADP
cana-3680	368	7	−	−	NOUN
cana-3680	368	8	𝑤	𝑤	ADP
cana-3680	368	9	∗	∗	NOUN
cana-3680	368	10	∥	∥	PUNCT
cana-3680	368	11	−(1−	−(1−	NOUN
cana-3680	368	12	𝜉𝑛)𝜅	𝜉𝑛)𝜅	PROPN
cana-3680	368	13	∥	∥	NUM
cana-3680	368	14	𝑟𝑛	𝑟𝑛	ADP
cana-3680	368	15	−	−	NOUN
cana-3680	368	16	𝑡𝑛	𝑡𝑛	VERB
cana-3680	368	17	∥	∥	PUNCT
cana-3680	368	18	+	+	PROPN
cana-3680	368	19	𝜉𝑛𝜅	𝜉𝑛𝜅	NOUN
cana-3680	368	20	∥	∥	NOUN
cana-3680	368	21	𝑟𝑛	𝑟𝑛	ADP
cana-3680	368	22	−	−	NOUN
cana-3680	368	23	𝑡𝑛	𝑡𝑛	VERB
cana-3680	368	24	∥	∥	NOUN
cana-3680	368	25	≤	≤	NOUN
cana-3680	368	26	(	(	PUNCT
cana-3680	368	27	1	1	NUM
cana-3680	368	28	−	−	NOUN
cana-3680	368	29	𝜉𝑛	𝜉𝑛	NOUN
cana-3680	368	30	)	)	PUNCT
cana-3680	368	31	∥	∥	NOUN
cana-3680	368	32	𝑞𝑛	𝑞𝑛	ADP
cana-3680	368	33	−𝑤	−𝑤	PROPN
cana-3680	368	34	∗	∗	VERB
cana-3680	368	35	∥	∥	PUNCT
cana-3680	369	1	+	+	NOUN
cana-3680	369	2	𝜅	𝜅	X
cana-3680	369	3	∥	∥	NOUN
cana-3680	369	4	𝑡𝑛	𝑡𝑛	ADP
cana-3680	369	5	−	−	NOUN
cana-3680	369	6	𝑟𝑛	𝑟𝑛	CCONJ
cana-3680	369	7	∥	∥	PUNCT
cana-3680	370	1	+	+	ADJ
cana-3680	370	2	(	(	PUNCT
cana-3680	370	3	1−	1−	NUM
cana-3680	370	4	𝜉𝑛)𝜅	𝜉𝑛)𝜅	NUM
cana-3680	370	5	∥	∥	NOUN
cana-3680	370	6	𝑟𝑛	𝑟𝑛	ADP
cana-3680	370	7	−	−	NOUN
cana-3680	370	8	𝑤	𝑤	SYM
cana-3680	370	9	∗.	∗.	PROPN
cana-3680	370	10	(	(	PUNCT
cana-3680	370	11	3.26	3.26	NUM
cana-3680	370	12	)	)	PUNCT
cana-3680	370	13	we	we	PRON
cana-3680	370	14	have	have	VERB
cana-3680	370	15	∥	∥	PROPN
cana-3680	370	16	rn	rn	ADP
cana-3680	370	17	−	−	PROPN
cana-3680	370	18	w∗	w∗	PROPN
cana-3680	370	19	∥=∥	∥=∥	SYM
cana-3680	370	20	(	(	PUNCT
cana-3680	370	21	1−	1−	NUM
cana-3680	370	22	μ	μ	PROPN
cana-3680	370	23	n	n	NOUN
cana-3680	370	24	)	)	PUNCT
cana-3680	370	25	q	q	PROPN
cana-3680	371	1	n	n	PROPN
cana-3680	371	2	+	+	CCONJ
cana-3680	371	3	μ	μ	PROPN
cana-3680	371	4	n	n	CCONJ
cana-3680	371	5	[	[	X
cana-3680	371	6	q	q	X
cana-3680	371	7	n	n	CCONJ
cana-3680	371	8	−	−	PROPN
cana-3680	371	9	g(q	g(q	PROPN
cana-3680	371	10	n	n	CCONJ
cana-3680	371	11	)	)	PUNCT
cana-3680	372	1	+	+	CCONJ
cana-3680	372	2	j	j	PROPN
cana-3680	372	3	λ	λ	PROPN
cana-3680	372	4	,	,	PUNCT
cana-3680	372	5	n	n	PRON
cana-3680	372	6	a	a	PRON
cana-3680	372	7	(	(	PUNCT
cana-3680	372	8	.	.	PUNCT
cana-3680	372	9	,	,	PUNCT
cana-3680	372	10	.	.	PUNCT
cana-3680	372	11	)	)	PUNCT
cana-3680	373	1	[	[	X
cana-3680	373	2	a(pog(q	a(pog(q	NOUN
cana-3680	373	3	n	n	NOUN
cana-3680	373	4	)	)	PUNCT
cana-3680	373	5	,	,	PUNCT
cana-3680	373	6	rog(q	rog(q	PROPN
cana-3680	373	7	n	n	NOUN
cana-3680	373	8	)	)	PUNCT
cana-3680	373	9	)	)	PUNCT
cana-3680	374	1	−	−	PROPN
cana-3680	374	2	λ(s(q	λ(s(q	PROPN
cana-3680	374	3	n	n	CCONJ
cana-3680	374	4	)	)	PUNCT
cana-3680	374	5	−	−	PROPN
cana-3680	374	6	t(q	t(q	PROPN
cana-3680	374	7	n	n	CCONJ
cana-3680	374	8	)	)	PUNCT
cana-3680	374	9	)	)	PUNCT
cana-3680	375	1	+	+	ADV
cana-3680	375	2	λρ]]−	λρ]]−	X
cana-3680	375	3	w∗	w∗	NOUN
cana-3680	375	4	∥	∥	PUNCT
cana-3680	375	5	=	=	SYM
cana-3680	375	6	∥	∥	X
cana-3680	375	7	(	(	PUNCT
cana-3680	375	8	1−	1−	NUM
cana-3680	375	9	μ	μ	PROPN
cana-3680	375	10	n	n	NOUN
cana-3680	375	11	)	)	PUNCT
cana-3680	375	12	q	q	PROPN
cana-3680	375	13	n	n	PROPN
cana-3680	375	14	+	+	CCONJ
cana-3680	375	15	μ	μ	PROPN
cana-3680	375	16	n	n	CCONJ
cana-3680	375	17	[	[	X
cana-3680	375	18	q	q	X
cana-3680	375	19	n	n	CCONJ
cana-3680	375	20	−	−	PROPN
cana-3680	375	21	g(q	g(q	PROPN
cana-3680	375	22	n	n	CCONJ
cana-3680	375	23	)	)	PUNCT
cana-3680	375	24	+	+	CCONJ
cana-3680	375	25	j	j	PROPN
cana-3680	375	26	λ	λ	PROPN
cana-3680	375	27	,	,	PUNCT
cana-3680	375	28	n	n	PRON
cana-3680	375	29	a	a	PRON
cana-3680	375	30	(	(	PUNCT
cana-3680	375	31	.	.	PUNCT
cana-3680	375	32	,	,	PUNCT
cana-3680	375	33	.	.	PUNCT
cana-3680	375	34	)	)	PUNCT
cana-3680	376	1	[	[	X
cana-3680	376	2	a(pog(q	a(pog(q	NOUN
cana-3680	376	3	n	n	NOUN
cana-3680	376	4	)	)	PUNCT
cana-3680	376	5	,	,	PUNCT
cana-3680	376	6	rog(q	rog(q	PROPN
cana-3680	376	7	n	n	NOUN
cana-3680	376	8	)	)	PUNCT
cana-3680	376	9	)	)	PUNCT
cana-3680	377	1	−	−	PROPN
cana-3680	377	2	λ(s(q	λ(s(q	PROPN
cana-3680	377	3	n	n	CCONJ
cana-3680	377	4	)	)	PUNCT
cana-3680	377	5	−	−	PROPN
cana-3680	377	6	t(q	t(q	PROPN
cana-3680	377	7	n	n	CCONJ
cana-3680	377	8	)	)	PUNCT
cana-3680	377	9	)	)	PUNCT
cana-3680	378	1	+	+	VERB
cana-3680	378	2	λρ]]−	λρ]]−	PRON
cana-3680	378	3	[	[	X
cana-3680	378	4	(	(	PUNCT
cana-3680	378	5	1−	1−	NUM
cana-3680	378	6	μ	μ	PROPN
cana-3680	378	7	n	n	NOUN
cana-3680	378	8	)	)	PUNCT
cana-3680	378	9	w∗	w∗	PROPN
cana-3680	378	10	+	+	CCONJ
cana-3680	378	11	μ	μ	PROPN
cana-3680	378	12	n	n	CCONJ
cana-3680	378	13	[	[	X
cana-3680	378	14	w∗−	w∗−	X
cana-3680	378	15	g(w∗)+	g(w∗)+	X
cana-3680	378	16	jλ	jλ	NOUN
cana-3680	378	17	,	,	PUNCT
cana-3680	378	18	n	n	PRON
cana-3680	378	19	a	a	PRON
cana-3680	378	20	(	(	PUNCT
cana-3680	378	21	.	.	PUNCT
cana-3680	378	22	,	,	PUNCT
cana-3680	378	23	.	.	PUNCT
cana-3680	378	24	)	)	PUNCT
cana-3680	379	1	[	[	X
cana-3680	379	2	a(pog(w∗),rog(w∗	a(pog(w∗),rog(w∗	X
cana-3680	379	3	)	)	PUNCT
cana-3680	379	4	)	)	PUNCT
cana-3680	379	5	−λ(s(w∗	−λ(s(w∗	NOUN
cana-3680	379	6	)	)	PUNCT
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cana-3680	379	8	t(w∗))+	t(w∗))+	NOUN
cana-3680	379	9	λρ	λρ	ADP
cana-3680	379	10	]	]	X
cana-3680	379	11	]	]	X
cana-3680	379	12	∥	∥	X
cana-3680	379	13	≤∥	≤∥	X
cana-3680	379	14	(	(	PUNCT
cana-3680	379	15	1−	1−	NUM
cana-3680	379	16	μ	μ	PROPN
cana-3680	379	17	n	n	NOUN
cana-3680	379	18	)	)	PUNCT
cana-3680	379	19	q	q	PROPN
cana-3680	379	20	n	n	CCONJ
cana-3680	379	21	−	−	PROPN
cana-3680	379	22	w∗	w∗	NOUN
cana-3680	379	23	+	+	CCONJ
cana-3680	379	24	μ	μ	PROPN
cana-3680	379	25	n	n	PRON
cana-3680	379	26	(	(	PUNCT
cana-3680	379	27	f(q	f(q	PROPN
cana-3680	379	28	n	n	PRON
cana-3680	379	29	)	)	PUNCT
cana-3680	379	30	−	−	NOUN
cana-3680	379	31	f(w∗	f(w∗	NOUN
cana-3680	379	32	)	)	PUNCT
cana-3680	379	33	)	)	PUNCT
cana-3680	379	34	∥	∥	PUNCT
cana-3680	379	35	≤	≤	NOUN
cana-3680	379	36	(	(	PUNCT
cana-3680	379	37	1	1	NUM
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cana-3680	379	39	μ	μ	PROPN
cana-3680	379	40	n	n	PROPN
cana-3680	379	41	)	)	PUNCT
cana-3680	379	42	∥	∥	PUNCT
cana-3680	379	43	q	q	NOUN
cana-3680	379	44	n	n	PRON
cana-3680	379	45	−w∗	−w∗	NOUN
cana-3680	379	46	∥	∥	PUNCT
cana-3680	380	1	+	+	NOUN
cana-3680	380	2	μ	μ	NOUN
cana-3680	380	3	n	n	SYM
cana-3680	380	4	κ	κ	X
cana-3680	380	5	∥	∥	X
cana-3680	380	6	q	q	NOUN
cana-3680	380	7	n	n	PRON
cana-3680	380	8	−w∗	−w∗	NOUN
cana-3680	380	9	∥	∥	NUM
cana-3680	381	1	=	=	PUNCT
cana-3680	382	1	[	[	X
cana-3680	382	2	1	1	NUM
cana-3680	382	3	−	−	PROPN
cana-3680	382	4	μ	μ	PROPN
cana-3680	382	5	n	n	PROPN
cana-3680	382	6	(	(	PUNCT
cana-3680	382	7	1−	1−	NUM
cana-3680	382	8	κ	κ	NOUN
cana-3680	382	9	)	)	PUNCT
cana-3680	382	10	]	]	PUNCT
cana-3680	382	11	∥	∥	PUNCT
cana-3680	382	12	q	q	NOUN
cana-3680	382	13	n	n	CCONJ
cana-3680	382	14	−	−	PROPN
cana-3680	382	15	w∗	w∗	NOUN
cana-3680	382	16	∥	∥	NUM
cana-3680	382	17	,	,	PUNCT
cana-3680	382	18	(	(	PUNCT
cana-3680	382	19	3.27	3.27	NUM
cana-3680	382	20	)	)	PUNCT
cana-3680	382	21	and	and	CCONJ
cana-3680	382	22	∥	∥	NUM
cana-3680	382	23	rn	rn	NOUN
cana-3680	382	24	−	−	PROPN
cana-3680	382	25	tn	tn	PROPN
cana-3680	382	26	∥=∥	∥=∥	PROPN
cana-3680	382	27	(	(	PUNCT
cana-3680	382	28	1−	1−	NUM
cana-3680	382	29	μ	μ	PROPN
cana-3680	382	30	n	n	NOUN
cana-3680	382	31	)	)	PUNCT
cana-3680	382	32	q	q	PROPN
cana-3680	382	33	n	n	PROPN
cana-3680	382	34	+	+	CCONJ
cana-3680	382	35	μ	μ	PROPN
cana-3680	382	36	n	n	CCONJ
cana-3680	382	37	[	[	X
cana-3680	382	38	q	q	X
cana-3680	382	39	n	n	CCONJ
cana-3680	382	40	−	−	PROPN
cana-3680	382	41	g(q	g(q	PROPN
cana-3680	382	42	n	n	NOUN
cana-3680	382	43	)	)	PUNCT
cana-3680	382	44	+	+	CCONJ
cana-3680	382	45	j	j	PROPN
cana-3680	382	46	λ	λ	PROPN
cana-3680	382	47	,	,	PUNCT
cana-3680	382	48	n	n	PRON
cana-3680	382	49	a	a	PRON
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cana-3680	382	51	.	.	PUNCT
cana-3680	382	52	,	,	PUNCT
cana-3680	382	53	.	.	PUNCT
cana-3680	382	54	)	)	PUNCT
cana-3680	383	1	[	[	X
cana-3680	383	2	a(pog(q	a(pog(q	NOUN
cana-3680	383	3	n	n	NOUN
cana-3680	383	4	)	)	PUNCT
cana-3680	383	5	,	,	PUNCT
cana-3680	383	6	rog(q	rog(q	PROPN
cana-3680	383	7	n	n	NOUN
cana-3680	383	8	)	)	PUNCT
cana-3680	383	9	)	)	PUNCT
cana-3680	384	1	−	−	PROPN
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cana-3680	384	4	)	)	PUNCT
cana-3680	384	5	−	−	PROPN
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cana-3680	384	7	n	n	CCONJ
cana-3680	384	8	)	)	PUNCT
cana-3680	384	9	)	)	PUNCT
cana-3680	385	1	+	+	VERB
cana-3680	385	2	λρ]]−	λρ]]−	X
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cana-3680	385	7	)	)	PUNCT
cana-3680	385	8	sn	sn	PROPN
cana-3680	385	9	+	+	CCONJ
cana-3680	385	10	μ	μ	PROPN
cana-3680	385	11	n	n	PROPN
cana-3680	386	1	[	[	X
cana-3680	386	2	sn	sn	INTJ
cana-3680	386	3	−	−	PROPN
cana-3680	387	1	g(sn)+	g(sn)+	PROPN
cana-3680	387	2	j	j	PROPN
cana-3680	387	3	λ	λ	PROPN
cana-3680	387	4	,	,	PUNCT
cana-3680	387	5	n	n	PROPN
cana-3680	387	6	a	a	PRON
cana-3680	387	7	(	(	PUNCT
cana-3680	387	8	.	.	PUNCT
cana-3680	387	9	,	,	PUNCT
cana-3680	387	10	.	.	PUNCT
cana-3680	387	11	)	)	PUNCT
cana-3680	388	1	[	[	X
cana-3680	388	2	a(pog(sn),rog(sn	a(pog(sn),rog(sn	NOUN
cana-3680	388	3	)	)	PUNCT
cana-3680	388	4	)	)	PUNCT
cana-3680	389	1	−λ(s(sn	−λ(s(sn	ADJ
cana-3680	389	2	)	)	PUNCT
cana-3680	389	3	−	−	PROPN
cana-3680	389	4	t(sn))+	t(sn))+	NOUN
cana-3680	389	5	λρ	λρ	ADV
cana-3680	389	6	]	]	X
cana-3680	389	7	]	]	X
cana-3680	389	8	∥	∥	X
cana-3680	389	9	≤	≤	NUM
cana-3680	389	10	(	(	PUNCT
cana-3680	389	11	1	1	NUM
cana-3680	389	12	−	−	PROPN
cana-3680	389	13	μ	μ	PROPN
cana-3680	389	14	n	n	PROPN
cana-3680	389	15	)	)	PUNCT
cana-3680	389	16	∥	∥	NUM
cana-3680	389	17	q	q	NOUN
cana-3680	389	18	n	n	CCONJ
cana-3680	389	19	−	−	PROPN
cana-3680	389	20	sn	sn	NOUN
cana-3680	389	21	∥	∥	PUNCT
cana-3680	390	1	+	+	NOUN
cana-3680	390	2	μ	μ	NOUN
cana-3680	390	3	n	n	VERB
cana-3680	390	4	∥	∥	NUM
cana-3680	390	5	(	(	PUNCT
cana-3680	390	6	f(q	f(q	PROPN
cana-3680	390	7	n	n	PRON
cana-3680	390	8	)	)	PUNCT
cana-3680	390	9	−	−	PROPN
cana-3680	390	10	f(sn	f(sn	NOUN
cana-3680	390	11	)	)	PUNCT
cana-3680	390	12	)	)	PUNCT
cana-3680	390	13	∥	∥	PUNCT
cana-3680	390	14	communications	communication	NOUN
cana-3680	390	15	on	on	ADP
cana-3680	390	16	applied	apply	VERB
cana-3680	390	17	nonlinear	nonlinear	ADJ
cana-3680	390	18	analysis	analysis	NOUN
cana-3680	390	19	issn	issn	NOUN
cana-3680	390	20	:	:	PUNCT
cana-3680	390	21	1074	1074	NUM
cana-3680	390	22	-	-	PUNCT
cana-3680	390	23	133x	133x	NUM
cana-3680	390	24	vol	vol	NOUN
cana-3680	390	25	32	32	NUM
cana-3680	390	26	no	no	NOUN
cana-3680	390	27	.	.	PUNCT
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cana-3680	391	2	(	(	PUNCT
cana-3680	391	3	2025	2025	NUM
cana-3680	391	4	)	)	PUNCT
cana-3680	391	5	357	357	NUM
cana-3680	391	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3680	391	7	≤	≤	X
cana-3680	391	8	(	(	PUNCT
cana-3680	391	9	1	1	NUM
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cana-3680	391	16	n	n	CCONJ
cana-3680	391	17	−	−	PROPN
cana-3680	391	18	sn	sn	NOUN
cana-3680	391	19	∥	∥	PUNCT
cana-3680	392	1	+	+	NOUN
cana-3680	392	2	μ	μ	NOUN
cana-3680	392	3	n	n	SYM
cana-3680	392	4	κ	κ	X
cana-3680	392	5	∥	∥	X
cana-3680	392	6	q	q	NOUN
cana-3680	392	7	n	n	CCONJ
cana-3680	392	8	−	−	NOUN
cana-3680	392	9	sn	sn	NOUN
cana-3680	392	10	∥	∥	PUNCT
cana-3680	392	11	=	=	PUNCT
cana-3680	393	1	[	[	X
cana-3680	393	2	1	1	NUM
cana-3680	393	3	−	−	PROPN
cana-3680	393	4	μ	μ	PROPN
cana-3680	393	5	n	n	PROPN
cana-3680	393	6	(	(	PUNCT
cana-3680	393	7	1−	1−	NUM
cana-3680	393	8	κ	κ	NOUN
cana-3680	393	9	)	)	PUNCT
cana-3680	393	10	]	]	PUNCT
cana-3680	393	11	∥	∥	PUNCT
cana-3680	393	12	q	q	NOUN
cana-3680	394	1	n	n	CCONJ
cana-3680	394	2	−	−	PROPN
cana-3680	395	1	sn	sn	PROPN
cana-3680	395	2	∥.	∥.	X
cana-3680	395	3	(	(	PUNCT
cana-3680	395	4	3.28	3.28	NUM
cana-3680	395	5	)	)	PUNCT
cana-3680	395	6	combining	combine	VERB
cana-3680	395	7	(	(	PUNCT
cana-3680	395	8	3.26	3.26	NUM
cana-3680	395	9	)	)	PUNCT
cana-3680	395	10	,	,	PUNCT
cana-3680	395	11	(	(	PUNCT
cana-3680	395	12	3.27	3.27	NUM
cana-3680	395	13	)	)	PUNCT
cana-3680	395	14	and	and	CCONJ
cana-3680	395	15	(	(	PUNCT
cana-3680	395	16	3.25	3.25	NUM
cana-3680	395	17	)	)	PUNCT
cana-3680	396	1	and	and	CCONJ
cana-3680	396	2	using	use	VERB
cana-3680	396	3	the	the	DET
cana-3680	396	4	fact	fact	NOUN
cana-3680	396	5	𝜅	𝜅	DET
cana-3680	396	6	∈	∈	PROPN
cana-3680	396	7	(	(	PUNCT
cana-3680	396	8	0,1	0,1	NUM
cana-3680	396	9	)	)	PUNCT
cana-3680	396	10	,	,	PUNCT
cana-3680	396	11	we	we	PRON
cana-3680	396	12	have	have	VERB
cana-3680	396	13	∥	∥	X
cana-3680	396	14	q	q	NOUN
cana-3680	397	1	n+1	n+1	ADV
cana-3680	397	2	−	−	NUM
cana-3680	397	3	sn+1	sn+1	NOUN
cana-3680	397	4	∥≤	∥≤	PROPN
cana-3680	397	5	(	(	PUNCT
cana-3680	397	6	1−	1−	NUM
cana-3680	397	7	ξ	ξ	PROPN
cana-3680	397	8	n	n	X
cana-3680	397	9	)	)	PUNCT
cana-3680	397	10	∥	∥	NUM
cana-3680	397	11	q	q	NOUN
cana-3680	397	12	n	n	PRON
cana-3680	397	13	−w∗	−w∗	NOUN
cana-3680	397	14	∥	∥	PUNCT
cana-3680	397	15	+	+	NOUN
cana-3680	397	16	(	(	PUNCT
cana-3680	397	17	1	1	NUM
cana-3680	397	18	−	−	PROPN
cana-3680	397	19	ξ	ξ	PROPN
cana-3680	397	20	n	n	X
cana-3680	397	21	)	)	PUNCT
cana-3680	397	22	κ[1−	κ[1−	PROPN
cana-3680	397	23	(	(	PUNCT
cana-3680	397	24	1−	1−	NUM
cana-3680	397	25	κ)μ	κ)μ	X
cana-3680	397	26	n	n	CCONJ
cana-3680	397	27	]	]	PUNCT
cana-3680	397	28	∥	∥	PUNCT
cana-3680	397	29	q	q	NOUN
cana-3680	397	30	n	n	CCONJ
cana-3680	397	31	−	−	PROPN
cana-3680	397	32	w∗	w∗	NOUN
cana-3680	397	33	∥	∥	PUNCT
cana-3680	397	34	+	+	PROPN
cana-3680	397	35	κ[1−	κ[1−	PROPN
cana-3680	397	36	(	(	PUNCT
cana-3680	397	37	1−	1−	NUM
cana-3680	397	38	κ)μ	κ)μ	X
cana-3680	397	39	n	n	CCONJ
cana-3680	397	40	]	]	PUNCT
cana-3680	397	41	∥	∥	PUNCT
cana-3680	397	42	q	q	NOUN
cana-3680	397	43	n	n	CCONJ
cana-3680	397	44	−	−	PROPN
cana-3680	397	45	sn	sn	NOUN
cana-3680	397	46	∥	∥	PUNCT
cana-3680	397	47	≤	≤	PUNCT
cana-3680	398	1	κ[1	κ[1	ADV
cana-3680	398	2	−	−	PROPN
cana-3680	398	3	(	(	PUNCT
cana-3680	398	4	1−	1−	NUM
cana-3680	398	5	κ)μ	κ)μ	X
cana-3680	398	6	n	n	CCONJ
cana-3680	398	7	]	]	PUNCT
cana-3680	398	8	∥	∥	PUNCT
cana-3680	398	9	q	q	NOUN
cana-3680	398	10	n	n	CCONJ
cana-3680	398	11	−	−	PROPN
cana-3680	398	12	sn	sn	NOUN
cana-3680	398	13	∥	∥	PUNCT
cana-3680	399	1	+	+	NOUN
cana-3680	399	2	(	(	PUNCT
cana-3680	399	3	1−	1−	NUM
cana-3680	399	4	ξ	ξ	PROPN
cana-3680	399	5	n	n	X
cana-3680	399	6	)	)	PUNCT
cana-3680	399	7	{	{	PUNCT
cana-3680	399	8	1	1	NUM
cana-3680	399	9	+	+	NUM
cana-3680	399	10	κ[1−	κ[1−	NOUN
cana-3680	399	11	(	(	PUNCT
cana-3680	399	12	1−	1−	NUM
cana-3680	399	13	κ)μ	κ)μ	X
cana-3680	399	14	n	n	CCONJ
cana-3680	399	15	]	]	PUNCT
cana-3680	399	16	}	}	PUNCT
cana-3680	399	17	∥	∥	NUM
cana-3680	399	18	q	q	NOUN
cana-3680	399	19	n	n	CCONJ
cana-3680	399	20	−	−	PROPN
cana-3680	399	21	w∗	w∗	NOUN
cana-3680	399	22	∥	∥	PUNCT
cana-3680	399	23	≤	≤	PUNCT
cana-3680	400	1	[	[	X
cana-3680	400	2	1	1	NUM
cana-3680	400	3	−	−	PROPN
cana-3680	400	4	(	(	PUNCT
cana-3680	400	5	1−	1−	NUM
cana-3680	400	6	κ)μ	κ)μ	X
cana-3680	400	7	n	n	CCONJ
cana-3680	400	8	]	]	PUNCT
cana-3680	400	9	∥	∥	PUNCT
cana-3680	400	10	q	q	NOUN
cana-3680	400	11	n	n	CCONJ
cana-3680	400	12	−	−	PROPN
cana-3680	400	13	sn	sn	NOUN
cana-3680	400	14	∥	∥	PUNCT
cana-3680	400	15	+	+	ADJ
cana-3680	400	16	(	(	PUNCT
cana-3680	400	17	1	1	NUM
cana-3680	400	18	+	+	NUM
cana-3680	400	19	κ)(1−	κ)(1−	PROPN
cana-3680	400	20	ξ	ξ	PROPN
cana-3680	400	21	n	n	NOUN
cana-3680	400	22	)	)	PUNCT
cana-3680	400	23	∥	∥	NUM
cana-3680	400	24	q	q	NOUN
cana-3680	400	25	n	n	PRON
cana-3680	400	26	−w∗	−w∗	NOUN
cana-3680	400	27	∥.	∥.	NOUN
cana-3680	400	28	(	(	PUNCT
cana-3680	400	29	3.29	3.29	NUM
cana-3680	400	30	)	)	PUNCT
cana-3680	400	31	set	set	VERB
cana-3680	400	32	𝜎𝑛	𝜎𝑛	NOUN
cana-3680	400	33	:	:	PUNCT
cana-3680	400	34	=	=	SYM
cana-3680	400	35	‖𝑞𝑛−	‖𝑞𝑛−	PROPN
cana-3680	400	36	𝑠𝑛‖	𝑠𝑛‖	PROPN
cana-3680	400	37	,	,	PUNCT
cana-3680	400	38	𝜖𝑛	𝜖𝑛	X
cana-3680	400	39	:	:	PUNCT
cana-3680	400	40	=	=	SYM
cana-3680	400	41	(	(	PUNCT
cana-3680	400	42	1−	1−	NUM
cana-3680	400	43	𝜅)𝜇𝑛	𝜅)𝜇𝑛	PROPN
cana-3680	400	44	,	,	PUNCT
cana-3680	400	45	𝜌𝑛	𝜌𝑛	ADP
cana-3680	400	46	:	:	PUNCT
cana-3680	400	47	=	=	SYM
cana-3680	400	48	(	(	PUNCT
cana-3680	400	49	1	1	NUM
cana-3680	400	50	+	+	NUM
cana-3680	400	51	𝜅)(1−	𝜅)(1−	ADJ
cana-3680	400	52	𝜉𝑛)‖𝑞𝑛	𝜉𝑛)‖𝑞𝑛	ADJ
cana-3680	400	53	−𝑤	−𝑤	NOUN
cana-3680	400	54	∗‖.	∗‖.	PROPN
cana-3680	401	1	then	then	ADV
cana-3680	401	2	,	,	PUNCT
cana-3680	401	3	(	(	PUNCT
cana-3680	401	4	3.29	3.29	NUM
cana-3680	401	5	)	)	PUNCT
cana-3680	401	6	becomes	become	VERB
cana-3680	401	7	𝜎𝑛+1	𝜎𝑛+1	PROPN
cana-3680	401	8	≤	≤	NOUN
cana-3680	401	9	(	(	PUNCT
cana-3680	401	10	1−	1−	NUM
cana-3680	401	11	𝜖𝑛)𝜎𝑛	𝜖𝑛)𝜎𝑛	PROPN
cana-3680	401	12	+	+	PUNCT
cana-3680	401	13	𝜌𝑛	𝜌𝑛	NOUN
cana-3680	401	14	,	,	PUNCT
cana-3680	401	15	𝑛	𝑛	PRON
cana-3680	401	16	≥	≥	NOUN
cana-3680	401	17	0	0	NUM
cana-3680	401	18	.	.	PUNCT
cana-3680	402	1	(	(	PUNCT
cana-3680	402	2	3.30	3.30	NUM
cana-3680	402	3	)	)	PUNCT
cana-3680	402	4	since	since	SCONJ
cana-3680	402	5	{	{	PUNCT
cana-3680	402	6	1−𝜉𝑛	1−𝜉𝑛	NUM
cana-3680	402	7	𝜇𝑛	𝜇𝑛	NOUN
cana-3680	402	8	}	}	PUNCT
cana-3680	402	9	is	be	AUX
cana-3680	402	10	bounded	bound	VERB
cana-3680	402	11	.	.	PUNCT
cana-3680	403	1	we	we	PRON
cana-3680	403	2	have	have	VERB
cana-3680	403	3	𝜌𝑛	𝜌𝑛	PRON
cana-3680	403	4	=	=	PUNCT
cana-3680	403	5	𝑜(𝜖𝑛	𝑜(𝜖𝑛	PROPN
cana-3680	403	6	)	)	PUNCT
cana-3680	403	7	.	.	PUNCT
cana-3680	404	1	therefore	therefore	ADV
cana-3680	404	2	,	,	PUNCT
cana-3680	404	3	an	an	DET
cana-3680	404	4	application	application	NOUN
cana-3680	404	5	of	of	ADP
cana-3680	404	6	lemma	lemma	PROPN
cana-3680	404	7	3.1	3.1	NUM
cana-3680	404	8	to	to	PART
cana-3680	404	9	(	(	PUNCT
cana-3680	404	10	3.30	3.30	NUM
cana-3680	404	11	)	)	PUNCT
cana-3680	404	12	yields	yield	NOUN
cana-3680	404	13	𝑙𝑖𝑚	𝑙𝑖𝑚	VERB
cana-3680	404	14	𝑛→∞	𝑛→∞	NUM
cana-3680	404	15	𝜎𝑛	𝜎𝑛	PRON
cana-3680	404	16	=	=	VERB
cana-3680	404	17	𝑙𝑖𝑚	𝑙𝑖𝑚	ADJ
cana-3680	404	18	𝑛→∞	𝑛→∞	NUM
cana-3680	404	19	‖𝑞𝑛−	‖𝑞𝑛−	PROPN
cana-3680	404	20	𝑠𝑛‖	𝑠𝑛‖	PROPN
cana-3680	404	21	=	=	SYM
cana-3680	404	22	0	0	PROPN
cana-3680	404	23	.	.	PUNCT
cana-3680	405	1	since	since	SCONJ
cana-3680	405	2	𝑙𝑖𝑚	𝑙𝑖𝑚	ADJ
cana-3680	405	3	𝑛→∞	𝑛→∞	NUM
cana-3680	405	4	‖𝑞𝑛−	‖𝑞𝑛−	PROPN
cana-3680	405	5	𝑤	𝑤	ADP
cana-3680	405	6	∗‖	∗‖	PROPN
cana-3680	405	7	=	=	SYM
cana-3680	405	8	0	0	NUM
cana-3680	405	9	,	,	PUNCT
cana-3680	405	10	it	it	PRON
cana-3680	405	11	follows	follow	VERB
cana-3680	405	12	that	that	SCONJ
cana-3680	405	13	‖𝑠𝑛	‖𝑠𝑛	PROPN
cana-3680	405	14	−𝑤	−𝑤	PROPN
cana-3680	405	15	∗‖	∗‖	PROPN
cana-3680	405	16	≤	≤	PROPN
cana-3680	406	1	‖𝑞𝑛	‖𝑞𝑛	NUM
cana-3680	407	1	−	−	PROPN
cana-3680	407	2	𝑠𝑛‖	𝑠𝑛‖	PROPN
cana-3680	407	3	+	+	CCONJ
cana-3680	407	4	‖𝑞𝑛−	‖𝑞𝑛−	PROPN
cana-3680	407	5	𝑤	𝑤	ADP
cana-3680	407	6	∗‖	∗‖	PROPN
cana-3680	407	7	→	→	SYM
cana-3680	407	8	0,𝑎𝑠	0,𝑎𝑠	NUM
cana-3680	407	9	𝑛	𝑛	PROPN
cana-3680	407	10	→	→	SYM
cana-3680	407	11	∞.	∞.	PROPN
cana-3680	407	12	b	b	X
cana-3680	407	13	)	)	PUNCT
cana-3680	407	14	suppose	suppose	VERB
cana-3680	407	15	that	that	SCONJ
cana-3680	407	16	{	{	PUNCT
cana-3680	407	17	1−𝜉𝑛	1−𝜉𝑛	NUM
cana-3680	407	18	𝜉𝑛𝜇𝑛	𝜉𝑛𝜇𝑛	NOUN
cana-3680	407	19	}	}	PUNCT
cana-3680	407	20	is	be	AUX
cana-3680	407	21	bounded	bound	VERB
cana-3680	407	22	and	and	CCONJ
cana-3680	407	23	𝛴𝑛=0	𝛴𝑛=0	NOUN
cana-3680	407	24	∞	∞	PROPN
cana-3680	407	25	𝜇𝑛	𝜇𝑛	NOUN
cana-3680	407	26	=	=	SYM
cana-3680	407	27	∞	∞	PROPN
cana-3680	407	28	.	.	PUNCT
cana-3680	408	1	then	then	ADV
cana-3680	408	2	,	,	PUNCT
cana-3680	408	3	from	from	ADP
cana-3680	408	4	theorem	theorem	NOUN
cana-3680	408	5	(	(	PUNCT
cana-3680	408	6	3.2	3.2	NUM
cana-3680	408	7	)	)	PUNCT
cana-3680	408	8	,	,	PUNCT
cana-3680	408	9	{	{	PUNCT
cana-3680	408	10	𝑠𝑛	𝑠𝑛	NOUN
cana-3680	408	11	}	}	PUNCT
cana-3680	408	12	strongly	strongly	ADV
cana-3680	408	13	converges	converge	VERB
cana-3680	408	14	to	to	ADP
cana-3680	408	15	𝑤∗.	𝑤∗.	NOUN
cana-3680	408	16	we	we	PRON
cana-3680	408	17	now	now	ADV
cana-3680	408	18	show	show	VERB
cana-3680	408	19	that	that	SCONJ
cana-3680	408	20	{	{	PUNCT
cana-3680	408	21	𝑞𝑛	𝑞𝑛	NOUN
cana-3680	408	22	}	}	PUNCT
cana-3680	408	23	converges	converge	VERB
cana-3680	408	24	strongly	strongly	ADV
cana-3680	408	25	to	to	ADP
cana-3680	408	26	𝑤∗.	𝑤∗.	SYM
cana-3680	408	27	utilizing	utilize	VERB
cana-3680	408	28	(	(	PUNCT
cana-3680	408	29	3.3	3.3	NUM
cana-3680	408	30	)	)	PUNCT
cana-3680	408	31	,	,	PUNCT
cana-3680	408	32	(	(	PUNCT
cana-3680	408	33	3.6	3.6	NUM
cana-3680	408	34	)	)	PUNCT
cana-3680	408	35	,	,	PUNCT
cana-3680	408	36	(	(	PUNCT
cana-3680	408	37	3.7	3.7	NUM
cana-3680	408	38	)	)	PUNCT
cana-3680	408	39	and	and	CCONJ
cana-3680	408	40	(	(	PUNCT
cana-3680	408	41	3.13	3.13	NUM
cana-3680	408	42	)	)	PUNCT
cana-3680	408	43	,	,	PUNCT
cana-3680	408	44	we	we	PRON
cana-3680	408	45	have	have	VERB
cana-3680	408	46	∥	∥	X
cana-3680	408	47	sn+1	sn+1	NUM
cana-3680	408	48	−	−	PROPN
cana-3680	408	49	q	q	NOUN
cana-3680	409	1	n+1	n+1	NUM
cana-3680	409	2	∥=∥	∥=∥	PROPN
cana-3680	409	3	tn	tn	NOUN
cana-3680	409	4	−	−	PROPN
cana-3680	409	5	g(tn	g(tn	NOUN
cana-3680	409	6	)	)	PUNCT
cana-3680	410	1	+	+	NUM
cana-3680	410	2	j	j	PROPN
cana-3680	410	3	λ	λ	PROPN
cana-3680	410	4	,	,	PUNCT
cana-3680	410	5	n	n	PROPN
cana-3680	410	6	a	a	PRON
cana-3680	410	7	(	(	PUNCT
cana-3680	410	8	.	.	PUNCT
cana-3680	410	9	,	,	PUNCT
cana-3680	410	10	.	.	PUNCT
cana-3680	410	11	)	)	PUNCT
cana-3680	411	1	[	[	X
cana-3680	411	2	a(pog(tn),rog(tn))−	a(pog(tn),rog(tn))−	X
cana-3680	411	3	λ(s(tn)−	λ(s(tn)−	NOUN
cana-3680	411	4	t(tn))+	t(tn))+	VERB
cana-3680	411	5	λρ	λρ	ADV
cana-3680	411	6	]	]	PUNCT
cana-3680	411	7	−(1−	−(1−	ADP
cana-3680	411	8	ξ	ξ	PROPN
cana-3680	411	9	n	n	X
cana-3680	411	10	)	)	PUNCT
cana-3680	411	11	q	q	PROPN
cana-3680	412	1	n	n	PROPN
cana-3680	412	2	+	+	SYM
cana-3680	412	3	ξ	ξ	PROPN
cana-3680	412	4	n	n	PRON
cana-3680	413	1	[	[	X
cana-3680	413	2	rn	rn	X
cana-3680	413	3	−	−	PROPN
cana-3680	413	4	g(rn)+	g(rn)+	PROPN
cana-3680	414	1	jλ	jλ	ADP
cana-3680	414	2	,	,	PUNCT
cana-3680	414	3	n	n	PRON
cana-3680	414	4	a	a	PRON
cana-3680	414	5	(	(	PUNCT
cana-3680	414	6	.	.	PUNCT
cana-3680	414	7	,	,	PUNCT
cana-3680	414	8	.	.	PUNCT
cana-3680	414	9	)	)	PUNCT
cana-3680	415	1	[	[	X
cana-3680	415	2	a(pog(rn),rog(rn	a(pog(rn),rog(rn	NUM
cana-3680	415	3	)	)	PUNCT
cana-3680	415	4	)	)	PUNCT
cana-3680	416	1	−λ(s(rn)−	−λ(s(rn)−	NOUN
cana-3680	416	2	t(rn))+	t(rn))+	VERB
cana-3680	416	3	λρ	λρ	PRON
cana-3680	416	4	]	]	X
cana-3680	416	5	]	]	X
cana-3680	416	6	∥	∥	PUNCT
cana-3680	416	7	≤	≤	NOUN
cana-3680	416	8	(	(	PUNCT
cana-3680	416	9	1	1	NUM
cana-3680	416	10	−	−	PROPN
cana-3680	416	11	ξ	ξ	PROPN
cana-3680	416	12	n	n	X
cana-3680	416	13	)	)	PUNCT
cana-3680	416	14	∥	∥	NUM
cana-3680	416	15	q	q	NOUN
cana-3680	416	16	n	n	CCONJ
cana-3680	416	17	−	−	PROPN
cana-3680	416	18	f(tn	f(tn	NOUN
cana-3680	416	19	)	)	PUNCT
cana-3680	416	20	∥	∥	PUNCT
cana-3680	417	1	+	+	PUNCT
cana-3680	417	2	ξ	ξ	NOUN
cana-3680	417	3	n	n	PRON
cana-3680	417	4	∥	∥	X
cana-3680	417	5	f(rn)−	f(rn)−	X
cana-3680	417	6	f(tn	f(tn	X
cana-3680	417	7	)	)	PUNCT
cana-3680	417	8	∥	∥	PUNCT
cana-3680	417	9	≤	≤	NOUN
cana-3680	417	10	(	(	PUNCT
cana-3680	417	11	1	1	NUM
cana-3680	417	12	−	−	PROPN
cana-3680	417	13	ξ	ξ	PROPN
cana-3680	417	14	n	n	X
cana-3680	417	15	)	)	PUNCT
cana-3680	417	16	{	{	PUNCT
cana-3680	417	17	∥	∥	X
cana-3680	417	18	f(tn	f(tn	X
cana-3680	417	19	)	)	PUNCT
cana-3680	417	20	−	−	NOUN
cana-3680	417	21	f(w∗	f(w∗	SYM
cana-3680	417	22	)	)	PUNCT
cana-3680	417	23	∥	∥	PUNCT
cana-3680	418	1	+	+	NOUN
cana-3680	418	2	∥	∥	NOUN
cana-3680	418	3	f(w∗	f(w∗	NOUN
cana-3680	418	4	)	)	PUNCT
cana-3680	418	5	−	−	NOUN
cana-3680	418	6	sn	sn	NOUN
cana-3680	418	7	∥	∥	PUNCT
cana-3680	419	1	+	+	NOUN
cana-3680	419	2	∥	∥	NOUN
cana-3680	419	3	sn	sn	NOUN
cana-3680	419	4	−	−	PROPN
cana-3680	419	5	q	q	NOUN
cana-3680	419	6	n	n	X
cana-3680	419	7	∥	∥	PRON
cana-3680	419	8	}	}	PUNCT
cana-3680	420	1	+	+	NOUN
cana-3680	420	2	ξ	ξ	X
cana-3680	420	3	n	n	PRON
cana-3680	420	4	∥	∥	X
cana-3680	420	5	f(rn)−	f(rn)−	X
cana-3680	420	6	f(tn	f(tn	X
cana-3680	420	7	)	)	PUNCT
cana-3680	420	8	∥	∥	PUNCT
cana-3680	420	9	≤	≤	NOUN
cana-3680	420	10	(	(	PUNCT
cana-3680	420	11	1	1	NUM
cana-3680	420	12	−	−	PROPN
cana-3680	420	13	ξ	ξ	PROPN
cana-3680	420	14	n	n	NOUN
cana-3680	420	15	)	)	PUNCT
cana-3680	420	16	{	{	PUNCT
cana-3680	420	17	κ	κ	NOUN
cana-3680	420	18	∥	∥	PUNCT
cana-3680	420	19	tn	tn	NOUN
cana-3680	420	20	−	−	PROPN
cana-3680	420	21	w∗	w∗	NOUN
cana-3680	420	22	∥	∥	PUNCT
cana-3680	421	1	+	+	NOUN
cana-3680	421	2	∥	∥	NOUN
cana-3680	421	3	sn	sn	NOUN
cana-3680	421	4	−w∗	−w∗	NOUN
cana-3680	421	5	∥	∥	PUNCT
cana-3680	421	6	+	+	NOUN
cana-3680	421	7	∥	∥	NOUN
cana-3680	421	8	sn	sn	NOUN
cana-3680	421	9	−	−	NOUN
cana-3680	421	10	q	q	NOUN
cana-3680	421	11	n	n	NUM
cana-3680	421	12	∥}+	∥}+	NOUN
cana-3680	422	1	ξ	ξ	X
cana-3680	422	2	n	n	SYM
cana-3680	422	3	κ	κ	X
cana-3680	422	4	∥	∥	PROPN
cana-3680	422	5	tn	tn	PROPN
cana-3680	422	6	−	−	PROPN
cana-3680	422	7	rn	rn	NOUN
cana-3680	422	8	∥	∥	PROPN
cana-3680	422	9	,	,	PUNCT
cana-3680	422	10	(	(	PUNCT
cana-3680	422	11	3.31	3.31	NUM
cana-3680	422	12	)	)	PUNCT
cana-3680	422	13	communications	communication	NOUN
cana-3680	422	14	on	on	ADP
cana-3680	422	15	applied	apply	VERB
cana-3680	422	16	nonlinear	nonlinear	ADJ
cana-3680	422	17	analysis	analysis	NOUN
cana-3680	422	18	issn	issn	NOUN
cana-3680	422	19	:	:	PUNCT
cana-3680	422	20	1074	1074	NUM
cana-3680	422	21	-	-	PUNCT
cana-3680	422	22	133x	133x	NUM
cana-3680	422	23	vol	vol	NOUN
cana-3680	422	24	32	32	NUM
cana-3680	422	25	no	no	NOUN
cana-3680	422	26	.	.	PUNCT
cana-3680	423	1	8s	8s	PROPN
cana-3680	423	2	(	(	PUNCT
cana-3680	423	3	2025	2025	NUM
cana-3680	423	4	)	)	PUNCT
cana-3680	423	5	358	358	NUM
cana-3680	423	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3680	423	7	now	now	ADV
cana-3680	423	8	,	,	PUNCT
cana-3680	423	9	we	we	PRON
cana-3680	423	10	obtain	obtain	VERB
cana-3680	423	11	∥	∥	NUM
cana-3680	423	12	tn	tn	NOUN
cana-3680	423	13	−	−	PROPN
cana-3680	423	14	w∗	w∗	NOUN
cana-3680	423	15	∥=∥	∥=∥	SYM
cana-3680	423	16	(	(	PUNCT
cana-3680	423	17	1−	1−	NUM
cana-3680	423	18	μ	μ	PROPN
cana-3680	423	19	n	n	CCONJ
cana-3680	423	20	)	)	PUNCT
cana-3680	423	21	sn	sn	PROPN
cana-3680	424	1	+	+	CCONJ
cana-3680	424	2	μ	μ	PROPN
cana-3680	424	3	n	n	PROPN
cana-3680	425	1	[	[	X
cana-3680	425	2	sn	sn	INTJ
cana-3680	425	3	−	−	PROPN
cana-3680	425	4	g(sn)+	g(sn)+	PROPN
cana-3680	425	5	j	j	PROPN
cana-3680	425	6	λ	λ	PROPN
cana-3680	425	7	,	,	PUNCT
cana-3680	425	8	n	n	PRON
cana-3680	425	9	a	a	PRON
cana-3680	425	10	(	(	PUNCT
cana-3680	425	11	.	.	PUNCT
cana-3680	425	12	,	,	PUNCT
cana-3680	425	13	.	.	PUNCT
cana-3680	425	14	)	)	PUNCT
cana-3680	426	1	[	[	X
cana-3680	426	2	a(pog(sn),rog(sn	a(pog(sn),rog(sn	NOUN
cana-3680	426	3	)	)	PUNCT
cana-3680	426	4	)	)	PUNCT
cana-3680	427	1	−λ(s(sn	−λ(s(sn	ADJ
cana-3680	427	2	)	)	PUNCT
cana-3680	427	3	−	−	PROPN
cana-3680	427	4	t(sn))+	t(sn))+	NOUN
cana-3680	427	5	λρ	λρ	ADV
cana-3680	427	6	]	]	X
cana-3680	427	7	]	]	X
cana-3680	427	8	−w∗	−w∗	NOUN
cana-3680	427	9	∥	∥	NOUN
cana-3680	427	10	≤	≤	NOUN
cana-3680	427	11	(	(	PUNCT
cana-3680	427	12	1	1	NUM
cana-3680	427	13	−	−	PROPN
cana-3680	427	14	μ	μ	PROPN
cana-3680	427	15	n	n	PROPN
cana-3680	427	16	)	)	PUNCT
cana-3680	427	17	∥	∥	NUM
cana-3680	427	18	sn	sn	NOUN
cana-3680	428	1	−	−	PROPN
cana-3680	429	1	w∗	w∗	NOUN
cana-3680	429	2	∥	∥	PUNCT
cana-3680	430	1	+	+	NOUN
cana-3680	430	2	μ	μ	NOUN
cana-3680	430	3	n	n	CCONJ
cana-3680	430	4	∥	∥	NUM
cana-3680	430	5	f(sn)−	f(sn)−	NOUN
cana-3680	430	6	f(w∗	f(w∗	NOUN
cana-3680	430	7	)	)	PUNCT
cana-3680	430	8	∥	∥	NOUN
cana-3680	430	9	≤	≤	NOUN
cana-3680	430	10	(	(	PUNCT
cana-3680	430	11	1	1	NUM
cana-3680	430	12	−	−	PROPN
cana-3680	430	13	μ	μ	PROPN
cana-3680	430	14	n	n	PROPN
cana-3680	430	15	)	)	PUNCT
cana-3680	430	16	∥	∥	NUM
cana-3680	430	17	sn	sn	NOUN
cana-3680	430	18	−	−	PROPN
cana-3680	430	19	w∗	w∗	NOUN
cana-3680	430	20	∥	∥	PUNCT
cana-3680	431	1	+	+	NOUN
cana-3680	431	2	μ	μ	NOUN
cana-3680	431	3	n	n	SYM
cana-3680	431	4	κ	κ	NOUN
cana-3680	431	5	∥	∥	X
cana-3680	431	6	sn	sn	NOUN
cana-3680	431	7	−w∗	−w∗	NOUN
cana-3680	431	8	∥	∥	NOUN
cana-3680	431	9	≤	≤	NOUN
cana-3680	432	1	[	[	X
cana-3680	432	2	1	1	NUM
cana-3680	432	3	−	−	PROPN
cana-3680	432	4	(	(	PUNCT
cana-3680	432	5	1−	1−	NUM
cana-3680	432	6	κ)μ	κ)μ	X
cana-3680	432	7	n	n	CCONJ
cana-3680	432	8	]	]	PUNCT
cana-3680	432	9	∥	∥	X
cana-3680	432	10	sn	sn	PROPN
cana-3680	432	11	−	−	PROPN
cana-3680	432	12	w∗	w∗	PROPN
cana-3680	432	13	∥.	∥.	X
cana-3680	432	14	(	(	PUNCT
cana-3680	432	15	3.32	3.32	NUM
cana-3680	432	16	)	)	PUNCT
cana-3680	432	17	and	and	CCONJ
cana-3680	432	18	,	,	PUNCT
cana-3680	432	19	∥	∥	PROPN
cana-3680	432	20	tn	tn	NOUN
cana-3680	432	21	−	−	PROPN
cana-3680	432	22	rn	rn	PROPN
cana-3680	432	23	∥=∥	∥=∥	PROPN
cana-3680	432	24	(	(	PUNCT
cana-3680	432	25	1−	1−	NUM
cana-3680	432	26	μ	μ	PROPN
cana-3680	432	27	n	n	PROPN
cana-3680	432	28	)	)	PUNCT
cana-3680	432	29	(	(	PUNCT
cana-3680	432	30	sn	sn	INTJ
cana-3680	432	31	−	−	PROPN
cana-3680	432	32	q	q	PROPN
cana-3680	432	33	n	n	NOUN
cana-3680	432	34	)	)	PUNCT
cana-3680	432	35	+	+	CCONJ
cana-3680	432	36	μ	μ	PROPN
cana-3680	432	37	n	n	PROPN
cana-3680	433	1	[	[	X
cana-3680	433	2	sn	sn	INTJ
cana-3680	433	3	−	−	PROPN
cana-3680	433	4	g(sn)+	g(sn)+	PROPN
cana-3680	433	5	j	j	PROPN
cana-3680	433	6	λ	λ	PROPN
cana-3680	433	7	,	,	PUNCT
cana-3680	433	8	n	n	PRON
cana-3680	433	9	a	a	PRON
cana-3680	433	10	(	(	PUNCT
cana-3680	433	11	.	.	PUNCT
cana-3680	433	12	,	,	PUNCT
cana-3680	433	13	.	.	PUNCT
cana-3680	433	14	)	)	PUNCT
cana-3680	434	1	[	[	X
cana-3680	434	2	a(pog(sn),rog(sn	a(pog(sn),rog(sn	NOUN
cana-3680	434	3	)	)	PUNCT
cana-3680	434	4	)	)	PUNCT
cana-3680	435	1	−λ(s(sn	−λ(s(sn	ADJ
cana-3680	435	2	)	)	PUNCT
cana-3680	435	3	−	−	PROPN
cana-3680	435	4	t(sn))+	t(sn))+	NOUN
cana-3680	435	5	λρ	λρ	ADV
cana-3680	435	6	]	]	X
cana-3680	435	7	]	]	X
cana-3680	435	8	−	−	PROPN
cana-3680	436	1	[	[	X
cana-3680	436	2	q	q	X
cana-3680	436	3	n	n	CCONJ
cana-3680	436	4	−	−	PROPN
cana-3680	436	5	g(q	g(q	PROPN
cana-3680	436	6	n	n	CCONJ
cana-3680	436	7	)	)	PUNCT
cana-3680	437	1	+	+	CCONJ
cana-3680	437	2	j	j	PROPN
cana-3680	437	3	λ	λ	PROPN
cana-3680	437	4	,	,	PUNCT
cana-3680	437	5	n	n	PRON
cana-3680	437	6	a	a	PRON
cana-3680	437	7	(	(	PUNCT
cana-3680	437	8	.	.	PUNCT
cana-3680	437	9	,	,	PUNCT
cana-3680	437	10	.	.	PUNCT
cana-3680	437	11	)	)	PUNCT
cana-3680	438	1	[	[	X
cana-3680	438	2	a(pog(q	a(pog(q	NOUN
cana-3680	438	3	n	n	NOUN
cana-3680	438	4	)	)	PUNCT
cana-3680	438	5	,	,	PUNCT
cana-3680	438	6	rog(q	rog(q	PROPN
cana-3680	438	7	n	n	NOUN
cana-3680	438	8	)	)	PUNCT
cana-3680	438	9	)	)	PUNCT
cana-3680	439	1	−λ(s(q	−λ(s(q	PROPN
cana-3680	439	2	n	n	PART
cana-3680	439	3	)	)	PUNCT
cana-3680	439	4	−	−	PROPN
cana-3680	439	5	t(q	t(q	PROPN
cana-3680	439	6	n	n	CCONJ
cana-3680	439	7	)	)	PUNCT
cana-3680	439	8	)	)	PUNCT
cana-3680	440	1	+	+	CCONJ
cana-3680	440	2	λρ	λρ	ADV
cana-3680	440	3	]	]	X
cana-3680	440	4	]	]	X
cana-3680	440	5	∥	∥	PUNCT
cana-3680	440	6	≤	≤	NUM
cana-3680	440	7	(	(	PUNCT
cana-3680	440	8	1	1	NUM
cana-3680	440	9	−	−	PROPN
cana-3680	440	10	μ	μ	PROPN
cana-3680	440	11	n	n	PROPN
cana-3680	440	12	)	)	PUNCT
cana-3680	441	1	∥	∥	PROPN
cana-3680	441	2	sn	sn	NOUN
cana-3680	442	1	−	−	NOUN
cana-3680	442	2	q	q	NOUN
cana-3680	442	3	n	n	CCONJ
cana-3680	442	4	∥	∥	NUM
cana-3680	443	1	+	+	NOUN
cana-3680	443	2	μ	μ	NOUN
cana-3680	443	3	n	n	CCONJ
cana-3680	443	4	∥	∥	NUM
cana-3680	443	5	f(sn	f(sn	NOUN
cana-3680	443	6	)	)	PUNCT
cana-3680	443	7	−	−	ADP
cana-3680	443	8	f(w∗	f(w∗	SYM
cana-3680	443	9	)	)	PUNCT
cana-3680	443	10	∥	∥	PUNCT
cana-3680	443	11	≤	≤	NOUN
cana-3680	444	1	[	[	X
cana-3680	444	2	1	1	NUM
cana-3680	444	3	−	−	PROPN
cana-3680	444	4	(	(	PUNCT
cana-3680	444	5	1−	1−	NUM
cana-3680	444	6	κ)μ	κ)μ	X
cana-3680	444	7	n	n	CCONJ
cana-3680	444	8	]	]	PUNCT
cana-3680	444	9	∥	∥	X
cana-3680	444	10	sn	sn	NOUN
cana-3680	444	11	−	−	NOUN
cana-3680	444	12	q	q	NOUN
cana-3680	444	13	n	n	NUM
cana-3680	444	14	∥.	∥.	NUM
cana-3680	444	15	(	(	PUNCT
cana-3680	444	16	3.33	3.33	NUM
cana-3680	444	17	)	)	PUNCT
cana-3680	444	18	substituting	substituting	NOUN
cana-3680	444	19	(	(	PUNCT
cana-3680	444	20	3.32	3.32	NUM
cana-3680	444	21	)	)	PUNCT
cana-3680	444	22	and	and	CCONJ
cana-3680	444	23	(	(	PUNCT
cana-3680	444	24	3.33	3.33	NUM
cana-3680	444	25	)	)	PUNCT
cana-3680	444	26	into	into	ADP
cana-3680	444	27	(	(	PUNCT
cana-3680	444	28	3.31	3.31	NUM
cana-3680	444	29	)	)	PUNCT
cana-3680	444	30	,	,	PUNCT
cana-3680	444	31	we	we	PRON
cana-3680	444	32	obtain	obtain	VERB
cana-3680	444	33	∥	∥	NUM
cana-3680	444	34	sn+1	sn+1	NUM
cana-3680	444	35	−	−	PROPN
cana-3680	444	36	q	q	NOUN
cana-3680	445	1	n+1	n+1	NUM
cana-3680	445	2	∥=	∥=	NOUN
cana-3680	445	3	ξ	ξ	PROPN
cana-3680	445	4	n	n	PROPN
cana-3680	445	5	κ([1−	κ([1−	PROPN
cana-3680	445	6	(	(	PUNCT
cana-3680	445	7	1−	1−	NUM
cana-3680	445	8	κ)μ	κ)μ	X
cana-3680	445	9	n	n	CCONJ
cana-3680	445	10	]	]	PUNCT
cana-3680	445	11	∥	∥	X
cana-3680	445	12	sn	sn	NOUN
cana-3680	445	13	−	−	NOUN
cana-3680	445	14	q	q	NOUN
cana-3680	445	15	n	n	CCONJ
cana-3680	445	16	∥	∥	PUNCT
cana-3680	445	17	+	+	NOUN
cana-3680	445	18	(	(	PUNCT
cana-3680	445	19	1−	1−	NUM
cana-3680	445	20	ξ	ξ	PROPN
cana-3680	445	21	n	n	X
cana-3680	445	22	)	)	PUNCT
cana-3680	445	23	{	{	PUNCT
cana-3680	445	24	κ[1−	κ[1−	NOUN
cana-3680	445	25	(	(	PUNCT
cana-3680	445	26	1−	1−	NUM
cana-3680	445	27	κ)μ	κ)μ	X
cana-3680	445	28	n	n	CCONJ
cana-3680	445	29	]	]	PUNCT
cana-3680	445	30	∥	∥	X
cana-3680	445	31	sn	sn	PROPN
cana-3680	445	32	−	−	PROPN
cana-3680	445	33	w∗	w∗	NOUN
cana-3680	445	34	∥	∥	PUNCT
cana-3680	445	35	+	+	NOUN
cana-3680	445	36	∥	∥	PROPN
cana-3680	445	37	sn	sn	NOUN
cana-3680	445	38	−	−	PROPN
cana-3680	445	39	w∗	w∗	NOUN
cana-3680	445	40	∥	∥	PUNCT
cana-3680	446	1	+	+	NOUN
cana-3680	446	2	∥	∥	PROPN
cana-3680	446	3	sn	sn	NOUN
cana-3680	446	4	−	−	PROPN
cana-3680	446	5	q	q	NOUN
cana-3680	446	6	n	n	X
cana-3680	446	7	∥	∥	NUM
cana-3680	446	8	}	}	PUNCT
cana-3680	446	9	)	)	PUNCT
cana-3680	447	1	≤	≤	NOUN
cana-3680	448	1	[	[	X
cana-3680	448	2	1	1	NUM
cana-3680	448	3	−	−	PROPN
cana-3680	448	4	(	(	PUNCT
cana-3680	448	5	1−	1−	NUM
cana-3680	448	6	κ)ξ	κ)ξ	X
cana-3680	448	7	n	n	PROPN
cana-3680	448	8	μ	μ	PROPN
cana-3680	448	9	n	n	X
cana-3680	448	10	]	]	PUNCT
cana-3680	448	11	∥	∥	X
cana-3680	448	12	sn	sn	NOUN
cana-3680	448	13	−	−	NOUN
cana-3680	448	14	q	q	NOUN
cana-3680	448	15	n	n	CCONJ
cana-3680	448	16	∥	∥	PUNCT
cana-3680	448	17	+	+	NOUN
cana-3680	448	18	(	(	PUNCT
cana-3680	448	19	1	1	NUM
cana-3680	448	20	+	+	NUM
cana-3680	448	21	κ)(1−	κ)(1−	PROPN
cana-3680	448	22	ξ	ξ	PROPN
cana-3680	448	23	n	n	X
cana-3680	448	24	)	)	PUNCT
cana-3680	448	25	∥	∥	PUNCT
cana-3680	448	26	sn	sn	NOUN
cana-3680	448	27	−w∗	−w∗	NOUN
cana-3680	448	28	∥.	∥.	NOUN
cana-3680	448	29	(	(	PUNCT
cana-3680	448	30	3.34	3.34	NUM
cana-3680	448	31	)	)	PUNCT
cana-3680	448	32	set	set	VERB
cana-3680	448	33	𝜎𝑛	𝜎𝑛	NOUN
cana-3680	448	34	:	:	PUNCT
cana-3680	449	1	=	=	X
cana-3680	449	2	∥	∥	X
cana-3680	449	3	𝑠𝑛	𝑠𝑛	NOUN
cana-3680	449	4	−	−	NOUN
cana-3680	449	5	𝑞𝑛	𝑞𝑛	NOUN
cana-3680	449	6	∥	∥	NOUN
cana-3680	449	7	,	,	PUNCT
cana-3680	449	8	𝜖𝑛	𝜖𝑛	X
cana-3680	449	9	:	:	PUNCT
cana-3680	449	10	=	=	SYM
cana-3680	449	11	𝜉𝑛𝜇𝑛	𝜉𝑛𝜇𝑛	PROPN
cana-3680	449	12	,	,	PUNCT
cana-3680	449	13	and	and	CCONJ
cana-3680	449	14	𝜌𝑛	𝜌𝑛	ADP
cana-3680	449	15	:	:	PUNCT
cana-3680	449	16	=	=	SYM
cana-3680	449	17	(	(	PUNCT
cana-3680	449	18	1+𝜅)(1−	1+𝜅)(1−	NUM
cana-3680	449	19	𝜉𝑛	𝜉𝑛	NOUN
cana-3680	449	20	)	)	PUNCT
cana-3680	449	21	∥	∥	NOUN
cana-3680	449	22	𝑠𝑛	𝑠𝑛	NOUN
cana-3680	449	23	−𝑤	−𝑤	PROPN
cana-3680	449	24	∗	∗	VERB
cana-3680	449	25	∥	∥	PUNCT
cana-3680	449	26	.	.	PUNCT
cana-3680	450	1	note	note	VERB
cana-3680	450	2	that	that	SCONJ
cana-3680	450	3	{	{	PUNCT
cana-3680	450	4	1−𝜉𝑛	1−𝜉𝑛	NUM
cana-3680	450	5	𝜇𝑛𝜉𝑛	𝜇𝑛𝜉𝑛	NOUN
cana-3680	450	6	}	}	PUNCT
cana-3680	450	7	is	be	AUX
cana-3680	450	8	bounded	bound	VERB
cana-3680	450	9	.	.	PUNCT
cana-3680	451	1	also	also	ADV
cana-3680	451	2	,	,	PUNCT
cana-3680	451	3	lim𝑛→∞	lim𝑛→∞	NOUN
cana-3680	451	4	∥	∥	NOUN
cana-3680	451	5	𝑠𝑛	𝑠𝑛	NOUN
cana-3680	451	6	−	−	NOUN
cana-3680	451	7	𝑤	𝑤	ADP
cana-3680	451	8	∗	∗	NOUN
cana-3680	451	9	∥=	∥=	NOUN
cana-3680	451	10	0	0	NUM
cana-3680	451	11	,	,	PUNCT
cana-3680	451	12	𝜌𝑛	𝜌𝑛	PRON
cana-3680	451	13	=	=	SYM
cana-3680	451	14	𝑜(𝜖𝑛	𝑜(𝜖𝑛	PROPN
cana-3680	451	15	)	)	PUNCT
cana-3680	451	16	and	and	CCONJ
cana-3680	451	17	𝛴𝑛=0	𝛴𝑛=0	NOUN
cana-3680	451	18	∞	∞	PROPN
cana-3680	451	19	𝜇𝑛	𝜇𝑛	NOUN
cana-3680	451	20	=	=	SYM
cana-3680	451	21	∞	∞	PROPN
cana-3680	451	22	.	.	PUNCT
cana-3680	452	1	therefore	therefore	ADV
cana-3680	452	2	,	,	PUNCT
cana-3680	452	3	an	an	DET
cana-3680	452	4	application	application	NOUN
cana-3680	452	5	lemma	lemma	PROPN
cana-3680	452	6	3.1	3.1	NUM
cana-3680	452	7	to	to	PART
cana-3680	452	8	(	(	PUNCT
cana-3680	452	9	3.34	3.34	NUM
cana-3680	452	10	)	)	PUNCT
cana-3680	452	11	yield	yield	NOUN
cana-3680	452	12	lim𝑛→∞𝜎𝑛	lim𝑛→∞𝜎𝑛	NOUN
cana-3680	452	13	=	=	PUNCT
cana-3680	452	14	lim𝑛→∞	lim𝑛→∞	PROPN
cana-3680	452	15	∥	∥	PUNCT
cana-3680	452	16	𝑠𝑛	𝑠𝑛	NOUN
cana-3680	452	17	−	−	PROPN
cana-3680	452	18	𝑞𝑛	𝑞𝑛	ADP
cana-3680	452	19	∥=	∥=	ADJ
cana-3680	452	20	0	0	NUM
cana-3680	452	21	.	.	PUNCT
cana-3680	453	1	when	when	SCONJ
cana-3680	453	2	lim𝑛→∞	lim𝑛→∞	NOUN
cana-3680	453	3	∥	∥	X
cana-3680	453	4	𝑠𝑛	𝑠𝑛	NOUN
cana-3680	453	5	−𝑤	−𝑤	PROPN
cana-3680	453	6	∗	∗	NOUN
cana-3680	453	7	∥=	∥=	NOUN
cana-3680	453	8	0	0	NUM
cana-3680	453	9	and	and	CCONJ
cana-3680	453	10	∥	∥	NUM
cana-3680	453	11	𝑞𝑛	𝑞𝑛	NOUN
cana-3680	453	12	−	−	NOUN
cana-3680	453	13	𝑤	𝑤	PROPN
cana-3680	453	14	∗	∗	NOUN
cana-3680	453	15	∥≤∥	∥≤∥	PROPN
cana-3680	453	16	𝑠𝑛	𝑠𝑛	NOUN
cana-3680	453	17	−	−	PROPN
cana-3680	453	18	𝑞𝑛	𝑞𝑛	ADP
cana-3680	453	19	∥	∥	PUNCT
cana-3680	454	1	+	+	NOUN
cana-3680	454	2	∥	∥	NOUN
cana-3680	454	3	𝑠𝑛	𝑠𝑛	NOUN
cana-3680	454	4	−𝑤	−𝑤	PROPN
cana-3680	454	5	∗	∗	NOUN
cana-3680	454	6	∥	∥	PROPN
cana-3680	454	7	,	,	PUNCT
cana-3680	454	8	we	we	PRON
cana-3680	454	9	deduce	deduce	VERB
cana-3680	454	10	that	that	DET
cana-3680	454	11	lim𝑛→∞	lim𝑛→∞	NOUN
cana-3680	454	12	∥	∥	PUNCT
cana-3680	454	13	𝑞𝑛	𝑞𝑛	ADP
cana-3680	454	14	−	−	PROPN
cana-3680	454	15	𝑤	𝑤	PROPN
cana-3680	454	16	∗	∗	NOUN
cana-3680	454	17	∥=	∥=	NOUN
cana-3680	454	18	0	0	NUM
cana-3680	454	19	.	.	PUNCT
cana-3680	455	1	theorem	theorem	VERB
cana-3680	455	2	3.5	3.5	NUM
cana-3680	455	3	(	(	PUNCT
cana-3680	455	4	a	a	NOUN
cana-3680	455	5	)	)	PUNCT
cana-3680	455	6	establishes	establish	VERB
cana-3680	455	7	the	the	DET
cana-3680	455	8	strong	strong	ADJ
cana-3680	455	9	convergence	convergence	NOUN
cana-3680	455	10	of	of	ADP
cana-3680	455	11	{	{	PUNCT
cana-3680	455	12	𝑠𝑛	𝑠𝑛	NOUN
cana-3680	455	13	}	}	PUNCT
cana-3680	455	14	to	to	PART
cana-3680	455	15	𝑤∗	𝑤∗	VERB
cana-3680	455	16	under	under	ADP
cana-3680	455	17	convergence	convergence	NOUN
cana-3680	455	18	of	of	ADP
cana-3680	455	19	{	{	PUNCT
cana-3680	455	20	𝑞𝑛	𝑞𝑛	NOUN
cana-3680	455	21	}	}	PUNCT
cana-3680	455	22	and	and	CCONJ
cana-3680	455	23	the	the	DET
cana-3680	455	24	condition𝛴𝑛=0	condition𝛴𝑛=0	NOUN
cana-3680	455	25	∞	∞	PROPN
cana-3680	455	26	𝜇𝑛	𝜇𝑛	PROPN
cana-3680	455	27	=	=	PUNCT
cana-3680	455	28	∞.	∞.	PROPN
cana-3680	455	29	theorem	theorem	VERB
cana-3680	455	30	3.5	3.5	NUM
cana-3680	455	31	(	(	PUNCT
cana-3680	455	32	b	b	NOUN
cana-3680	455	33	)	)	PUNCT
cana-3680	455	34	establishes	establish	VERB
cana-3680	455	35	a	a	DET
cana-3680	455	36	new	new	ADJ
cana-3680	455	37	convergence	convergence	NOUN
cana-3680	455	38	theorem	theorem	NOUN
cana-3680	455	39	for	for	ADP
cana-3680	455	40	{	{	PUNCT
cana-3680	455	41	𝑞𝑛	𝑞𝑛	NOUN
cana-3680	455	42	}	}	PUNCT
cana-3680	455	43	under	under	ADP
cana-3680	455	44	boundedness	boundedness	NOUN
cana-3680	455	45	of	of	ADP
cana-3680	455	46	{	{	PUNCT
cana-3680	455	47	1−𝜉𝑛	1−𝜉𝑛	PROPN
cana-3680	455	48	𝜇𝑛𝜉𝑛	𝜇𝑛𝜉𝑛	NOUN
cana-3680	455	49	}	}	PUNCT
cana-3680	455	50	and	and	CCONJ
cana-3680	455	51	divergence	divergence	NOUN
cana-3680	455	52	of	of	ADP
cana-3680	455	53	𝛴𝑛=0	𝛴𝑛=0	NOUN
cana-3680	455	54	∞	∞	PROPN
cana-3680	455	55	𝜉𝑛𝜇𝑛.	𝜉𝑛𝜇𝑛.	NOUN
cana-3680	455	56	4	4	NUM
cana-3680	455	57	.	.	PUNCT
cana-3680	456	1	numerical	numerical	ADJ
cana-3680	456	2	results	result	NOUN
cana-3680	456	3	in	in	ADP
cana-3680	456	4	this	this	DET
cana-3680	456	5	section	section	NOUN
cana-3680	456	6	,	,	PUNCT
cana-3680	456	7	we	we	PRON
cana-3680	456	8	provide	provide	VERB
cana-3680	456	9	an	an	DET
cana-3680	456	10	illustrative	illustrative	ADJ
cana-3680	456	11	example	example	NOUN
cana-3680	456	12	and	and	CCONJ
cana-3680	456	13	numerical	numerical	ADJ
cana-3680	456	14	results	result	NOUN
cana-3680	456	15	that	that	PRON
cana-3680	456	16	serve	serve	VERB
cana-3680	456	17	to	to	PART
cana-3680	456	18	exemplify	exemplify	VERB
cana-3680	456	19	the	the	DET
cana-3680	456	20	algorithm	algorithm	NOUN
cana-3680	456	21	's	's	PART
cana-3680	456	22	applicability	applicability	NOUN
cana-3680	456	23	,	,	PUNCT
cana-3680	456	24	demonstrating	demonstrate	VERB
cana-3680	456	25	not	not	PART
cana-3680	456	26	only	only	ADV
cana-3680	456	27	the	the	DET
cana-3680	456	28	primary	primary	ADJ
cana-3680	456	29	outcomes	outcome	NOUN
cana-3680	456	30	of	of	ADP
cana-3680	456	31	our	our	PRON
cana-3680	456	32	paper	paper	NOUN
cana-3680	456	33	but	but	CCONJ
cana-3680	456	34	also	also	ADV
cana-3680	456	35	the	the	DET
cana-3680	456	36	efficiency	efficiency	NOUN
cana-3680	456	37	and	and	CCONJ
cana-3680	456	38	convergence	convergence	NOUN
cana-3680	456	39	of	of	ADP
cana-3680	456	40	the	the	DET
cana-3680	456	41	sequence	sequence	NOUN
cana-3680	456	42	generated	generate	VERB
cana-3680	456	43	through	through	ADP
cana-3680	456	44	the	the	DET
cana-3680	456	45	iterative	iterative	NOUN
cana-3680	456	46	approach	approach	NOUN
cana-3680	456	47	.	.	PUNCT
cana-3680	457	1	communications	communication	NOUN
cana-3680	457	2	on	on	ADP
cana-3680	457	3	applied	apply	VERB
cana-3680	457	4	nonlinear	nonlinear	ADJ
cana-3680	457	5	analysis	analysis	NOUN
cana-3680	457	6	issn	issn	NOUN
cana-3680	457	7	:	:	PUNCT
cana-3680	457	8	1074	1074	NUM
cana-3680	457	9	-	-	PUNCT
cana-3680	457	10	133x	133x	NUM
cana-3680	457	11	vol	vol	NOUN
cana-3680	457	12	32	32	NUM
cana-3680	457	13	no	no	NOUN
cana-3680	457	14	.	.	PUNCT
cana-3680	458	1	8s	8s	PROPN
cana-3680	458	2	(	(	PUNCT
cana-3680	458	3	2025	2025	NUM
cana-3680	458	4	)	)	PUNCT
cana-3680	458	5	359	359	NUM
cana-3680	458	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3680	458	7	example	example	NOUN
cana-3680	458	8	4.1	4.1	NUM
cana-3680	458	9	.	.	PUNCT
cana-3680	459	1	let	let	VERB
cana-3680	459	2	ℋ	ℋ	PROPN
cana-3680	459	3	=	=	PUNCT
cana-3680	459	4	ℛ	ℛ	PROPN
cana-3680	459	5	and	and	CCONJ
cana-3680	459	6	define	define	VERB
cana-3680	459	7	𝐻,𝑀,𝑁	𝐻,𝑀,𝑁	NOUN
cana-3680	459	8	,	,	PUNCT
cana-3680	459	9	𝑆	𝑆	PROPN
cana-3680	459	10	,	,	PUNCT
cana-3680	459	11	𝑇	𝑇	PROPN
cana-3680	459	12	,	,	PUNCT
cana-3680	459	13	𝑃	𝑃	PROPN
cana-3680	459	14	,	,	PUNCT
cana-3680	459	15	𝑅	𝑅	PROPN
cana-3680	459	16	,	,	PUNCT
cana-3680	459	17	𝑔:ℛ	𝑔:ℛ	PROPN
cana-3680	459	18	→	→	SYM
cana-3680	459	19	ℛ	ℛ	PROPN
cana-3680	459	20	and	and	CCONJ
cana-3680	459	21	𝐴:ℛ×ℛ	𝐴:ℛ×ℛ	PROPN
cana-3680	459	22	→	→	SYM
cana-3680	459	23	ℛ	ℛ	PROPN
cana-3680	459	24	by	by	ADP
cana-3680	459	25	𝐻(𝑤	𝐻(𝑤	ADJ
cana-3680	459	26	)	)	PUNCT
cana-3680	459	27	=	=	SYM
cana-3680	459	28	27𝑤	27𝑤	NOUN
cana-3680	459	29	4	4	NUM
cana-3680	459	30	,	,	PUNCT
cana-3680	459	31	𝑀(𝑤	𝑀(𝑤	NOUN
cana-3680	459	32	)	)	PUNCT
cana-3680	459	33	=	=	PUNCT
cana-3680	459	34	𝑤	𝑤	ADP
cana-3680	459	35	4	4	NUM
cana-3680	459	36	+	+	SYM
cana-3680	459	37	1	1	NUM
cana-3680	459	38	,	,	PUNCT
cana-3680	459	39	𝑁(𝑤	𝑁(𝑤	NOUN
cana-3680	459	40	)	)	PUNCT
cana-3680	459	41	=	=	SYM
cana-3680	459	42	𝑤−	𝑤−	PROPN
cana-3680	459	43	1	1	NUM
cana-3680	459	44	,	,	PUNCT
cana-3680	459	45	𝑆(𝑤	𝑆(𝑤	NUM
cana-3680	459	46	)	)	PUNCT
cana-3680	459	47	=	=	SYM
cana-3680	459	48	9𝑤	9𝑤	NOUN
cana-3680	459	49	2	2	NUM
cana-3680	459	50	,	,	PUNCT
cana-3680	459	51	𝑇(𝑤	𝑇(𝑤	NOUN
cana-3680	459	52	)	)	PUNCT
cana-3680	459	53	=	=	SYM
cana-3680	459	54	7𝑤	7𝑤	NOUN
cana-3680	459	55	2	2	NUM
cana-3680	459	56	,	,	PUNCT
cana-3680	459	57	,	,	PUNCT
cana-3680	459	58	𝑃(𝑤	𝑃(𝑤	PROPN
cana-3680	459	59	)	)	PUNCT
cana-3680	459	60	=	=	SYM
cana-3680	459	61	3𝑤	3𝑤	NUM
cana-3680	459	62	,	,	PUNCT
cana-3680	459	63	𝑅(𝑤	𝑅(𝑤	X
cana-3680	459	64	)	)	PUNCT
cana-3680	459	65	=	=	SYM
cana-3680	459	66	𝑤	𝑤	ADP
cana-3680	459	67	2	2	NUM
cana-3680	459	68	,	,	PUNCT
cana-3680	459	69	𝑔(𝑤	𝑔(𝑤	NOUN
cana-3680	459	70	)	)	PUNCT
cana-3680	459	71	=	=	SYM
cana-3680	460	1	2𝑤	2𝑤	NUM
cana-3680	460	2	3	3	NUM
cana-3680	460	3	,	,	PUNCT
cana-3680	460	4	𝐴(𝑤	𝐴(𝑤	NUM
cana-3680	460	5	)	)	PUNCT
cana-3680	460	6	=	=	NOUN
cana-3680	460	7	3𝑤	3𝑤	NUM
cana-3680	460	8	4	4	NUM
cana-3680	460	9	−	−	NOUN
cana-3680	460	10	1	1	NUM
cana-3680	460	11	,	,	PUNCT
cana-3680	460	12	𝐴(𝑃(𝑤),𝑅(𝑤	𝐴(𝑃(𝑤),𝑅(𝑤	PROPN
cana-3680	460	13	)	)	PUNCT
cana-3680	460	14	)	)	PUNCT
cana-3680	461	1	=	=	SYM
cana-3680	461	2	𝑃(𝑤	𝑃(𝑤	X
cana-3680	461	3	)	)	PUNCT
cana-3680	461	4	+	+	CCONJ
cana-3680	461	5	𝑅(𝑤),for	𝑅(𝑤),for	ADP
cana-3680	461	6	all𝑤	all𝑤	PROPN
cana-3680	461	7	∈	∈	PROPN
cana-3680	461	8	ℋ.for	ℋ.for	PROPN
cana-3680	461	9	𝜆	𝜆	SYM
cana-3680	461	10	=	=	SYM
cana-3680	461	11	1	1	NUM
cana-3680	461	12	and	and	CCONJ
cana-3680	461	13	=	=	PUNCT
cana-3680	461	14	−2	−2	NOUN
cana-3680	461	15	,	,	PUNCT
cana-3680	461	16	we	we	PRON
cana-3680	461	17	have	have	VERB
cana-3680	461	18	𝐽	𝐽	PROPN
cana-3680	461	19	𝜆	𝜆	NOUN
cana-3680	461	20	,	,	PUNCT
cana-3680	461	21	𝑁	𝑁	PROPN
cana-3680	461	22	𝐴	𝐴	PROPN
cana-3680	461	23	(	(	PUNCT
cana-3680	461	24	.	.	PUNCT
cana-3680	461	25	,	,	PUNCT
cana-3680	461	26	.	.	PUNCT
cana-3680	461	27	)	)	PUNCT
cana-3680	462	1	(	(	PUNCT
cana-3680	462	2	𝑤	𝑤	X
cana-3680	462	3	)	)	PUNCT
cana-3680	462	4	=	=	SYM
cana-3680	462	5	2(𝑤+2	2(𝑤+2	NUM
cana-3680	462	6	)	)	PUNCT
cana-3680	462	7	9	9	NUM
cana-3680	462	8	and	and	CCONJ
cana-3680	462	9	𝐹(𝑤	𝐹(𝑤	NUM
cana-3680	462	10	)	)	PUNCT
cana-3680	463	1	=	=	SYM
cana-3680	463	2	3𝑤	3𝑤	NOUN
cana-3680	463	3	,	,	PUNCT
cana-3680	463	4	for	for	ADP
cana-3680	463	5	all	all	PRON
cana-3680	463	6	𝑤	𝑤	ADP
cana-3680	463	7	∈	∈	PROPN
cana-3680	463	8	ℋ	ℋ	PROPN
cana-3680	463	9	from	from	ADP
cana-3680	463	10	(	(	PUNCT
cana-3680	463	11	3.2	3.2	NUM
cana-3680	463	12	)	)	PUNCT
cana-3680	463	13	and	and	CCONJ
cana-3680	463	14	(	(	PUNCT
cana-3680	463	15	3.13	3.13	NUM
cana-3680	463	16	)	)	PUNCT
cana-3680	463	17	can	can	AUX
cana-3680	463	18	be	be	AUX
cana-3680	463	19	written	write	VERB
cana-3680	463	20	as	as	ADP
cana-3680	463	21	,	,	PUNCT
cana-3680	463	22	𝑤𝑛+1	𝑤𝑛+1	X
cana-3680	463	23	=	=	SYM
cana-3680	463	24	𝑇𝑤𝑛,and	𝑇𝑤𝑛,and	NOUN
cana-3680	463	25	𝑠𝑛+1	𝑠𝑛+1	NUM
cana-3680	463	26	=	=	SYM
cana-3680	463	27	𝑇[(1−	𝑇[(1−	NOUN
cana-3680	463	28	𝜇𝑛)𝑠𝑛	𝜇𝑛)𝑠𝑛	PUNCT
cana-3680	463	29	+	+	ADJ
cana-3680	463	30	𝜇𝑛𝑇𝑠𝑛	𝜇𝑛𝑇𝑠𝑛	ADV
cana-3680	463	31	]	]	PUNCT
cana-3680	463	32	for	for	ADP
cana-3680	463	33	𝑛	𝑛	PRON
cana-3680	463	34	∈	∈	PROPN
cana-3680	463	35	𝒩0	𝒩0	PROPN
cana-3680	463	36	,	,	PUNCT
cana-3680	463	37	respectively	respectively	ADV
cana-3680	463	38	,	,	PUNCT
cana-3680	463	39	where	where	SCONJ
cana-3680	463	40	𝑇(𝑤):=	𝑇(𝑤):=	PROPN
cana-3680	463	41	𝐹(𝑤	𝐹(𝑤	NUM
cana-3680	463	42	)	)	PUNCT
cana-3680	463	43	=	=	SYM
cana-3680	463	44	3𝑤	3𝑤	NOUN
cana-3680	463	45	,	,	PUNCT
cana-3680	463	46	for	for	ADP
cana-3680	463	47	all	all	PRON
cana-3680	463	48	𝑤	𝑤	ADP
cana-3680	463	49	∈	∈	PROPN
cana-3680	463	50	ℋ	ℋ	PROPN
cana-3680	463	51	,	,	PUNCT
cana-3680	463	52	and	and	CCONJ
cana-3680	463	53	{	{	PUNCT
cana-3680	463	54	𝜇𝑛	𝜇𝑛	NOUN
cana-3680	463	55	}	}	PUNCT
cana-3680	463	56	is	be	AUX
cana-3680	463	57	a	a	DET
cana-3680	463	58	sequence	sequence	NOUN
cana-3680	463	59	in	in	ADP
cana-3680	463	60	(	(	PUNCT
cana-3680	463	61	0,1	0,1	NUM
cana-3680	463	62	)	)	PUNCT
cana-3680	463	63	.	.	PUNCT
cana-3680	464	1	we	we	PRON
cana-3680	464	2	consider	consider	VERB
cana-3680	464	3	𝛼𝑛	𝛼𝑛	NOUN
cana-3680	464	4	=	=	SYM
cana-3680	464	5	1	1	NUM
cana-3680	464	6	𝑛	𝑛	NOUN
cana-3680	464	7	and	and	CCONJ
cana-3680	464	8	𝜇𝑛	𝜇𝑛	NOUN
cana-3680	464	9	=	=	SYM
cana-3680	464	10	1	1	NUM
cana-3680	464	11	𝑛2	𝑛2	NOUN
cana-3680	464	12	+	+	PROPN
cana-3680	464	13	1	1	NUM
cana-3680	464	14	,	,	PUNCT
cana-3680	464	15	𝑛	𝑛	PRON
cana-3680	464	16	∈	∈	NOUN
cana-3680	464	17	𝒩0	𝒩0	PROPN
cana-3680	464	18	.	.	PUNCT
cana-3680	465	1	since	since	SCONJ
cana-3680	465	2	assumptions	assumption	NOUN
cana-3680	465	3	of	of	ADP
cana-3680	465	4	theorem	theorem	ADJ
cana-3680	465	5	3.3	3.3	NUM
cana-3680	465	6	are	be	AUX
cana-3680	465	7	satisfied	satisfied	ADJ
cana-3680	465	8	,	,	PUNCT
cana-3680	465	9	therefore	therefore	ADV
cana-3680	465	10	the	the	DET
cana-3680	465	11	sequence	sequence	NOUN
cana-3680	465	12	{	{	PUNCT
cana-3680	465	13	𝑠𝑛	𝑠𝑛	NOUN
cana-3680	465	14	}	}	PUNCT
cana-3680	465	15	converges	converge	NOUN
cana-3680	465	16	to	to	ADP
cana-3680	465	17	a	a	DET
cana-3680	465	18	unique	unique	ADJ
cana-3680	465	19	solution	solution	NOUN
cana-3680	465	20	of	of	ADP
cana-3680	465	21	(	(	PUNCT
cana-3680	465	22	2.1	2.1	NUM
cana-3680	465	23	)	)	PUNCT
cana-3680	465	24	.	.	PUNCT
cana-3680	466	1	similarity	similarity	NOUN
cana-3680	466	2	,	,	PUNCT
cana-3680	466	3	the	the	DET
cana-3680	466	4	sequence	sequence	NOUN
cana-3680	466	5	{	{	PUNCT
cana-3680	466	6	𝑤𝑛	𝑤𝑛	NOUN
cana-3680	466	7	}	}	PUNCT
cana-3680	466	8	convereges	converege	NOUN
cana-3680	466	9	to	to	ADP
cana-3680	466	10	a	a	DET
cana-3680	466	11	unique	unique	ADJ
cana-3680	466	12	solution	solution	NOUN
cana-3680	466	13	of	of	ADP
cana-3680	466	14	(	(	PUNCT
cana-3680	466	15	2.1	2.1	NUM
cana-3680	466	16	)	)	PUNCT
cana-3680	466	17	by	by	ADP
cana-3680	466	18	theorem	theorem	NOUN
cana-3680	466	19	3.2	3.2	NUM
cana-3680	466	20	.	.	PUNCT
cana-3680	467	1	the	the	DET
cana-3680	467	2	graphical	graphical	ADJ
cana-3680	467	3	presentation	presentation	NOUN
cana-3680	467	4	of	of	ADP
cana-3680	467	5	the	the	DET
cana-3680	467	6	convergence	convergence	NOUN
cana-3680	467	7	of	of	ADP
cana-3680	467	8	sequences	sequence	NOUN
cana-3680	467	9	{	{	PUNCT
cana-3680	467	10	𝑠𝑛	𝑠𝑛	NOUN
cana-3680	467	11	}	}	PUNCT
cana-3680	467	12	generated	generate	VERB
cana-3680	467	13	from	from	ADP
cana-3680	467	14	𝑠0	𝑠0	PROPN
cana-3680	467	15	=	=	SYM
cana-3680	467	16	5,8,11	5,8,11	NUM
cana-3680	467	17	are	be	AUX
cana-3680	467	18	given	give	VERB
cana-3680	467	19	in	in	ADP
cana-3680	467	20	figure	figure	NOUN
cana-3680	467	21	1	1	NUM
cana-3680	467	22	.	.	PUNCT
cana-3680	468	1	numerical	numerical	ADJ
cana-3680	468	2	values	value	NOUN
cana-3680	468	3	of	of	ADP
cana-3680	468	4	{	{	PUNCT
cana-3680	468	5	𝑠𝑛	𝑠𝑛	NOUN
cana-3680	468	6	}	}	PUNCT
cana-3680	468	7	are	be	AUX
cana-3680	468	8	given	give	VERB
cana-3680	468	9	in	in	ADP
cana-3680	468	10	tables	table	NOUN
cana-3680	468	11	1	1	NUM
cana-3680	468	12	.	.	PUNCT
cana-3680	468	13	from	from	ADP
cana-3680	468	14	figure	figure	NOUN
cana-3680	468	15	2	2	NUM
cana-3680	468	16	and	and	CCONJ
cana-3680	468	17	table	table	NOUN
cana-3680	468	18	2	2	NUM
cana-3680	468	19	,	,	PUNCT
cana-3680	468	20	we	we	PRON
cana-3680	468	21	see	see	VERB
cana-3680	468	22	that	that	SCONJ
cana-3680	468	23	the	the	DET
cana-3680	468	24	sequence	sequence	NOUN
cana-3680	468	25	{	{	PUNCT
cana-3680	468	26	𝑠𝑛	𝑠𝑛	NOUN
cana-3680	468	27	}	}	PUNCT
cana-3680	468	28	converges	converge	VERB
cana-3680	468	29	faster	fast	ADV
cana-3680	468	30	than	than	ADP
cana-3680	468	31	the	the	DET
cana-3680	468	32	sequence	sequence	NOUN
cana-3680	468	33	{	{	PUNCT
cana-3680	468	34	𝑤𝑛	𝑤𝑛	NOUN
cana-3680	468	35	}	}	PUNCT
cana-3680	468	36	.	.	PUNCT
cana-3680	469	1	table	table	NOUN
cana-3680	469	2	1	1	NUM
cana-3680	469	3	:	:	PUNCT
cana-3680	469	4	the	the	DET
cana-3680	469	5	values	value	NOUN
cana-3680	469	6	of	of	ADP
cana-3680	469	7	𝑠𝑛	𝑠𝑛	NOUN
cana-3680	469	8	with	with	ADP
cana-3680	469	9	initial	initial	ADJ
cana-3680	469	10	values	value	NOUN
cana-3680	469	11	𝑠0	𝑠0	NOUN
cana-3680	469	12	=	=	SYM
cana-3680	469	13	5	5	NUM
cana-3680	469	14	,	,	PUNCT
cana-3680	469	15	𝑠0	𝑠0	NOUN
cana-3680	469	16	=	=	SYM
cana-3680	469	17	10	10	NUM
cana-3680	469	18	𝑎𝑛𝑑	𝑎𝑛𝑑	ADJ
cana-3680	469	19	𝑠0	𝑠0	NOUN
cana-3680	469	20	=	=	PUNCT
cana-3680	469	21	15	15	NUM
cana-3680	469	22	no	no	NOUN
cana-3680	469	23	.	.	PUNCT
cana-3680	469	24	of	of	ADP
cana-3680	469	25	iterations	iteration	NOUN
cana-3680	469	26	for	for	ADP
cana-3680	469	27	𝑠0	𝑠0	NOUN
cana-3680	469	28	=	=	SYM
cana-3680	469	29	5	5	NUM
cana-3680	469	30	𝑠𝑛	𝑠𝑛	NOUN
cana-3680	469	31	for	for	ADP
cana-3680	469	32	𝑠0	𝑠0	NOUN
cana-3680	469	33	=	=	SYM
cana-3680	469	34	10	10	NUM
cana-3680	469	35	𝑠𝑛	𝑠𝑛	NOUN
cana-3680	469	36	for	for	ADP
cana-3680	469	37	𝑠0	𝑠0	NOUN
cana-3680	469	38	=	=	SYM
cana-3680	469	39	15	15	NUM
cana-3680	469	40	𝑠𝑛	𝑠𝑛	NOUN
cana-3680	469	41	n=1	n=1	PROPN
cana-3680	469	42	5	5	NUM
cana-3680	469	43	8	8	NUM
cana-3680	469	44	11	11	NUM
cana-3680	469	45	n=2	n=2	NUM
cana-3680	469	46	13.8993517972893	13.8993517972893	NUM
cana-3680	469	47	22.2389628756629	22.2389628756629	NUM
cana-3680	469	48	30.5785739540365	30.5785739540365	NUM
cana-3680	469	49	n=3	n=3	NOUN
cana-3680	469	50	15.2588266954200	15.2588266954200	NUM
cana-3680	469	51	24.4141227126719	24.4141227126719	NUM
cana-3680	469	52	33.5694187299239	33.5694187299239	NUM
cana-3680	469	53	n=4	n=4	NOUN
cana-3680	469	54	9.32628502653346	9.32628502653346	NUM
cana-3680	469	55	14.9220560424535	14.9220560424535	NUM
cana-3680	469	56	20.5178270583736	20.5178270583736	NUM
cana-3680	469	57	n=5	n=5	PRON
cana-3680	470	1	3.70219158018539	3.70219158018539	NUM
cana-3680	470	2	5.92350652829662	5.92350652829662	NUM
cana-3680	470	3	8.14482147640786	8.14482147640786	NUM
cana-3680	470	4	n=6	n=6	NOUN
cana-3680	470	5	1.03787208523604	1.03787208523604	NUM
cana-3680	470	6	1.66059533637766	1.66059533637766	NUM
cana-3680	470	7	2.28331858751928	2.28331858751928	NUM
cana-3680	470	8	n=7	n=7	PROPN
cana-3680	471	1	0.216827962271176	0.216827962271176	NUM
cana-3680	471	2	0.346924739633882	0.346924739633882	NUM
cana-3680	471	3	0.477021516996588	0.477021516996588	NUM
cana-3680	471	4	n=8	n=8	ADP
cana-3680	471	5	0.0350752760961080	0.0350752760961080	NUM
cana-3680	471	6	0.0561204417537728	0.0561204417537728	NOUN
cana-3680	471	7	0.0771656074114377	0.0771656074114377	NUM
cana-3680	471	8	n=9	n=9	NOUN
cana-3680	471	9	0.00452286820450332	0.00452286820450332	NUM
cana-3680	471	10	0.00723658912720530	0.00723658912720530	NUM
cana-3680	471	11	0.00995031004990729	0.00995031004990729	NUM
cana-3680	471	12	n=10	n=10	PRON
cana-3680	471	13	0.000475687588453968	0.000475687588453968	NUM
cana-3680	471	14	0.000761100141526349	0.000761100141526349	NUM
cana-3680	471	15	0.00104651269459873	0.00104651269459873	NUM
cana-3680	471	16	n=11	n=11	NOUN
cana-3680	471	17	4.15749986892055	4.15749986892055	NUM
cana-3680	471	18	6.65199979027288e-05	6.65199979027288e-05	NUM
cana-3680	471	19	9.14649971162521e-05	9.14649971162521e-05	NUM
cana-3680	471	20	n=12	n=12	NOUN
cana-3680	472	1	3.06677733294322e-06	3.06677733294322e-06	NUM
cana-3680	472	2	4.90684373270916e-06	4.90684373270916e-06	NUM
cana-3680	472	3	6.74691013247509e-06	6.74691013247509e-06	NUM
cana-3680	472	4	n=13	n=13	NOUN
cana-3680	472	5	1.93448288920915e-07	1.93448288920915e-07	NUM
cana-3680	472	6	3.09517262273463e-07	3.09517262273463e-07	NUM
cana-3680	472	7	4.25586235626012e-07	4.25586235626012e-07	NUM
cana-3680	472	8	n=14	n=14	NUM
cana-3680	472	9	1.05525450594488e-08	1.05525450594488e-08	NUM
cana-3680	472	10	1.68840720951181e-08	1.68840720951181e-08	NUM
cana-3680	472	11	2.32155991307874e-08	2.32155991307874e-08	NUM
cana-3680	472	12	n=17	n=17	PROPN
cana-3680	472	13	7.85059315299877e-13	7.85059315299877e-13	NUM
cana-3680	472	14	1.25609490447980e-12	1.25609490447980e-12	NUM
cana-3680	472	15	1.72713049365973e-12	1.72713049365973e-12	NUM
cana-3680	472	16	n=20	n=20	NOUN
cana-3680	472	17	2.10651237441896e-17	2.10651237441896e-17	NUM
cana-3680	472	18	3.37041979907034e-17	3.37041979907034e-17	NUM
cana-3680	472	19	4.63432722372172e-17	4.63432722372172e-17	NUM
cana-3680	472	20	n=25	n=25	PROPN
cana-3680	472	21	7.70878569921844e-26	7.70878569921844e-26	NUM
cana-3680	472	22	1.23340571187495e-25	1.23340571187495e-25	NUM
cana-3680	472	23	1.69593285382806e-25	1.69593285382806e-25	NUM
cana-3680	472	24	n=27	n=27	ADJ
cana-3680	472	25	0	0	NUM
cana-3680	472	26	0	0	NUM
cana-3680	472	27	0	0	NUM
cana-3680	472	28	n=28	n=28	NOUN
cana-3680	472	29	0	0	NUM
cana-3680	472	30	0	0	SYM
cana-3680	472	31	0	0	NUM
cana-3680	472	32	communications	communication	NOUN
cana-3680	472	33	on	on	ADP
cana-3680	472	34	applied	apply	VERB
cana-3680	472	35	nonlinear	nonlinear	ADJ
cana-3680	472	36	analysis	analysis	NOUN
cana-3680	472	37	issn	issn	NOUN
cana-3680	472	38	:	:	PUNCT
cana-3680	472	39	1074	1074	NUM
cana-3680	472	40	-	-	PUNCT
cana-3680	472	41	133x	133x	NUM
cana-3680	472	42	vol	vol	NOUN
cana-3680	472	43	32	32	NUM
cana-3680	472	44	no	no	NOUN
cana-3680	472	45	.	.	PUNCT
cana-3680	473	1	8s	8s	PROPN
cana-3680	473	2	(	(	PUNCT
cana-3680	473	3	2025	2025	NUM
cana-3680	473	4	)	)	PUNCT
cana-3680	473	5	360	360	NUM
cana-3680	473	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3680	473	7	table2	table2	PROPN
cana-3680	473	8	:	:	PUNCT
cana-3680	473	9	the	the	DET
cana-3680	473	10	values	value	NOUN
cana-3680	473	11	of	of	ADP
cana-3680	473	12	{	{	PUNCT
cana-3680	473	13	𝑠𝑛	𝑠𝑛	NOUN
cana-3680	473	14	}	}	PUNCT
cana-3680	473	15	and	and	CCONJ
cana-3680	473	16	{	{	PUNCT
cana-3680	473	17	𝑤𝑛	𝑤𝑛	VERB
cana-3680	473	18	}	}	PUNCT
cana-3680	473	19	with	with	ADP
cana-3680	473	20	initial	initial	ADJ
cana-3680	473	21	values	value	NOUN
cana-3680	473	22	𝑠0	𝑠0	NOUN
cana-3680	473	23	=	=	PUNCT
cana-3680	473	24	𝑤0	𝑤0	NOUN
cana-3680	473	25	=	=	SYM
cana-3680	473	26	5	5	NUM
cana-3680	473	27	.	.	NOUN
cana-3680	473	28	number	number	NOUN
cana-3680	473	29	of	of	ADP
cana-3680	473	30	iterations	iteration	NOUN
cana-3680	473	31	proposed	propose	VERB
cana-3680	473	32	s	s	NOUN
cana-3680	473	33	-	-	PUNCT
cana-3680	473	34	iteration	iteration	NOUN
cana-3680	473	35	algorithm	algorithm	NOUN
cana-3680	473	36	3.3	3.3	NUM
cana-3680	473	37	(	(	PUNCT
cana-3680	473	38	𝑠0	𝑠0	NOUN
cana-3680	473	39	=	=	SYM
cana-3680	473	40	5	5	X
cana-3680	473	41	)	)	PUNCT
cana-3680	473	42	𝑠𝑛	𝑠𝑛	NOUN
cana-3680	473	43	proposed	propose	VERB
cana-3680	473	44	algorithm	algorithm	NOUN
cana-3680	473	45	3.1	3.1	NUM
cana-3680	473	46	(	(	PUNCT
cana-3680	473	47	𝑤0	𝑤0	NOUN
cana-3680	473	48	=	=	NOUN
cana-3680	473	49	5	5	NUM
cana-3680	473	50	)	)	PUNCT
cana-3680	473	51	𝑤𝑛	𝑤𝑛	NOUN
cana-3680	473	52	n=1	n=1	ADP
cana-3680	473	53	5	5	NUM
cana-3680	473	54	5	5	NUM
cana-3680	473	55	n=2	n=2	ADV
cana-3680	473	56	13.8993517972893	13.8993517972893	NUM
cana-3680	473	57	19.4879571810883	19.4879571810883	NUM
cana-3680	473	58	n=3	n=3	NOUN
cana-3680	473	59	15.2588266954200	15.2588266954200	NUM
cana-3680	473	60	27.0958573369905	27.0958573369905	NUM
cana-3680	473	61	n=4	n=4	PROPN
cana-3680	473	62	9.32628502653346	9.32628502653346	NUM
cana-3680	473	63	23.1275375716004	23.1275375716004	NUM
cana-3680	473	64	n=5	n=5	PRON
cana-3680	473	65	3.70219158018539	3.70219158018539	NUM
cana-3680	473	66	14.3521314352151	14.3521314352151	NUM
cana-3680	473	67	n=6	n=6	NOUN
cana-3680	473	68	1.03787208523604	1.03787208523604	NUM
cana-3680	473	69	7.22777560406802	7.22777560406802	NUM
cana-3680	473	70	n=7	n=7	PROPN
cana-3680	473	71	0.216827962271176	0.216827962271176	NUM
cana-3680	473	72	3.37773785150181	3.37773785150181	NUM
cana-3680	473	73	n=8	n=8	ADP
cana-3680	473	74	0.0350752760961080	0.0350752760961080	NUM
cana-3680	473	75	1.75006635630060	1.75006635630060	NUM
cana-3680	473	76	n=9	n=9	NOUN
cana-3680	473	77	0.00452286820450332	0.00452286820450332	NUM
cana-3680	473	78	1.12929969254448	1.12929969254448	NUM
cana-3680	473	79	n=10	n=10	NOUN
cana-3680	473	80	0.000475687588453968	0.000475687588453968	NUM
cana-3680	473	81	0.870676048112462	0.870676048112462	NUM
cana-3680	473	82	n=13	n=13	PROPN
cana-3680	473	83	1.93448288920915e-07	1.93448288920915e-07	NUM
cana-3680	473	84	0.572413040490093	0.572413040490093	NUM
cana-3680	473	85	n=17	n=17	NOUN
cana-3680	473	86	7.85059315299877e-13	7.85059315299877e-13	NUM
cana-3680	473	87	0.404900857028524	0.404900857028524	NUM
cana-3680	473	88	n=20	n=20	PROPN
cana-3680	474	1	2.10651237441896e-17	2.10651237441896e-17	NUM
cana-3680	474	2	0.333600636560647	0.333600636560647	NUM
cana-3680	474	3	n=25	n=25	PROPN
cana-3680	474	4	7.70878569921844e-26	7.70878569921844e-26	NOUN
cana-3680	474	5	0.258848165970660	0.258848165970660	NUM
cana-3680	474	6	n=100	n=100	NUM
cana-3680	474	7	0	0	PUNCT
cana-3680	474	8	0.000606691920380	0.000606691920380	NUM
cana-3680	474	9	n=200	n=200	NUM
cana-3680	474	10	0	0	NUM
cana-3680	474	11	2.36268998330960e-22	2.36268998330960e-22	NUM
cana-3680	474	12	figure1	figure1	NUM
cana-3680	474	13	:	:	PUNCT
cana-3680	474	14	the	the	DET
cana-3680	474	15	convergence	convergence	NOUN
cana-3680	474	16	of	of	ADP
cana-3680	474	17	𝑠𝑛	𝑠𝑛	NOUN
cana-3680	474	18	with	with	ADP
cana-3680	474	19	initial	initial	ADJ
cana-3680	474	20	values	value	NOUN
cana-3680	474	21	𝑠0	𝑠0	NOUN
cana-3680	474	22	=	=	SYM
cana-3680	474	23	5	5	NUM
cana-3680	474	24	,	,	PUNCT
cana-3680	474	25	𝑠0	𝑠0	NOUN
cana-3680	474	26	=	=	SYM
cana-3680	474	27	10	10	NUM
cana-3680	474	28	𝑎𝑛𝑑	𝑎𝑛𝑑	ADJ
cana-3680	474	29	𝑠0	𝑠0	NOUN
cana-3680	474	30	=	=	SYM
cana-3680	474	31	15	15	NUM
cana-3680	474	32	.	.	PUNCT
cana-3680	475	1	figure	figure	NOUN
cana-3680	475	2	2	2	NUM
cana-3680	475	3	:	:	PUNCT
cana-3680	475	4	the	the	DET
cana-3680	475	5	convergence	convergence	NOUN
cana-3680	475	6	of	of	ADP
cana-3680	475	7	𝑠𝑛	𝑠𝑛	NOUN
cana-3680	475	8	and	and	CCONJ
cana-3680	475	9	𝑤𝑛with	𝑤𝑛with	ADJ
cana-3680	476	1	initial	initial	ADJ
cana-3680	476	2	values	value	NOUN
cana-3680	476	3	𝑠0	𝑠0	NOUN
cana-3680	477	1	=	=	PUNCT
cana-3680	477	2	𝑤0	𝑤0	NOUN
cana-3680	477	3	=	=	NOUN
cana-3680	477	4	5	5	NUM
cana-3680	477	5	.	.	NOUN
cana-3680	477	6	5	5	NUM
cana-3680	477	7	.	.	X
cana-3680	477	8	conclusion	conclusion	NOUN
cana-3680	477	9	in	in	ADP
cana-3680	477	10	conclusion	conclusion	NOUN
cana-3680	477	11	,	,	PUNCT
cana-3680	477	12	within	within	ADP
cana-3680	477	13	the	the	DET
cana-3680	477	14	scope	scope	NOUN
cana-3680	477	15	of	of	ADP
cana-3680	477	16	this	this	DET
cana-3680	477	17	study	study	NOUN
cana-3680	477	18	,	,	PUNCT
cana-3680	477	19	we	we	PRON
cana-3680	477	20	have	have	AUX
cana-3680	477	21	explored	explore	VERB
cana-3680	477	22	a	a	DET
cana-3680	477	23	broader	broad	ADJ
cana-3680	477	24	variational	variational	ADJ
cana-3680	477	25	inclusion	inclusion	NOUN
cana-3680	477	26	problem	problem	NOUN
cana-3680	477	27	that	that	PRON
cana-3680	477	28	encompasses	encompass	VERB
cana-3680	477	29	𝐴	𝐴	PROPN
cana-3680	477	30	(	(	PUNCT
cana-3680	477	31	.	.	PUNCT
cana-3680	477	32	,	,	PUNCT
cana-3680	477	33	.	.	PUNCT
cana-3680	477	34	)	)	PUNCT
cana-3680	478	1	--co	--co	ADJ
cana-3680	478	2	-	-	PUNCT
cana-3680	478	3	coercive	coercive	ADJ
cana-3680	478	4	operators	operator	NOUN
cana-3680	478	5	within	within	ADP
cana-3680	478	6	the	the	DET
cana-3680	478	7	context	context	NOUN
cana-3680	478	8	of	of	ADP
cana-3680	478	9	real	real	ADJ
cana-3680	478	10	hilbert	hilbert	NOUN
cana-3680	478	11	spaces	space	NOUN
cana-3680	478	12	.	.	PUNCT
cana-3680	479	1	through	through	ADP
cana-3680	479	2	the	the	DET
cana-3680	479	3	utilization	utilization	NOUN
cana-3680	479	4	of	of	ADP
cana-3680	479	5	the	the	DET
cana-3680	479	6	resolvent	resolvent	ADJ
cana-3680	479	7	operator	operator	NOUN
cana-3680	479	8	technique	technique	NOUN
cana-3680	479	9	,	,	PUNCT
cana-3680	479	10	we	we	PRON
cana-3680	479	11	have	have	AUX
cana-3680	479	12	established	establish	VERB
cana-3680	479	13	an	an	DET
cana-3680	479	14	equivalence	equivalence	NOUN
cana-3680	479	15	between	between	ADP
cana-3680	479	16	the	the	DET
cana-3680	479	17	generalized	generalize	VERB
cana-3680	479	18	variational	variational	ADJ
cana-3680	479	19	inclusion	inclusion	NOUN
cana-3680	479	20	problem	problem	NOUN
cana-3680	479	21	and	and	CCONJ
cana-3680	479	22	its	its	PRON
cana-3680	479	23	associated	associated	ADJ
cana-3680	479	24	fixed	fix	VERB
cana-3680	479	25	-	-	PUNCT
cana-3680	479	26	point	point	NOUN
cana-3680	479	27	problem	problem	NOUN
cana-3680	479	28	.	.	PUNCT
cana-3680	480	1	leveraging	leverage	VERB
cana-3680	480	2	this	this	DET
cana-3680	480	3	equivalence	equivalence	NOUN
cana-3680	480	4	,	,	PUNCT
cana-3680	480	5	we	we	PRON
cana-3680	480	6	have	have	AUX
cana-3680	480	7	demonstrated	demonstrate	VERB
cana-3680	480	8	both	both	DET
cana-3680	480	9	the	the	DET
cana-3680	480	10	existence	existence	NOUN
cana-3680	480	11	and	and	CCONJ
cana-3680	480	12	uniqueness	uniqueness	NOUN
cana-3680	480	13	of	of	ADP
cana-3680	480	14	a	a	DET
cana-3680	480	15	solution	solution	NOUN
cana-3680	480	16	for	for	ADP
cana-3680	480	17	the	the	DET
cana-3680	480	18	generalized	generalize	VERB
cana-3680	480	19	variational	variational	ADJ
cana-3680	480	20	inclusion	inclusion	NOUN
cana-3680	480	21	problem	problem	NOUN
cana-3680	480	22	,	,	PUNCT
cana-3680	480	23	employing	employ	VERB
cana-3680	480	24	co	co	NOUN
cana-3680	480	25	-	-	ADJ
cana-3680	480	26	coercive	coercive	ADJ
cana-3680	480	27	and	and	CCONJ
cana-3680	480	28	relaxed	relaxed	ADJ
cana-3680	480	29	co	co	ADJ
cana-3680	480	30	-	-	ADJ
cana-3680	480	31	coercive	coercive	ADJ
cana-3680	480	32	functions	function	NOUN
cana-3680	480	33	.	.	PUNCT
cana-3680	481	1	also	also	ADV
cana-3680	481	2	,	,	PUNCT
cana-3680	481	3	we	we	PRON
cana-3680	481	4	have	have	AUX
cana-3680	481	5	proposed	propose	VERB
cana-3680	481	6	the	the	DET
cana-3680	481	7	algorithms	algorithm	NOUN
cana-3680	481	8	involving	involve	VERB
cana-3680	481	9	𝑆-iteration	𝑆-iteration	PROPN
cana-3680	481	10	and	and	CCONJ
cana-3680	481	11	𝐻-mt	𝐻-mt	NOUN
cana-3680	481	12	operators	operator	NOUN
cana-3680	481	13	under	under	ADP
cana-3680	481	14	communications	communication	NOUN
cana-3680	481	15	on	on	ADP
cana-3680	481	16	applied	apply	VERB
cana-3680	481	17	nonlinear	nonlinear	ADJ
cana-3680	481	18	analysis	analysis	NOUN
cana-3680	481	19	issn	issn	NOUN
cana-3680	481	20	:	:	PUNCT
cana-3680	481	21	1074	1074	NUM
cana-3680	481	22	-	-	PUNCT
cana-3680	481	23	133x	133x	NUM
cana-3680	481	24	vol	vol	NOUN
cana-3680	481	25	32	32	NUM
cana-3680	481	26	no	no	NOUN
cana-3680	481	27	.	.	PUNCT
cana-3680	482	1	8s	8s	PROPN
cana-3680	482	2	(	(	PUNCT
cana-3680	482	3	2025	2025	NUM
cana-3680	482	4	)	)	PUNCT
cana-3680	482	5	361	361	NUM
cana-3680	482	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3680	482	7	some	some	DET
cana-3680	482	8	suitable	suitable	ADJ
cana-3680	482	9	conditions	condition	NOUN
cana-3680	482	10	.	.	PUNCT
cana-3680	483	1	lastly	lastly	ADV
cana-3680	483	2	,	,	PUNCT
cana-3680	483	3	we	we	PRON
cana-3680	483	4	provide	provide	VERB
cana-3680	483	5	a	a	DET
cana-3680	483	6	numerical	numerical	ADJ
cana-3680	483	7	example	example	NOUN
cana-3680	483	8	to	to	PART
cana-3680	483	9	substantiate	substantiate	VERB
cana-3680	483	10	our	our	PRON
cana-3680	483	11	primary	primary	ADJ
cana-3680	483	12	finding	finding	NOUN
cana-3680	483	13	.	.	PUNCT
cana-3680	484	1	the	the	DET
cana-3680	484	2	results	result	NOUN
cana-3680	484	3	we	we	PRON
cana-3680	484	4	've	have	AUX
cana-3680	484	5	obtained	obtain	VERB
cana-3680	484	6	serve	serve	VERB
cana-3680	484	7	to	to	PART
cana-3680	484	8	expand	expand	VERB
cana-3680	484	9	and	and	CCONJ
cana-3680	484	10	provide	provide	VERB
cana-3680	484	11	a	a	DET
cana-3680	484	12	more	more	ADV
cana-3680	484	13	comprehensive	comprehensive	ADJ
cana-3680	484	14	framework	framework	NOUN
cana-3680	484	15	compared	compare	VERB
cana-3680	484	16	to	to	ADP
cana-3680	484	17	many	many	ADJ
cana-3680	484	18	existing	exist	VERB
cana-3680	484	19	outcomes	outcome	NOUN
cana-3680	484	20	found	find	VERB
cana-3680	484	21	in	in	ADP
cana-3680	484	22	the	the	DET
cana-3680	484	23	literature	literature	NOUN
cana-3680	484	24	for	for	ADP
cana-3680	484	25	various	various	ADJ
cana-3680	484	26	systems	system	NOUN
cana-3680	484	27	.	.	PUNCT
cana-3680	485	1	refrences	refrence	VERB
cana-3680	486	1	[	[	X
cana-3680	486	2	1	1	X
cana-3680	486	3	]	]	PUNCT
cana-3680	486	4	s.	s.	PROPN
cana-3680	486	5	adly	adly	PROPN
cana-3680	486	6	and	and	CCONJ
cana-3680	486	7	w.	w.	PROPN
cana-3680	486	8	oettli	oettli	PROPN
cana-3680	486	9	,	,	PUNCT
cana-3680	486	10	solvability	solvability	NOUN
cana-3680	486	11	of	of	ADP
cana-3680	486	12	generalized	generalized	ADJ
cana-3680	486	13	nonlinear	nonlinear	ADJ
cana-3680	486	14	symmetric	symmetric	ADJ
cana-3680	486	15	variational	variational	ADJ
cana-3680	486	16	inequalities	inequality	NOUN
cana-3680	486	17	.	.	PUNCT
cana-3680	487	1	j.	j.	PROPN
cana-3680	487	2	austra	austra	PROPN
cana-3680	487	3	.	.	PROPN
cana-3680	487	4	math	math	PROPN
cana-3680	487	5	.	.	PUNCT
cana-3680	488	1	soc	soc	PROPN
cana-3680	488	2	.	.	PUNCT
cana-3680	489	1	series	series	PROPN
cana-3680	489	2	b	b	PROPN
cana-3680	489	3	,	,	PUNCT
cana-3680	489	4	appl	appl	PROPN
cana-3680	489	5	.	.	PROPN
cana-3680	489	6	math	math	PROPN
cana-3680	489	7	,	,	PUNCT
cana-3680	489	8	40(3	40(3	NOUN
cana-3680	489	9	)	)	PUNCT
cana-3680	489	10	,	,	PUNCT
cana-3680	489	11	{	{	PUNCT
cana-3680	489	12	199	199	NUM
cana-3680	489	13	}	}	PUNCT
cana-3680	489	14	,	,	PUNCT
cana-3680	489	15	289	289	NUM
cana-3680	489	16	-	-	SYM
cana-3680	489	17	300	300	NUM
cana-3680	489	18	.	.	PUNCT
cana-3680	490	1	[	[	X
cana-3680	490	2	2	2	NUM
cana-3680	490	3	]	]	X
cana-3680	490	4	r.	r.	PROPN
cana-3680	490	5	ahamd	ahamd	PROPN
cana-3680	490	6	,	,	PUNCT
cana-3680	490	7	m.	m.	NOUN
cana-3680	490	8	dilshad	dilshad	PROPN
cana-3680	490	9	,	,	PUNCT
cana-3680	490	10	m.	m.	NOUN
cana-3680	490	11	m.	m.	PROPN
cana-3680	490	12	wong	wong	PROPN
cana-3680	490	13	and	and	CCONJ
cana-3680	490	14	j.	j.	PROPN
cana-3680	490	15	c.	c.	PROPN
cana-3680	490	16	yao	yao	PROPN
cana-3680	490	17	,	,	PUNCT
cana-3680	490	18	𝐻	𝐻	PROPN
cana-3680	490	19	(	(	PUNCT
cana-3680	490	20	.	.	PUNCT
cana-3680	490	21	,	,	PUNCT
cana-3680	490	22	.	.	PUNCT
cana-3680	490	23	)	)	PUNCT
cana-3680	491	1	-cocoercive	-cocoercive	ADJ
cana-3680	491	2	opertaor	opertaor	NOUN
cana-3680	491	3	and	and	CCONJ
cana-3680	491	4	an	an	DET
cana-3680	491	5	application	application	NOUN
cana-3680	491	6	for	for	ADP
cana-3680	491	7	solving	solve	VERB
cana-3680	491	8	generalized	generalized	ADJ
cana-3680	491	9	variational	variational	ADJ
cana-3680	491	10	inclusions	inclusion	NOUN
cana-3680	491	11	,	,	PUNCT
cana-3680	491	12	abstract	abstract	ADJ
cana-3680	491	13	and	and	CCONJ
cana-3680	491	14	appl	appl	NOUN
cana-3680	491	15	.	.	PUNCT
cana-3680	492	1	analysis	analysis	NOUN
cana-3680	492	2	,	,	PUNCT
cana-3680	492	3	2011(2011	2011(2011	NUM
cana-3680	492	4	)	)	PUNCT
cana-3680	492	5	,	,	PUNCT
cana-3680	492	6	doi:10.1155/2011/261534	doi:10.1155/2011/261534	PROPN
cana-3680	492	7	.	.	PUNCT
cana-3680	493	1	[	[	X
cana-3680	493	2	3	3	NUM
cana-3680	493	3	]	]	PUNCT
cana-3680	493	4	r.	r.	NOUN
cana-3680	493	5	ahamd	ahamd	PROPN
cana-3680	493	6	and	and	CCONJ
cana-3680	493	7	a.	a.	PROPN
cana-3680	493	8	h.	h.	PROPN
cana-3680	493	9	siddiqi	siddiqi	PROPN
cana-3680	493	10	,	,	PUNCT
cana-3680	493	11	mixed	mixed	ADJ
cana-3680	493	12	variational	variational	ADJ
cana-3680	493	13	-	-	PUNCT
cana-3680	493	14	like	like	ADJ
cana-3680	493	15	inclusions	inclusion	NOUN
cana-3680	493	16	and	and	CCONJ
cana-3680	493	17	$	$	SYM
cana-3680	493	18	j^\eta$-proximal	j^\eta$-proximal	ADJ
cana-3680	493	19	operator	operator	NOUN
cana-3680	493	20	equations	equation	NOUN
cana-3680	493	21	in	in	ADP
cana-3680	493	22	banach	banach	NOUN
cana-3680	493	23	spaces	space	NOUN
cana-3680	493	24	,	,	PUNCT
cana-3680	493	25	j.	j.	PROPN
cana-3680	493	26	math	math	PROPN
cana-3680	493	27	.	.	PUNCT
cana-3680	494	1	anal	anal	PROPN
cana-3680	494	2	.	.	PUNCT
cana-3680	495	1	appl	appl	PROPN
cana-3680	495	2	,	,	PUNCT
cana-3680	495	3	327	327	NUM
cana-3680	495	4	,	,	PUNCT
cana-3680	495	5	(	(	PUNCT
cana-3680	495	6	2007	2007	NUM
cana-3680	495	7	)	)	PUNCT
cana-3680	495	8	,	,	PUNCT
cana-3680	495	9	515	515	NUM
cana-3680	495	10	-	-	SYM
cana-3680	495	11	524	524	NUM
cana-3680	495	12	[	[	X
cana-3680	495	13	4	4	X
cana-3680	495	14	]	]	X
cana-3680	495	15	v.	v.	CCONJ
cana-3680	495	16	berinde	berinde	NOUN
cana-3680	495	17	,	,	PUNCT
cana-3680	495	18	picard	picard	NOUN
cana-3680	495	19	iteration	iteration	NOUN
cana-3680	495	20	converges	converge	VERB
cana-3680	495	21	faster	fast	ADV
cana-3680	495	22	than	than	ADP
cana-3680	495	23	the	the	DET
cana-3680	495	24	mann	mann	PROPN
cana-3680	495	25	iteration	iteration	NOUN
cana-3680	495	26	in	in	ADP
cana-3680	495	27	the	the	DET
cana-3680	495	28	class	class	NOUN
cana-3680	495	29	of	of	ADP
cana-3680	495	30	quasi	quasi	ADJ
cana-3680	495	31	-	-	ADJ
cana-3680	495	32	contractive	contractive	ADJ
cana-3680	495	33	operators	operator	NOUN
cana-3680	495	34	,	,	PUNCT
cana-3680	495	35	fixed	fix	VERB
cana-3680	495	36	point	point	NOUN
cana-3680	495	37	theoey	theoey	NOUN
cana-3680	495	38	appl	appl	NOUN
cana-3680	495	39	,	,	PUNCT
cana-3680	495	40	2004(2004	2004(2004	NUM
cana-3680	495	41	)	)	PUNCT
cana-3680	495	42	,	,	PUNCT
cana-3680	495	43	97	97	NUM
cana-3680	495	44	-	-	SYM
cana-3680	495	45	105	105	NUM
cana-3680	496	1	[	[	X
cana-3680	496	2	5	5	NUM
cana-3680	496	3	]	]	PUNCT
cana-3680	496	4	k.	k.	PROPN
cana-3680	496	5	buranakorn	buranakorn	PROPN
cana-3680	496	6	,	,	PUNCT
cana-3680	496	7	a.p	a.p	PROPN
cana-3680	496	8	.	.	PROPN
cana-3680	496	9	farajzadeh	farajzadeh	PROPN
cana-3680	496	10	and	and	CCONJ
cana-3680	496	11	s.	s.	PROPN
cana-3680	496	12	plubtieng	plubtieng	PROPN
cana-3680	496	13	,	,	PUNCT
cana-3680	496	14	comparison	comparison	NOUN
cana-3680	496	15	of	of	ADP
cana-3680	496	16	two	two	NUM
cana-3680	496	17	kinds	kind	NOUN
cana-3680	496	18	of	of	ADP
cana-3680	496	19	modified	modify	VERB
cana-3680	496	20	prediction	prediction	NOUN
cana-3680	496	21	-	-	PUNCT
cana-3680	496	22	correction	correction	NOUN
cana-3680	496	23	methods	method	NOUN
cana-3680	496	24	for	for	ADP
cana-3680	496	25	pseudomonotone	pseudomonotone	NOUN
cana-3680	496	26	variational	variational	ADJ
cana-3680	496	27	inequalities	inequality	NOUN
cana-3680	496	28	,	,	PUNCT
cana-3680	496	29	appl	appl	PROPN
cana-3680	496	30	..	..	PUNCT
cana-3680	496	31	math	math	NOUN
cana-3680	496	32	,	,	PUNCT
cana-3680	496	33	12(3	12(3	NUM
cana-3680	496	34	)	)	PUNCT
cana-3680	496	35	,	,	PUNCT
cana-3680	496	36	(	(	PUNCT
cana-3680	496	37	2018	2018	NUM
cana-3680	496	38	)	)	PUNCT
cana-3680	496	39	,	,	PUNCT
cana-3680	496	40	501	501	NUM
cana-3680	496	41	-	-	SYM
cana-3680	496	42	508	508	NUM
cana-3680	496	43	.	.	PUNCT
cana-3680	497	1	[	[	X
cana-3680	497	2	6	6	NUM
cana-3680	497	3	]	]	X
cana-3680	497	4	n.	n.	PROPN
cana-3680	497	5	buong	buong	PROPN
cana-3680	497	6	,	,	PUNCT
cana-3680	497	7	n.	n.	PROPN
cana-3680	497	8	s.	s.	PROPN
cana-3680	497	9	ha	ha	INTJ
cana-3680	497	10	and	and	CCONJ
cana-3680	497	11	n.	n.	PROPN
cana-3680	497	12	t.	t.	PROPN
cana-3680	497	13	t.	t.	PROPN
cana-3680	497	14	thuy	thuy	PROPN
cana-3680	497	15	,	,	PUNCT
cana-3680	497	16	a	a	DET
cana-3680	497	17	new	new	ADJ
cana-3680	497	18	explicit	explicit	ADJ
cana-3680	497	19	iteration	iteration	NOUN
cana-3680	497	20	method	method	NOUN
cana-3680	497	21	for	for	ADP
cana-3680	497	22	a	a	DET
cana-3680	497	23	class	class	NOUN
cana-3680	497	24	of	of	ADP
cana-3680	497	25	variational	variational	ADJ
cana-3680	497	26	inequalities	inequality	NOUN
cana-3680	497	27	,	,	PUNCT
cana-3680	497	28	numer	numer	PROPN
cana-3680	497	29	.	.	PROPN
cana-3680	497	30	algorithms	algorithms	PROPN
cana-3680	497	31	,	,	PUNCT
cana-3680	497	32	72	72	NUM
cana-3680	497	33	,	,	PUNCT
cana-3680	497	34	(	(	PUNCT
cana-3680	497	35	2016	2016	NUM
cana-3680	497	36	)	)	PUNCT
cana-3680	497	37	,	,	PUNCT
cana-3680	497	38	467–481	467–481	NUM
cana-3680	497	39	.	.	PUNCT
cana-3680	498	1	[	[	X
cana-3680	498	2	7	7	X
cana-3680	498	3	]	]	X
cana-3680	498	4	y.	y.	NOUN
cana-3680	498	5	p.	p.	NOUN
cana-3680	498	6	fang	fang	PROPN
cana-3680	498	7	and	and	CCONJ
cana-3680	498	8	n.	n.	PROPN
cana-3680	498	9	j.	j.	PROPN
cana-3680	498	10	huang	huang	PROPN
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cana-3680	498	18	operator	operator	NOUN
cana-3680	498	19	technique	technique	NOUN
cana-3680	498	20	for	for	ADP
cana-3680	498	21	variational	variational	ADJ
cana-3680	498	22	inclusions	inclusion	NOUN
cana-3680	498	23	,	,	PUNCT
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cana-3680	498	25	.	.	PROPN
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cana-3680	498	27	.	.	PUNCT
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cana-3680	499	2	,	,	PUNCT
cana-3680	499	3	145	145	NUM
cana-3680	499	4	,	,	PUNCT
cana-3680	499	5	(	(	PUNCT
cana-3680	499	6	2003	2003	NUM
cana-3680	499	7	)	)	PUNCT
cana-3680	499	8	,	,	PUNCT
cana-3680	499	9	795	795	NUM
cana-3680	499	10	-	-	SYM
cana-3680	499	11	803	803	NUM
cana-3680	499	12	.	.	PUNCT
cana-3680	500	1	[	[	X
cana-3680	500	2	8	8	NUM
cana-3680	500	3	]	]	X
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cana-3680	500	5	gursoy	gursoy	PROPN
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cana-3680	500	8	erturk	erturk	PROPN
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cana-3680	500	10	m.	m.	NOUN
cana-3680	500	11	abbas	abbas	PROPN
cana-3680	500	12	}	}	PUNCT
cana-3680	500	13	,	,	PUNCT
cana-3680	500	14	a	a	DET
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cana-3680	500	16	-	-	PUNCT
cana-3680	500	17	type	type	NOUN
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cana-3680	500	20	for	for	ADP
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cana-3680	500	22	variational	variational	ADJ
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cana-3680	500	24	and	and	CCONJ
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cana-3680	500	26	mappings	mapping	NOUN
cana-3680	500	27	,	,	PUNCT
cana-3680	500	28	numer	numer	NOUN
cana-3680	500	29	.	.	PUNCT
cana-3680	500	30	algoritms	algoritms	PROPN
cana-3680	500	31	,	,	PUNCT
cana-3680	500	32	2019	2019	NUM
cana-3680	500	33	(	(	PUNCT
cana-3680	500	34	2019	2019	NUM
cana-3680	500	35	)	)	PUNCT
cana-3680	500	36	,	,	PUNCT
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cana-3680	500	38	.	.	PUNCT
cana-3680	501	1	[	[	X
cana-3680	501	2	9	9	NUM
cana-3680	501	3	]	]	X
cana-3680	501	4	f.	f.	NOUN
cana-3680	501	5	gursoy	gursoy	PROPN
cana-3680	501	6	,	,	PUNCT
cana-3680	501	7	d.	d.	PROPN
cana-3680	501	8	r.	r.	PROPN
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cana-3680	501	11	q.	q.	PROPN
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cana-3680	501	18	process	process	NOUN
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cana-3680	501	20	variational	variational	ADJ
cana-3680	501	21	inclusions	inclusion	NOUN
cana-3680	501	22	and	and	CCONJ
cana-3680	501	23	its	its	PRON
cana-3680	501	24	rate	rate	NOUN
cana-3680	501	25	of	of	ADP
cana-3680	501	26	convergence	convergence	NOUN
cana-3680	501	27	,	,	PUNCT
cana-3680	501	28	j.	j.	PROPN
cana-3680	501	29	nonlinear	nonlinear	PROPN
cana-3680	501	30	and	and	CCONJ
cana-3680	501	31	convex	convex	VERB
cana-3680	501	32	analysis	analysis	NOUN
cana-3680	501	33	}	}	PUNCT
cana-3680	501	34	,	,	PUNCT
cana-3680	501	35	17(9	17(9	NOUN
cana-3680	501	36	)	)	PUNCT
cana-3680	501	37	,	,	PUNCT
cana-3680	501	38	(	(	PUNCT
cana-3680	501	39	2016	2016	NUM
cana-3680	501	40	)	)	PUNCT
cana-3680	501	41	,	,	PUNCT
cana-3680	501	42	1753	1753	NUM
cana-3680	501	43	-	-	SYM
cana-3680	501	44	1767	1767	NUM
cana-3680	501	45	.	.	PUNCT
cana-3680	502	1	[	[	X
cana-3680	502	2	10	10	NUM
cana-3680	502	3	]	]	X
cana-3680	502	4	n.	n.	PROPN
cana-3680	502	5	s.	s.	PROPN
cana-3680	502	6	ha,·n	ha,·n	PROPN
cana-3680	502	7	.	.	PUNCT
cana-3680	503	1	buong	buong	PROPN
cana-3680	503	2	and	and	CCONJ
cana-3680	503	3	n.	n.	PROPN
cana-3680	503	4	t.	t.	PROPN
cana-3680	503	5	t.	t.	PROPN
cana-3680	503	6	thuy	thuy	PROPN
cana-3680	503	7	,	,	PUNCT
cana-3680	503	8	a	a	DET
cana-3680	503	9	new	new	ADJ
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cana-3680	503	11	parallel	parallel	ADJ
cana-3680	503	12	iteration	iteration	NOUN
cana-3680	503	13	method	method	NOUN
cana-3680	503	14	for	for	ADP
cana-3680	503	15	a	a	DET
cana-3680	503	16	class	class	NOUN
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cana-3680	503	19	inequalities	inequality	NOUN
cana-3680	503	20	,	,	PUNCT
cana-3680	503	21	acta	acta	PROPN
cana-3680	503	22	math	math	PROPN
cana-3680	503	23	vietnam	vietnam	PROPN
cana-3680	503	24	,	,	PUNCT
cana-3680	503	25	43	43	NUM
cana-3680	503	26	,	,	PUNCT
cana-3680	503	27	(	(	PUNCT
cana-3680	503	28	2018	2018	NUM
cana-3680	503	29	)	)	PUNCT
cana-3680	503	30	,	,	PUNCT
cana-3680	503	31	239	239	NUM
cana-3680	503	32	-	-	SYM
cana-3680	503	33	255	255	NUM
cana-3680	503	34	.	.	PUNCT
cana-3680	504	1	[	[	X
cana-3680	504	2	11	11	NUM
cana-3680	504	3	]	]	X
cana-3680	504	4	s.s	s.s	PROPN
cana-3680	504	5	.	.	PROPN
cana-3680	504	6	irfan	irfan	PROPN
cana-3680	504	7	,	,	PUNCT
cana-3680	504	8	m.f	m.f	PROPN
cana-3680	504	9	.	.	PROPN
cana-3680	504	10	khan	khan	PROPN
cana-3680	504	11	,	,	PUNCT
cana-3680	504	12	a.p	a.p	PROPN
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cana-3680	504	17	shafie	shafie	PROPN
cana-3680	504	18	}	}	PUNCT
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cana-3680	504	22	-	-	PUNCT
cana-3680	504	23	like	like	ADJ
cana-3680	504	24	inclusion	inclusion	NOUN
cana-3680	504	25	involving	involve	VERB
cana-3680	504	26	relaxed	relaxed	ADJ
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cana-3680	504	29	,	,	PUNCT
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cana-3680	504	31	in	in	ADP
cana-3680	504	32	pure	pure	ADJ
cana-3680	504	33	and	and	CCONJ
cana-3680	504	34	applied	applied	ADJ
cana-3680	504	35	mathematics	mathematic	NOUN
cana-3680	504	36	,	,	PUNCT
cana-3680	504	37	8(2	8(2	NUM
cana-3680	504	38	)	)	PUNCT
cana-3680	504	39	,	,	PUNCT
cana-3680	504	40	(	(	PUNCT
cana-3680	504	41	2017	2017	NUM
cana-3680	504	42	)	)	PUNCT
cana-3680	504	43	.	.	PUNCT
cana-3680	505	1	109	109	NUM
cana-3680	505	2	-	-	SYM
cana-3680	505	3	119	119	NUM
cana-3680	505	4	.	.	PUNCT
cana-3680	506	1	[	[	X
cana-3680	506	2	12	12	NUM
cana-3680	506	3	]	]	PUNCT
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cana-3680	506	12	,	,	PUNCT
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cana-3680	506	14	theory	theory	NOUN
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cana-3680	506	16	relaxed	relaxed	ADJ
cana-3680	506	17	quasi	quasi	ADJ
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cana-3680	506	20	variational	variational	ADJ
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cana-3680	506	28	,	,	PUNCT
cana-3680	506	29	22(12	22(12	NUM
cana-3680	506	30	)	)	PUNCT
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cana-3680	506	32	(	(	PUNCT
cana-3680	506	33	2021	2021	NUM
cana-3680	506	34	)	)	PUNCT
cana-3680	506	35	,	,	PUNCT
cana-3680	506	36	2671	2671	NUM
cana-3680	506	37	-	-	SYM
cana-3680	506	38	2678	2678	NUM
cana-3680	506	39	.	.	PUNCT
cana-3680	507	1	[	[	X
cana-3680	507	2	13	13	NUM
cana-3680	507	3	]	]	PUNCT
cana-3680	507	4	p.	p.	NOUN
cana-3680	507	5	lohawech	lohawech	NOUN
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cana-3680	507	28	,	,	PUNCT
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cana-3680	507	30	.	.	PUNCT
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cana-3680	509	1	sci	sci	PROPN
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cana-3680	509	3	2021(2021	2021(2021	NUM
cana-3680	509	4	)	)	PUNCT
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cana-3680	509	11	7	7	NUM
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cana-3680	509	13	,	,	PUNCT
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cana-3680	510	2	14	14	NUM
cana-3680	510	3	]	]	PUNCT
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cana-3680	510	16	variational	variational	ADJ
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cana-3680	510	19	ing	ing	ADJ
cana-3680	510	20	difference	difference	NOUN
cana-3680	510	21	of	of	ADP
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cana-3680	510	23	,	,	PUNCT
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cana-3680	510	25	inequa	inequa	PROPN
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cana-3680	511	1	appl	appl	PROPN
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cana-3680	511	4	,	,	PUNCT
cana-3680	511	5	(	(	PUNCT
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cana-3680	511	7	)	)	PUNCT
cana-3680	511	8	,	,	PUNCT
cana-3680	511	9	1	1	NUM
cana-3680	511	10	-	-	SYM
cana-3680	511	11	16	16	NUM
cana-3680	511	12	.	.	PUNCT
cana-3680	512	1	[	[	X
cana-3680	512	2	15	15	NUM
cana-3680	512	3	]	]	X
cana-3680	512	4	d.	d.	PROPN
cana-3680	512	5	r.	r.	PROPN
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cana-3680	512	24	system	system	NOUN
cana-3680	512	25	of	of	ADP
cana-3680	512	26	generalized	generalized	ADJ
cana-3680	512	27	variational	variational	ADJ
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cana-3680	512	29	,	,	PUNCT
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cana-3680	512	32	function	function	NOUN
cana-3680	512	33	spaces	space	NOUN
cana-3680	512	34	,	,	PUNCT
cana-3680	512	35	(	(	PUNCT
cana-3680	512	36	2017	2017	NUM
cana-3680	512	37	)	)	PUNCT
cana-3680	512	38	(	(	PUNCT
cana-3680	512	39	2017	2017	NUM
cana-3680	512	40	)	)	PUNCT
cana-3680	512	41	,	,	PUNCT
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cana-3680	512	43	icle	icle	NOUN
cana-3680	512	44	i	i	PROPN
cana-3680	512	45	d	d	PROPN
cana-3680	512	46	5847096	5847096	NUM
cana-3680	512	47	,	,	PUNCT
cana-3680	512	48	https://doi.org/10.1155/2017/5847096	https://doi.org/10.1155/2017/5847096	NOUN
cana-3680	512	49	.	.	PUNCT
cana-3680	513	1	[	[	X
cana-3680	513	2	16	16	NUM
cana-3680	513	3	]	]	SYM
cana-3680	513	4	salahuddin	salahuddin	NOUN
cana-3680	513	5	,	,	PUNCT
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cana-3680	513	8	for	for	ADP
cana-3680	513	9	a	a	DET
cana-3680	513	10	system	system	NOUN
cana-3680	513	11	of	of	ADP
cana-3680	513	12	nonlinear	nonlinear	ADJ
cana-3680	513	13	variational	variational	ADJ
cana-3680	513	14	type	type	NOUN
cana-3680	513	15	inclusions	inclusion	NOUN
cana-3680	513	16	in	in	ADP
cana-3680	513	17	banach	banach	NOUN
cana-3680	513	18	spaces	space	NOUN
cana-3680	513	19	,	,	PUNCT
cana-3680	513	20	kyungpook	kyungpook	PROPN
cana-3680	513	21	math	math	NOUN
cana-3680	513	22	.	.	PUNCT
cana-3680	514	1	j	j	PROPN
cana-3680	514	2	,	,	PUNCT
cana-3680	514	3	59	59	NUM
cana-3680	514	4	,	,	PUNCT
cana-3680	514	5	(	(	PUNCT
cana-3680	514	6	2019	2019	NUM
cana-3680	514	7	)	)	PUNCT
cana-3680	514	8	,	,	PUNCT
cana-3680	514	9	101	101	NUM
cana-3680	514	10	-	-	SYM
cana-3680	514	11	123	123	NUM
cana-3680	514	12	.	.	PUNCT
cana-3680	515	1	[	[	X
cana-3680	515	2	17	17	NUM
cana-3680	515	3	]	]	X
cana-3680	515	4	g.	g.	PROPN
cana-3680	515	5	stampacchia	stampacchia	PROPN
cana-3680	515	6	,	,	PUNCT
cana-3680	515	7	formes	forme	NOUN
cana-3680	515	8	bilineaires	bilineaire	NOUN
cana-3680	515	9	coercivites	coercivite	VERB
cana-3680	515	10	sur	sur	PROPN
cana-3680	515	11	les	le	NOUN
cana-3680	515	12	ensembles	ensemble	NOUN
cana-3680	515	13	convexes	convexe	NOUN
cana-3680	515	14	,	,	PUNCT
cana-3680	515	15	comptes	compte	VERB
cana-3680	515	16	rendus	rendus	PROPN
cana-3680	515	17	del	del	PROPN
cana-3680	515	18	academie	academie	PROPN
cana-3680	515	19	des	des	PROPN
cana-3680	515	20	sciences	sciences	PROPN
cana-3680	515	21	,	,	PUNCT
cana-3680	515	22	paris	paris	PROPN
cana-3680	515	23	.	.	PUNCT
cana-3680	516	1	258	258	NUM
cana-3680	516	2	,	,	PUNCT
cana-3680	516	3	(	(	PUNCT
cana-3680	516	4	1964	1964	NUM
cana-3680	516	5	)	)	PUNCT
cana-3680	516	6	,	,	PUNCT
cana-3680	516	7	4413	4413	NUM
cana-3680	516	8	-	-	SYM
cana-3680	516	9	4416	4416	NUM
cana-3680	516	10	.	.	PUNCT
cana-3680	517	1	[	[	X
cana-3680	517	2	18	18	NUM
cana-3680	517	3	]	]	PUNCT
cana-3680	517	4	x.	x.	NOUN
cana-3680	517	5	weng	weng	PROPN
cana-3680	517	6	,	,	PUNCT
cana-3680	517	7	fixed	fix	VERB
cana-3680	517	8	point	point	NOUN
cana-3680	517	9	iteration	iteration	NOUN
cana-3680	517	10	for	for	ADP
cana-3680	517	11	local	local	ADJ
cana-3680	517	12	strict	strict	ADJ
cana-3680	517	13	ly	ly	ADP
cana-3680	517	14	pseudocontractive	pseudocontractive	ADJ
cana-3680	517	15	mappings	mapping	NOUN
cana-3680	517	16	,	,	PUNCT
cana-3680	517	17	proc	proc	NOUN
cana-3680	517	18	.	.	PUNCT
cana-3680	518	1	amer	amer	PROPN
cana-3680	518	2	.	.	PUNCT
cana-3680	518	3	math	math	PROPN
cana-3680	518	4	.	.	PUNCT
cana-3680	519	1	soc	soc	PROPN
cana-3680	519	2	,	,	PUNCT
cana-3680	519	3	113	113	NUM
cana-3680	519	4	,	,	PUNCT
cana-3680	519	5	(	(	PUNCT
cana-3680	519	6	1991	1991	NUM
cana-3680	519	7	)	)	PUNCT
cana-3680	519	8	,	,	PUNCT
cana-3680	519	9	727	727	NUM
cana-3680	519	10	-	-	SYM
cana-3680	519	11	731	731	NUM
cana-3680	519	12	.	.	PUNCT
cana-3680	520	1	[	[	X
cana-3680	520	2	19	19	NUM
cana-3680	520	3	]	]	X
cana-3680	520	4	l.	l.	PROPN
cana-3680	520	5	c.	c.	PROPN
cana-3680	520	6	zeng	zeng	PROPN
cana-3680	520	7	,	,	PUNCT
cana-3680	520	8	s.	s.	PROPN
cana-3680	520	9	m.	m.	PROPN
cana-3680	520	10	guu	guu	PROPN
cana-3680	520	11	and	and	CCONJ
cana-3680	520	12	j.	j.	PROPN
cana-3680	520	13	c.	c.	PROPN
cana-3680	520	14	yao	yao	PROPN
cana-3680	520	15	}	}	PUNCT
cana-3680	520	16	,	,	PUNCT
cana-3680	520	17	characterization	characterization	NOUN
cana-3680	520	18	of	of	ADP
cana-3680	520	19	h	h	NOUN
cana-3680	520	20	-	-	PUNCT
cana-3680	520	21	monotone	monotone	ADJ
cana-3680	520	22	operators	operator	NOUN
cana-3680	520	23	with	with	ADP
cana-3680	520	24	application	application	NOUN
cana-3680	520	25	to	to	ADP
cana-3680	520	26	variational	variational	ADJ
cana-3680	520	27	inclusions	inclusion	NOUN
cana-3680	520	28	,	,	PUNCT
cana-3680	520	29	comput	comput	NOUN
cana-3680	520	30	.	.	PUNCT
cana-3680	521	1	math	math	NOUN
cana-3680	521	2	.	.	PUNCT
cana-3680	522	1	appl	appl	PROPN
cana-3680	522	2	.	.	PROPN
cana-3680	522	3	,	,	PUNCT
cana-3680	522	4	50	50	NUM
cana-3680	522	5	,	,	PUNCT
cana-3680	522	6	(	(	PUNCT
cana-3680	522	7	2005	2005	NUM
cana-3680	522	8	)	)	PUNCT
cana-3680	522	9	,	,	PUNCT
cana-3680	522	10	329	329	NUM
cana-3680	522	11	-	-	SYM
cana-3680	522	12	337	337	NUM
cana-3680	522	13	.	.	PUNCT