id	sid	tid	token	lemma	pos
ejpam-5187	1	1	european	european	PROPN
ejpam-5187	1	2	journal	journal	PROPN
ejpam-5187	1	3	of	of	ADP
ejpam-5187	1	4	pure	pure	ADJ
ejpam-5187	1	5	and	and	CCONJ
ejpam-5187	1	6	applied	apply	VERB
ejpam-5187	1	7	mathematics	mathematic	NOUN
ejpam-5187	1	8	vol	vol	NOUN
ejpam-5187	1	9	.	.	PROPN
ejpam-5187	2	1	17	17	NUM
ejpam-5187	2	2	,	,	PUNCT
ejpam-5187	2	3	no	no	INTJ
ejpam-5187	2	4	.	.	NOUN
ejpam-5187	2	5	3	3	NUM
ejpam-5187	2	6	,	,	PUNCT
ejpam-5187	2	7	2024	2024	NUM
ejpam-5187	2	8	,	,	PUNCT
ejpam-5187	2	9	1602	1602	NUM
ejpam-5187	2	10	-	-	SYM
ejpam-5187	2	11	1617	1617	NUM
ejpam-5187	2	12	issn	issn	PROPN
ejpam-5187	2	13	1307	1307	NUM
ejpam-5187	2	14	-	-	SYM
ejpam-5187	2	15	5543	5543	NUM
ejpam-5187	2	16	–	–	PUNCT
ejpam-5187	2	17	ejpam.com	ejpam.com	X
ejpam-5187	2	18	published	publish	VERB
ejpam-5187	2	19	by	by	ADP
ejpam-5187	2	20	new	new	PROPN
ejpam-5187	2	21	york	york	PROPN
ejpam-5187	2	22	business	business	PROPN
ejpam-5187	2	23	global	global	ADJ
ejpam-5187	2	24	modified	modify	VERB
ejpam-5187	2	25	inertial	inertial	ADJ
ejpam-5187	2	26	krasnosel’skii	krasnosel’skii	PROPN
ejpam-5187	2	27	-	-	PUNCT
ejpam-5187	2	28	mann	mann	PROPN
ejpam-5187	2	29	type	type	NOUN
ejpam-5187	2	30	method	method	NOUN
ejpam-5187	2	31	for	for	ADP
ejpam-5187	2	32	solving	solve	VERB
ejpam-5187	2	33	fixed	fix	VERB
ejpam-5187	2	34	point	point	NOUN
ejpam-5187	2	35	problems	problem	NOUN
ejpam-5187	2	36	in	in	ADP
ejpam-5187	2	37	real	real	ADJ
ejpam-5187	2	38	uniformly	uniformly	ADV
ejpam-5187	2	39	convex	convex	NOUN
ejpam-5187	2	40	banach	banach	NOUN
ejpam-5187	2	41	spaces	space	VERB
ejpam-5187	2	42	besheng	besheng	PROPN
ejpam-5187	2	43	george	george	PROPN
ejpam-5187	2	44	akuchu1	akuchu1	PROPN
ejpam-5187	2	45	,	,	PUNCT
ejpam-5187	2	46	maggie	maggie	PROPN
ejpam-5187	2	47	aphane2	aphane2	PROPN
ejpam-5187	2	48	,	,	PUNCT
ejpam-5187	2	49	godwin	godwin	PROPN
ejpam-5187	2	50	chidi	chidi	PROPN
ejpam-5187	2	51	ugwunnadi2,3,∗	ugwunnadi2,3,∗	PROPN
ejpam-5187	2	52	,	,	PUNCT
ejpam-5187	2	53	george	george	PROPN
ejpam-5187	2	54	emeka	emeka	PROPN
ejpam-5187	2	55	okereke4	okereke4	PROPN
ejpam-5187	2	56	1	1	NUM
ejpam-5187	2	57	department	department	NOUN
ejpam-5187	2	58	of	of	ADP
ejpam-5187	2	59	mathematics	mathematic	NOUN
ejpam-5187	2	60	,	,	PUNCT
ejpam-5187	2	61	university	university	PROPN
ejpam-5187	2	62	of	of	ADP
ejpam-5187	2	63	nigeria	nigeria	PROPN
ejpam-5187	2	64	nsukka	nsukka	PROPN
ejpam-5187	2	65	,	,	PUNCT
ejpam-5187	2	66	enugu	enugu	PROPN
ejpam-5187	2	67	state	state	PROPN
ejpam-5187	2	68	,	,	PUNCT
ejpam-5187	2	69	nigeria	nigeria	PROPN
ejpam-5187	2	70	2	2	NUM
ejpam-5187	2	71	department	department	NOUN
ejpam-5187	2	72	of	of	ADP
ejpam-5187	2	73	mathematics	mathematic	NOUN
ejpam-5187	2	74	and	and	CCONJ
ejpam-5187	2	75	applied	apply	VERB
ejpam-5187	2	76	mathematics	mathematic	NOUN
ejpam-5187	2	77	,	,	PUNCT
ejpam-5187	2	78	sefako	sefako	VERB
ejpam-5187	2	79	makgatho	makgatho	PROPN
ejpam-5187	2	80	health	health	PROPN
ejpam-5187	2	81	sciences	sciences	PROPN
ejpam-5187	2	82	university	university	PROPN
ejpam-5187	2	83	,	,	PUNCT
ejpam-5187	2	84	medunsa	medunsa	PROPN
ejpam-5187	2	85	,	,	PUNCT
ejpam-5187	2	86	p.o	p.o	PROPN
ejpam-5187	2	87	.	.	PROPN
ejpam-5187	2	88	box	box	PROPN
ejpam-5187	2	89	94	94	PROPN
ejpam-5187	2	90	,	,	PUNCT
ejpam-5187	2	91	pretoria	pretoria	PROPN
ejpam-5187	2	92	0204	0204	NUM
ejpam-5187	2	93	,	,	PUNCT
ejpam-5187	2	94	south	south	PROPN
ejpam-5187	2	95	africa	africa	PROPN
ejpam-5187	2	96	3	3	NUM
ejpam-5187	2	97	department	department	PROPN
ejpam-5187	2	98	of	of	ADP
ejpam-5187	2	99	mathematics	mathematic	NOUN
ejpam-5187	2	100	,	,	PUNCT
ejpam-5187	2	101	faculty	faculty	NOUN
ejpam-5187	2	102	of	of	ADP
ejpam-5187	2	103	science	science	NOUN
ejpam-5187	2	104	and	and	CCONJ
ejpam-5187	2	105	engineering	engineering	NOUN
ejpam-5187	2	106	,	,	PUNCT
ejpam-5187	2	107	university	university	NOUN
ejpam-5187	2	108	of	of	ADP
ejpam-5187	2	109	eswatini	eswatini	PROPN
ejpam-5187	2	110	,	,	PUNCT
ejpam-5187	2	111	private	private	ADJ
ejpam-5187	2	112	bag	bag	NOUN
ejpam-5187	2	113	4	4	NUM
ejpam-5187	2	114	,	,	PUNCT
ejpam-5187	2	115	kwaluseni	kwaluseni	PROPN
ejpam-5187	2	116	m201	m201	PROPN
ejpam-5187	2	117	,	,	PUNCT
ejpam-5187	2	118	eswatini	eswatini	VERB
ejpam-5187	2	119	4	4	NUM
ejpam-5187	2	120	department	department	NOUN
ejpam-5187	2	121	of	of	ADP
ejpam-5187	2	122	computer	computer	NOUN
ejpam-5187	2	123	science	science	NOUN
ejpam-5187	2	124	,	,	PUNCT
ejpam-5187	2	125	university	university	PROPN
ejpam-5187	2	126	of	of	ADP
ejpam-5187	2	127	nigeria	nigeria	PROPN
ejpam-5187	2	128	nsukka	nsukka	PROPN
ejpam-5187	2	129	,	,	PUNCT
ejpam-5187	2	130	enugu	enugu	PROPN
ejpam-5187	2	131	state	state	PROPN
ejpam-5187	2	132	,	,	PUNCT
ejpam-5187	2	133	nigeria	nigeria	PROPN
ejpam-5187	2	134	abstract	abstract	ADJ
ejpam-5187	2	135	.	.	PUNCT
ejpam-5187	3	1	we	we	PRON
ejpam-5187	3	2	present	present	VERB
ejpam-5187	3	3	an	an	DET
ejpam-5187	3	4	altered	altered	ADJ
ejpam-5187	3	5	version	version	NOUN
ejpam-5187	3	6	of	of	ADP
ejpam-5187	3	7	the	the	DET
ejpam-5187	3	8	inertial	inertial	ADJ
ejpam-5187	3	9	krasnosel’skii	krasnosel’skii	PROPN
ejpam-5187	3	10	-	-	PUNCT
ejpam-5187	3	11	mann	mann	PROPN
ejpam-5187	3	12	algorithm	algorithm	NOUN
ejpam-5187	3	13	and	and	CCONJ
ejpam-5187	3	14	demonstrate	demonstrate	VERB
ejpam-5187	3	15	convergence	convergence	NOUN
ejpam-5187	3	16	outcomes	outcome	NOUN
ejpam-5187	3	17	for	for	ADP
ejpam-5187	3	18	mappings	mapping	NOUN
ejpam-5187	3	19	that	that	PRON
ejpam-5187	3	20	are	be	AUX
ejpam-5187	3	21	asymptotically	asymptotically	ADV
ejpam-5187	3	22	nonexpansive	nonexpansive	ADJ
ejpam-5187	3	23	within	within	ADP
ejpam-5187	3	24	real	real	ADJ
ejpam-5187	3	25	,	,	PUNCT
ejpam-5187	3	26	uniformly	uniformly	ADV
ejpam-5187	3	27	convex	convex	VERB
ejpam-5187	3	28	banach	banach	NOUN
ejpam-5187	3	29	spaces	space	VERB
ejpam-5187	3	30	.	.	PUNCT
ejpam-5187	4	1	to	to	PART
ejpam-5187	4	2	achieve	achieve	VERB
ejpam-5187	4	3	our	our	PRON
ejpam-5187	4	4	results	result	NOUN
ejpam-5187	4	5	,	,	PUNCT
ejpam-5187	4	6	we	we	PRON
ejpam-5187	4	7	skillfully	skillfully	ADV
ejpam-5187	4	8	construct	construct	VERB
ejpam-5187	4	9	the	the	DET
ejpam-5187	4	10	inequality	inequality	NOUN
ejpam-5187	4	11	in	in	ADP
ejpam-5187	4	12	equation	equation	NOUN
ejpam-5187	4	13	(	(	PUNCT
ejpam-5187	4	14	6	6	NUM
ejpam-5187	4	15	)	)	PUNCT
ejpam-5187	4	16	and	and	CCONJ
ejpam-5187	4	17	apply	apply	VERB
ejpam-5187	4	18	it	it	PRON
ejpam-5187	4	19	accordingly	accordingly	ADV
ejpam-5187	4	20	.	.	PUNCT
ejpam-5187	5	1	our	our	PRON
ejpam-5187	5	2	findings	finding	NOUN
ejpam-5187	5	3	support	support	VERB
ejpam-5187	5	4	and	and	CCONJ
ejpam-5187	5	5	broadly	broadly	ADV
ejpam-5187	5	6	generalize	generalize	VERB
ejpam-5187	5	7	a	a	DET
ejpam-5187	5	8	number	number	NOUN
ejpam-5187	5	9	of	of	ADP
ejpam-5187	5	10	significant	significant	ADJ
ejpam-5187	5	11	findings	finding	NOUN
ejpam-5187	5	12	from	from	ADP
ejpam-5187	5	13	the	the	DET
ejpam-5187	5	14	literature	literature	NOUN
ejpam-5187	5	15	.	.	PUNCT
ejpam-5187	6	1	we	we	PRON
ejpam-5187	6	2	demonstrate	demonstrate	VERB
ejpam-5187	6	3	,	,	PUNCT
ejpam-5187	6	4	as	as	ADP
ejpam-5187	6	5	an	an	DET
ejpam-5187	6	6	application	application	NOUN
ejpam-5187	6	7	,	,	PUNCT
ejpam-5187	6	8	the	the	DET
ejpam-5187	6	9	generation	generation	NOUN
ejpam-5187	6	10	of	of	ADP
ejpam-5187	6	11	maximal	maximal	ADJ
ejpam-5187	6	12	monotone	monotone	ADJ
ejpam-5187	6	13	operators	operator	NOUN
ejpam-5187	6	14	’	'	PUNCT
ejpam-5187	6	15	zeros	zero	NOUN
ejpam-5187	6	16	via	via	ADP
ejpam-5187	6	17	fixed	fix	VERB
ejpam-5187	6	18	point	point	NOUN
ejpam-5187	6	19	methods	method	NOUN
ejpam-5187	6	20	in	in	ADP
ejpam-5187	6	21	hilbert	hilbert	PROPN
ejpam-5187	6	22	spaces	space	NOUN
ejpam-5187	6	23	.	.	PUNCT
ejpam-5187	7	1	additionally	additionally	ADV
ejpam-5187	7	2	,	,	PUNCT
ejpam-5187	7	3	we	we	PRON
ejpam-5187	7	4	solve	solve	VERB
ejpam-5187	7	5	convex	convex	ADJ
ejpam-5187	7	6	minimization	minimization	NOUN
ejpam-5187	7	7	issues	issue	NOUN
ejpam-5187	7	8	using	use	VERB
ejpam-5187	7	9	our	our	PRON
ejpam-5187	7	10	fixed	fix	VERB
ejpam-5187	7	11	-	-	PUNCT
ejpam-5187	7	12	point	point	NOUN
ejpam-5187	7	13	techniques	technique	NOUN
ejpam-5187	7	14	.	.	PUNCT
ejpam-5187	8	1	2020	2020	NUM
ejpam-5187	8	2	mathematics	mathematic	NOUN
ejpam-5187	8	3	subject	subject	NOUN
ejpam-5187	8	4	classifications	classification	NOUN
ejpam-5187	8	5	:	:	PUNCT
ejpam-5187	8	6	47h09	47h09	NUM
ejpam-5187	8	7	key	key	ADJ
ejpam-5187	8	8	words	word	NOUN
ejpam-5187	8	9	and	and	CCONJ
ejpam-5187	8	10	phrases	phrase	NOUN
ejpam-5187	8	11	:	:	PUNCT
ejpam-5187	8	12	asymptotically	asymptotically	ADV
ejpam-5187	8	13	nonexpansive	nonexpansive	ADJ
ejpam-5187	8	14	mappings	mapping	NOUN
ejpam-5187	8	15	,	,	PUNCT
ejpam-5187	8	16	modified	modify	VERB
ejpam-5187	8	17	inertial	inertial	ADJ
ejpam-5187	8	18	krasnosel’skiimann	krasnosel’skiimann	ADJ
ejpam-5187	8	19	,	,	PUNCT
ejpam-5187	8	20	continuous	continuous	ADJ
ejpam-5187	8	21	mappings	mapping	NOUN
ejpam-5187	8	22	,	,	PUNCT
ejpam-5187	8	23	convergence	convergence	NOUN
ejpam-5187	8	24	,	,	PUNCT
ejpam-5187	8	25	fixed	fix	VERB
ejpam-5187	8	26	points	point	NOUN
ejpam-5187	8	27	,	,	PUNCT
ejpam-5187	8	28	banach	banach	NOUN
ejpam-5187	8	29	spaces	space	VERB
ejpam-5187	8	30	1	1	NUM
ejpam-5187	8	31	.	.	PUNCT
ejpam-5187	9	1	introduction	introduction	NOUN
ejpam-5187	9	2	we	we	PRON
ejpam-5187	9	3	consider	consider	VERB
ejpam-5187	9	4	a	a	DET
ejpam-5187	9	5	banach	banach	NOUN
ejpam-5187	9	6	space	space	NOUN
ejpam-5187	9	7	x	x	PUNCT
ejpam-5187	9	8	and	and	CCONJ
ejpam-5187	9	9	any	any	DET
ejpam-5187	9	10	self	self	NOUN
ejpam-5187	9	11	map	map	NOUN
ejpam-5187	9	12	of	of	ADP
ejpam-5187	9	13	x	x	PUNCT
ejpam-5187	9	14	to	to	PART
ejpam-5187	9	15	be	be	AUX
ejpam-5187	9	16	t	t	NOUN
ejpam-5187	9	17	:	:	PUNCT
ejpam-5187	10	1	x	x	X
ejpam-5187	10	2	→	→	PUNCT
ejpam-5187	10	3	x	x	X
ejpam-5187	10	4	in	in	ADP
ejpam-5187	10	5	this	this	DET
ejpam-5187	10	6	paper	paper	NOUN
ejpam-5187	10	7	.	.	PUNCT
ejpam-5187	11	1	the	the	DET
ejpam-5187	11	2	fixed	fix	VERB
ejpam-5187	11	3	points	point	NOUN
ejpam-5187	11	4	set	set	NOUN
ejpam-5187	11	5	of	of	ADP
ejpam-5187	11	6	t	t	PROPN
ejpam-5187	11	7	is	be	AUX
ejpam-5187	11	8	denoted	denote	VERB
ejpam-5187	11	9	by	by	ADP
ejpam-5187	11	10	f	f	PROPN
ejpam-5187	11	11	(	(	PUNCT
ejpam-5187	11	12	t	t	PROPN
ejpam-5187	11	13	)	)	PUNCT
ejpam-5187	11	14	and	and	CCONJ
ejpam-5187	11	15	may	may	AUX
ejpam-5187	11	16	be	be	AUX
ejpam-5187	11	17	found	find	VERB
ejpam-5187	11	18	with	with	ADP
ejpam-5187	11	19	the	the	DET
ejpam-5187	11	20	formula	formula	NOUN
ejpam-5187	11	21	f	f	X
ejpam-5187	11	22	(	(	PUNCT
ejpam-5187	11	23	t	t	PROPN
ejpam-5187	11	24	)	)	PUNCT
ejpam-5187	11	25	:	:	PUNCT
ejpam-5187	12	1	=	=	SYM
ejpam-5187	12	2	{	{	PUNCT
ejpam-5187	12	3	x	x	PUNCT
ejpam-5187	12	4	∈	∈	PROPN
ejpam-5187	12	5	x	x	X
ejpam-5187	12	6	:	:	PUNCT
ejpam-5187	12	7	t	t	PROPN
ejpam-5187	12	8	a	a	X
ejpam-5187	12	9	=	=	PUNCT
ejpam-5187	12	10	a	a	NOUN
ejpam-5187	12	11	}	}	PUNCT
ejpam-5187	12	12	)	)	PUNCT
ejpam-5187	12	13	.	.	PUNCT
ejpam-5187	13	1	we	we	PRON
ejpam-5187	13	2	refer	refer	VERB
ejpam-5187	13	3	to	to	ADP
ejpam-5187	13	4	the	the	DET
ejpam-5187	13	5	mapping	mapping	NOUN
ejpam-5187	13	6	t	t	PROPN
ejpam-5187	13	7	as	as	SCONJ
ejpam-5187	13	8	follows	follow	VERB
ejpam-5187	13	9	:	:	PUNCT
ejpam-5187	13	10	(	(	PUNCT
ejpam-5187	13	11	i	i	NOUN
ejpam-5187	13	12	)	)	PUNCT
ejpam-5187	14	1	nonexpansive	nonexpansive	PROPN
ejpam-5187	14	2	,	,	PUNCT
ejpam-5187	14	3	if	if	SCONJ
ejpam-5187	14	4	||t	||t	ADJ
ejpam-5187	14	5	a−	a−	PROPN
ejpam-5187	14	6	t	t	PROPN
ejpam-5187	14	7	b||	b||	PROPN
ejpam-5187	14	8	≤	≤	NUM
ejpam-5187	14	9	||a−	||a−	NOUN
ejpam-5187	14	10	b||	b||	ADV
ejpam-5187	14	11	for	for	ADP
ejpam-5187	14	12	all	all	DET
ejpam-5187	14	13	a	a	PRON
ejpam-5187	14	14	,	,	PUNCT
ejpam-5187	14	15	b	b	X
ejpam-5187	14	16	∈	∈	PROPN
ejpam-5187	14	17	x	x	X
ejpam-5187	14	18	,	,	PUNCT
ejpam-5187	14	19	∗corresponding	∗corresponde	VERB
ejpam-5187	14	20	author	author	NOUN
ejpam-5187	14	21	.	.	PUNCT
ejpam-5187	15	1	doi	doi	NOUN
ejpam-5187	15	2	:	:	PUNCT
ejpam-5187	15	3	https://doi.org/10.29020/nybg.ejpam.v17i3.5187	https://doi.org/10.29020/nybg.ejpam.v17i3.5187	ADJ
ejpam-5187	15	4	email	email	NOUN
ejpam-5187	15	5	addresses	address	NOUN
ejpam-5187	15	6	:	:	PUNCT
ejpam-5187	15	7	george.akuchu@unn.edu.ng	george.akuchu@unn.edu.ng	PROPN
ejpam-5187	15	8	(	(	PUNCT
ejpam-5187	15	9	b.	b.	PROPN
ejpam-5187	15	10	g.	g.	PROPN
ejpam-5187	15	11	akuchu	akuchu	PROPN
ejpam-5187	15	12	)	)	PUNCT
ejpam-5187	15	13	,	,	PUNCT
ejpam-5187	15	14	maggie.aphane@smu.ac.za	maggie.aphane@smu.ac.za	PROPN
ejpam-5187	15	15	(	(	PUNCT
ejpam-5187	15	16	m.	m.	NOUN
ejpam-5187	15	17	aphane	aphane	PROPN
ejpam-5187	15	18	)	)	PUNCT
ejpam-5187	15	19	,	,	PUNCT
ejpam-5187	15	20	gcugwunnadi@uniswa.sz	gcugwunnadi@uniswa.sz	PROPN
ejpam-5187	15	21	(	(	PUNCT
ejpam-5187	15	22	g.	g.	PROPN
ejpam-5187	15	23	c.	c.	PROPN
ejpam-5187	15	24	ugwunnadi	ugwunnadi	PROPN
ejpam-5187	15	25	)	)	PUNCT
ejpam-5187	15	26	,	,	PUNCT
ejpam-5187	15	27	george.okereke@unn.edu.ng	george.okereke@unn.edu.ng	NUM
ejpam-5187	15	28	(	(	PUNCT
ejpam-5187	15	29	g.	g.	PROPN
ejpam-5187	15	30	e.	e.	PROPN
ejpam-5187	15	31	okereke	okereke	PROPN
ejpam-5187	15	32	)	)	PUNCT
ejpam-5187	15	33	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-5187	15	34	1602	1602	NUM
ejpam-5187	16	1	©	©	ADP
ejpam-5187	16	2	2024	2024	NUM
ejpam-5187	16	3	ejpam	ejpam	NOUN
ejpam-5187	16	4	all	all	DET
ejpam-5187	16	5	rights	right	NOUN
ejpam-5187	16	6	reserved	reserve	VERB
ejpam-5187	16	7	.	.	PUNCT
ejpam-5187	17	1	b.	b.	PROPN
ejpam-5187	17	2	g.	g.	PROPN
ejpam-5187	17	3	akuchu	akuchu	PROPN
ejpam-5187	17	4	et	et	PROPN
ejpam-5187	17	5	al	al	PROPN
ejpam-5187	17	6	.	.	PUNCT
ejpam-5187	17	7	/	/	SYM
ejpam-5187	17	8	eur	eur	PROPN
ejpam-5187	17	9	.	.	PUNCT
ejpam-5187	18	1	j.	j.	PROPN
ejpam-5187	18	2	pure	pure	PROPN
ejpam-5187	18	3	appl	appl	PROPN
ejpam-5187	18	4	.	.	PROPN
ejpam-5187	18	5	math	math	PROPN
ejpam-5187	18	6	,	,	PUNCT
ejpam-5187	18	7	17	17	NUM
ejpam-5187	18	8	(	(	PUNCT
ejpam-5187	18	9	3	3	NUM
ejpam-5187	18	10	)	)	PUNCT
ejpam-5187	18	11	(	(	PUNCT
ejpam-5187	18	12	2024	2024	NUM
ejpam-5187	18	13	)	)	PUNCT
ejpam-5187	18	14	,	,	PUNCT
ejpam-5187	18	15	1602	1602	NUM
ejpam-5187	18	16	-	-	SYM
ejpam-5187	18	17	1617	1617	NUM
ejpam-5187	18	18	1603	1603	NUM
ejpam-5187	18	19	(	(	PUNCT
ejpam-5187	18	20	ii	ii	NOUN
ejpam-5187	18	21	)	)	PUNCT
ejpam-5187	18	22	asymptotically	asymptotically	ADV
ejpam-5187	18	23	nonexpansive	nonexpansive	ADJ
ejpam-5187	18	24	,	,	PUNCT
ejpam-5187	18	25	if	if	SCONJ
ejpam-5187	18	26	∀a	∀a	NOUN
ejpam-5187	18	27	,	,	PUNCT
ejpam-5187	18	28	b	b	X
ejpam-5187	18	29	∈	∈	PROPN
ejpam-5187	18	30	x	x	INTJ
ejpam-5187	18	31	,	,	PUNCT
ejpam-5187	18	32	there	there	PRON
ejpam-5187	18	33	exists	exist	VERB
ejpam-5187	18	34	a	a	DET
ejpam-5187	18	35	sequence	sequence	NOUN
ejpam-5187	18	36	{	{	PUNCT
ejpam-5187	18	37	κn	κn	NOUN
ejpam-5187	18	38	}	}	PUNCT
ejpam-5187	18	39	⊂	⊂	PROPN
ejpam-5187	19	1	[	[	X
ejpam-5187	19	2	1,+∞	1,+∞	NUM
ejpam-5187	19	3	)	)	PUNCT
ejpam-5187	19	4	,	,	PUNCT
ejpam-5187	19	5	with	with	ADP
ejpam-5187	19	6	limn→∞	limn→∞	PROPN
ejpam-5187	19	7	κn	κn	NOUN
ejpam-5187	19	8	=	=	SYM
ejpam-5187	19	9	1	1	NUM
ejpam-5187	19	10	,	,	PUNCT
ejpam-5187	19	11	such	such	ADJ
ejpam-5187	19	12	that	that	SCONJ
ejpam-5187	19	13	||t	||t	PROPN
ejpam-5187	19	14	na−	na−	PROPN
ejpam-5187	19	15	t	t	PROPN
ejpam-5187	19	16	nb||	nb||	SYM
ejpam-5187	19	17	≤	≤	NUM
ejpam-5187	19	18	κn||a−	κn||a−	PROPN
ejpam-5187	19	19	b||	b||	ADV
ejpam-5187	19	20	∀n	∀n	NUM
ejpam-5187	19	21	≥	≥	NOUN
ejpam-5187	20	1	1	1	NUM
ejpam-5187	20	2	.	.	PUNCT
ejpam-5187	20	3	(	(	PUNCT
ejpam-5187	20	4	1	1	NUM
ejpam-5187	20	5	)	)	PUNCT
ejpam-5187	20	6	(	(	PUNCT
ejpam-5187	20	7	iii	iii	NOUN
ejpam-5187	20	8	)	)	PUNCT
ejpam-5187	20	9	uniformly	uniformly	ADV
ejpam-5187	20	10	l−	l−	NOUN
ejpam-5187	20	11	lipschitzian	lipschitzian	ADJ
ejpam-5187	20	12	(	(	PUNCT
ejpam-5187	20	13	see	see	VERB
ejpam-5187	20	14	for	for	ADP
ejpam-5187	20	15	example	example	NOUN
ejpam-5187	20	16	[	[	X
ejpam-5187	20	17	19	19	NUM
ejpam-5187	20	18	]	]	PUNCT
ejpam-5187	20	19	)	)	PUNCT
ejpam-5187	20	20	,	,	PUNCT
ejpam-5187	20	21	if	if	SCONJ
ejpam-5187	20	22	there	there	PRON
ejpam-5187	20	23	exists	exist	VERB
ejpam-5187	20	24	a	a	DET
ejpam-5187	20	25	real	real	ADV
ejpam-5187	20	26	constant	constant	ADJ
ejpam-5187	20	27	l	l	NOUN
ejpam-5187	20	28	>	>	X
ejpam-5187	20	29	0	0	NUM
ejpam-5187	20	30	,	,	PUNCT
ejpam-5187	20	31	such	such	ADJ
ejpam-5187	20	32	that	that	SCONJ
ejpam-5187	20	33	for	for	ADP
ejpam-5187	20	34	all	all	DET
ejpam-5187	20	35	a	a	PRON
ejpam-5187	20	36	,	,	PUNCT
ejpam-5187	20	37	b	b	X
ejpam-5187	20	38	∈	∈	PROPN
ejpam-5187	20	39	x	x	X
ejpam-5187	20	40	,	,	PUNCT
ejpam-5187	20	41	n	n	CCONJ
ejpam-5187	20	42	≥	≥	NOUN
ejpam-5187	20	43	1	1	NUM
ejpam-5187	20	44	,	,	PUNCT
ejpam-5187	20	45	the	the	DET
ejpam-5187	20	46	following	follow	VERB
ejpam-5187	20	47	holds	hold	VERB
ejpam-5187	20	48	||t	||t	PROPN
ejpam-5187	20	49	na−	na−	PROPN
ejpam-5187	20	50	t	t	PROPN
ejpam-5187	20	51	nb||	nb||	PUNCT
ejpam-5187	20	52	≤	≤	PROPN
ejpam-5187	20	53	l||a−	l||a−	PROPN
ejpam-5187	20	54	b||	b||	PROPN
ejpam-5187	20	55	.	.	PUNCT
ejpam-5187	21	1	we	we	PRON
ejpam-5187	21	2	can	can	AUX
ejpam-5187	21	3	easily	easily	ADV
ejpam-5187	21	4	observe	observe	VERB
ejpam-5187	21	5	that	that	SCONJ
ejpam-5187	21	6	any	any	DET
ejpam-5187	21	7	nonexpansive	nonexpansive	ADJ
ejpam-5187	21	8	maps	map	NOUN
ejpam-5187	21	9	with	with	ADP
ejpam-5187	21	10	sequence	sequence	NOUN
ejpam-5187	21	11	κn	κn	NOUN
ejpam-5187	21	12	=	=	SYM
ejpam-5187	21	13	1∀	1∀	NUM
ejpam-5187	21	14	n	n	PRON
ejpam-5187	21	15	≥	≥	NOUN
ejpam-5187	21	16	1	1	NUM
ejpam-5187	21	17	are	be	AUX
ejpam-5187	21	18	asymptotically	asymptotically	ADV
ejpam-5187	21	19	nonexpansive	nonexpansive	ADJ
ejpam-5187	21	20	maps	map	NOUN
ejpam-5187	21	21	.	.	PUNCT
ejpam-5187	22	1	it	it	PRON
ejpam-5187	22	2	is	be	AUX
ejpam-5187	22	3	also	also	ADV
ejpam-5187	22	4	bounded	bound	VERB
ejpam-5187	22	5	because	because	SCONJ
ejpam-5187	22	6	κn	κn	NOUN
ejpam-5187	22	7	is	be	AUX
ejpam-5187	22	8	convergent	convergent	ADJ
ejpam-5187	22	9	.	.	PUNCT
ejpam-5187	23	1	all	all	DET
ejpam-5187	23	2	asymptotically	asymptotically	ADV
ejpam-5187	23	3	nonexpansive	nonexpansive	ADJ
ejpam-5187	23	4	mappings	mapping	NOUN
ejpam-5187	23	5	are	be	AUX
ejpam-5187	23	6	therefore	therefore	ADV
ejpam-5187	23	7	uniformly	uniformly	ADV
ejpam-5187	23	8	l	l	NOUN
ejpam-5187	23	9	-	-	PUNCT
ejpam-5187	23	10	lipschitzian	lipschitzian	ADJ
ejpam-5187	23	11	,	,	PUNCT
ejpam-5187	23	12	and	and	CCONJ
ejpam-5187	23	13	so	so	ADV
ejpam-5187	23	14	continuous	continuous	ADJ
ejpam-5187	23	15	.	.	PUNCT
ejpam-5187	24	1	goebel	goebel	NOUN
ejpam-5187	24	2	and	and	CCONJ
ejpam-5187	24	3	kirk	kirk	PROPN
ejpam-5187	24	4	(	(	PUNCT
ejpam-5187	24	5	see	see	VERB
ejpam-5187	24	6	[	[	X
ejpam-5187	24	7	9	9	NUM
ejpam-5187	24	8	]	]	PUNCT
ejpam-5187	24	9	)	)	PUNCT
ejpam-5187	24	10	introduced	introduce	VERB
ejpam-5187	24	11	the	the	DET
ejpam-5187	24	12	class	class	NOUN
ejpam-5187	24	13	of	of	ADP
ejpam-5187	24	14	asymptotically	asymptotically	ADV
ejpam-5187	24	15	nonexpansive	nonexpansive	ADJ
ejpam-5187	24	16	mappings	mapping	NOUN
ejpam-5187	24	17	as	as	ADP
ejpam-5187	24	18	a	a	DET
ejpam-5187	24	19	natural	natural	ADJ
ejpam-5187	24	20	extension	extension	NOUN
ejpam-5187	24	21	of	of	ADP
ejpam-5187	24	22	the	the	DET
ejpam-5187	24	23	nonexpansive	nonexpansive	ADJ
ejpam-5187	24	24	mappings	mapping	NOUN
ejpam-5187	24	25	class	class	NOUN
ejpam-5187	24	26	,	,	PUNCT
ejpam-5187	24	27	and	and	CCONJ
ejpam-5187	24	28	the	the	DET
ejpam-5187	24	29	construction	construction	NOUN
ejpam-5187	24	30	of	of	ADP
ejpam-5187	24	31	fixed	fix	VERB
ejpam-5187	24	32	points	point	NOUN
ejpam-5187	24	33	of	of	ADP
ejpam-5187	24	34	nonexpansive	nonexpansive	ADJ
ejpam-5187	24	35	mappings	mapping	NOUN
ejpam-5187	24	36	and	and	CCONJ
ejpam-5187	24	37	their	their	PRON
ejpam-5187	24	38	generalizations	generalization	NOUN
ejpam-5187	24	39	have	have	AUX
ejpam-5187	24	40	historically	historically	ADV
ejpam-5187	24	41	attracted	attract	VERB
ejpam-5187	24	42	a	a	DET
ejpam-5187	24	43	great	great	ADJ
ejpam-5187	24	44	deal	deal	NOUN
ejpam-5187	24	45	of	of	ADP
ejpam-5187	24	46	research	research	NOUN
ejpam-5187	24	47	interest	interest	NOUN
ejpam-5187	24	48	.	.	PUNCT
ejpam-5187	25	1	this	this	PRON
ejpam-5187	25	2	is	be	AUX
ejpam-5187	25	3	due	due	ADJ
ejpam-5187	25	4	to	to	ADP
ejpam-5187	25	5	the	the	DET
ejpam-5187	25	6	fact	fact	NOUN
ejpam-5187	25	7	that	that	SCONJ
ejpam-5187	25	8	nonexpansive	nonexpansive	ADJ
ejpam-5187	25	9	mappings	mapping	NOUN
ejpam-5187	25	10	are	be	AUX
ejpam-5187	25	11	strongly	strongly	ADV
ejpam-5187	25	12	associated	associate	VERB
ejpam-5187	25	13	with	with	ADP
ejpam-5187	25	14	numerous	numerous	ADJ
ejpam-5187	25	15	other	other	ADJ
ejpam-5187	25	16	mapping	mapping	NOUN
ejpam-5187	25	17	classes	class	NOUN
ejpam-5187	25	18	,	,	PUNCT
ejpam-5187	25	19	such	such	ADJ
ejpam-5187	25	20	as	as	ADP
ejpam-5187	25	21	the	the	DET
ejpam-5187	25	22	accretive	accretive	ADJ
ejpam-5187	25	23	operators	operator	NOUN
ejpam-5187	25	24	,	,	PUNCT
ejpam-5187	25	25	and	and	CCONJ
ejpam-5187	25	26	the	the	DET
ejpam-5187	25	27	practical	practical	ADJ
ejpam-5187	25	28	applications	application	NOUN
ejpam-5187	25	29	of	of	ADP
ejpam-5187	25	30	their	their	PRON
ejpam-5187	25	31	fixed	fix	VERB
ejpam-5187	25	32	point	point	NOUN
ejpam-5187	25	33	construction	construction	NOUN
ejpam-5187	25	34	in	in	ADP
ejpam-5187	25	35	image	image	NOUN
ejpam-5187	25	36	recovery	recovery	NOUN
ejpam-5187	25	37	,	,	PUNCT
ejpam-5187	25	38	computer	computer	NOUN
ejpam-5187	25	39	tomography	tomography	NOUN
ejpam-5187	25	40	,	,	PUNCT
ejpam-5187	25	41	signal	signal	NOUN
ejpam-5187	25	42	processing	processing	NOUN
ejpam-5187	25	43	,	,	PUNCT
ejpam-5187	25	44	and	and	CCONJ
ejpam-5187	25	45	other	other	ADJ
ejpam-5187	25	46	fields	field	NOUN
ejpam-5187	25	47	are	be	AUX
ejpam-5187	25	48	numerous	numerous	ADJ
ejpam-5187	25	49	.	.	PUNCT
ejpam-5187	26	1	in	in	ADP
ejpam-5187	26	2	1967	1967	NUM
ejpam-5187	26	3	,	,	PUNCT
ejpam-5187	26	4	browder	browder	NOUN
ejpam-5187	26	5	[	[	X
ejpam-5187	26	6	5	5	NUM
ejpam-5187	26	7	]	]	PUNCT
ejpam-5187	26	8	and	and	CCONJ
ejpam-5187	26	9	kato	kato	PROPN
ejpam-5187	27	1	[	[	X
ejpam-5187	27	2	12	12	NUM
ejpam-5187	27	3	]	]	PUNCT
ejpam-5187	27	4	independently	independently	ADV
ejpam-5187	27	5	introduced	introduce	VERB
ejpam-5187	27	6	the	the	DET
ejpam-5187	27	7	class	class	NOUN
ejpam-5187	27	8	of	of	ADP
ejpam-5187	27	9	accretive	accretive	ADJ
ejpam-5187	27	10	operators	operator	NOUN
ejpam-5187	27	11	.	.	PUNCT
ejpam-5187	28	1	browder	browder	NOUN
ejpam-5187	29	1	[	[	X
ejpam-5187	29	2	5	5	NUM
ejpam-5187	29	3	]	]	PUNCT
ejpam-5187	29	4	proved	prove	VERB
ejpam-5187	29	5	a	a	DET
ejpam-5187	29	6	basic	basic	ADJ
ejpam-5187	29	7	result	result	NOUN
ejpam-5187	29	8	in	in	ADP
ejpam-5187	29	9	the	the	DET
ejpam-5187	29	10	theory	theory	NOUN
ejpam-5187	29	11	of	of	ADP
ejpam-5187	29	12	accretive	accretive	ADJ
ejpam-5187	29	13	operators	operator	NOUN
ejpam-5187	29	14	:	:	PUNCT
ejpam-5187	29	15	if	if	SCONJ
ejpam-5187	29	16	a	a	PRON
ejpam-5187	29	17	is	be	AUX
ejpam-5187	29	18	lipschitzian	lipschitzian	ADJ
ejpam-5187	29	19	and	and	CCONJ
ejpam-5187	29	20	accretive	accretive	ADJ
ejpam-5187	29	21	,	,	PUNCT
ejpam-5187	29	22	then	then	ADV
ejpam-5187	29	23	dz	dz	INTJ
ejpam-5187	29	24	dt	dt	X
ejpam-5187	30	1	+	+	PROPN
ejpam-5187	30	2	t	t	X
ejpam-5187	30	3	az	az	NOUN
ejpam-5187	30	4	=	=	SYM
ejpam-5187	30	5	0	0	NUM
ejpam-5187	30	6	,	,	PUNCT
ejpam-5187	30	7	z(0	z(0	X
ejpam-5187	30	8	)	)	PUNCT
ejpam-5187	30	9	=	=	SYM
ejpam-5187	30	10	z0	z0	PROPN
ejpam-5187	30	11	is	be	AUX
ejpam-5187	30	12	a	a	DET
ejpam-5187	30	13	solved	solve	VERB
ejpam-5187	30	14	initial	initial	ADJ
ejpam-5187	30	15	value	value	NOUN
ejpam-5187	30	16	problem	problem	NOUN
ejpam-5187	30	17	.	.	PUNCT
ejpam-5187	31	1	assume	assume	VERB
ejpam-5187	31	2	we	we	PRON
ejpam-5187	31	3	have	have	VERB
ejpam-5187	31	4	a	a	DET
ejpam-5187	31	5	hilbert	hilbert	NOUN
ejpam-5187	31	6	space	space	NOUN
ejpam-5187	31	7	h.	h.	PROPN
ejpam-5187	31	8	it	it	PRON
ejpam-5187	31	9	is	be	AUX
ejpam-5187	31	10	well	well	ADV
ejpam-5187	31	11	known	know	VERB
ejpam-5187	31	12	(	(	PUNCT
ejpam-5187	31	13	see	see	VERB
ejpam-5187	31	14	,	,	PUNCT
ejpam-5187	31	15	for	for	ADP
ejpam-5187	31	16	example	example	NOUN
ejpam-5187	31	17	,	,	PUNCT
ejpam-5187	31	18	[	[	X
ejpam-5187	31	19	1	1	NUM
ejpam-5187	31	20	]	]	PUNCT
ejpam-5187	31	21	)	)	PUNCT
ejpam-5187	31	22	that	that	SCONJ
ejpam-5187	31	23	if	if	SCONJ
ejpam-5187	31	24	a	a	DET
ejpam-5187	31	25	:	:	PUNCT
ejpam-5187	31	26	h	h	NOUN
ejpam-5187	31	27	→	→	SYM
ejpam-5187	31	28	h	h	NOUN
ejpam-5187	31	29	is	be	AUX
ejpam-5187	31	30	an	an	DET
ejpam-5187	31	31	accretive	accretive	ADJ
ejpam-5187	31	32	operator	operator	NOUN
ejpam-5187	31	33	,	,	PUNCT
ejpam-5187	31	34	then	then	ADV
ejpam-5187	31	35	the	the	DET
ejpam-5187	31	36	resolvent	resolvent	NOUN
ejpam-5187	31	37	of	of	ADP
ejpam-5187	31	38	a	a	PRON
ejpam-5187	31	39	,	,	PUNCT
ejpam-5187	31	40	given	give	VERB
ejpam-5187	31	41	by	by	ADP
ejpam-5187	31	42	jλ	jλ	ADP
ejpam-5187	31	43	a	a	PRON
ejpam-5187	31	44	:	:	PUNCT
ejpam-5187	31	45	=	=	SYM
ejpam-5187	31	46	(	(	PUNCT
ejpam-5187	31	47	i	i	PRON
ejpam-5187	31	48	+	+	CCONJ
ejpam-5187	31	49	λa)−1	λa)−1	ADV
ejpam-5187	31	50	,	,	PUNCT
ejpam-5187	31	51	is	be	AUX
ejpam-5187	31	52	a	a	DET
ejpam-5187	31	53	nonexpansive	nonexpansive	ADJ
ejpam-5187	31	54	operator	operator	NOUN
ejpam-5187	31	55	for	for	ADP
ejpam-5187	31	56	any	any	DET
ejpam-5187	31	57	real	real	ADJ
ejpam-5187	31	58	constant	constant	ADJ
ejpam-5187	31	59	λ	λ	X
ejpam-5187	31	60	>	>	X
ejpam-5187	31	61	0	0	NUM
ejpam-5187	31	62	.	.	PUNCT
ejpam-5187	32	1	the	the	DET
ejpam-5187	32	2	zeros	zero	NOUN
ejpam-5187	32	3	of	of	ADP
ejpam-5187	32	4	a	a	PRON
ejpam-5187	32	5	are	be	AUX
ejpam-5187	32	6	obviously	obviously	ADV
ejpam-5187	32	7	the	the	DET
ejpam-5187	32	8	fixed	fix	VERB
ejpam-5187	32	9	points	point	NOUN
ejpam-5187	32	10	of	of	ADP
ejpam-5187	32	11	jλ	jλ	ADP
ejpam-5187	32	12	a.	a.	NOUN
ejpam-5187	32	13	thus	thus	ADV
ejpam-5187	32	14	,	,	PUNCT
ejpam-5187	32	15	several	several	ADJ
ejpam-5187	32	16	application	application	NOUN
ejpam-5187	32	17	domains	domain	NOUN
ejpam-5187	32	18	united	unite	VERB
ejpam-5187	32	19	by	by	ADP
ejpam-5187	32	20	the	the	DET
ejpam-5187	32	21	theory	theory	NOUN
ejpam-5187	32	22	of	of	ADP
ejpam-5187	32	23	accretive	accretive	ADJ
ejpam-5187	32	24	operators	operator	NOUN
ejpam-5187	32	25	are	be	AUX
ejpam-5187	32	26	brought	bring	VERB
ejpam-5187	32	27	together	together	ADV
ejpam-5187	32	28	by	by	ADP
ejpam-5187	32	29	studying	study	VERB
ejpam-5187	32	30	fixed	fix	VERB
ejpam-5187	32	31	points	point	NOUN
ejpam-5187	32	32	of	of	ADP
ejpam-5187	32	33	nonexpansive	nonexpansive	ADJ
ejpam-5187	32	34	mappings	mapping	NOUN
ejpam-5187	32	35	and	and	CCONJ
ejpam-5187	32	36	their	their	PRON
ejpam-5187	32	37	generalizations	generalization	NOUN
ejpam-5187	32	38	.	.	PUNCT
ejpam-5187	33	1	this	this	PRON
ejpam-5187	33	2	makes	make	VERB
ejpam-5187	33	3	the	the	DET
ejpam-5187	33	4	study	study	NOUN
ejpam-5187	33	5	current	current	ADJ
ejpam-5187	33	6	.	.	PUNCT
ejpam-5187	34	1	the	the	DET
ejpam-5187	34	2	approximation	approximation	NOUN
ejpam-5187	34	3	of	of	ADP
ejpam-5187	34	4	fixed	fix	VERB
ejpam-5187	34	5	points	point	NOUN
ejpam-5187	34	6	of	of	ADP
ejpam-5187	34	7	nonexpansive	nonexpansive	ADJ
ejpam-5187	34	8	mappings	mapping	NOUN
ejpam-5187	34	9	has	have	AUX
ejpam-5187	34	10	been	be	AUX
ejpam-5187	34	11	studied	study	VERB
ejpam-5187	34	12	by	by	ADP
ejpam-5187	34	13	a	a	DET
ejpam-5187	34	14	number	number	NOUN
ejpam-5187	34	15	of	of	ADP
ejpam-5187	34	16	authors	author	NOUN
ejpam-5187	34	17	in	in	ADP
ejpam-5187	34	18	various	various	ADJ
ejpam-5187	34	19	ways	way	NOUN
ejpam-5187	34	20	.	.	PUNCT
ejpam-5187	35	1	an	an	DET
ejpam-5187	35	2	iteration	iteration	NOUN
ejpam-5187	35	3	approach	approach	NOUN
ejpam-5187	35	4	for	for	ADP
ejpam-5187	35	5	the	the	DET
ejpam-5187	35	6	production	production	NOUN
ejpam-5187	35	7	of	of	ADP
ejpam-5187	35	8	fixed	fix	VERB
ejpam-5187	35	9	points	point	NOUN
ejpam-5187	35	10	of	of	ADP
ejpam-5187	35	11	nonexpansive	nonexpansive	ADJ
ejpam-5187	35	12	mappings	mapping	NOUN
ejpam-5187	35	13	was	be	AUX
ejpam-5187	35	14	introduced	introduce	VERB
ejpam-5187	35	15	by	by	ADP
ejpam-5187	35	16	w.	w.	PROPN
ejpam-5187	35	17	r.	r.	PROPN
ejpam-5187	35	18	mann	mann	PROPN
ejpam-5187	35	19	in	in	ADP
ejpam-5187	35	20	[	[	X
ejpam-5187	35	21	16	16	NUM
ejpam-5187	35	22	]	]	PUNCT
ejpam-5187	35	23	,	,	PUNCT
ejpam-5187	35	24	to	to	PART
ejpam-5187	35	25	be	be	AUX
ejpam-5187	35	26	precise	precise	ADJ
ejpam-5187	35	27	:	:	PUNCT
ejpam-5187	35	28	given	give	VERB
ejpam-5187	35	29	a	a	DET
ejpam-5187	35	30	real	real	ADJ
ejpam-5187	35	31	hilbert	hilbert	NOUN
ejpam-5187	35	32	space	space	NOUN
ejpam-5187	35	33	h	h	NOUN
ejpam-5187	35	34	,	,	PUNCT
ejpam-5187	35	35	let	let	VERB
ejpam-5187	35	36	c	c	PRON
ejpam-5187	35	37	be	be	AUX
ejpam-5187	35	38	a	a	DET
ejpam-5187	35	39	nonempty	nonempty	ADJ
ejpam-5187	35	40	convex	convex	NOUN
ejpam-5187	35	41	subset	subset	NOUN
ejpam-5187	35	42	of	of	ADP
ejpam-5187	35	43	it	it	PRON
ejpam-5187	35	44	.	.	PUNCT
ejpam-5187	36	1	starting	start	VERB
ejpam-5187	36	2	from	from	ADP
ejpam-5187	36	3	any	any	DET
ejpam-5187	36	4	random	random	ADJ
ejpam-5187	36	5	x0	x0	PROPN
ejpam-5187	36	6	∈	∈	PROPN
ejpam-5187	36	7	c	c	PROPN
ejpam-5187	36	8	,	,	PUNCT
ejpam-5187	36	9	the	the	DET
ejpam-5187	36	10	mann	mann	PROPN
ejpam-5187	36	11	’s	’s	PART
ejpam-5187	36	12	sequence	sequence	NOUN
ejpam-5187	36	13	is	be	AUX
ejpam-5187	36	14	produced	produce	VERB
ejpam-5187	36	15	by	by	ADP
ejpam-5187	36	16	an+1	an+1	NOUN
ejpam-5187	36	17	=	=	SYM
ejpam-5187	36	18	(	(	PUNCT
ejpam-5187	36	19	1−	1−	NUM
ejpam-5187	36	20	ξn)an	ξn)an	PUNCT
ejpam-5187	37	1	+	+	CCONJ
ejpam-5187	37	2	ξnt	ξnt	VERB
ejpam-5187	37	3	an	an	PRON
ejpam-5187	37	4	,	,	PUNCT
ejpam-5187	37	5	(	(	PUNCT
ejpam-5187	37	6	2	2	NUM
ejpam-5187	37	7	)	)	PUNCT
ejpam-5187	37	8	where	where	SCONJ
ejpam-5187	37	9	the	the	DET
ejpam-5187	37	10	real	real	ADJ
ejpam-5187	37	11	sequence	sequence	NOUN
ejpam-5187	37	12	{	{	PUNCT
ejpam-5187	37	13	ξn	ξn	PROPN
ejpam-5187	37	14	}	}	PUNCT
ejpam-5187	37	15	⊂	⊂	PROPN
ejpam-5187	37	16	(	(	PUNCT
ejpam-5187	37	17	0	0	NUM
ejpam-5187	37	18	,	,	PUNCT
ejpam-5187	37	19	1	1	NUM
ejpam-5187	37	20	)	)	PUNCT
ejpam-5187	37	21	.	.	PUNCT
ejpam-5187	38	1	the	the	DET
ejpam-5187	38	2	author	author	NOUN
ejpam-5187	38	3	demonstrated	demonstrate	VERB
ejpam-5187	38	4	that	that	SCONJ
ejpam-5187	38	5	the	the	DET
ejpam-5187	38	6	sequence	sequence	NOUN
ejpam-5187	38	7	{	{	PUNCT
ejpam-5187	38	8	an	an	PRON
ejpam-5187	38	9	}	}	PUNCT
ejpam-5187	38	10	converges	converge	VERB
ejpam-5187	38	11	weakly	weakly	ADJ
ejpam-5187	38	12	to	to	ADP
ejpam-5187	38	13	a	a	DET
ejpam-5187	38	14	fixed	fix	VERB
ejpam-5187	38	15	point	point	NOUN
ejpam-5187	38	16	of	of	ADP
ejpam-5187	38	17	t	t	PROPN
ejpam-5187	38	18	with	with	ADP
ejpam-5187	38	19	the	the	DET
ejpam-5187	38	20	constraint	constraint	NOUN
ejpam-5187	38	21	∑	∑	PUNCT
ejpam-5187	38	22	ξn(1−	ξn(1−	PROPN
ejpam-5187	38	23	ξn	ξn	PROPN
ejpam-5187	38	24	)	)	PUNCT
ejpam-5187	38	25	=	=	PUNCT
ejpam-5187	39	1	+	+	PROPN
ejpam-5187	39	2	∞.	∞.	PROPN
ejpam-5187	39	3	studying	study	VERB
ejpam-5187	39	4	convergence	convergence	NOUN
ejpam-5187	39	5	results	result	NOUN
ejpam-5187	39	6	to	to	ADP
ejpam-5187	39	7	its	its	PRON
ejpam-5187	39	8	fixed	fix	VERB
ejpam-5187	39	9	points	point	NOUN
ejpam-5187	39	10	becomes	become	VERB
ejpam-5187	39	11	relevant	relevant	ADJ
ejpam-5187	39	12	when	when	SCONJ
ejpam-5187	39	13	one	one	PRON
ejpam-5187	39	14	realizes	realize	VERB
ejpam-5187	39	15	that	that	SCONJ
ejpam-5187	39	16	asymptotically	asymptotically	ADV
ejpam-5187	39	17	nonxepansive	nonxepansive	ADJ
ejpam-5187	39	18	mappings	mapping	NOUN
ejpam-5187	39	19	are	be	AUX
ejpam-5187	39	20	generalizations	generalization	NOUN
ejpam-5187	39	21	of	of	ADP
ejpam-5187	39	22	nonexpansive	nonexpansive	ADJ
ejpam-5187	39	23	mappings	mapping	NOUN
ejpam-5187	39	24	.	.	PUNCT
ejpam-5187	40	1	numerous	numerous	ADJ
ejpam-5187	40	2	scholars	scholar	NOUN
ejpam-5187	40	3	have	have	AUX
ejpam-5187	40	4	examined	examine	VERB
ejpam-5187	40	5	convergence	convergence	NOUN
ejpam-5187	40	6	outcomes	outcome	NOUN
ejpam-5187	40	7	for	for	ADP
ejpam-5187	40	8	fixed	fix	VERB
ejpam-5187	40	9	points	point	NOUN
ejpam-5187	40	10	of	of	ADP
ejpam-5187	40	11	asymptotically	asymptotically	PROPN
ejpam-5187	40	12	b.	b.	PROPN
ejpam-5187	40	13	g.	g.	PROPN
ejpam-5187	40	14	akuchu	akuchu	PROPN
ejpam-5187	40	15	et	et	PROPN
ejpam-5187	40	16	al	al	PROPN
ejpam-5187	40	17	.	.	PUNCT
ejpam-5187	40	18	/	/	SYM
ejpam-5187	40	19	eur	eur	PROPN
ejpam-5187	40	20	.	.	PUNCT
ejpam-5187	41	1	j.	j.	PROPN
ejpam-5187	41	2	pure	pure	PROPN
ejpam-5187	41	3	appl	appl	PROPN
ejpam-5187	41	4	.	.	PROPN
ejpam-5187	41	5	math	math	PROPN
ejpam-5187	41	6	,	,	PUNCT
ejpam-5187	41	7	17	17	NUM
ejpam-5187	41	8	(	(	PUNCT
ejpam-5187	41	9	3	3	NUM
ejpam-5187	41	10	)	)	PUNCT
ejpam-5187	41	11	(	(	PUNCT
ejpam-5187	41	12	2024	2024	NUM
ejpam-5187	41	13	)	)	PUNCT
ejpam-5187	41	14	,	,	PUNCT
ejpam-5187	41	15	1602	1602	NUM
ejpam-5187	41	16	-	-	SYM
ejpam-5187	41	17	1617	1617	NUM
ejpam-5187	41	18	1604	1604	NUM
ejpam-5187	41	19	nonexpansive	nonexpansive	ADJ
ejpam-5187	41	20	mappings	mapping	NOUN
ejpam-5187	41	21	(	(	PUNCT
ejpam-5187	41	22	see	see	VERB
ejpam-5187	41	23	,	,	PUNCT
ejpam-5187	41	24	for	for	ADP
ejpam-5187	41	25	instance	instance	NOUN
ejpam-5187	41	26	,	,	PUNCT
ejpam-5187	41	27	to	to	ADP
ejpam-5187	41	28	[	[	X
ejpam-5187	41	29	9	9	NUM
ejpam-5187	41	30	,	,	PUNCT
ejpam-5187	41	31	10	10	NUM
ejpam-5187	41	32	]	]	PUNCT
ejpam-5187	41	33	)	)	PUNCT
ejpam-5187	41	34	.	.	PUNCT
ejpam-5187	42	1	some	some	DET
ejpam-5187	42	2	authors	author	NOUN
ejpam-5187	42	3	used	use	VERB
ejpam-5187	42	4	the	the	DET
ejpam-5187	42	5	modified	modify	VERB
ejpam-5187	42	6	mann	mann	PROPN
ejpam-5187	42	7	iteration	iteration	NOUN
ejpam-5187	42	8	sequence	sequence	NOUN
ejpam-5187	42	9	,	,	PUNCT
ejpam-5187	42	10	which	which	PRON
ejpam-5187	42	11	is	be	AUX
ejpam-5187	42	12	defined	define	VERB
ejpam-5187	42	13	as	as	ADP
ejpam-5187	42	14	follows	follow	VERB
ejpam-5187	42	15	,	,	PUNCT
ejpam-5187	42	16	to	to	PART
ejpam-5187	42	17	achieve	achieve	VERB
ejpam-5187	42	18	this	this	PRON
ejpam-5187	42	19	:	:	PUNCT
ejpam-5187	42	20	the	the	DET
ejpam-5187	42	21	modified	modify	VERB
ejpam-5187	42	22	mann	mann	PROPN
ejpam-5187	42	23	iteration	iteration	NOUN
ejpam-5187	42	24	sequence	sequence	NOUN
ejpam-5187	42	25	(	(	PUNCT
ejpam-5187	42	26	see	see	VERB
ejpam-5187	42	27	,	,	PUNCT
ejpam-5187	42	28	for	for	ADP
ejpam-5187	42	29	example	example	NOUN
ejpam-5187	42	30	,	,	PUNCT
ejpam-5187	42	31	[	[	X
ejpam-5187	42	32	19	19	NUM
ejpam-5187	42	33	]	]	PUNCT
ejpam-5187	42	34	)	)	PUNCT
ejpam-5187	42	35	is	be	AUX
ejpam-5187	42	36	formed	form	VERB
ejpam-5187	42	37	from	from	ADP
ejpam-5187	42	38	an	an	DET
ejpam-5187	42	39	arbitrary	arbitrary	ADJ
ejpam-5187	42	40	a0	a0	NOUN
ejpam-5187	42	41	∈	∈	PROPN
ejpam-5187	43	1	c	c	NOUN
ejpam-5187	43	2	if	if	SCONJ
ejpam-5187	43	3	c	c	PROPN
ejpam-5187	43	4	is	be	AUX
ejpam-5187	43	5	a	a	DET
ejpam-5187	43	6	nonempty	nonempty	ADJ
ejpam-5187	43	7	convex	convex	NOUN
ejpam-5187	43	8	subset	subset	NOUN
ejpam-5187	43	9	of	of	ADP
ejpam-5187	43	10	a	a	DET
ejpam-5187	43	11	banach	banach	NOUN
ejpam-5187	43	12	space	space	NOUN
ejpam-5187	43	13	,	,	PUNCT
ejpam-5187	43	14	e	e	NOUN
ejpam-5187	43	15	,	,	PUNCT
ejpam-5187	43	16	and	and	CCONJ
ejpam-5187	43	17	t	t	NOUN
ejpam-5187	43	18	:	:	PUNCT
ejpam-5187	43	19	c	c	X
ejpam-5187	43	20	→	→	SYM
ejpam-5187	43	21	c	c	PROPN
ejpam-5187	43	22	is	be	AUX
ejpam-5187	43	23	any	any	DET
ejpam-5187	43	24	map	map	NOUN
ejpam-5187	43	25	.	.	PUNCT
ejpam-5187	44	1	an+1	an+1	AUX
ejpam-5187	45	1	=	=	SYM
ejpam-5187	45	2	(	(	PUNCT
ejpam-5187	45	3	1−	1−	NUM
ejpam-5187	45	4	ξn)an	ξn)an	PUNCT
ejpam-5187	46	1	+	+	CCONJ
ejpam-5187	46	2	ξnt	ξnt	PROPN
ejpam-5187	46	3	nan	nan	PROPN
ejpam-5187	46	4	,	,	PUNCT
ejpam-5187	46	5	(	(	PUNCT
ejpam-5187	46	6	3	3	X
ejpam-5187	46	7	)	)	PUNCT
ejpam-5187	46	8	where	where	SCONJ
ejpam-5187	46	9	a	a	DET
ejpam-5187	46	10	real	real	ADJ
ejpam-5187	46	11	sequence	sequence	NOUN
ejpam-5187	46	12	{	{	PUNCT
ejpam-5187	46	13	ξn	ξn	PROPN
ejpam-5187	46	14	}	}	PUNCT
ejpam-5187	46	15	⊂	⊂	PROPN
ejpam-5187	46	16	(	(	PUNCT
ejpam-5187	46	17	0	0	NUM
ejpam-5187	46	18	,	,	PUNCT
ejpam-5187	46	19	1	1	NUM
ejpam-5187	46	20	)	)	PUNCT
ejpam-5187	46	21	.	.	PUNCT
ejpam-5187	47	1	the	the	DET
ejpam-5187	47	2	authors	author	NOUN
ejpam-5187	47	3	(	(	PUNCT
ejpam-5187	47	4	see	see	VERB
ejpam-5187	47	5	,	,	PUNCT
ejpam-5187	47	6	for	for	ADP
ejpam-5187	47	7	example	example	NOUN
ejpam-5187	47	8	,	,	PUNCT
ejpam-5187	47	9	[	[	X
ejpam-5187	47	10	9	9	NUM
ejpam-5187	47	11	]	]	PUNCT
ejpam-5187	47	12	)	)	PUNCT
ejpam-5187	47	13	demonstrated	demonstrate	VERB
ejpam-5187	47	14	convergence	convergence	NOUN
ejpam-5187	47	15	results	result	NOUN
ejpam-5187	47	16	to	to	ADP
ejpam-5187	47	17	fixed	fix	VERB
ejpam-5187	47	18	points	point	NOUN
ejpam-5187	47	19	of	of	ADP
ejpam-5187	47	20	t	t	PROPN
ejpam-5187	47	21	under	under	ADP
ejpam-5187	47	22	specific	specific	ADJ
ejpam-5187	47	23	restrictions	restriction	NOUN
ejpam-5187	47	24	on	on	ADP
ejpam-5187	47	25	the	the	DET
ejpam-5187	47	26	iteration	iteration	NOUN
ejpam-5187	47	27	parameter	parameter	NOUN
ejpam-5187	47	28	.	.	PUNCT
ejpam-5187	48	1	2	2	X
ejpam-5187	48	2	.	.	X
ejpam-5187	48	3	inertial	inertial	ADJ
ejpam-5187	48	4	iteration	iteration	NOUN
ejpam-5187	48	5	schemes	scheme	NOUN
ejpam-5187	48	6	many	many	ADJ
ejpam-5187	48	7	authors	author	NOUN
ejpam-5187	48	8	(	(	PUNCT
ejpam-5187	48	9	see	see	VERB
ejpam-5187	48	10	,	,	PUNCT
ejpam-5187	48	11	for	for	ADP
ejpam-5187	48	12	example	example	NOUN
ejpam-5187	48	13	,	,	PUNCT
ejpam-5187	48	14	[	[	X
ejpam-5187	48	15	1	1	NUM
ejpam-5187	48	16	,	,	PUNCT
ejpam-5187	48	17	4	4	NUM
ejpam-5187	48	18	,	,	PUNCT
ejpam-5187	48	19	6–8	6–8	NOUN
ejpam-5187	48	20	,	,	PUNCT
ejpam-5187	48	21	13	13	NUM
ejpam-5187	48	22	,	,	PUNCT
ejpam-5187	48	23	14	14	NUM
ejpam-5187	48	24	,	,	PUNCT
ejpam-5187	48	25	17	17	NUM
ejpam-5187	48	26	,	,	PUNCT
ejpam-5187	48	27	21	21	NUM
ejpam-5187	48	28	,	,	PUNCT
ejpam-5187	48	29	23	23	NUM
ejpam-5187	48	30	,	,	PUNCT
ejpam-5187	48	31	24	24	NUM
ejpam-5187	48	32	]	]	PUNCT
ejpam-5187	48	33	)	)	PUNCT
ejpam-5187	48	34	have	have	AUX
ejpam-5187	48	35	recently	recently	ADV
ejpam-5187	48	36	investigated	investigate	VERB
ejpam-5187	48	37	iteration	iteration	NOUN
ejpam-5187	48	38	schemes	scheme	NOUN
ejpam-5187	48	39	known	know	VERB
ejpam-5187	48	40	as	as	ADP
ejpam-5187	48	41	’	'	PUNCT
ejpam-5187	48	42	inertial	inertial	ADJ
ejpam-5187	48	43	iteration	iteration	NOUN
ejpam-5187	48	44	schemes	scheme	NOUN
ejpam-5187	48	45	’	'	PUNCT
ejpam-5187	48	46	since	since	SCONJ
ejpam-5187	48	47	the	the	DET
ejpam-5187	48	48	rate	rate	NOUN
ejpam-5187	48	49	of	of	ADP
ejpam-5187	48	50	convergence	convergence	NOUN
ejpam-5187	48	51	of	of	ADP
ejpam-5187	48	52	iteration	iteration	NOUN
ejpam-5187	48	53	sequences	sequence	NOUN
ejpam-5187	48	54	is	be	AUX
ejpam-5187	48	55	equally	equally	ADV
ejpam-5187	48	56	highly	highly	ADV
ejpam-5187	48	57	significant	significant	ADJ
ejpam-5187	48	58	.	.	PUNCT
ejpam-5187	49	1	the	the	DET
ejpam-5187	49	2	characteristic	characteristic	NOUN
ejpam-5187	49	3	of	of	ADP
ejpam-5187	49	4	these	these	DET
ejpam-5187	49	5	schemes	scheme	NOUN
ejpam-5187	49	6	is	be	AUX
ejpam-5187	49	7	that	that	SCONJ
ejpam-5187	49	8	they	they	PRON
ejpam-5187	49	9	are	be	AUX
ejpam-5187	49	10	known	know	VERB
ejpam-5187	49	11	to	to	PART
ejpam-5187	49	12	be	be	AUX
ejpam-5187	49	13	faster	fast	ADJ
ejpam-5187	49	14	than	than	ADP
ejpam-5187	49	15	well	well	ADV
ejpam-5187	49	16	-	-	PUNCT
ejpam-5187	49	17	known	know	VERB
ejpam-5187	49	18	convergent	convergent	NOUN
ejpam-5187	49	19	iteration	iteration	NOUN
ejpam-5187	49	20	schemes	scheme	NOUN
ejpam-5187	49	21	because	because	SCONJ
ejpam-5187	49	22	of	of	ADP
ejpam-5187	49	23	the	the	DET
ejpam-5187	49	24	addition	addition	NOUN
ejpam-5187	49	25	of	of	ADP
ejpam-5187	49	26	a	a	DET
ejpam-5187	49	27	term	term	NOUN
ejpam-5187	49	28	called	call	VERB
ejpam-5187	49	29	the	the	DET
ejpam-5187	49	30	inertial	inertial	ADJ
ejpam-5187	49	31	term	term	NOUN
ejpam-5187	49	32	.	.	PUNCT
ejpam-5187	50	1	a	a	DET
ejpam-5187	50	2	few	few	ADJ
ejpam-5187	50	3	examples	example	NOUN
ejpam-5187	50	4	of	of	ADP
ejpam-5187	50	5	inertial	inertial	ADJ
ejpam-5187	50	6	schemes	scheme	NOUN
ejpam-5187	50	7	are	be	AUX
ejpam-5187	50	8	given	give	VERB
ejpam-5187	50	9	in	in	ADP
ejpam-5187	50	10	[	[	X
ejpam-5187	50	11	1	1	NUM
ejpam-5187	50	12	]	]	PUNCT
ejpam-5187	50	13	,	,	PUNCT
ejpam-5187	50	14	where	where	SCONJ
ejpam-5187	50	15	the	the	DET
ejpam-5187	50	16	authors	author	NOUN
ejpam-5187	50	17	presented	present	VERB
ejpam-5187	50	18	the	the	DET
ejpam-5187	50	19	inertial	inertial	ADJ
ejpam-5187	50	20	krasnosel’skii	krasnosel’skii	PROPN
ejpam-5187	50	21	-	-	PUNCT
ejpam-5187	50	22	mann	mann	PROPN
ejpam-5187	50	23	iteration	iteration	NOUN
ejpam-5187	50	24	as	as	SCONJ
ejpam-5187	50	25	follows	follow	VERB
ejpam-5187	50	26	for	for	ADP
ejpam-5187	50	27	a	a	DET
ejpam-5187	50	28	self	self	NOUN
ejpam-5187	50	29	nonexpansive	nonexpansive	ADJ
ejpam-5187	50	30	mapping	mapping	NOUN
ejpam-5187	50	31	of	of	ADP
ejpam-5187	50	32	a	a	DET
ejpam-5187	50	33	real	real	ADJ
ejpam-5187	50	34	hilbert	hilbert	NOUN
ejpam-5187	50	35	space	space	NOUN
ejpam-5187	50	36	h:	h:	NUM
ejpam-5187	50	37	a0	a0	PROPN
ejpam-5187	50	38	,	,	PUNCT
ejpam-5187	50	39	a1	a1	NOUN
ejpam-5187	50	40	∈	∈	PROPN
ejpam-5187	50	41	h	h	NOUN
ejpam-5187	50	42	bk	bk	ADP
ejpam-5187	50	43	=	=	SYM
ejpam-5187	50	44	ak	ak	PROPN
ejpam-5187	50	45	+	+	PROPN
ejpam-5187	50	46	tk(ak	tk(ak	PROPN
ejpam-5187	50	47	−	−	NOUN
ejpam-5187	50	48	ak−1	ak−1	NOUN
ejpam-5187	50	49	)	)	PUNCT
ejpam-5187	50	50	ak+1	ak+1	NOUN
ejpam-5187	50	51	=	=	SYM
ejpam-5187	50	52	(	(	PUNCT
ejpam-5187	50	53	1−	1−	NUM
ejpam-5187	50	54	ξk)ak	ξk)ak	SYM
ejpam-5187	50	55	+	+	NUM
ejpam-5187	50	56	ξktbk	ξktbk	NOUN
ejpam-5187	50	57	,	,	PUNCT
ejpam-5187	50	58	k	k	PROPN
ejpam-5187	50	59	=	=	SYM
ejpam-5187	50	60	0	0	NUM
ejpam-5187	50	61	,	,	PUNCT
ejpam-5187	50	62	1	1	NUM
ejpam-5187	50	63	,	,	PUNCT
ejpam-5187	50	64	...	...	PUNCT
ejpam-5187	50	65	(	(	PUNCT
ejpam-5187	50	66	4	4	X
ejpam-5187	50	67	)	)	PUNCT
ejpam-5187	50	68	the	the	DET
ejpam-5187	50	69	authors	author	NOUN
ejpam-5187	50	70	demonstrated	demonstrate	VERB
ejpam-5187	50	71	the	the	DET
ejpam-5187	50	72	weak	weak	ADJ
ejpam-5187	50	73	convergence	convergence	NOUN
ejpam-5187	50	74	of	of	ADP
ejpam-5187	50	75	the	the	DET
ejpam-5187	50	76	scheme	scheme	NOUN
ejpam-5187	50	77	to	to	ADP
ejpam-5187	50	78	fixed	fix	VERB
ejpam-5187	50	79	points	point	NOUN
ejpam-5187	50	80	of	of	ADP
ejpam-5187	50	81	nonexpansive	nonexpansive	ADJ
ejpam-5187	50	82	mappings	mapping	NOUN
ejpam-5187	50	83	under	under	ADP
ejpam-5187	50	84	the	the	DET
ejpam-5187	50	85	criteria	criterion	NOUN
ejpam-5187	50	86	that	that	SCONJ
ejpam-5187	50	87	0	0	NUM
ejpam-5187	50	88	≤	≤	NUM
ejpam-5187	50	89	tk	tk	PROPN
ejpam-5187	50	90	≤	≤	PROPN
ejpam-5187	50	91	t	t	PROPN
ejpam-5187	50	92	<	<	X
ejpam-5187	50	93	1	1	NUM
ejpam-5187	50	94	,	,	PUNCT
ejpam-5187	50	95	for	for	ADP
ejpam-5187	50	96	some	some	DET
ejpam-5187	50	97	t	t	NOUN
ejpam-5187	50	98	∈	∈	PROPN
ejpam-5187	50	99	(	(	PUNCT
ejpam-5187	50	100	0	0	NUM
ejpam-5187	50	101	,	,	PUNCT
ejpam-5187	50	102	1	1	NUM
ejpam-5187	50	103	)	)	PUNCT
ejpam-5187	50	104	,	,	PUNCT
ejpam-5187	50	105	and∑	and∑	X
ejpam-5187	51	1	tk∥ak	tk∥ak	NOUN
ejpam-5187	51	2	−	−	PROPN
ejpam-5187	51	3	ak−1∥2	ak−1∥2	ADV
ejpam-5187	51	4	<	<	X
ejpam-5187	51	5	+	+	NOUN
ejpam-5187	51	6	∞.	∞.	PROPN
ejpam-5187	51	7	the	the	DET
ejpam-5187	51	8	inertial	inertial	ADJ
ejpam-5187	51	9	term	term	NOUN
ejpam-5187	51	10	is	be	AUX
ejpam-5187	51	11	denoted	denote	VERB
ejpam-5187	51	12	by	by	ADP
ejpam-5187	51	13	tk(ak	tk(ak	PROPN
ejpam-5187	51	14	−	−	PROPN
ejpam-5187	51	15	ak−1	ak−1	PROPN
ejpam-5187	51	16	)	)	PUNCT
ejpam-5187	51	17	.	.	PUNCT
ejpam-5187	52	1	the	the	DET
ejpam-5187	52	2	interested	interested	ADJ
ejpam-5187	52	3	reader	reader	NOUN
ejpam-5187	52	4	might	might	AUX
ejpam-5187	52	5	refer	refer	VERB
ejpam-5187	52	6	to	to	ADP
ejpam-5187	52	7	[	[	X
ejpam-5187	52	8	1	1	NUM
ejpam-5187	52	9	,	,	PUNCT
ejpam-5187	52	10	4	4	NUM
ejpam-5187	52	11	,	,	PUNCT
ejpam-5187	52	12	7	7	NUM
ejpam-5187	52	13	,	,	PUNCT
ejpam-5187	52	14	15	15	NUM
ejpam-5187	52	15	]	]	PUNCT
ejpam-5187	52	16	,	,	PUNCT
ejpam-5187	52	17	etc	etc	X
ejpam-5187	52	18	.	.	X
ejpam-5187	52	19	for	for	ADP
ejpam-5187	52	20	additional	additional	ADJ
ejpam-5187	52	21	arguments	argument	NOUN
ejpam-5187	52	22	on	on	ADP
ejpam-5187	52	23	the	the	DET
ejpam-5187	52	24	insertion	insertion	NOUN
ejpam-5187	52	25	of	of	ADP
ejpam-5187	52	26	inertial	inertial	ADJ
ejpam-5187	52	27	terms	term	NOUN
ejpam-5187	52	28	to	to	ADP
ejpam-5187	52	29	iteration	iteration	NOUN
ejpam-5187	52	30	schemes	scheme	NOUN
ejpam-5187	52	31	.	.	PUNCT
ejpam-5187	53	1	the	the	DET
ejpam-5187	53	2	concept	concept	NOUN
ejpam-5187	53	3	of	of	ADP
ejpam-5187	53	4	inertial	inertial	ADJ
ejpam-5187	53	5	technique	technique	NOUN
ejpam-5187	53	6	was	be	AUX
ejpam-5187	53	7	merged	merge	VERB
ejpam-5187	53	8	with	with	ADP
ejpam-5187	53	9	the	the	DET
ejpam-5187	53	10	halpern	halpern	ADJ
ejpam-5187	53	11	viscosity	viscosity	NOUN
ejpam-5187	53	12	algorithms	algorithm	NOUN
ejpam-5187	53	13	in	in	ADP
ejpam-5187	53	14	[	[	X
ejpam-5187	53	15	25	25	NUM
ejpam-5187	53	16	]	]	PUNCT
ejpam-5187	53	17	,	,	PUNCT
ejpam-5187	53	18	whereby	whereby	SCONJ
ejpam-5187	53	19	modified	modify	VERB
ejpam-5187	53	20	inertial	inertial	ADJ
ejpam-5187	53	21	mann	mann	NOUN
ejpam-5187	53	22	algorithms	algorithm	NOUN
ejpam-5187	53	23	were	be	AUX
ejpam-5187	53	24	introduced	introduce	VERB
ejpam-5187	53	25	.	.	PUNCT
ejpam-5187	54	1	the	the	DET
ejpam-5187	54	2	following	follow	VERB
ejpam-5187	54	3	theorems	theorem	NOUN
ejpam-5187	54	4	were	be	AUX
ejpam-5187	54	5	used	use	VERB
ejpam-5187	54	6	by	by	ADP
ejpam-5187	54	7	the	the	DET
ejpam-5187	54	8	authors	author	NOUN
ejpam-5187	54	9	to	to	PART
ejpam-5187	54	10	examine	examine	VERB
ejpam-5187	54	11	convergence	convergence	NOUN
ejpam-5187	54	12	results	result	NOUN
ejpam-5187	54	13	to	to	ADP
ejpam-5187	54	14	fixed	fix	VERB
ejpam-5187	54	15	points	point	NOUN
ejpam-5187	54	16	of	of	ADP
ejpam-5187	54	17	nonexpansive	nonexpansive	ADJ
ejpam-5187	54	18	mappings	mapping	NOUN
ejpam-5187	54	19	using	use	VERB
ejpam-5187	54	20	these	these	DET
ejpam-5187	54	21	algorithms	algorithm	NOUN
ejpam-5187	54	22	:	:	PUNCT
ejpam-5187	54	23	theorem	theorem	NOUN
ejpam-5187	54	24	1	1	NUM
ejpam-5187	54	25	.	.	PUNCT
ejpam-5187	55	1	[	[	X
ejpam-5187	55	2	25	25	NUM
ejpam-5187	55	3	]	]	PUNCT
ejpam-5187	55	4	let	let	VERB
ejpam-5187	55	5	t	t	NOUN
ejpam-5187	55	6	:	:	PUNCT
ejpam-5187	55	7	c	c	X
ejpam-5187	55	8	→	→	PUNCT
ejpam-5187	55	9	c	c	X
ejpam-5187	55	10	be	be	AUX
ejpam-5187	55	11	a	a	DET
ejpam-5187	55	12	nonexpansive	nonexpansive	ADJ
ejpam-5187	55	13	mapping	mapping	NOUN
ejpam-5187	55	14	with	with	ADP
ejpam-5187	55	15	f	f	PROPN
ejpam-5187	55	16	(	(	PUNCT
ejpam-5187	55	17	t	t	PROPN
ejpam-5187	55	18	)	)	PUNCT
ejpam-5187	55	19	̸=	̸=	PROPN
ejpam-5187	55	20	∅	∅	NOUN
ejpam-5187	55	21	and	and	CCONJ
ejpam-5187	55	22	c	c	X
ejpam-5187	55	23	a	a	DET
ejpam-5187	55	24	nonempty	nonempty	ADV
ejpam-5187	55	25	closed	close	VERB
ejpam-5187	55	26	convex	convex	NOUN
ejpam-5187	55	27	subset	subset	NOUN
ejpam-5187	55	28	of	of	ADP
ejpam-5187	55	29	a	a	DET
ejpam-5187	55	30	real	real	ADJ
ejpam-5187	55	31	hilbert	hilbert	NOUN
ejpam-5187	55	32	space	space	NOUN
ejpam-5187	55	33	h.	h.	PROPN
ejpam-5187	55	34	the	the	DET
ejpam-5187	55	35	following	follow	VERB
ejpam-5187	55	36	criteria	criterion	NOUN
ejpam-5187	55	37	are	be	AUX
ejpam-5187	55	38	met	meet	VERB
ejpam-5187	55	39	given	give	VERB
ejpam-5187	55	40	a	a	DET
ejpam-5187	55	41	point	point	NOUN
ejpam-5187	55	42	z	z	NOUN
ejpam-5187	55	43	∈	∈	PROPN
ejpam-5187	55	44	c	c	PROPN
ejpam-5187	55	45	and	and	CCONJ
ejpam-5187	55	46	two	two	NUM
ejpam-5187	55	47	sequences	sequence	NOUN
ejpam-5187	55	48	{	{	PUNCT
ejpam-5187	55	49	ψn	ψn	X
ejpam-5187	55	50	}	}	PUNCT
ejpam-5187	55	51	and	and	CCONJ
ejpam-5187	55	52	{	{	PUNCT
ejpam-5187	55	53	vn	vn	NOUN
ejpam-5187	55	54	}	}	PUNCT
ejpam-5187	55	55	in	in	ADP
ejpam-5187	55	56	(	(	PUNCT
ejpam-5187	55	57	0	0	NUM
ejpam-5187	55	58	,	,	PUNCT
ejpam-5187	55	59	1	1	NUM
ejpam-5187	55	60	):	):	PUNCT
ejpam-5187	55	61	(	(	PUNCT
ejpam-5187	55	62	d1	d1	NOUN
ejpam-5187	55	63	)	)	PUNCT
ejpam-5187	55	64	∑	∑	PUNCT
ejpam-5187	55	65	vn	vn	NOUN
ejpam-5187	55	66	=	=	SYM
ejpam-5187	55	67	∞	∞	PROPN
ejpam-5187	55	68	and	and	CCONJ
ejpam-5187	55	69	lim	lim	PROPN
ejpam-5187	55	70	vn	vn	PROPN
ejpam-5187	55	71	=	=	PROPN
ejpam-5187	55	72	0	0	PROPN
ejpam-5187	55	73	;	;	PUNCT
ejpam-5187	56	1	(	(	PUNCT
ejpam-5187	56	2	d2	d2	PROPN
ejpam-5187	56	3	)	)	PUNCT
ejpam-5187	56	4	lim	lim	PROPN
ejpam-5187	56	5	δn	δn	PROPN
ejpam-5187	56	6	vn	vn	INTJ
ejpam-5187	56	7	∥an	∥an	PROPN
ejpam-5187	57	1	−	−	PROPN
ejpam-5187	58	1	an−1∥	an−1∥	NOUN
ejpam-5187	58	2	=	=	PUNCT
ejpam-5187	58	3	0	0	X
ejpam-5187	58	4	.	.	PUNCT
ejpam-5187	58	5	b.	b.	PROPN
ejpam-5187	58	6	g.	g.	PROPN
ejpam-5187	58	7	akuchu	akuchu	PROPN
ejpam-5187	58	8	et	et	PROPN
ejpam-5187	58	9	al	al	PROPN
ejpam-5187	58	10	.	.	PUNCT
ejpam-5187	58	11	/	/	SYM
ejpam-5187	58	12	eur	eur	PROPN
ejpam-5187	58	13	.	.	PUNCT
ejpam-5187	59	1	j.	j.	PROPN
ejpam-5187	59	2	pure	pure	PROPN
ejpam-5187	59	3	appl	appl	PROPN
ejpam-5187	59	4	.	.	PROPN
ejpam-5187	59	5	math	math	PROPN
ejpam-5187	59	6	,	,	PUNCT
ejpam-5187	59	7	17	17	NUM
ejpam-5187	59	8	(	(	PUNCT
ejpam-5187	59	9	3	3	NUM
ejpam-5187	59	10	)	)	PUNCT
ejpam-5187	59	11	(	(	PUNCT
ejpam-5187	59	12	2024	2024	NUM
ejpam-5187	59	13	)	)	PUNCT
ejpam-5187	59	14	,	,	PUNCT
ejpam-5187	59	15	1602	1602	NUM
ejpam-5187	59	16	-	-	SYM
ejpam-5187	59	17	1617	1617	NUM
ejpam-5187	59	18	1605	1605	NUM
ejpam-5187	59	19	assume	assume	VERB
ejpam-5187	59	20	that	that	SCONJ
ejpam-5187	59	21	a−1	a−1	PROPN
ejpam-5187	59	22	,	,	PUNCT
ejpam-5187	59	23	a0	a0	PROPN
ejpam-5187	59	24	∈	∈	PROPN
ejpam-5187	59	25	c	c	PROPN
ejpam-5187	59	26	are	be	AUX
ejpam-5187	59	27	arbitrary	arbitrary	ADJ
ejpam-5187	59	28	.	.	PUNCT
ejpam-5187	60	1	use	use	VERB
ejpam-5187	60	2	the	the	DET
ejpam-5187	60	3	following	follow	VERB
ejpam-5187	60	4	algorithm	algorithm	NOUN
ejpam-5187	60	5	to	to	PART
ejpam-5187	60	6	define	define	VERB
ejpam-5187	60	7	a	a	DET
ejpam-5187	60	8	sequence	sequence	NOUN
ejpam-5187	60	9	{	{	PUNCT
ejpam-5187	60	10	an	an	NOUN
ejpam-5187	60	11	}	}	PUNCT
ejpam-5187	60	12	:	:	PUNCT
ejpam-5187	60	13			PUNCT
ejpam-5187	60	14	wn	wn	X
ejpam-5187	60	15	=	=	PUNCT
ejpam-5187	60	16	an	an	DET
ejpam-5187	60	17	+	+	ADJ
ejpam-5187	60	18	δn(an	δn(an	NOUN
ejpam-5187	60	19	−	−	NOUN
ejpam-5187	60	20	an−1	an−1	ADJ
ejpam-5187	60	21	)	)	PUNCT
ejpam-5187	60	22	,	,	PUNCT
ejpam-5187	61	1	bn	bn	NOUN
ejpam-5187	61	2	=	=	PUNCT
ejpam-5187	61	3	ψnwn	ψnwn	ADJ
ejpam-5187	61	4	+	+	CCONJ
ejpam-5187	61	5	(	(	PUNCT
ejpam-5187	61	6	1−	1−	NUM
ejpam-5187	61	7	ψn)t	ψn)t	NUM
ejpam-5187	61	8	wn	wn	PROPN
ejpam-5187	61	9	an+1	an+1	NOUN
ejpam-5187	61	10	=	=	NOUN
ejpam-5187	61	11	vnz	vnz	NOUN
ejpam-5187	61	12	+	+	CCONJ
ejpam-5187	61	13	(	(	PUNCT
ejpam-5187	61	14	1−	1−	NUM
ejpam-5187	61	15	vn)bn	vn)bn	PROPN
ejpam-5187	61	16	,	,	PUNCT
ejpam-5187	61	17	n	n	PRON
ejpam-5187	61	18	≥	≥	NOUN
ejpam-5187	61	19	0	0	NUM
ejpam-5187	61	20	.	.	PUNCT
ejpam-5187	62	1	the	the	DET
ejpam-5187	62	2	generated	generate	VERB
ejpam-5187	62	3	iterative	iterative	NOUN
ejpam-5187	62	4	sequence	sequence	NOUN
ejpam-5187	62	5	{	{	PUNCT
ejpam-5187	62	6	an	an	NOUN
ejpam-5187	62	7	}	}	PUNCT
ejpam-5187	62	8	then	then	ADV
ejpam-5187	62	9	strongly	strongly	ADV
ejpam-5187	62	10	converges	converge	VERB
ejpam-5187	62	11	to	to	ADP
ejpam-5187	62	12	a∗	a∗	PROPN
ejpam-5187	62	13	=	=	SYM
ejpam-5187	62	14	pf	pf	PROPN
ejpam-5187	62	15	(	(	PUNCT
ejpam-5187	62	16	t	t	PROPN
ejpam-5187	62	17	)	)	PUNCT
ejpam-5187	62	18	z.	z.	PROPN
ejpam-5187	62	19	theorem	theorem	VERB
ejpam-5187	62	20	2	2	NUM
ejpam-5187	62	21	.	.	PUNCT
ejpam-5187	63	1	[	[	X
ejpam-5187	63	2	25	25	NUM
ejpam-5187	63	3	]	]	PUNCT
ejpam-5187	63	4	let	let	VERB
ejpam-5187	63	5	t	t	NOUN
ejpam-5187	63	6	:	:	PUNCT
ejpam-5187	63	7	c	c	X
ejpam-5187	63	8	→	→	PUNCT
ejpam-5187	63	9	c	c	X
ejpam-5187	63	10	be	be	AUX
ejpam-5187	63	11	a	a	DET
ejpam-5187	63	12	nonexpansive	nonexpansive	ADJ
ejpam-5187	63	13	mapping	mapping	NOUN
ejpam-5187	63	14	with	with	ADP
ejpam-5187	63	15	f	f	PROPN
ejpam-5187	63	16	(	(	PUNCT
ejpam-5187	63	17	t	t	PROPN
ejpam-5187	63	18	)	)	PUNCT
ejpam-5187	63	19	̸=	̸=	PROPN
ejpam-5187	63	20	∅.	∅.	ADV
ejpam-5187	63	21	assume	assume	VERB
ejpam-5187	63	22	that	that	SCONJ
ejpam-5187	63	23	c	c	PROPN
ejpam-5187	63	24	is	be	AUX
ejpam-5187	63	25	a	a	DET
ejpam-5187	63	26	nonempty	nonempty	ADV
ejpam-5187	63	27	closed	close	VERB
ejpam-5187	63	28	convex	convex	NOUN
ejpam-5187	63	29	subset	subset	NOUN
ejpam-5187	63	30	of	of	ADP
ejpam-5187	63	31	a	a	DET
ejpam-5187	63	32	real	real	ADJ
ejpam-5187	63	33	hilbert	hilbert	NOUN
ejpam-5187	63	34	space	space	NOUN
ejpam-5187	63	35	h.	h.	PROPN
ejpam-5187	63	36	define	define	VERB
ejpam-5187	63	37	a	a	DET
ejpam-5187	63	38	ρ	ρ	NUM
ejpam-5187	63	39	-	-	PUNCT
ejpam-5187	63	40	contraction	contraction	NOUN
ejpam-5187	63	41	h	h	NOUN
ejpam-5187	63	42	:	:	PUNCT
ejpam-5187	63	43	c	c	X
ejpam-5187	63	44	→	→	SYM
ejpam-5187	63	45	c	c	NOUN
ejpam-5187	63	46	such	such	ADJ
ejpam-5187	63	47	that	that	DET
ejpam-5187	63	48	∥h(a	∥h(a	NOUN
ejpam-5187	63	49	)	)	PUNCT
ejpam-5187	63	50	−	−	NOUN
ejpam-5187	63	51	h(b)∥	h(b)∥	VERB
ejpam-5187	63	52	≤	≤	ADJ
ejpam-5187	63	53	ρ∥a	ρ∥a	NOUN
ejpam-5187	64	1	−	−	PROPN
ejpam-5187	64	2	b∥	b∥	NOUN
ejpam-5187	64	3	,	,	PUNCT
ejpam-5187	64	4	∀a	∀a	NUM
ejpam-5187	64	5	,	,	PUNCT
ejpam-5187	64	6	b	b	PROPN
ejpam-5187	64	7	∈	∈	PROPN
ejpam-5187	64	8	c.	c.	NOUN
ejpam-5187	64	9	given	give	VERB
ejpam-5187	64	10	two	two	NUM
ejpam-5187	64	11	sequences	sequence	NOUN
ejpam-5187	64	12	in	in	ADP
ejpam-5187	64	13	(	(	PUNCT
ejpam-5187	64	14	0	0	NUM
ejpam-5187	64	15	,	,	PUNCT
ejpam-5187	64	16	1	1	NUM
ejpam-5187	64	17	)	)	PUNCT
ejpam-5187	64	18	,	,	PUNCT
ejpam-5187	64	19	{	{	PUNCT
ejpam-5187	64	20	ψn	ψn	X
ejpam-5187	64	21	}	}	PUNCT
ejpam-5187	64	22	and	and	CCONJ
ejpam-5187	64	23	{	{	PUNCT
ejpam-5187	64	24	vn	vn	NOUN
ejpam-5187	64	25	}	}	PUNCT
ejpam-5187	64	26	,	,	PUNCT
ejpam-5187	64	27	the	the	DET
ejpam-5187	64	28	following	follow	VERB
ejpam-5187	64	29	conditions	condition	NOUN
ejpam-5187	64	30	hold	hold	VERB
ejpam-5187	64	31	:	:	PUNCT
ejpam-5187	64	32	(	(	PUNCT
ejpam-5187	64	33	d1	d1	NOUN
ejpam-5187	64	34	)	)	PUNCT
ejpam-5187	64	35	∑	∑	PUNCT
ejpam-5187	64	36	vn	vn	NOUN
ejpam-5187	64	37	=	=	SYM
ejpam-5187	64	38	∞	∞	PROPN
ejpam-5187	64	39	and	and	CCONJ
ejpam-5187	64	40	lim	lim	PROPN
ejpam-5187	64	41	vn	vn	PROPN
ejpam-5187	64	42	=	=	PROPN
ejpam-5187	64	43	0	0	PROPN
ejpam-5187	64	44	;	;	PUNCT
ejpam-5187	64	45	(	(	PUNCT
ejpam-5187	65	1	d2	d2	PROPN
ejpam-5187	65	2	)	)	PUNCT
ejpam-5187	65	3	lim	lim	PROPN
ejpam-5187	65	4	δn	δn	PROPN
ejpam-5187	65	5	vn	vn	INTJ
ejpam-5187	65	6	∥an	∥an	PROPN
ejpam-5187	66	1	−	−	PROPN
ejpam-5187	67	1	an−1∥	an−1∥	NOUN
ejpam-5187	67	2	=	=	PUNCT
ejpam-5187	67	3	0	0	X
ejpam-5187	67	4	.	.	PUNCT
ejpam-5187	67	5	assume	assume	VERB
ejpam-5187	67	6	that	that	SCONJ
ejpam-5187	67	7	a−1	a−1	PROPN
ejpam-5187	67	8	,	,	PUNCT
ejpam-5187	67	9	a0	a0	PROPN
ejpam-5187	67	10	∈	∈	PROPN
ejpam-5187	67	11	c	c	PROPN
ejpam-5187	67	12	are	be	AUX
ejpam-5187	67	13	arbitrary	arbitrary	ADJ
ejpam-5187	67	14	.	.	PUNCT
ejpam-5187	68	1	generate	generate	VERB
ejpam-5187	68	2	a	a	DET
ejpam-5187	68	3	sequence	sequence	NOUN
ejpam-5187	68	4	{	{	PUNCT
ejpam-5187	68	5	an	an	PRON
ejpam-5187	68	6	}	}	PUNCT
ejpam-5187	68	7	using	use	VERB
ejpam-5187	68	8	the	the	DET
ejpam-5187	68	9	procedure	procedure	NOUN
ejpam-5187	68	10	below	below	ADV
ejpam-5187	68	11	:	:	PUNCT
ejpam-5187	68	12			PUNCT
ejpam-5187	68	13	wn	wn	X
ejpam-5187	68	14	=	=	PUNCT
ejpam-5187	68	15	an	an	DET
ejpam-5187	68	16	+	+	ADJ
ejpam-5187	68	17	δn(an	δn(an	NOUN
ejpam-5187	68	18	−	−	NOUN
ejpam-5187	68	19	an−1	an−1	ADJ
ejpam-5187	68	20	)	)	PUNCT
ejpam-5187	68	21	,	,	PUNCT
ejpam-5187	68	22	bn	bn	NOUN
ejpam-5187	68	23	=	=	PUNCT
ejpam-5187	68	24	ψnwn	ψnwn	ADJ
ejpam-5187	69	1	+	+	CCONJ
ejpam-5187	69	2	(	(	PUNCT
ejpam-5187	69	3	1−	1−	NUM
ejpam-5187	69	4	ψn)t	ψn)t	NUM
ejpam-5187	69	5	wn	wn	PROPN
ejpam-5187	69	6	an+1	an+1	NOUN
ejpam-5187	69	7	=	=	SYM
ejpam-5187	69	8	vnh(an	vnh(an	NOUN
ejpam-5187	69	9	)	)	PUNCT
ejpam-5187	70	1	+	+	CCONJ
ejpam-5187	70	2	(	(	PUNCT
ejpam-5187	70	3	1−	1−	NUM
ejpam-5187	70	4	vn)bn	vn)bn	PROPN
ejpam-5187	70	5	,	,	PUNCT
ejpam-5187	70	6	n	n	PRON
ejpam-5187	70	7	≥	≥	NOUN
ejpam-5187	70	8	0	0	NUM
ejpam-5187	70	9	.	.	PUNCT
ejpam-5187	71	1	the	the	DET
ejpam-5187	71	2	resultant	resultant	NOUN
ejpam-5187	71	3	iterative	iterative	NOUN
ejpam-5187	71	4	sequence	sequence	NOUN
ejpam-5187	71	5	{	{	PUNCT
ejpam-5187	71	6	an	an	NOUN
ejpam-5187	71	7	}	}	PUNCT
ejpam-5187	71	8	then	then	ADV
ejpam-5187	71	9	converges	converge	VERB
ejpam-5187	71	10	strongly	strongly	ADV
ejpam-5187	71	11	to	to	ADP
ejpam-5187	71	12	a∗	a∗	PROPN
ejpam-5187	71	13	=	=	SYM
ejpam-5187	71	14	pf	pf	PROPN
ejpam-5187	71	15	(	(	PUNCT
ejpam-5187	71	16	t	t	PROPN
ejpam-5187	71	17	)	)	PUNCT
ejpam-5187	71	18	h(a	h(a	PROPN
ejpam-5187	71	19	∗	∗	NOUN
ejpam-5187	71	20	)	)	PUNCT
ejpam-5187	71	21	.	.	PUNCT
ejpam-5187	72	1	observation	observation	NOUN
ejpam-5187	72	2	1	1	NUM
ejpam-5187	72	3	:	:	PUNCT
ejpam-5187	72	4	given	give	VERB
ejpam-5187	72	5	condition	condition	NOUN
ejpam-5187	72	6	(	(	PUNCT
ejpam-5187	72	7	d1	d1	NOUN
ejpam-5187	72	8	)	)	PUNCT
ejpam-5187	72	9	,	,	PUNCT
ejpam-5187	72	10	condition	condition	NOUN
ejpam-5187	72	11	(	(	PUNCT
ejpam-5187	72	12	d2	d2	PROPN
ejpam-5187	72	13	)	)	PUNCT
ejpam-5187	72	14	sug	sug	NOUN
ejpam-5187	72	15	gests	gest	VERB
ejpam-5187	72	16	that	that	SCONJ
ejpam-5187	72	17	δn∥an	δn∥an	NOUN
ejpam-5187	72	18	−	−	PROPN
ejpam-5187	72	19	an−1∥	an−1∥	PROPN
ejpam-5187	72	20	approaches	approach	VERB
ejpam-5187	72	21	zero	zero	NUM
ejpam-5187	72	22	at	at	ADP
ejpam-5187	72	23	a	a	DET
ejpam-5187	72	24	quicker	quick	ADJ
ejpam-5187	72	25	rate	rate	NOUN
ejpam-5187	72	26	than	than	ADP
ejpam-5187	72	27	vn	vn	PROPN
ejpam-5187	72	28	.	.	PUNCT
ejpam-5187	73	1	this	this	PRON
ejpam-5187	73	2	suggests	suggest	VERB
ejpam-5187	73	3	that	that	SCONJ
ejpam-5187	73	4	lim	lim	PROPN
ejpam-5187	73	5	δn∥an	δn∥an	PROPN
ejpam-5187	73	6	−	−	PROPN
ejpam-5187	73	7	an−1∥	an−1∥	VERB
ejpam-5187	73	8	=	=	PUNCT
ejpam-5187	74	1	0	0	X
ejpam-5187	74	2	.	.	PUNCT
ejpam-5187	75	1	this	this	DET
ejpam-5187	75	2	further	far	ADV
ejpam-5187	75	3	suggests	suggest	VERB
ejpam-5187	75	4	that	that	SCONJ
ejpam-5187	75	5	lim	lim	PROPN
ejpam-5187	75	6	δn∥an	δn∥an	PROPN
ejpam-5187	75	7	−	−	PROPN
ejpam-5187	75	8	an−1∥2	an−1∥2	PROPN
ejpam-5187	76	1	=	=	SYM
ejpam-5187	77	1	(	(	PUNCT
ejpam-5187	77	2	lim	lim	PROPN
ejpam-5187	77	3	δn∥an	δn∥an	PROPN
ejpam-5187	77	4	−	−	PROPN
ejpam-5187	77	5	an−1∥)(lim	an−1∥)(lim	PROPN
ejpam-5187	77	6	∥an	∥an	PRON
ejpam-5187	78	1	−	−	PROPN
ejpam-5187	78	2	an−1∥	an−1∥	NOUN
ejpam-5187	78	3	)	)	PUNCT
ejpam-5187	79	1	=	=	SYM
ejpam-5187	79	2	0(lim	0(lim	NOUN
ejpam-5187	80	1	∥an	∥an	PROPN
ejpam-5187	81	1	−	−	PROPN
ejpam-5187	81	2	an−1∥	an−1∥	NOUN
ejpam-5187	81	3	)	)	PUNCT
ejpam-5187	82	1	=	=	PUNCT
ejpam-5187	82	2	0	0	X
ejpam-5187	82	3	.	.	PUNCT
ejpam-5187	83	1	therefore	therefore	ADV
ejpam-5187	83	2	,	,	PUNCT
ejpam-5187	83	3	δn∥an	δn∥an	PROPN
ejpam-5187	83	4	−	−	PROPN
ejpam-5187	83	5	an−1∥2	an−1∥2	PROPN
ejpam-5187	83	6	is	be	AUX
ejpam-5187	83	7	bounded	bound	VERB
ejpam-5187	83	8	.	.	PUNCT
ejpam-5187	84	1	consequently	consequently	ADV
ejpam-5187	84	2	,	,	PUNCT
ejpam-5187	84	3	it	it	PRON
ejpam-5187	84	4	is	be	AUX
ejpam-5187	84	5	weaker	weak	ADJ
ejpam-5187	84	6	to	to	PART
ejpam-5187	84	7	impose	impose	VERB
ejpam-5187	84	8	a	a	DET
ejpam-5187	84	9	boundedness	boundedness	NOUN
ejpam-5187	84	10	constraint	constraint	NOUN
ejpam-5187	84	11	on	on	ADP
ejpam-5187	84	12	δn∥an	δn∥an	PROPN
ejpam-5187	84	13	−	−	PROPN
ejpam-5187	84	14	an−1∥2	an−1∥2	PROPN
ejpam-5187	84	15	.	.	PUNCT
ejpam-5187	85	1	this	this	PRON
ejpam-5187	85	2	will	will	AUX
ejpam-5187	85	3	be	be	AUX
ejpam-5187	85	4	helpful	helpful	ADJ
ejpam-5187	85	5	for	for	ADP
ejpam-5187	85	6	our	our	PRON
ejpam-5187	85	7	outcomes	outcome	NOUN
ejpam-5187	85	8	in	in	ADP
ejpam-5187	85	9	the	the	DET
ejpam-5187	85	10	follow	follow	NOUN
ejpam-5187	85	11	-	-	PUNCT
ejpam-5187	85	12	up	up	NOUN
ejpam-5187	85	13	.	.	PUNCT
ejpam-5187	86	1	observation	observation	NOUN
ejpam-5187	86	2	2	2	NUM
ejpam-5187	86	3	:	:	PUNCT
ejpam-5187	86	4	it	it	PRON
ejpam-5187	86	5	is	be	AUX
ejpam-5187	86	6	possible	possible	ADJ
ejpam-5187	86	7	that	that	SCONJ
ejpam-5187	86	8	{	{	PUNCT
ejpam-5187	86	9	wn	wn	NOUN
ejpam-5187	86	10	}	}	PUNCT
ejpam-5187	86	11	will	will	AUX
ejpam-5187	86	12	not	not	PART
ejpam-5187	86	13	belong	belong	VERB
ejpam-5187	86	14	in	in	ADP
ejpam-5187	86	15	c	c	PROPN
ejpam-5187	86	16	since	since	SCONJ
ejpam-5187	86	17	c	c	PROPN
ejpam-5187	86	18	is	be	AUX
ejpam-5187	86	19	a	a	DET
ejpam-5187	86	20	convex	convex	NOUN
ejpam-5187	86	21	subset	subset	NOUN
ejpam-5187	86	22	.	.	PUNCT
ejpam-5187	87	1	this	this	PRON
ejpam-5187	87	2	suggests	suggest	VERB
ejpam-5187	87	3	that	that	SCONJ
ejpam-5187	87	4	the	the	DET
ejpam-5187	87	5	schemes	scheme	NOUN
ejpam-5187	87	6	in	in	ADP
ejpam-5187	87	7	[	[	X
ejpam-5187	87	8	25	25	NUM
ejpam-5187	87	9	]	]	PUNCT
ejpam-5187	87	10	need	need	VERB
ejpam-5187	87	11	precise	precise	ADJ
ejpam-5187	87	12	definitions	definition	NOUN
ejpam-5187	87	13	.	.	PUNCT
ejpam-5187	88	1	a	a	DET
ejpam-5187	88	2	well	well	ADV
ejpam-5187	88	3	-	-	PUNCT
ejpam-5187	88	4	defined	define	VERB
ejpam-5187	88	5	scheme	scheme	NOUN
ejpam-5187	88	6	can	can	AUX
ejpam-5187	88	7	only	only	ADV
ejpam-5187	88	8	exist	exist	VERB
ejpam-5187	88	9	if	if	SCONJ
ejpam-5187	88	10	c	c	NOUN
ejpam-5187	88	11	is	be	AUX
ejpam-5187	88	12	either	either	CCONJ
ejpam-5187	88	13	the	the	DET
ejpam-5187	88	14	entire	entire	ADJ
ejpam-5187	88	15	space	space	NOUN
ejpam-5187	88	16	or	or	CCONJ
ejpam-5187	88	17	an	an	DET
ejpam-5187	88	18	affine	affine	NOUN
ejpam-5187	88	19	subset	subset	NOUN
ejpam-5187	88	20	of	of	ADP
ejpam-5187	88	21	it	it	PRON
ejpam-5187	88	22	.	.	PUNCT
ejpam-5187	89	1	an	an	DET
ejpam-5187	89	2	inertial	inertial	NOUN
ejpam-5187	89	3	accelerated	accelerate	VERB
ejpam-5187	89	4	algorithm	algorithm	NOUN
ejpam-5187	89	5	for	for	ADP
ejpam-5187	89	6	obtaining	obtain	VERB
ejpam-5187	89	7	a	a	DET
ejpam-5187	89	8	fixed	fix	VERB
ejpam-5187	89	9	point	point	NOUN
ejpam-5187	89	10	in	in	ADP
ejpam-5187	89	11	the	the	DET
ejpam-5187	89	12	fixed	fix	VERB
ejpam-5187	89	13	points	point	NOUN
ejpam-5187	89	14	set	set	NOUN
ejpam-5187	89	15	of	of	ADP
ejpam-5187	89	16	an	an	DET
ejpam-5187	89	17	asymptotically	asymptotically	ADV
ejpam-5187	89	18	nonexpansive	nonexpansive	ADJ
ejpam-5187	89	19	mapping	mapping	NOUN
ejpam-5187	89	20	in	in	ADP
ejpam-5187	89	21	a	a	DET
ejpam-5187	89	22	real	real	ADV
ejpam-5187	89	23	uniformly	uniformly	ADV
ejpam-5187	89	24	convex	convex	NOUN
ejpam-5187	89	25	banach	banach	NOUN
ejpam-5187	89	26	space	space	NOUN
ejpam-5187	89	27	that	that	PRON
ejpam-5187	89	28	satisfies	satisfy	VERB
ejpam-5187	89	29	opial	opial	ADJ
ejpam-5187	89	30	criteria	criterion	NOUN
ejpam-5187	89	31	was	be	AUX
ejpam-5187	89	32	recently	recently	ADV
ejpam-5187	89	33	explored	explore	VERB
ejpam-5187	89	34	by	by	ADP
ejpam-5187	89	35	murtala	murtala	NOUN
ejpam-5187	89	36	et	et	PROPN
ejpam-5187	89	37	al	al	PROPN
ejpam-5187	89	38	.	.	PUNCT
ejpam-5187	90	1	(	(	PUNCT
ejpam-5187	90	2	see	see	VERB
ejpam-5187	90	3	[	[	X
ejpam-5187	90	4	11	11	NUM
ejpam-5187	90	5	]	]	NUM
ejpam-5187	90	6	)	)	PUNCT
ejpam-5187	90	7	.	.	PUNCT
ejpam-5187	91	1	more	more	ADV
ejpam-5187	91	2	specifically	specifically	ADV
ejpam-5187	91	3	,	,	PUNCT
ejpam-5187	91	4	the	the	DET
ejpam-5187	91	5	authors	author	NOUN
ejpam-5187	91	6	suggested	suggest	VERB
ejpam-5187	91	7	the	the	DET
ejpam-5187	91	8	following	follow	VERB
ejpam-5187	91	9	outcomes	outcome	NOUN
ejpam-5187	91	10	:	:	PUNCT
ejpam-5187	91	11	assumption	assumption	NOUN
ejpam-5187	91	12	1	1	NUM
ejpam-5187	91	13	.	.	PUNCT
ejpam-5187	92	1	[	[	X
ejpam-5187	92	2	11	11	NUM
ejpam-5187	92	3	]	]	PUNCT
ejpam-5187	92	4	let	let	VERB
ejpam-5187	92	5	x	x	PRON
ejpam-5187	92	6	be	be	AUX
ejpam-5187	92	7	a	a	DET
ejpam-5187	92	8	real	real	ADV
ejpam-5187	92	9	uniformly	uniformly	ADV
ejpam-5187	92	10	convex	convex	ADJ
ejpam-5187	92	11	banach	banach	NOUN
ejpam-5187	92	12	space	space	NOUN
ejpam-5187	92	13	.	.	PUNCT
ejpam-5187	93	1	(	(	PUNCT
ejpam-5187	93	2	i	i	NOUN
ejpam-5187	93	3	)	)	PUNCT
ejpam-5187	93	4	choose	choose	VERB
ejpam-5187	93	5	sequences	sequence	NOUN
ejpam-5187	93	6	{	{	PUNCT
ejpam-5187	93	7	ξn	ξn	PROPN
ejpam-5187	93	8	}	}	PUNCT
ejpam-5187	93	9	⊂	⊂	PROPN
ejpam-5187	93	10	(	(	PUNCT
ejpam-5187	93	11	0	0	NUM
ejpam-5187	93	12	,	,	PUNCT
ejpam-5187	93	13	1	1	NUM
ejpam-5187	93	14	)	)	PUNCT
ejpam-5187	93	15	,	,	PUNCT
ejpam-5187	93	16	{	{	PUNCT
ejpam-5187	93	17	βn	βn	NOUN
ejpam-5187	93	18	}	}	PUNCT
ejpam-5187	93	19	,	,	PUNCT
ejpam-5187	93	20	{	{	PUNCT
ejpam-5187	93	21	δn	δn	NOUN
ejpam-5187	93	22	}	}	PUNCT
ejpam-5187	93	23	⊂	⊂	PROPN
ejpam-5187	94	1	[	[	X
ejpam-5187	94	2	0,+∞	0,+∞	NUM
ejpam-5187	94	3	)	)	PUNCT
ejpam-5187	94	4	and	and	CCONJ
ejpam-5187	94	5	∑∞	∑∞	NOUN
ejpam-5187	94	6	n=1	n=1	PUNCT
ejpam-5187	94	7	δn	δn	VERB
ejpam-5187	94	8	<	<	X
ejpam-5187	94	9	+	+	NOUN
ejpam-5187	94	10	∞	∞	PROPN
ejpam-5187	94	11	with	with	ADP
ejpam-5187	94	12	δn	δn	NOUN
ejpam-5187	94	13	=	=	SYM
ejpam-5187	94	14	o(βn	o(βn	NUM
ejpam-5187	94	15	)	)	PUNCT
ejpam-5187	94	16	which	which	PRON
ejpam-5187	94	17	means	mean	VERB
ejpam-5187	94	18	limn→∞	limn→∞	PROPN
ejpam-5187	94	19	δn	δn	ADJ
ejpam-5187	94	20	βn	βn	NOUN
ejpam-5187	94	21	=	=	SYM
ejpam-5187	94	22	0	0	PROPN
ejpam-5187	94	23	.	.	PUNCT
ejpam-5187	95	1	(	(	PUNCT
ejpam-5187	95	2	ii	ii	NOUN
ejpam-5187	95	3	)	)	PUNCT
ejpam-5187	95	4	let	let	VERB
ejpam-5187	95	5	a0	a0	NOUN
ejpam-5187	95	6	,	,	PUNCT
ejpam-5187	95	7	a1	a1	NOUN
ejpam-5187	95	8	∈	∈	PROPN
ejpam-5187	95	9	x	x	PUNCT
ejpam-5187	95	10	be	be	AUX
ejpam-5187	95	11	arbitrary	arbitrary	ADJ
ejpam-5187	95	12	points	point	NOUN
ejpam-5187	95	13	,	,	PUNCT
ejpam-5187	95	14	for	for	SCONJ
ejpam-5187	95	15	the	the	DET
ejpam-5187	95	16	iterates	iterate	NOUN
ejpam-5187	95	17	an−1	an−1	ADJ
ejpam-5187	95	18	and	and	CCONJ
ejpam-5187	95	19	an	an	PRON
ejpam-5187	95	20	for	for	ADP
ejpam-5187	95	21	each	each	DET
ejpam-5187	95	22	n	n	PRON
ejpam-5187	95	23	≥	≥	NOUN
ejpam-5187	95	24	1	1	NUM
ejpam-5187	95	25	,	,	PUNCT
ejpam-5187	95	26	choose	choose	VERB
ejpam-5187	95	27	θn	θn	ADP
ejpam-5187	95	28	such	such	ADJ
ejpam-5187	95	29	that	that	SCONJ
ejpam-5187	95	30	0	0	NUM
ejpam-5187	95	31	≤	≤	NUM
ejpam-5187	95	32	θn	θn	ADP
ejpam-5187	95	33	≤	≤	NOUN
ejpam-5187	95	34	θ̄n	θ̄n	NUM
ejpam-5187	95	35	where	where	SCONJ
ejpam-5187	95	36	,	,	PUNCT
ejpam-5187	95	37	for	for	ADP
ejpam-5187	95	38	η	η	PROPN
ejpam-5187	95	39	≥	≥	PROPN
ejpam-5187	95	40	3	3	NUM
ejpam-5187	95	41	θ̄n	θ̄n	NUM
ejpam-5187	95	42	:	:	PUNCT
ejpam-5187	95	43	=	=	SYM
ejpam-5187	95	44			NUM
ejpam-5187	95	45	min	min	ADJ
ejpam-5187	95	46	{	{	PUNCT
ejpam-5187	95	47	n−1	n−1	PROPN
ejpam-5187	95	48	n+η−1	n+η−1	NOUN
ejpam-5187	95	49	,	,	PUNCT
ejpam-5187	95	50	δn	δn	PROPN
ejpam-5187	95	51	∥an−an−1∥	∥an−an−1∥	NOUN
ejpam-5187	95	52	}	}	PUNCT
ejpam-5187	95	53	,	,	PUNCT
ejpam-5187	95	54	if	if	SCONJ
ejpam-5187	95	55	an	an	DET
ejpam-5187	95	56	̸=	̸=	PROPN
ejpam-5187	95	57	an−1	an−1	PROPN
ejpam-5187	95	58	n−1	n−1	PROPN
ejpam-5187	95	59	n+η−1	n+η−1	NOUN
ejpam-5187	95	60	,	,	PUNCT
ejpam-5187	95	61	otherwise	otherwise	ADV
ejpam-5187	95	62	b.	b.	PROPN
ejpam-5187	95	63	g.	g.	PROPN
ejpam-5187	95	64	akuchu	akuchu	PROPN
ejpam-5187	95	65	et	et	PROPN
ejpam-5187	95	66	al	al	PROPN
ejpam-5187	95	67	.	.	PUNCT
ejpam-5187	95	68	/	/	SYM
ejpam-5187	95	69	eur	eur	PROPN
ejpam-5187	95	70	.	.	PUNCT
ejpam-5187	96	1	j.	j.	PROPN
ejpam-5187	96	2	pure	pure	PROPN
ejpam-5187	96	3	appl	appl	PROPN
ejpam-5187	96	4	.	.	PROPN
ejpam-5187	96	5	math	math	PROPN
ejpam-5187	96	6	,	,	PUNCT
ejpam-5187	96	7	17	17	NUM
ejpam-5187	96	8	(	(	PUNCT
ejpam-5187	96	9	3	3	NUM
ejpam-5187	96	10	)	)	PUNCT
ejpam-5187	96	11	(	(	PUNCT
ejpam-5187	96	12	2024	2024	NUM
ejpam-5187	96	13	)	)	PUNCT
ejpam-5187	96	14	,	,	PUNCT
ejpam-5187	96	15	1602	1602	NUM
ejpam-5187	96	16	-	-	SYM
ejpam-5187	96	17	1617	1617	NUM
ejpam-5187	96	18	1606	1606	NUM
ejpam-5187	96	19	according	accord	VERB
ejpam-5187	96	20	to	to	ADP
ejpam-5187	96	21	the	the	DET
ejpam-5187	96	22	authors	author	NOUN
ejpam-5187	96	23	,	,	PUNCT
ejpam-5187	96	24	the	the	DET
ejpam-5187	96	25	extrapolation	extrapolation	NOUN
ejpam-5187	96	26	phase	phase	NOUN
ejpam-5187	96	27	described	describe	VERB
ejpam-5187	96	28	in	in	ADP
ejpam-5187	96	29	[	[	X
ejpam-5187	96	30	3	3	NUM
ejpam-5187	96	31	]	]	PUNCT
ejpam-5187	96	32	provides	provide	VERB
ejpam-5187	96	33	the	the	DET
ejpam-5187	96	34	concept	concept	NOUN
ejpam-5187	96	35	of	of	ADP
ejpam-5187	96	36	assumption	assumption	NOUN
ejpam-5187	96	37	1	1	NUM
ejpam-5187	96	38	.	.	PUNCT
ejpam-5187	97	1	along	along	ADP
ejpam-5187	97	2	with	with	ADP
ejpam-5187	97	3	it	it	PRON
ejpam-5187	97	4	,	,	PUNCT
ejpam-5187	97	5	the	the	DET
ejpam-5187	97	6	authors	author	NOUN
ejpam-5187	97	7	added	add	VERB
ejpam-5187	97	8	this	this	PRON
ejpam-5187	97	9	:	:	PUNCT
ejpam-5187	97	10	it	it	PRON
ejpam-5187	97	11	is	be	AUX
ejpam-5187	97	12	easy	easy	ADJ
ejpam-5187	97	13	to	to	PART
ejpam-5187	97	14	see	see	VERB
ejpam-5187	97	15	from	from	ADP
ejpam-5187	97	16	assumption	assumption	NOUN
ejpam-5187	97	17	1	1	NUM
ejpam-5187	97	18	that	that	SCONJ
ejpam-5187	97	19	for	for	ADP
ejpam-5187	97	20	each	each	DET
ejpam-5187	97	21	n	n	PRON
ejpam-5187	97	22	≥	≥	NOUN
ejpam-5187	97	23	1	1	NUM
ejpam-5187	97	24	,	,	PUNCT
ejpam-5187	97	25	we	we	PRON
ejpam-5187	97	26	have	have	VERB
ejpam-5187	97	27	θn∥an	θn∥an	PROPN
ejpam-5187	97	28	−	−	PROPN
ejpam-5187	97	29	an−1∥	an−1∥	PROPN
ejpam-5187	97	30	≤	≤	PROPN
ejpam-5187	97	31	δn	δn	NOUN
ejpam-5187	97	32	,	,	PUNCT
ejpam-5187	97	33	which	which	PRON
ejpam-5187	97	34	together	together	ADV
ejpam-5187	97	35	with	with	ADP
ejpam-5187	97	36	∑	∑	PUNCT
ejpam-5187	97	37	δn	δn	VERB
ejpam-5187	97	38	<	<	X
ejpam-5187	97	39	+	+	PROPN
ejpam-5187	97	40	∞	∞	NUM
ejpam-5187	97	41	and	and	CCONJ
ejpam-5187	97	42	limn→∞	limn→∞	PRON
ejpam-5187	97	43	δn	δn	ADJ
ejpam-5187	97	44	βn	βn	NOUN
ejpam-5187	97	45	=	=	SYM
ejpam-5187	97	46	0	0	NUM
ejpam-5187	97	47	,	,	PUNCT
ejpam-5187	97	48	we	we	PRON
ejpam-5187	97	49	obtain∑	obtain∑	VERB
ejpam-5187	97	50	θn∥an	θn∥an	PROPN
ejpam-5187	97	51	−	−	PROPN
ejpam-5187	98	1	an−1∥	an−1∥	PROPN
ejpam-5187	99	1	<	<	X
ejpam-5187	100	1	+	+	NOUN
ejpam-5187	100	2	∞	∞	PROPN
ejpam-5187	100	3	and	and	CCONJ
ejpam-5187	100	4	lim	lim	PROPN
ejpam-5187	100	5	n→∞	n→∞	NUM
ejpam-5187	101	1	θn	θn	INTJ
ejpam-5187	101	2	βn	βn	PROPN
ejpam-5187	101	3	∥an	∥an	PROPN
ejpam-5187	101	4	−	−	PROPN
ejpam-5187	102	1	an−1∥	an−1∥	PROPN
ejpam-5187	102	2	≤	≤	PROPN
ejpam-5187	102	3	lim	lim	PROPN
ejpam-5187	102	4	n→∞	n→∞	PRON
ejpam-5187	102	5	δn	δn	PROPN
ejpam-5187	102	6	βn	βn	NOUN
ejpam-5187	102	7	=	=	SYM
ejpam-5187	102	8	0	0	X
ejpam-5187	102	9	.	.	PUNCT
ejpam-5187	103	1	using	use	VERB
ejpam-5187	103	2	assumption	assumption	NOUN
ejpam-5187	103	3	1	1	NUM
ejpam-5187	103	4	,	,	PUNCT
ejpam-5187	103	5	the	the	DET
ejpam-5187	103	6	authors	author	NOUN
ejpam-5187	103	7	stated	state	VERB
ejpam-5187	103	8	and	and	CCONJ
ejpam-5187	103	9	proved	prove	VERB
ejpam-5187	103	10	the	the	DET
ejpam-5187	103	11	following	follow	VERB
ejpam-5187	103	12	theorem	theorem	NOUN
ejpam-5187	103	13	:	:	PUNCT
ejpam-5187	103	14	theorem	theorem	NOUN
ejpam-5187	103	15	3	3	NUM
ejpam-5187	103	16	.	.	PUNCT
ejpam-5187	104	1	[	[	X
ejpam-5187	104	2	11	11	NUM
ejpam-5187	104	3	]	]	PUNCT
ejpam-5187	104	4	let	let	VERB
ejpam-5187	104	5	x	x	PRON
ejpam-5187	104	6	be	be	AUX
ejpam-5187	104	7	a	a	DET
ejpam-5187	104	8	banach	banach	NOUN
ejpam-5187	104	9	space	space	NOUN
ejpam-5187	104	10	that	that	PRON
ejpam-5187	104	11	is	be	AUX
ejpam-5187	104	12	real	real	ADJ
ejpam-5187	104	13	and	and	CCONJ
ejpam-5187	104	14	uniformly	uniformly	ADV
ejpam-5187	104	15	convex	convex	NOUN
ejpam-5187	104	16	,	,	PUNCT
ejpam-5187	104	17	possessing	possess	VERB
ejpam-5187	104	18	opial	opial	NOUN
ejpam-5187	104	19	’s	’s	PART
ejpam-5187	104	20	property	property	NOUN
ejpam-5187	104	21	.	.	PUNCT
ejpam-5187	105	1	with	with	ADP
ejpam-5187	105	2	sequence	sequence	NOUN
ejpam-5187	105	3	{	{	PUNCT
ejpam-5187	105	4	κn	κn	NOUN
ejpam-5187	105	5	}	}	PUNCT
ejpam-5187	105	6	⊂	⊂	PROPN
ejpam-5187	106	1	[	[	X
ejpam-5187	106	2	0,∞	0,∞	NOUN
ejpam-5187	106	3	)	)	PUNCT
ejpam-5187	106	4	,	,	PUNCT
ejpam-5187	106	5	let	let	VERB
ejpam-5187	106	6	t	t	NOUN
ejpam-5187	106	7	:	:	PUNCT
ejpam-5187	106	8	x	x	X
ejpam-5187	106	9	→	→	PUNCT
ejpam-5187	106	10	x	x	PUNCT
ejpam-5187	106	11	be	be	AUX
ejpam-5187	106	12	an	an	DET
ejpam-5187	106	13	asymptotically	asymptotically	ADV
ejpam-5187	106	14	nonexpansive	nonexpansive	ADJ
ejpam-5187	106	15	mapping	mapping	NOUN
ejpam-5187	106	16	such	such	ADJ
ejpam-5187	106	17	that	that	DET
ejpam-5187	106	18	∑∞	∑∞	NOUN
ejpam-5187	106	19	n=0	n=0	PUNCT
ejpam-5187	106	20	κn	κn	ADP
ejpam-5187	106	21	<	<	X
ejpam-5187	106	22	∞	∞	PROPN
ejpam-5187	106	23	and	and	CCONJ
ejpam-5187	106	24	f	f	PROPN
ejpam-5187	106	25	(	(	PUNCT
ejpam-5187	106	26	t	t	PROPN
ejpam-5187	106	27	)	)	PUNCT
ejpam-5187	106	28	̸=	̸=	PROPN
ejpam-5187	106	29	∅.	∅.	ADV
ejpam-5187	106	30	let	let	VERB
ejpam-5187	106	31	{	{	PUNCT
ejpam-5187	106	32	an	an	PRON
ejpam-5187	106	33	}	}	PUNCT
ejpam-5187	106	34	be	be	AUX
ejpam-5187	106	35	the	the	DET
ejpam-5187	106	36	sequence	sequence	NOUN
ejpam-5187	106	37	that	that	PRON
ejpam-5187	106	38	is	be	AUX
ejpam-5187	106	39	produced	produce	VERB
ejpam-5187	106	40	in	in	ADP
ejpam-5187	106	41	this	this	DET
ejpam-5187	106	42	way:	way:	PROPN
ejpam-5187	106	43	a0	a0	NOUN
ejpam-5187	106	44	,	,	PUNCT
ejpam-5187	107	1	a1	a1	NOUN
ejpam-5187	107	2	∈	∈	PROPN
ejpam-5187	107	3	x	x	SYM
ejpam-5187	107	4	wn	wn	PROPN
ejpam-5187	107	5	=	=	PUNCT
ejpam-5187	107	6	an	an	PROPN
ejpam-5187	107	7	+	+	X
ejpam-5187	107	8	θn(an	θn(an	NOUN
ejpam-5187	107	9	−	−	NOUN
ejpam-5187	107	10	an−1	an−1	ADJ
ejpam-5187	107	11	)	)	PUNCT
ejpam-5187	107	12	,	,	PUNCT
ejpam-5187	107	13	dn+1	dn+1	PUNCT
ejpam-5187	107	14	=	=	SYM
ejpam-5187	107	15	1	1	NUM
ejpam-5187	107	16	λ(t	λ(t	NOUN
ejpam-5187	107	17	n(wn)−	n(wn)−	NOUN
ejpam-5187	107	18	wn	wn	PROPN
ejpam-5187	107	19	)	)	PUNCT
ejpam-5187	108	1	+	+	CCONJ
ejpam-5187	108	2	βndn	βndn	ADJ
ejpam-5187	108	3	,	,	PUNCT
ejpam-5187	108	4	bn	bn	NOUN
ejpam-5187	108	5	=	=	SYM
ejpam-5187	108	6	wn	wn	PROPN
ejpam-5187	108	7	+	+	SYM
ejpam-5187	108	8	λdn+1	λdn+1	PROPN
ejpam-5187	108	9	,	,	PUNCT
ejpam-5187	108	10	an+1	an+1	NOUN
ejpam-5187	108	11	=	=	SYM
ejpam-5187	108	12	µξnwn	µξnwn	ADJ
ejpam-5187	108	13	+	+	CCONJ
ejpam-5187	108	14	(	(	PUNCT
ejpam-5187	108	15	1−	1−	NUM
ejpam-5187	108	16	µξn)yn	µξn)yn	NOUN
ejpam-5187	108	17	,	,	PUNCT
ejpam-5187	108	18	n	n	PRON
ejpam-5187	108	19	≥	≥	NOUN
ejpam-5187	108	20	1	1	NUM
ejpam-5187	108	21	,	,	PUNCT
ejpam-5187	108	22	where	where	SCONJ
ejpam-5187	108	23	µ	µ	X
ejpam-5187	108	24	∈	∈	X
ejpam-5187	108	25	(	(	PUNCT
ejpam-5187	108	26	0	0	NUM
ejpam-5187	108	27	,	,	PUNCT
ejpam-5187	108	28	1	1	NUM
ejpam-5187	108	29	]	]	PUNCT
ejpam-5187	108	30	,	,	PUNCT
ejpam-5187	108	31	λ	λ	X
ejpam-5187	108	32	>	>	X
ejpam-5187	108	33	0	0	NUM
ejpam-5187	108	34	,	,	PUNCT
ejpam-5187	108	35	assuming	assume	VERB
ejpam-5187	108	36	that	that	SCONJ
ejpam-5187	108	37	assumption	assumption	NOUN
ejpam-5187	108	38	1	1	NUM
ejpam-5187	108	39	holds	hold	VERB
ejpam-5187	108	40	and	and	CCONJ
ejpam-5187	108	41	set	set	VERB
ejpam-5187	108	42	d1	d1	NOUN
ejpam-5187	108	43	=	=	SYM
ejpam-5187	108	44	1	1	NUM
ejpam-5187	108	45	λ(t	λ(t	NOUN
ejpam-5187	108	46	nw0	nw0	ADV
ejpam-5187	108	47	−	−	NOUN
ejpam-5187	108	48	w0	w0	NOUN
ejpam-5187	108	49	)	)	PUNCT
ejpam-5187	108	50	.	.	PUNCT
ejpam-5187	109	1	then	then	ADV
ejpam-5187	109	2	the	the	DET
ejpam-5187	109	3	sequence	sequence	NOUN
ejpam-5187	109	4	{	{	PUNCT
ejpam-5187	109	5	an	an	PRON
ejpam-5187	109	6	}	}	PUNCT
ejpam-5187	109	7	converges	converge	VERB
ejpam-5187	109	8	weakly	weakly	ADJ
ejpam-5187	109	9	to	to	ADP
ejpam-5187	109	10	a	a	DET
ejpam-5187	109	11	point	point	NOUN
ejpam-5187	109	12	a∗	a∗	PROPN
ejpam-5187	109	13	∈	∈	PROPN
ejpam-5187	109	14	f	f	X
ejpam-5187	109	15	(	(	PUNCT
ejpam-5187	109	16	t	t	PROPN
ejpam-5187	109	17	)	)	PUNCT
ejpam-5187	109	18	,	,	PUNCT
ejpam-5187	109	19	provided	provide	VERB
ejpam-5187	109	20	that	that	SCONJ
ejpam-5187	109	21	the	the	DET
ejpam-5187	109	22	following	follow	VERB
ejpam-5187	109	23	conditions	condition	NOUN
ejpam-5187	109	24	hold	hold	VERB
ejpam-5187	109	25	:	:	PUNCT
ejpam-5187	109	26	(	(	PUNCT
ejpam-5187	109	27	c1	c1	NOUN
ejpam-5187	109	28	)	)	PUNCT
ejpam-5187	109	29	∑∞	∑∞	NOUN
ejpam-5187	109	30	n=0	n=0	X
ejpam-5187	109	31	βn	βn	VERB
ejpam-5187	109	32	<	<	X
ejpam-5187	109	33	+	+	PROPN
ejpam-5187	109	34	∞	∞	PROPN
ejpam-5187	109	35	(	(	PUNCT
ejpam-5187	109	36	c2	c2	PROPN
ejpam-5187	109	37	)	)	PUNCT
ejpam-5187	109	38	lim	lim	PROPN
ejpam-5187	109	39	infn→∞	infn→∞	PROPN
ejpam-5187	109	40	µξn(1−	µξn(1−	PROPN
ejpam-5187	109	41	µξn	µξn	PROPN
ejpam-5187	109	42	)	)	PUNCT
ejpam-5187	109	43	>	>	X
ejpam-5187	109	44	0	0	PUNCT
ejpam-5187	110	1	moreover	moreover	ADV
ejpam-5187	110	2	,	,	PUNCT
ejpam-5187	110	3	{	{	PUNCT
ejpam-5187	110	4	wn	wn	NOUN
ejpam-5187	110	5	}	}	PUNCT
ejpam-5187	110	6	satisfies	satisfie	NOUN
ejpam-5187	110	7	(	(	PUNCT
ejpam-5187	110	8	c3	c3	PROPN
ejpam-5187	110	9	)	)	PUNCT
ejpam-5187	110	10	{	{	PUNCT
ejpam-5187	110	11	t	t	PROPN
ejpam-5187	110	12	nwn	nwn	PROPN
ejpam-5187	110	13	−	−	PROPN
ejpam-5187	110	14	wn	wn	PROPN
ejpam-5187	110	15	}	}	PUNCT
ejpam-5187	110	16	is	be	AUX
ejpam-5187	110	17	bounded	bound	VERB
ejpam-5187	110	18	.	.	PUNCT
ejpam-5187	111	1	observation	observation	NOUN
ejpam-5187	111	2	3	3	NUM
ejpam-5187	111	3	:	:	PUNCT
ejpam-5187	111	4	the	the	DET
ejpam-5187	111	5	discussion	discussion	NOUN
ejpam-5187	111	6	in	in	ADP
ejpam-5187	111	7	observation	observation	NOUN
ejpam-5187	111	8	1	1	NUM
ejpam-5187	111	9	also	also	ADV
ejpam-5187	111	10	holds	hold	VERB
ejpam-5187	111	11	for	for	ADP
ejpam-5187	111	12	θn∥an	θn∥an	PROPN
ejpam-5187	111	13	−	−	PROPN
ejpam-5187	111	14	an−1∥2	an−1∥2	PROPN
ejpam-5187	111	15	,	,	PUNCT
ejpam-5187	111	16	based	base	VERB
ejpam-5187	111	17	on	on	ADP
ejpam-5187	111	18	assumption	assumption	NOUN
ejpam-5187	111	19	1	1	NUM
ejpam-5187	111	20	and	and	CCONJ
ejpam-5187	111	21	the	the	DET
ejpam-5187	111	22	fact	fact	NOUN
ejpam-5187	111	23	that	that	SCONJ
ejpam-5187	111	24	∑	∑	ADV
ejpam-5187	111	25	θn∥an	θn∥an	PROPN
ejpam-5187	111	26	−	−	PROPN
ejpam-5187	111	27	an−1∥	an−1∥	PROPN
ejpam-5187	111	28	<	<	X
ejpam-5187	111	29	∞.	∞.	PROPN
ejpam-5187	111	30	moreover	moreover	ADV
ejpam-5187	111	31	,	,	PUNCT
ejpam-5187	111	32	lim	lim	PROPN
ejpam-5187	111	33	θn∥an	θn∥an	PROPN
ejpam-5187	111	34	−	−	PROPN
ejpam-5187	111	35	an−1∥2p	an−1∥2p	PROPN
ejpam-5187	111	36	=	=	SYM
ejpam-5187	111	37	(	(	PUNCT
ejpam-5187	111	38	lim	lim	PROPN
ejpam-5187	111	39	θn∥an−an−1∥	θn∥an−an−1∥	PROPN
ejpam-5187	111	40	)	)	PUNCT
ejpam-5187	111	41	holds	hold	VERB
ejpam-5187	111	42	for	for	ADP
ejpam-5187	111	43	every	every	DET
ejpam-5187	111	44	positive	positive	ADJ
ejpam-5187	111	45	integer	integer	NOUN
ejpam-5187	111	46	p	p	PROPN
ejpam-5187	111	47	>	>	X
ejpam-5187	111	48	1	1	NUM
ejpam-5187	111	49	,	,	PUNCT
ejpam-5187	111	50	.	.	PUNCT
ejpam-5187	112	1	when	when	SCONJ
ejpam-5187	112	2	(	(	PUNCT
ejpam-5187	112	3	lim∥an−an−1∥2p−1	lim∥an−an−1∥2p−1	PROPN
ejpam-5187	112	4	)	)	PUNCT
ejpam-5187	112	5	=	=	SYM
ejpam-5187	113	1	0	0	NUM
ejpam-5187	113	2	,	,	PUNCT
ejpam-5187	113	3	limit∥an	limit∥an	PROPN
ejpam-5187	113	4	−	−	PROPN
ejpam-5187	113	5	an−1∥2p−1	an−1∥2p−1	NOUN
ejpam-5187	113	6	)	)	PUNCT
ejpam-5187	113	7	=	=	SYM
ejpam-5187	114	1	0	0	X
ejpam-5187	114	2	.	.	PUNCT
ejpam-5187	115	1	it	it	PRON
ejpam-5187	115	2	is	be	AUX
ejpam-5187	115	3	therefore	therefore	ADV
ejpam-5187	115	4	weaker	weak	ADJ
ejpam-5187	115	5	to	to	PART
ejpam-5187	115	6	impose	impose	VERB
ejpam-5187	115	7	a	a	DET
ejpam-5187	115	8	boundedness	boundedness	NOUN
ejpam-5187	115	9	constraint	constraint	NOUN
ejpam-5187	115	10	on	on	ADP
ejpam-5187	115	11	θn∥an	θn∥an	PROPN
ejpam-5187	115	12	−	−	PROPN
ejpam-5187	115	13	an−1∥2p	an−1∥2p	PROPN
ejpam-5187	115	14	.	.	PUNCT
ejpam-5187	116	1	this	this	PRON
ejpam-5187	116	2	will	will	AUX
ejpam-5187	116	3	help	help	VERB
ejpam-5187	116	4	with	with	ADP
ejpam-5187	116	5	the	the	DET
ejpam-5187	116	6	outcomes	outcome	NOUN
ejpam-5187	116	7	we	we	PRON
ejpam-5187	116	8	get	get	VERB
ejpam-5187	116	9	in	in	ADP
ejpam-5187	116	10	the	the	DET
ejpam-5187	116	11	follow	follow	NOUN
ejpam-5187	116	12	-	-	PUNCT
ejpam-5187	116	13	up	up	NOUN
ejpam-5187	116	14	.	.	PUNCT
ejpam-5187	117	1	observation	observation	NOUN
ejpam-5187	117	2	4	4	NUM
ejpam-5187	117	3	:	:	PUNCT
ejpam-5187	117	4	the	the	DET
ejpam-5187	117	5	computations	computation	NOUN
ejpam-5187	117	6	and	and	CCONJ
ejpam-5187	117	7	analysis	analysis	NOUN
ejpam-5187	117	8	performed	perform	VERB
ejpam-5187	117	9	in	in	ADP
ejpam-5187	117	10	[	[	X
ejpam-5187	117	11	11	11	NUM
ejpam-5187	117	12	]	]	PUNCT
ejpam-5187	117	13	are	be	AUX
ejpam-5187	117	14	negatively	negatively	ADV
ejpam-5187	117	15	impacted	impact	VERB
ejpam-5187	117	16	by	by	ADP
ejpam-5187	117	17	the	the	DET
ejpam-5187	117	18	inequality	inequality	NOUN
ejpam-5187	117	19	that	that	PRON
ejpam-5187	117	20	characterizes	characterize	VERB
ejpam-5187	117	21	uniformly	uniformly	ADV
ejpam-5187	117	22	convex	convex	ADJ
ejpam-5187	117	23	banach	banach	NOUN
ejpam-5187	117	24	spaces	space	NOUN
ejpam-5187	117	25	,	,	PUNCT
ejpam-5187	117	26	which	which	PRON
ejpam-5187	117	27	is	be	AUX
ejpam-5187	117	28	unfortunately	unfortunately	ADV
ejpam-5187	117	29	economically	economically	ADV
ejpam-5187	117	30	quoted	quote	VERB
ejpam-5187	117	31	in	in	ADP
ejpam-5187	117	32	[	[	X
ejpam-5187	117	33	11	11	NUM
ejpam-5187	117	34	]	]	PUNCT
ejpam-5187	117	35	(	(	PUNCT
ejpam-5187	117	36	only	only	ADV
ejpam-5187	117	37	for	for	ADP
ejpam-5187	117	38	p	p	NOUN
ejpam-5187	117	39	=	=	NOUN
ejpam-5187	117	40	2	2	NUM
ejpam-5187	117	41	)	)	PUNCT
ejpam-5187	117	42	.	.	PUNCT
ejpam-5187	118	1	for	for	ADP
ejpam-5187	118	2	real	real	ADJ
ejpam-5187	118	3	uniformly	uniformly	ADV
ejpam-5187	118	4	convex	convex	NOUN
ejpam-5187	118	5	banach	banach	NOUN
ejpam-5187	118	6	spaces	space	VERB
ejpam-5187	118	7	,	,	PUNCT
ejpam-5187	118	8	therefore	therefore	ADV
ejpam-5187	118	9	,	,	PUNCT
ejpam-5187	118	10	the	the	DET
ejpam-5187	118	11	conclusions	conclusion	NOUN
ejpam-5187	118	12	in	in	ADP
ejpam-5187	118	13	[	[	X
ejpam-5187	118	14	11	11	NUM
ejpam-5187	118	15	]	]	PUNCT
ejpam-5187	118	16	are	be	AUX
ejpam-5187	118	17	not	not	PART
ejpam-5187	118	18	applicable	applicable	ADJ
ejpam-5187	118	19	in	in	ADP
ejpam-5187	118	20	general	general	ADJ
ejpam-5187	118	21	.	.	PUNCT
ejpam-5187	119	1	b.	b.	PROPN
ejpam-5187	119	2	g.	g.	PROPN
ejpam-5187	119	3	akuchu	akuchu	PROPN
ejpam-5187	119	4	et	et	PROPN
ejpam-5187	119	5	al	al	PROPN
ejpam-5187	119	6	.	.	PUNCT
ejpam-5187	119	7	/	/	SYM
ejpam-5187	119	8	eur	eur	PROPN
ejpam-5187	119	9	.	.	PUNCT
ejpam-5187	120	1	j.	j.	PROPN
ejpam-5187	120	2	pure	pure	PROPN
ejpam-5187	120	3	appl	appl	PROPN
ejpam-5187	120	4	.	.	PROPN
ejpam-5187	120	5	math	math	PROPN
ejpam-5187	120	6	,	,	PUNCT
ejpam-5187	120	7	17	17	NUM
ejpam-5187	120	8	(	(	PUNCT
ejpam-5187	120	9	3	3	NUM
ejpam-5187	120	10	)	)	PUNCT
ejpam-5187	120	11	(	(	PUNCT
ejpam-5187	120	12	2024	2024	NUM
ejpam-5187	120	13	)	)	PUNCT
ejpam-5187	120	14	,	,	PUNCT
ejpam-5187	120	15	1602	1602	NUM
ejpam-5187	120	16	-	-	SYM
ejpam-5187	120	17	1617	1617	NUM
ejpam-5187	120	18	1607	1607	NUM
ejpam-5187	120	19	in	in	ADP
ejpam-5187	120	20	this	this	DET
ejpam-5187	120	21	article	article	NOUN
ejpam-5187	120	22	,	,	PUNCT
ejpam-5187	120	23	we	we	PRON
ejpam-5187	120	24	modify	modify	VERB
ejpam-5187	120	25	the	the	DET
ejpam-5187	120	26	inertial	inertial	ADJ
ejpam-5187	120	27	iteration	iteration	NOUN
ejpam-5187	120	28	scheme	scheme	NOUN
ejpam-5187	120	29	introduced	introduce	VERB
ejpam-5187	120	30	in	in	ADP
ejpam-5187	120	31	[	[	X
ejpam-5187	120	32	1	1	NUM
ejpam-5187	120	33	]	]	PUNCT
ejpam-5187	120	34	and	and	CCONJ
ejpam-5187	120	35	prove	prove	VERB
ejpam-5187	120	36	convergence	convergence	NOUN
ejpam-5187	120	37	results	result	NOUN
ejpam-5187	120	38	for	for	ADP
ejpam-5187	120	39	fixed	fix	VERB
ejpam-5187	120	40	points	point	NOUN
ejpam-5187	120	41	of	of	ADP
ejpam-5187	120	42	asymptotically	asymptotically	ADV
ejpam-5187	120	43	nonexpansive	nonexpansive	ADJ
ejpam-5187	120	44	mappings	mapping	NOUN
ejpam-5187	120	45	in	in	ADP
ejpam-5187	120	46	some	some	DET
ejpam-5187	120	47	real	real	ADJ
ejpam-5187	120	48	uniformly	uniformly	ADV
ejpam-5187	120	49	convex	convex	NOUN
ejpam-5187	120	50	banach	banach	NOUN
ejpam-5187	120	51	spaces	space	VERB
ejpam-5187	120	52	.	.	PUNCT
ejpam-5187	121	1	we	we	PRON
ejpam-5187	121	2	do	do	VERB
ejpam-5187	121	3	this	this	PRON
ejpam-5187	121	4	by	by	ADP
ejpam-5187	121	5	imposing	impose	VERB
ejpam-5187	121	6	different	different	ADJ
ejpam-5187	121	7	sets	set	NOUN
ejpam-5187	121	8	of	of	ADP
ejpam-5187	121	9	conditions	condition	NOUN
ejpam-5187	121	10	,	,	PUNCT
ejpam-5187	121	11	some	some	PRON
ejpam-5187	121	12	of	of	ADP
ejpam-5187	121	13	which	which	PRON
ejpam-5187	121	14	are	be	AUX
ejpam-5187	121	15	weaker	weak	ADJ
ejpam-5187	121	16	than	than	ADP
ejpam-5187	121	17	those	those	PRON
ejpam-5187	121	18	imposed	impose	VERB
ejpam-5187	121	19	in	in	ADP
ejpam-5187	121	20	[	[	X
ejpam-5187	121	21	11	11	NUM
ejpam-5187	121	22	]	]	PUNCT
ejpam-5187	121	23	.	.	PUNCT
ejpam-5187	122	1	our	our	PRON
ejpam-5187	122	2	motivation	motivation	NOUN
ejpam-5187	122	3	comes	come	VERB
ejpam-5187	122	4	from	from	ADP
ejpam-5187	122	5	the	the	DET
ejpam-5187	122	6	aforementioned	aforementioned	ADJ
ejpam-5187	122	7	works	work	NOUN
ejpam-5187	122	8	and	and	CCONJ
ejpam-5187	122	9	observations	observation	NOUN
ejpam-5187	122	10	.	.	PUNCT
ejpam-5187	123	1	compared	compare	VERB
ejpam-5187	123	2	to	to	ADP
ejpam-5187	123	3	the	the	DET
ejpam-5187	123	4	class	class	NOUN
ejpam-5187	123	5	examined	examine	VERB
ejpam-5187	123	6	in	in	ADP
ejpam-5187	123	7	[	[	X
ejpam-5187	123	8	11	11	NUM
ejpam-5187	123	9	]	]	PUNCT
ejpam-5187	123	10	,	,	PUNCT
ejpam-5187	123	11	our	our	PRON
ejpam-5187	123	12	class	class	NOUN
ejpam-5187	123	13	of	of	ADP
ejpam-5187	123	14	spaces	space	NOUN
ejpam-5187	123	15	is	be	AUX
ejpam-5187	123	16	more	more	ADV
ejpam-5187	123	17	general	general	ADJ
ejpam-5187	123	18	(	(	PUNCT
ejpam-5187	123	19	just	just	ADV
ejpam-5187	123	20	for	for	ADP
ejpam-5187	123	21	p	p	NOUN
ejpam-5187	123	22	=	=	NOUN
ejpam-5187	123	23	2	2	NUM
ejpam-5187	123	24	)	)	PUNCT
ejpam-5187	123	25	.	.	PUNCT
ejpam-5187	124	1	our	our	PRON
ejpam-5187	124	2	improved	improved	ADJ
ejpam-5187	124	3	inertial	inertial	ADJ
ejpam-5187	124	4	strategy	strategy	NOUN
ejpam-5187	124	5	for	for	ADP
ejpam-5187	124	6	a	a	DET
ejpam-5187	124	7	real	real	ADV
ejpam-5187	124	8	uniformly	uniformly	ADV
ejpam-5187	124	9	convex	convex	NOUN
ejpam-5187	124	10	banach	banach	NOUN
ejpam-5187	124	11	x	x	VERB
ejpam-5187	124	12	is	be	AUX
ejpam-5187	124	13	as	as	ADP
ejpam-5187	124	14	follows:	follows:	NOUN
ejpam-5187	124	15	a0	a0	PROPN
ejpam-5187	124	16	,	,	PUNCT
ejpam-5187	124	17	a1	a1	NOUN
ejpam-5187	124	18	∈	∈	NOUN
ejpam-5187	124	19	x	x	PUNCT
ejpam-5187	124	20	bn	bn	NOUN
ejpam-5187	124	21	=	=	PUNCT
ejpam-5187	124	22	an	an	PRON
ejpam-5187	125	1	+	+	NUM
ejpam-5187	125	2	νn(an	νn(an	PROPN
ejpam-5187	125	3	−	−	X
ejpam-5187	125	4	an−1	an−1	ADJ
ejpam-5187	125	5	)	)	PUNCT
ejpam-5187	125	6	an+1	an+1	NOUN
ejpam-5187	125	7	=	=	SYM
ejpam-5187	125	8	(	(	PUNCT
ejpam-5187	125	9	1−	1−	NUM
ejpam-5187	125	10	ξn)bn	ξn)bn	NUM
ejpam-5187	126	1	+	+	NUM
ejpam-5187	126	2	ξnt	ξnt	PROPN
ejpam-5187	126	3	nbn	nbn	PROPN
ejpam-5187	126	4	,	,	PUNCT
ejpam-5187	126	5	n	n	NOUN
ejpam-5187	126	6	=	=	SYM
ejpam-5187	126	7	1	1	NUM
ejpam-5187	126	8	,	,	PUNCT
ejpam-5187	126	9	2	2	NUM
ejpam-5187	126	10	,	,	PUNCT
ejpam-5187	126	11	...	...	PUNCT
ejpam-5187	126	12	(	(	PUNCT
ejpam-5187	126	13	5	5	NUM
ejpam-5187	126	14	)	)	SYM
ejpam-5187	126	15	3	3	NUM
ejpam-5187	126	16	.	.	PUNCT
ejpam-5187	126	17	preliminaries	preliminary	NOUN
ejpam-5187	126	18	assume	assume	VERB
ejpam-5187	126	19	that	that	SCONJ
ejpam-5187	126	20	the	the	DET
ejpam-5187	126	21	banach	banach	NOUN
ejpam-5187	126	22	space	space	NOUN
ejpam-5187	126	23	x	x	PUNCT
ejpam-5187	126	24	is	be	AUX
ejpam-5187	126	25	real	real	ADJ
ejpam-5187	126	26	.	.	PUNCT
ejpam-5187	127	1	it	it	PRON
ejpam-5187	127	2	’s	’	VERB
ejpam-5187	127	3	common	common	ADJ
ejpam-5187	127	4	knowledge	knowledge	NOUN
ejpam-5187	127	5	that	that	SCONJ
ejpam-5187	127	6	if	if	SCONJ
ejpam-5187	127	7	d	d	NOUN
ejpam-5187	127	8	is	be	AUX
ejpam-5187	127	9	a	a	DET
ejpam-5187	127	10	nonempty	nonempty	ADJ
ejpam-5187	127	11	convex	convex	NOUN
ejpam-5187	127	12	subset	subset	NOUN
ejpam-5187	127	13	of	of	ADP
ejpam-5187	127	14	x	x	PUNCT
ejpam-5187	127	15	and	and	CCONJ
ejpam-5187	127	16	h	h	NOUN
ejpam-5187	127	17	:	:	PUNCT
ejpam-5187	127	18	x	x	X
ejpam-5187	127	19	→	→	PUNCT
ejpam-5187	127	20	ℜ̄	ℜ̄	PROPN
ejpam-5187	127	21	:	:	PUNCT
ejpam-5187	127	22	=	=	SYM
ejpam-5187	127	23	ℜ∪{+∞	ℜ∪{+∞	NOUN
ejpam-5187	127	24	}	}	PUNCT
ejpam-5187	127	25	is	be	AUX
ejpam-5187	127	26	a	a	DET
ejpam-5187	127	27	suitable	suitable	ADJ
ejpam-5187	127	28	functional	functional	ADJ
ejpam-5187	127	29	,	,	PUNCT
ejpam-5187	127	30	then	then	ADV
ejpam-5187	127	31	h	h	PROPN
ejpam-5187	127	32	is	be	AUX
ejpam-5187	127	33	convex	convex	ADJ
ejpam-5187	127	34	on	on	ADP
ejpam-5187	127	35	d	d	PROPN
ejpam-5187	127	36	if	if	SCONJ
ejpam-5187	127	37	h(λa+	h(λa+	PROPN
ejpam-5187	127	38	(	(	PUNCT
ejpam-5187	127	39	1−	1−	NUM
ejpam-5187	127	40	λ)b	λ)b	NOUN
ejpam-5187	127	41	)	)	PUNCT
ejpam-5187	127	42	≤	≤	NOUN
ejpam-5187	127	43	λh(a	λh(a	PUNCT
ejpam-5187	127	44	)	)	PUNCT
ejpam-5187	128	1	+	+	CCONJ
ejpam-5187	128	2	(	(	PUNCT
ejpam-5187	128	3	1−	1−	NUM
ejpam-5187	128	4	λ)h(b	λ)h(b	NOUN
ejpam-5187	128	5	)	)	PUNCT
ejpam-5187	128	6	for	for	ADP
ejpam-5187	128	7	all	all	PRON
ejpam-5187	128	8	0	0	NUM
ejpam-5187	128	9	≤	≤	NUM
ejpam-5187	128	10	λ	λ	NOUN
ejpam-5187	128	11	≤	≤	NOUN
ejpam-5187	128	12	1	1	NUM
ejpam-5187	128	13	and	and	CCONJ
ejpam-5187	128	14	a	a	DET
ejpam-5187	128	15	,	,	PUNCT
ejpam-5187	128	16	b	b	PROPN
ejpam-5187	128	17	∈	∈	PROPN
ejpam-5187	128	18	d.	d.	PROPN
ejpam-5187	128	19	in	in	ADP
ejpam-5187	128	20	d	d	PROPN
ejpam-5187	128	21	,	,	PUNCT
ejpam-5187	128	22	h	h	PROPN
ejpam-5187	128	23	is	be	AUX
ejpam-5187	128	24	considered	consider	VERB
ejpam-5187	128	25	uniformly	uniformly	ADV
ejpam-5187	128	26	convex	convex	NOUN
ejpam-5187	128	27	(	(	PUNCT
ejpam-5187	128	28	refer	refer	VERB
ejpam-5187	128	29	to	to	ADP
ejpam-5187	128	30	[	[	X
ejpam-5187	128	31	27	27	NUM
ejpam-5187	128	32	]	]	SYM
ejpam-5187	128	33	)	)	PUNCT
ejpam-5187	128	34	if	if	SCONJ
ejpam-5187	128	35	and	and	CCONJ
ejpam-5187	128	36	only	only	ADV
ejpam-5187	128	37	if	if	SCONJ
ejpam-5187	128	38	there	there	PRON
ejpam-5187	128	39	is	be	VERB
ejpam-5187	128	40	a	a	DET
ejpam-5187	128	41	function	function	NOUN
ejpam-5187	128	42	µ	µ	NOUN
ejpam-5187	128	43	:	:	PUNCT
ejpam-5187	128	44	ℜ+	ℜ+	ADP
ejpam-5187	128	45	:	:	PUNCT
ejpam-5187	128	46	=	=	X
ejpam-5187	129	1	[	[	X
ejpam-5187	129	2	0,+∞	0,+∞	NUM
ejpam-5187	129	3	)	)	PUNCT
ejpam-5187	129	4	→	→	SYM
ejpam-5187	129	5	ℜ+	ℜ+	X
ejpam-5187	129	6	with	with	ADP
ejpam-5187	129	7	µ(t	µ(t	ADJ
ejpam-5187	129	8	)	)	PUNCT
ejpam-5187	129	9	=	=	SYM
ejpam-5187	129	10	0	0	NUM
ejpam-5187	129	11	,	,	PUNCT
ejpam-5187	129	12	such	such	ADJ
ejpam-5187	129	13	that	that	DET
ejpam-5187	129	14	h(λa+	h(λa+	PROPN
ejpam-5187	129	15	(	(	PUNCT
ejpam-5187	129	16	1−	1−	NUM
ejpam-5187	129	17	λ)b	λ)b	NOUN
ejpam-5187	129	18	)	)	PUNCT
ejpam-5187	129	19	≤	≤	NOUN
ejpam-5187	129	20	λh(a	λh(a	PUNCT
ejpam-5187	129	21	)	)	PUNCT
ejpam-5187	130	1	+	+	CCONJ
ejpam-5187	130	2	(	(	PUNCT
ejpam-5187	130	3	1−	1−	NUM
ejpam-5187	130	4	λ)h(b)−	λ)h(b)−	PROPN
ejpam-5187	130	5	λ(1−	λ(1−	NOUN
ejpam-5187	130	6	λ)µ(∥a−	λ)µ(∥a−	PUNCT
ejpam-5187	130	7	b∥	b∥	NOUN
ejpam-5187	130	8	)	)	PUNCT
ejpam-5187	130	9	for	for	ADP
ejpam-5187	130	10	all	all	PRON
ejpam-5187	130	11	0	0	NUM
ejpam-5187	130	12	≤	≤	NUM
ejpam-5187	130	13	λ	λ	NOUN
ejpam-5187	130	14	≤	≤	NOUN
ejpam-5187	130	15	1	1	NUM
ejpam-5187	130	16	and	and	CCONJ
ejpam-5187	130	17	a	a	PRON
ejpam-5187	130	18	,	,	PUNCT
ejpam-5187	130	19	b	b	X
ejpam-5187	130	20	∈	∈	PROPN
ejpam-5187	130	21	d.	d.	PROPN
ejpam-5187	130	22	a	a	DET
ejpam-5187	130	23	definition	definition	NOUN
ejpam-5187	130	24	and	and	CCONJ
ejpam-5187	130	25	a	a	DET
ejpam-5187	130	26	few	few	ADJ
ejpam-5187	130	27	lemmas	lemma	NOUN
ejpam-5187	130	28	that	that	PRON
ejpam-5187	130	29	will	will	AUX
ejpam-5187	130	30	be	be	AUX
ejpam-5187	130	31	helpful	helpful	ADJ
ejpam-5187	130	32	in	in	ADP
ejpam-5187	130	33	the	the	DET
ejpam-5187	130	34	sequel	sequel	NOUN
ejpam-5187	130	35	are	be	AUX
ejpam-5187	130	36	provided	provide	VERB
ejpam-5187	130	37	before	before	SCONJ
ejpam-5187	130	38	we	we	PRON
ejpam-5187	130	39	express	express	VERB
ejpam-5187	130	40	and	and	CCONJ
ejpam-5187	130	41	demonstrate	demonstrate	VERB
ejpam-5187	130	42	our	our	PRON
ejpam-5187	130	43	primary	primary	ADJ
ejpam-5187	130	44	findings	finding	NOUN
ejpam-5187	130	45	:	:	PUNCT
ejpam-5187	130	46	definition	definition	NOUN
ejpam-5187	130	47	1	1	NUM
ejpam-5187	130	48	.	.	PUNCT
ejpam-5187	131	1	(	(	PUNCT
ejpam-5187	131	2	see	see	VERB
ejpam-5187	131	3	e.g	e.g	PROPN
ejpam-5187	132	1	[	[	X
ejpam-5187	132	2	20	20	NUM
ejpam-5187	132	3	]	]	PUNCT
ejpam-5187	132	4	)	)	PUNCT
ejpam-5187	132	5	consider	consider	VERB
ejpam-5187	132	6	the	the	DET
ejpam-5187	132	7	banach	banach	NOUN
ejpam-5187	132	8	space	space	NOUN
ejpam-5187	132	9	e.	e.	PROPN
ejpam-5187	133	1	when	when	SCONJ
ejpam-5187	133	2	{	{	PUNCT
ejpam-5187	133	3	an	an	PRON
ejpam-5187	133	4	}	}	PUNCT
ejpam-5187	133	5	is	be	AUX
ejpam-5187	133	6	a	a	DET
ejpam-5187	133	7	sequence	sequence	NOUN
ejpam-5187	133	8	in	in	ADP
ejpam-5187	133	9	d(t	d(t	PROPN
ejpam-5187	133	10	)	)	PUNCT
ejpam-5187	133	11	such	such	ADJ
ejpam-5187	133	12	that	that	SCONJ
ejpam-5187	133	13	{	{	PUNCT
ejpam-5187	133	14	an	an	PRON
ejpam-5187	133	15	}	}	PUNCT
ejpam-5187	133	16	converges	converge	VERB
ejpam-5187	133	17	weakly	weakly	ADJ
ejpam-5187	133	18	to	to	ADP
ejpam-5187	133	19	z	z	PROPN
ejpam-5187	133	20	∈	∈	PROPN
ejpam-5187	133	21	d(t	d(t	PROPN
ejpam-5187	133	22	)	)	PUNCT
ejpam-5187	133	23	and	and	CCONJ
ejpam-5187	133	24	{	{	PUNCT
ejpam-5187	133	25	t	t	PROPN
ejpam-5187	133	26	an	an	PRON
ejpam-5187	133	27	}	}	PUNCT
ejpam-5187	133	28	converges	converge	VERB
ejpam-5187	133	29	strongly	strongly	ADV
ejpam-5187	133	30	to	to	ADP
ejpam-5187	133	31	z	z	PROPN
ejpam-5187	133	32	,	,	PUNCT
ejpam-5187	133	33	then	then	ADV
ejpam-5187	133	34	t	t	PROPN
ejpam-5187	133	35	z	z	PROPN
ejpam-5187	133	36	=	=	PUNCT
ejpam-5187	133	37	z.	z.	PROPN
ejpam-5187	134	1	this	this	DET
ejpam-5187	134	2	mapping	mapping	NOUN
ejpam-5187	134	3	t	t	NOUN
ejpam-5187	134	4	:	:	PUNCT
ejpam-5187	134	5	d(t	d(t	PROPN
ejpam-5187	134	6	)	)	PUNCT
ejpam-5187	135	1	⊆	⊆	NUM
ejpam-5187	135	2	e	e	X
ejpam-5187	135	3	→	→	SYM
ejpam-5187	135	4	e	e	X
ejpam-5187	135	5	is	be	AUX
ejpam-5187	135	6	said	say	VERB
ejpam-5187	135	7	to	to	PART
ejpam-5187	135	8	be	be	AUX
ejpam-5187	135	9	demiclosed	demiclose	VERB
ejpam-5187	135	10	at	at	ADP
ejpam-5187	135	11	a	a	DET
ejpam-5187	135	12	point	point	NOUN
ejpam-5187	135	13	z	z	NOUN
ejpam-5187	135	14	∈	∈	PROPN
ejpam-5187	135	15	d(t	d(t	PROPN
ejpam-5187	135	16	)	)	PUNCT
ejpam-5187	135	17	.	.	PUNCT
ejpam-5187	136	1	lemma	lemma	PROPN
ejpam-5187	136	2	1	1	NUM
ejpam-5187	136	3	.	.	PUNCT
ejpam-5187	137	1	(	(	PUNCT
ejpam-5187	137	2	see	see	VERB
ejpam-5187	137	3	e.g	e.g	PROPN
ejpam-5187	138	1	[	[	X
ejpam-5187	138	2	10	10	NUM
ejpam-5187	138	3	]	]	PUNCT
ejpam-5187	138	4	)	)	PUNCT
ejpam-5187	138	5	assume	assume	VERB
ejpam-5187	138	6	that	that	SCONJ
ejpam-5187	138	7	e	e	NOUN
ejpam-5187	138	8	is	be	AUX
ejpam-5187	138	9	a	a	DET
ejpam-5187	138	10	uniformly	uniformly	ADV
ejpam-5187	138	11	convex	convex	NOUN
ejpam-5187	138	12	banach	banach	NOUN
ejpam-5187	138	13	space	space	NOUN
ejpam-5187	138	14	,	,	PUNCT
ejpam-5187	138	15	d	d	PRON
ejpam-5187	138	16	is	be	AUX
ejpam-5187	138	17	a	a	DET
ejpam-5187	138	18	nonempty	nonempty	ADV
ejpam-5187	138	19	closed	close	VERB
ejpam-5187	138	20	convex	convex	NOUN
ejpam-5187	138	21	subset	subset	NOUN
ejpam-5187	138	22	of	of	ADP
ejpam-5187	138	23	e	e	NOUN
ejpam-5187	138	24	,	,	PUNCT
ejpam-5187	138	25	and	and	CCONJ
ejpam-5187	138	26	t	t	X
ejpam-5187	138	27	:	:	PUNCT
ejpam-5187	139	1	d	d	X
ejpam-5187	139	2	→	→	SYM
ejpam-5187	139	3	d	d	NOUN
ejpam-5187	139	4	is	be	AUX
ejpam-5187	139	5	an	an	DET
ejpam-5187	139	6	asymptotically	asymptotically	ADV
ejpam-5187	139	7	nonexpansive	nonexpansive	ADJ
ejpam-5187	139	8	mapping	mapping	NOUN
ejpam-5187	139	9	with	with	ADP
ejpam-5187	139	10	a	a	DET
ejpam-5187	139	11	sequence	sequence	NOUN
ejpam-5187	139	12	{	{	PUNCT
ejpam-5187	139	13	κn	κn	NOUN
ejpam-5187	139	14	}	}	PUNCT
ejpam-5187	139	15	⊂	⊂	PROPN
ejpam-5187	140	1	[	[	X
ejpam-5187	140	2	1,∞	1,∞	NUM
ejpam-5187	140	3	)	)	PUNCT
ejpam-5187	140	4	,	,	PUNCT
ejpam-5187	140	5	where	where	SCONJ
ejpam-5187	140	6	limn→∞	limn→∞	ADJ
ejpam-5187	140	7	κn	κn	NOUN
ejpam-5187	140	8	=	=	SYM
ejpam-5187	140	9	1	1	NUM
ejpam-5187	140	10	..	..	PUNCT
ejpam-5187	140	11	at	at	ADP
ejpam-5187	140	12	zero	zero	NUM
ejpam-5187	140	13	,	,	PUNCT
ejpam-5187	140	14	i	i	PRON
ejpam-5187	140	15	−	−	PROPN
ejpam-5187	140	16	t	t	PROPN
ejpam-5187	140	17	is	be	AUX
ejpam-5187	140	18	demiclosed	demiclose	VERB
ejpam-5187	140	19	.	.	PUNCT
ejpam-5187	141	1	lemma	lemma	PROPN
ejpam-5187	141	2	2	2	NUM
ejpam-5187	141	3	.	.	PUNCT
ejpam-5187	142	1	(	(	PUNCT
ejpam-5187	142	2	see	see	VERB
ejpam-5187	142	3	e.g	e.g	PROPN
ejpam-5187	143	1	[	[	X
ejpam-5187	143	2	19	19	NUM
ejpam-5187	143	3	]	]	PUNCT
ejpam-5187	143	4	)	)	PUNCT
ejpam-5187	143	5	for	for	ADP
ejpam-5187	143	6	all	all	DET
ejpam-5187	143	7	n	n	PRON
ejpam-5187	143	8	≥	≥	NOUN
ejpam-5187	143	9	1	1	NUM
ejpam-5187	143	10	,	,	PUNCT
ejpam-5187	143	11	let	let	VERB
ejpam-5187	143	12	{	{	PUNCT
ejpam-5187	143	13	ξn	ξn	NOUN
ejpam-5187	143	14	}	}	PUNCT
ejpam-5187	143	15	,	,	PUNCT
ejpam-5187	143	16	{	{	PUNCT
ejpam-5187	143	17	βn	βn	NOUN
ejpam-5187	143	18	}	}	PUNCT
ejpam-5187	143	19	,	,	PUNCT
ejpam-5187	143	20	and	and	CCONJ
ejpam-5187	143	21	{	{	PUNCT
ejpam-5187	143	22	δn	δn	NOUN
ejpam-5187	143	23	}	}	PUNCT
ejpam-5187	143	24	be	be	VERB
ejpam-5187	143	25	sequences	sequence	NOUN
ejpam-5187	143	26	of	of	ADP
ejpam-5187	143	27	nonnegative	nonnegative	ADJ
ejpam-5187	143	28	real	real	ADJ
ejpam-5187	143	29	numbers	number	NOUN
ejpam-5187	143	30	that	that	PRON
ejpam-5187	143	31	fulfill	fulfill	VERB
ejpam-5187	143	32	the	the	DET
ejpam-5187	143	33	inequality	inequality	NOUN
ejpam-5187	143	34	ξn+1	ξn+1	NOUN
ejpam-5187	143	35	≤	≤	NUM
ejpam-5187	143	36	(	(	PUNCT
ejpam-5187	143	37	1	1	NUM
ejpam-5187	143	38	+	+	CCONJ
ejpam-5187	143	39	δn)ξn	δn)ξn	X
ejpam-5187	143	40	+	+	CCONJ
ejpam-5187	143	41	βn	βn	ADJ
ejpam-5187	143	42	,	,	PUNCT
ejpam-5187	143	43	lim	lim	PROPN
ejpam-5187	143	44	ξn	ξn	PROPN
ejpam-5187	143	45	exists	exist	VERB
ejpam-5187	143	46	if	if	SCONJ
ejpam-5187	143	47	and	and	CCONJ
ejpam-5187	143	48	only	only	ADV
ejpam-5187	143	49	if	if	SCONJ
ejpam-5187	143	50	∑	∑	PUNCT
ejpam-5187	143	51	δn	δn	NOUN
ejpam-5187	143	52	=	=	SYM
ejpam-5187	143	53	+	+	NOUN
ejpam-5187	143	54	∞	∞	NUM
ejpam-5187	143	55	and	and	CCONJ
ejpam-5187	143	56	∑	∑	ADV
ejpam-5187	143	57	βn	βn	NOUN
ejpam-5187	143	58	=	=	PUNCT
ejpam-5187	144	1	+	+	ADP
ejpam-5187	144	2	∞.	∞.	PROPN
ejpam-5187	144	3	additionally	additionally	ADV
ejpam-5187	144	4	,	,	PUNCT
ejpam-5187	144	5	if	if	SCONJ
ejpam-5187	144	6	{	{	PUNCT
ejpam-5187	144	7	ξn	ξn	NOUN
ejpam-5187	144	8	}	}	PUNCT
ejpam-5187	144	9	has	have	VERB
ejpam-5187	144	10	a	a	DET
ejpam-5187	144	11	subsequence	subsequence	NOUN
ejpam-5187	144	12	that	that	PRON
ejpam-5187	144	13	strongly	strongly	ADV
ejpam-5187	144	14	converges	converge	VERB
ejpam-5187	144	15	to	to	ADP
ejpam-5187	144	16	zero	zero	NUM
ejpam-5187	144	17	,	,	PUNCT
ejpam-5187	144	18	then	then	ADV
ejpam-5187	144	19	lim	lim	PROPN
ejpam-5187	144	20	ξn	ξn	PROPN
ejpam-5187	145	1	=	=	NOUN
ejpam-5187	145	2	0	0	PROPN
ejpam-5187	145	3	.	.	PUNCT
ejpam-5187	145	4	b.	b.	PROPN
ejpam-5187	145	5	g.	g.	PROPN
ejpam-5187	145	6	akuchu	akuchu	PROPN
ejpam-5187	145	7	et	et	PROPN
ejpam-5187	145	8	al	al	PROPN
ejpam-5187	145	9	.	.	PUNCT
ejpam-5187	145	10	/	/	SYM
ejpam-5187	145	11	eur	eur	PROPN
ejpam-5187	145	12	.	.	PUNCT
ejpam-5187	146	1	j.	j.	PROPN
ejpam-5187	146	2	pure	pure	PROPN
ejpam-5187	146	3	appl	appl	PROPN
ejpam-5187	146	4	.	.	PROPN
ejpam-5187	146	5	math	math	PROPN
ejpam-5187	146	6	,	,	PUNCT
ejpam-5187	146	7	17	17	NUM
ejpam-5187	146	8	(	(	PUNCT
ejpam-5187	146	9	3	3	NUM
ejpam-5187	146	10	)	)	PUNCT
ejpam-5187	146	11	(	(	PUNCT
ejpam-5187	146	12	2024	2024	NUM
ejpam-5187	146	13	)	)	PUNCT
ejpam-5187	146	14	,	,	PUNCT
ejpam-5187	146	15	1602	1602	NUM
ejpam-5187	146	16	-	-	SYM
ejpam-5187	146	17	1617	1617	NUM
ejpam-5187	146	18	1608	1608	NUM
ejpam-5187	146	19	lemma	lemma	PROPN
ejpam-5187	146	20	3	3	X
ejpam-5187	146	21	.	.	PUNCT
ejpam-5187	147	1	(	(	PUNCT
ejpam-5187	147	2	see	see	VERB
ejpam-5187	147	3	[	[	X
ejpam-5187	147	4	26	26	NUM
ejpam-5187	147	5	]	]	PUNCT
ejpam-5187	147	6	)	)	PUNCT
ejpam-5187	148	1	assume	assume	VERB
ejpam-5187	148	2	that	that	SCONJ
ejpam-5187	148	3	p	p	PROPN
ejpam-5187	148	4	>	>	X
ejpam-5187	148	5	1	1	NUM
ejpam-5187	148	6	is	be	AUX
ejpam-5187	148	7	a	a	DET
ejpam-5187	148	8	fixed	fix	VERB
ejpam-5187	148	9	real	real	ADJ
ejpam-5187	148	10	value	value	NOUN
ejpam-5187	148	11	.	.	PUNCT
ejpam-5187	149	1	if	if	SCONJ
ejpam-5187	149	2	x	x	PRON
ejpam-5187	149	3	is	be	AUX
ejpam-5187	149	4	p	p	NOUN
ejpam-5187	149	5	-	-	PUNCT
ejpam-5187	149	6	uniformly	uniformly	ADV
ejpam-5187	149	7	convex	convex	NOUN
ejpam-5187	149	8	,	,	PUNCT
ejpam-5187	149	9	then	then	ADV
ejpam-5187	149	10	the	the	DET
ejpam-5187	149	11	functional	functional	ADJ
ejpam-5187	149	12	∥.∥p	∥.∥p	NOUN
ejpam-5187	149	13	is	be	AUX
ejpam-5187	149	14	uniformly	uniformly	ADV
ejpam-5187	149	15	convex	convex	ADJ
ejpam-5187	149	16	on	on	ADP
ejpam-5187	149	17	the	the	DET
ejpam-5187	149	18	entire	entire	ADJ
ejpam-5187	149	19	banach	banach	NOUN
ejpam-5187	149	20	space	space	NOUN
ejpam-5187	149	21	x	x	INTJ
ejpam-5187	149	22	.	.	PUNCT
ejpam-5187	150	1	that	that	PRON
ejpam-5187	150	2	is	be	AUX
ejpam-5187	150	3	,	,	PUNCT
ejpam-5187	150	4	x	x	X
ejpam-5187	150	5	is	be	AUX
ejpam-5187	150	6	p−uniformly	p−uniformly	X
ejpam-5187	150	7	convex	convex	NOUN
ejpam-5187	150	8	if	if	SCONJ
ejpam-5187	150	9	and	and	CCONJ
ejpam-5187	150	10	only	only	ADV
ejpam-5187	150	11	if	if	SCONJ
ejpam-5187	150	12	h	h	NOUN
ejpam-5187	150	13	:	:	PUNCT
ejpam-5187	150	14	ℜ+	ℜ+	ADP
ejpam-5187	150	15	:	:	PUNCT
ejpam-5187	150	16	=	=	X
ejpam-5187	151	1	[	[	X
ejpam-5187	151	2	0,+∞	0,+∞	NUM
ejpam-5187	151	3	)	)	PUNCT
ejpam-5187	151	4	→	→	SYM
ejpam-5187	151	5	ℜ+	ℜ+	ADP
ejpam-5187	151	6	,	,	PUNCT
ejpam-5187	151	7	where	where	SCONJ
ejpam-5187	151	8	h(0	h(0	PROPN
ejpam-5187	151	9	)	)	PUNCT
ejpam-5187	151	10	=	=	SYM
ejpam-5187	151	11	0	0	NUM
ejpam-5187	151	12	,	,	PUNCT
ejpam-5187	151	13	exists	exist	VERB
ejpam-5187	151	14	and	and	CCONJ
ejpam-5187	151	15	such	such	DET
ejpam-5187	151	16	a	a	DET
ejpam-5187	151	17	function	function	NOUN
ejpam-5187	151	18	∥λa+(1−λ)a∥p	∥λa+(1−λ)a∥p	ADP
ejpam-5187	151	19	≤	≤	NOUN
ejpam-5187	151	20	λ∥a∥p+(1−λ)∥b∥p−λ(1−λ)g(∥a−	λ∥a∥p+(1−λ)∥b∥p−λ(1−λ)g(∥a−	PUNCT
ejpam-5187	151	21	b∥	b∥	NOUN
ejpam-5187	151	22	)	)	PUNCT
ejpam-5187	151	23	for	for	ADP
ejpam-5187	151	24	all	all	PRON
ejpam-5187	151	25	0	0	NUM
ejpam-5187	151	26	≤	≤	NUM
ejpam-5187	151	27	λ	λ	NOUN
ejpam-5187	151	28	≤	≤	NOUN
ejpam-5187	151	29	1	1	NUM
ejpam-5187	151	30	and	and	CCONJ
ejpam-5187	151	31	a	a	PRON
ejpam-5187	151	32	,	,	PUNCT
ejpam-5187	151	33	b	b	X
ejpam-5187	151	34	∈	∈	PROPN
ejpam-5187	151	35	x	x	X
ejpam-5187	151	36	.	.	PUNCT
ejpam-5187	152	1	according	accord	VERB
ejpam-5187	152	2	to	to	ADP
ejpam-5187	152	3	[	[	X
ejpam-5187	152	4	26	26	NUM
ejpam-5187	152	5	]	]	PUNCT
ejpam-5187	152	6	,	,	PUNCT
ejpam-5187	152	7	this	this	DET
ejpam-5187	152	8	lemma	lemma	PROPN
ejpam-5187	152	9	’s	’s	PART
ejpam-5187	152	10	result	result	NOUN
ejpam-5187	152	11	yields	yield	VERB
ejpam-5187	152	12	the	the	DET
ejpam-5187	152	13	inequality	inequality	NOUN
ejpam-5187	152	14	below	below	ADV
ejpam-5187	152	15	:	:	PUNCT
ejpam-5187	152	16	a	a	DET
ejpam-5187	152	17	real	real	ADV
ejpam-5187	152	18	constant	constant	ADJ
ejpam-5187	152	19	c	c	NOUN
ejpam-5187	152	20	>	>	X
ejpam-5187	152	21	0	0	NUM
ejpam-5187	152	22	exists	exist	VERB
ejpam-5187	152	23	such	such	ADJ
ejpam-5187	152	24	that	that	SCONJ
ejpam-5187	152	25	∥λa+	∥λa+	PROPN
ejpam-5187	152	26	(	(	PUNCT
ejpam-5187	152	27	1−	1−	NUM
ejpam-5187	152	28	λ)b∥p	λ)b∥p	NOUN
ejpam-5187	152	29	≤	≤	X
ejpam-5187	152	30	λ∥a∥p	λ∥a∥p	X
ejpam-5187	152	31	+	+	CCONJ
ejpam-5187	152	32	(	(	PUNCT
ejpam-5187	152	33	1−	1−	NUM
ejpam-5187	152	34	λ)∥b∥p	λ)∥b∥p	PROPN
ejpam-5187	152	35	−wp(λ)c∥a−	−wp(λ)c∥a−	PROPN
ejpam-5187	152	36	b∥p	b∥p	PROPN
ejpam-5187	152	37	,	,	PUNCT
ejpam-5187	152	38	where	where	SCONJ
ejpam-5187	152	39	wp(λ	wp(λ	X
ejpam-5187	152	40	)	)	PUNCT
ejpam-5187	152	41	=	=	PUNCT
ejpam-5187	152	42	λ(1−	λ(1−	NOUN
ejpam-5187	152	43	λ)p	λ)p	PUNCT
ejpam-5187	152	44	+	+	PUNCT
ejpam-5187	153	1	λp(1−	λp(1−	PRON
ejpam-5187	153	2	λ)for	λ)for	ADP
ejpam-5187	153	3	every	every	DET
ejpam-5187	153	4	0	0	NUM
ejpam-5187	153	5	≤	≤	NUM
ejpam-5187	153	6	λ	λ	NOUN
ejpam-5187	153	7	≤	≤	NUM
ejpam-5187	153	8	1	1	NUM
ejpam-5187	153	9	and	and	CCONJ
ejpam-5187	153	10	a	a	PRON
ejpam-5187	153	11	,	,	PUNCT
ejpam-5187	153	12	b	b	X
ejpam-5187	153	13	∈	∈	NOUN
ejpam-5187	153	14	x.	x.	NOUN
ejpam-5187	153	15	4	4	X
ejpam-5187	153	16	.	.	X
ejpam-5187	153	17	main	main	ADJ
ejpam-5187	153	18	results	result	NOUN
ejpam-5187	153	19	we	we	PRON
ejpam-5187	153	20	now	now	ADV
ejpam-5187	153	21	state	state	VERB
ejpam-5187	153	22	and	and	CCONJ
ejpam-5187	153	23	prove	prove	VERB
ejpam-5187	153	24	our	our	PRON
ejpam-5187	153	25	main	main	ADJ
ejpam-5187	153	26	results	result	NOUN
ejpam-5187	153	27	.	.	PUNCT
ejpam-5187	154	1	theorem	theorem	ADJ
ejpam-5187	154	2	4	4	NUM
ejpam-5187	154	3	.	.	PUNCT
ejpam-5187	155	1	let	let	VERB
ejpam-5187	155	2	x	x	PRON
ejpam-5187	155	3	be	be	AUX
ejpam-5187	155	4	a	a	DET
ejpam-5187	155	5	p−uniformly	p−uniformly	NUM
ejpam-5187	155	6	convex	convex	NOUN
ejpam-5187	155	7	banach	banach	NOUN
ejpam-5187	155	8	space	space	NOUN
ejpam-5187	155	9	that	that	PRON
ejpam-5187	155	10	satisfies	satisfy	VERB
ejpam-5187	155	11	opial	opial	NOUN
ejpam-5187	155	12	’s	’s	PART
ejpam-5187	155	13	condition	condition	NOUN
ejpam-5187	155	14	,	,	PUNCT
ejpam-5187	155	15	and	and	CCONJ
ejpam-5187	155	16	let	let	VERB
ejpam-5187	155	17	p	p	PRON
ejpam-5187	155	18	>	>	X
ejpam-5187	155	19	1	1	NUM
ejpam-5187	155	20	be	be	AUX
ejpam-5187	155	21	any	any	DET
ejpam-5187	155	22	positive	positive	ADJ
ejpam-5187	155	23	integer	integer	NOUN
ejpam-5187	155	24	.	.	PUNCT
ejpam-5187	156	1	given	give	VERB
ejpam-5187	156	2	a	a	DET
ejpam-5187	156	3	non	non	ADJ
ejpam-5187	156	4	-	-	ADJ
ejpam-5187	156	5	empty	empty	ADJ
ejpam-5187	156	6	fixed	fix	VERB
ejpam-5187	156	7	points	point	NOUN
ejpam-5187	156	8	set	set	VERB
ejpam-5187	156	9	f	f	AUX
ejpam-5187	156	10	(	(	PUNCT
ejpam-5187	156	11	t	t	PROPN
ejpam-5187	156	12	)	)	PUNCT
ejpam-5187	156	13	and	and	CCONJ
ejpam-5187	156	14	a	a	DET
ejpam-5187	156	15	sequence	sequence	NOUN
ejpam-5187	156	16	{	{	PUNCT
ejpam-5187	156	17	κn	κn	NOUN
ejpam-5187	156	18	}	}	PUNCT
ejpam-5187	156	19	⊂	⊂	PROPN
ejpam-5187	157	1	[	[	X
ejpam-5187	157	2	1,∞	1,∞	NUM
ejpam-5187	157	3	)	)	PUNCT
ejpam-5187	157	4	,	,	PUNCT
ejpam-5187	157	5	let	let	VERB
ejpam-5187	157	6	t	t	NOUN
ejpam-5187	157	7	:	:	PUNCT
ejpam-5187	157	8	x	x	X
ejpam-5187	157	9	→	→	PUNCT
ejpam-5187	157	10	x	x	PUNCT
ejpam-5187	157	11	be	be	AUX
ejpam-5187	157	12	an	an	DET
ejpam-5187	157	13	asymptotically	asymptotically	ADV
ejpam-5187	157	14	nonexpansive	nonexpansive	ADJ
ejpam-5187	157	15	mapping	mapping	NOUN
ejpam-5187	157	16	such	such	ADJ
ejpam-5187	157	17	that	that	SCONJ
ejpam-5187	157	18	∑	∑	ADP
ejpam-5187	157	19	n→∞	n→∞	NUM
ejpam-5187	157	20	κn	κn	NOUN
ejpam-5187	157	21	−	−	PROPN
ejpam-5187	157	22	1	1	NUM
ejpam-5187	157	23	<	<	X
ejpam-5187	157	24	∞.	∞.	PROPN
ejpam-5187	157	25	let	let	VERB
ejpam-5187	157	26	{	{	PUNCT
ejpam-5187	157	27	an	an	PRON
ejpam-5187	157	28	}	}	PUNCT
ejpam-5187	157	29	be	be	AUX
ejpam-5187	157	30	the	the	DET
ejpam-5187	157	31	modified	modify	VERB
ejpam-5187	157	32	inertial	inertial	ADJ
ejpam-5187	157	33	krasnosel’skii	krasnosel’skii	PROPN
ejpam-5187	157	34	-	-	PUNCT
ejpam-5187	157	35	mann	mann	NOUN
ejpam-5187	157	36	sequence	sequence	NOUN
ejpam-5187	157	37	for	for	ADP
ejpam-5187	157	38	a0	a0	NOUN
ejpam-5187	157	39	,	,	PUNCT
ejpam-5187	157	40	a1	a1	NOUN
ejpam-5187	157	41	∈	∈	PROPN
ejpam-5187	157	42	x	x	X
ejpam-5187	157	43	,	,	PUNCT
ejpam-5187	157	44	where	where	SCONJ
ejpam-5187	157	45	{	{	PUNCT
ejpam-5187	157	46	ξn	ξn	NOUN
ejpam-5187	157	47	}	}	PUNCT
ejpam-5187	157	48	and	and	CCONJ
ejpam-5187	157	49	{	{	PUNCT
ejpam-5187	157	50	νn	νn	AUX
ejpam-5187	157	51	}	}	PUNCT
ejpam-5187	157	52	are	be	AUX
ejpam-5187	157	53	real	real	ADJ
ejpam-5187	157	54	sequences	sequence	NOUN
ejpam-5187	157	55	in	in	ADP
ejpam-5187	157	56	(	(	PUNCT
ejpam-5187	157	57	0	0	NUM
ejpam-5187	157	58	,	,	PUNCT
ejpam-5187	157	59	1	1	NUM
ejpam-5187	157	60	)	)	PUNCT
ejpam-5187	157	61	,	,	PUNCT
ejpam-5187	157	62	satisfying	satisfy	VERB
ejpam-5187	157	63	:	:	PUNCT
ejpam-5187	157	64	(	(	PUNCT
ejpam-5187	157	65	i	i	NOUN
ejpam-5187	157	66	)	)	PUNCT
ejpam-5187	157	67	νn∥an	νn∥an	PROPN
ejpam-5187	157	68	−	−	PROPN
ejpam-5187	158	1	an−1∥2p	an−1∥2p	PROPN
ejpam-5187	158	2	≤	≤	NUM
ejpam-5187	159	1	d	d	NOUN
ejpam-5187	159	2	,	,	PUNCT
ejpam-5187	159	3	for	for	ADP
ejpam-5187	159	4	some	some	DET
ejpam-5187	159	5	real	real	ADJ
ejpam-5187	159	6	positive	positive	ADJ
ejpam-5187	159	7	constant	constant	ADJ
ejpam-5187	159	8	d	d	NOUN
ejpam-5187	159	9	,	,	PUNCT
ejpam-5187	159	10	(	(	PUNCT
ejpam-5187	159	11	ii	ii	NOUN
ejpam-5187	159	12	)	)	PUNCT
ejpam-5187	159	13	lim	lim	PROPN
ejpam-5187	159	14	inf	inf	PROPN
ejpam-5187	159	15	ξn(1−	ξn(1−	PROPN
ejpam-5187	159	16	ξn	ξn	PROPN
ejpam-5187	159	17	)	)	PUNCT
ejpam-5187	159	18	>	>	X
ejpam-5187	159	19	0	0	NUM
ejpam-5187	159	20	,	,	PUNCT
ejpam-5187	159	21	(	(	PUNCT
ejpam-5187	159	22	iii	iii	NOUN
ejpam-5187	159	23	)	)	PUNCT
ejpam-5187	159	24	∑	∑	ADP
ejpam-5187	159	25	ν	ν	X
ejpam-5187	159	26	1	1	NUM
ejpam-5187	159	27	2	2	NUM
ejpam-5187	159	28	n	n	NOUN
ejpam-5187	159	29	<	<	X
ejpam-5187	159	30	+	+	NOUN
ejpam-5187	159	31	∞.	∞.	PROPN
ejpam-5187	159	32	then	then	ADV
ejpam-5187	159	33	{	{	PUNCT
ejpam-5187	159	34	an	an	PRON
ejpam-5187	159	35	}	}	PUNCT
ejpam-5187	159	36	converges	converge	VERB
ejpam-5187	159	37	weakly	weakly	ADJ
ejpam-5187	159	38	to	to	ADP
ejpam-5187	159	39	a	a	DET
ejpam-5187	159	40	fixed	fix	VERB
ejpam-5187	159	41	point	point	NOUN
ejpam-5187	159	42	of	of	ADP
ejpam-5187	159	43	t	t	PROPN
ejpam-5187	159	44	.	.	PUNCT
ejpam-5187	160	1	proof	proof	NOUN
ejpam-5187	160	2	.	.	PUNCT
ejpam-5187	161	1	condition	condition	NOUN
ejpam-5187	161	2	(	(	PUNCT
ejpam-5187	161	3	i	i	NOUN
ejpam-5187	161	4	)	)	PUNCT
ejpam-5187	161	5	in	in	ADP
ejpam-5187	161	6	our	our	PRON
ejpam-5187	161	7	theorem	theorem	NOUN
ejpam-5187	161	8	is	be	AUX
ejpam-5187	161	9	motivated	motivate	VERB
ejpam-5187	161	10	by	by	ADP
ejpam-5187	161	11	observation	observation	NOUN
ejpam-5187	161	12	3	3	NUM
ejpam-5187	161	13	above	above	ADP
ejpam-5187	161	14	.	.	PUNCT
ejpam-5187	162	1	for	for	ADP
ejpam-5187	162	2	any	any	DET
ejpam-5187	162	3	positive	positive	ADJ
ejpam-5187	162	4	integer	integer	NOUN
ejpam-5187	162	5	p	p	PROPN
ejpam-5187	162	6	>	>	X
ejpam-5187	162	7	1	1	NUM
ejpam-5187	162	8	and	and	CCONJ
ejpam-5187	162	9	since	since	SCONJ
ejpam-5187	162	10	νn	νn	ADP
ejpam-5187	162	11	∈	∈	PROPN
ejpam-5187	162	12	(	(	PUNCT
ejpam-5187	162	13	0	0	NUM
ejpam-5187	162	14	,	,	PUNCT
ejpam-5187	162	15	1	1	X
ejpam-5187	162	16	)	)	PUNCT
ejpam-5187	162	17	we	we	PRON
ejpam-5187	162	18	have	have	VERB
ejpam-5187	162	19	(	(	PUNCT
ejpam-5187	162	20	1	1	NUM
ejpam-5187	162	21	+	+	NUM
ejpam-5187	162	22	νn)ν	νn)ν	PROPN
ejpam-5187	162	23	p	p	NOUN
ejpam-5187	162	24	n	n	NOUN
ejpam-5187	162	25	<	<	X
ejpam-5187	162	26	νn(1	νn(1	X
ejpam-5187	162	27	+	+	CCONJ
ejpam-5187	162	28	νn	νn	X
ejpam-5187	162	29	)	)	PUNCT
ejpam-5187	162	30	p	p	NOUN
ejpam-5187	162	31	,	,	PUNCT
ejpam-5187	162	32	implying	imply	VERB
ejpam-5187	162	33	that	that	SCONJ
ejpam-5187	162	34	(	(	PUNCT
ejpam-5187	162	35	1	1	NUM
ejpam-5187	162	36	+	+	NUM
ejpam-5187	162	37	νn)ν	νn)ν	PROPN
ejpam-5187	162	38	p	p	NOUN
ejpam-5187	162	39	n	n	PRON
ejpam-5187	162	40	−	−	NOUN
ejpam-5187	162	41	νn(1	νn(1	NOUN
ejpam-5187	162	42	+	+	CCONJ
ejpam-5187	162	43	νn	νn	X
ejpam-5187	162	44	)	)	PUNCT
ejpam-5187	162	45	p	p	X
ejpam-5187	162	46	<	<	X
ejpam-5187	162	47	0	0	NUM
ejpam-5187	162	48	.	.	PUNCT
ejpam-5187	163	1	letting	let	VERB
ejpam-5187	163	2	wp	wp	PROPN
ejpam-5187	163	3	(	(	PUNCT
ejpam-5187	163	4	.	.	PUNCT
ejpam-5187	163	5	)	)	PUNCT
ejpam-5187	163	6	to	to	PART
ejpam-5187	163	7	be	be	AUX
ejpam-5187	163	8	the	the	DET
ejpam-5187	163	9	functional	functional	ADJ
ejpam-5187	163	10	in	in	ADP
ejpam-5187	163	11	lemma	lemma	PROPN
ejpam-5187	163	12	3	3	NUM
ejpam-5187	163	13	(	(	PUNCT
ejpam-5187	163	14	consequence	consequence	NOUN
ejpam-5187	163	15	inequality	inequality	NOUN
ejpam-5187	163	16	)	)	PUNCT
ejpam-5187	163	17	,	,	PUNCT
ejpam-5187	163	18	we	we	PRON
ejpam-5187	163	19	have	have	VERB
ejpam-5187	163	20	wp(1+νn	wp(1+νn	NOUN
ejpam-5187	163	21	)	)	PUNCT
ejpam-5187	164	1	=	=	SYM
ejpam-5187	164	2	(	(	PUNCT
ejpam-5187	164	3	1+νn)(−νn)p+(1+νn	1+νn)(−νn)p+(1+νn	NUM
ejpam-5187	164	4	)	)	PUNCT
ejpam-5187	164	5	p(−νn	p(−νn	NOUN
ejpam-5187	164	6	)	)	PUNCT
ejpam-5187	164	7	=	=	PUNCT
ejpam-5187	165	1			PUNCT
ejpam-5187	165	2	−[(1	−[(1	X
ejpam-5187	165	3	+	+	NUM
ejpam-5187	165	4	νn)ν	νn)ν	PROPN
ejpam-5187	165	5	p	p	X
ejpam-5187	165	6	n	n	NOUN
ejpam-5187	165	7	+	+	CCONJ
ejpam-5187	165	8	(	(	PUNCT
ejpam-5187	165	9	1	1	NUM
ejpam-5187	165	10	+	+	CCONJ
ejpam-5187	165	11	νn	νn	NOUN
ejpam-5187	165	12	)	)	PUNCT
ejpam-5187	165	13	pνn	pνn	NOUN
ejpam-5187	165	14	]	]	PUNCT
ejpam-5187	165	15	,	,	PUNCT
ejpam-5187	165	16	if	if	SCONJ
ejpam-5187	165	17	p	p	NOUN
ejpam-5187	165	18	is	be	AUX
ejpam-5187	165	19	odd	odd	ADJ
ejpam-5187	165	20	(	(	PUNCT
ejpam-5187	165	21	1	1	NUM
ejpam-5187	165	22	+	+	NUM
ejpam-5187	165	23	νn)ν	νn)ν	PROPN
ejpam-5187	165	24	p	p	NOUN
ejpam-5187	165	25	n	n	ADV
ejpam-5187	165	26	−	−	PROPN
ejpam-5187	165	27	(	(	PUNCT
ejpam-5187	165	28	1	1	NUM
ejpam-5187	165	29	+	+	CCONJ
ejpam-5187	165	30	νn	νn	X
ejpam-5187	165	31	)	)	PUNCT
ejpam-5187	165	32	pνn	pνn	NOUN
ejpam-5187	165	33	,	,	PUNCT
ejpam-5187	165	34	if	if	SCONJ
ejpam-5187	165	35	p	p	NOUN
ejpam-5187	165	36	is	be	AUX
ejpam-5187	165	37	even	even	ADV
ejpam-5187	165	38	so	so	ADV
ejpam-5187	165	39	,	,	PUNCT
ejpam-5187	165	40	for	for	ADP
ejpam-5187	165	41	all	all	DET
ejpam-5187	165	42	positive	positive	ADJ
ejpam-5187	165	43	integers	integer	NOUN
ejpam-5187	165	44	p	p	X
ejpam-5187	165	45	>	>	X
ejpam-5187	165	46	1	1	NUM
ejpam-5187	165	47	,	,	PUNCT
ejpam-5187	165	48	we	we	PRON
ejpam-5187	165	49	have	have	VERB
ejpam-5187	165	50	wp(1+νn	wp(1+νn	NOUN
ejpam-5187	165	51	)	)	PUNCT
ejpam-5187	165	52	<	<	X
ejpam-5187	165	53	0	0	PUNCT
ejpam-5187	166	1	(	(	PUNCT
ejpam-5187	166	2	since	since	SCONJ
ejpam-5187	166	3	(	(	PUNCT
ejpam-5187	166	4	1+νn)ν	1+νn)ν	NUM
ejpam-5187	166	5	p	p	X
ejpam-5187	166	6	n−νn(1+νn)p	n−νn(1+νn)p	VERB
ejpam-5187	166	7	<	<	X
ejpam-5187	166	8	0	0	NUM
ejpam-5187	166	9	,	,	PUNCT
ejpam-5187	166	10	)	)	PUNCT
ejpam-5187	167	1	so	so	SCONJ
ejpam-5187	167	2	that	that	SCONJ
ejpam-5187	167	3	−wp(ν	−wp(ν	PROPN
ejpam-5187	167	4	+	+	CCONJ
ejpam-5187	167	5	νn	νn	NOUN
ejpam-5187	167	6	)	)	PUNCT
ejpam-5187	167	7	>	>	X
ejpam-5187	167	8	0	0	X
ejpam-5187	167	9	.	.	PUNCT
ejpam-5187	168	1	also	also	ADV
ejpam-5187	168	2	,	,	PUNCT
ejpam-5187	168	3	observe	observe	VERB
ejpam-5187	168	4	that	that	SCONJ
ejpam-5187	168	5	−wp(1	−wp(1	PUNCT
ejpam-5187	169	1	+	+	CCONJ
ejpam-5187	169	2	νn	νn	NOUN
ejpam-5187	169	3	)	)	PUNCT
ejpam-5187	169	4	=	=	PRON
ejpam-5187	170	1	−[(1	−[(1	PROPN
ejpam-5187	171	1	+	+	CCONJ
ejpam-5187	171	2	νn)(−νn)p	νn)(−νn)p	VERB
ejpam-5187	171	3	+	+	CCONJ
ejpam-5187	171	4	(	(	PUNCT
ejpam-5187	171	5	1	1	NUM
ejpam-5187	171	6	+	+	CCONJ
ejpam-5187	171	7	νn	νn	NOUN
ejpam-5187	171	8	)	)	PUNCT
ejpam-5187	171	9	p(−νn	p(−νn	NOUN
ejpam-5187	171	10	)	)	PUNCT
ejpam-5187	171	11	]	]	PUNCT
ejpam-5187	171	12	=	=	PUNCT
ejpam-5187	172	1	(	(	PUNCT
ejpam-5187	172	2	1	1	NUM
ejpam-5187	172	3	+	+	CCONJ
ejpam-5187	172	4	νn	νn	NOUN
ejpam-5187	172	5	)	)	PUNCT
ejpam-5187	172	6	p(νn)−	p(νn)−	NOUN
ejpam-5187	172	7	(	(	PUNCT
ejpam-5187	172	8	1	1	NUM
ejpam-5187	173	1	+	+	CCONJ
ejpam-5187	173	2	νn)(−νn)p	νn)(−νn)p	ADJ
ejpam-5187	173	3	≤	≤	NOUN
ejpam-5187	173	4	(	(	PUNCT
ejpam-5187	173	5	1	1	NUM
ejpam-5187	173	6	+	+	CCONJ
ejpam-5187	173	7	νn	νn	X
ejpam-5187	173	8	)	)	PUNCT
ejpam-5187	173	9	pνn	pνn	NOUN
ejpam-5187	173	10	+	+	CCONJ
ejpam-5187	173	11	(	(	PUNCT
ejpam-5187	173	12	1	1	NUM
ejpam-5187	173	13	+	+	NUM
ejpam-5187	173	14	νn)(νn	νn)(νn	PROPN
ejpam-5187	173	15	)	)	PUNCT
ejpam-5187	173	16	p	p	NOUN
ejpam-5187	173	17	(	(	PUNCT
ejpam-5187	173	18	6	6	NUM
ejpam-5187	173	19	)	)	PUNCT
ejpam-5187	173	20	since	since	SCONJ
ejpam-5187	173	21	−wp(1	−wp(1	X
ejpam-5187	173	22	+	+	CCONJ
ejpam-5187	173	23	νn	νn	NOUN
ejpam-5187	173	24	)	)	PUNCT
ejpam-5187	173	25	>	>	X
ejpam-5187	173	26	0	0	NUM
ejpam-5187	173	27	,	,	PUNCT
ejpam-5187	173	28	the	the	DET
ejpam-5187	173	29	inequality	inequality	NOUN
ejpam-5187	173	30	(	(	PUNCT
ejpam-5187	173	31	consequent	consequent	ADJ
ejpam-5187	173	32	inequality	inequality	NOUN
ejpam-5187	173	33	)	)	PUNCT
ejpam-5187	173	34	in	in	ADP
ejpam-5187	173	35	lemma	lemma	PROPN
ejpam-5187	173	36	3	3	NUM
ejpam-5187	173	37	holds	hold	VERB
ejpam-5187	173	38	for	for	ADP
ejpam-5187	173	39	λ	λ	NOUN
ejpam-5187	173	40	=	=	SYM
ejpam-5187	173	41	1	1	NUM
ejpam-5187	173	42	+	+	CCONJ
ejpam-5187	173	43	νn	νn	PRON
ejpam-5187	173	44	,	,	PUNCT
ejpam-5187	173	45	for	for	ADP
ejpam-5187	173	46	some	some	DET
ejpam-5187	173	47	nonnegative	nonnegative	ADJ
ejpam-5187	173	48	real	real	ADJ
ejpam-5187	173	49	constant	constant	ADJ
ejpam-5187	173	50	c	c	NOUN
ejpam-5187	173	51	=	=	SYM
ejpam-5187	173	52	c1	c1	PROPN
ejpam-5187	173	53	and	and	CCONJ
ejpam-5187	173	54	for	for	ADP
ejpam-5187	173	55	all	all	DET
ejpam-5187	173	56	a	a	PRON
ejpam-5187	173	57	,	,	PUNCT
ejpam-5187	173	58	b	b	NOUN
ejpam-5187	173	59	in	in	ADP
ejpam-5187	173	60	any	any	DET
ejpam-5187	173	61	real	real	ADJ
ejpam-5187	173	62	puniformly	puniformly	ADV
ejpam-5187	173	63	convex	convex	VERB
ejpam-5187	173	64	banach	banach	NOUN
ejpam-5187	173	65	space	space	NOUN
ejpam-5187	173	66	with	with	ADP
ejpam-5187	173	67	p	p	PROPN
ejpam-5187	173	68	>	>	X
ejpam-5187	173	69	1	1	NUM
ejpam-5187	173	70	being	be	AUX
ejpam-5187	173	71	any	any	DET
ejpam-5187	173	72	positive	positive	ADJ
ejpam-5187	173	73	integer	integer	NOUN
ejpam-5187	173	74	.	.	PUNCT
ejpam-5187	174	1	b.	b.	PROPN
ejpam-5187	174	2	g.	g.	PROPN
ejpam-5187	174	3	akuchu	akuchu	PROPN
ejpam-5187	174	4	et	et	PROPN
ejpam-5187	174	5	al	al	PROPN
ejpam-5187	174	6	.	.	PUNCT
ejpam-5187	174	7	/	/	SYM
ejpam-5187	174	8	eur	eur	PROPN
ejpam-5187	174	9	.	.	PUNCT
ejpam-5187	175	1	j.	j.	PROPN
ejpam-5187	175	2	pure	pure	PROPN
ejpam-5187	175	3	appl	appl	PROPN
ejpam-5187	175	4	.	.	PROPN
ejpam-5187	175	5	math	math	PROPN
ejpam-5187	175	6	,	,	PUNCT
ejpam-5187	175	7	17	17	NUM
ejpam-5187	175	8	(	(	PUNCT
ejpam-5187	175	9	3	3	NUM
ejpam-5187	175	10	)	)	PUNCT
ejpam-5187	175	11	(	(	PUNCT
ejpam-5187	175	12	2024	2024	NUM
ejpam-5187	175	13	)	)	PUNCT
ejpam-5187	175	14	,	,	PUNCT
ejpam-5187	175	15	1602	1602	NUM
ejpam-5187	175	16	-	-	SYM
ejpam-5187	175	17	1617	1617	NUM
ejpam-5187	175	18	1609	1609	NUM
ejpam-5187	175	19	since	since	SCONJ
ejpam-5187	175	20	{	{	PUNCT
ejpam-5187	175	21	κn	κn	NOUN
ejpam-5187	175	22	}	}	PUNCT
ejpam-5187	175	23	⊂	⊂	PROPN
ejpam-5187	176	1	[	[	X
ejpam-5187	176	2	1,+∞	1,+∞	NUM
ejpam-5187	176	3	)	)	PUNCT
ejpam-5187	176	4	converges	converge	VERB
ejpam-5187	176	5	to	to	ADP
ejpam-5187	176	6	1	1	NUM
ejpam-5187	176	7	,	,	PUNCT
ejpam-5187	176	8	there	there	PRON
ejpam-5187	176	9	exists	exist	VERB
ejpam-5187	176	10	a	a	DET
ejpam-5187	176	11	positive	positive	ADJ
ejpam-5187	176	12	real	real	ADJ
ejpam-5187	176	13	constant	constant	ADJ
ejpam-5187	176	14	d1	d1	NOUN
ejpam-5187	176	15	,	,	PUNCT
ejpam-5187	176	16	such	such	ADJ
ejpam-5187	176	17	that	that	PRON
ejpam-5187	176	18	κpn	κpn	VERB
ejpam-5187	176	19	≤	≤	PUNCT
ejpam-5187	176	20	d1	d1	NOUN
ejpam-5187	176	21	.	.	PUNCT
ejpam-5187	177	1	by	by	ADP
ejpam-5187	177	2	applying	apply	VERB
ejpam-5187	177	3	the	the	DET
ejpam-5187	177	4	lagrange	lagrange	NOUN
ejpam-5187	177	5	mean	mean	NOUN
ejpam-5187	177	6	value	value	NOUN
ejpam-5187	177	7	theorem	theorem	VERB
ejpam-5187	177	8	,	,	PUNCT
ejpam-5187	177	9	it	it	PRON
ejpam-5187	177	10	is	be	AUX
ejpam-5187	177	11	easily	easily	ADV
ejpam-5187	177	12	verifiable	verifiable	ADJ
ejpam-5187	177	13	that	that	SCONJ
ejpam-5187	177	14	for	for	ADP
ejpam-5187	177	15	r	r	NOUN
ejpam-5187	177	16	>	>	SYM
ejpam-5187	177	17	1	1	NUM
ejpam-5187	177	18	,	,	PUNCT
ejpam-5187	177	19	we	we	PRON
ejpam-5187	177	20	have	have	VERB
ejpam-5187	177	21	rp	rp	NOUN
ejpam-5187	177	22	−	−	NUM
ejpam-5187	177	23	1	1	NUM
ejpam-5187	177	24	≤	≤	NOUN
ejpam-5187	177	25	prp−1(r	prp−1(r	NOUN
ejpam-5187	177	26	−	−	PROPN
ejpam-5187	177	27	1	1	NUM
ejpam-5187	177	28	)	)	PUNCT
ejpam-5187	177	29	.	.	PUNCT
ejpam-5187	178	1	let	let	VERB
ejpam-5187	178	2	c	c	PRON
ejpam-5187	178	3	be	be	AUX
ejpam-5187	178	4	a	a	DET
ejpam-5187	178	5	positive	positive	ADJ
ejpam-5187	178	6	real	real	ADJ
ejpam-5187	178	7	constant	constant	ADJ
ejpam-5187	178	8	and	and	CCONJ
ejpam-5187	178	9	a∗	a∗	PROPN
ejpam-5187	178	10	∈	∈	PROPN
ejpam-5187	178	11	f	f	X
ejpam-5187	178	12	(	(	PUNCT
ejpam-5187	178	13	t	t	PROPN
ejpam-5187	178	14	)	)	PUNCT
ejpam-5187	178	15	.	.	PUNCT
ejpam-5187	179	1	using	use	VERB
ejpam-5187	179	2	these	these	PRON
ejpam-5187	179	3	,	,	PUNCT
ejpam-5187	179	4	(	(	PUNCT
ejpam-5187	179	5	5	5	NUM
ejpam-5187	179	6	)	)	PUNCT
ejpam-5187	179	7	,	,	PUNCT
ejpam-5187	179	8	(	(	PUNCT
ejpam-5187	179	9	6	6	NUM
ejpam-5187	179	10	)	)	PUNCT
ejpam-5187	179	11	and	and	CCONJ
ejpam-5187	179	12	lemma	lemma	PROPN
ejpam-5187	179	13	3	3	NUM
ejpam-5187	179	14	(	(	PUNCT
ejpam-5187	179	15	consequence	consequence	NOUN
ejpam-5187	179	16	inequality	inequality	NOUN
ejpam-5187	179	17	)	)	PUNCT
ejpam-5187	179	18	,	,	PUNCT
ejpam-5187	179	19	we	we	PRON
ejpam-5187	179	20	have	have	VERB
ejpam-5187	179	21	||an+1	||an+1	NOUN
ejpam-5187	180	1	−	−	NOUN
ejpam-5187	180	2	a∗||p	a∗||p	NOUN
ejpam-5187	181	1	=	=	PUNCT
ejpam-5187	181	2	||(1−	||(1−	PROPN
ejpam-5187	181	3	ξn)bn	ξn)bn	PROPN
ejpam-5187	182	1	+	+	NUM
ejpam-5187	182	2	ξnt	ξnt	PROPN
ejpam-5187	182	3	nbn	nbn	NOUN
ejpam-5187	182	4	−	−	NOUN
ejpam-5187	182	5	a∗||p	a∗||p	NOUN
ejpam-5187	182	6	=	=	PUNCT
ejpam-5187	182	7	||(1−	||(1−	PROPN
ejpam-5187	182	8	ξn)(bn	ξn)(bn	PROPN
ejpam-5187	182	9	−	−	PROPN
ejpam-5187	182	10	a∗	a∗	NOUN
ejpam-5187	182	11	)	)	PUNCT
ejpam-5187	182	12	+	+	NUM
ejpam-5187	182	13	ξn(t	ξn(t	NUM
ejpam-5187	182	14	nbn	nbn	NOUN
ejpam-5187	182	15	−	−	NOUN
ejpam-5187	182	16	a∗)||p	a∗)||p	NOUN
ejpam-5187	182	17	≤	≤	X
ejpam-5187	182	18	(	(	PUNCT
ejpam-5187	182	19	1−	1−	NUM
ejpam-5187	182	20	ξn)||bn	ξn)||bn	NOUN
ejpam-5187	182	21	−	−	NOUN
ejpam-5187	182	22	a∗||p	a∗||p	NOUN
ejpam-5187	182	23	+	+	CCONJ
ejpam-5187	182	24	ξn||t	ξn||t	ADJ
ejpam-5187	182	25	nbn	nbn	NOUN
ejpam-5187	182	26	−	−	NOUN
ejpam-5187	182	27	a∗||p	a∗||p	NOUN
ejpam-5187	182	28	−	−	PROPN
ejpam-5187	182	29	wp(ξn)c||t	wp(ξn)c||t	PROPN
ejpam-5187	182	30	nbn	nbn	PROPN
ejpam-5187	182	31	−	−	PROPN
ejpam-5187	182	32	bn||p	bn||p	PROPN
ejpam-5187	182	33	≤	≤	NUM
ejpam-5187	182	34	(	(	PUNCT
ejpam-5187	182	35	1−	1−	NUM
ejpam-5187	182	36	ξn)||bn	ξn)||bn	NOUN
ejpam-5187	182	37	−	−	NOUN
ejpam-5187	182	38	a∗||p	a∗||p	NOUN
ejpam-5187	182	39	+	+	NUM
ejpam-5187	182	40	ξnκ	ξnκ	NOUN
ejpam-5187	183	1	p	p	NOUN
ejpam-5187	183	2	n||bn	n||bn	ADJ
ejpam-5187	183	3	−	−	PROPN
ejpam-5187	183	4	a∗||p	a∗||p	NOUN
ejpam-5187	183	5	−	−	PROPN
ejpam-5187	183	6	wp(ξn)c||t	wp(ξn)c||t	PROPN
ejpam-5187	183	7	nbn	nbn	PROPN
ejpam-5187	183	8	−	−	PROPN
ejpam-5187	183	9	bn||p	bn||p	NOUN
ejpam-5187	184	1	=	=	PUNCT
ejpam-5187	185	1	[	[	X
ejpam-5187	185	2	1	1	NUM
ejpam-5187	185	3	+	+	NOUN
ejpam-5187	185	4	ξn(κ	ξn(κ	NUM
ejpam-5187	185	5	p	p	NOUN
ejpam-5187	185	6	n	n	NUM
ejpam-5187	185	7	−	−	PROPN
ejpam-5187	185	8	1)]||bn	1)]||bn	NOUN
ejpam-5187	186	1	−	−	PROPN
ejpam-5187	186	2	a∗||p	a∗||p	NOUN
ejpam-5187	186	3	−	−	PROPN
ejpam-5187	186	4	wp(ξn)c||t	wp(ξn)c||t	PROPN
ejpam-5187	186	5	nbn	nbn	PROPN
ejpam-5187	186	6	−	−	PROPN
ejpam-5187	186	7	bn||p	bn||p	NOUN
ejpam-5187	187	1	=	=	PUNCT
ejpam-5187	188	1	[	[	X
ejpam-5187	188	2	1	1	NUM
ejpam-5187	188	3	+	+	NOUN
ejpam-5187	188	4	ξn(κ	ξn(κ	NUM
ejpam-5187	188	5	p	p	NOUN
ejpam-5187	188	6	n	n	CCONJ
ejpam-5187	188	7	−	−	PROPN
ejpam-5187	188	8	1)]||(1	1)]||(1	PROPN
ejpam-5187	188	9	+	+	CCONJ
ejpam-5187	188	10	νn)an−	νn)an−	PROPN
ejpam-5187	188	11	∋n	∋n	NUM
ejpam-5187	188	12	an−1	an−1	ADV
ejpam-5187	188	13	−	−	PROPN
ejpam-5187	188	14	a∗||p	a∗||p	NOUN
ejpam-5187	188	15	−	−	PROPN
ejpam-5187	188	16	wp(ξn)c||t	wp(ξn)c||t	PROPN
ejpam-5187	188	17	nbn	nbn	PROPN
ejpam-5187	188	18	−	−	PROPN
ejpam-5187	188	19	bn||p	bn||p	NOUN
ejpam-5187	189	1	=	=	PUNCT
ejpam-5187	190	1	[	[	X
ejpam-5187	190	2	1	1	NUM
ejpam-5187	190	3	+	+	NOUN
ejpam-5187	190	4	ξn(κ	ξn(κ	NUM
ejpam-5187	190	5	p	p	NOUN
ejpam-5187	190	6	n	n	CCONJ
ejpam-5187	190	7	−	−	PROPN
ejpam-5187	190	8	1)]∥(1	1)]∥(1	NUM
ejpam-5187	190	9	+	+	CCONJ
ejpam-5187	190	10	νn)(an	νn)(an	PROPN
ejpam-5187	190	11	−	−	PROPN
ejpam-5187	190	12	a∗)−	a∗)−	VERB
ejpam-5187	190	13	νn(an−1	νn(an−1	ADJ
ejpam-5187	190	14	−	−	NOUN
ejpam-5187	190	15	a∗)||p	a∗)||p	NOUN
ejpam-5187	190	16	−	−	PROPN
ejpam-5187	190	17	wp(ξn)c||t	wp(ξn)c||t	PROPN
ejpam-5187	190	18	nbn	nbn	PROPN
ejpam-5187	190	19	−	−	PROPN
ejpam-5187	190	20	bn||p	bn||p	PROPN
ejpam-5187	190	21	≤	≤	PUNCT
ejpam-5187	191	1	[	[	X
ejpam-5187	191	2	1	1	NUM
ejpam-5187	191	3	+	+	NOUN
ejpam-5187	191	4	ξn(κ	ξn(κ	NUM
ejpam-5187	191	5	p	p	NOUN
ejpam-5187	191	6	n	n	ADV
ejpam-5187	191	7	−	−	PROPN
ejpam-5187	191	8	1)][(1	1)][(1	PROPN
ejpam-5187	192	1	+	+	CCONJ
ejpam-5187	192	2	νn)∥an	νn)∥an	PROPN
ejpam-5187	192	3	−	−	PROPN
ejpam-5187	192	4	a∗∥p	a∗∥p	ADP
ejpam-5187	192	5	−	−	PROPN
ejpam-5187	192	6	νn∥an−1	νn∥an−1	ADJ
ejpam-5187	192	7	−	−	PROPN
ejpam-5187	192	8	a∗∥p	a∗∥p	ADP
ejpam-5187	192	9	−	−	PROPN
ejpam-5187	192	10	wp(1	wp(1	NOUN
ejpam-5187	192	11	+	+	CCONJ
ejpam-5187	192	12	νn)c1∥an	νn)c1∥an	NOUN
ejpam-5187	192	13	−	−	ADP
ejpam-5187	192	14	an−1∥p	an−1∥p	PROPN
ejpam-5187	192	15	]	]	PUNCT
ejpam-5187	192	16	−wp(ξn)c||t	−wp(ξn)c||t	PROPN
ejpam-5187	192	17	nbn	nbn	PROPN
ejpam-5187	192	18	−	−	PROPN
ejpam-5187	192	19	bn||p	bn||p	PROPN
ejpam-5187	192	20	≤	≤	PUNCT
ejpam-5187	193	1	[	[	X
ejpam-5187	193	2	1	1	NUM
ejpam-5187	193	3	+	+	NOUN
ejpam-5187	193	4	ξn(κ	ξn(κ	NUM
ejpam-5187	193	5	p	p	NOUN
ejpam-5187	193	6	n	n	PRON
ejpam-5187	193	7	−	−	PROPN
ejpam-5187	193	8	1)](1	1)](1	NUM
ejpam-5187	193	9	+	+	CCONJ
ejpam-5187	193	10	νn)∥an	νn)∥an	PROPN
ejpam-5187	193	11	−	−	PROPN
ejpam-5187	193	12	a∗∥p	a∗∥p	ADP
ejpam-5187	193	13	−	−	PROPN
ejpam-5187	194	1	[	[	X
ejpam-5187	194	2	1	1	NUM
ejpam-5187	194	3	+	+	NOUN
ejpam-5187	194	4	ξn(κ	ξn(κ	NUM
ejpam-5187	194	5	p	p	NOUN
ejpam-5187	194	6	n	n	CCONJ
ejpam-5187	194	7	−	−	PROPN
ejpam-5187	194	8	1)]wp(1	1)]wp(1	NOUN
ejpam-5187	194	9	+	+	CCONJ
ejpam-5187	194	10	νn)c1∥an	νn)c1∥an	NOUN
ejpam-5187	194	11	−	−	PROPN
ejpam-5187	194	12	an−1∥p	an−1∥p	PROPN
ejpam-5187	194	13	−wp(ξn)c||t	−wp(ξn)c||t	VERB
ejpam-5187	194	14	nbn	nbn	PROPN
ejpam-5187	194	15	−	−	PROPN
ejpam-5187	194	16	bn||p	bn||p	PROPN
ejpam-5187	194	17	≤	≤	PUNCT
ejpam-5187	195	1	∥an	∥an	PROPN
ejpam-5187	196	1	−	−	X
ejpam-5187	196	2	a∗∥p	a∗∥p	PRON
ejpam-5187	196	3	+	+	PUNCT
ejpam-5187	197	1	[	[	X
ejpam-5187	197	2	νn	νn	X
ejpam-5187	197	3	+	+	NUM
ejpam-5187	197	4	ξn(κ	ξn(κ	NUM
ejpam-5187	197	5	p	p	NOUN
ejpam-5187	197	6	n	n	CCONJ
ejpam-5187	197	7	−	−	NOUN
ejpam-5187	197	8	1	1	NUM
ejpam-5187	197	9	)	)	PUNCT
ejpam-5187	197	10	+	+	CCONJ
ejpam-5187	198	1	ξnνn(κ	ξnνn(κ	PRON
ejpam-5187	198	2	p	p	NOUN
ejpam-5187	198	3	n	n	NOUN
ejpam-5187	198	4	−	−	PROPN
ejpam-5187	198	5	1)]∥an	1)]∥an	NUM
ejpam-5187	198	6	−	−	PROPN
ejpam-5187	198	7	a∗∥p	a∗∥p	ADP
ejpam-5187	198	8	−	−	PROPN
ejpam-5187	198	9	κpnwp(1	κpnwp(1	NOUN
ejpam-5187	198	10	+	+	CCONJ
ejpam-5187	198	11	νn)c1∥an	νn)c1∥an	PROPN
ejpam-5187	198	12	−	−	PROPN
ejpam-5187	198	13	an−1∥p	an−1∥p	PROPN
ejpam-5187	198	14	−wp(ξn)c||t	−wp(ξn)c||t	VERB
ejpam-5187	198	15	nbn	nbn	PROPN
ejpam-5187	198	16	−	−	PROPN
ejpam-5187	198	17	bn||p	bn||p	PROPN
ejpam-5187	198	18	since	since	SCONJ
ejpam-5187	198	19	wp(1	wp(1	NOUN
ejpam-5187	198	20	+	+	CCONJ
ejpam-5187	198	21	νn	νn	NOUN
ejpam-5187	198	22	)	)	PUNCT
ejpam-5187	198	23	<	<	X
ejpam-5187	198	24	0	0	PUNCT
ejpam-5187	198	25	≤	≤	NUM
ejpam-5187	199	1	∥an	∥an	PROPN
ejpam-5187	200	1	−	−	X
ejpam-5187	201	1	a∗∥p	a∗∥p	PRON
ejpam-5187	201	2	+	+	PUNCT
ejpam-5187	202	1	[	[	X
ejpam-5187	202	2	νn	νn	X
ejpam-5187	202	3	+	+	NUM
ejpam-5187	202	4	2ξn(κ	2ξn(κ	NUM
ejpam-5187	202	5	p	p	NOUN
ejpam-5187	202	6	n	n	NOUN
ejpam-5187	202	7	−	−	PROPN
ejpam-5187	203	1	1)]∥an	1)]∥an	NUM
ejpam-5187	203	2	−	−	PROPN
ejpam-5187	203	3	a∗∥p	a∗∥p	ADP
ejpam-5187	203	4	−	−	PROPN
ejpam-5187	203	5	κpnwp(1	κpnwp(1	NOUN
ejpam-5187	203	6	+	+	CCONJ
ejpam-5187	203	7	νn)c1∥an	νn)c1∥an	PROPN
ejpam-5187	203	8	−	−	PROPN
ejpam-5187	203	9	an−1∥p	an−1∥p	PROPN
ejpam-5187	203	10	−wp(ξn)c||t	−wp(ξn)c||t	VERB
ejpam-5187	203	11	nbn	nbn	PROPN
ejpam-5187	203	12	−	−	PROPN
ejpam-5187	203	13	bn||p	bn||p	PROPN
ejpam-5187	203	14	≤	≤	PUNCT
ejpam-5187	204	1	∥an	∥an	PROPN
ejpam-5187	205	1	−	−	X
ejpam-5187	205	2	a∗∥p	a∗∥p	PRON
ejpam-5187	205	3	+	+	PUNCT
ejpam-5187	206	1	[	[	X
ejpam-5187	206	2	νn	νn	X
ejpam-5187	206	3	+	+	NUM
ejpam-5187	206	4	2ξnpκ	2ξnpκ	NUM
ejpam-5187	206	5	p−1	p−1	PROPN
ejpam-5187	206	6	n	n	CCONJ
ejpam-5187	206	7	(	(	PUNCT
ejpam-5187	206	8	κn	κn	NOUN
ejpam-5187	206	9	−	−	PROPN
ejpam-5187	206	10	1)]∥an	1)]∥an	NUM
ejpam-5187	206	11	−	−	PROPN
ejpam-5187	206	12	a∗∥p	a∗∥p	ADP
ejpam-5187	206	13	−	−	PROPN
ejpam-5187	206	14	κpnwp(1	κpnwp(1	NOUN
ejpam-5187	206	15	+	+	CCONJ
ejpam-5187	206	16	νn)c1∥an	νn)c1∥an	PROPN
ejpam-5187	206	17	−	−	PROPN
ejpam-5187	206	18	an−1∥p	an−1∥p	PROPN
ejpam-5187	206	19	−wp(ξn)c||t	−wp(ξn)c||t	VERB
ejpam-5187	206	20	nbn	nbn	PROPN
ejpam-5187	206	21	−	−	PROPN
ejpam-5187	206	22	bn||p	bn||p	PROPN
ejpam-5187	206	23	≤	≤	PUNCT
ejpam-5187	207	1	∥an	∥an	PROPN
ejpam-5187	208	1	−	−	X
ejpam-5187	208	2	a∗∥p	a∗∥p	PRON
ejpam-5187	208	3	+	+	PUNCT
ejpam-5187	209	1	[	[	X
ejpam-5187	209	2	νn	νn	X
ejpam-5187	209	3	+	+	NOUN
ejpam-5187	209	4	2pd1(κn	2pd1(κn	NUM
ejpam-5187	209	5	−	−	NOUN
ejpam-5187	210	1	1)]∥an	1)]∥an	NUM
ejpam-5187	210	2	−	−	PROPN
ejpam-5187	210	3	a∗∥p	a∗∥p	ADP
ejpam-5187	210	4	−	−	PROPN
ejpam-5187	210	5	κpnwp(1	κpnwp(1	NOUN
ejpam-5187	210	6	+	+	CCONJ
ejpam-5187	210	7	νn)c1∥an	νn)c1∥an	PROPN
ejpam-5187	210	8	−	−	PROPN
ejpam-5187	210	9	an−1∥p	an−1∥p	PROPN
ejpam-5187	210	10	−wp(ξn)c||t	−wp(ξn)c||t	VERB
ejpam-5187	210	11	nbn	nbn	PROPN
ejpam-5187	210	12	−	−	PROPN
ejpam-5187	210	13	bn||p	bn||p	PROPN
ejpam-5187	210	14	≤	≤	PUNCT
ejpam-5187	211	1	[	[	X
ejpam-5187	211	2	1	1	NUM
ejpam-5187	211	3	+	+	NUM
ejpam-5187	211	4	δn]∥an	δn]∥an	NOUN
ejpam-5187	211	5	−	−	NOUN
ejpam-5187	211	6	a∗∥p	a∗∥p	ADP
ejpam-5187	211	7	−	−	PROPN
ejpam-5187	211	8	κpnwp(1	κpnwp(1	NOUN
ejpam-5187	211	9	+	+	CCONJ
ejpam-5187	211	10	νn)c1∥an	νn)c1∥an	NOUN
ejpam-5187	211	11	−	−	PROPN
ejpam-5187	211	12	an−1∥p	an−1∥p	PROPN
ejpam-5187	211	13	−	−	PROPN
ejpam-5187	211	14	wp(ξn)c||t	wp(ξn)c||t	ADJ
ejpam-5187	211	15	nbn	nbn	PROPN
ejpam-5187	211	16	−	−	PROPN
ejpam-5187	211	17	bn||p	bn||p	PROPN
ejpam-5187	211	18	≤	≤	PUNCT
ejpam-5187	212	1	[	[	X
ejpam-5187	212	2	1	1	NUM
ejpam-5187	212	3	+	+	NUM
ejpam-5187	212	4	δn]∥an	δn]∥an	NOUN
ejpam-5187	212	5	−	−	X
ejpam-5187	212	6	a∗∥p	a∗∥p	X
ejpam-5187	212	7	−d1wp(1	−d1wp(1	ADJ
ejpam-5187	212	8	+	+	CCONJ
ejpam-5187	212	9	νn)c1∥an	νn)c1∥an	PROPN
ejpam-5187	212	10	−	−	PROPN
ejpam-5187	212	11	an−1∥p	an−1∥p	PROPN
ejpam-5187	212	12	−wp(ξn)c||t	−wp(ξn)c||t	VERB
ejpam-5187	212	13	nbn	nbn	PROPN
ejpam-5187	212	14	−	−	PROPN
ejpam-5187	212	15	bn||p	bn||p	PROPN
ejpam-5187	212	16	since	since	SCONJ
ejpam-5187	212	17	wp(1	wp(1	NOUN
ejpam-5187	212	18	+	+	CCONJ
ejpam-5187	212	19	νn	νn	NOUN
ejpam-5187	212	20	)	)	PUNCT
ejpam-5187	212	21	<	<	X
ejpam-5187	212	22	0	0	NUM
ejpam-5187	212	23	≤	≤	NOUN
ejpam-5187	213	1	[	[	X
ejpam-5187	213	2	1	1	NUM
ejpam-5187	213	3	+	+	NUM
ejpam-5187	213	4	δn]∥an	δn]∥an	NOUN
ejpam-5187	214	1	−	−	X
ejpam-5187	214	2	a∗∥p	a∗∥p	X
ejpam-5187	214	3	+	+	NOUN
ejpam-5187	214	4	d1[νn(1	d1[νn(1	X
ejpam-5187	214	5	+	+	CCONJ
ejpam-5187	214	6	νn	νn	NOUN
ejpam-5187	214	7	)	)	PUNCT
ejpam-5187	214	8	p	p	NOUN
ejpam-5187	214	9	+	+	NOUN
ejpam-5187	214	10	νpn(1	νpn(1	ADJ
ejpam-5187	214	11	+	+	CCONJ
ejpam-5187	214	12	νn)]c1∥an	νn)]c1∥an	PROPN
ejpam-5187	214	13	−	−	PROPN
ejpam-5187	214	14	an−1∥p	an−1∥p	PROPN
ejpam-5187	214	15	−wp(ξn)c||t	−wp(ξn)c||t	VERB
ejpam-5187	214	16	nbn	nbn	PROPN
ejpam-5187	214	17	−	−	PROPN
ejpam-5187	214	18	bn||p	bn||p	PROPN
ejpam-5187	214	19	≤	≤	PUNCT
ejpam-5187	215	1	[	[	X
ejpam-5187	215	2	1	1	NUM
ejpam-5187	215	3	+	+	NUM
ejpam-5187	215	4	δn]∥an	δn]∥an	NOUN
ejpam-5187	216	1	−	−	X
ejpam-5187	216	2	a∗∥p	a∗∥p	PROPN
ejpam-5187	216	3	+	+	NOUN
ejpam-5187	216	4	d1νn[(1	d1νn[(1	X
ejpam-5187	216	5	+	+	CCONJ
ejpam-5187	216	6	νn	νn	X
ejpam-5187	216	7	)	)	PUNCT
ejpam-5187	216	8	p	p	NOUN
ejpam-5187	217	1	+	+	PROPN
ejpam-5187	217	2	νp−1	νp−1	ADJ
ejpam-5187	217	3	n	n	CCONJ
ejpam-5187	217	4	(	(	PUNCT
ejpam-5187	217	5	1	1	NUM
ejpam-5187	217	6	+	+	NUM
ejpam-5187	217	7	νn)]c1∥an	νn)]c1∥an	NOUN
ejpam-5187	217	8	−	−	PROPN
ejpam-5187	217	9	an−1∥p	an−1∥p	PROPN
ejpam-5187	217	10	−wp(ξn)c||t	−wp(ξn)c||t	VERB
ejpam-5187	217	11	nbn	nbn	PROPN
ejpam-5187	217	12	−	−	PROPN
ejpam-5187	217	13	bn||p	bn||p	PROPN
ejpam-5187	217	14	≤	≤	PUNCT
ejpam-5187	218	1	[	[	X
ejpam-5187	218	2	1	1	NUM
ejpam-5187	218	3	+	+	NUM
ejpam-5187	218	4	δn]∥an	δn]∥an	NOUN
ejpam-5187	219	1	−	−	X
ejpam-5187	219	2	a∗∥p	a∗∥p	PROPN
ejpam-5187	219	3	+	+	PROPN
ejpam-5187	219	4	d1νn[2	d1νn[2	PROPN
ejpam-5187	219	5	p	p	NOUN
ejpam-5187	219	6	+	+	PROPN
ejpam-5187	219	7	2]c1∥an	2]c1∥an	PROPN
ejpam-5187	219	8	−	−	PROPN
ejpam-5187	219	9	an−1∥p	an−1∥p	PROPN
ejpam-5187	219	10	−	−	PROPN
ejpam-5187	219	11	wp(ξn)c||t	wp(ξn)c||t	ADJ
ejpam-5187	219	12	nbn	nbn	PROPN
ejpam-5187	219	13	−	−	PROPN
ejpam-5187	219	14	bn||p	bn||p	NOUN
ejpam-5187	219	15	=	=	PUNCT
ejpam-5187	220	1	[	[	X
ejpam-5187	220	2	1	1	NUM
ejpam-5187	220	3	+	+	NUM
ejpam-5187	220	4	δn]∥an	δn]∥an	NOUN
ejpam-5187	220	5	−	−	X
ejpam-5187	220	6	a∗∥p	a∗∥p	X
ejpam-5187	220	7	+	+	PUNCT
ejpam-5187	220	8	2d1νn[2	2d1νn[2	NUM
ejpam-5187	220	9	p−1	p−1	NOUN
ejpam-5187	221	1	+	+	CCONJ
ejpam-5187	222	1	1]c1∥an	1]c1∥an	PROPN
ejpam-5187	222	2	−	−	PROPN
ejpam-5187	222	3	an−1∥p	an−1∥p	PROPN
ejpam-5187	222	4	−	−	PROPN
ejpam-5187	222	5	wp(ξn)c||t	wp(ξn)c||t	ADJ
ejpam-5187	222	6	nbn	nbn	PROPN
ejpam-5187	222	7	−	−	PROPN
ejpam-5187	222	8	bn||p	bn||p	PROPN
ejpam-5187	222	9	≤	≤	PUNCT
ejpam-5187	223	1	[	[	X
ejpam-5187	223	2	1	1	NUM
ejpam-5187	223	3	+	+	NUM
ejpam-5187	223	4	δn]∥an	δn]∥an	NOUN
ejpam-5187	223	5	−	−	X
ejpam-5187	223	6	a∗∥p	a∗∥p	X
ejpam-5187	223	7	+	+	CCONJ
ejpam-5187	223	8	2d1[2	2d1[2	PROPN
ejpam-5187	223	9	p−1	p−1	PROPN
ejpam-5187	223	10	+	+	CCONJ
ejpam-5187	223	11	1]c1ν	1]c1ν	NUM
ejpam-5187	223	12	1	1	NUM
ejpam-5187	223	13	2	2	NUM
ejpam-5187	223	14	n	n	NOUN
ejpam-5187	223	15	[	[	X
ejpam-5187	223	16	νn∥an	νn∥an	PROPN
ejpam-5187	223	17	−	−	PROPN
ejpam-5187	223	18	an−1∥2p	an−1∥2p	PROPN
ejpam-5187	223	19	]	]	X
ejpam-5187	223	20	1	1	NUM
ejpam-5187	223	21	2	2	NUM
ejpam-5187	223	22	−	−	NOUN
ejpam-5187	223	23	wp(ξn)c||t	wp(ξn)c||t	PROPN
ejpam-5187	223	24	nbn	nbn	PROPN
ejpam-5187	223	25	−	−	PROPN
ejpam-5187	223	26	bn||p	bn||p	PROPN
ejpam-5187	223	27	≤	≤	PUNCT
ejpam-5187	224	1	[	[	X
ejpam-5187	224	2	1	1	NUM
ejpam-5187	224	3	+	+	NUM
ejpam-5187	224	4	δn]∥an	δn]∥an	NOUN
ejpam-5187	224	5	−	−	X
ejpam-5187	224	6	a∗∥p	a∗∥p	X
ejpam-5187	224	7	+	+	CCONJ
ejpam-5187	224	8	2d1[2	2d1[2	PROPN
ejpam-5187	224	9	p−1	p−1	PROPN
ejpam-5187	224	10	+	+	CCONJ
ejpam-5187	224	11	1]c1ν	1]c1ν	NUM
ejpam-5187	224	12	1	1	NUM
ejpam-5187	224	13	2	2	NUM
ejpam-5187	224	14	nd	nd	NUM
ejpam-5187	224	15	1	1	NUM
ejpam-5187	224	16	2	2	NUM
ejpam-5187	224	17	−	−	NOUN
ejpam-5187	224	18	wp(ξn)c||t	wp(ξn)c||t	PROPN
ejpam-5187	224	19	nbn	nbn	PROPN
ejpam-5187	224	20	−	−	PROPN
ejpam-5187	224	21	bn||p	bn||p	PROPN
ejpam-5187	224	22	b.	b.	PROPN
ejpam-5187	224	23	g.	g.	PROPN
ejpam-5187	224	24	akuchu	akuchu	PROPN
ejpam-5187	224	25	et	et	PROPN
ejpam-5187	224	26	al	al	PROPN
ejpam-5187	224	27	.	.	PUNCT
ejpam-5187	224	28	/	/	SYM
ejpam-5187	224	29	eur	eur	PROPN
ejpam-5187	224	30	.	.	PUNCT
ejpam-5187	225	1	j.	j.	PROPN
ejpam-5187	225	2	pure	pure	PROPN
ejpam-5187	225	3	appl	appl	PROPN
ejpam-5187	225	4	.	.	PROPN
ejpam-5187	225	5	math	math	PROPN
ejpam-5187	225	6	,	,	PUNCT
ejpam-5187	225	7	17	17	NUM
ejpam-5187	225	8	(	(	PUNCT
ejpam-5187	225	9	3	3	NUM
ejpam-5187	225	10	)	)	PUNCT
ejpam-5187	225	11	(	(	PUNCT
ejpam-5187	225	12	2024	2024	NUM
ejpam-5187	225	13	)	)	PUNCT
ejpam-5187	225	14	,	,	PUNCT
ejpam-5187	225	15	1602	1602	NUM
ejpam-5187	225	16	-	-	SYM
ejpam-5187	225	17	1617	1617	NUM
ejpam-5187	225	18	1610	1610	NUM
ejpam-5187	225	19	=	=	PUNCT
ejpam-5187	226	1	[	[	X
ejpam-5187	226	2	1	1	NUM
ejpam-5187	226	3	+	+	NUM
ejpam-5187	226	4	δn]∥an	δn]∥an	NOUN
ejpam-5187	226	5	−	−	X
ejpam-5187	226	6	a∗∥p	a∗∥p	X
ejpam-5187	226	7	+	+	NOUN
ejpam-5187	226	8	mν	mν	PROPN
ejpam-5187	226	9	1	1	NUM
ejpam-5187	226	10	2	2	NUM
ejpam-5187	226	11	n	n	DET
ejpam-5187	226	12	−	−	PROPN
ejpam-5187	226	13	wp(ξn)c||t	wp(ξn)c||t	PROPN
ejpam-5187	226	14	nbn	nbn	PROPN
ejpam-5187	226	15	−	−	PROPN
ejpam-5187	226	16	bn||p	bn||p	PROPN
ejpam-5187	226	17	(	(	PUNCT
ejpam-5187	226	18	7	7	X
ejpam-5187	226	19	)	)	PUNCT
ejpam-5187	226	20	wherem	wherem	NOUN
ejpam-5187	226	21	=	=	SYM
ejpam-5187	226	22	2c1d1[2	2c1d1[2	PROPN
ejpam-5187	226	23	p−1	p−1	PROPN
ejpam-5187	226	24	+	+	PROPN
ejpam-5187	226	25	1]d	1]d	NOUN
ejpam-5187	226	26	1	1	NUM
ejpam-5187	226	27	2	2	NUM
ejpam-5187	226	28	and	and	CCONJ
ejpam-5187	226	29	δn	δn	NOUN
ejpam-5187	226	30	=	=	SYM
ejpam-5187	226	31	νn+2pd1(κn−1	νn+2pd1(κn−1	X
ejpam-5187	226	32	)	)	PUNCT
ejpam-5187	226	33	is	be	AUX
ejpam-5187	226	34	such	such	ADJ
ejpam-5187	226	35	that	that	SCONJ
ejpam-5187	226	36	∑	∑	PUNCT
ejpam-5187	226	37	δn	δn	X
ejpam-5187	226	38	<	<	X
ejpam-5187	226	39	+	+	NOUN
ejpam-5187	226	40	∞	∞	PROPN
ejpam-5187	226	41	,	,	PUNCT
ejpam-5187	226	42	since∑	since∑	PROPN
ejpam-5187	226	43	(	(	PUNCT
ejpam-5187	226	44	κn	κn	NOUN
ejpam-5187	226	45	−	−	PROPN
ejpam-5187	226	46	1	1	NUM
ejpam-5187	226	47	)	)	PUNCT
ejpam-5187	226	48	<	<	X
ejpam-5187	227	1	+	+	NOUN
ejpam-5187	227	2	∞	∞	NOUN
ejpam-5187	227	3	and	and	CCONJ
ejpam-5187	227	4	condition	condition	NOUN
ejpam-5187	227	5	(	(	PUNCT
ejpam-5187	227	6	iii	iii	NOUN
ejpam-5187	227	7	)	)	PUNCT
ejpam-5187	227	8	holds	hold	VERB
ejpam-5187	227	9	.	.	PUNCT
ejpam-5187	228	1	using	use	VERB
ejpam-5187	228	2	this	this	PRON
ejpam-5187	228	3	,	,	PUNCT
ejpam-5187	228	4	(	(	PUNCT
ejpam-5187	228	5	7	7	NUM
ejpam-5187	228	6	)	)	PUNCT
ejpam-5187	228	7	,	,	PUNCT
ejpam-5187	228	8	lemma	lemma	PROPN
ejpam-5187	228	9	2	2	NUM
ejpam-5187	228	10	and	and	CCONJ
ejpam-5187	228	11	condition	condition	NOUN
ejpam-5187	228	12	(	(	PUNCT
ejpam-5187	228	13	iii	iii	NOUN
ejpam-5187	228	14	)	)	PUNCT
ejpam-5187	228	15	,	,	PUNCT
ejpam-5187	228	16	we	we	PRON
ejpam-5187	228	17	have	have	VERB
ejpam-5187	228	18	that	that	DET
ejpam-5187	228	19	lim	lim	PROPN
ejpam-5187	229	1	∥an	∥an	PROPN
ejpam-5187	229	2	−	−	PROPN
ejpam-5187	229	3	a∗∥p	a∗∥p	ADJ
ejpam-5187	229	4	exists	exist	VERB
ejpam-5187	229	5	.	.	PUNCT
ejpam-5187	230	1	this	this	PRON
ejpam-5187	230	2	implies	imply	VERB
ejpam-5187	230	3	{	{	PUNCT
ejpam-5187	230	4	an	an	DET
ejpam-5187	230	5	−	−	NOUN
ejpam-5187	230	6	a∗	a∗	NOUN
ejpam-5187	230	7	}	}	PUNCT
ejpam-5187	230	8	and	and	CCONJ
ejpam-5187	230	9	{	{	PUNCT
ejpam-5187	230	10	an	an	PRON
ejpam-5187	230	11	}	}	PUNCT
ejpam-5187	230	12	are	be	AUX
ejpam-5187	230	13	norm	norm	NOUN
ejpam-5187	230	14	bounded	bound	VERB
ejpam-5187	230	15	.	.	PUNCT
ejpam-5187	231	1	hence	hence	ADV
ejpam-5187	231	2	,	,	PUNCT
ejpam-5187	231	3	there	there	PRON
ejpam-5187	231	4	exists	exist	VERB
ejpam-5187	231	5	a	a	DET
ejpam-5187	231	6	real	real	ADJ
ejpam-5187	231	7	constant	constant	ADJ
ejpam-5187	231	8	d2	d2	PROPN
ejpam-5187	231	9	>	>	X
ejpam-5187	231	10	0	0	PROPN
ejpam-5187	231	11	,	,	PUNCT
ejpam-5187	231	12	such	such	ADJ
ejpam-5187	231	13	that	that	SCONJ
ejpam-5187	231	14	∥an	∥an	PROPN
ejpam-5187	231	15	−	−	NOUN
ejpam-5187	231	16	a∗∥p	a∗∥p	VERB
ejpam-5187	231	17	≤	≤	NUM
ejpam-5187	231	18	d2	d2	NOUN
ejpam-5187	231	19	.	.	PUNCT
ejpam-5187	232	1	using	use	VERB
ejpam-5187	232	2	this	this	PRON
ejpam-5187	232	3	in	in	ADP
ejpam-5187	232	4	7	7	NUM
ejpam-5187	232	5	and	and	CCONJ
ejpam-5187	232	6	∀n	∀n	NUM
ejpam-5187	232	7	≥	≥	NOUN
ejpam-5187	232	8	0	0	NUM
ejpam-5187	232	9	,	,	PUNCT
ejpam-5187	232	10	we	we	PRON
ejpam-5187	232	11	have	have	AUX
ejpam-5187	232	12	∥an+1	∥an+1	VERB
ejpam-5187	232	13	−	−	ADP
ejpam-5187	232	14	a∗∥p	a∗∥p	PROPN
ejpam-5187	232	15	≤	≤	NUM
ejpam-5187	233	1	∥an	∥an	PRON
ejpam-5187	234	1	−	−	X
ejpam-5187	234	2	a∗∥p	a∗∥p	PRON
ejpam-5187	234	3	+	+	NUM
ejpam-5187	234	4	δnd2	δnd2	NOUN
ejpam-5187	234	5	+	+	ADV
ejpam-5187	234	6	mν	mν	PROPN
ejpam-5187	234	7	1	1	NUM
ejpam-5187	234	8	2	2	NUM
ejpam-5187	234	9	n	n	DET
ejpam-5187	234	10	−	−	PROPN
ejpam-5187	234	11	wp(ξn)c||t	wp(ξn)c||t	PROPN
ejpam-5187	234	12	nbn	nbn	PROPN
ejpam-5187	234	13	−	−	PROPN
ejpam-5187	234	14	bn||p	bn||p	PROPN
ejpam-5187	234	15	from	from	ADP
ejpam-5187	234	16	this	this	PRON
ejpam-5187	234	17	,	,	PUNCT
ejpam-5187	234	18	the	the	DET
ejpam-5187	234	19	fact	fact	NOUN
ejpam-5187	234	20	that	that	SCONJ
ejpam-5187	234	21	∑	∑	PUNCT
ejpam-5187	234	22	δn	δn	X
ejpam-5187	234	23	<	<	X
ejpam-5187	234	24	+	+	NOUN
ejpam-5187	234	25	∞	∞	NOUN
ejpam-5187	234	26	and	and	CCONJ
ejpam-5187	234	27	condition	condition	NOUN
ejpam-5187	234	28	(	(	PUNCT
ejpam-5187	234	29	iii	iii	NOUN
ejpam-5187	234	30	)	)	PUNCT
ejpam-5187	234	31	,	,	PUNCT
ejpam-5187	234	32	we	we	PRON
ejpam-5187	234	33	have∑	have∑	VERB
ejpam-5187	234	34	n≥0	n≥0	ADJ
ejpam-5187	234	35	2[ξn(1−	2[ξn(1−	PROPN
ejpam-5187	234	36	ξn	ξn	NOUN
ejpam-5187	234	37	)	)	PUNCT
ejpam-5187	234	38	]	]	PUNCT
ejpam-5187	234	39	pc||t	pc||t	PROPN
ejpam-5187	234	40	nbn	nbn	PROPN
ejpam-5187	234	41	−	−	PROPN
ejpam-5187	234	42	bn||p	bn||p	PROPN
ejpam-5187	234	43	≤	≤	ADV
ejpam-5187	234	44	∑	∑	PUNCT
ejpam-5187	234	45	n≥0	n≥0	PROPN
ejpam-5187	234	46	wp(ξn)c||t	wp(ξn)c||t	ADJ
ejpam-5187	234	47	nbn	nbn	PROPN
ejpam-5187	234	48	−	−	PROPN
ejpam-5187	234	49	bn||p	bn||p	PROPN
ejpam-5187	234	50	≤	≤	ADV
ejpam-5187	234	51	∑	∑	PUNCT
ejpam-5187	234	52	n≥0	n≥0	PROPN
ejpam-5187	234	53	[	[	X
ejpam-5187	234	54	||an	||an	NOUN
ejpam-5187	234	55	−	−	NOUN
ejpam-5187	234	56	a∗||p	a∗||p	NOUN
ejpam-5187	234	57	−	−	NUM
ejpam-5187	234	58	||an+1	||an+1	NOUN
ejpam-5187	234	59	−	−	ADP
ejpam-5187	235	1	a∗||p	a∗||p	NOUN
ejpam-5187	235	2	]	]	X
ejpam-5187	236	1	+	+	X
ejpam-5187	236	2	d2	d2	ADJ
ejpam-5187	236	3	∑	∑	ADP
ejpam-5187	236	4	n≥0	n≥0	ADJ
ejpam-5187	236	5	δn	δn	ADJ
ejpam-5187	236	6	+	+	PROPN
ejpam-5187	236	7	m	m	ADJ
ejpam-5187	236	8	∑	∑	ADJ
ejpam-5187	236	9	n≥0	n≥0	ADJ
ejpam-5187	236	10	ν	ν	NOUN
ejpam-5187	236	11	1	1	NUM
ejpam-5187	236	12	2	2	NUM
ejpam-5187	236	13	n	n	NOUN
ejpam-5187	236	14	<	<	X
ejpam-5187	236	15	∞.	∞.	PROPN
ejpam-5187	236	16	this	this	PRON
ejpam-5187	236	17	implies	imply	VERB
ejpam-5187	236	18	from	from	ADP
ejpam-5187	236	19	conditions	condition	NOUN
ejpam-5187	236	20	(	(	PUNCT
ejpam-5187	236	21	ii	ii	NOUN
ejpam-5187	236	22	)	)	PUNCT
ejpam-5187	237	1	that	that	PRON
ejpam-5187	237	2	lim	lim	PROPN
ejpam-5187	237	3	||t	||t	PROPN
ejpam-5187	237	4	nbn	nbn	PROPN
ejpam-5187	237	5	−	−	PROPN
ejpam-5187	237	6	bn||p	bn||p	PROPN
ejpam-5187	237	7	=	=	PUNCT
ejpam-5187	237	8	0	0	X
ejpam-5187	237	9	.	.	PUNCT
ejpam-5187	237	10	hence	hence	ADV
ejpam-5187	237	11	lim	lim	PROPN
ejpam-5187	237	12	||t	||t	PROPN
ejpam-5187	237	13	nbn	nbn	PROPN
ejpam-5187	237	14	−	−	PROPN
ejpam-5187	237	15	bn||	bn||	PROPN
ejpam-5187	237	16	=	=	SYM
ejpam-5187	237	17	0	0	X
ejpam-5187	237	18	.	.	PUNCT
ejpam-5187	237	19	(	(	PUNCT
ejpam-5187	237	20	8)	8)	NUM
ejpam-5187	237	21	from	from	ADP
ejpam-5187	237	22	(	(	PUNCT
ejpam-5187	237	23	5	5	NUM
ejpam-5187	237	24	)	)	PUNCT
ejpam-5187	237	25	,	,	PUNCT
ejpam-5187	237	26	(	(	PUNCT
ejpam-5187	237	27	iii	iii	NOUN
ejpam-5187	237	28	)	)	PUNCT
ejpam-5187	237	29	and	and	CCONJ
ejpam-5187	237	30	the	the	DET
ejpam-5187	237	31	fact	fact	NOUN
ejpam-5187	237	32	that	that	SCONJ
ejpam-5187	237	33	{	{	PUNCT
ejpam-5187	237	34	an	an	PRON
ejpam-5187	237	35	}	}	PUNCT
ejpam-5187	237	36	is	be	AUX
ejpam-5187	237	37	norm	norm	NOUN
ejpam-5187	237	38	bounded	bound	VERB
ejpam-5187	237	39	,	,	PUNCT
ejpam-5187	237	40	we	we	PRON
ejpam-5187	237	41	have	have	VERB
ejpam-5187	237	42	∥bn	∥bn	NOUN
ejpam-5187	237	43	−	−	NOUN
ejpam-5187	237	44	an∥	an∥	NOUN
ejpam-5187	237	45	=	=	PUNCT
ejpam-5187	237	46	νn∥an	νn∥an	PROPN
ejpam-5187	237	47	−	−	PROPN
ejpam-5187	237	48	an−1∥	an−1∥	PROPN
ejpam-5187	237	49	≤	≤	PROPN
ejpam-5187	237	50	νn[∥an∥+	νn[∥an∥+	VERB
ejpam-5187	237	51	∥an−1∥	∥an−1∥	NOUN
ejpam-5187	237	52	]	]	PUNCT
ejpam-5187	237	53	→	→	SYM
ejpam-5187	237	54	0	0	NUM
ejpam-5187	237	55	.	.	PUNCT
ejpam-5187	238	1	(	(	PUNCT
ejpam-5187	238	2	9	9	X
ejpam-5187	238	3	)	)	PUNCT
ejpam-5187	238	4	furthermore	furthermore	ADV
ejpam-5187	238	5	,	,	PUNCT
ejpam-5187	238	6	we	we	PRON
ejpam-5187	238	7	have	have	VERB
ejpam-5187	238	8	from	from	ADP
ejpam-5187	238	9	(	(	PUNCT
ejpam-5187	238	10	5	5	NUM
ejpam-5187	238	11	)	)	PUNCT
ejpam-5187	238	12	,	,	PUNCT
ejpam-5187	238	13	(	(	PUNCT
ejpam-5187	238	14	8)	8)	NUM
ejpam-5187	238	15	and	and	CCONJ
ejpam-5187	238	16	(	(	PUNCT
ejpam-5187	238	17	9	9	NUM
ejpam-5187	238	18	)	)	PUNCT
ejpam-5187	239	1	that	that	PRON
ejpam-5187	239	2	||an+1	||an+1	NOUN
ejpam-5187	239	3	−	−	PROPN
ejpam-5187	239	4	an||	an||	VERB
ejpam-5187	240	1	=	=	PUNCT
ejpam-5187	241	1	||(1−	||(1−	PROPN
ejpam-5187	241	2	ξn)(bn	ξn)(bn	NOUN
ejpam-5187	241	3	−	−	PROPN
ejpam-5187	241	4	an	an	NOUN
ejpam-5187	241	5	)	)	PUNCT
ejpam-5187	241	6	+	+	NUM
ejpam-5187	241	7	ξn(t	ξn(t	NUM
ejpam-5187	241	8	nbn	nbn	NOUN
ejpam-5187	241	9	−	−	PROPN
ejpam-5187	241	10	an)||	an)||	NOUN
ejpam-5187	241	11	≤	≤	X
ejpam-5187	241	12	(	(	PUNCT
ejpam-5187	242	1	1−	1−	NUM
ejpam-5187	242	2	ξn)∥bn	ξn)∥bn	ADP
ejpam-5187	242	3	−	−	PROPN
ejpam-5187	242	4	an∥+	an∥+	NOUN
ejpam-5187	242	5	ξn∥t	ξn∥t	X
ejpam-5187	242	6	nbn	nbn	NOUN
ejpam-5187	242	7	−	−	NOUN
ejpam-5187	242	8	an∥	an∥	NOUN
ejpam-5187	242	9	=	=	PUNCT
ejpam-5187	242	10	(	(	PUNCT
ejpam-5187	242	11	1−	1−	NUM
ejpam-5187	242	12	ξn)∥bn	ξn)∥bn	ADP
ejpam-5187	242	13	−	−	PROPN
ejpam-5187	242	14	an∥+	an∥+	NOUN
ejpam-5187	242	15	ξn∥t	ξn∥t	X
ejpam-5187	242	16	nbn	nbn	NOUN
ejpam-5187	242	17	−	−	PROPN
ejpam-5187	242	18	bn	bn	NOUN
ejpam-5187	242	19	+	+	CCONJ
ejpam-5187	242	20	bn	bn	NOUN
ejpam-5187	242	21	−	−	NOUN
ejpam-5187	242	22	an∥	an∥	NOUN
ejpam-5187	242	23	≤	≤	NUM
ejpam-5187	242	24	(	(	PUNCT
ejpam-5187	243	1	1−	1−	NUM
ejpam-5187	243	2	ξn)∥bn	ξn)∥bn	ADP
ejpam-5187	243	3	−	−	PROPN
ejpam-5187	243	4	an∥+	an∥+	NOUN
ejpam-5187	243	5	ξn[∥t	ξn[∥t	NUM
ejpam-5187	243	6	nbn	nbn	PROPN
ejpam-5187	243	7	−	−	PROPN
ejpam-5187	243	8	bn∥+	bn∥+	NOUN
ejpam-5187	243	9	∥bn	∥bn	NOUN
ejpam-5187	243	10	−	−	PROPN
ejpam-5187	243	11	an∥	an∥	NOUN
ejpam-5187	243	12	]	]	PUNCT
ejpam-5187	243	13	=	=	SYM
ejpam-5187	243	14	∥bn	∥bn	NOUN
ejpam-5187	243	15	−	−	PROPN
ejpam-5187	243	16	an∥+	an∥+	NOUN
ejpam-5187	243	17	ξn∥t	ξn∥t	PROPN
ejpam-5187	243	18	nbn	nbn	NOUN
ejpam-5187	243	19	−	−	NOUN
ejpam-5187	243	20	bn∥	bn∥	PROPN
ejpam-5187	243	21	≤	≤	NUM
ejpam-5187	243	22	∥bn	∥bn	NOUN
ejpam-5187	243	23	−	−	PROPN
ejpam-5187	243	24	an∥+	an∥+	NOUN
ejpam-5187	243	25	∥t	∥t	PROPN
ejpam-5187	243	26	nbn	nbn	NOUN
ejpam-5187	243	27	−	−	NOUN
ejpam-5187	244	1	bn∥	bn∥	NOUN
ejpam-5187	244	2	→	→	SYM
ejpam-5187	244	3	0	0	NUM
ejpam-5187	244	4	.	.	PUNCT
ejpam-5187	245	1	(	(	PUNCT
ejpam-5187	245	2	10	10	NUM
ejpam-5187	245	3	)	)	PUNCT
ejpam-5187	245	4	we	we	PRON
ejpam-5187	245	5	also	also	ADV
ejpam-5187	245	6	have	have	VERB
ejpam-5187	245	7	from	from	ADP
ejpam-5187	245	8	(	(	PUNCT
ejpam-5187	245	9	5	5	NUM
ejpam-5187	245	10	)	)	PUNCT
ejpam-5187	245	11	that	that	PRON
ejpam-5187	245	12	ξnt	ξnt	VERB
ejpam-5187	245	13	n(an	n(an	PROPN
ejpam-5187	245	14	+	+	CCONJ
ejpam-5187	246	1	νn(an	νn(an	PROPN
ejpam-5187	246	2	−	−	X
ejpam-5187	246	3	an−1))−	an−1))−	NUM
ejpam-5187	246	4	ξnan	ξnan	NOUN
ejpam-5187	246	5	=	=	SYM
ejpam-5187	246	6	an+1	an+1	NOUN
ejpam-5187	246	7	−	−	NOUN
ejpam-5187	246	8	an	an	DET
ejpam-5187	246	9	−	−	PROPN
ejpam-5187	246	10	(	(	PUNCT
ejpam-5187	246	11	1−	1−	NUM
ejpam-5187	246	12	ξn)νn(an	ξn)νn(an	NUM
ejpam-5187	246	13	−	−	PROPN
ejpam-5187	246	14	an−1	an−1	ADJ
ejpam-5187	246	15	)	)	PUNCT
ejpam-5187	246	16	⇔	⇔	PROPN
ejpam-5187	246	17	ξn[t	ξn[t	PROPN
ejpam-5187	246	18	n(an	n(an	PROPN
ejpam-5187	247	1	+	+	CCONJ
ejpam-5187	247	2	νn(an	νn(an	PROPN
ejpam-5187	247	3	−	−	X
ejpam-5187	247	4	an−1))−	an−1))−	NUM
ejpam-5187	247	5	an	an	X
ejpam-5187	247	6	]	]	X
ejpam-5187	247	7	=	=	SYM
ejpam-5187	247	8	an+1	an+1	NOUN
ejpam-5187	247	9	−	−	NOUN
ejpam-5187	247	10	an	an	DET
ejpam-5187	247	11	−	−	PROPN
ejpam-5187	247	12	(	(	PUNCT
ejpam-5187	247	13	1−	1−	NUM
ejpam-5187	247	14	ξn)νn(an	ξn)νn(an	NUM
ejpam-5187	247	15	−	−	PROPN
ejpam-5187	247	16	an−1	an−1	ADJ
ejpam-5187	247	17	)	)	PUNCT
ejpam-5187	247	18	⇔	⇔	NOUN
ejpam-5187	248	1	[	[	X
ejpam-5187	248	2	t	t	X
ejpam-5187	248	3	n(an	n(an	X
ejpam-5187	248	4	+	+	CCONJ
ejpam-5187	248	5	νn(an	νn(an	PROPN
ejpam-5187	248	6	−	−	X
ejpam-5187	248	7	an−1))−	an−1))−	PRON
ejpam-5187	248	8	an	an	X
ejpam-5187	248	9	]	]	X
ejpam-5187	248	10	=	=	SYM
ejpam-5187	248	11	1	1	NUM
ejpam-5187	248	12	ξn	ξn	NOUN
ejpam-5187	248	13	[	[	X
ejpam-5187	248	14	an+1	an+1	NOUN
ejpam-5187	248	15	−	−	NOUN
ejpam-5187	248	16	an	an	DET
ejpam-5187	248	17	−	−	PROPN
ejpam-5187	248	18	(	(	PUNCT
ejpam-5187	248	19	1−	1−	NUM
ejpam-5187	248	20	ξn)νn(an	ξn)νn(an	NUM
ejpam-5187	248	21	−	−	PROPN
ejpam-5187	248	22	an−1	an−1	ADJ
ejpam-5187	248	23	)	)	PUNCT
ejpam-5187	248	24	]	]	PUNCT
ejpam-5187	248	25	.	.	PUNCT
ejpam-5187	249	1	b.	b.	PROPN
ejpam-5187	249	2	g.	g.	PROPN
ejpam-5187	249	3	akuchu	akuchu	PROPN
ejpam-5187	249	4	et	et	PROPN
ejpam-5187	249	5	al	al	PROPN
ejpam-5187	249	6	.	.	PUNCT
ejpam-5187	249	7	/	/	SYM
ejpam-5187	249	8	eur	eur	PROPN
ejpam-5187	249	9	.	.	PUNCT
ejpam-5187	250	1	j.	j.	PROPN
ejpam-5187	250	2	pure	pure	PROPN
ejpam-5187	250	3	appl	appl	PROPN
ejpam-5187	250	4	.	.	PROPN
ejpam-5187	250	5	math	math	PROPN
ejpam-5187	250	6	,	,	PUNCT
ejpam-5187	250	7	17	17	NUM
ejpam-5187	250	8	(	(	PUNCT
ejpam-5187	250	9	3	3	NUM
ejpam-5187	250	10	)	)	PUNCT
ejpam-5187	250	11	(	(	PUNCT
ejpam-5187	250	12	2024	2024	NUM
ejpam-5187	250	13	)	)	PUNCT
ejpam-5187	250	14	,	,	PUNCT
ejpam-5187	250	15	1602	1602	NUM
ejpam-5187	250	16	-	-	SYM
ejpam-5187	250	17	1617	1617	NUM
ejpam-5187	250	18	1611	1611	NUM
ejpam-5187	250	19	this	this	PRON
ejpam-5187	250	20	implies	imply	VERB
ejpam-5187	250	21	∥t	∥t	ADJ
ejpam-5187	250	22	n(an	n(an	ADJ
ejpam-5187	250	23	+	+	CCONJ
ejpam-5187	250	24	νn(an	νn(an	PROPN
ejpam-5187	250	25	−	−	X
ejpam-5187	250	26	an−1))−	an−1))−	NUM
ejpam-5187	250	27	an∥	an∥	NOUN
ejpam-5187	250	28	=	=	SYM
ejpam-5187	250	29	1	1	NUM
ejpam-5187	250	30	ξn	ξn	NOUN
ejpam-5187	250	31	∥[an+1	∥[an+1	NOUN
ejpam-5187	250	32	−	−	PROPN
ejpam-5187	250	33	an	an	DET
ejpam-5187	250	34	−	−	PROPN
ejpam-5187	251	1	(	(	PUNCT
ejpam-5187	251	2	1−	1−	NUM
ejpam-5187	251	3	ξn)νn(an	ξn)νn(an	NUM
ejpam-5187	251	4	−	−	PROPN
ejpam-5187	252	1	an−1)]∥	an−1)]∥	PROPN
ejpam-5187	252	2	≤	≤	NUM
ejpam-5187	252	3	1	1	NUM
ejpam-5187	252	4	ξn	ξn	NOUN
ejpam-5187	252	5	[	[	X
ejpam-5187	252	6	∥an+1	∥an+1	NOUN
ejpam-5187	252	7	−	−	NOUN
ejpam-5187	252	8	an∥+	an∥+	NOUN
ejpam-5187	252	9	∥(1−	∥(1−	NUM
ejpam-5187	253	1	ξn)νn(an	ξn)νn(an	NUM
ejpam-5187	253	2	−	−	NOUN
ejpam-5187	253	3	an−1)∥	an−1)∥	ADP
ejpam-5187	253	4	]	]	X
ejpam-5187	253	5	=	=	SYM
ejpam-5187	253	6	1	1	NUM
ejpam-5187	253	7	ξn	ξn	NOUN
ejpam-5187	254	1	[	[	X
ejpam-5187	254	2	∥an+1	∥an+1	X
ejpam-5187	254	3	−	−	NOUN
ejpam-5187	254	4	an∥+	an∥+	NOUN
ejpam-5187	254	5	(	(	PUNCT
ejpam-5187	254	6	1−	1−	NUM
ejpam-5187	254	7	ξn)νn∥an	ξn)νn∥an	NOUN
ejpam-5187	254	8	−	−	PROPN
ejpam-5187	255	1	an−1∥	an−1∥	PROPN
ejpam-5187	255	2	]	]	PUNCT
ejpam-5187	255	3	≤	≤	NUM
ejpam-5187	255	4	1	1	NUM
ejpam-5187	255	5	ξn	ξn	NOUN
ejpam-5187	255	6	[	[	X
ejpam-5187	255	7	∥an+1	∥an+1	X
ejpam-5187	255	8	−	−	NOUN
ejpam-5187	255	9	an∥+	an∥+	NOUN
ejpam-5187	255	10	νn∥an	νn∥an	PROPN
ejpam-5187	255	11	−	−	PROPN
ejpam-5187	255	12	an−1∥	an−1∥	PROPN
ejpam-5187	255	13	]	]	PUNCT
ejpam-5187	255	14	.	.	PUNCT
ejpam-5187	256	1	since	since	SCONJ
ejpam-5187	256	2	t	t	PROPN
ejpam-5187	256	3	is	be	AUX
ejpam-5187	256	4	uniformly	uniformly	ADV
ejpam-5187	256	5	l	l	NOUN
ejpam-5187	256	6	-	-	NOUN
ejpam-5187	256	7	lipschitzian(and	lipschitzian(and	NOUN
ejpam-5187	256	8	hence	hence	ADV
ejpam-5187	256	9	t	t	PROPN
ejpam-5187	256	10	n	n	NUM
ejpam-5187	256	11	is	be	AUX
ejpam-5187	256	12	continuous	continuous	ADJ
ejpam-5187	256	13	)	)	PUNCT
ejpam-5187	256	14	,	,	PUNCT
ejpam-5187	256	15	{	{	PUNCT
ejpam-5187	256	16	an	an	PRON
ejpam-5187	256	17	}	}	PUNCT
ejpam-5187	256	18	is	be	AUX
ejpam-5187	256	19	norm	norm	NOUN
ejpam-5187	256	20	bounded	bound	VERB
ejpam-5187	256	21	,	,	PUNCT
ejpam-5187	256	22	using	use	VERB
ejpam-5187	256	23	(	(	PUNCT
ejpam-5187	256	24	10	10	NUM
ejpam-5187	256	25	)	)	PUNCT
ejpam-5187	256	26	,	,	PUNCT
ejpam-5187	256	27	conditions	condition	NOUN
ejpam-5187	256	28	(	(	PUNCT
ejpam-5187	256	29	ii	ii	NOUN
ejpam-5187	256	30	)	)	PUNCT
ejpam-5187	256	31	and	and	CCONJ
ejpam-5187	256	32	(	(	PUNCT
ejpam-5187	256	33	iii	iii	NOUN
ejpam-5187	256	34	)	)	PUNCT
ejpam-5187	256	35	,	,	PUNCT
ejpam-5187	256	36	this	this	PRON
ejpam-5187	256	37	yields	yield	VERB
ejpam-5187	256	38	lim	lim	PROPN
ejpam-5187	256	39	∥t	∥t	PROPN
ejpam-5187	257	1	nan	nan	PROPN
ejpam-5187	258	1	−	−	PROPN
ejpam-5187	258	2	an∥	an∥	PROPN
ejpam-5187	258	3	=	=	SYM
ejpam-5187	258	4	0	0	X
ejpam-5187	258	5	.	.	PUNCT
ejpam-5187	259	1	(	(	PUNCT
ejpam-5187	259	2	11	11	NUM
ejpam-5187	259	3	)	)	PUNCT
ejpam-5187	259	4	using	use	VERB
ejpam-5187	259	5	(	(	PUNCT
ejpam-5187	259	6	10	10	NUM
ejpam-5187	259	7	)	)	PUNCT
ejpam-5187	259	8	and	and	CCONJ
ejpam-5187	259	9	(	(	PUNCT
ejpam-5187	259	10	11	11	NUM
ejpam-5187	259	11	)	)	PUNCT
ejpam-5187	259	12	,	,	PUNCT
ejpam-5187	259	13	we	we	PRON
ejpam-5187	259	14	now	now	ADV
ejpam-5187	259	15	have	have	VERB
ejpam-5187	259	16	||an	||an	NOUN
ejpam-5187	259	17	−	−	PROPN
ejpam-5187	259	18	t	t	NOUN
ejpam-5187	259	19	an||	an||	PUNCT
ejpam-5187	260	1	=	=	PUNCT
ejpam-5187	260	2	∥an	∥an	PROPN
ejpam-5187	261	1	−	−	NOUN
ejpam-5187	261	2	an+1	an+1	NOUN
ejpam-5187	262	1	+	+	SYM
ejpam-5187	262	2	an+1	an+1	NOUN
ejpam-5187	262	3	−	−	PROPN
ejpam-5187	262	4	t	t	PROPN
ejpam-5187	262	5	n+1an+1	n+1an+1	NUM
ejpam-5187	262	6	+	+	CCONJ
ejpam-5187	262	7	t	t	PROPN
ejpam-5187	262	8	n+1an+1	n+1an+1	NUM
ejpam-5187	262	9	−	−	PROPN
ejpam-5187	262	10	t	t	NOUN
ejpam-5187	262	11	an∥	an∥	NOUN
ejpam-5187	262	12	≤	≤	NUM
ejpam-5187	262	13	∥an	∥an	ADP
ejpam-5187	263	1	−	−	PROPN
ejpam-5187	263	2	an+1∥+	an+1∥+	PRON
ejpam-5187	263	3	∥t	∥t	PROPN
ejpam-5187	263	4	n+1an+1	n+1an+1	NUM
ejpam-5187	263	5	−	−	NOUN
ejpam-5187	263	6	an+1∥+	an+1∥+	PROPN
ejpam-5187	263	7	l∥t	l∥t	NOUN
ejpam-5187	263	8	nan+1	nan+1	PROPN
ejpam-5187	264	1	−	−	PROPN
ejpam-5187	264	2	an∥	an∥	PROPN
ejpam-5187	264	3	=	=	SYM
ejpam-5187	264	4	∥an	∥an	PROPN
ejpam-5187	264	5	−	−	PROPN
ejpam-5187	264	6	an+1∥+	an+1∥+	NUM
ejpam-5187	264	7	∥t	∥t	PROPN
ejpam-5187	264	8	n+1an+1	n+1an+1	NUM
ejpam-5187	264	9	−	−	NOUN
ejpam-5187	264	10	an+1∥+	an+1∥+	PROPN
ejpam-5187	264	11	l∥t	l∥t	NOUN
ejpam-5187	264	12	nan+1	nan+1	PROPN
ejpam-5187	265	1	−	−	PROPN
ejpam-5187	265	2	t	t	PROPN
ejpam-5187	265	3	nan	nan	PROPN
ejpam-5187	266	1	+	+	PROPN
ejpam-5187	266	2	t	t	PROPN
ejpam-5187	266	3	nan	nan	PROPN
ejpam-5187	266	4	−	−	PROPN
ejpam-5187	266	5	an∥	an∥	PROPN
ejpam-5187	266	6	≤	≤	NUM
ejpam-5187	266	7	∥an	∥an	ADP
ejpam-5187	267	1	−	−	PROPN
ejpam-5187	267	2	an+1∥+	an+1∥+	PRON
ejpam-5187	267	3	∥t	∥t	PROPN
ejpam-5187	267	4	n+1an+1	n+1an+1	NUM
ejpam-5187	268	1	−	−	NOUN
ejpam-5187	268	2	an+1∥+	an+1∥+	PROPN
ejpam-5187	268	3	l[∥t	l[∥t	PROPN
ejpam-5187	268	4	nan+1	nan+1	PROPN
ejpam-5187	268	5	−	−	PROPN
ejpam-5187	268	6	t	t	PROPN
ejpam-5187	268	7	nan∥+	nan∥+	NOUN
ejpam-5187	269	1	∥t	∥t	PROPN
ejpam-5187	269	2	nan	nan	PROPN
ejpam-5187	269	3	−	−	PROPN
ejpam-5187	269	4	an∥	an∥	PROPN
ejpam-5187	269	5	]	]	PUNCT
ejpam-5187	269	6	≤	≤	NUM
ejpam-5187	270	1	∥an	∥an	NUM
ejpam-5187	271	1	−	−	PROPN
ejpam-5187	271	2	an+1∥+	an+1∥+	NUM
ejpam-5187	271	3	∥t	∥t	PROPN
ejpam-5187	271	4	n+1an+1	n+1an+1	NUM
ejpam-5187	271	5	−	−	ADP
ejpam-5187	271	6	an+1∥+	an+1∥+	PROPN
ejpam-5187	271	7	l2∥an+1	l2∥an+1	PUNCT
ejpam-5187	271	8	−	−	NOUN
ejpam-5187	271	9	an∥+	an∥+	NOUN
ejpam-5187	271	10	l∥t	l∥t	VERB
ejpam-5187	271	11	nan	nan	PROPN
ejpam-5187	272	1	−	−	PROPN
ejpam-5187	272	2	an∥	an∥	PROPN
ejpam-5187	272	3	=	=	PUNCT
ejpam-5187	272	4	(	(	PUNCT
ejpam-5187	272	5	1	1	NUM
ejpam-5187	272	6	+	+	CCONJ
ejpam-5187	273	1	l2)∥an+1	l2)∥an+1	AUX
ejpam-5187	273	2	−	−	NOUN
ejpam-5187	273	3	an∥+	an∥+	NOUN
ejpam-5187	273	4	∥t	∥t	ADJ
ejpam-5187	273	5	n+1an+1	n+1an+1	ADJ
ejpam-5187	273	6	−	−	NOUN
ejpam-5187	273	7	an+1∥+	an+1∥+	PROPN
ejpam-5187	273	8	l∥t	l∥t	PROPN
ejpam-5187	273	9	nan	nan	PROPN
ejpam-5187	274	1	−	−	PROPN
ejpam-5187	274	2	an∥	an∥	PROPN
ejpam-5187	274	3	→	→	SYM
ejpam-5187	274	4	0	0	NUM
ejpam-5187	274	5	.	.	PUNCT
ejpam-5187	275	1	(	(	PUNCT
ejpam-5187	275	2	12	12	NUM
ejpam-5187	275	3	)	)	PUNCT
ejpam-5187	275	4	since	since	SCONJ
ejpam-5187	275	5	{	{	PUNCT
ejpam-5187	275	6	an	an	PRON
ejpam-5187	275	7	}	}	PUNCT
ejpam-5187	275	8	is	be	AUX
ejpam-5187	275	9	norm	norm	NOUN
ejpam-5187	275	10	bounded	bound	VERB
ejpam-5187	275	11	,	,	PUNCT
ejpam-5187	275	12	it	it	PRON
ejpam-5187	275	13	possesses	possess	VERB
ejpam-5187	275	14	a	a	DET
ejpam-5187	275	15	subsequence	subsequence	NOUN
ejpam-5187	275	16	{	{	PUNCT
ejpam-5187	275	17	ank	ank	PROPN
ejpam-5187	275	18	}	}	PUNCT
ejpam-5187	275	19	which	which	PRON
ejpam-5187	275	20	converges	converge	VERB
ejpam-5187	275	21	weakly	weakly	ADJ
ejpam-5187	275	22	to	to	ADP
ejpam-5187	275	23	a	a	DET
ejpam-5187	275	24	point	point	NOUN
ejpam-5187	275	25	u	u	NOUN
ejpam-5187	275	26	∈	∈	PROPN
ejpam-5187	275	27	x	x	X
ejpam-5187	275	28	.	.	PUNCT
ejpam-5187	276	1	since	since	SCONJ
ejpam-5187	276	2	x	x	PRON
ejpam-5187	276	3	satisfies	satisfy	VERB
ejpam-5187	276	4	the	the	DET
ejpam-5187	276	5	opial	opial	ADJ
ejpam-5187	276	6	condition	condition	NOUN
ejpam-5187	276	7	,	,	PUNCT
ejpam-5187	276	8	a	a	DET
ejpam-5187	276	9	standard	standard	ADJ
ejpam-5187	276	10	argument	argument	NOUN
ejpam-5187	276	11	(	(	PUNCT
ejpam-5187	276	12	see	see	VERB
ejpam-5187	276	13	e.g	e.g	PROPN
ejpam-5187	277	1	[	[	X
ejpam-5187	277	2	18	18	NUM
ejpam-5187	277	3	]	]	SYM
ejpam-5187	277	4	)	)	PUNCT
ejpam-5187	277	5	yields	yield	NOUN
ejpam-5187	277	6	that	that	SCONJ
ejpam-5187	277	7	{	{	PUNCT
ejpam-5187	277	8	an	an	PRON
ejpam-5187	277	9	}	}	PUNCT
ejpam-5187	277	10	converges	converge	VERB
ejpam-5187	277	11	weakly	weakly	ADJ
ejpam-5187	277	12	to	to	ADP
ejpam-5187	277	13	∈	∈	PROPN
ejpam-5187	277	14	x	x	X
ejpam-5187	277	15	.	.	PUNCT
ejpam-5187	278	1	the	the	DET
ejpam-5187	278	2	demiclosedness	demiclosedness	NOUN
ejpam-5187	278	3	property	property	NOUN
ejpam-5187	278	4	of	of	ADP
ejpam-5187	278	5	t	t	PROPN
ejpam-5187	278	6	(	(	PUNCT
ejpam-5187	278	7	see	see	VERB
ejpam-5187	278	8	lemma	lemma	PROPN
ejpam-5187	278	9	1	1	NUM
ejpam-5187	278	10	now	now	ADV
ejpam-5187	278	11	yields	yield	VERB
ejpam-5187	278	12	that	that	SCONJ
ejpam-5187	278	13	u	u	PROPN
ejpam-5187	278	14	∈	∈	PROPN
ejpam-5187	278	15	f	f	X
ejpam-5187	278	16	(	(	PUNCT
ejpam-5187	278	17	t	t	PROPN
ejpam-5187	278	18	)	)	PUNCT
ejpam-5187	278	19	.	.	PUNCT
ejpam-5187	279	1	setting	set	VERB
ejpam-5187	279	2	u	u	NOUN
ejpam-5187	279	3	=	=	NOUN
ejpam-5187	279	4	a∗	a∗	PROPN
ejpam-5187	279	5	above	above	ADV
ejpam-5187	279	6	,	,	PUNCT
ejpam-5187	279	7	our	our	PRON
ejpam-5187	279	8	proof	proof	NOUN
ejpam-5187	279	9	is	be	AUX
ejpam-5187	279	10	complete	complete	ADJ
ejpam-5187	279	11	.	.	PUNCT
ejpam-5187	280	1	theorem	theorem	NOUN
ejpam-5187	280	2	5	5	NUM
ejpam-5187	280	3	.	.	PUNCT
ejpam-5187	281	1	let	let	VERB
ejpam-5187	281	2	h	h	PRON
ejpam-5187	281	3	be	be	AUX
ejpam-5187	281	4	a	a	DET
ejpam-5187	281	5	real	real	ADJ
ejpam-5187	281	6	hilbert	hilbert	NOUN
ejpam-5187	281	7	space	space	NOUN
ejpam-5187	281	8	and	and	CCONJ
ejpam-5187	281	9	let	let	VERB
ejpam-5187	281	10	t	t	NOUN
ejpam-5187	281	11	:	:	PUNCT
ejpam-5187	281	12	h	h	PROPN
ejpam-5187	281	13	→	→	PUNCT
ejpam-5187	281	14	h	h	NOUN
ejpam-5187	281	15	be	be	AUX
ejpam-5187	281	16	an	an	DET
ejpam-5187	281	17	asymptotically	asymptotically	ADV
ejpam-5187	281	18	nonexpansive	nonexpansive	ADJ
ejpam-5187	281	19	mapping	mapping	NOUN
ejpam-5187	281	20	with	with	ADP
ejpam-5187	281	21	a	a	DET
ejpam-5187	281	22	non	non	ADJ
ejpam-5187	281	23	-	-	ADJ
ejpam-5187	281	24	empty	empty	ADJ
ejpam-5187	281	25	fixed	fix	VERB
ejpam-5187	281	26	points	point	NOUN
ejpam-5187	281	27	set	set	VERB
ejpam-5187	281	28	f	f	PROPN
ejpam-5187	281	29	(	(	PUNCT
ejpam-5187	281	30	t	t	PROPN
ejpam-5187	281	31	)	)	PUNCT
ejpam-5187	281	32	and	and	CCONJ
ejpam-5187	281	33	sequence	sequence	NOUN
ejpam-5187	281	34	{	{	PUNCT
ejpam-5187	281	35	κn	κn	NOUN
ejpam-5187	281	36	}	}	PUNCT
ejpam-5187	281	37	⊂	⊂	PROPN
ejpam-5187	282	1	[	[	X
ejpam-5187	282	2	1,+∞	1,+∞	NUM
ejpam-5187	282	3	)	)	PUNCT
ejpam-5187	282	4	,	,	PUNCT
ejpam-5187	282	5	such	such	ADJ
ejpam-5187	282	6	that	that	SCONJ
ejpam-5187	282	7	∑	∑	ADP
ejpam-5187	282	8	n→∞	n→∞	NUM
ejpam-5187	282	9	κn	κn	NOUN
ejpam-5187	282	10	−	−	PROPN
ejpam-5187	282	11	1	1	NUM
ejpam-5187	282	12	<	<	X
ejpam-5187	282	13	+	+	NOUN
ejpam-5187	282	14	∞.	∞.	PROPN
ejpam-5187	282	15	then	then	ADV
ejpam-5187	282	16	the	the	DET
ejpam-5187	282	17	modified	modified	ADJ
ejpam-5187	282	18	inertial	inertial	ADJ
ejpam-5187	282	19	krasnosel’skii	krasnosel’skii	PROPN
ejpam-5187	282	20	-	-	PUNCT
ejpam-5187	282	21	mann	mann	PROPN
ejpam-5187	282	22	sequence	sequence	NOUN
ejpam-5187	282	23	{	{	PUNCT
ejpam-5187	282	24	an	an	PRON
ejpam-5187	282	25	}	}	PUNCT
ejpam-5187	282	26	generated	generate	VERB
ejpam-5187	282	27	from	from	ADP
ejpam-5187	282	28	a0	a0	NOUN
ejpam-5187	282	29	,	,	PUNCT
ejpam-5187	282	30	a1	a1	NOUN
ejpam-5187	282	31	∈	∈	PROPN
ejpam-5187	282	32	h	h	NOUN
ejpam-5187	282	33	by	by	ADP
ejpam-5187	282	34	{	{	PUNCT
ejpam-5187	282	35	bn	bn	NOUN
ejpam-5187	282	36	=	=	SYM
ejpam-5187	282	37	an	an	PRON
ejpam-5187	283	1	+	+	NUM
ejpam-5187	283	2	νn(an	νn(an	PROPN
ejpam-5187	283	3	−	−	X
ejpam-5187	283	4	an−1	an−1	ADJ
ejpam-5187	283	5	)	)	PUNCT
ejpam-5187	283	6	an+1	an+1	NOUN
ejpam-5187	283	7	=	=	SYM
ejpam-5187	283	8	(	(	PUNCT
ejpam-5187	283	9	1−	1−	NUM
ejpam-5187	283	10	ξn)bn	ξn)bn	NUM
ejpam-5187	284	1	+	+	NUM
ejpam-5187	284	2	ξnt	ξnt	PROPN
ejpam-5187	284	3	nbn	nbn	PROPN
ejpam-5187	284	4	,	,	PUNCT
ejpam-5187	284	5	n	n	NOUN
ejpam-5187	284	6	=	=	SYM
ejpam-5187	284	7	1	1	NUM
ejpam-5187	284	8	,	,	PUNCT
ejpam-5187	284	9	2	2	NUM
ejpam-5187	284	10	,	,	PUNCT
ejpam-5187	284	11	...	...	PUNCT
ejpam-5187	284	12	where	where	SCONJ
ejpam-5187	284	13	{	{	PUNCT
ejpam-5187	284	14	ξn	ξn	NOUN
ejpam-5187	284	15	}	}	PUNCT
ejpam-5187	284	16	and	and	CCONJ
ejpam-5187	284	17	{	{	PUNCT
ejpam-5187	284	18	nun	nun	NOUN
ejpam-5187	284	19	}	}	PUNCT
ejpam-5187	284	20	are	be	AUX
ejpam-5187	284	21	real	real	ADJ
ejpam-5187	284	22	sequences	sequence	NOUN
ejpam-5187	284	23	in	in	ADP
ejpam-5187	284	24	(	(	PUNCT
ejpam-5187	284	25	0	0	NUM
ejpam-5187	284	26	,	,	PUNCT
ejpam-5187	284	27	1	1	NUM
ejpam-5187	284	28	)	)	PUNCT
ejpam-5187	284	29	,	,	PUNCT
ejpam-5187	284	30	satisfying	satisfy	VERB
ejpam-5187	284	31	:	:	PUNCT
ejpam-5187	284	32	(	(	PUNCT
ejpam-5187	284	33	i	i	NOUN
ejpam-5187	284	34	)	)	PUNCT
ejpam-5187	284	35	0	0	PUNCT
ejpam-5187	285	1	<	<	X
ejpam-5187	285	2	α1	α1	PROPN
ejpam-5187	285	3	≤	≤	NUM
ejpam-5187	285	4	ξn	ξn	PROPN
ejpam-5187	285	5	≤	≤	ADJ
ejpam-5187	285	6	α2	α2	NOUN
ejpam-5187	285	7	<	<	X
ejpam-5187	285	8	1	1	NUM
ejpam-5187	285	9	for	for	ADP
ejpam-5187	285	10	some	some	DET
ejpam-5187	285	11	real	real	ADJ
ejpam-5187	285	12	constants	constant	NOUN
ejpam-5187	285	13	α1	α1	PROPN
ejpam-5187	285	14	,	,	PUNCT
ejpam-5187	285	15	α2	α2	PROPN
ejpam-5187	285	16	∈	∈	PROPN
ejpam-5187	285	17	(	(	PUNCT
ejpam-5187	285	18	0	0	NUM
ejpam-5187	285	19	,	,	PUNCT
ejpam-5187	285	20	1	1	NUM
ejpam-5187	285	21	)	)	PUNCT
ejpam-5187	285	22	,	,	PUNCT
ejpam-5187	285	23	(	(	PUNCT
ejpam-5187	285	24	ii	ii	NOUN
ejpam-5187	285	25	)	)	PUNCT
ejpam-5187	285	26	∑	∑	PUNCT
ejpam-5187	285	27	νn	νn	VERB
ejpam-5187	285	28	<	<	X
ejpam-5187	285	29	+	+	PROPN
ejpam-5187	285	30	∞	∞	PROPN
ejpam-5187	285	31	(	(	PUNCT
ejpam-5187	285	32	iii	iii	NOUN
ejpam-5187	285	33	)	)	PUNCT
ejpam-5187	285	34	∑	∑	PROPN
ejpam-5187	285	35	νn∥an	νn∥an	PROPN
ejpam-5187	285	36	−	−	PROPN
ejpam-5187	285	37	an−1∥2	an−1∥2	PROPN
ejpam-5187	285	38	<	<	X
ejpam-5187	286	1	+	+	PROPN
ejpam-5187	286	2	∞	∞	PROPN
ejpam-5187	286	3	b.	b.	PROPN
ejpam-5187	286	4	g.	g.	PROPN
ejpam-5187	286	5	akuchu	akuchu	PROPN
ejpam-5187	286	6	et	et	PROPN
ejpam-5187	286	7	al	al	PROPN
ejpam-5187	286	8	.	.	PUNCT
ejpam-5187	286	9	/	/	SYM
ejpam-5187	286	10	eur	eur	PROPN
ejpam-5187	286	11	.	.	PUNCT
ejpam-5187	287	1	j.	j.	PROPN
ejpam-5187	287	2	pure	pure	PROPN
ejpam-5187	287	3	appl	appl	PROPN
ejpam-5187	287	4	.	.	PROPN
ejpam-5187	287	5	math	math	PROPN
ejpam-5187	287	6	,	,	PUNCT
ejpam-5187	287	7	17	17	NUM
ejpam-5187	287	8	(	(	PUNCT
ejpam-5187	287	9	3	3	NUM
ejpam-5187	287	10	)	)	PUNCT
ejpam-5187	287	11	(	(	PUNCT
ejpam-5187	287	12	2024	2024	NUM
ejpam-5187	287	13	)	)	PUNCT
ejpam-5187	287	14	,	,	PUNCT
ejpam-5187	287	15	1602	1602	NUM
ejpam-5187	287	16	-	-	SYM
ejpam-5187	287	17	1617	1617	NUM
ejpam-5187	287	18	1612	1612	NUM
ejpam-5187	287	19	converges	converge	VERB
ejpam-5187	287	20	weakly	weakly	ADV
ejpam-5187	287	21	to	to	ADP
ejpam-5187	287	22	a	a	DET
ejpam-5187	287	23	fixed	fix	VERB
ejpam-5187	287	24	point	point	NOUN
ejpam-5187	287	25	of	of	ADP
ejpam-5187	287	26	t	t	PROPN
ejpam-5187	287	27	.	.	PUNCT
ejpam-5187	288	1	proof	proof	NOUN
ejpam-5187	288	2	.	.	PUNCT
ejpam-5187	289	1	since	since	SCONJ
ejpam-5187	289	2	κn	κn	NOUN
ejpam-5187	289	3	→	→	SYM
ejpam-5187	289	4	1	1	NUM
ejpam-5187	289	5	,	,	PUNCT
ejpam-5187	289	6	there	there	PRON
ejpam-5187	289	7	exists	exist	VERB
ejpam-5187	289	8	a	a	DET
ejpam-5187	289	9	real	real	ADJ
ejpam-5187	289	10	constantm1	constantm1	NOUN
ejpam-5187	289	11	>	>	X
ejpam-5187	289	12	0	0	NUM
ejpam-5187	290	1	such	such	ADJ
ejpam-5187	290	2	that	that	DET
ejpam-5187	290	3	κn+1	κn+1	PROPN
ejpam-5187	290	4	≤m1	≤m1	PROPN
ejpam-5187	290	5	,	,	PUNCT
ejpam-5187	290	6	∀	∀	X
ejpam-5187	290	7	n	n	DET
ejpam-5187	290	8	≥	≥	NOUN
ejpam-5187	290	9	1	1	NUM
ejpam-5187	290	10	.	.	PUNCT
ejpam-5187	291	1	let	let	VERB
ejpam-5187	291	2	z	z	NOUN
ejpam-5187	291	3	∈	∈	PROPN
ejpam-5187	291	4	f	f	X
ejpam-5187	291	5	(	(	PUNCT
ejpam-5187	291	6	t	t	PROPN
ejpam-5187	291	7	)	)	PUNCT
ejpam-5187	291	8	.	.	PUNCT
ejpam-5187	292	1	using	use	VERB
ejpam-5187	292	2	(	(	PUNCT
ejpam-5187	292	3	5	5	NUM
ejpam-5187	292	4	)	)	PUNCT
ejpam-5187	292	5	and	and	CCONJ
ejpam-5187	292	6	the	the	DET
ejpam-5187	292	7	well	well	ADV
ejpam-5187	292	8	-	-	PUNCT
ejpam-5187	292	9	known	know	VERB
ejpam-5187	292	10	identity	identity	NOUN
ejpam-5187	292	11	||(1−	||(1−	ADP
ejpam-5187	292	12	λ)a+	λ)a+	NOUN
ejpam-5187	292	13	λb||2	λb||2	NOUN
ejpam-5187	292	14	=	=	SYM
ejpam-5187	292	15	(	(	PUNCT
ejpam-5187	292	16	1−	1−	NUM
ejpam-5187	292	17	λ)||a||2	λ)||a||2	PROPN
ejpam-5187	292	18	+	+	CCONJ
ejpam-5187	292	19	λ||b||2	λ||b||2	ADJ
ejpam-5187	292	20	−	−	PROPN
ejpam-5187	292	21	λ(1−	λ(1−	NOUN
ejpam-5187	292	22	λ)||a−	λ)||a−	NOUN
ejpam-5187	292	23	b||2	b||2	NOUN
ejpam-5187	292	24	which	which	PRON
ejpam-5187	292	25	holds	hold	VERB
ejpam-5187	292	26	in	in	ADP
ejpam-5187	292	27	hilbert	hilbert	PROPN
ejpam-5187	292	28	spaces	space	NOUN
ejpam-5187	292	29	h	h	NOUN
ejpam-5187	292	30	,	,	PUNCT
ejpam-5187	292	31	∀a	∀a	PROPN
ejpam-5187	292	32	,	,	PUNCT
ejpam-5187	292	33	b	b	X
ejpam-5187	292	34	∈	∈	PROPN
ejpam-5187	292	35	h	h	NOUN
ejpam-5187	292	36	and	and	CCONJ
ejpam-5187	292	37	∀λ	∀λ	NUM
ejpam-5187	292	38	∈	∈	PROPN
ejpam-5187	293	1	[	[	X
ejpam-5187	293	2	0	0	NUM
ejpam-5187	293	3	,	,	PUNCT
ejpam-5187	293	4	1	1	NUM
ejpam-5187	293	5	]	]	PUNCT
ejpam-5187	293	6	,	,	PUNCT
ejpam-5187	293	7	we	we	PRON
ejpam-5187	293	8	have	have	VERB
ejpam-5187	293	9	||an+1	||an+1	NOUN
ejpam-5187	293	10	−	−	PROPN
ejpam-5187	293	11	z||2	z||2	PROPN
ejpam-5187	293	12	=	=	PUNCT
ejpam-5187	294	1	||(1−	||(1−	PROPN
ejpam-5187	294	2	ξn)bn	ξn)bn	SYM
ejpam-5187	294	3	+	+	NUM
ejpam-5187	294	4	ξnt	ξnt	PROPN
ejpam-5187	294	5	nbn	nbn	NOUN
ejpam-5187	294	6	−	−	PROPN
ejpam-5187	294	7	z||2	z||2	PROPN
ejpam-5187	294	8	=	=	PUNCT
ejpam-5187	294	9	||(1−	||(1−	PROPN
ejpam-5187	294	10	ξn)(bn	ξn)(bn	PROPN
ejpam-5187	294	11	−	−	PROPN
ejpam-5187	294	12	z	z	NOUN
ejpam-5187	294	13	)	)	PUNCT
ejpam-5187	295	1	+	+	CCONJ
ejpam-5187	295	2	ξn(t	ξn(t	NUM
ejpam-5187	295	3	nbn	nbn	NOUN
ejpam-5187	295	4	−	−	PROPN
ejpam-5187	295	5	z)||2	z)||2	PROPN
ejpam-5187	295	6	=	=	SYM
ejpam-5187	295	7	(	(	PUNCT
ejpam-5187	295	8	1−	1−	NUM
ejpam-5187	295	9	ξn)||(bn	ξn)||(bn	PROPN
ejpam-5187	295	10	−	−	PROPN
ejpam-5187	295	11	z)||2	z)||2	PROPN
ejpam-5187	295	12	+	+	CCONJ
ejpam-5187	295	13	ξn||t	ξn||t	ADJ
ejpam-5187	295	14	nbn	nbn	NOUN
ejpam-5187	295	15	−	−	PROPN
ejpam-5187	295	16	z||2	z||2	PROPN
ejpam-5187	295	17	−	−	PROPN
ejpam-5187	295	18	ξn(1−	ξn(1−	PROPN
ejpam-5187	295	19	ξn)||t	ξn)||t	NOUN
ejpam-5187	295	20	nbn	nbn	PROPN
ejpam-5187	295	21	−	−	PROPN
ejpam-5187	295	22	bn||2	bn||2	PROPN
ejpam-5187	295	23	≤	≤	NUM
ejpam-5187	295	24	(	(	PUNCT
ejpam-5187	295	25	1−	1−	NUM
ejpam-5187	295	26	ξn)||bn	ξn)||bn	PROPN
ejpam-5187	295	27	−	−	PROPN
ejpam-5187	295	28	z||2	z||2	PROPN
ejpam-5187	295	29	+	+	CCONJ
ejpam-5187	295	30	ξnκ	ξnκ	NOUN
ejpam-5187	295	31	2	2	NUM
ejpam-5187	295	32	n||bn	n||bn	NOUN
ejpam-5187	295	33	−	−	PROPN
ejpam-5187	295	34	z||2	z||2	NOUN
ejpam-5187	295	35	−	−	PROPN
ejpam-5187	295	36	ξn(1−	ξn(1−	PROPN
ejpam-5187	295	37	ξn)||t	ξn)||t	NOUN
ejpam-5187	295	38	nbn	nbn	PROPN
ejpam-5187	295	39	−	−	PROPN
ejpam-5187	295	40	bn||2	bn||2	PROPN
ejpam-5187	295	41	=	=	SYM
ejpam-5187	296	1	[	[	X
ejpam-5187	296	2	1	1	NUM
ejpam-5187	296	3	+	+	CCONJ
ejpam-5187	296	4	ξn(κ	ξn(κ	NUM
ejpam-5187	296	5	2	2	NUM
ejpam-5187	296	6	n	n	NUM
ejpam-5187	296	7	−	−	PROPN
ejpam-5187	296	8	1)]||bn	1)]||bn	NOUN
ejpam-5187	296	9	−	−	PROPN
ejpam-5187	296	10	z||2	z||2	PROPN
ejpam-5187	296	11	−	−	PROPN
ejpam-5187	297	1	ξn(1−	ξn(1−	PROPN
ejpam-5187	297	2	ξn)||t	ξn)||t	NOUN
ejpam-5187	297	3	nbn	nbn	PROPN
ejpam-5187	297	4	−	−	PROPN
ejpam-5187	297	5	bn||2	bn||2	PROPN
ejpam-5187	297	6	=	=	SYM
ejpam-5187	298	1	[	[	X
ejpam-5187	298	2	1	1	NUM
ejpam-5187	298	3	+	+	CCONJ
ejpam-5187	298	4	ξn(κ	ξn(κ	NUM
ejpam-5187	298	5	2	2	NUM
ejpam-5187	298	6	n	n	NUM
ejpam-5187	298	7	−	−	PROPN
ejpam-5187	298	8	1)]||(1	1)]||(1	PROPN
ejpam-5187	298	9	+	+	CCONJ
ejpam-5187	298	10	νn)an	νn)an	PUNCT
ejpam-5187	299	1	−	−	NOUN
ejpam-5187	299	2	νnan−1	νnan−1	PROPN
ejpam-5187	299	3	−	−	PROPN
ejpam-5187	299	4	z||2	z||2	PROPN
ejpam-5187	299	5	−	−	PROPN
ejpam-5187	299	6	ξn(1−	ξn(1−	PROPN
ejpam-5187	299	7	ξn)||t	ξn)||t	NOUN
ejpam-5187	299	8	nbn	nbn	PROPN
ejpam-5187	299	9	−	−	PROPN
ejpam-5187	299	10	bn||2	bn||2	PROPN
ejpam-5187	299	11	=	=	SYM
ejpam-5187	300	1	[	[	X
ejpam-5187	300	2	1	1	NUM
ejpam-5187	300	3	+	+	CCONJ
ejpam-5187	300	4	ξn(κ	ξn(κ	NUM
ejpam-5187	300	5	2	2	NUM
ejpam-5187	300	6	n	n	CCONJ
ejpam-5187	300	7	−	−	PROPN
ejpam-5187	300	8	1)]∥(1	1)]∥(1	NUM
ejpam-5187	300	9	+	+	CCONJ
ejpam-5187	300	10	ξn)(an	ξn)(an	PROPN
ejpam-5187	300	11	−	−	ADP
ejpam-5187	300	12	z)−	z)−	PROPN
ejpam-5187	300	13	νn(an−1	νn(an−1	PROPN
ejpam-5187	300	14	−	−	PROPN
ejpam-5187	300	15	z)||2	z)||2	PROPN
ejpam-5187	300	16	−	−	PROPN
ejpam-5187	300	17	ξn(1−	ξn(1−	PROPN
ejpam-5187	300	18	ξn)||xinbn	ξn)||xinbn	PROPN
ejpam-5187	300	19	−	−	PROPN
ejpam-5187	300	20	bn||2	bn||2	NOUN
ejpam-5187	300	21	=	=	SYM
ejpam-5187	301	1	[	[	X
ejpam-5187	301	2	1	1	NUM
ejpam-5187	301	3	+	+	CCONJ
ejpam-5187	301	4	ξn(κ	ξn(κ	NUM
ejpam-5187	301	5	2	2	NUM
ejpam-5187	301	6	n	n	NUM
ejpam-5187	301	7	−	−	PROPN
ejpam-5187	301	8	1)][(1	1)][(1	PROPN
ejpam-5187	302	1	+	+	CCONJ
ejpam-5187	302	2	νn)∥an	νn)∥an	PROPN
ejpam-5187	302	3	−	−	PROPN
ejpam-5187	302	4	z∥2	z∥2	NOUN
ejpam-5187	302	5	−	−	PUNCT
ejpam-5187	302	6	νn∥an−1	νn∥an−1	ADJ
ejpam-5187	302	7	−	−	NOUN
ejpam-5187	302	8	z∥2	z∥2	NOUN
ejpam-5187	302	9	+	+	PUNCT
ejpam-5187	302	10	νn(1	νn(1	NOUN
ejpam-5187	302	11	+	+	CCONJ
ejpam-5187	302	12	νn)∥an	νn)∥an	PROPN
ejpam-5187	302	13	−	−	PROPN
ejpam-5187	302	14	an−1∥2	an−1∥2	PROPN
ejpam-5187	302	15	]	]	PUNCT
ejpam-5187	302	16	−ξn(1−	−ξn(1−	PROPN
ejpam-5187	302	17	ξn)||t	ξn)||t	PROPN
ejpam-5187	302	18	nbn	nbn	PROPN
ejpam-5187	302	19	−	−	PROPN
ejpam-5187	302	20	bn||2	bn||2	PROPN
ejpam-5187	302	21	≤	≤	NOUN
ejpam-5187	303	1	[	[	X
ejpam-5187	303	2	1	1	NUM
ejpam-5187	303	3	+	+	CCONJ
ejpam-5187	303	4	ξn(κ	ξn(κ	NUM
ejpam-5187	303	5	2	2	NUM
ejpam-5187	303	6	n	n	NUM
ejpam-5187	303	7	−	−	PROPN
ejpam-5187	303	8	1)](1	1)](1	NUM
ejpam-5187	303	9	+	+	CCONJ
ejpam-5187	303	10	νn)∥an	νn)∥an	PROPN
ejpam-5187	303	11	−	−	NOUN
ejpam-5187	303	12	z∥2	z∥2	NOUN
ejpam-5187	303	13	+	+	PUNCT
ejpam-5187	304	1	[	[	X
ejpam-5187	304	2	1	1	NUM
ejpam-5187	304	3	+	+	CCONJ
ejpam-5187	304	4	ξn(κ	ξn(κ	NUM
ejpam-5187	304	5	2	2	NUM
ejpam-5187	304	6	n	n	NUM
ejpam-5187	304	7	−	−	PROPN
ejpam-5187	304	8	1)]νn(1	1)]νn(1	NUM
ejpam-5187	304	9	+	+	NUM
ejpam-5187	304	10	νn)∥an	νn)∥an	PROPN
ejpam-5187	304	11	−	−	PROPN
ejpam-5187	304	12	an−1∥2	an−1∥2	PROPN
ejpam-5187	304	13	]	]	PUNCT
ejpam-5187	304	14	−ξn(1−	−ξn(1−	PROPN
ejpam-5187	304	15	ξn)||t	ξn)||t	PROPN
ejpam-5187	304	16	nbn	nbn	PROPN
ejpam-5187	304	17	−	−	PROPN
ejpam-5187	304	18	bn||2	bn||2	ADJ
ejpam-5187	304	19	≤	≤	ADJ
ejpam-5187	304	20	||an	||an	NOUN
ejpam-5187	304	21	−	−	PROPN
ejpam-5187	304	22	z||2	z||2	PROPN
ejpam-5187	304	23	+	+	PUNCT
ejpam-5187	305	1	[	[	X
ejpam-5187	305	2	νn	νn	X
ejpam-5187	305	3	+	+	NUM
ejpam-5187	305	4	ξn(κ	ξn(κ	NUM
ejpam-5187	305	5	2	2	NUM
ejpam-5187	305	6	n	n	CCONJ
ejpam-5187	305	7	−	−	PROPN
ejpam-5187	305	8	1	1	NUM
ejpam-5187	305	9	)	)	PUNCT
ejpam-5187	305	10	+	+	CCONJ
ejpam-5187	306	1	ξnνn(κ	ξnνn(κ	SYM
ejpam-5187	306	2	2	2	NUM
ejpam-5187	306	3	n	n	CCONJ
ejpam-5187	306	4	−	−	PROPN
ejpam-5187	306	5	1)]∥an	1)]∥an	NUM
ejpam-5187	306	6	−	−	NOUN
ejpam-5187	306	7	z∥2	z∥2	NOUN
ejpam-5187	306	8	+2(1	+2(1	PROPN
ejpam-5187	306	9	+	+	NUM
ejpam-5187	306	10	m2	m2	PROPN
ejpam-5187	306	11	1	1	NUM
ejpam-5187	306	12	)	)	PUNCT
ejpam-5187	306	13	νn∥an	νn∥an	PROPN
ejpam-5187	306	14	−	−	PROPN
ejpam-5187	306	15	an−1∥2	an−1∥2	PROPN
ejpam-5187	306	16	−ξn(1−	−ξn(1−	PROPN
ejpam-5187	306	17	ξn)||t	ξn)||t	NOUN
ejpam-5187	306	18	nbn	nbn	PROPN
ejpam-5187	306	19	−	−	PROPN
ejpam-5187	306	20	bn||2	bn||2	PROPN
ejpam-5187	306	21	≤	≤	NOUN
ejpam-5187	307	1	[	[	X
ejpam-5187	307	2	1	1	NUM
ejpam-5187	307	3	+	+	NUM
ejpam-5187	307	4	δn]∥an	δn]∥an	NOUN
ejpam-5187	307	5	−	−	NOUN
ejpam-5187	307	6	z∥2	z∥2	NOUN
ejpam-5187	307	7	+	+	NUM
ejpam-5187	307	8	2(1	2(1	NUM
ejpam-5187	307	9	+	+	ADJ
ejpam-5187	307	10	m2	m2	PROPN
ejpam-5187	307	11	1	1	NUM
ejpam-5187	307	12	)	)	PUNCT
ejpam-5187	307	13	νn∥an	νn∥an	PROPN
ejpam-5187	307	14	−	−	PROPN
ejpam-5187	307	15	an−1∥2	an−1∥2	PROPN
ejpam-5187	307	16	−ξn(1−	−ξn(1−	PROPN
ejpam-5187	307	17	ξn)||t	ξn)||t	NOUN
ejpam-5187	307	18	nbn	nbn	PROPN
ejpam-5187	307	19	−	−	PROPN
ejpam-5187	307	20	bn||2	bn||2	PROPN
ejpam-5187	307	21	(	(	PUNCT
ejpam-5187	307	22	13	13	NUM
ejpam-5187	307	23	)	)	PUNCT
ejpam-5187	307	24	≤	≤	NOUN
ejpam-5187	308	1	[	[	X
ejpam-5187	308	2	1	1	NUM
ejpam-5187	308	3	+	+	NUM
ejpam-5187	308	4	δn]∥an	δn]∥an	NOUN
ejpam-5187	308	5	−	−	NOUN
ejpam-5187	308	6	z∥2	z∥2	NOUN
ejpam-5187	308	7	+	+	NUM
ejpam-5187	308	8	2(1	2(1	NUM
ejpam-5187	308	9	+	+	ADJ
ejpam-5187	308	10	m2	m2	PROPN
ejpam-5187	308	11	1	1	NUM
ejpam-5187	308	12	)	)	PUNCT
ejpam-5187	308	13	νn∥an	νn∥an	PROPN
ejpam-5187	308	14	−	−	PROPN
ejpam-5187	308	15	an−1∥2	an−1∥2	PROPN
ejpam-5187	308	16	,	,	PUNCT
ejpam-5187	308	17	where	where	SCONJ
ejpam-5187	308	18	δn	δn	NOUN
ejpam-5187	308	19	=	=	PUNCT
ejpam-5187	308	20	νn	νn	NOUN
ejpam-5187	308	21	+	+	CCONJ
ejpam-5187	308	22	2m1(κn	2m1(κn	NUM
ejpam-5187	308	23	−	−	NOUN
ejpam-5187	308	24	1	1	NUM
ejpam-5187	308	25	)	)	PUNCT
ejpam-5187	308	26	is	be	AUX
ejpam-5187	308	27	such	such	ADJ
ejpam-5187	308	28	that	that	SCONJ
ejpam-5187	308	29	∑	∑	PUNCT
ejpam-5187	308	30	δn	δn	X
ejpam-5187	308	31	<	<	X
ejpam-5187	308	32	+	+	NOUN
ejpam-5187	308	33	∞	∞	PROPN
ejpam-5187	308	34	,	,	PUNCT
ejpam-5187	308	35	since	since	SCONJ
ejpam-5187	308	36	∑	∑	PROPN
ejpam-5187	308	37	(	(	PUNCT
ejpam-5187	308	38	κn	κn	NOUN
ejpam-5187	308	39	−	−	PROPN
ejpam-5187	308	40	1	1	NUM
ejpam-5187	308	41	)	)	PUNCT
ejpam-5187	308	42	<	<	X
ejpam-5187	309	1	+	+	NOUN
ejpam-5187	309	2	∞	∞	NOUN
ejpam-5187	309	3	and	and	CCONJ
ejpam-5187	309	4	condition	condition	NOUN
ejpam-5187	309	5	(	(	PUNCT
ejpam-5187	309	6	ii	ii	NOUN
ejpam-5187	309	7	)	)	PUNCT
ejpam-5187	309	8	holds	hold	VERB
ejpam-5187	309	9	.	.	PUNCT
ejpam-5187	310	1	using	use	VERB
ejpam-5187	310	2	this	this	PRON
ejpam-5187	310	3	,	,	PUNCT
ejpam-5187	310	4	lemma	lemma	PROPN
ejpam-5187	310	5	2	2	NUM
ejpam-5187	310	6	and	and	CCONJ
ejpam-5187	310	7	condition	condition	NOUN
ejpam-5187	310	8	(	(	PUNCT
ejpam-5187	310	9	iii	iii	NOUN
ejpam-5187	310	10	)	)	PUNCT
ejpam-5187	310	11	,	,	PUNCT
ejpam-5187	310	12	we	we	PRON
ejpam-5187	310	13	have	have	VERB
ejpam-5187	310	14	that	that	PRON
ejpam-5187	310	15	lim	lim	PROPN
ejpam-5187	310	16	∥an	∥an	PROPN
ejpam-5187	310	17	−	−	PROPN
ejpam-5187	310	18	a∗∥2	a∗∥2	PROPN
ejpam-5187	310	19	exists	exist	VERB
ejpam-5187	310	20	.	.	PUNCT
ejpam-5187	311	1	this	this	PRON
ejpam-5187	311	2	implies	imply	VERB
ejpam-5187	311	3	{	{	PUNCT
ejpam-5187	311	4	an	an	DET
ejpam-5187	311	5	−	−	NOUN
ejpam-5187	311	6	a∗	a∗	NOUN
ejpam-5187	311	7	}	}	PUNCT
ejpam-5187	311	8	and	and	CCONJ
ejpam-5187	311	9	{	{	PUNCT
ejpam-5187	311	10	an	an	PRON
ejpam-5187	311	11	}	}	PUNCT
ejpam-5187	311	12	are	be	AUX
ejpam-5187	311	13	norm	norm	NOUN
ejpam-5187	311	14	bounded	bound	VERB
ejpam-5187	311	15	.	.	PUNCT
ejpam-5187	312	1	hence	hence	ADV
ejpam-5187	312	2	,	,	PUNCT
ejpam-5187	312	3	there	there	PRON
ejpam-5187	312	4	exists	exist	VERB
ejpam-5187	312	5	a	a	DET
ejpam-5187	312	6	real	real	ADJ
ejpam-5187	312	7	constant	constant	ADJ
ejpam-5187	312	8	d3	d3	PROPN
ejpam-5187	312	9	>	>	X
ejpam-5187	312	10	0	0	PROPN
ejpam-5187	312	11	,	,	PUNCT
ejpam-5187	312	12	such	such	ADJ
ejpam-5187	312	13	that	that	SCONJ
ejpam-5187	312	14	∥an	∥an	PROPN
ejpam-5187	312	15	−	−	PROPN
ejpam-5187	312	16	a∗∥2	a∗∥2	PROPN
ejpam-5187	312	17	≤	≤	PROPN
ejpam-5187	312	18	d3	d3	PROPN
ejpam-5187	312	19	.	.	PUNCT
ejpam-5187	313	1	using	use	VERB
ejpam-5187	313	2	this	this	PRON
ejpam-5187	313	3	in	in	ADP
ejpam-5187	313	4	(	(	PUNCT
ejpam-5187	313	5	13	13	NUM
ejpam-5187	313	6	)	)	PUNCT
ejpam-5187	313	7	,	,	PUNCT
ejpam-5187	313	8	we	we	PRON
ejpam-5187	313	9	have	have	VERB
ejpam-5187	313	10	that	that	DET
ejpam-5187	313	11	∥an+1	∥an+1	NOUN
ejpam-5187	313	12	−	−	PROPN
ejpam-5187	313	13	a∗∥2	a∗∥2	PROPN
ejpam-5187	313	14	≤	≤	PUNCT
ejpam-5187	314	1	∥an	∥an	PROPN
ejpam-5187	315	1	−	−	PUNCT
ejpam-5187	315	2	a∗∥2	a∗∥2	NOUN
ejpam-5187	315	3	+	+	CCONJ
ejpam-5187	315	4	δnd3	δnd3	NOUN
ejpam-5187	315	5	+	+	CCONJ
ejpam-5187	315	6	2(1	2(1	NUM
ejpam-5187	316	1	+	+	ADJ
ejpam-5187	316	2	m2	m2	PROPN
ejpam-5187	316	3	1	1	NUM
ejpam-5187	316	4	)	)	PUNCT
ejpam-5187	316	5	νn∥an	νn∥an	PROPN
ejpam-5187	316	6	−	−	PROPN
ejpam-5187	316	7	an−1∥2	an−1∥2	PROPN
ejpam-5187	316	8	−	−	PROPN
ejpam-5187	316	9	ξn(1−	ξn(1−	PROPN
ejpam-5187	316	10	ξn)||t	ξn)||t	NOUN
ejpam-5187	316	11	nbn	nbn	PROPN
ejpam-5187	316	12	−	−	PROPN
ejpam-5187	316	13	bn||2	bn||2	NOUN
ejpam-5187	316	14	from	from	ADP
ejpam-5187	316	15	this	this	PRON
ejpam-5187	316	16	and	and	CCONJ
ejpam-5187	316	17	condition	condition	NOUN
ejpam-5187	316	18	and	and	CCONJ
ejpam-5187	316	19	(	(	PUNCT
ejpam-5187	316	20	iii	iii	NOUN
ejpam-5187	316	21	)	)	PUNCT
ejpam-5187	316	22	,	,	PUNCT
ejpam-5187	316	23	we	we	PRON
ejpam-5187	316	24	have∑	have∑	VERB
ejpam-5187	316	25	n≥0	n≥0	VERB
ejpam-5187	316	26	α1(1−	α1(1−	PROPN
ejpam-5187	316	27	α2)||t	α2)||t	PROPN
ejpam-5187	316	28	nbn	nbn	NOUN
ejpam-5187	316	29	−	−	PROPN
ejpam-5187	316	30	bn||2	bn||2	NOUN
ejpam-5187	316	31	≤	≤	ADV
ejpam-5187	316	32	∑	∑	PUNCT
ejpam-5187	316	33	n≥0	n≥0	PROPN
ejpam-5187	316	34	ξn(1−	ξn(1−	PROPN
ejpam-5187	316	35	ξn)||t	ξn)||t	NOUN
ejpam-5187	316	36	nbn	nbn	PROPN
ejpam-5187	316	37	−	−	PROPN
ejpam-5187	316	38	bn||2	bn||2	NOUN
ejpam-5187	316	39	≤	≤	ADV
ejpam-5187	316	40	∑	∑	PUNCT
ejpam-5187	316	41	n≥0	n≥0	PROPN
ejpam-5187	316	42	[	[	X
ejpam-5187	316	43	||an	||an	NOUN
ejpam-5187	316	44	−	−	NOUN
ejpam-5187	316	45	a∗||2	a∗||2	NOUN
ejpam-5187	316	46	−	−	PROPN
ejpam-5187	316	47	||an+1	||an+1	NOUN
ejpam-5187	316	48	−	−	PROPN
ejpam-5187	316	49	a∗||2	a∗||2	NOUN
ejpam-5187	316	50	]	]	PUNCT
ejpam-5187	317	1	+	+	X
ejpam-5187	317	2	d3	d3	X
ejpam-5187	317	3	∑	∑	ADV
ejpam-5187	317	4	n≥0	n≥0	ADJ
ejpam-5187	317	5	δn	δn	ADP
ejpam-5187	317	6	+2(1	+2(1	PROPN
ejpam-5187	317	7	+	+	NOUN
ejpam-5187	317	8	m2	m2	PROPN
ejpam-5187	317	9	1	1	NUM
ejpam-5187	317	10	)	)	PUNCT
ejpam-5187	317	11	∑	∑	PUNCT
ejpam-5187	317	12	n≥0	n≥0	PROPN
ejpam-5187	317	13	νn∥an	νn∥an	PROPN
ejpam-5187	317	14	−	−	PROPN
ejpam-5187	317	15	an−1∥2	an−1∥2	PROPN
ejpam-5187	317	16	<	<	X
ejpam-5187	317	17	∞.	∞.	PROPN
ejpam-5187	317	18	b.	b.	PROPN
ejpam-5187	317	19	g.	g.	PROPN
ejpam-5187	317	20	akuchu	akuchu	PROPN
ejpam-5187	317	21	et	et	PROPN
ejpam-5187	317	22	al	al	PROPN
ejpam-5187	317	23	.	.	PUNCT
ejpam-5187	317	24	/	/	SYM
ejpam-5187	317	25	eur	eur	PROPN
ejpam-5187	317	26	.	.	PUNCT
ejpam-5187	318	1	j.	j.	PROPN
ejpam-5187	318	2	pure	pure	PROPN
ejpam-5187	318	3	appl	appl	PROPN
ejpam-5187	318	4	.	.	PROPN
ejpam-5187	318	5	math	math	PROPN
ejpam-5187	318	6	,	,	PUNCT
ejpam-5187	318	7	17	17	NUM
ejpam-5187	318	8	(	(	PUNCT
ejpam-5187	318	9	3	3	NUM
ejpam-5187	318	10	)	)	PUNCT
ejpam-5187	318	11	(	(	PUNCT
ejpam-5187	318	12	2024	2024	NUM
ejpam-5187	318	13	)	)	PUNCT
ejpam-5187	318	14	,	,	PUNCT
ejpam-5187	318	15	1602	1602	NUM
ejpam-5187	318	16	-	-	SYM
ejpam-5187	318	17	1617	1617	NUM
ejpam-5187	318	18	1613	1613	NUM
ejpam-5187	318	19	this	this	PRON
ejpam-5187	318	20	implies	imply	VERB
ejpam-5187	318	21	from	from	ADP
ejpam-5187	318	22	condition	condition	NOUN
ejpam-5187	318	23	(	(	PUNCT
ejpam-5187	318	24	i	i	NOUN
ejpam-5187	318	25	)	)	PUNCT
ejpam-5187	319	1	that	that	PRON
ejpam-5187	319	2	lim	lim	PROPN
ejpam-5187	319	3	||t	||t	PROPN
ejpam-5187	319	4	nbn	nbn	PROPN
ejpam-5187	319	5	−	−	PROPN
ejpam-5187	319	6	bn||2	bn||2	PROPN
ejpam-5187	319	7	=	=	NOUN
ejpam-5187	319	8	0	0	X
ejpam-5187	319	9	.	.	PUNCT
ejpam-5187	320	1	hence	hence	ADV
ejpam-5187	320	2	lim	lim	PROPN
ejpam-5187	320	3	||t	||t	PROPN
ejpam-5187	320	4	nbn	nbn	PROPN
ejpam-5187	320	5	−	−	PROPN
ejpam-5187	320	6	bn||	bn||	PROPN
ejpam-5187	320	7	=	=	SYM
ejpam-5187	320	8	0	0	X
ejpam-5187	320	9	.	.	PUNCT
ejpam-5187	321	1	the	the	DET
ejpam-5187	321	2	rest	rest	NOUN
ejpam-5187	321	3	of	of	ADP
ejpam-5187	321	4	the	the	DET
ejpam-5187	321	5	proof	proof	NOUN
ejpam-5187	321	6	now	now	ADV
ejpam-5187	321	7	follows	follow	VERB
ejpam-5187	321	8	easily	easily	ADV
ejpam-5187	321	9	as	as	ADP
ejpam-5187	321	10	in	in	ADP
ejpam-5187	321	11	that	that	PRON
ejpam-5187	321	12	of	of	ADP
ejpam-5187	321	13	theorem	theorem	NOUN
ejpam-5187	321	14	4	4	NUM
ejpam-5187	321	15	above	above	ADV
ejpam-5187	321	16	.	.	PUNCT
ejpam-5187	322	1	theorem	theorem	VERB
ejpam-5187	322	2	6	6	NUM
ejpam-5187	322	3	.	.	PUNCT
ejpam-5187	323	1	let	let	VERB
ejpam-5187	323	2	h	h	PRON
ejpam-5187	323	3	be	be	AUX
ejpam-5187	323	4	a	a	DET
ejpam-5187	323	5	real	real	ADJ
ejpam-5187	323	6	hilbert	hilbert	NOUN
ejpam-5187	323	7	space	space	NOUN
ejpam-5187	323	8	and	and	CCONJ
ejpam-5187	323	9	let	let	VERB
ejpam-5187	323	10	t	t	NOUN
ejpam-5187	323	11	:	:	PUNCT
ejpam-5187	323	12	h	h	PROPN
ejpam-5187	323	13	→	→	PUNCT
ejpam-5187	323	14	h	h	NOUN
ejpam-5187	323	15	be	be	AUX
ejpam-5187	323	16	an	an	DET
ejpam-5187	323	17	asymptotically	asymptotically	ADV
ejpam-5187	323	18	nonexpansive	nonexpansive	ADJ
ejpam-5187	323	19	mapping	mapping	NOUN
ejpam-5187	323	20	with	with	ADP
ejpam-5187	323	21	a	a	DET
ejpam-5187	323	22	non	non	ADJ
ejpam-5187	323	23	-	-	ADJ
ejpam-5187	323	24	empty	empty	ADJ
ejpam-5187	323	25	fixed	fix	VERB
ejpam-5187	323	26	points	point	NOUN
ejpam-5187	323	27	set	set	VERB
ejpam-5187	323	28	f	f	PROPN
ejpam-5187	323	29	(	(	PUNCT
ejpam-5187	323	30	t	t	PROPN
ejpam-5187	323	31	)	)	PUNCT
ejpam-5187	323	32	and	and	CCONJ
ejpam-5187	323	33	sequence	sequence	NOUN
ejpam-5187	323	34	{	{	PUNCT
ejpam-5187	323	35	κn	κn	NOUN
ejpam-5187	323	36	}	}	PUNCT
ejpam-5187	323	37	⊂	⊂	PROPN
ejpam-5187	324	1	[	[	X
ejpam-5187	324	2	1,∞	1,∞	NUM
ejpam-5187	324	3	)	)	PUNCT
ejpam-5187	324	4	,	,	PUNCT
ejpam-5187	324	5	such	such	ADJ
ejpam-5187	324	6	that	that	SCONJ
ejpam-5187	324	7	∑	∑	ADP
ejpam-5187	324	8	n→∞	n→∞	NUM
ejpam-5187	324	9	κn	κn	NOUN
ejpam-5187	324	10	−	−	PROPN
ejpam-5187	324	11	1	1	NUM
ejpam-5187	324	12	<	<	X
ejpam-5187	324	13	+	+	NOUN
ejpam-5187	324	14	∞.	∞.	PROPN
ejpam-5187	324	15	then	then	ADV
ejpam-5187	324	16	the	the	DET
ejpam-5187	324	17	modified	modified	ADJ
ejpam-5187	324	18	inertial	inertial	ADJ
ejpam-5187	324	19	krasnosel’skii	krasnosel’skii	PROPN
ejpam-5187	324	20	-	-	PUNCT
ejpam-5187	324	21	mann	mann	PROPN
ejpam-5187	324	22	sequence	sequence	NOUN
ejpam-5187	324	23	{	{	PUNCT
ejpam-5187	324	24	an	an	PRON
ejpam-5187	324	25	}	}	PUNCT
ejpam-5187	324	26	generated	generate	VERB
ejpam-5187	324	27	from	from	ADP
ejpam-5187	324	28	a0	a0	NOUN
ejpam-5187	324	29	,	,	PUNCT
ejpam-5187	324	30	a1	a1	NOUN
ejpam-5187	324	31	∈	∈	PROPN
ejpam-5187	324	32	h	h	NOUN
ejpam-5187	324	33	by	by	ADP
ejpam-5187	324	34	{	{	PUNCT
ejpam-5187	324	35	bn	bn	NOUN
ejpam-5187	324	36	=	=	SYM
ejpam-5187	324	37	an	an	PRON
ejpam-5187	325	1	+	+	NUM
ejpam-5187	325	2	νn(an	νn(an	PROPN
ejpam-5187	325	3	−	−	X
ejpam-5187	325	4	an−1	an−1	ADJ
ejpam-5187	325	5	)	)	PUNCT
ejpam-5187	325	6	an+1	an+1	NOUN
ejpam-5187	325	7	=	=	SYM
ejpam-5187	325	8	(	(	PUNCT
ejpam-5187	325	9	1−	1−	NUM
ejpam-5187	325	10	ξn)bn	ξn)bn	NUM
ejpam-5187	326	1	+	+	NUM
ejpam-5187	326	2	ξnt	ξnt	PROPN
ejpam-5187	326	3	nbn	nbn	PROPN
ejpam-5187	326	4	,	,	PUNCT
ejpam-5187	326	5	n	n	NOUN
ejpam-5187	326	6	=	=	SYM
ejpam-5187	326	7	1	1	NUM
ejpam-5187	326	8	,	,	PUNCT
ejpam-5187	326	9	2	2	NUM
ejpam-5187	326	10	,	,	PUNCT
ejpam-5187	326	11	...	...	PUNCT
ejpam-5187	326	12	where	where	SCONJ
ejpam-5187	326	13	{	{	PUNCT
ejpam-5187	326	14	ξn	ξn	NOUN
ejpam-5187	326	15	}	}	PUNCT
ejpam-5187	326	16	and	and	CCONJ
ejpam-5187	326	17	{	{	PUNCT
ejpam-5187	326	18	νn	νn	AUX
ejpam-5187	326	19	}	}	PUNCT
ejpam-5187	326	20	are	be	AUX
ejpam-5187	326	21	real	real	ADJ
ejpam-5187	326	22	sequences	sequence	NOUN
ejpam-5187	326	23	in	in	ADP
ejpam-5187	326	24	(	(	PUNCT
ejpam-5187	326	25	0	0	NUM
ejpam-5187	326	26	,	,	PUNCT
ejpam-5187	326	27	1	1	NUM
ejpam-5187	326	28	)	)	PUNCT
ejpam-5187	326	29	,	,	PUNCT
ejpam-5187	326	30	satisfying	satisfy	VERB
ejpam-5187	326	31	:	:	PUNCT
ejpam-5187	326	32	(	(	PUNCT
ejpam-5187	326	33	i	i	NOUN
ejpam-5187	326	34	)	)	PUNCT
ejpam-5187	326	35	lim	lim	PROPN
ejpam-5187	326	36	inf	inf	PROPN
ejpam-5187	326	37	ξn(1−	ξn(1−	PROPN
ejpam-5187	326	38	ξn	ξn	PROPN
ejpam-5187	326	39	)	)	PUNCT
ejpam-5187	326	40	>	>	X
ejpam-5187	326	41	0	0	NUM
ejpam-5187	326	42	,	,	PUNCT
ejpam-5187	326	43	(	(	PUNCT
ejpam-5187	326	44	ii	ii	NOUN
ejpam-5187	326	45	)	)	PUNCT
ejpam-5187	326	46	∑	∑	PUNCT
ejpam-5187	326	47	νn	νn	VERB
ejpam-5187	326	48	1	1	NUM
ejpam-5187	326	49	2	2	NUM
ejpam-5187	326	50	<	<	X
ejpam-5187	326	51	+	+	NOUN
ejpam-5187	326	52	∞	∞	PROPN
ejpam-5187	326	53	(	(	PUNCT
ejpam-5187	326	54	iii	iii	NOUN
ejpam-5187	326	55	)	)	PUNCT
ejpam-5187	326	56	νn∥an	νn∥an	PROPN
ejpam-5187	326	57	−	−	PROPN
ejpam-5187	326	58	an−1∥4	an−1∥4	NOUN
ejpam-5187	326	59	≤	≤	ADJ
ejpam-5187	326	60	d4	d4	PROPN
ejpam-5187	326	61	for	for	ADP
ejpam-5187	326	62	some	some	DET
ejpam-5187	326	63	positive	positive	ADJ
ejpam-5187	326	64	real	real	ADJ
ejpam-5187	326	65	constant	constant	ADJ
ejpam-5187	326	66	d4	d4	PROPN
ejpam-5187	326	67	,	,	PUNCT
ejpam-5187	326	68	converges	converge	VERB
ejpam-5187	326	69	weakly	weakly	ADV
ejpam-5187	326	70	to	to	ADP
ejpam-5187	326	71	a	a	DET
ejpam-5187	326	72	fixed	fix	VERB
ejpam-5187	326	73	point	point	NOUN
ejpam-5187	326	74	of	of	ADP
ejpam-5187	326	75	t	t	PROPN
ejpam-5187	326	76	.	.	PUNCT
ejpam-5187	327	1	proof	proof	NOUN
ejpam-5187	327	2	.	.	PUNCT
ejpam-5187	328	1	computing	compute	VERB
ejpam-5187	328	2	as	as	ADP
ejpam-5187	328	3	in	in	ADP
ejpam-5187	328	4	theorem	theorem	NOUN
ejpam-5187	328	5	5	5	NUM
ejpam-5187	328	6	above	above	ADV
ejpam-5187	328	7	,	,	PUNCT
ejpam-5187	328	8	we	we	PRON
ejpam-5187	328	9	arrive	arrive	VERB
ejpam-5187	328	10	at	at	ADP
ejpam-5187	328	11	||an+1	||an+1	NOUN
ejpam-5187	328	12	−	−	PROPN
ejpam-5187	328	13	z||2	z||2	PROPN
ejpam-5187	328	14	≤	≤	NOUN
ejpam-5187	329	1	[	[	X
ejpam-5187	329	2	1	1	NUM
ejpam-5187	329	3	+	+	NUM
ejpam-5187	329	4	δn]∥an	δn]∥an	NOUN
ejpam-5187	329	5	−	−	NOUN
ejpam-5187	329	6	z∥2	z∥2	NOUN
ejpam-5187	329	7	+	+	NUM
ejpam-5187	329	8	2(1	2(1	NUM
ejpam-5187	329	9	+	+	NOUN
ejpam-5187	329	10	m2)νn∥an	m2)νn∥an	NOUN
ejpam-5187	329	11	−	−	PROPN
ejpam-5187	329	12	an−1∥2	an−1∥2	PROPN
ejpam-5187	329	13	−	−	PROPN
ejpam-5187	329	14	ξn(1−	ξn(1−	PROPN
ejpam-5187	329	15	ξn)||t	ξn)||t	NOUN
ejpam-5187	329	16	nbn	nbn	PROPN
ejpam-5187	329	17	−	−	PROPN
ejpam-5187	329	18	bn||2	bn||2	PROPN
ejpam-5187	329	19	.	.	PUNCT
ejpam-5187	330	1	this	this	PRON
ejpam-5187	330	2	implies	imply	VERB
ejpam-5187	330	3	||an+1	||an+1	PROPN
ejpam-5187	330	4	−	−	PROPN
ejpam-5187	330	5	z||2	z||2	PROPN
ejpam-5187	330	6	≤	≤	NOUN
ejpam-5187	331	1	[	[	X
ejpam-5187	331	2	1	1	NUM
ejpam-5187	331	3	+	+	NUM
ejpam-5187	331	4	δn]∥an	δn]∥an	NOUN
ejpam-5187	331	5	−	−	NOUN
ejpam-5187	331	6	p∥2	p∥2	ADV
ejpam-5187	332	1	+	+	NUM
ejpam-5187	332	2	2(1	2(1	NUM
ejpam-5187	332	3	+	+	ADJ
ejpam-5187	332	4	m2)ν	m2)ν	ADJ
ejpam-5187	332	5	1	1	NUM
ejpam-5187	332	6	2	2	NUM
ejpam-5187	332	7	n	n	NUM
ejpam-5187	332	8	√	√	ADV
ejpam-5187	332	9	νn∥an	νn∥an	PROPN
ejpam-5187	332	10	−	−	PROPN
ejpam-5187	332	11	an−1∥4	an−1∥4	NOUN
ejpam-5187	332	12	−	−	PROPN
ejpam-5187	332	13	ξn(1−	ξn(1−	PROPN
ejpam-5187	332	14	ξn)||t	ξn)||t	NOUN
ejpam-5187	332	15	nbn	nbn	PROPN
ejpam-5187	332	16	−	−	PROPN
ejpam-5187	332	17	bn||2	bn||2	PROPN
ejpam-5187	332	18	≤	≤	NOUN
ejpam-5187	333	1	[	[	X
ejpam-5187	333	2	1	1	NUM
ejpam-5187	333	3	+	+	NUM
ejpam-5187	333	4	δn]∥an	δn]∥an	NOUN
ejpam-5187	333	5	−	−	NOUN
ejpam-5187	333	6	z∥2	z∥2	NOUN
ejpam-5187	333	7	+	+	NUM
ejpam-5187	333	8	2(1	2(1	NUM
ejpam-5187	333	9	+	+	ADJ
ejpam-5187	333	10	m2)ν	m2)ν	ADJ
ejpam-5187	333	11	1	1	NUM
ejpam-5187	333	12	2	2	NUM
ejpam-5187	333	13	n	n	CCONJ
ejpam-5187	333	14	√	√	PROPN
ejpam-5187	333	15	d4	d4	PROPN
ejpam-5187	333	16	−	−	PROPN
ejpam-5187	333	17	ξn(1−	ξn(1−	PROPN
ejpam-5187	333	18	ξn)||t	ξn)||t	PROPN
ejpam-5187	333	19	nbn	nbn	PROPN
ejpam-5187	333	20	−	−	PROPN
ejpam-5187	333	21	bn||2	bn||2	PROPN
ejpam-5187	333	22	where	where	SCONJ
ejpam-5187	333	23	δn	δn	NOUN
ejpam-5187	333	24	=	=	PUNCT
ejpam-5187	333	25	νn	νn	X
ejpam-5187	333	26	+	+	CCONJ
ejpam-5187	333	27	2m(κn	2m(κn	NUM
ejpam-5187	333	28	−	−	NUM
ejpam-5187	333	29	1	1	NUM
ejpam-5187	333	30	)	)	PUNCT
ejpam-5187	333	31	is	be	AUX
ejpam-5187	333	32	such	such	ADJ
ejpam-5187	333	33	that	that	SCONJ
ejpam-5187	333	34	∑	∑	PUNCT
ejpam-5187	333	35	δn	δn	X
ejpam-5187	333	36	<	<	X
ejpam-5187	333	37	+	+	NOUN
ejpam-5187	333	38	∞	∞	PROPN
ejpam-5187	333	39	,	,	PUNCT
ejpam-5187	333	40	since	since	SCONJ
ejpam-5187	333	41	∑	∑	PROPN
ejpam-5187	333	42	(	(	PUNCT
ejpam-5187	333	43	κn	κn	NOUN
ejpam-5187	333	44	−	−	PROPN
ejpam-5187	333	45	1	1	NUM
ejpam-5187	333	46	)	)	PUNCT
ejpam-5187	333	47	<	<	X
ejpam-5187	334	1	+	+	NOUN
ejpam-5187	334	2	∞	∞	NOUN
ejpam-5187	334	3	and	and	CCONJ
ejpam-5187	334	4	condition	condition	NOUN
ejpam-5187	334	5	(	(	PUNCT
ejpam-5187	334	6	ii	ii	NOUN
ejpam-5187	334	7	)	)	PUNCT
ejpam-5187	334	8	holds	hold	VERB
ejpam-5187	334	9	.	.	PUNCT
ejpam-5187	335	1	using	use	VERB
ejpam-5187	335	2	this	this	PRON
ejpam-5187	335	3	,	,	PUNCT
ejpam-5187	335	4	lemma	lemma	PROPN
ejpam-5187	335	5	2	2	NUM
ejpam-5187	335	6	and	and	CCONJ
ejpam-5187	335	7	condition	condition	NOUN
ejpam-5187	335	8	(	(	PUNCT
ejpam-5187	335	9	ii	ii	NOUN
ejpam-5187	335	10	)	)	PUNCT
ejpam-5187	335	11	,	,	PUNCT
ejpam-5187	335	12	we	we	PRON
ejpam-5187	335	13	have	have	VERB
ejpam-5187	335	14	that	that	PRON
ejpam-5187	335	15	lim	lim	PROPN
ejpam-5187	335	16	∥an	∥an	PROPN
ejpam-5187	335	17	−	−	PROPN
ejpam-5187	335	18	a∗∥2	a∗∥2	PROPN
ejpam-5187	335	19	exists	exist	VERB
ejpam-5187	335	20	.	.	PUNCT
ejpam-5187	336	1	this	this	PRON
ejpam-5187	336	2	implies	imply	VERB
ejpam-5187	336	3	{	{	PUNCT
ejpam-5187	336	4	an	an	DET
ejpam-5187	336	5	−	−	NOUN
ejpam-5187	336	6	a∗	a∗	NOUN
ejpam-5187	336	7	}	}	PUNCT
ejpam-5187	336	8	and	and	CCONJ
ejpam-5187	336	9	{	{	PUNCT
ejpam-5187	336	10	an	an	PRON
ejpam-5187	336	11	}	}	PUNCT
ejpam-5187	336	12	are	be	AUX
ejpam-5187	336	13	norm	norm	NOUN
ejpam-5187	336	14	bounded	bound	VERB
ejpam-5187	336	15	.	.	PUNCT
ejpam-5187	337	1	hence	hence	ADV
ejpam-5187	337	2	,	,	PUNCT
ejpam-5187	337	3	there	there	PRON
ejpam-5187	337	4	exists	exist	VERB
ejpam-5187	337	5	a	a	DET
ejpam-5187	337	6	real	real	ADJ
ejpam-5187	337	7	constant	constant	ADJ
ejpam-5187	337	8	d5	d5	NOUN
ejpam-5187	337	9	>	>	X
ejpam-5187	337	10	0	0	PROPN
ejpam-5187	337	11	,	,	PUNCT
ejpam-5187	337	12	such	such	ADJ
ejpam-5187	337	13	that	that	AUX
ejpam-5187	337	14	∥an	∥an	PROPN
ejpam-5187	337	15	−	−	PROPN
ejpam-5187	337	16	a∗∥2	a∗∥2	PROPN
ejpam-5187	337	17	≤	≤	PROPN
ejpam-5187	337	18	d5	d5	NOUN
ejpam-5187	337	19	.	.	PUNCT
ejpam-5187	338	1	using	use	VERB
ejpam-5187	338	2	this	this	PRON
ejpam-5187	338	3	in	in	ADP
ejpam-5187	338	4	(	(	PUNCT
ejpam-5187	338	5	14	14	NUM
ejpam-5187	338	6	)	)	PUNCT
ejpam-5187	338	7	,	,	PUNCT
ejpam-5187	338	8	we	we	PRON
ejpam-5187	338	9	have	have	VERB
ejpam-5187	338	10	that	that	DET
ejpam-5187	338	11	∥an+1	∥an+1	NOUN
ejpam-5187	338	12	−	−	PROPN
ejpam-5187	338	13	a∗∥2	a∗∥2	PROPN
ejpam-5187	338	14	≤	≤	PUNCT
ejpam-5187	339	1	∥an	∥an	PROPN
ejpam-5187	340	1	−	−	ADP
ejpam-5187	340	2	a∗∥2	a∗∥2	PROPN
ejpam-5187	340	3	+	+	CCONJ
ejpam-5187	340	4	δnd5	δnd5	PROPN
ejpam-5187	340	5	+	+	CCONJ
ejpam-5187	340	6	2(1	2(1	NUM
ejpam-5187	341	1	+	+	ADJ
ejpam-5187	341	2	m2)ν	m2)ν	ADJ
ejpam-5187	341	3	1	1	NUM
ejpam-5187	341	4	2	2	NUM
ejpam-5187	341	5	n	n	CCONJ
ejpam-5187	341	6	√	√	PROPN
ejpam-5187	341	7	d4	d4	PROPN
ejpam-5187	341	8	−	−	PROPN
ejpam-5187	341	9	ξn(1−	ξn(1−	PROPN
ejpam-5187	341	10	ξn)||t	ξn)||t	PROPN
ejpam-5187	341	11	nbn	nbn	PROPN
ejpam-5187	341	12	−	−	PROPN
ejpam-5187	341	13	bn||2	bn||2	NOUN
ejpam-5187	341	14	.	.	PUNCT
ejpam-5187	342	1	from	from	ADP
ejpam-5187	342	2	this	this	PRON
ejpam-5187	342	3	and	and	CCONJ
ejpam-5187	342	4	conditions	condition	NOUN
ejpam-5187	342	5	(	(	PUNCT
ejpam-5187	342	6	ii	ii	NOUN
ejpam-5187	342	7	)	)	PUNCT
ejpam-5187	342	8	,	,	PUNCT
ejpam-5187	342	9	we	we	PRON
ejpam-5187	342	10	have∑	have∑	VERB
ejpam-5187	342	11	n≥0	n≥0	PROPN
ejpam-5187	342	12	ξn(1−	ξn(1−	PROPN
ejpam-5187	342	13	ξn)||t	ξn)||t	NOUN
ejpam-5187	342	14	nbn	nbn	PROPN
ejpam-5187	342	15	−	−	PROPN
ejpam-5187	342	16	bn||2	bn||2	NOUN
ejpam-5187	342	17	≤	≤	ADV
ejpam-5187	342	18	∑	∑	PUNCT
ejpam-5187	342	19	n≥0	n≥0	PROPN
ejpam-5187	342	20	[	[	X
ejpam-5187	342	21	||an	||an	NOUN
ejpam-5187	342	22	−	−	NOUN
ejpam-5187	342	23	a∗||2	a∗||2	NOUN
ejpam-5187	342	24	−	−	PROPN
ejpam-5187	342	25	||an+1	||an+1	NOUN
ejpam-5187	342	26	−	−	PROPN
ejpam-5187	342	27	a∗||2	a∗||2	NOUN
ejpam-5187	342	28	]	]	X
ejpam-5187	343	1	+	+	PUNCT
ejpam-5187	343	2	d5	d5	NOUN
ejpam-5187	343	3	∑	∑	PUNCT
ejpam-5187	343	4	n≥0	n≥0	ADJ
ejpam-5187	343	5	δn	δn	ADP
ejpam-5187	343	6	+2(1	+2(1	PROPN
ejpam-5187	343	7	+	+	NOUN
ejpam-5187	343	8	m2	m2	NOUN
ejpam-5187	343	9	)	)	PUNCT
ejpam-5187	343	10	√	√	PROPN
ejpam-5187	343	11	d4	d4	PROPN
ejpam-5187	343	12	∑	∑	PUNCT
ejpam-5187	343	13	n≥0	n≥0	ADJ
ejpam-5187	343	14	ν	ν	NOUN
ejpam-5187	343	15	1	1	NUM
ejpam-5187	343	16	2	2	NUM
ejpam-5187	343	17	n	n	NOUN
ejpam-5187	343	18	<	<	X
ejpam-5187	343	19	∞.	∞.	PROPN
ejpam-5187	343	20	b.	b.	PROPN
ejpam-5187	343	21	g.	g.	PROPN
ejpam-5187	343	22	akuchu	akuchu	PROPN
ejpam-5187	343	23	et	et	PROPN
ejpam-5187	343	24	al	al	PROPN
ejpam-5187	343	25	.	.	PUNCT
ejpam-5187	343	26	/	/	SYM
ejpam-5187	343	27	eur	eur	PROPN
ejpam-5187	343	28	.	.	PUNCT
ejpam-5187	344	1	j.	j.	PROPN
ejpam-5187	344	2	pure	pure	PROPN
ejpam-5187	344	3	appl	appl	PROPN
ejpam-5187	344	4	.	.	PROPN
ejpam-5187	344	5	math	math	PROPN
ejpam-5187	344	6	,	,	PUNCT
ejpam-5187	344	7	17	17	NUM
ejpam-5187	344	8	(	(	PUNCT
ejpam-5187	344	9	3	3	NUM
ejpam-5187	344	10	)	)	PUNCT
ejpam-5187	344	11	(	(	PUNCT
ejpam-5187	344	12	2024	2024	NUM
ejpam-5187	344	13	)	)	PUNCT
ejpam-5187	344	14	,	,	PUNCT
ejpam-5187	344	15	1602	1602	NUM
ejpam-5187	344	16	-	-	SYM
ejpam-5187	344	17	1617	1617	NUM
ejpam-5187	344	18	1614	1614	NUM
ejpam-5187	344	19	this	this	PRON
ejpam-5187	344	20	implies	imply	VERB
ejpam-5187	344	21	from	from	ADP
ejpam-5187	344	22	condition	condition	NOUN
ejpam-5187	344	23	(	(	PUNCT
ejpam-5187	344	24	i	i	NOUN
ejpam-5187	344	25	)	)	PUNCT
ejpam-5187	345	1	that	that	PRON
ejpam-5187	345	2	lim	lim	PROPN
ejpam-5187	345	3	||t	||t	PROPN
ejpam-5187	345	4	nbn	nbn	PROPN
ejpam-5187	345	5	−	−	PROPN
ejpam-5187	345	6	bn||2	bn||2	PROPN
ejpam-5187	345	7	=	=	NOUN
ejpam-5187	345	8	0	0	X
ejpam-5187	345	9	.	.	PUNCT
ejpam-5187	346	1	hence	hence	ADV
ejpam-5187	346	2	lim	lim	PROPN
ejpam-5187	346	3	||t	||t	PROPN
ejpam-5187	346	4	nbn	nbn	PROPN
ejpam-5187	346	5	−	−	PROPN
ejpam-5187	346	6	bn||	bn||	PROPN
ejpam-5187	346	7	=	=	X
ejpam-5187	346	8	0	0	X
ejpam-5187	346	9	.	.	PUNCT
ejpam-5187	347	1	from	from	ADP
ejpam-5187	347	2	(	(	PUNCT
ejpam-5187	347	3	5	5	NUM
ejpam-5187	347	4	)	)	PUNCT
ejpam-5187	347	5	,	,	PUNCT
ejpam-5187	347	6	(	(	PUNCT
ejpam-5187	347	7	ii	ii	NOUN
ejpam-5187	347	8	)	)	PUNCT
ejpam-5187	347	9	and	and	CCONJ
ejpam-5187	347	10	the	the	DET
ejpam-5187	347	11	fact	fact	NOUN
ejpam-5187	347	12	that	that	SCONJ
ejpam-5187	347	13	{	{	PUNCT
ejpam-5187	347	14	an	an	PRON
ejpam-5187	347	15	}	}	PUNCT
ejpam-5187	347	16	is	be	AUX
ejpam-5187	347	17	norm	norm	NOUN
ejpam-5187	347	18	bounded	bound	VERB
ejpam-5187	347	19	,	,	PUNCT
ejpam-5187	347	20	we	we	PRON
ejpam-5187	347	21	have	have	VERB
ejpam-5187	347	22	∥bn	∥bn	NOUN
ejpam-5187	347	23	−	−	NOUN
ejpam-5187	347	24	an∥	an∥	NOUN
ejpam-5187	347	25	=	=	PUNCT
ejpam-5187	347	26	νn∥an	νn∥an	PROPN
ejpam-5187	347	27	−	−	PROPN
ejpam-5187	347	28	an−1∥	an−1∥	PROPN
ejpam-5187	347	29	≤	≤	NUM
ejpam-5187	347	30	ν	ν	DET
ejpam-5187	347	31	1	1	NUM
ejpam-5187	347	32	2	2	NUM
ejpam-5187	347	33	n	n	CCONJ
ejpam-5187	347	34	[	[	X
ejpam-5187	347	35	∥an∥+	∥an∥+	NOUN
ejpam-5187	347	36	∥an−1∥	∥an−1∥	NOUN
ejpam-5187	347	37	]	]	PUNCT
ejpam-5187	347	38	→	→	SYM
ejpam-5187	347	39	0	0	NUM
ejpam-5187	347	40	the	the	DET
ejpam-5187	347	41	rest	rest	NOUN
ejpam-5187	347	42	of	of	ADP
ejpam-5187	347	43	the	the	DET
ejpam-5187	347	44	proof	proof	NOUN
ejpam-5187	347	45	follows	follow	VERB
ejpam-5187	347	46	easily	easily	ADV
ejpam-5187	347	47	like	like	INTJ
ejpam-5187	347	48	in	in	ADP
ejpam-5187	347	49	theorem	theorem	NOUN
ejpam-5187	347	50	4	4	NUM
ejpam-5187	347	51	above	above	ADV
ejpam-5187	347	52	.	.	PUNCT
ejpam-5187	348	1	theorem	theorem	VERB
ejpam-5187	348	2	7	7	NUM
ejpam-5187	348	3	.	.	PUNCT
ejpam-5187	349	1	let	let	VERB
ejpam-5187	349	2	h	h	PRON
ejpam-5187	349	3	be	be	AUX
ejpam-5187	349	4	a	a	DET
ejpam-5187	349	5	real	real	ADJ
ejpam-5187	349	6	hilbert	hilbert	NOUN
ejpam-5187	349	7	space	space	NOUN
ejpam-5187	349	8	and	and	CCONJ
ejpam-5187	349	9	let	let	VERB
ejpam-5187	349	10	a	a	DET
ejpam-5187	349	11	:	:	PUNCT
ejpam-5187	349	12	h	h	NOUN
ejpam-5187	349	13	→	→	SYM
ejpam-5187	349	14	c	c	NOUN
ejpam-5187	349	15	⊆	⊆	NUM
ejpam-5187	349	16	h	h	NOUN
ejpam-5187	349	17	be	be	AUX
ejpam-5187	349	18	a	a	DET
ejpam-5187	349	19	maximally	maximally	ADV
ejpam-5187	349	20	monotone	monotone	ADJ
ejpam-5187	349	21	operator	operator	NOUN
ejpam-5187	349	22	such	such	ADJ
ejpam-5187	349	23	that	that	PRON
ejpam-5187	349	24	zer(a	zer(a	NOUN
ejpam-5187	349	25	)	)	PUNCT
ejpam-5187	349	26	̸=	̸=	PROPN
ejpam-5187	349	27	∅.	∅.	ADV
ejpam-5187	349	28	let	let	VERB
ejpam-5187	349	29	jλ	jλ	ADP
ejpam-5187	349	30	a	a	PRON
ejpam-5187	349	31	:	:	PUNCT
ejpam-5187	349	32	=	=	SYM
ejpam-5187	349	33	(	(	PUNCT
ejpam-5187	349	34	i	i	PRON
ejpam-5187	349	35	+	+	CCONJ
ejpam-5187	349	36	λa)−1	λa)−1	AUX
ejpam-5187	349	37	be	be	AUX
ejpam-5187	349	38	the	the	DET
ejpam-5187	349	39	resolvent	resolvent	NOUN
ejpam-5187	349	40	of	of	ADP
ejpam-5187	349	41	a.	a.	NOUN
ejpam-5187	349	42	then	then	ADV
ejpam-5187	349	43	the	the	DET
ejpam-5187	349	44	modified	modified	ADJ
ejpam-5187	349	45	inertial	inertial	ADJ
ejpam-5187	349	46	krasnosel’skii	krasnosel’skii	PROPN
ejpam-5187	349	47	-	-	PUNCT
ejpam-5187	349	48	mann	mann	PROPN
ejpam-5187	349	49	sequence	sequence	NOUN
ejpam-5187	349	50	{	{	PUNCT
ejpam-5187	349	51	an	an	PRON
ejpam-5187	349	52	}	}	PUNCT
ejpam-5187	349	53	generated	generate	VERB
ejpam-5187	349	54	from	from	ADP
ejpam-5187	349	55	a0	a0	NOUN
ejpam-5187	349	56	,	,	PUNCT
ejpam-5187	349	57	a1	a1	NOUN
ejpam-5187	349	58	∈	∈	PROPN
ejpam-5187	349	59	h	h	NOUN
ejpam-5187	349	60	by	by	ADP
ejpam-5187	349	61	{	{	PUNCT
ejpam-5187	349	62	bn	bn	PROPN
ejpam-5187	349	63	=	=	SYM
ejpam-5187	349	64	an	an	PRON
ejpam-5187	350	1	+	+	NUM
ejpam-5187	350	2	νn(an	νn(an	PROPN
ejpam-5187	350	3	−	−	X
ejpam-5187	350	4	an−1	an−1	ADJ
ejpam-5187	350	5	)	)	PUNCT
ejpam-5187	350	6	an+1	an+1	NOUN
ejpam-5187	350	7	=	=	SYM
ejpam-5187	350	8	(	(	PUNCT
ejpam-5187	351	1	1−	1−	NUM
ejpam-5187	351	2	ξn)yn	ξn)yn	NUM
ejpam-5187	351	3	+	+	NUM
ejpam-5187	351	4	ξnj	ξnj	PROPN
ejpam-5187	351	5	λ	λ	PROPN
ejpam-5187	351	6	abn	abn	VERB
ejpam-5187	351	7	where	where	SCONJ
ejpam-5187	351	8	{	{	PUNCT
ejpam-5187	351	9	ξn	ξn	NOUN
ejpam-5187	351	10	}	}	PUNCT
ejpam-5187	351	11	and	and	CCONJ
ejpam-5187	351	12	{	{	PUNCT
ejpam-5187	351	13	νn	νn	AUX
ejpam-5187	351	14	}	}	PUNCT
ejpam-5187	351	15	are	be	AUX
ejpam-5187	351	16	real	real	ADJ
ejpam-5187	351	17	sequences	sequence	NOUN
ejpam-5187	351	18	in	in	ADP
ejpam-5187	351	19	(	(	PUNCT
ejpam-5187	351	20	0	0	NUM
ejpam-5187	351	21	,	,	PUNCT
ejpam-5187	351	22	1	1	NUM
ejpam-5187	351	23	)	)	PUNCT
ejpam-5187	351	24	,	,	PUNCT
ejpam-5187	351	25	satisfying	satisfy	VERB
ejpam-5187	351	26	:	:	PUNCT
ejpam-5187	351	27	(	(	PUNCT
ejpam-5187	351	28	i	i	NOUN
ejpam-5187	351	29	)	)	PUNCT
ejpam-5187	351	30	0	0	PUNCT
ejpam-5187	352	1	<	<	X
ejpam-5187	352	2	α1	α1	PROPN
ejpam-5187	352	3	≤	≤	NUM
ejpam-5187	352	4	ξn	ξn	PROPN
ejpam-5187	352	5	≤	≤	ADJ
ejpam-5187	352	6	α2	α2	NOUN
ejpam-5187	352	7	<	<	X
ejpam-5187	352	8	1	1	NUM
ejpam-5187	352	9	for	for	ADP
ejpam-5187	352	10	some	some	DET
ejpam-5187	352	11	real	real	ADJ
ejpam-5187	352	12	constants	constant	NOUN
ejpam-5187	352	13	α1	α1	PROPN
ejpam-5187	352	14	,	,	PUNCT
ejpam-5187	352	15	α2	α2	PROPN
ejpam-5187	352	16	∈	∈	PROPN
ejpam-5187	352	17	(	(	PUNCT
ejpam-5187	352	18	0	0	NUM
ejpam-5187	352	19	,	,	PUNCT
ejpam-5187	352	20	1	1	NUM
ejpam-5187	352	21	)	)	PUNCT
ejpam-5187	352	22	,	,	PUNCT
ejpam-5187	352	23	(	(	PUNCT
ejpam-5187	352	24	ii	ii	NOUN
ejpam-5187	352	25	)	)	PUNCT
ejpam-5187	352	26	∑	∑	PUNCT
ejpam-5187	352	27	νn	νn	VERB
ejpam-5187	352	28	<	<	X
ejpam-5187	352	29	+	+	PROPN
ejpam-5187	352	30	∞	∞	PROPN
ejpam-5187	352	31	(	(	PUNCT
ejpam-5187	352	32	iii	iii	NOUN
ejpam-5187	352	33	)	)	PUNCT
ejpam-5187	352	34	∑	∑	PROPN
ejpam-5187	352	35	νn∥an	νn∥an	PROPN
ejpam-5187	352	36	−	−	PROPN
ejpam-5187	352	37	an−1∥2	an−1∥2	PROPN
ejpam-5187	352	38	<	<	X
ejpam-5187	353	1	+	+	NOUN
ejpam-5187	353	2	∞.	∞.	PROPN
ejpam-5187	353	3	converges	converge	VERB
ejpam-5187	353	4	weakly	weakly	ADV
ejpam-5187	353	5	to	to	ADP
ejpam-5187	353	6	an	an	DET
ejpam-5187	353	7	element	element	NOUN
ejpam-5187	353	8	of	of	ADP
ejpam-5187	353	9	f	f	PROPN
ejpam-5187	353	10	(	(	PUNCT
ejpam-5187	353	11	jλ	jλ	ADP
ejpam-5187	353	12	a	a	X
ejpam-5187	353	13	)	)	PUNCT
ejpam-5187	353	14	,	,	PUNCT
ejpam-5187	353	15	which	which	PRON
ejpam-5187	353	16	is	be	AUX
ejpam-5187	353	17	also	also	ADV
ejpam-5187	353	18	an	an	DET
ejpam-5187	353	19	element	element	NOUN
ejpam-5187	353	20	of	of	ADP
ejpam-5187	353	21	zer(a	zer(a	PROPN
ejpam-5187	353	22	)	)	PUNCT
ejpam-5187	353	23	.	.	PUNCT
ejpam-5187	354	1	proof	proof	NOUN
ejpam-5187	354	2	.	.	PUNCT
ejpam-5187	355	1	since	since	SCONJ
ejpam-5187	355	2	jλ	jλ	ADP
ejpam-5187	355	3	a	a	PRON
ejpam-5187	355	4	is	be	AUX
ejpam-5187	355	5	nonexpansive	nonexpansive	ADJ
ejpam-5187	355	6	,	,	PUNCT
ejpam-5187	355	7	the	the	DET
ejpam-5187	355	8	proof	proof	NOUN
ejpam-5187	355	9	follows	follow	VERB
ejpam-5187	355	10	like	like	ADP
ejpam-5187	355	11	that	that	PRON
ejpam-5187	355	12	of	of	ADP
ejpam-5187	355	13	theorem	theorem	NOUN
ejpam-5187	355	14	5	5	NUM
ejpam-5187	355	15	above	above	ADV
ejpam-5187	355	16	,	,	PUNCT
ejpam-5187	355	17	since	since	SCONJ
ejpam-5187	355	18	every	every	DET
ejpam-5187	355	19	nonexpansive	nonexpansive	ADJ
ejpam-5187	355	20	mapping	mapping	NOUN
ejpam-5187	355	21	is	be	AUX
ejpam-5187	355	22	an	an	DET
ejpam-5187	355	23	asymptotically	asymptotically	ADV
ejpam-5187	355	24	nonexpansive	nonexpansive	ADJ
ejpam-5187	355	25	mapping	mapping	NOUN
ejpam-5187	355	26	with	with	ADP
ejpam-5187	355	27	sequence	sequence	NOUN
ejpam-5187	355	28	κn	κn	NOUN
ejpam-5187	355	29	=	=	SYM
ejpam-5187	355	30	1	1	NUM
ejpam-5187	355	31	∀	∀	NOUN
ejpam-5187	355	32	n	n	PRON
ejpam-5187	355	33	≥	≥	NOUN
ejpam-5187	355	34	1	1	NUM
ejpam-5187	355	35	.	.	PUNCT
ejpam-5187	356	1	theorem	theorem	NOUN
ejpam-5187	356	2	7	7	NUM
ejpam-5187	356	3	can	can	AUX
ejpam-5187	356	4	be	be	AUX
ejpam-5187	356	5	applied	apply	VERB
ejpam-5187	356	6	in	in	ADP
ejpam-5187	356	7	solving	solve	VERB
ejpam-5187	356	8	convex	convex	NOUN
ejpam-5187	356	9	optimization	optimization	NOUN
ejpam-5187	356	10	problems	problem	NOUN
ejpam-5187	356	11	of	of	ADP
ejpam-5187	356	12	the	the	DET
ejpam-5187	356	13	form	form	NOUN
ejpam-5187	356	14	mina∈h{h(a	mina∈h{h(a	NOUN
ejpam-5187	356	15	)	)	PUNCT
ejpam-5187	356	16	}	}	PUNCT
ejpam-5187	356	17	,	,	PUNCT
ejpam-5187	356	18	where	where	SCONJ
ejpam-5187	356	19	h	h	NOUN
ejpam-5187	356	20	:	:	PUNCT
ejpam-5187	356	21	h	h	NOUN
ejpam-5187	356	22	→	→	PUNCT
ejpam-5187	356	23	r	r	NOUN
ejpam-5187	356	24	∪	∪	X
ejpam-5187	356	25	{	{	PUNCT
ejpam-5187	356	26	+	+	NOUN
ejpam-5187	356	27	∞	∞	NOUN
ejpam-5187	356	28	}	}	PUNCT
ejpam-5187	356	29	is	be	AUX
ejpam-5187	356	30	a	a	DET
ejpam-5187	356	31	proper	proper	ADJ
ejpam-5187	356	32	,	,	PUNCT
ejpam-5187	356	33	convex	convex	ADJ
ejpam-5187	356	34	and	and	CCONJ
ejpam-5187	356	35	lower	low	ADJ
ejpam-5187	356	36	semicontinuous	semicontinuous	ADJ
ejpam-5187	356	37	function	function	NOUN
ejpam-5187	356	38	.	.	PUNCT
ejpam-5187	357	1	to	to	PART
ejpam-5187	357	2	do	do	VERB
ejpam-5187	357	3	this	this	PRON
ejpam-5187	357	4	,	,	PUNCT
ejpam-5187	357	5	we	we	PRON
ejpam-5187	357	6	recall	recall	VERB
ejpam-5187	357	7	the	the	DET
ejpam-5187	357	8	following	following	NOUN
ejpam-5187	357	9	:	:	PUNCT
ejpam-5187	357	10	if	if	SCONJ
ejpam-5187	357	11	h	h	NOUN
ejpam-5187	357	12	:	:	PUNCT
ejpam-5187	357	13	h	h	NOUN
ejpam-5187	357	14	→	→	PUNCT
ejpam-5187	357	15	r	r	NOUN
ejpam-5187	357	16	∪	∪	X
ejpam-5187	357	17	{	{	PUNCT
ejpam-5187	357	18	+	+	NOUN
ejpam-5187	357	19	∞	∞	NOUN
ejpam-5187	357	20	}	}	PUNCT
ejpam-5187	357	21	is	be	AUX
ejpam-5187	357	22	a	a	DET
ejpam-5187	357	23	proper	proper	ADJ
ejpam-5187	357	24	,	,	PUNCT
ejpam-5187	357	25	convex	convex	ADJ
ejpam-5187	357	26	and	and	CCONJ
ejpam-5187	357	27	lower	low	ADJ
ejpam-5187	357	28	semicontinuous	semicontinuous	ADJ
ejpam-5187	357	29	function	function	NOUN
ejpam-5187	357	30	,	,	PUNCT
ejpam-5187	357	31	then	then	ADV
ejpam-5187	357	32	its	its	PRON
ejpam-5187	357	33	(	(	PUNCT
ejpam-5187	357	34	convex	convex	NOUN
ejpam-5187	357	35	)	)	PUNCT
ejpam-5187	357	36	subdifferential	subdifferential	NOUN
ejpam-5187	357	37	at	at	ADP
ejpam-5187	357	38	a	a	DET
ejpam-5187	357	39	∈	∈	PROPN
ejpam-5187	357	40	h	h	NOUN
ejpam-5187	357	41	is	be	AUX
ejpam-5187	357	42	defined	define	VERB
ejpam-5187	357	43	by	by	ADP
ejpam-5187	357	44	∂h(a	∂h(a	PROPN
ejpam-5187	357	45	)	)	PUNCT
ejpam-5187	357	46	=	=	PRON
ejpam-5187	357	47	{	{	PUNCT
ejpam-5187	357	48	b	b	X
ejpam-5187	357	49	∈	∈	PROPN
ejpam-5187	357	50	h	h	NOUN
ejpam-5187	357	51	:	:	PUNCT
ejpam-5187	357	52	h(u	h(u	PROPN
ejpam-5187	357	53	)	)	PUNCT
ejpam-5187	357	54	≥	≥	X
ejpam-5187	357	55	h(a	h(a	PROPN
ejpam-5187	357	56	)	)	PUNCT
ejpam-5187	358	1	+	+	CCONJ
ejpam-5187	358	2	⟨b	⟨b	NUM
ejpam-5187	358	3	,	,	PUNCT
ejpam-5187	358	4	u−	u−	PROPN
ejpam-5187	358	5	a⟩∀u	a⟩∀u	NOUN
ejpam-5187	358	6	∈	∈	PROPN
ejpam-5187	358	7	h	h	NOUN
ejpam-5187	358	8	}	}	PUNCT
ejpam-5187	358	9	,	,	PUNCT
ejpam-5187	358	10	for	for	ADP
ejpam-5187	358	11	all	all	DET
ejpam-5187	358	12	a	a	DET
ejpam-5187	358	13	∈	∈	PROPN
ejpam-5187	358	14	h	h	NOUN
ejpam-5187	358	15	,	,	PUNCT
ejpam-5187	358	16	with	with	ADP
ejpam-5187	358	17	h(a	h(a	PROPN
ejpam-5187	358	18	)	)	PUNCT
ejpam-5187	359	1	=	=	PUNCT
ejpam-5187	360	1	+	+	PUNCT
ejpam-5187	360	2	∞	∞	PROPN
ejpam-5187	360	3	and	and	CCONJ
ejpam-5187	360	4	∂h(a	∂h(a	NOUN
ejpam-5187	360	5	)	)	PUNCT
ejpam-5187	360	6	=	=	NOUN
ejpam-5187	360	7	∅	∅	NOUN
ejpam-5187	360	8	otherwise	otherwise	ADV
ejpam-5187	360	9	.	.	PUNCT
ejpam-5187	361	1	when	when	SCONJ
ejpam-5187	361	2	the	the	DET
ejpam-5187	361	3	convex	convex	NOUN
ejpam-5187	361	4	subdifferential	subdifferential	NOUN
ejpam-5187	361	5	is	be	AUX
ejpam-5187	361	6	seen	see	VERB
ejpam-5187	361	7	as	as	ADP
ejpam-5187	361	8	a	a	DET
ejpam-5187	361	9	set	set	NOUN
ejpam-5187	361	10	-	-	PUNCT
ejpam-5187	361	11	valued	value	VERB
ejpam-5187	361	12	mapping	mapping	NOUN
ejpam-5187	361	13	,	,	PUNCT
ejpam-5187	361	14	then	then	ADV
ejpam-5187	361	15	,	,	PUNCT
ejpam-5187	361	16	it	it	PRON
ejpam-5187	361	17	is	be	AUX
ejpam-5187	361	18	maximally	maximally	ADV
ejpam-5187	361	19	monotone	monotone	ADJ
ejpam-5187	361	20	(	(	PUNCT
ejpam-5187	361	21	see	see	VERB
ejpam-5187	361	22	[	[	X
ejpam-5187	361	23	22	22	NUM
ejpam-5187	361	24	]	]	PUNCT
ejpam-5187	361	25	)	)	PUNCT
ejpam-5187	361	26	and	and	CCONJ
ejpam-5187	361	27	its	its	PRON
ejpam-5187	361	28	resolvent	resolvent	NOUN
ejpam-5187	361	29	is	be	AUX
ejpam-5187	361	30	given	give	VERB
ejpam-5187	361	31	by	by	ADP
ejpam-5187	361	32	j∂h	j∂h	NOUN
ejpam-5187	361	33	=	=	PUNCT
ejpam-5187	361	34	proxh	proxh	NOUN
ejpam-5187	361	35	(	(	PUNCT
ejpam-5187	361	36	see	see	VERB
ejpam-5187	361	37	[	[	X
ejpam-5187	361	38	2	2	NUM
ejpam-5187	361	39	]	]	NUM
ejpam-5187	361	40	)	)	PUNCT
ejpam-5187	361	41	,	,	PUNCT
ejpam-5187	361	42	where	where	SCONJ
ejpam-5187	361	43	proxh	proxh	NOUN
ejpam-5187	361	44	:	:	PUNCT
ejpam-5187	361	45	h	h	NOUN
ejpam-5187	361	46	→	→	SYM
ejpam-5187	361	47	h	h	NOUN
ejpam-5187	361	48	is	be	AUX
ejpam-5187	361	49	defined	define	VERB
ejpam-5187	361	50	by	by	ADP
ejpam-5187	361	51	proxh(a	proxh(a	NOUN
ejpam-5187	361	52	)	)	PUNCT
ejpam-5187	361	53	=	=	SYM
ejpam-5187	361	54	argminb∈h{h(b	argminb∈h{h(b	PROPN
ejpam-5187	361	55	)	)	PUNCT
ejpam-5187	362	1	+	+	CCONJ
ejpam-5187	362	2	1	1	NUM
ejpam-5187	362	3	2	2	NUM
ejpam-5187	362	4	∥b−	∥b−	NUM
ejpam-5187	362	5	a∥2	a∥2	NOUN
ejpam-5187	362	6	}	}	PUNCT
ejpam-5187	362	7	and	and	CCONJ
ejpam-5187	362	8	is	be	AUX
ejpam-5187	362	9	called	call	VERB
ejpam-5187	362	10	the	the	DET
ejpam-5187	362	11	proximal	proximal	ADJ
ejpam-5187	362	12	operator	operator	NOUN
ejpam-5187	362	13	of	of	ADP
ejpam-5187	362	14	h.	h.	PROPN
ejpam-5187	362	15	we	we	PRON
ejpam-5187	362	16	now	now	ADV
ejpam-5187	362	17	have	have	VERB
ejpam-5187	362	18	the	the	DET
ejpam-5187	362	19	following	following	NOUN
ejpam-5187	362	20	:	:	PUNCT
ejpam-5187	362	21	b.	b.	PROPN
ejpam-5187	362	22	g.	g.	PROPN
ejpam-5187	362	23	akuchu	akuchu	PROPN
ejpam-5187	362	24	et	et	PROPN
ejpam-5187	362	25	al	al	PROPN
ejpam-5187	362	26	.	.	PUNCT
ejpam-5187	362	27	/	/	SYM
ejpam-5187	362	28	eur	eur	PROPN
ejpam-5187	362	29	.	.	PUNCT
ejpam-5187	363	1	j.	j.	PROPN
ejpam-5187	363	2	pure	pure	PROPN
ejpam-5187	363	3	appl	appl	PROPN
ejpam-5187	363	4	.	.	PROPN
ejpam-5187	363	5	math	math	PROPN
ejpam-5187	363	6	,	,	PUNCT
ejpam-5187	363	7	17	17	NUM
ejpam-5187	363	8	(	(	PUNCT
ejpam-5187	363	9	3	3	NUM
ejpam-5187	363	10	)	)	PUNCT
ejpam-5187	363	11	(	(	PUNCT
ejpam-5187	363	12	2024	2024	NUM
ejpam-5187	363	13	)	)	PUNCT
ejpam-5187	363	14	,	,	PUNCT
ejpam-5187	363	15	1602	1602	NUM
ejpam-5187	363	16	-	-	SYM
ejpam-5187	363	17	1617	1617	NUM
ejpam-5187	363	18	1615	1615	NUM
ejpam-5187	363	19	corollary	corollary	NOUN
ejpam-5187	363	20	1	1	NUM
ejpam-5187	363	21	.	.	PUNCT
ejpam-5187	364	1	let	let	VERB
ejpam-5187	364	2	h	h	NOUN
ejpam-5187	364	3	:	:	PUNCT
ejpam-5187	364	4	h	h	NOUN
ejpam-5187	364	5	→	→	PUNCT
ejpam-5187	364	6	r	r	NOUN
ejpam-5187	364	7	∪	∪	X
ejpam-5187	364	8	{	{	PUNCT
ejpam-5187	364	9	+	+	NOUN
ejpam-5187	364	10	∞	∞	NOUN
ejpam-5187	364	11	}	}	PUNCT
ejpam-5187	364	12	be	be	AUX
ejpam-5187	364	13	a	a	DET
ejpam-5187	364	14	set	set	NOUN
ejpam-5187	364	15	-	-	PUNCT
ejpam-5187	364	16	valued	value	VERB
ejpam-5187	364	17	,	,	PUNCT
ejpam-5187	364	18	proper	proper	ADJ
ejpam-5187	364	19	,	,	PUNCT
ejpam-5187	364	20	convex	convex	ADJ
ejpam-5187	364	21	and	and	CCONJ
ejpam-5187	364	22	lower	low	ADJ
ejpam-5187	364	23	semicontinuous	semicontinuous	ADJ
ejpam-5187	364	24	function	function	NOUN
ejpam-5187	364	25	which	which	PRON
ejpam-5187	364	26	is	be	AUX
ejpam-5187	364	27	such	such	ADJ
ejpam-5187	364	28	that	that	DET
ejpam-5187	364	29	argmina∈h{h(a	argmina∈h{h(a	NOUN
ejpam-5187	364	30	)	)	PUNCT
ejpam-5187	364	31	}	}	PUNCT
ejpam-5187	365	1	=	=	SYM
ejpam-5187	365	2	̸	̸	X
ejpam-5187	365	3	∅.	∅.	ADV
ejpam-5187	365	4	then	then	ADV
ejpam-5187	365	5	the	the	DET
ejpam-5187	365	6	modified	modified	ADJ
ejpam-5187	365	7	inertial	inertial	ADJ
ejpam-5187	365	8	krasnosel’skii	krasnosel’skii	PROPN
ejpam-5187	365	9	-	-	PUNCT
ejpam-5187	365	10	mann	mann	PROPN
ejpam-5187	365	11	sequence	sequence	NOUN
ejpam-5187	365	12	{	{	PUNCT
ejpam-5187	365	13	an	an	PRON
ejpam-5187	365	14	}	}	PUNCT
ejpam-5187	365	15	generated	generate	VERB
ejpam-5187	365	16	from	from	ADP
ejpam-5187	365	17	a0	a0	NOUN
ejpam-5187	365	18	,	,	PUNCT
ejpam-5187	365	19	a1	a1	NOUN
ejpam-5187	365	20	∈	∈	PROPN
ejpam-5187	365	21	h	h	NOUN
ejpam-5187	365	22	by	by	ADP
ejpam-5187	365	23	{	{	PUNCT
ejpam-5187	365	24	bn	bn	NOUN
ejpam-5187	365	25	=	=	SYM
ejpam-5187	365	26	an	an	DET
ejpam-5187	365	27	+	+	NUM
ejpam-5187	365	28	νn(an	νn(an	PROPN
ejpam-5187	365	29	−	−	X
ejpam-5187	365	30	an−1	an−1	ADJ
ejpam-5187	365	31	)	)	PUNCT
ejpam-5187	365	32	an+1	an+1	NOUN
ejpam-5187	365	33	=	=	SYM
ejpam-5187	365	34	(	(	PUNCT
ejpam-5187	365	35	1−	1−	NUM
ejpam-5187	365	36	ξn)bn	ξn)bn	NUM
ejpam-5187	365	37	+	+	NUM
ejpam-5187	365	38	ξnprox	ξnprox	PROPN
ejpam-5187	365	39	λ	λ	X
ejpam-5187	365	40	hbn	hbn	NOUN
ejpam-5187	365	41	where	where	SCONJ
ejpam-5187	365	42	{	{	PUNCT
ejpam-5187	365	43	ξn	ξn	NOUN
ejpam-5187	365	44	}	}	PUNCT
ejpam-5187	365	45	and	and	CCONJ
ejpam-5187	365	46	{	{	PUNCT
ejpam-5187	365	47	∋n	∋n	NOUN
ejpam-5187	365	48	}	}	PUNCT
ejpam-5187	365	49	are	be	AUX
ejpam-5187	365	50	real	real	ADJ
ejpam-5187	365	51	sequences	sequence	NOUN
ejpam-5187	365	52	in	in	ADP
ejpam-5187	365	53	(	(	PUNCT
ejpam-5187	365	54	0	0	NUM
ejpam-5187	365	55	,	,	PUNCT
ejpam-5187	365	56	1	1	NUM
ejpam-5187	365	57	)	)	PUNCT
ejpam-5187	365	58	,	,	PUNCT
ejpam-5187	365	59	satisfying	satisfy	VERB
ejpam-5187	365	60	:	:	PUNCT
ejpam-5187	365	61	(	(	PUNCT
ejpam-5187	365	62	i	i	NOUN
ejpam-5187	365	63	)	)	PUNCT
ejpam-5187	365	64	(	(	PUNCT
ejpam-5187	365	65	i	i	NOUN
ejpam-5187	365	66	)	)	PUNCT
ejpam-5187	365	67	0	0	PUNCT
ejpam-5187	366	1	<	<	X
ejpam-5187	366	2	α1	α1	PROPN
ejpam-5187	366	3	≤	≤	NUM
ejpam-5187	366	4	ξn	ξn	PROPN
ejpam-5187	366	5	≤	≤	ADJ
ejpam-5187	366	6	α2	α2	NOUN
ejpam-5187	366	7	<	<	X
ejpam-5187	366	8	1	1	NUM
ejpam-5187	366	9	for	for	ADP
ejpam-5187	366	10	some	some	DET
ejpam-5187	366	11	real	real	ADJ
ejpam-5187	366	12	constants	constant	NOUN
ejpam-5187	366	13	α1	α1	PROPN
ejpam-5187	366	14	,	,	PUNCT
ejpam-5187	366	15	α2	α2	PROPN
ejpam-5187	366	16	∈	∈	PROPN
ejpam-5187	366	17	(	(	PUNCT
ejpam-5187	366	18	0	0	NUM
ejpam-5187	366	19	,	,	PUNCT
ejpam-5187	366	20	1	1	NUM
ejpam-5187	366	21	)	)	PUNCT
ejpam-5187	366	22	,	,	PUNCT
ejpam-5187	366	23	(	(	PUNCT
ejpam-5187	366	24	ii	ii	NOUN
ejpam-5187	366	25	)	)	PUNCT
ejpam-5187	366	26	(	(	PUNCT
ejpam-5187	366	27	ii	ii	NOUN
ejpam-5187	366	28	)	)	PUNCT
ejpam-5187	366	29	∑	∑	PUNCT
ejpam-5187	366	30	νn	νn	VERB
ejpam-5187	366	31	<	<	X
ejpam-5187	366	32	+	+	PROPN
ejpam-5187	366	33	∞	∞	PROPN
ejpam-5187	366	34	(	(	PUNCT
ejpam-5187	366	35	iii	iii	NOUN
ejpam-5187	366	36	)	)	PUNCT
ejpam-5187	366	37	(	(	PUNCT
ejpam-5187	366	38	iii	iii	X
ejpam-5187	366	39	)	)	PUNCT
ejpam-5187	366	40	∑	∑	PROPN
ejpam-5187	366	41	νn∥an	νn∥an	PROPN
ejpam-5187	366	42	−	−	PROPN
ejpam-5187	367	1	an−1∥2	an−1∥2	PROPN
ejpam-5187	367	2	<	<	X
ejpam-5187	368	1	+	+	NOUN
ejpam-5187	368	2	∞	∞	PROPN
ejpam-5187	368	3	converges	converge	VERB
ejpam-5187	368	4	weakly	weakly	ADJ
ejpam-5187	368	5	to	to	ADP
ejpam-5187	368	6	an	an	DET
ejpam-5187	368	7	element	element	NOUN
ejpam-5187	368	8	of	of	ADP
ejpam-5187	368	9	argmina∈h{h(a	argmina∈h{h(a	NOUN
ejpam-5187	368	10	)	)	PUNCT
ejpam-5187	368	11	}	}	PUNCT
ejpam-5187	368	12	.	.	PUNCT
ejpam-5187	369	1	proof	proof	NOUN
ejpam-5187	369	2	:	:	PUNCT
ejpam-5187	369	3	setting	set	VERB
ejpam-5187	369	4	∂h	∂h	PROPN
ejpam-5187	369	5	=	=	SYM
ejpam-5187	369	6	a	a	PROPN
ejpam-5187	369	7	,	,	PUNCT
ejpam-5187	369	8	the	the	DET
ejpam-5187	369	9	proof	proof	NOUN
ejpam-5187	369	10	follows	follow	VERB
ejpam-5187	369	11	as	as	ADP
ejpam-5187	369	12	in	in	ADP
ejpam-5187	369	13	the	the	DET
ejpam-5187	369	14	proof	proof	NOUN
ejpam-5187	369	15	of	of	ADP
ejpam-5187	369	16	theorem	theorem	NOUN
ejpam-5187	369	17	7	7	NUM
ejpam-5187	369	18	since	since	SCONJ
ejpam-5187	369	19	the	the	DET
ejpam-5187	369	20	zero	zero	NUM
ejpam-5187	369	21	of	of	ADP
ejpam-5187	369	22	∂h	∂h	PROPN
ejpam-5187	369	23	is	be	AUX
ejpam-5187	369	24	an	an	DET
ejpam-5187	369	25	element	element	NOUN
ejpam-5187	369	26	of	of	ADP
ejpam-5187	369	27	argmina∈h{h(a	argmina∈h{h(a	NOUN
ejpam-5187	369	28	)	)	PUNCT
ejpam-5187	369	29	.	.	PUNCT
ejpam-5187	370	1	remark	remark	PROPN
ejpam-5187	370	2	1	1	NUM
ejpam-5187	370	3	.	.	PUNCT
ejpam-5187	371	1	if	if	SCONJ
ejpam-5187	371	2	we	we	PRON
ejpam-5187	371	3	let	let	VERB
ejpam-5187	371	4	{	{	PUNCT
ejpam-5187	371	5	σn	σn	NOUN
ejpam-5187	371	6	}	}	PUNCT
ejpam-5187	371	7	⊂	⊂	PROPN
ejpam-5187	371	8	(	(	PUNCT
ejpam-5187	371	9	0	0	NUM
ejpam-5187	371	10	,	,	PUNCT
ejpam-5187	371	11	1	1	NUM
ejpam-5187	371	12	)	)	PUNCT
ejpam-5187	371	13	such	such	ADJ
ejpam-5187	371	14	that	that	SCONJ
ejpam-5187	371	15	∑	∑	ADP
ejpam-5187	371	16	σn	σn	X
ejpam-5187	371	17	<	<	X
ejpam-5187	371	18	∞	∞	PROPN
ejpam-5187	371	19	and	and	CCONJ
ejpam-5187	371	20	choose	choose	VERB
ejpam-5187	371	21	νn	νn	PRON
ejpam-5187	371	22	∈	∈	PROPN
ejpam-5187	372	1	[	[	X
ejpam-5187	372	2	0	0	NUM
ejpam-5187	372	3	,	,	PUNCT
ejpam-5187	372	4	ν̄n	ν̄n	PROPN
ejpam-5187	372	5	]	]	PUNCT
ejpam-5187	372	6	with	with	ADP
ejpam-5187	372	7	ν̄n	ν̄n	PROPN
ejpam-5187	372	8	=	=	SYM
ejpam-5187	372	9	min{σ2n	min{σ2n	PROPN
ejpam-5187	372	10	,	,	PUNCT
ejpam-5187	372	11	1	1	NUM
ejpam-5187	372	12	n2∥an−an−1∥2p	n2∥an−an−1∥2p	PROPN
ejpam-5187	372	13	}	}	PUNCT
ejpam-5187	372	14	,	,	PUNCT
ejpam-5187	372	15	then	then	ADV
ejpam-5187	372	16	conditions	condition	NOUN
ejpam-5187	372	17	(	(	PUNCT
ejpam-5187	372	18	i	i	NOUN
ejpam-5187	372	19	)	)	PUNCT
ejpam-5187	372	20	and	and	CCONJ
ejpam-5187	372	21	(	(	PUNCT
ejpam-5187	372	22	iii	iii	NOUN
ejpam-5187	372	23	)	)	PUNCT
ejpam-5187	372	24	of	of	ADP
ejpam-5187	372	25	theorem	theorem	ADJ
ejpam-5187	372	26	4	4	NUM
ejpam-5187	372	27	hold	hold	NOUN
ejpam-5187	372	28	.	.	PUNCT
ejpam-5187	373	1	remark	remark	NOUN
ejpam-5187	373	2	2	2	NUM
ejpam-5187	373	3	.	.	PUNCT
ejpam-5187	374	1	if	if	SCONJ
ejpam-5187	374	2	we	we	PRON
ejpam-5187	374	3	let	let	VERB
ejpam-5187	374	4	{	{	PUNCT
ejpam-5187	374	5	σn	σn	NOUN
ejpam-5187	374	6	}	}	PUNCT
ejpam-5187	374	7	⊂	⊂	PROPN
ejpam-5187	374	8	(	(	PUNCT
ejpam-5187	374	9	0	0	NUM
ejpam-5187	374	10	,	,	PUNCT
ejpam-5187	374	11	1	1	NUM
ejpam-5187	374	12	)	)	PUNCT
ejpam-5187	374	13	such	such	ADJ
ejpam-5187	374	14	that	that	SCONJ
ejpam-5187	374	15	∑	∑	ADP
ejpam-5187	374	16	σn	σn	X
ejpam-5187	374	17	<	<	X
ejpam-5187	374	18	+	+	NOUN
ejpam-5187	374	19	∞	∞	NUM
ejpam-5187	374	20	and	and	CCONJ
ejpam-5187	374	21	choose	choose	VERB
ejpam-5187	374	22	νn	νn	PRON
ejpam-5187	374	23	∈	∈	PROPN
ejpam-5187	375	1	[	[	X
ejpam-5187	375	2	0	0	NUM
ejpam-5187	375	3	,	,	PUNCT
ejpam-5187	375	4	ν̄n	ν̄n	PROPN
ejpam-5187	375	5	]	]	PUNCT
ejpam-5187	375	6	with	with	ADP
ejpam-5187	375	7	ν̄n	ν̄n	PROPN
ejpam-5187	375	8	=	=	SYM
ejpam-5187	375	9	min{σn	min{σn	PROPN
ejpam-5187	375	10	,	,	PUNCT
ejpam-5187	375	11	1	1	NUM
ejpam-5187	375	12	n2∥an−an−1∥2	n2∥an−an−1∥2	PROPN
ejpam-5187	375	13	}	}	PUNCT
ejpam-5187	375	14	,	,	PUNCT
ejpam-5187	375	15	then	then	ADV
ejpam-5187	375	16	conditions	condition	NOUN
ejpam-5187	375	17	(	(	PUNCT
ejpam-5187	375	18	ii	ii	NOUN
ejpam-5187	375	19	)	)	PUNCT
ejpam-5187	375	20	and	and	CCONJ
ejpam-5187	375	21	(	(	PUNCT
ejpam-5187	375	22	iii	iii	NOUN
ejpam-5187	375	23	)	)	PUNCT
ejpam-5187	375	24	of	of	ADP
ejpam-5187	375	25	theorem	theorem	ADJ
ejpam-5187	375	26	5	5	NUM
ejpam-5187	375	27	hold	hold	NOUN
ejpam-5187	375	28	.	.	PUNCT
ejpam-5187	376	1	remark	remark	NOUN
ejpam-5187	376	2	3	3	NUM
ejpam-5187	376	3	.	.	PUNCT
ejpam-5187	377	1	it	it	PRON
ejpam-5187	377	2	is	be	AUX
ejpam-5187	377	3	necessary	necessary	ADJ
ejpam-5187	377	4	to	to	PART
ejpam-5187	377	5	restrict	restrict	VERB
ejpam-5187	377	6	p	p	PRON
ejpam-5187	377	7	>	>	X
ejpam-5187	377	8	1	1	NUM
ejpam-5187	377	9	to	to	PART
ejpam-5187	377	10	be	be	AUX
ejpam-5187	377	11	a	a	DET
ejpam-5187	377	12	positive	positive	ADJ
ejpam-5187	377	13	integer	integer	NOUN
ejpam-5187	377	14	in	in	ADP
ejpam-5187	377	15	order	order	NOUN
ejpam-5187	377	16	to	to	PART
ejpam-5187	377	17	be	be	AUX
ejpam-5187	377	18	able	able	ADJ
ejpam-5187	377	19	to	to	PART
ejpam-5187	377	20	evaluate	evaluate	VERB
ejpam-5187	377	21	wp(1	wp(1	NOUN
ejpam-5187	377	22	+	+	CCONJ
ejpam-5187	377	23	νn	νn	NOUN
ejpam-5187	377	24	)	)	PUNCT
ejpam-5187	377	25	,	,	PUNCT
ejpam-5187	377	26	resulting	result	VERB
ejpam-5187	377	27	from	from	ADP
ejpam-5187	377	28	the	the	DET
ejpam-5187	377	29	application	application	NOUN
ejpam-5187	377	30	of	of	ADP
ejpam-5187	377	31	the	the	DET
ejpam-5187	377	32	functional	functional	ADJ
ejpam-5187	377	33	wp	wp	PROPN
ejpam-5187	377	34	(	(	PUNCT
ejpam-5187	377	35	.	.	PUNCT
ejpam-5187	377	36	)	)	PUNCT
ejpam-5187	377	37	defined	define	VERB
ejpam-5187	377	38	in	in	ADP
ejpam-5187	377	39	lemma	lemma	PROPN
ejpam-5187	377	40	3	3	NUM
ejpam-5187	377	41	,	,	PUNCT
ejpam-5187	377	42	which	which	PRON
ejpam-5187	377	43	is	be	AUX
ejpam-5187	377	44	crucial	crucial	ADJ
ejpam-5187	377	45	for	for	ADP
ejpam-5187	377	46	the	the	DET
ejpam-5187	377	47	proofs	proof	NOUN
ejpam-5187	377	48	of	of	ADP
ejpam-5187	377	49	our	our	PRON
ejpam-5187	377	50	theorems	theorem	NOUN
ejpam-5187	377	51	.	.	PUNCT
ejpam-5187	378	1	remark	remark	PROPN
ejpam-5187	378	2	4	4	NUM
ejpam-5187	378	3	.	.	NOUN
ejpam-5187	379	1	amongst	amongst	ADP
ejpam-5187	379	2	other	other	ADJ
ejpam-5187	379	3	things	thing	NOUN
ejpam-5187	379	4	,	,	PUNCT
ejpam-5187	379	5	our	our	PRON
ejpam-5187	379	6	results	result	NOUN
ejpam-5187	379	7	take	take	VERB
ejpam-5187	379	8	care	care	NOUN
ejpam-5187	379	9	of	of	ADP
ejpam-5187	379	10	the	the	DET
ejpam-5187	379	11	comments	comment	NOUN
ejpam-5187	379	12	made	make	VERB
ejpam-5187	379	13	in	in	ADP
ejpam-5187	379	14	observation	observation	NOUN
ejpam-5187	379	15	2	2	NUM
ejpam-5187	379	16	above	above	ADV
ejpam-5187	379	17	.	.	PUNCT
ejpam-5187	380	1	remark	remark	NOUN
ejpam-5187	380	2	5	5	NUM
ejpam-5187	380	3	.	.	PUNCT
ejpam-5187	381	1	we	we	PRON
ejpam-5187	381	2	do	do	AUX
ejpam-5187	381	3	not	not	PART
ejpam-5187	381	4	require	require	VERB
ejpam-5187	381	5	any	any	DET
ejpam-5187	381	6	boundedess	boundedess	NOUN
ejpam-5187	381	7	condition	condition	NOUN
ejpam-5187	381	8	similar	similar	ADJ
ejpam-5187	381	9	to	to	ADP
ejpam-5187	381	10	that	that	PRON
ejpam-5187	381	11	on	on	ADP
ejpam-5187	381	12	{	{	PUNCT
ejpam-5187	381	13	t	t	NOUN
ejpam-5187	381	14	nwn	nwn	ADJ
ejpam-5187	381	15	−wn	−wn	NOUN
ejpam-5187	381	16	}	}	PUNCT
ejpam-5187	381	17	in	in	ADP
ejpam-5187	381	18	[	[	X
ejpam-5187	381	19	11	11	NUM
ejpam-5187	381	20	]	]	PUNCT
ejpam-5187	381	21	,	,	PUNCT
ejpam-5187	381	22	for	for	SCONJ
ejpam-5187	381	23	our	our	PRON
ejpam-5187	381	24	results	result	NOUN
ejpam-5187	381	25	to	to	PART
ejpam-5187	381	26	hold	hold	VERB
ejpam-5187	381	27	.	.	PUNCT
ejpam-5187	382	1	competing	compete	VERB
ejpam-5187	382	2	interests	interest	NOUN
ejpam-5187	382	3	:	:	PUNCT
ejpam-5187	382	4	the	the	DET
ejpam-5187	382	5	authors	author	NOUN
ejpam-5187	382	6	declare	declare	VERB
ejpam-5187	382	7	that	that	SCONJ
ejpam-5187	382	8	there	there	PRON
ejpam-5187	382	9	are	be	VERB
ejpam-5187	382	10	no	no	DET
ejpam-5187	382	11	competing	compete	VERB
ejpam-5187	382	12	interests	interest	NOUN
ejpam-5187	382	13	surrounding	surround	VERB
ejpam-5187	382	14	the	the	DET
ejpam-5187	382	15	research	research	NOUN
ejpam-5187	382	16	work	work	NOUN
ejpam-5187	382	17	carried	carry	VERB
ejpam-5187	382	18	out	out	ADP
ejpam-5187	382	19	herein	herein	NOUN
ejpam-5187	382	20	.	.	PUNCT
ejpam-5187	383	1	acknowledgements	acknowledgement	NOUN
ejpam-5187	383	2	the	the	DET
ejpam-5187	383	3	authors	author	NOUN
ejpam-5187	383	4	are	be	AUX
ejpam-5187	383	5	grateful	grateful	ADJ
ejpam-5187	383	6	to	to	ADP
ejpam-5187	383	7	department	department	NOUN
ejpam-5187	383	8	of	of	ADP
ejpam-5187	383	9	mathematics	mathematic	NOUN
ejpam-5187	383	10	and	and	CCONJ
ejpam-5187	383	11	applied	apply	VERB
ejpam-5187	383	12	mathematics	mathematic	NOUN
ejpam-5187	383	13	,	,	PUNCT
ejpam-5187	383	14	sefako	sefako	ADJ
ejpam-5187	383	15	makgato	makgato	ADJ
ejpam-5187	383	16	health	health	PROPN
ejpam-5187	383	17	science	science	PROPN
ejpam-5187	383	18	university	university	PROPN
ejpam-5187	383	19	,	,	PUNCT
ejpam-5187	383	20	pretoria	pretoria	PROPN
ejpam-5187	383	21	0204	0204	NUM
ejpam-5187	383	22	,	,	PUNCT
ejpam-5187	383	23	south	south	PROPN
ejpam-5187	383	24	africa	africa	PROPN
ejpam-5187	383	25	for	for	ADP
ejpam-5187	383	26	supporting	support	VERB
ejpam-5187	383	27	this	this	DET
ejpam-5187	383	28	research	research	NOUN
ejpam-5187	383	29	work	work	NOUN
ejpam-5187	383	30	.	.	PUNCT
ejpam-5187	384	1	references	reference	NOUN
ejpam-5187	384	2	1616	1616	NUM
ejpam-5187	384	3	references	reference	NOUN
ejpam-5187	384	4	[	[	X
ejpam-5187	384	5	1	1	NUM
ejpam-5187	384	6	]	]	X
ejpam-5187	384	7	f	f	PROPN
ejpam-5187	384	8	alvarez	alvarez	PROPN
ejpam-5187	384	9	and	and	CCONJ
ejpam-5187	384	10	h	h	PROPN
ejpam-5187	384	11	attouch	attouch	ADJ
ejpam-5187	384	12	.	.	PUNCT
ejpam-5187	385	1	an	an	DET
ejpam-5187	385	2	inertial	inertial	ADJ
ejpam-5187	385	3	proximal	proximal	ADJ
ejpam-5187	385	4	method	method	NOUN
ejpam-5187	385	5	for	for	ADP
ejpam-5187	385	6	maximal	maximal	ADJ
ejpam-5187	385	7	monotone	monotone	ADJ
ejpam-5187	385	8	operators	operator	NOUN
ejpam-5187	385	9	via	via	ADP
ejpam-5187	385	10	discretization	discretization	NOUN
ejpam-5187	385	11	of	of	ADP
ejpam-5187	385	12	a	a	DET
ejpam-5187	385	13	nonlinear	nonlinear	ADJ
ejpam-5187	385	14	oscillator	oscillator	NOUN
ejpam-5187	385	15	with	with	ADP
ejpam-5187	385	16	damping	damp	VERB
ejpam-5187	385	17	.	.	PUNCT
ejpam-5187	386	1	set	set	VERB
ejpam-5187	386	2	value	value	NOUN
ejpam-5187	386	3	anal	anal	NOUN
ejpam-5187	386	4	.	.	PUNCT
ejpam-5187	386	5	,	,	PUNCT
ejpam-5187	386	6	9:3–11	9:3–11	NUM
ejpam-5187	386	7	,	,	PUNCT
ejpam-5187	386	8	2001	2001	NUM
ejpam-5187	386	9	.	.	PUNCT
ejpam-5187	387	1	[	[	X
ejpam-5187	387	2	2	2	NUM
ejpam-5187	387	3	]	]	PUNCT
ejpam-5187	387	4	h	h	NOUN
ejpam-5187	387	5	h	h	NOUN
ejpam-5187	387	6	bauschke	bauschke	NOUN
ejpam-5187	387	7	and	and	CCONJ
ejpam-5187	387	8	p	p	NOUN
ejpam-5187	387	9	l	l	NOUN
ejpam-5187	387	10	combettes	combette	NOUN
ejpam-5187	387	11	.	.	PUNCT
ejpam-5187	388	1	convex	convex	VERB
ejpam-5187	388	2	analysis	analysis	NOUN
ejpam-5187	388	3	and	and	CCONJ
ejpam-5187	388	4	monotone	monotone	ADJ
ejpam-5187	388	5	operator	operator	NOUN
ejpam-5187	388	6	theory	theory	NOUN
ejpam-5187	388	7	in	in	ADP
ejpam-5187	388	8	hilbert	hilbert	PROPN
ejpam-5187	388	9	spaces	space	NOUN
ejpam-5187	388	10	.	.	PUNCT
ejpam-5187	389	1	springer	springer	NOUN
ejpam-5187	389	2	,	,	PUNCT
ejpam-5187	389	3	new	new	PROPN
ejpam-5187	389	4	york	york	PROPN
ejpam-5187	389	5	dordreecht	dordreecht	PROPN
ejpam-5187	389	6	london	london	PROPN
ejpam-5187	389	7	,	,	PUNCT
ejpam-5187	389	8	2011	2011	NUM
ejpam-5187	389	9	.	.	PUNCT
ejpam-5187	390	1	[	[	X
ejpam-5187	390	2	3	3	X
ejpam-5187	390	3	]	]	X
ejpam-5187	390	4	a	a	DET
ejpam-5187	390	5	beck	beck	NOUN
ejpam-5187	390	6	and	and	CCONJ
ejpam-5187	390	7	m	m	NOUN
ejpam-5187	390	8	teboulle	teboulle	NOUN
ejpam-5187	390	9	.	.	PUNCT
ejpam-5187	391	1	a	a	DET
ejpam-5187	391	2	fast	fast	ADJ
ejpam-5187	391	3	iterative	iterative	NOUN
ejpam-5187	391	4	shrinkage	shrinkage	NOUN
ejpam-5187	391	5	thresholding	thresholde	VERB
ejpam-5187	391	6	algorithm	algorithm	NOUN
ejpam-5187	391	7	for	for	ADP
ejpam-5187	391	8	linear	linear	ADJ
ejpam-5187	391	9	inverse	inverse	NOUN
ejpam-5187	391	10	problem	problem	NOUN
ejpam-5187	391	11	.	.	PUNCT
ejpam-5187	392	1	siam	siam	PROPN
ejpam-5187	392	2	j.	j.	PROPN
ejpam-5187	392	3	imaging	imaging	PROPN
ejpam-5187	392	4	sci	sci	PROPN
ejpam-5187	392	5	.	.	PROPN
ejpam-5187	392	6	,	,	PUNCT
ejpam-5187	392	7	2:183–202	2:183–202	NUM
ejpam-5187	392	8	,	,	PUNCT
ejpam-5187	392	9	2009	2009	NUM
ejpam-5187	392	10	.	.	PUNCT
ejpam-5187	393	1	[	[	X
ejpam-5187	393	2	4	4	NUM
ejpam-5187	393	3	]	]	X
ejpam-5187	393	4	r	r	NOUN
ejpam-5187	393	5	i	i	PRON
ejpam-5187	393	6	bot	bot	VERB
ejpam-5187	393	7	,	,	PUNCT
ejpam-5187	393	8	e	e	PROPN
ejpam-5187	393	9	r	r	NOUN
ejpam-5187	393	10	csetnek	csetnek	NOUN
ejpam-5187	393	11	,	,	PUNCT
ejpam-5187	393	12	and	and	CCONJ
ejpam-5187	393	13	c	c	AUX
ejpam-5187	393	14	hendrich	hendrich	PROPN
ejpam-5187	393	15	.	.	PUNCT
ejpam-5187	394	1	inertial	inertial	PROPN
ejpam-5187	394	2	douglas	douglas	PROPN
ejpam-5187	394	3	–	–	PUNCT
ejpam-5187	394	4	rachford	rachford	ADJ
ejpam-5187	394	5	splitting	splitting	NOUN
ejpam-5187	394	6	for	for	ADP
ejpam-5187	394	7	monotone	monotone	ADJ
ejpam-5187	394	8	inclusion	inclusion	NOUN
ejpam-5187	394	9	problems	problem	NOUN
ejpam-5187	394	10	.	.	PUNCT
ejpam-5187	395	1	appl	appl	PROPN
ejpam-5187	395	2	.	.	PROPN
ejpam-5187	395	3	math	math	PROPN
ejpam-5187	395	4	.	.	PUNCT
ejpam-5187	396	1	comput	comput	NOUN
ejpam-5187	396	2	.	.	PUNCT
ejpam-5187	396	3	,	,	PUNCT
ejpam-5187	396	4	256:472–487	256:472–487	NUM
ejpam-5187	396	5	,	,	PUNCT
ejpam-5187	396	6	2015	2015	NUM
ejpam-5187	396	7	.	.	PUNCT
ejpam-5187	397	1	[	[	X
ejpam-5187	397	2	5	5	NUM
ejpam-5187	397	3	]	]	SYM
ejpam-5187	397	4	f	f	PROPN
ejpam-5187	397	5	e	e	PROPN
ejpam-5187	397	6	browder	browder	PROPN
ejpam-5187	397	7	.	.	PUNCT
ejpam-5187	398	1	nonlinear	nonlinear	ADJ
ejpam-5187	398	2	accretive	accretive	ADJ
ejpam-5187	398	3	operators	operator	NOUN
ejpam-5187	398	4	in	in	ADP
ejpam-5187	398	5	banach	banach	NOUN
ejpam-5187	398	6	spaces	space	NOUN
ejpam-5187	398	7	.	.	PUNCT
ejpam-5187	399	1	bull	bull	NOUN
ejpam-5187	399	2	.	.	PUNCT
ejpam-5187	400	1	amer	amer	PROPN
ejpam-5187	400	2	.	.	PUNCT
ejpam-5187	400	3	math	math	PROPN
ejpam-5187	400	4	.	.	PUNCT
ejpam-5187	401	1	soc	soc	PROPN
ejpam-5187	401	2	.	.	PUNCT
ejpam-5187	401	3	,	,	PUNCT
ejpam-5187	402	1	73:470–476	73:470–476	PROPN
ejpam-5187	402	2	,	,	PUNCT
ejpam-5187	402	3	1967	1967	NUM
ejpam-5187	402	4	.	.	PUNCT
ejpam-5187	403	1	[	[	X
ejpam-5187	403	2	6	6	NUM
ejpam-5187	403	3	]	]	PUNCT
ejpam-5187	403	4	l	l	NOUN
ejpam-5187	403	5	c	c	PROPN
ejpam-5187	403	6	ceng	ceng	PROPN
ejpam-5187	403	7	,	,	PUNCT
ejpam-5187	403	8	a	a	DET
ejpam-5187	403	9	petruse	petruse	NOUN
ejpam-5187	403	10	,	,	PUNCT
ejpam-5187	403	11	x	x	X
ejpam-5187	403	12	qin	qin	INTJ
ejpam-5187	403	13	,	,	PUNCT
ejpam-5187	403	14	and	and	CCONJ
ejpam-5187	403	15	j	j	PROPN
ejpam-5187	403	16	c	c	PROPN
ejpam-5187	403	17	yao	yao	PROPN
ejpam-5187	403	18	.	.	PUNCT
ejpam-5187	404	1	a	a	DET
ejpam-5187	404	2	modified	modify	VERB
ejpam-5187	404	3	inertial	inertial	ADJ
ejpam-5187	404	4	subgradient	subgradient	NOUN
ejpam-5187	404	5	extragradient	extragradient	NOUN
ejpam-5187	404	6	method	method	NOUN
ejpam-5187	404	7	for	for	ADP
ejpam-5187	404	8	solving	solve	VERB
ejpam-5187	404	9	pseudomonotone	pseudomonotone	ADP
ejpam-5187	404	10	variational	variational	ADJ
ejpam-5187	404	11	inequalities	inequality	NOUN
ejpam-5187	404	12	and	and	CCONJ
ejpam-5187	404	13	common	common	ADJ
ejpam-5187	404	14	fixed	fix	VERB
ejpam-5187	404	15	point	point	NOUN
ejpam-5187	404	16	problems	problem	NOUN
ejpam-5187	404	17	.	.	PUNCT
ejpam-5187	405	1	fixed	fix	VERB
ejpam-5187	405	2	point	point	NOUN
ejpam-5187	405	3	theory	theory	NOUN
ejpam-5187	405	4	,	,	PUNCT
ejpam-5187	405	5	21:93–108	21:93–108	NUM
ejpam-5187	405	6	,	,	PUNCT
ejpam-5187	405	7	2020	2020	NUM
ejpam-5187	405	8	.	.	PUNCT
ejpam-5187	406	1	[	[	X
ejpam-5187	406	2	7	7	X
ejpam-5187	406	3	]	]	SYM
ejpam-5187	406	4	q	q	PROPN
ejpam-5187	406	5	l	l	NOUN
ejpam-5187	406	6	dong	dong	PROPN
ejpam-5187	406	7	,	,	PUNCT
ejpam-5187	406	8	y	y	PROPN
ejpam-5187	406	9	j	j	PROPN
ejpam-5187	406	10	cho	cho	PROPN
ejpam-5187	406	11	,	,	PUNCT
ejpam-5187	406	12	and	and	CCONJ
ejpam-5187	406	13	t	t	PROPN
ejpam-5187	406	14	m	m	NOUN
ejpam-5187	406	15	rassias	rassias	PROPN
ejpam-5187	406	16	.	.	PUNCT
ejpam-5187	407	1	general	general	ADJ
ejpam-5187	407	2	inertial	inertial	ADJ
ejpam-5187	407	3	mann	mann	NOUN
ejpam-5187	407	4	algorithms	algorithm	NOUN
ejpam-5187	407	5	and	and	CCONJ
ejpam-5187	407	6	their	their	PRON
ejpam-5187	407	7	convergence	convergence	NOUN
ejpam-5187	407	8	analysis	analysis	NOUN
ejpam-5187	407	9	for	for	ADP
ejpam-5187	407	10	nonexpansive	nonexpansive	ADJ
ejpam-5187	407	11	mappings	mapping	NOUN
ejpam-5187	407	12	.	.	PUNCT
ejpam-5187	408	1	springer	springer	NOUN
ejpam-5187	408	2	optimization	optimization	NOUN
ejpam-5187	408	3	and	and	CCONJ
ejpam-5187	408	4	its	its	PRON
ejpam-5187	408	5	applications	application	NOUN
ejpam-5187	408	6	,	,	PUNCT
ejpam-5187	408	7	134:175–191	134:175–191	NUM
ejpam-5187	408	8	,	,	PUNCT
ejpam-5187	408	9	2018	2018	NUM
ejpam-5187	408	10	.	.	PUNCT
ejpam-5187	409	1	[	[	X
ejpam-5187	409	2	8	8	NUM
ejpam-5187	409	3	]	]	X
ejpam-5187	409	4	j	j	PROPN
ejpam-5187	409	5	fan	fan	PROPN
ejpam-5187	409	6	,	,	PUNCT
ejpam-5187	409	7	l	l	PROPN
ejpam-5187	409	8	liu	liu	PROPN
ejpam-5187	409	9	,	,	PUNCT
ejpam-5187	409	10	and	and	CCONJ
ejpam-5187	409	11	x	x	PUNCT
ejpam-5187	409	12	qin	qin	PROPN
ejpam-5187	409	13	.	.	PUNCT
ejpam-5187	410	1	a	a	DET
ejpam-5187	410	2	subgradient	subgradient	ADJ
ejpam-5187	410	3	extragradient	extragradient	NOUN
ejpam-5187	410	4	algorithm	algorithm	NOUN
ejpam-5187	410	5	with	with	ADP
ejpam-5187	410	6	inertial	inertial	ADJ
ejpam-5187	410	7	effects	effect	NOUN
ejpam-5187	410	8	for	for	ADP
ejpam-5187	410	9	solving	solve	VERB
ejpam-5187	410	10	strongly	strongly	ADV
ejpam-5187	410	11	pseudomonotone	pseudomonotone	ADJ
ejpam-5187	410	12	variational	variational	ADJ
ejpam-5187	410	13	inequalities	inequality	NOUN
ejpam-5187	410	14	.	.	PUNCT
ejpam-5187	411	1	optimization	optimization	NOUN
ejpam-5187	411	2	,	,	PUNCT
ejpam-5187	411	3	69:2199	69:2199	NUM
ejpam-5187	411	4	–	–	PUNCT
ejpam-5187	411	5	2215	2215	NUM
ejpam-5187	411	6	,	,	PUNCT
ejpam-5187	411	7	2020	2020	NUM
ejpam-5187	411	8	.	.	PUNCT
ejpam-5187	412	1	[	[	X
ejpam-5187	412	2	9	9	NUM
ejpam-5187	412	3	]	]	X
ejpam-5187	412	4	k	k	PROPN
ejpam-5187	412	5	goebel	goebel	PROPN
ejpam-5187	412	6	and	and	CCONJ
ejpam-5187	412	7	w	w	ADP
ejpam-5187	412	8	a	a	DET
ejpam-5187	412	9	kirk	kirk	NOUN
ejpam-5187	412	10	.	.	PUNCT
ejpam-5187	413	1	a	a	DET
ejpam-5187	413	2	fixed	fix	VERB
ejpam-5187	413	3	point	point	NOUN
ejpam-5187	413	4	theorem	theorem	NOUN
ejpam-5187	413	5	for	for	ADP
ejpam-5187	413	6	asymptotically	asymptotically	ADV
ejpam-5187	413	7	nonexpansive	nonexpansive	ADJ
ejpam-5187	413	8	mappings	mapping	NOUN
ejpam-5187	413	9	.	.	PUNCT
ejpam-5187	414	1	proc	proc	PROPN
ejpam-5187	414	2	.	.	PUNCT
ejpam-5187	415	1	amer	amer	PROPN
ejpam-5187	415	2	.	.	PUNCT
ejpam-5187	415	3	math	math	PROPN
ejpam-5187	415	4	.	.	PUNCT
ejpam-5187	416	1	soc	soc	PROPN
ejpam-5187	416	2	.	.	PUNCT
ejpam-5187	416	3	,	,	PUNCT
ejpam-5187	416	4	35:171–174	35:171–174	NUM
ejpam-5187	416	5	,	,	PUNCT
ejpam-5187	416	6	1972	1972	NUM
ejpam-5187	416	7	.	.	PUNCT
ejpam-5187	417	1	[	[	X
ejpam-5187	417	2	10	10	NUM
ejpam-5187	417	3	]	]	X
ejpam-5187	417	4	j	j	PROPN
ejpam-5187	417	5	gornicki	gornicki	PROPN
ejpam-5187	417	6	.	.	PUNCT
ejpam-5187	418	1	weak	weak	ADJ
ejpam-5187	418	2	convergence	convergence	NOUN
ejpam-5187	418	3	theorems	theorem	NOUN
ejpam-5187	418	4	for	for	ADP
ejpam-5187	418	5	asymptotically	asymptotically	ADV
ejpam-5187	418	6	nonexpansive	nonexpansive	ADJ
ejpam-5187	418	7	mappings	mapping	NOUN
ejpam-5187	418	8	in	in	ADP
ejpam-5187	418	9	uniformly	uniformly	ADV
ejpam-5187	418	10	convex	convex	NOUN
ejpam-5187	418	11	banach	banach	NOUN
ejpam-5187	418	12	spaces	space	VERB
ejpam-5187	418	13	.	.	PUNCT
ejpam-5187	419	1	comment	comment	NOUN
ejpam-5187	419	2	.	.	PUNCT
ejpam-5187	420	1	math	math	NOUN
ejpam-5187	420	2	.	.	PUNCT
ejpam-5187	421	1	univ	univ	PROPN
ejpam-5187	421	2	.	.	PUNCT
ejpam-5187	422	1	carolin	carolin	PROPN
ejpam-5187	422	2	,	,	PUNCT
ejpam-5187	422	3	30:249–252	30:249–252	PROPN
ejpam-5187	422	4	,	,	PUNCT
ejpam-5187	422	5	1989	1989	NUM
ejpam-5187	422	6	.	.	PUNCT
ejpam-5187	423	1	[	[	X
ejpam-5187	423	2	11	11	NUM
ejpam-5187	423	3	]	]	X
ejpam-5187	423	4	m	m	VERB
ejpam-5187	423	5	h	h	NOUN
ejpam-5187	423	6	harbau	harbau	NOUN
ejpam-5187	423	7	,	,	PUNCT
ejpam-5187	423	8	g	g	PROPN
ejpam-5187	423	9	c	c	PROPN
ejpam-5187	423	10	ugwunnadi	ugwunnadi	NOUN
ejpam-5187	423	11	,	,	PUNCT
ejpam-5187	423	12	l	l	NOUN
ejpam-5187	423	13	o	o	NOUN
ejpam-5187	423	14	jolaoso	jolaoso	NOUN
ejpam-5187	423	15	,	,	PUNCT
ejpam-5187	423	16	and	and	CCONJ
ejpam-5187	423	17	a	a	DET
ejpam-5187	423	18	abdulwahab	abdulwahab	NOUN
ejpam-5187	423	19	.	.	PUNCT
ejpam-5187	424	1	inertial	inertial	ADJ
ejpam-5187	424	2	accerelated	accerelate	VERB
ejpam-5187	424	3	algorithm	algorithm	NOUN
ejpam-5187	424	4	for	for	ADP
ejpam-5187	424	5	fixed	fix	VERB
ejpam-5187	424	6	point	point	NOUN
ejpam-5187	424	7	of	of	ADP
ejpam-5187	424	8	asymptotically	asymptotically	ADV
ejpam-5187	424	9	nonexpansive	nonexpansive	ADJ
ejpam-5187	424	10	mapping	mapping	NOUN
ejpam-5187	424	11	in	in	ADP
ejpam-5187	424	12	real	real	ADJ
ejpam-5187	424	13	uniformly	uniformly	ADV
ejpam-5187	424	14	convex	convex	NOUN
ejpam-5187	424	15	banach	banach	NOUN
ejpam-5187	424	16	spaces	space	VERB
ejpam-5187	424	17	.	.	PUNCT
ejpam-5187	425	1	axioms	axiom	NOUN
ejpam-5187	425	2	,	,	PUNCT
ejpam-5187	425	3	47:10	47:10	NUM
ejpam-5187	425	4	,	,	PUNCT
ejpam-5187	425	5	2021	2021	NUM
ejpam-5187	425	6	.	.	PUNCT
ejpam-5187	426	1	[	[	X
ejpam-5187	426	2	12	12	NUM
ejpam-5187	426	3	]	]	PUNCT
ejpam-5187	426	4	t	t	PROPN
ejpam-5187	426	5	kato	kato	PROPN
ejpam-5187	426	6	.	.	PUNCT
ejpam-5187	427	1	nonlinear	nonlinear	ADJ
ejpam-5187	427	2	semigroups	semigroup	NOUN
ejpam-5187	427	3	and	and	CCONJ
ejpam-5187	427	4	evolution	evolution	NOUN
ejpam-5187	427	5	equations	equation	NOUN
ejpam-5187	427	6	.	.	PUNCT
ejpam-5187	428	1	j.	j.	PROPN
ejpam-5187	428	2	math	math	PROPN
ejpam-5187	428	3	.	.	PUNCT
ejpam-5187	429	1	soc	soc	PROPN
ejpam-5187	429	2	.	.	PUNCT
ejpam-5187	430	1	japan	japan	PROPN
ejpam-5187	430	2	,	,	PUNCT
ejpam-5187	430	3	19:508	19:508	NUM
ejpam-5187	430	4	–	–	PUNCT
ejpam-5187	430	5	520	520	NUM
ejpam-5187	430	6	,	,	PUNCT
ejpam-5187	430	7	1967	1967	NUM
ejpam-5187	430	8	.	.	PUNCT
ejpam-5187	431	1	[	[	X
ejpam-5187	431	2	13	13	NUM
ejpam-5187	431	3	]	]	PUNCT
ejpam-5187	431	4	l	l	PROPN
ejpam-5187	431	5	liu	liu	PROPN
ejpam-5187	431	6	,	,	PUNCT
ejpam-5187	431	7	s	s	PROPN
ejpam-5187	431	8	y	y	PROPN
ejpam-5187	431	9	cho	cho	PROPN
ejpam-5187	431	10	,	,	PUNCT
ejpam-5187	431	11	and	and	CCONJ
ejpam-5187	431	12	j	j	PROPN
ejpam-5187	431	13	c	c	PROPN
ejpam-5187	431	14	yao	yao	PROPN
ejpam-5187	431	15	.	.	PUNCT
ejpam-5187	432	1	convergence	convergence	NOUN
ejpam-5187	432	2	analysis	analysis	NOUN
ejpam-5187	432	3	of	of	ADP
ejpam-5187	432	4	an	an	DET
ejpam-5187	432	5	inertial	inertial	ADJ
ejpam-5187	432	6	tseng	tseng	PROPN
ejpam-5187	432	7	’s	’s	PART
ejpam-5187	432	8	extragradient	extragradient	ADJ
ejpam-5187	432	9	algorithm	algorithm	NOUN
ejpam-5187	432	10	for	for	ADP
ejpam-5187	432	11	solving	solve	VERB
ejpam-5187	432	12	pseudomonotone	pseudomonotone	ADP
ejpam-5187	432	13	variational	variational	ADJ
ejpam-5187	432	14	inequalities	inequality	NOUN
ejpam-5187	432	15	and	and	CCONJ
ejpam-5187	432	16	applications	application	NOUN
ejpam-5187	432	17	.	.	PUNCT
ejpam-5187	433	1	j.	j.	PROPN
ejpam-5187	433	2	nonlinear	nonlinear	PROPN
ejpam-5187	433	3	var	var	PROPN
ejpam-5187	433	4	.	.	PUNCT
ejpam-5187	434	1	anal	anal	PROPN
ejpam-5187	434	2	.	.	PROPN
ejpam-5187	434	3	,	,	PUNCT
ejpam-5187	434	4	5:627–644	5:627–644	NUM
ejpam-5187	434	5	,	,	PUNCT
ejpam-5187	434	6	2021	2021	NUM
ejpam-5187	434	7	.	.	PUNCT
ejpam-5187	435	1	references	reference	NOUN
ejpam-5187	435	2	1617	1617	NUM
ejpam-5187	436	1	[	[	X
ejpam-5187	436	2	14	14	NUM
ejpam-5187	436	3	]	]	PUNCT
ejpam-5187	436	4	l	l	PROPN
ejpam-5187	436	5	liu	liu	PROPN
ejpam-5187	436	6	and	and	CCONJ
ejpam-5187	436	7	x	x	SYM
ejpam-5187	436	8	qin	qin	INTJ
ejpam-5187	436	9	.	.	PUNCT
ejpam-5187	436	10	strong	strong	ADJ
ejpam-5187	436	11	convergence	convergence	NOUN
ejpam-5187	436	12	theorems	theorem	VERB
ejpam-5187	436	13	for	for	ADP
ejpam-5187	436	14	solving	solve	VERB
ejpam-5187	436	15	pseudo	pseudo	NOUN
ejpam-5187	436	16	-	-	ADJ
ejpam-5187	436	17	monotone	monotone	ADJ
ejpam-5187	436	18	variational	variational	ADJ
ejpam-5187	436	19	inequality	inequality	NOUN
ejpam-5187	436	20	problems	problem	NOUN
ejpam-5187	436	21	and	and	CCONJ
ejpam-5187	436	22	applications	application	NOUN
ejpam-5187	436	23	.	.	PUNCT
ejpam-5187	437	1	optimization	optimization	NOUN
ejpam-5187	437	2	,	,	PUNCT
ejpam-5187	437	3	71:3603–3626	71:3603–3626	NUM
ejpam-5187	437	4	,	,	PUNCT
ejpam-5187	437	5	2022	2022	NUM
ejpam-5187	437	6	.	.	PUNCT
ejpam-5187	438	1	[	[	X
ejpam-5187	438	2	15	15	NUM
ejpam-5187	438	3	]	]	X
ejpam-5187	438	4	p	p	NOUN
ejpam-5187	438	5	mainge	mainge	NOUN
ejpam-5187	438	6	.	.	PUNCT
ejpam-5187	439	1	convergence	convergence	NOUN
ejpam-5187	439	2	theorems	theorem	NOUN
ejpam-5187	439	3	for	for	ADP
ejpam-5187	439	4	inertial	inertial	ADJ
ejpam-5187	439	5	km	km	NOUN
ejpam-5187	439	6	-	-	PUNCT
ejpam-5187	439	7	type	type	NOUN
ejpam-5187	439	8	algorithms	algorithm	NOUN
ejpam-5187	439	9	.	.	PUNCT
ejpam-5187	440	1	j.	j.	PROPN
ejpam-5187	440	2	comp	comp	PROPN
ejpam-5187	440	3	.	.	PUNCT
ejpam-5187	441	1	anal	anal	PROPN
ejpam-5187	441	2	.	.	PUNCT
ejpam-5187	442	1	and	and	CCONJ
ejpam-5187	442	2	appl	appl	PROPN
ejpam-5187	442	3	.	.	PROPN
ejpam-5187	442	4	,	,	PUNCT
ejpam-5187	442	5	219:223–219	219:223–219	NUM
ejpam-5187	442	6	,	,	PUNCT
ejpam-5187	442	7	2008	2008	NUM
ejpam-5187	442	8	.	.	PUNCT
ejpam-5187	443	1	[	[	X
ejpam-5187	443	2	16	16	NUM
ejpam-5187	443	3	]	]	X
ejpam-5187	443	4	w	w	PROPN
ejpam-5187	443	5	r	r	NOUN
ejpam-5187	443	6	mann	mann	NOUN
ejpam-5187	443	7	.	.	PUNCT
ejpam-5187	444	1	mean	mean	VERB
ejpam-5187	444	2	value	value	NOUN
ejpam-5187	444	3	methods	method	NOUN
ejpam-5187	444	4	in	in	ADP
ejpam-5187	444	5	iteration	iteration	NOUN
ejpam-5187	444	6	.	.	PUNCT
ejpam-5187	445	1	proc	proc	PROPN
ejpam-5187	445	2	.	.	PUNCT
ejpam-5187	446	1	amer	amer	PROPN
ejpam-5187	446	2	.	.	PUNCT
ejpam-5187	446	3	math	math	PROPN
ejpam-5187	446	4	.	.	PUNCT
ejpam-5187	447	1	soc	soc	PROPN
ejpam-5187	447	2	.	.	PUNCT
ejpam-5187	447	3	,	,	PUNCT
ejpam-5187	447	4	4:506–510	4:506–510	NUM
ejpam-5187	447	5	,	,	PUNCT
ejpam-5187	447	6	1953	1953	NUM
ejpam-5187	447	7	.	.	PUNCT
ejpam-5187	448	1	[	[	X
ejpam-5187	448	2	17	17	NUM
ejpam-5187	448	3	]	]	X
ejpam-5187	448	4	f	f	X
ejpam-5187	448	5	u	u	PROPN
ejpam-5187	448	6	oghuisi	oghuisi	VERB
ejpam-5187	448	7	.	.	PUNCT
ejpam-5187	449	1	the	the	DET
ejpam-5187	449	2	projection	projection	NOUN
ejpam-5187	449	3	method	method	NOUN
ejpam-5187	449	4	with	with	ADP
ejpam-5187	449	5	inertial	inertial	ADJ
ejpam-5187	449	6	extrapolation	extrapolation	NOUN
ejpam-5187	449	7	for	for	ADP
ejpam-5187	449	8	solving	solve	VERB
ejpam-5187	449	9	split	split	VERB
ejpam-5187	449	10	equilibrium	equilibrium	NOUN
ejpam-5187	449	11	problems	problem	NOUN
ejpam-5187	449	12	in	in	ADP
ejpam-5187	449	13	hilbert	hilbert	PROPN
ejpam-5187	449	14	spaces	space	NOUN
ejpam-5187	449	15	.	.	PUNCT
ejpam-5187	450	1	appl	appl	PROPN
ejpam-5187	450	2	.	.	PUNCT
ejpam-5187	450	3	set	set	NOUN
ejpam-5187	450	4	-	-	PUNCT
ejpam-5187	450	5	valued	value	VERB
ejpam-5187	450	6	anal	anal	NOUN
ejpam-5187	450	7	.	.	PUNCT
ejpam-5187	451	1	optim	optim	PROPN
ejpam-5187	451	2	.	.	PROPN
ejpam-5187	451	3	,	,	PUNCT
ejpam-5187	451	4	3:239–255	3:239–255	NUM
ejpam-5187	451	5	,	,	PUNCT
ejpam-5187	451	6	2021	2021	NUM
ejpam-5187	451	7	.	.	PUNCT
ejpam-5187	452	1	[	[	X
ejpam-5187	452	2	18	18	NUM
ejpam-5187	452	3	]	]	PUNCT
ejpam-5187	452	4	z	z	NOUN
ejpam-5187	452	5	opial	opial	NOUN
ejpam-5187	452	6	.	.	PUNCT
ejpam-5187	453	1	weak	weak	ADJ
ejpam-5187	453	2	convergence	convergence	NOUN
ejpam-5187	453	3	of	of	ADP
ejpam-5187	453	4	successive	successive	ADJ
ejpam-5187	453	5	approximations	approximation	NOUN
ejpam-5187	453	6	for	for	ADP
ejpam-5187	453	7	nonexpansive	nonexpansive	ADJ
ejpam-5187	453	8	mappings	mapping	NOUN
ejpam-5187	453	9	.	.	PUNCT
ejpam-5187	454	1	bull	bull	NOUN
ejpam-5187	454	2	.	.	PUNCT
ejpam-5187	455	1	amer	amer	PROPN
ejpam-5187	455	2	.	.	PUNCT
ejpam-5187	455	3	math	math	PROPN
ejpam-5187	455	4	.	.	PUNCT
ejpam-5187	456	1	soc	soc	PROPN
ejpam-5187	456	2	.	.	PUNCT
ejpam-5187	456	3	,	,	PUNCT
ejpam-5187	457	1	73:591–597	73:591–597	NOUN
ejpam-5187	457	2	,	,	PUNCT
ejpam-5187	457	3	1967	1967	NUM
ejpam-5187	457	4	.	.	PUNCT
ejpam-5187	458	1	[	[	X
ejpam-5187	458	2	19	19	NUM
ejpam-5187	458	3	]	]	X
ejpam-5187	458	4	m	m	VERB
ejpam-5187	458	5	o	o	NOUN
ejpam-5187	458	6	osilike	osilike	ADJ
ejpam-5187	458	7	,	,	PUNCT
ejpam-5187	458	8	s	s	PROPN
ejpam-5187	458	9	c	c	NOUN
ejpam-5187	458	10	aniagbosor	aniagbosor	NOUN
ejpam-5187	458	11	,	,	PUNCT
ejpam-5187	458	12	and	and	CCONJ
ejpam-5187	458	13	b	b	X
ejpam-5187	458	14	g	g	PROPN
ejpam-5187	458	15	akuchu	akuchu	PROPN
ejpam-5187	458	16	.	.	PUNCT
ejpam-5187	459	1	fixed	fix	VERB
ejpam-5187	459	2	points	point	NOUN
ejpam-5187	459	3	of	of	ADP
ejpam-5187	459	4	asymptotically	asymptotically	ADV
ejpam-5187	459	5	demicontractive	demicontractive	ADJ
ejpam-5187	459	6	mappings	mapping	NOUN
ejpam-5187	459	7	in	in	ADP
ejpam-5187	459	8	arbitrary	arbitrary	ADJ
ejpam-5187	459	9	banach	banach	NOUN
ejpam-5187	459	10	spaces	space	NOUN
ejpam-5187	459	11	.	.	PUNCT
ejpam-5187	460	1	panamerican	panamerican	PROPN
ejpam-5187	460	2	mathematical	mathematical	ADJ
ejpam-5187	460	3	journal	journal	PROPN
ejpam-5187	460	4	,	,	PUNCT
ejpam-5187	460	5	12:77–88	12:77–88	NUM
ejpam-5187	460	6	,	,	PUNCT
ejpam-5187	460	7	2002	2002	NUM
ejpam-5187	460	8	.	.	PUNCT
ejpam-5187	461	1	[	[	X
ejpam-5187	461	2	20	20	NUM
ejpam-5187	461	3	]	]	PUNCT
ejpam-5187	461	4	m	m	VERB
ejpam-5187	461	5	o	o	NOUN
ejpam-5187	461	6	osilike	osilike	ADP
ejpam-5187	461	7	,	,	PUNCT
ejpam-5187	461	8	a	a	DET
ejpam-5187	461	9	udomene	udomene	NOUN
ejpam-5187	461	10	,	,	PUNCT
ejpam-5187	461	11	d	d	NOUN
ejpam-5187	461	12	i	i	PRON
ejpam-5187	461	13	igbokwe	igbokwe	VERB
ejpam-5187	461	14	,	,	PUNCT
ejpam-5187	461	15	and	and	CCONJ
ejpam-5187	461	16	b	b	X
ejpam-5187	461	17	g	g	PROPN
ejpam-5187	461	18	akuchu	akuchu	PROPN
ejpam-5187	461	19	.	.	PUNCT
ejpam-5187	462	1	demiclosedness	demiclosedness	PROPN
ejpam-5187	462	2	principle	principle	NOUN
ejpam-5187	462	3	and	and	CCONJ
ejpam-5187	462	4	convergence	convergence	NOUN
ejpam-5187	462	5	theorems	theorem	NOUN
ejpam-5187	462	6	for	for	ADP
ejpam-5187	462	7	k	k	NOUN
ejpam-5187	462	8	-	-	PUNCT
ejpam-5187	462	9	strictly	strictly	ADV
ejpam-5187	462	10	asymptotically	asymptotically	ADV
ejpam-5187	462	11	pseudocontractive	pseudocontractive	ADJ
ejpam-5187	462	12	maps	map	NOUN
ejpam-5187	462	13	.	.	PUNCT
ejpam-5187	463	1	journal	journal	NOUN
ejpam-5187	463	2	of	of	ADP
ejpam-5187	463	3	mathematical	mathematical	ADJ
ejpam-5187	463	4	analysis	analysis	NOUN
ejpam-5187	463	5	and	and	CCONJ
ejpam-5187	463	6	applications	application	NOUN
ejpam-5187	463	7	,	,	PUNCT
ejpam-5187	463	8	326:1334–13345	326:1334–13345	NUM
ejpam-5187	463	9	,	,	PUNCT
ejpam-5187	463	10	2007	2007	NUM
ejpam-5187	463	11	.	.	PUNCT
ejpam-5187	464	1	[	[	X
ejpam-5187	464	2	21	21	NUM
ejpam-5187	464	3	]	]	X
ejpam-5187	464	4	x	x	SYM
ejpam-5187	464	5	qin	qin	PROPN
ejpam-5187	464	6	and	and	CCONJ
ejpam-5187	464	7	j	j	PROPN
ejpam-5187	464	8	c	c	PROPN
ejpam-5187	464	9	yao	yao	PROPN
ejpam-5187	464	10	.	.	PUNCT
ejpam-5187	465	1	weak	weak	ADJ
ejpam-5187	465	2	convergence	convergence	NOUN
ejpam-5187	465	3	of	of	ADP
ejpam-5187	465	4	a	a	DET
ejpam-5187	465	5	mann	mann	NOUN
ejpam-5187	465	6	-	-	PUNCT
ejpam-5187	465	7	like	like	ADJ
ejpam-5187	465	8	algorithm	algorithm	NOUN
ejpam-5187	465	9	for	for	ADP
ejpam-5187	465	10	nonexpansive	nonexpansive	ADJ
ejpam-5187	465	11	and	and	CCONJ
ejpam-5187	465	12	accretive	accretive	ADJ
ejpam-5187	465	13	operators	operator	NOUN
ejpam-5187	465	14	.	.	PUNCT
ejpam-5187	466	1	j.	j.	PROPN
ejpam-5187	466	2	inequal	inequal	PROPN
ejpam-5187	466	3	.	.	PUNCT
ejpam-5187	467	1	appl	appl	PROPN
ejpam-5187	467	2	.	.	PROPN
ejpam-5187	467	3	,	,	PUNCT
ejpam-5187	467	4	2016:232	2016:232	PROPN
ejpam-5187	467	5	,	,	PUNCT
ejpam-5187	467	6	2016	2016	NUM
ejpam-5187	467	7	.	.	PUNCT
ejpam-5187	468	1	[	[	X
ejpam-5187	468	2	22	22	NUM
ejpam-5187	468	3	]	]	X
ejpam-5187	468	4	r	r	NOUN
ejpam-5187	468	5	t	t	NOUN
ejpam-5187	468	6	rockafellar	rockafellar	ADJ
ejpam-5187	468	7	.	.	PUNCT
ejpam-5187	469	1	on	on	ADP
ejpam-5187	469	2	the	the	DET
ejpam-5187	469	3	maximal	maximal	ADJ
ejpam-5187	469	4	monotonicity	monotonicity	NOUN
ejpam-5187	469	5	of	of	ADP
ejpam-5187	469	6	subdifferential	subdifferential	ADJ
ejpam-5187	469	7	mappings	mapping	NOUN
ejpam-5187	469	8	.	.	PUNCT
ejpam-5187	470	1	pacific	pacific	PROPN
ejpam-5187	470	2	j.	j.	PROPN
ejpam-5187	470	3	math	math	PROPN
ejpam-5187	470	4	,	,	PUNCT
ejpam-5187	470	5	33:209–216	33:209–216	NUM
ejpam-5187	470	6	,	,	PUNCT
ejpam-5187	470	7	1970	1970	NUM
ejpam-5187	470	8	.	.	PUNCT
ejpam-5187	471	1	[	[	X
ejpam-5187	471	2	23	23	NUM
ejpam-5187	471	3	]	]	X
ejpam-5187	471	4	y	y	PROPN
ejpam-5187	471	5	shehu	shehu	PROPN
ejpam-5187	471	6	,	,	PUNCT
ejpam-5187	471	7	c	c	PROPN
ejpam-5187	471	8	izuchukwu	izuchukwu	NOUN
ejpam-5187	471	9	,	,	PUNCT
ejpam-5187	471	10	x	x	X
ejpam-5187	471	11	qin	qin	INTJ
ejpam-5187	471	12	,	,	PUNCT
ejpam-5187	471	13	and	and	CCONJ
ejpam-5187	471	14	j	j	PROPN
ejpam-5187	471	15	c	c	PROPN
ejpam-5187	471	16	yao	yao	PROPN
ejpam-5187	471	17	.	.	PUNCT
ejpam-5187	472	1	strongly	strongly	ADV
ejpam-5187	472	2	convergent	convergent	ADJ
ejpam-5187	472	3	inertial	inertial	ADJ
ejpam-5187	472	4	extragradient	extragradient	NOUN
ejpam-5187	472	5	type	type	NOUN
ejpam-5187	472	6	methods	method	NOUN
ejpam-5187	472	7	for	for	ADP
ejpam-5187	472	8	equilibrium	equilibrium	NOUN
ejpam-5187	472	9	problems	problem	NOUN
ejpam-5187	472	10	.	.	PUNCT
ejpam-5187	473	1	appl	appl	PROPN
ejpam-5187	473	2	.	.	PUNCT
ejpam-5187	474	1	anal	anal	PROPN
ejpam-5187	474	2	.	.	PROPN
ejpam-5187	474	3	,	,	PUNCT
ejpam-5187	474	4	102:2160–2188	102:2160–2188	NUM
ejpam-5187	474	5	,	,	PUNCT
ejpam-5187	474	6	2023	2023	NUM
ejpam-5187	474	7	.	.	PUNCT
ejpam-5187	475	1	[	[	X
ejpam-5187	475	2	24	24	NUM
ejpam-5187	475	3	]	]	X
ejpam-5187	475	4	y	y	PROPN
ejpam-5187	475	5	shehu	shehu	PROPN
ejpam-5187	475	6	and	and	CCONJ
ejpam-5187	475	7	j	j	PROPN
ejpam-5187	475	8	c	c	PROPN
ejpam-5187	475	9	yao	yao	PROPN
ejpam-5187	475	10	.	.	PUNCT
ejpam-5187	476	1	rate	rate	NOUN
ejpam-5187	476	2	of	of	ADP
ejpam-5187	476	3	convergence	convergence	NOUN
ejpam-5187	476	4	for	for	ADP
ejpam-5187	476	5	inertial	inertial	ADJ
ejpam-5187	476	6	iterative	iterative	NOUN
ejpam-5187	476	7	method	method	NOUN
ejpam-5187	476	8	for	for	ADP
ejpam-5187	476	9	countable	countable	ADJ
ejpam-5187	476	10	family	family	NOUN
ejpam-5187	476	11	of	of	ADP
ejpam-5187	476	12	certain	certain	ADJ
ejpam-5187	476	13	quasi	quasi	ADJ
ejpam-5187	476	14	-	-	ADJ
ejpam-5187	476	15	nonexpansive	nonexpansive	ADJ
ejpam-5187	476	16	mappings	mapping	NOUN
ejpam-5187	476	17	.	.	PUNCT
ejpam-5187	477	1	j.	j.	PROPN
ejpam-5187	477	2	nonlinear	nonlinear	PROPN
ejpam-5187	477	3	convex	convex	PROPN
ejpam-5187	477	4	anal	anal	NOUN
ejpam-5187	477	5	.	.	PUNCT
ejpam-5187	477	6	,	,	PUNCT
ejpam-5187	477	7	21:533	21:533	NUM
ejpam-5187	477	8	–	–	PUNCT
ejpam-5187	477	9	541	541	NUM
ejpam-5187	477	10	,	,	PUNCT
ejpam-5187	477	11	2020	2020	NUM
ejpam-5187	477	12	.	.	PUNCT
ejpam-5187	478	1	[	[	X
ejpam-5187	478	2	25	25	NUM
ejpam-5187	478	3	]	]	SYM
ejpam-5187	478	4	b	b	PROPN
ejpam-5187	478	5	tan	tan	PROPN
ejpam-5187	478	6	,	,	PUNCT
ejpam-5187	478	7	z	z	PROPN
ejpam-5187	478	8	zhou	zhou	PROPN
ejpam-5187	478	9	,	,	PUNCT
ejpam-5187	478	10	and	and	CCONJ
ejpam-5187	478	11	s	s	VERB
ejpam-5187	478	12	li	li	PROPN
ejpam-5187	478	13	.	.	PUNCT
ejpam-5187	478	14	strong	strong	ADJ
ejpam-5187	478	15	convergence	convergence	NOUN
ejpam-5187	478	16	of	of	ADP
ejpam-5187	478	17	modified	modify	VERB
ejpam-5187	478	18	inertial	inertial	ADJ
ejpam-5187	478	19	mann	mann	NOUN
ejpam-5187	478	20	algorithms	algorithm	NOUN
ejpam-5187	478	21	for	for	ADP
ejpam-5187	478	22	nonexpansive	nonexpansive	ADJ
ejpam-5187	478	23	mappings	mapping	NOUN
ejpam-5187	478	24	.	.	PUNCT
ejpam-5187	479	1	mathematics	mathematic	NOUN
ejpam-5187	479	2	,	,	PUNCT
ejpam-5187	479	3	462:8	462:8	NUM
ejpam-5187	479	4	,	,	PUNCT
ejpam-5187	479	5	2020	2020	NUM
ejpam-5187	479	6	.	.	PUNCT
ejpam-5187	480	1	[	[	X
ejpam-5187	480	2	26	26	NUM
ejpam-5187	480	3	]	]	X
ejpam-5187	480	4	h	h	NOUN
ejpam-5187	480	5	k	k	PROPN
ejpam-5187	480	6	xu	xu	PROPN
ejpam-5187	480	7	.	.	PUNCT
ejpam-5187	481	1	inequalities	inequality	NOUN
ejpam-5187	481	2	in	in	ADP
ejpam-5187	481	3	banach	banach	NOUN
ejpam-5187	481	4	spaces	space	NOUN
ejpam-5187	481	5	with	with	ADP
ejpam-5187	481	6	applications	application	NOUN
ejpam-5187	481	7	.	.	PUNCT
ejpam-5187	482	1	nonlinear	nonlinear	ADJ
ejpam-5187	482	2	analysis	analysis	NOUN
ejpam-5187	482	3	,	,	PUNCT
ejpam-5187	482	4	16:1127	16:1127	NUM
ejpam-5187	482	5	–	–	PUNCT
ejpam-5187	482	6	1138	1138	NUM
ejpam-5187	482	7	,	,	PUNCT
ejpam-5187	482	8	1991	1991	NUM
ejpam-5187	482	9	.	.	PUNCT
ejpam-5187	483	1	[	[	X
ejpam-5187	483	2	27	27	NUM
ejpam-5187	483	3	]	]	X
ejpam-5187	483	4	c	c	PROPN
ejpam-5187	483	5	zalinsecu	zalinsecu	PROPN
ejpam-5187	483	6	.	.	PUNCT
ejpam-5187	484	1	on	on	ADP
ejpam-5187	484	2	uniformly	uniformly	ADV
ejpam-5187	484	3	convex	convex	NOUN
ejpam-5187	484	4	functions	function	NOUN
ejpam-5187	484	5	.	.	PUNCT
ejpam-5187	485	1	j.	j.	PROPN
ejpam-5187	485	2	math	math	PROPN
ejpam-5187	485	3	.	.	PUNCT
ejpam-5187	486	1	anal	anal	PROPN
ejpam-5187	486	2	.	.	PUNCT
ejpam-5187	487	1	appl	appl	PROPN
ejpam-5187	487	2	.	.	PROPN
ejpam-5187	488	1	,	,	PUNCT
ejpam-5187	488	2	95:344–374	95:344–374	NUM
ejpam-5187	488	3	,	,	PUNCT
ejpam-5187	488	4	1983	1983	NUM
ejpam-5187	488	5	.	.	PUNCT