id	sid	tid	token	lemma	pos
ejpam-5327	1	1	european	european	PROPN
ejpam-5327	1	2	journal	journal	PROPN
ejpam-5327	1	3	of	of	ADP
ejpam-5327	1	4	pure	pure	ADJ
ejpam-5327	1	5	and	and	CCONJ
ejpam-5327	1	6	applied	apply	VERB
ejpam-5327	1	7	mathematics	mathematic	NOUN
ejpam-5327	1	8	vol	vol	NOUN
ejpam-5327	1	9	.	.	PROPN
ejpam-5327	2	1	17	17	NUM
ejpam-5327	2	2	,	,	PUNCT
ejpam-5327	2	3	no	no	INTJ
ejpam-5327	2	4	.	.	NOUN
ejpam-5327	2	5	3	3	NUM
ejpam-5327	2	6	,	,	PUNCT
ejpam-5327	2	7	2024	2024	NUM
ejpam-5327	2	8	,	,	PUNCT
ejpam-5327	2	9	2246	2246	NUM
ejpam-5327	2	10	-	-	SYM
ejpam-5327	2	11	2263	2263	NUM
ejpam-5327	2	12	issn	issn	PROPN
ejpam-5327	2	13	1307	1307	NUM
ejpam-5327	2	14	-	-	SYM
ejpam-5327	2	15	5543	5543	NUM
ejpam-5327	2	16	–	–	PUNCT
ejpam-5327	3	1	ejpam.com	ejpam.com	X
ejpam-5327	3	2	published	publish	VERB
ejpam-5327	3	3	by	by	ADP
ejpam-5327	3	4	new	new	PROPN
ejpam-5327	3	5	york	york	PROPN
ejpam-5327	3	6	business	business	PROPN
ejpam-5327	3	7	global	global	PROPN
ejpam-5327	3	8	double	double	ADJ
ejpam-5327	3	9	inertial	inertial	ADJ
ejpam-5327	3	10	krasnosel’skii	krasnosel’skii	NOUN
ejpam-5327	3	11	-	-	PUNCT
ejpam-5327	3	12	mann	mann	NOUN
ejpam-5327	3	13	-	-	PUNCT
ejpam-5327	3	14	type	type	NOUN
ejpam-5327	3	15	method	method	NOUN
ejpam-5327	3	16	for	for	ADP
ejpam-5327	3	17	approximating	approximate	VERB
ejpam-5327	3	18	fixed	fix	VERB
ejpam-5327	3	19	point	point	NOUN
ejpam-5327	3	20	of	of	ADP
ejpam-5327	3	21	nonexpansive	nonexpansive	ADJ
ejpam-5327	3	22	mappings	mapping	NOUN
ejpam-5327	3	23	besheng	besheng	PROPN
ejpam-5327	3	24	george	george	PROPN
ejpam-5327	3	25	akuchu1	akuchu1	PROPN
ejpam-5327	3	26	,	,	PUNCT
ejpam-5327	3	27	uzoamaka	uzoamaka	PROPN
ejpam-5327	3	28	azuka	azuka	PROPN
ejpam-5327	3	29	ezeafulukwe2	ezeafulukwe2	PROPN
ejpam-5327	3	30	,	,	PUNCT
ejpam-5327	3	31	maggie	maggie	NOUN
ejpam-5327	3	32	aphane3	aphane3	PROPN
ejpam-5327	3	33	,	,	PUNCT
ejpam-5327	3	34	godwin	godwin	PROPN
ejpam-5327	3	35	chidi	chidi	PROPN
ejpam-5327	3	36	ugwunnadi4,∗	ugwunnadi4,∗	PROPN
ejpam-5327	3	37	,	,	PUNCT
ejpam-5327	3	38	chukwuebuka	chukwuebuka	NOUN
ejpam-5327	3	39	malachi	malachi	PROPN
ejpam-5327	3	40	asanya5	asanya5	PROPN
ejpam-5327	3	41	1,2,5	1,2,5	NUM
ejpam-5327	3	42	department	department	NOUN
ejpam-5327	3	43	of	of	ADP
ejpam-5327	3	44	mathematics	mathematics	PROPN
ejpam-5327	3	45	,	,	PUNCT
ejpam-5327	3	46	university	university	PROPN
ejpam-5327	3	47	of	of	ADP
ejpam-5327	3	48	nigeria	nigeria	PROPN
ejpam-5327	3	49	nsukka	nsukka	PROPN
ejpam-5327	3	50	,	,	PUNCT
ejpam-5327	3	51	enugu	enugu	PROPN
ejpam-5327	3	52	state	state	PROPN
ejpam-5327	3	53	,	,	PUNCT
ejpam-5327	3	54	nigeria	nigeria	PROPN
ejpam-5327	3	55	3,4	3,4	NUM
ejpam-5327	3	56	department	department	NOUN
ejpam-5327	3	57	of	of	ADP
ejpam-5327	3	58	mathematics	mathematic	NOUN
ejpam-5327	3	59	and	and	CCONJ
ejpam-5327	3	60	applied	apply	VERB
ejpam-5327	3	61	mathematics	mathematic	NOUN
ejpam-5327	3	62	,	,	PUNCT
ejpam-5327	3	63	sefako	sefako	VERB
ejpam-5327	3	64	makgatho	makgatho	PROPN
ejpam-5327	3	65	health	health	PROPN
ejpam-5327	3	66	sciences	sciences	PROPN
ejpam-5327	3	67	university	university	PROPN
ejpam-5327	3	68	,	,	PUNCT
ejpam-5327	3	69	medunsa	medunsa	PROPN
ejpam-5327	3	70	,	,	PUNCT
ejpam-5327	3	71	p.o	p.o	PROPN
ejpam-5327	3	72	.	.	PROPN
ejpam-5327	3	73	box	box	PROPN
ejpam-5327	3	74	94	94	PROPN
ejpam-5327	3	75	,	,	PUNCT
ejpam-5327	3	76	pretoria	pretoria	PROPN
ejpam-5327	3	77	0204	0204	NUM
ejpam-5327	3	78	,	,	PUNCT
ejpam-5327	3	79	south	south	PROPN
ejpam-5327	3	80	africa	africa	PROPN
ejpam-5327	3	81	4	4	NUM
ejpam-5327	3	82	department	department	NOUN
ejpam-5327	3	83	of	of	ADP
ejpam-5327	3	84	mathematics	mathematic	NOUN
ejpam-5327	3	85	,	,	PUNCT
ejpam-5327	3	86	faculty	faculty	NOUN
ejpam-5327	3	87	of	of	ADP
ejpam-5327	3	88	science	science	NOUN
ejpam-5327	3	89	and	and	CCONJ
ejpam-5327	3	90	engineering	engineering	NOUN
ejpam-5327	3	91	,	,	PUNCT
ejpam-5327	3	92	university	university	NOUN
ejpam-5327	3	93	of	of	ADP
ejpam-5327	3	94	eswatini	eswatini	PROPN
ejpam-5327	3	95	,	,	PUNCT
ejpam-5327	3	96	private	private	ADJ
ejpam-5327	3	97	bag	bag	NOUN
ejpam-5327	3	98	4	4	NUM
ejpam-5327	3	99	,	,	PUNCT
ejpam-5327	3	100	kwaluseni	kwaluseni	PROPN
ejpam-5327	3	101	m201	m201	PROPN
ejpam-5327	3	102	,	,	PUNCT
ejpam-5327	3	103	eswatini	eswatini	NOUN
ejpam-5327	3	104	abstract	abstract	NOUN
ejpam-5327	3	105	.	.	PUNCT
ejpam-5327	4	1	in	in	ADP
ejpam-5327	4	2	this	this	DET
ejpam-5327	4	3	paper	paper	NOUN
ejpam-5327	4	4	,	,	PUNCT
ejpam-5327	4	5	we	we	PRON
ejpam-5327	4	6	investigate	investigate	VERB
ejpam-5327	4	7	a	a	DET
ejpam-5327	4	8	new	new	ADJ
ejpam-5327	4	9	method	method	NOUN
ejpam-5327	4	10	motivated	motivate	VERB
ejpam-5327	4	11	by	by	ADP
ejpam-5327	4	12	current	current	ADJ
ejpam-5327	4	13	advancements	advancement	NOUN
ejpam-5327	4	14	in	in	ADP
ejpam-5327	4	15	general	general	ADJ
ejpam-5327	4	16	inertial	inertial	ADJ
ejpam-5327	4	17	algorithms	algorithm	NOUN
ejpam-5327	4	18	.	.	PUNCT
ejpam-5327	5	1	specifically	specifically	ADV
ejpam-5327	5	2	,	,	PUNCT
ejpam-5327	5	3	we	we	PRON
ejpam-5327	5	4	incorporate	incorporate	VERB
ejpam-5327	5	5	double	double	ADJ
ejpam-5327	5	6	inertial	inertial	ADJ
ejpam-5327	5	7	extrapolation	extrapolation	NOUN
ejpam-5327	5	8	terms	term	NOUN
ejpam-5327	5	9	into	into	ADP
ejpam-5327	5	10	an	an	DET
ejpam-5327	5	11	iterative	iterative	NOUN
ejpam-5327	5	12	sequence	sequence	NOUN
ejpam-5327	5	13	,	,	PUNCT
ejpam-5327	5	14	derived	derive	VERB
ejpam-5327	5	15	from	from	ADP
ejpam-5327	5	16	krasnosel’skii	krasnosel’skii	PROPN
ejpam-5327	5	17	-	-	PUNCT
ejpam-5327	5	18	mann	mann	PROPN
ejpam-5327	5	19	techniques	technique	NOUN
ejpam-5327	5	20	.	.	PUNCT
ejpam-5327	6	1	the	the	DET
ejpam-5327	6	2	weak	weak	ADJ
ejpam-5327	6	3	convergence	convergence	NOUN
ejpam-5327	6	4	theorem	theorem	NOUN
ejpam-5327	6	5	for	for	ADP
ejpam-5327	6	6	fixed	fix	VERB
ejpam-5327	6	7	points	point	NOUN
ejpam-5327	6	8	of	of	ADP
ejpam-5327	6	9	nonexpansive	nonexpansive	ADJ
ejpam-5327	6	10	mappings	mapping	NOUN
ejpam-5327	6	11	in	in	ADP
ejpam-5327	6	12	real	real	ADJ
ejpam-5327	6	13	hilbert	hilbert	NOUN
ejpam-5327	6	14	spaces	space	NOUN
ejpam-5327	6	15	is	be	AUX
ejpam-5327	6	16	established	establish	VERB
ejpam-5327	6	17	.	.	PUNCT
ejpam-5327	7	1	the	the	DET
ejpam-5327	7	2	theoretical	theoretical	ADJ
ejpam-5327	7	3	developments	development	NOUN
ejpam-5327	7	4	are	be	AUX
ejpam-5327	7	5	rigorously	rigorously	ADV
ejpam-5327	7	6	proven	prove	VERB
ejpam-5327	7	7	,	,	PUNCT
ejpam-5327	7	8	extending	extend	VERB
ejpam-5327	7	9	existing	exist	VERB
ejpam-5327	7	10	methods	method	NOUN
ejpam-5327	7	11	in	in	ADP
ejpam-5327	7	12	literature	literature	NOUN
ejpam-5327	7	13	.	.	PUNCT
ejpam-5327	8	1	we	we	PRON
ejpam-5327	8	2	also	also	ADV
ejpam-5327	8	3	utilize	utilize	VERB
ejpam-5327	8	4	our	our	PRON
ejpam-5327	8	5	convergence	convergence	NOUN
ejpam-5327	8	6	analysis	analysis	NOUN
ejpam-5327	8	7	to	to	PART
ejpam-5327	8	8	solve	solve	VERB
ejpam-5327	8	9	real	real	ADJ
ejpam-5327	8	10	-	-	PUNCT
ejpam-5327	8	11	world	world	NOUN
ejpam-5327	8	12	problems	problem	NOUN
ejpam-5327	8	13	,	,	PUNCT
ejpam-5327	8	14	such	such	ADJ
ejpam-5327	8	15	as	as	ADP
ejpam-5327	8	16	convex	convex	ADJ
ejpam-5327	8	17	minimization	minimization	NOUN
ejpam-5327	8	18	problems	problem	NOUN
ejpam-5327	8	19	and	and	CCONJ
ejpam-5327	8	20	zero	zero	NUM
ejpam-5327	8	21	finding	finding	NOUN
ejpam-5327	8	22	for	for	ADP
ejpam-5327	8	23	sums	sum	NOUN
ejpam-5327	8	24	of	of	ADP
ejpam-5327	8	25	monotone	monotone	ADJ
ejpam-5327	8	26	operators	operator	NOUN
ejpam-5327	8	27	.	.	PUNCT
ejpam-5327	9	1	2020	2020	NUM
ejpam-5327	9	2	mathematics	mathematic	NOUN
ejpam-5327	9	3	subject	subject	NOUN
ejpam-5327	9	4	classifications	classification	NOUN
ejpam-5327	9	5	:	:	PUNCT
ejpam-5327	9	6	47h09	47h09	NUM
ejpam-5327	9	7	key	key	ADJ
ejpam-5327	9	8	words	word	NOUN
ejpam-5327	9	9	and	and	CCONJ
ejpam-5327	9	10	phrases	phrase	NOUN
ejpam-5327	9	11	:	:	PUNCT
ejpam-5327	9	12	nonexpansive	nonexpansive	ADJ
ejpam-5327	9	13	mappings	mapping	NOUN
ejpam-5327	9	14	,	,	PUNCT
ejpam-5327	9	15	fixed	fix	VERB
ejpam-5327	9	16	points	point	NOUN
ejpam-5327	9	17	,	,	PUNCT
ejpam-5327	9	18	convergence	convergence	NOUN
ejpam-5327	9	19	analysis	analysis	NOUN
ejpam-5327	9	20	,	,	PUNCT
ejpam-5327	9	21	inertial	inertial	ADJ
ejpam-5327	9	22	terms	term	NOUN
ejpam-5327	9	23	,	,	PUNCT
ejpam-5327	9	24	krasnosel’skii	krasnosel’skii	NOUN
ejpam-5327	9	25	-	-	PUNCT
ejpam-5327	9	26	mann	mann	NOUN
ejpam-5327	9	27	-	-	PUNCT
ejpam-5327	9	28	type	type	NOUN
ejpam-5327	9	29	sequence	sequence	NOUN
ejpam-5327	9	30	1	1	NUM
ejpam-5327	9	31	.	.	PUNCT
ejpam-5327	10	1	introduction	introduction	NOUN
ejpam-5327	10	2	consider	consider	VERB
ejpam-5327	10	3	a	a	DET
ejpam-5327	10	4	nonempty	nonempty	NOUN
ejpam-5327	10	5	subset	subset	VERB
ejpam-5327	10	6	k	k	PROPN
ejpam-5327	10	7	of	of	ADP
ejpam-5327	10	8	a	a	DET
ejpam-5327	10	9	hilbert	hilbert	NOUN
ejpam-5327	10	10	space	space	NOUN
ejpam-5327	10	11	h	h	NOUN
ejpam-5327	10	12	with	with	ADP
ejpam-5327	10	13	inner	inner	ADJ
ejpam-5327	10	14	product	product	NOUN
ejpam-5327	10	15	⟨	⟨	VERB
ejpam-5327	10	16	,	,	PUNCT
ejpam-5327	10	17	⟩	⟩	NOUN
ejpam-5327	10	18	and	and	CCONJ
ejpam-5327	10	19	induced	induced	ADJ
ejpam-5327	10	20	norm	norm	NOUN
ejpam-5327	10	21	||.||	||.||	NOUN
ejpam-5327	10	22	.	.	PUNCT
ejpam-5327	11	1	we	we	PRON
ejpam-5327	11	2	refer	refer	VERB
ejpam-5327	11	3	to	to	ADP
ejpam-5327	11	4	a	a	DET
ejpam-5327	11	5	selfmap	selfmap	NOUN
ejpam-5327	11	6	t	t	NOUN
ejpam-5327	11	7	on	on	ADP
ejpam-5327	11	8	k	k	PROPN
ejpam-5327	11	9	as	as	SCONJ
ejpam-5327	11	10	:	:	PUNCT
ejpam-5327	11	11	(	(	PUNCT
ejpam-5327	11	12	i	i	NOUN
ejpam-5327	11	13	)	)	PUNCT
ejpam-5327	11	14	nonexpansive	nonexpansive	ADJ
ejpam-5327	11	15	(	(	PUNCT
ejpam-5327	11	16	refer	refer	VERB
ejpam-5327	11	17	to	to	ADP
ejpam-5327	11	18	,	,	PUNCT
ejpam-5327	11	19	for	for	ADP
ejpam-5327	11	20	example	example	NOUN
ejpam-5327	11	21	,	,	PUNCT
ejpam-5327	11	22	[	[	X
ejpam-5327	11	23	1	1	NUM
ejpam-5327	11	24	,	,	PUNCT
ejpam-5327	11	25	11	11	NUM
ejpam-5327	11	26	]	]	NUM
ejpam-5327	11	27	)	)	PUNCT
ejpam-5327	11	28	,	,	PUNCT
ejpam-5327	11	29	when	when	SCONJ
ejpam-5327	11	30	a	a	DET
ejpam-5327	11	31	,	,	PUNCT
ejpam-5327	11	32	b	b	PROPN
ejpam-5327	11	33	∈	∈	PROPN
ejpam-5327	11	34	k	k	NOUN
ejpam-5327	11	35	,	,	PUNCT
ejpam-5327	11	36	then	then	ADV
ejpam-5327	11	37	||t	||t	ADJ
ejpam-5327	11	38	a−	a−	PROPN
ejpam-5327	11	39	t	t	PROPN
ejpam-5327	11	40	b||	b||	PROPN
ejpam-5327	11	41	≤	≤	NUM
ejpam-5327	11	42	||a−	||a−	PROPN
ejpam-5327	11	43	b||	b||	NUM
ejpam-5327	11	44	.	.	PUNCT
ejpam-5327	12	1	∗corresponding	∗corresponde	VERB
ejpam-5327	12	2	author	author	NOUN
ejpam-5327	12	3	.	.	PUNCT
ejpam-5327	13	1	doi	doi	NOUN
ejpam-5327	13	2	:	:	PUNCT
ejpam-5327	13	3	https://doi.org/10.29020/nybg.ejpam.v17i3.5327	https://doi.org/10.29020/nybg.ejpam.v17i3.5327	PROPN
ejpam-5327	13	4	email	email	NOUN
ejpam-5327	13	5	addresses	address	NOUN
ejpam-5327	13	6	:	:	PUNCT
ejpam-5327	13	7	george.akuchu@unn.edu.ng	george.akuchu@unn.edu.ng	PROPN
ejpam-5327	13	8	(	(	PUNCT
ejpam-5327	13	9	b.	b.	PROPN
ejpam-5327	13	10	g.	g.	PROPN
ejpam-5327	13	11	akuchu	akuchu	PROPN
ejpam-5327	13	12	)	)	PUNCT
ejpam-5327	13	13	,	,	PUNCT
ejpam-5327	13	14	uzoamaka.ezeafulukwe@unn.edu.ng	uzoamaka.ezeafulukwe@unn.edu.ng	PROPN
ejpam-5327	13	15	(	(	PUNCT
ejpam-5327	13	16	u.	u.	NOUN
ejpam-5327	13	17	a.	a.	PROPN
ejpam-5327	13	18	ezefulukwea	ezefulukwea	PROPN
ejpam-5327	13	19	)	)	PUNCT
ejpam-5327	13	20	,	,	PUNCT
ejpam-5327	13	21	maggie.aphane@smu.ac.za	maggie.aphane@smu.ac.za	PROPN
ejpam-5327	13	22	(	(	PUNCT
ejpam-5327	13	23	m.	m.	NOUN
ejpam-5327	13	24	aphane	aphane	PROPN
ejpam-5327	13	25	)	)	PUNCT
ejpam-5327	13	26	,	,	PUNCT
ejpam-5327	13	27	gcugwunnadi@uniswa.sz	gcugwunnadi@uniswa.sz	PROPN
ejpam-5327	13	28	(	(	PUNCT
ejpam-5327	13	29	g.	g.	PROPN
ejpam-5327	13	30	c.	c.	PROPN
ejpam-5327	13	31	ugwunnadi	ugwunnadi	PROPN
ejpam-5327	13	32	)	)	PUNCT
ejpam-5327	13	33	,	,	PUNCT
ejpam-5327	13	34	asanya.ebuka@gmail.com	asanya.ebuka@gmail.com	X
ejpam-5327	13	35	(	(	PUNCT
ejpam-5327	13	36	c.	c.	PROPN
ejpam-5327	13	37	m.	m.	PROPN
ejpam-5327	13	38	asanya	asanya	PROPN
ejpam-5327	13	39	)	)	PUNCT
ejpam-5327	13	40	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-5327	13	41	2246	2246	NUM
ejpam-5327	14	1	©	©	ADP
ejpam-5327	14	2	2024	2024	NUM
ejpam-5327	14	3	ejpam	ejpam	NOUN
ejpam-5327	14	4	all	all	DET
ejpam-5327	14	5	rights	right	NOUN
ejpam-5327	14	6	reserved	reserve	VERB
ejpam-5327	14	7	.	.	PUNCT
ejpam-5327	15	1	g.	g.	PROPN
ejpam-5327	15	2	c.	c.	PROPN
ejpam-5327	15	3	ugwunnadi	ugwunnadi	PROPN
ejpam-5327	15	4	et	et	PROPN
ejpam-5327	15	5	al	al	PROPN
ejpam-5327	15	6	.	.	PUNCT
ejpam-5327	15	7	/	/	SYM
ejpam-5327	15	8	eur	eur	PROPN
ejpam-5327	15	9	.	.	PUNCT
ejpam-5327	16	1	j.	j.	PROPN
ejpam-5327	16	2	pure	pure	PROPN
ejpam-5327	16	3	appl	appl	PROPN
ejpam-5327	16	4	.	.	PROPN
ejpam-5327	16	5	math	math	PROPN
ejpam-5327	16	6	,	,	PUNCT
ejpam-5327	16	7	17	17	NUM
ejpam-5327	16	8	(	(	PUNCT
ejpam-5327	16	9	3	3	NUM
ejpam-5327	16	10	)	)	PUNCT
ejpam-5327	16	11	(	(	PUNCT
ejpam-5327	16	12	2024	2024	NUM
ejpam-5327	16	13	)	)	PUNCT
ejpam-5327	16	14	,	,	PUNCT
ejpam-5327	16	15	2246	2246	NUM
ejpam-5327	16	16	-	-	SYM
ejpam-5327	16	17	2263	2263	NUM
ejpam-5327	16	18	2247	2247	NUM
ejpam-5327	16	19	(	(	PUNCT
ejpam-5327	16	20	ii	ii	NOUN
ejpam-5327	16	21	)	)	PUNCT
ejpam-5327	16	22	if	if	SCONJ
ejpam-5327	16	23	a	a	DET
ejpam-5327	16	24	real	real	ADJ
ejpam-5327	16	25	constant	constant	ADJ
ejpam-5327	16	26	l	l	NOUN
ejpam-5327	16	27	>	>	X
ejpam-5327	16	28	0	0	NUM
ejpam-5327	16	29	exists	exist	VERB
ejpam-5327	16	30	,	,	PUNCT
ejpam-5327	16	31	then	then	ADV
ejpam-5327	16	32	for	for	ADP
ejpam-5327	16	33	every	every	DET
ejpam-5327	16	34	a	a	PROPN
ejpam-5327	16	35	,	,	PUNCT
ejpam-5327	16	36	b	b	PROPN
ejpam-5327	16	37	∈	∈	PROPN
ejpam-5327	16	38	k	k	NOUN
ejpam-5327	16	39	,	,	PUNCT
ejpam-5327	16	40	||t	||t	ADJ
ejpam-5327	16	41	a−	a−	PROPN
ejpam-5327	16	42	t	t	PROPN
ejpam-5327	16	43	b||	b||	NUM
ejpam-5327	16	44	≤	≤	PROPN
ejpam-5327	16	45	l||a−	l||a−	PROPN
ejpam-5327	16	46	b||	b||	NUM
ejpam-5327	16	47	,	,	PUNCT
ejpam-5327	16	48	is	be	AUX
ejpam-5327	16	49	called	call	VERB
ejpam-5327	16	50	l−lipschitzian	l−lipschitzian	PROPN
ejpam-5327	16	51	.	.	PUNCT
ejpam-5327	17	1	recall	recall	VERB
ejpam-5327	17	2	that	that	SCONJ
ejpam-5327	17	3	all	all	DET
ejpam-5327	17	4	nonexpansive	nonexpansive	ADJ
ejpam-5327	17	5	mappings	mapping	NOUN
ejpam-5327	17	6	are	be	AUX
ejpam-5327	17	7	l−lipschitzian	l−lipschitzian	ADJ
ejpam-5327	17	8	mappings	mapping	NOUN
ejpam-5327	17	9	,	,	PUNCT
ejpam-5327	17	10	where	where	SCONJ
ejpam-5327	17	11	l	l	NOUN
ejpam-5327	18	1	=	=	SYM
ejpam-5327	18	2	1	1	NUM
ejpam-5327	18	3	(	(	PUNCT
ejpam-5327	18	4	i.e.	i.e.	X
ejpam-5327	18	5	,	,	PUNCT
ejpam-5327	18	6	continuous	continuous	ADJ
ejpam-5327	18	7	)	)	PUNCT
ejpam-5327	18	8	.	.	PUNCT
ejpam-5327	19	1	in	in	ADP
ejpam-5327	19	2	recent	recent	ADJ
ejpam-5327	19	3	years	year	NOUN
ejpam-5327	19	4	,	,	PUNCT
ejpam-5327	19	5	academics	academic	NOUN
ejpam-5327	19	6	have	have	AUX
ejpam-5327	19	7	become	become	VERB
ejpam-5327	19	8	quite	quite	ADV
ejpam-5327	19	9	interested	interested	ADJ
ejpam-5327	19	10	in	in	ADP
ejpam-5327	19	11	the	the	DET
ejpam-5327	19	12	study	study	NOUN
ejpam-5327	19	13	of	of	ADP
ejpam-5327	19	14	fixed	fix	VERB
ejpam-5327	19	15	points	point	NOUN
ejpam-5327	19	16	of	of	ADP
ejpam-5327	19	17	nonexpansive	nonexpansive	ADJ
ejpam-5327	19	18	mappings	mapping	NOUN
ejpam-5327	19	19	and	and	CCONJ
ejpam-5327	19	20	their	their	PRON
ejpam-5327	19	21	generalizations	generalization	NOUN
ejpam-5327	19	22	.	.	PUNCT
ejpam-5327	20	1	the	the	DET
ejpam-5327	20	2	reason	reason	NOUN
ejpam-5327	20	3	behind	behind	ADP
ejpam-5327	20	4	this	this	PRON
ejpam-5327	20	5	is	be	AUX
ejpam-5327	20	6	that	that	SCONJ
ejpam-5327	20	7	fixed	fix	VERB
ejpam-5327	20	8	points	point	NOUN
ejpam-5327	20	9	of	of	ADP
ejpam-5327	20	10	nonexpansive	nonexpansive	ADJ
ejpam-5327	20	11	mappings	mapping	NOUN
ejpam-5327	20	12	have	have	VERB
ejpam-5327	20	13	numerous	numerous	ADJ
ejpam-5327	20	14	practical	practical	ADJ
ejpam-5327	20	15	uses	use	NOUN
ejpam-5327	20	16	in	in	ADP
ejpam-5327	20	17	various	various	ADJ
ejpam-5327	20	18	fields	field	NOUN
ejpam-5327	20	19	,	,	PUNCT
ejpam-5327	20	20	such	such	ADJ
ejpam-5327	20	21	as	as	ADP
ejpam-5327	20	22	computer	computer	NOUN
ejpam-5327	20	23	tomography	tomography	NOUN
ejpam-5327	20	24	and	and	CCONJ
ejpam-5327	20	25	image	image	NOUN
ejpam-5327	20	26	recovery	recovery	NOUN
ejpam-5327	20	27	,	,	PUNCT
ejpam-5327	20	28	mostly	mostly	ADV
ejpam-5327	20	29	due	due	ADP
ejpam-5327	20	30	to	to	ADP
ejpam-5327	20	31	their	their	PRON
ejpam-5327	20	32	close	close	ADJ
ejpam-5327	20	33	relationship	relationship	NOUN
ejpam-5327	20	34	with	with	ADP
ejpam-5327	20	35	the	the	DET
ejpam-5327	20	36	accretive	accretive	ADJ
ejpam-5327	20	37	operator	operator	NOUN
ejpam-5327	20	38	class	class	NOUN
ejpam-5327	20	39	(	(	PUNCT
ejpam-5327	20	40	sometimes	sometimes	ADV
ejpam-5327	20	41	referred	refer	VERB
ejpam-5327	20	42	to	to	ADP
ejpam-5327	20	43	as	as	ADP
ejpam-5327	20	44	monotone	monotone	ADJ
ejpam-5327	20	45	operators	operator	NOUN
ejpam-5327	20	46	in	in	ADP
ejpam-5327	20	47	hilbert	hilbert	PROPN
ejpam-5327	20	48	spaces	space	NOUN
ejpam-5327	20	49	)	)	PUNCT
ejpam-5327	20	50	.	.	PUNCT
ejpam-5327	21	1	given	give	VERB
ejpam-5327	21	2	a	a	DET
ejpam-5327	21	3	proper	proper	ADJ
ejpam-5327	21	4	function	function	NOUN
ejpam-5327	21	5	f	f	NOUN
ejpam-5327	21	6	:	:	PUNCT
ejpam-5327	21	7	h	h	NOUN
ejpam-5327	21	8	→	→	PUNCT
ejpam-5327	21	9	(	(	PUNCT
ejpam-5327	21	10	−∞,+∞	−∞,+∞	ADV
ejpam-5327	21	11	]	]	PUNCT
ejpam-5327	21	12	,	,	PUNCT
ejpam-5327	21	13	let	let	VERB
ejpam-5327	21	14	∂f	∂f	PROPN
ejpam-5327	21	15	represent	represent	VERB
ejpam-5327	21	16	its	its	PRON
ejpam-5327	21	17	subdifferential	subdifferential	NOUN
ejpam-5327	21	18	.	.	PUNCT
ejpam-5327	22	1	typically	typically	ADV
ejpam-5327	22	2	,	,	PUNCT
ejpam-5327	22	3	one	one	PRON
ejpam-5327	22	4	would	would	AUX
ejpam-5327	22	5	demonstrate	demonstrate	VERB
ejpam-5327	22	6	that	that	SCONJ
ejpam-5327	22	7	a	a	DET
ejpam-5327	22	8	minimizer	minimizer	NOUN
ejpam-5327	22	9	of	of	ADP
ejpam-5327	22	10	f	f	PROPN
ejpam-5327	22	11	is	be	AUX
ejpam-5327	22	12	any	any	DET
ejpam-5327	22	13	zero	zero	NUM
ejpam-5327	22	14	of	of	ADP
ejpam-5327	22	15	∂f	∂f	PROPN
ejpam-5327	22	16	.	.	PUNCT
ejpam-5327	23	1	the	the	DET
ejpam-5327	23	2	fact	fact	NOUN
ejpam-5327	23	3	that	that	SCONJ
ejpam-5327	23	4	∂f	∂f	PROPN
ejpam-5327	23	5	is	be	AUX
ejpam-5327	23	6	a	a	DET
ejpam-5327	23	7	monotone	monotone	ADJ
ejpam-5327	23	8	operator	operator	NOUN
ejpam-5327	23	9	is	be	AUX
ejpam-5327	23	10	well	well	ADV
ejpam-5327	23	11	known	know	VERB
ejpam-5327	23	12	(	(	PUNCT
ejpam-5327	23	13	see	see	VERB
ejpam-5327	23	14	[	[	X
ejpam-5327	23	15	3	3	NUM
ejpam-5327	23	16	,	,	PUNCT
ejpam-5327	23	17	example	example	NOUN
ejpam-5327	23	18	20.3	20.3	NUM
ejpam-5327	23	19	]	]	PUNCT
ejpam-5327	23	20	)	)	PUNCT
ejpam-5327	23	21	.	.	PUNCT
ejpam-5327	24	1	in	in	ADP
ejpam-5327	24	2	1967	1967	NUM
ejpam-5327	24	3	,	,	PUNCT
ejpam-5327	24	4	browder	browder	NOUN
ejpam-5327	24	5	[	[	X
ejpam-5327	24	6	5	5	NUM
ejpam-5327	24	7	]	]	PUNCT
ejpam-5327	24	8	and	and	CCONJ
ejpam-5327	24	9	kato	kato	PROPN
ejpam-5327	24	10	[	[	X
ejpam-5327	24	11	11	11	NUM
ejpam-5327	24	12	]	]	PUNCT
ejpam-5327	24	13	introduced	introduce	VERB
ejpam-5327	24	14	the	the	DET
ejpam-5327	24	15	accretive	accretive	ADJ
ejpam-5327	24	16	operators	operator	NOUN
ejpam-5327	24	17	separately	separately	ADV
ejpam-5327	24	18	.	.	PUNCT
ejpam-5327	25	1	according	accord	VERB
ejpam-5327	25	2	to	to	ADP
ejpam-5327	25	3	browder	browder	NOUN
ejpam-5327	25	4	[	[	X
ejpam-5327	25	5	5	5	NUM
ejpam-5327	25	6	]	]	PUNCT
ejpam-5327	25	7	,	,	PUNCT
ejpam-5327	25	8	if	if	SCONJ
ejpam-5327	25	9	a	a	PRON
ejpam-5327	25	10	is	be	AUX
ejpam-5327	25	11	lipschitzian	lipschitzian	ADJ
ejpam-5327	25	12	and	and	CCONJ
ejpam-5327	25	13	accretive	accretive	ADJ
ejpam-5327	25	14	,	,	PUNCT
ejpam-5327	25	15	then	then	ADV
ejpam-5327	25	16	du	du	PROPN
ejpam-5327	25	17	dt	dt	PROPN
ejpam-5327	26	1	+	+	NOUN
ejpam-5327	26	2	au	au	X
ejpam-5327	26	3	=	=	SYM
ejpam-5327	26	4	0	0	NUM
ejpam-5327	26	5	,	,	PUNCT
ejpam-5327	26	6	u(0	u(0	NOUN
ejpam-5327	26	7	)	)	PUNCT
ejpam-5327	26	8	=	=	PRON
ejpam-5327	26	9	u0	u0	PROPN
ejpam-5327	26	10	is	be	AUX
ejpam-5327	26	11	solvable	solvable	ADJ
ejpam-5327	26	12	.	.	PUNCT
ejpam-5327	27	1	this	this	PRON
ejpam-5327	27	2	is	be	AUX
ejpam-5327	27	3	a	a	DET
ejpam-5327	27	4	key	key	ADJ
ejpam-5327	27	5	result	result	NOUN
ejpam-5327	27	6	in	in	ADP
ejpam-5327	27	7	the	the	DET
ejpam-5327	27	8	theory	theory	NOUN
ejpam-5327	27	9	of	of	ADP
ejpam-5327	27	10	accretive	accretive	ADJ
ejpam-5327	27	11	operators	operator	NOUN
ejpam-5327	27	12	.	.	PUNCT
ejpam-5327	28	1	it	it	PRON
ejpam-5327	28	2	is	be	AUX
ejpam-5327	28	3	well	well	ADV
ejpam-5327	28	4	known	know	VERB
ejpam-5327	28	5	(	(	PUNCT
ejpam-5327	28	6	see	see	VERB
ejpam-5327	28	7	,	,	PUNCT
ejpam-5327	28	8	for	for	ADP
ejpam-5327	28	9	example	example	NOUN
ejpam-5327	28	10	,	,	PUNCT
ejpam-5327	28	11	[	[	X
ejpam-5327	28	12	20	20	NUM
ejpam-5327	28	13	]	]	PUNCT
ejpam-5327	28	14	)	)	PUNCT
ejpam-5327	28	15	that	that	SCONJ
ejpam-5327	28	16	if	if	SCONJ
ejpam-5327	28	17	a	a	PRON
ejpam-5327	28	18	:	:	PUNCT
ejpam-5327	28	19	k	k	PROPN
ejpam-5327	28	20	→	→	PUNCT
ejpam-5327	28	21	k	k	PROPN
ejpam-5327	28	22	is	be	AUX
ejpam-5327	28	23	an	an	DET
ejpam-5327	28	24	accretive	accretive	ADJ
ejpam-5327	28	25	operator	operator	NOUN
ejpam-5327	28	26	,	,	PUNCT
ejpam-5327	28	27	then	then	ADV
ejpam-5327	28	28	the	the	DET
ejpam-5327	28	29	resolvent	resolvent	NOUN
ejpam-5327	28	30	of	of	ADP
ejpam-5327	28	31	a	a	PRON
ejpam-5327	28	32	,	,	PUNCT
ejpam-5327	28	33	given	give	VERB
ejpam-5327	28	34	by	by	ADP
ejpam-5327	28	35	jλ	jλ	ADP
ejpam-5327	28	36	a	a	PRON
ejpam-5327	28	37	:	:	PUNCT
ejpam-5327	28	38	=	=	SYM
ejpam-5327	28	39	(	(	PUNCT
ejpam-5327	28	40	i	i	PRON
ejpam-5327	28	41	+	+	X
ejpam-5327	28	42	λa)−1	λa)−1	CCONJ
ejpam-5327	28	43	,	,	PUNCT
ejpam-5327	28	44	and	and	CCONJ
ejpam-5327	28	45	denoted	denote	VERB
ejpam-5327	28	46	by	by	ADP
ejpam-5327	28	47	jλ	jλ	ADV
ejpam-5327	28	48	a	a	PRON
ejpam-5327	28	49	,	,	PUNCT
ejpam-5327	28	50	is	be	AUX
ejpam-5327	28	51	a	a	DET
ejpam-5327	28	52	nonexpansive	nonexpansive	ADJ
ejpam-5327	28	53	operator	operator	NOUN
ejpam-5327	28	54	for	for	ADP
ejpam-5327	28	55	any	any	DET
ejpam-5327	28	56	real	real	ADJ
ejpam-5327	28	57	constant	constant	ADJ
ejpam-5327	28	58	λ	λ	X
ejpam-5327	28	59	>	>	X
ejpam-5327	28	60	0	0	NUM
ejpam-5327	28	61	.	.	PUNCT
ejpam-5327	29	1	the	the	DET
ejpam-5327	29	2	set	set	NOUN
ejpam-5327	29	3	of	of	ADP
ejpam-5327	29	4	zeros	zero	NOUN
ejpam-5327	29	5	of	of	ADP
ejpam-5327	29	6	a	a	PRON
ejpam-5327	29	7	is	be	AUX
ejpam-5327	29	8	denoted	denote	VERB
ejpam-5327	29	9	by	by	ADP
ejpam-5327	29	10	zer(a	zer(a	PROPN
ejpam-5327	29	11	)	)	PUNCT
ejpam-5327	29	12	and	and	CCONJ
ejpam-5327	29	13	defined	define	VERB
ejpam-5327	29	14	by	by	ADP
ejpam-5327	29	15	zer(a	zer(a	PROPN
ejpam-5327	29	16	)	)	PUNCT
ejpam-5327	30	1	:	:	PUNCT
ejpam-5327	30	2	=	=	X
ejpam-5327	30	3	{	{	PUNCT
ejpam-5327	30	4	a	a	DET
ejpam-5327	30	5	∈	∈	PROPN
ejpam-5327	30	6	h	h	NOUN
ejpam-5327	30	7	:	:	PUNCT
ejpam-5327	30	8	0	0	NUM
ejpam-5327	30	9	∈	∈	PROPN
ejpam-5327	30	10	aa	aa	NOUN
ejpam-5327	30	11	}	}	PUNCT
ejpam-5327	30	12	.	.	PUNCT
ejpam-5327	31	1	it	it	PRON
ejpam-5327	31	2	is	be	AUX
ejpam-5327	31	3	simply	simply	ADV
ejpam-5327	31	4	provable	provable	ADJ
ejpam-5327	31	5	that	that	SCONJ
ejpam-5327	31	6	the	the	DET
ejpam-5327	31	7	fixed	fix	VERB
ejpam-5327	31	8	points	point	NOUN
ejpam-5327	31	9	of	of	ADP
ejpam-5327	31	10	jλ	jλ	ADP
ejpam-5327	31	11	a	a	PRON
ejpam-5327	31	12	are	be	AUX
ejpam-5327	31	13	the	the	DET
ejpam-5327	31	14	zeros	zero	NOUN
ejpam-5327	31	15	of	of	ADP
ejpam-5327	31	16	a.	a.	NOUN
ejpam-5327	31	17	as	as	ADP
ejpam-5327	31	18	such	such	ADJ
ejpam-5327	31	19	,	,	PUNCT
ejpam-5327	31	20	the	the	DET
ejpam-5327	31	21	study	study	NOUN
ejpam-5327	31	22	of	of	ADP
ejpam-5327	31	23	fixed	fix	VERB
ejpam-5327	31	24	points	point	NOUN
ejpam-5327	31	25	of	of	ADP
ejpam-5327	31	26	nonexpansive	nonexpansive	ADJ
ejpam-5327	31	27	mappings	mapping	NOUN
ejpam-5327	31	28	unifies	unify	VERB
ejpam-5327	31	29	a	a	DET
ejpam-5327	31	30	number	number	NOUN
ejpam-5327	31	31	of	of	ADP
ejpam-5327	31	32	application	application	NOUN
ejpam-5327	31	33	domains	domain	NOUN
ejpam-5327	31	34	that	that	PRON
ejpam-5327	31	35	are	be	AUX
ejpam-5327	31	36	otherwise	otherwise	ADV
ejpam-5327	31	37	divided	divide	VERB
ejpam-5327	31	38	by	by	ADP
ejpam-5327	31	39	the	the	DET
ejpam-5327	31	40	theory	theory	NOUN
ejpam-5327	31	41	of	of	ADP
ejpam-5327	31	42	accretive	accretive	ADJ
ejpam-5327	31	43	operators	operator	NOUN
ejpam-5327	31	44	(	(	PUNCT
ejpam-5327	31	45	see	see	VERB
ejpam-5327	31	46	,	,	PUNCT
ejpam-5327	31	47	for	for	ADP
ejpam-5327	31	48	example	example	NOUN
ejpam-5327	31	49	,	,	PUNCT
ejpam-5327	31	50	[	[	X
ejpam-5327	31	51	27	27	NUM
ejpam-5327	31	52	]	]	NUM
ejpam-5327	31	53	)	)	PUNCT
ejpam-5327	31	54	.	.	PUNCT
ejpam-5327	32	1	several	several	ADJ
ejpam-5327	32	2	iterative	iterative	NOUN
ejpam-5327	32	3	techniques	technique	NOUN
ejpam-5327	32	4	for	for	ADP
ejpam-5327	32	5	addressing	address	VERB
ejpam-5327	32	6	fixed	fix	VERB
ejpam-5327	32	7	point	point	NOUN
ejpam-5327	32	8	problems	problem	NOUN
ejpam-5327	32	9	of	of	ADP
ejpam-5327	32	10	nonexpansive	nonexpansive	ADJ
ejpam-5327	32	11	mappings	mapping	NOUN
ejpam-5327	32	12	have	have	AUX
ejpam-5327	32	13	been	be	AUX
ejpam-5327	32	14	presented	present	VERB
ejpam-5327	32	15	and	and	CCONJ
ejpam-5327	32	16	analyzed	analyze	VERB
ejpam-5327	32	17	by	by	ADP
ejpam-5327	32	18	numerous	numerous	ADJ
ejpam-5327	32	19	writers	writer	NOUN
ejpam-5327	32	20	;	;	PUNCT
ejpam-5327	32	21	see	see	VERB
ejpam-5327	32	22	[	[	X
ejpam-5327	32	23	2	2	NUM
ejpam-5327	32	24	,	,	PUNCT
ejpam-5327	32	25	4	4	NUM
ejpam-5327	32	26	,	,	PUNCT
ejpam-5327	32	27	6	6	NUM
ejpam-5327	32	28	,	,	PUNCT
ejpam-5327	32	29	18	18	NUM
ejpam-5327	32	30	,	,	PUNCT
ejpam-5327	32	31	32	32	NUM
ejpam-5327	32	32	]	]	PUNCT
ejpam-5327	32	33	and	and	CCONJ
ejpam-5327	32	34	references	reference	NOUN
ejpam-5327	32	35	therein	therein	ADV
ejpam-5327	32	36	.	.	PUNCT
ejpam-5327	33	1	as	as	SCONJ
ejpam-5327	33	2	we	we	PRON
ejpam-5327	33	3	know	know	VERB
ejpam-5327	33	4	,	,	PUNCT
ejpam-5327	33	5	one	one	NUM
ejpam-5327	33	6	of	of	ADP
ejpam-5327	33	7	the	the	DET
ejpam-5327	33	8	most	most	ADV
ejpam-5327	33	9	famous	famous	ADJ
ejpam-5327	33	10	methods	method	NOUN
ejpam-5327	33	11	for	for	ADP
ejpam-5327	33	12	approximating	approximate	VERB
ejpam-5327	33	13	fixed	fix	VERB
ejpam-5327	33	14	points	point	NOUN
ejpam-5327	33	15	of	of	ADP
ejpam-5327	33	16	nonexpansive	nonexpansive	ADJ
ejpam-5327	33	17	mapping	mapping	NOUN
ejpam-5327	33	18	is	be	AUX
ejpam-5327	33	19	the	the	DET
ejpam-5327	33	20	mann	mann	PROPN
ejpam-5327	33	21	[	[	X
ejpam-5327	33	22	19	19	NUM
ejpam-5327	33	23	]	]	PUNCT
ejpam-5327	33	24	iterative	iterative	NOUN
ejpam-5327	33	25	process	process	NOUN
ejpam-5327	33	26	introduced	introduce	VERB
ejpam-5327	33	27	in	in	ADP
ejpam-5327	33	28	1953	1953	NUM
ejpam-5327	33	29	and	and	CCONJ
ejpam-5327	33	30	establishing	establish	VERB
ejpam-5327	33	31	the	the	DET
ejpam-5327	33	32	weak	weak	ADJ
ejpam-5327	33	33	convergence	convergence	NOUN
ejpam-5327	33	34	theorem	theorem	NOUN
ejpam-5327	33	35	for	for	ADP
ejpam-5327	33	36	the	the	DET
ejpam-5327	33	37	sequence	sequence	NOUN
ejpam-5327	33	38	.	.	PUNCT
ejpam-5327	34	1	the	the	DET
ejpam-5327	34	2	algorithm	algorithm	NOUN
ejpam-5327	34	3	is	be	AUX
ejpam-5327	34	4	of	of	ADP
ejpam-5327	34	5	the	the	DET
ejpam-5327	34	6	form	form	NOUN
ejpam-5327	34	7	:	:	PUNCT
ejpam-5327	34	8	for	for	ADP
ejpam-5327	34	9	each	each	DET
ejpam-5327	34	10	random	random	ADJ
ejpam-5327	34	11	a0	a0	PROPN
ejpam-5327	34	12	∈	∈	PROPN
ejpam-5327	34	13	k	k	X
ejpam-5327	34	14	an+1	an+1	PROPN
ejpam-5327	34	15	=	=	SYM
ejpam-5327	34	16	(	(	PUNCT
ejpam-5327	34	17	1−	1−	NUM
ejpam-5327	34	18	αn)an	αn)an	NUM
ejpam-5327	34	19	+	+	CCONJ
ejpam-5327	34	20	αnt	αnt	VERB
ejpam-5327	34	21	an	an	PRON
ejpam-5327	34	22	,	,	PUNCT
ejpam-5327	34	23	(	(	PUNCT
ejpam-5327	34	24	1	1	X
ejpam-5327	34	25	)	)	PUNCT
ejpam-5327	34	26	where	where	SCONJ
ejpam-5327	34	27	{	{	PUNCT
ejpam-5327	34	28	αn	αn	NOUN
ejpam-5327	34	29	}	}	PUNCT
ejpam-5327	34	30	⊂	⊂	PROPN
ejpam-5327	34	31	(	(	PUNCT
ejpam-5327	34	32	0	0	NUM
ejpam-5327	34	33	,	,	PUNCT
ejpam-5327	34	34	1	1	NUM
ejpam-5327	34	35	)	)	PUNCT
ejpam-5327	34	36	is	be	AUX
ejpam-5327	34	37	a	a	DET
ejpam-5327	34	38	real	real	ADJ
ejpam-5327	34	39	sequence	sequence	NOUN
ejpam-5327	34	40	.	.	PUNCT
ejpam-5327	35	1	under	under	ADP
ejpam-5327	35	2	the	the	DET
ejpam-5327	35	3	condition	condition	NOUN
ejpam-5327	35	4	∑	∑	PUNCT
ejpam-5327	35	5	αn(1−	αn(1−	PROPN
ejpam-5327	35	6	αn	αn	NOUN
ejpam-5327	35	7	)	)	PUNCT
ejpam-5327	35	8	=	=	PUNCT
ejpam-5327	36	1	+	+	NUM
ejpam-5327	36	2	∞.	∞.	PROPN
ejpam-5327	36	3	however	however	ADV
ejpam-5327	36	4	,	,	PUNCT
ejpam-5327	36	5	the	the	DET
ejpam-5327	36	6	mann	mann	PROPN
ejpam-5327	36	7	sequence	sequence	NOUN
ejpam-5327	36	8	has	have	VERB
ejpam-5327	36	9	a	a	DET
ejpam-5327	36	10	very	very	ADV
ejpam-5327	36	11	slow	slow	ADJ
ejpam-5327	36	12	rate	rate	NOUN
ejpam-5327	36	13	of	of	ADP
ejpam-5327	36	14	convergence	convergence	NOUN
ejpam-5327	36	15	.	.	PUNCT
ejpam-5327	37	1	in	in	ADP
ejpam-5327	37	2	[	[	X
ejpam-5327	37	3	29	29	NUM
ejpam-5327	37	4	]	]	PUNCT
ejpam-5327	37	5	,	,	PUNCT
ejpam-5327	37	6	the	the	DET
ejpam-5327	37	7	authors	author	NOUN
ejpam-5327	37	8	noted	note	VERB
ejpam-5327	37	9	that	that	SCONJ
ejpam-5327	37	10	the	the	DET
ejpam-5327	37	11	rate	rate	NOUN
ejpam-5327	37	12	at	at	ADP
ejpam-5327	37	13	which	which	PRON
ejpam-5327	37	14	the	the	DET
ejpam-5327	37	15	fixed	fix	VERB
ejpam-5327	37	16	points	point	NOUN
ejpam-5327	37	17	are	be	AUX
ejpam-5327	37	18	approximated	approximate	VERB
ejpam-5327	37	19	using	use	VERB
ejpam-5327	37	20	a	a	DET
ejpam-5327	37	21	particular	particular	ADJ
ejpam-5327	37	22	approach	approach	NOUN
ejpam-5327	37	23	needs	need	VERB
ejpam-5327	37	24	to	to	PART
ejpam-5327	37	25	be	be	AUX
ejpam-5327	37	26	as	as	ADV
ejpam-5327	37	27	fast	fast	ADJ
ejpam-5327	37	28	as	as	ADP
ejpam-5327	37	29	possible	possible	ADJ
ejpam-5327	37	30	in	in	SCONJ
ejpam-5327	37	31	order	order	NOUN
ejpam-5327	37	32	to	to	PART
ejpam-5327	37	33	make	make	VERB
ejpam-5327	37	34	real	real	ADJ
ejpam-5327	37	35	systems	system	NOUN
ejpam-5327	37	36	stable	stable	ADJ
ejpam-5327	37	37	and	and	CCONJ
ejpam-5327	37	38	dependable	dependable	ADJ
ejpam-5327	37	39	(	(	PUNCT
ejpam-5327	37	40	see	see	VERB
ejpam-5327	37	41	,	,	PUNCT
ejpam-5327	37	42	for	for	ADP
ejpam-5327	37	43	instance	instance	NOUN
ejpam-5327	37	44	,	,	PUNCT
ejpam-5327	37	45	[	[	X
ejpam-5327	37	46	14	14	NUM
ejpam-5327	37	47	,	,	PUNCT
ejpam-5327	37	48	15	15	NUM
ejpam-5327	37	49	]	]	NUM
ejpam-5327	37	50	)	)	PUNCT
ejpam-5327	37	51	.	.	PUNCT
ejpam-5327	38	1	this	this	PRON
ejpam-5327	38	2	is	be	AUX
ejpam-5327	38	3	the	the	DET
ejpam-5327	38	4	reason	reason	NOUN
ejpam-5327	38	5	why	why	SCONJ
ejpam-5327	38	6	a	a	DET
ejpam-5327	38	7	lot	lot	NOUN
ejpam-5327	38	8	of	of	ADP
ejpam-5327	38	9	writers	writer	NOUN
ejpam-5327	38	10	have	have	AUX
ejpam-5327	38	11	focused	focus	VERB
ejpam-5327	38	12	their	their	PRON
ejpam-5327	38	13	attention	attention	NOUN
ejpam-5327	38	14	on	on	ADP
ejpam-5327	38	15	studying	study	VERB
ejpam-5327	38	16	fast	fast	ADJ
ejpam-5327	38	17	converging	converge	VERB
ejpam-5327	38	18	iteration	iteration	NOUN
ejpam-5327	38	19	algorithms	algorithm	NOUN
ejpam-5327	38	20	.	.	PUNCT
ejpam-5327	39	1	many	many	ADJ
ejpam-5327	39	2	authors	author	NOUN
ejpam-5327	39	3	(	(	PUNCT
ejpam-5327	39	4	e.g.	e.g.	ADV
ejpam-5327	39	5	,	,	PUNCT
ejpam-5327	39	6	[	[	X
ejpam-5327	39	7	8	8	NUM
ejpam-5327	39	8	,	,	PUNCT
ejpam-5327	39	9	9	9	NUM
ejpam-5327	39	10	,	,	PUNCT
ejpam-5327	39	11	16	16	NUM
ejpam-5327	39	12	,	,	PUNCT
ejpam-5327	39	13	17	17	NUM
ejpam-5327	39	14	,	,	PUNCT
ejpam-5327	39	15	22	22	NUM
ejpam-5327	39	16	,	,	PUNCT
ejpam-5327	39	17	30	30	NUM
ejpam-5327	39	18	,	,	PUNCT
ejpam-5327	39	19	31	31	NUM
ejpam-5327	39	20	]	]	PUNCT
ejpam-5327	39	21	)	)	PUNCT
ejpam-5327	39	22	have	have	AUX
ejpam-5327	39	23	explored	explore	VERB
ejpam-5327	39	24	the	the	DET
ejpam-5327	39	25	iteration	iteration	NOUN
ejpam-5327	39	26	approach	approach	NOUN
ejpam-5327	39	27	with	with	ADP
ejpam-5327	39	28	inertial	inertial	ADJ
ejpam-5327	39	29	extrapolations	extrapolation	NOUN
ejpam-5327	39	30	in	in	ADP
ejpam-5327	39	31	the	the	DET
ejpam-5327	39	32	recent	recent	ADJ
ejpam-5327	39	33	past	past	NOUN
ejpam-5327	39	34	.	.	PUNCT
ejpam-5327	40	1	the	the	DET
ejpam-5327	40	2	inertial	inertial	ADJ
ejpam-5327	40	3	term	term	NOUN
ejpam-5327	40	4	,	,	PUNCT
ejpam-5327	40	5	which	which	PRON
ejpam-5327	40	6	is	be	AUX
ejpam-5327	40	7	added	add	VERB
ejpam-5327	40	8	to	to	ADP
ejpam-5327	40	9	these	these	DET
ejpam-5327	40	10	algorithms	algorithm	NOUN
ejpam-5327	40	11	in	in	ADP
ejpam-5327	40	12	an	an	DET
ejpam-5327	40	13	attempt	attempt	NOUN
ejpam-5327	40	14	to	to	PART
ejpam-5327	40	15	accelerate	accelerate	VERB
ejpam-5327	40	16	the	the	DET
ejpam-5327	40	17	convergence	convergence	NOUN
ejpam-5327	40	18	rate	rate	NOUN
ejpam-5327	40	19	,	,	PUNCT
ejpam-5327	40	20	is	be	AUX
ejpam-5327	40	21	what	what	PRON
ejpam-5327	40	22	distinguishes	distinguish	VERB
ejpam-5327	40	23	them	they	PRON
ejpam-5327	40	24	.	.	PUNCT
ejpam-5327	41	1	typically	typically	ADV
ejpam-5327	41	2	,	,	PUNCT
ejpam-5327	41	3	the	the	DET
ejpam-5327	41	4	inertial	inertial	NOUN
ejpam-5327	41	5	g.	g.	PROPN
ejpam-5327	41	6	c.	c.	PROPN
ejpam-5327	41	7	ugwunnadi	ugwunnadi	PROPN
ejpam-5327	41	8	et	et	PROPN
ejpam-5327	41	9	al	al	PROPN
ejpam-5327	41	10	.	.	PUNCT
ejpam-5327	41	11	/	/	SYM
ejpam-5327	41	12	eur	eur	PROPN
ejpam-5327	41	13	.	.	PUNCT
ejpam-5327	42	1	j.	j.	PROPN
ejpam-5327	42	2	pure	pure	PROPN
ejpam-5327	42	3	appl	appl	PROPN
ejpam-5327	42	4	.	.	PROPN
ejpam-5327	42	5	math	math	PROPN
ejpam-5327	42	6	,	,	PUNCT
ejpam-5327	42	7	17	17	NUM
ejpam-5327	42	8	(	(	PUNCT
ejpam-5327	42	9	3	3	NUM
ejpam-5327	42	10	)	)	PUNCT
ejpam-5327	42	11	(	(	PUNCT
ejpam-5327	42	12	2024	2024	NUM
ejpam-5327	42	13	)	)	PUNCT
ejpam-5327	42	14	,	,	PUNCT
ejpam-5327	42	15	2246	2246	NUM
ejpam-5327	42	16	-	-	SYM
ejpam-5327	42	17	2263	2263	NUM
ejpam-5327	42	18	2248	2248	NUM
ejpam-5327	42	19	term	term	NOUN
ejpam-5327	42	20	has	have	VERB
ejpam-5327	42	21	the	the	DET
ejpam-5327	42	22	form	form	NOUN
ejpam-5327	42	23	αn(an	αn(an	PROPN
ejpam-5327	42	24	−	−	NOUN
ejpam-5327	42	25	an−1	an−1	ADJ
ejpam-5327	42	26	)	)	PUNCT
ejpam-5327	42	27	and	and	CCONJ
ejpam-5327	42	28	meets	meet	VERB
ejpam-5327	42	29	specific	specific	ADJ
ejpam-5327	42	30	requirements	requirement	NOUN
ejpam-5327	42	31	.	.	PUNCT
ejpam-5327	43	1	a	a	DET
ejpam-5327	43	2	portion	portion	NOUN
ejpam-5327	43	3	of	of	ADP
ejpam-5327	43	4	the	the	DET
ejpam-5327	43	5	inertial	inertial	ADJ
ejpam-5327	43	6	terms	term	NOUN
ejpam-5327	43	7	technique	technique	NOUN
ejpam-5327	43	8	can	can	AUX
ejpam-5327	43	9	be	be	AUX
ejpam-5327	43	10	found	find	VERB
ejpam-5327	43	11	in	in	ADP
ejpam-5327	43	12	[	[	X
ejpam-5327	43	13	2	2	NUM
ejpam-5327	43	14	,	,	PUNCT
ejpam-5327	43	15	18	18	NUM
ejpam-5327	43	16	]	]	PUNCT
ejpam-5327	43	17	,	,	PUNCT
ejpam-5327	43	18	where	where	SCONJ
ejpam-5327	43	19	the	the	DET
ejpam-5327	43	20	following	follow	VERB
ejpam-5327	43	21	theorems	theorem	NOUN
ejpam-5327	43	22	were	be	AUX
ejpam-5327	43	23	presented	present	VERB
ejpam-5327	43	24	:	:	PUNCT
ejpam-5327	43	25	theorem	theorem	NOUN
ejpam-5327	43	26	1	1	NUM
ejpam-5327	43	27	.	.	PUNCT
ejpam-5327	44	1	[	[	X
ejpam-5327	44	2	2	2	NUM
ejpam-5327	44	3	,	,	PUNCT
ejpam-5327	44	4	alvarez	alvarez	PROPN
ejpam-5327	44	5	and	and	CCONJ
ejpam-5327	44	6	attouch	attouch	PROPN
ejpam-5327	44	7	]	]	PUNCT
ejpam-5327	44	8	let	let	VERB
ejpam-5327	44	9	h	h	NOUN
ejpam-5327	44	10	be	be	AUX
ejpam-5327	44	11	a	a	DET
ejpam-5327	44	12	real	real	ADJ
ejpam-5327	44	13	hilbert	hilbert	NOUN
ejpam-5327	44	14	space	space	NOUN
ejpam-5327	44	15	.	.	PUNCT
ejpam-5327	45	1	for	for	ADP
ejpam-5327	45	2	any	any	DET
ejpam-5327	45	3	arbitrary	arbitrary	ADJ
ejpam-5327	45	4	points	point	NOUN
ejpam-5327	45	5	a0	a0	NOUN
ejpam-5327	45	6	,	,	PUNCT
ejpam-5327	45	7	a1	a1	NOUN
ejpam-5327	45	8	in	in	ADP
ejpam-5327	45	9	h	h	NOUN
ejpam-5327	45	10	,	,	PUNCT
ejpam-5327	45	11	let	let	VERB
ejpam-5327	45	12	{	{	PUNCT
ejpam-5327	45	13	an	an	PRON
ejpam-5327	45	14	}	}	PUNCT
ejpam-5327	45	15	be	be	AUX
ejpam-5327	45	16	a	a	DET
ejpam-5327	45	17	sequence	sequence	NOUN
ejpam-5327	45	18	generated	generate	VERB
ejpam-5327	45	19	as	as	ADP
ejpam-5327	45	20	an+1	an+1	NOUN
ejpam-5327	45	21	=	=	SYM
ejpam-5327	45	22	ja	ja	PROPN
ejpam-5327	45	23	λn	λn	NOUN
ejpam-5327	45	24	(	(	PUNCT
ejpam-5327	45	25	an	an	DET
ejpam-5327	45	26	+	+	ADJ
ejpam-5327	45	27	αn(an	αn(an	NOUN
ejpam-5327	45	28	−	−	NOUN
ejpam-5327	45	29	an−1	an−1	ADJ
ejpam-5327	45	30	)	)	PUNCT
ejpam-5327	45	31	)	)	PUNCT
ejpam-5327	45	32	,	,	PUNCT
ejpam-5327	45	33	n	n	X
ejpam-5327	45	34	≥	≥	NOUN
ejpam-5327	45	35	1	1	NUM
ejpam-5327	45	36	,	,	PUNCT
ejpam-5327	45	37	where	where	SCONJ
ejpam-5327	45	38	a	a	DET
ejpam-5327	45	39	:	:	PUNCT
ejpam-5327	45	40	h	h	NOUN
ejpam-5327	45	41	→	→	SYM
ejpam-5327	45	42	2h	2h	NUM
ejpam-5327	45	43	is	be	AUX
ejpam-5327	45	44	a	a	DET
ejpam-5327	45	45	maximal	maximal	ADJ
ejpam-5327	45	46	monotone	monotone	NOUN
ejpam-5327	45	47	operator	operator	NOUN
ejpam-5327	45	48	with	with	ADP
ejpam-5327	45	49	a−1(0	a−1(0	PRON
ejpam-5327	45	50	)	)	PUNCT
ejpam-5327	45	51	̸=	̸=	NOUN
ejpam-5327	45	52	∅	∅	NOUN
ejpam-5327	45	53	,	,	PUNCT
ejpam-5327	45	54	and	and	CCONJ
ejpam-5327	45	55	the	the	DET
ejpam-5327	45	56	parameters	parameter	NOUN
ejpam-5327	45	57	αn	αn	VERB
ejpam-5327	45	58	and	and	CCONJ
ejpam-5327	45	59	λn	λn	PROPN
ejpam-5327	45	60	satisfy	satisfy	VERB
ejpam-5327	45	61	(	(	PUNCT
ejpam-5327	45	62	i	i	NOUN
ejpam-5327	45	63	)	)	PUNCT
ejpam-5327	45	64	there	there	PRON
ejpam-5327	45	65	exists	exist	VERB
ejpam-5327	45	66	λ	λ	PROPN
ejpam-5327	45	67	>	>	X
ejpam-5327	45	68	0	0	NUM
ejpam-5327	46	1	such	such	ADJ
ejpam-5327	46	2	that	that	SCONJ
ejpam-5327	46	3	∀n	∀n	NUM
ejpam-5327	46	4	∈	∈	PROPN
ejpam-5327	46	5	n	n	CCONJ
ejpam-5327	46	6	,	,	PUNCT
ejpam-5327	46	7	λn	λn	PROPN
ejpam-5327	46	8	≥	≥	NUM
ejpam-5327	46	9	λ	λ	PROPN
ejpam-5327	46	10	.	.	PUNCT
ejpam-5327	46	11	(	(	PUNCT
ejpam-5327	46	12	ii	ii	NOUN
ejpam-5327	46	13	)	)	PUNCT
ejpam-5327	46	14	there	there	PRON
ejpam-5327	46	15	exists	exist	VERB
ejpam-5327	46	16	α	α	PRON
ejpam-5327	46	17	∈	∈	PROPN
ejpam-5327	47	1	[	[	X
ejpam-5327	47	2	0	0	NUM
ejpam-5327	47	3	,	,	PUNCT
ejpam-5327	47	4	1	1	NUM
ejpam-5327	47	5	]	]	PUNCT
ejpam-5327	47	6	such	such	ADJ
ejpam-5327	47	7	that	that	SCONJ
ejpam-5327	47	8	∀n	∀n	NUM
ejpam-5327	47	9	∈	∈	PROPN
ejpam-5327	47	10	n	n	CCONJ
ejpam-5327	47	11	,	,	PUNCT
ejpam-5327	47	12	0	0	NUM
ejpam-5327	47	13	≤	≤	NUM
ejpam-5327	47	14	αn	αn	NOUN
ejpam-5327	47	15	≤	≤	NUM
ejpam-5327	47	16	α	α	X
ejpam-5327	47	17	.	.	PUNCT
ejpam-5327	48	1	if	if	SCONJ
ejpam-5327	48	2	the	the	DET
ejpam-5327	48	3	following	follow	VERB
ejpam-5327	48	4	condition	condition	NOUN
ejpam-5327	48	5	holds	hold	VERB
ejpam-5327	48	6	+	+	NOUN
ejpam-5327	48	7	∞∑	∞∑	NUM
ejpam-5327	48	8	n=1	n=1	ADJ
ejpam-5327	48	9	αn∥an	αn∥an	PROPN
ejpam-5327	48	10	−	−	PROPN
ejpam-5327	48	11	an−1∥2	an−1∥2	PROPN
ejpam-5327	48	12	<	<	X
ejpam-5327	49	1	+	+	NOUN
ejpam-5327	49	2	∞	∞	PROPN
ejpam-5327	49	3	,	,	PUNCT
ejpam-5327	49	4	then	then	ADV
ejpam-5327	49	5	{	{	PUNCT
ejpam-5327	49	6	an	an	PRON
ejpam-5327	49	7	}	}	PUNCT
ejpam-5327	49	8	converges	converge	VERB
ejpam-5327	49	9	weakly	weakly	ADJ
ejpam-5327	49	10	to	to	ADP
ejpam-5327	49	11	a	a	DET
ejpam-5327	49	12	point	point	NOUN
ejpam-5327	49	13	in	in	ADP
ejpam-5327	49	14	a−1(0	a−1(0	NOUN
ejpam-5327	49	15	)	)	PUNCT
ejpam-5327	49	16	as	as	ADP
ejpam-5327	49	17	n	n	PROPN
ejpam-5327	49	18	→	→	PUNCT
ejpam-5327	49	19	+	+	PROPN
ejpam-5327	49	20	∞.	∞.	PROPN
ejpam-5327	49	21	in	in	ADP
ejpam-5327	49	22	2008	2008	NUM
ejpam-5327	49	23	,	,	PUNCT
ejpam-5327	49	24	mainge	mainge	VERB
ejpam-5327	49	25	[	[	X
ejpam-5327	49	26	18	18	NUM
ejpam-5327	49	27	]	]	PUNCT
ejpam-5327	49	28	introduced	introduce	VERB
ejpam-5327	49	29	the	the	DET
ejpam-5327	49	30	classical	classical	ADJ
ejpam-5327	49	31	inertial	inertial	ADJ
ejpam-5327	49	32	mann	mann	NOUN
ejpam-5327	49	33	-	-	PUNCT
ejpam-5327	49	34	type	type	NOUN
ejpam-5327	49	35	technique	technique	NOUN
ejpam-5327	49	36	as	as	ADP
ejpam-5327	49	37	follows:	follows:	PROPN
ejpam-5327	49	38	a0	a0	PROPN
ejpam-5327	49	39	,	,	PUNCT
ejpam-5327	49	40	a1	a1	PROPN
ejpam-5327	49	41	∈	∈	PROPN
ejpam-5327	49	42	h	h	NOUN
ejpam-5327	49	43	,	,	PUNCT
ejpam-5327	49	44	bn	bn	NOUN
ejpam-5327	49	45	=	=	SYM
ejpam-5327	49	46	an	an	DET
ejpam-5327	49	47	+	+	CCONJ
ejpam-5327	49	48	αn(an	αn(an	NOUN
ejpam-5327	49	49	−	−	NOUN
ejpam-5327	49	50	an−1	an−1	ADJ
ejpam-5327	49	51	)	)	PUNCT
ejpam-5327	49	52	,	,	PUNCT
ejpam-5327	49	53	an+1	an+1	NOUN
ejpam-5327	49	54	=	=	SYM
ejpam-5327	49	55	(	(	PUNCT
ejpam-5327	49	56	1−	1−	NUM
ejpam-5327	49	57	λn)yn	λn)yn	NOUN
ejpam-5327	49	58	+	+	CCONJ
ejpam-5327	49	59	λnt	λnt	PROPN
ejpam-5327	49	60	bn	bn	NOUN
ejpam-5327	49	61	,	,	PUNCT
ejpam-5327	49	62	(	(	PUNCT
ejpam-5327	49	63	2	2	NUM
ejpam-5327	49	64	)	)	PUNCT
ejpam-5327	49	65	for	for	ADP
ejpam-5327	49	66	each	each	DET
ejpam-5327	49	67	n	n	DET
ejpam-5327	49	68	∈	∈	PROPN
ejpam-5327	49	69	n.	n.	NOUN
ejpam-5327	49	70	he	he	PRON
ejpam-5327	49	71	proved	prove	VERB
ejpam-5327	49	72	that	that	SCONJ
ejpam-5327	49	73	under	under	ADP
ejpam-5327	49	74	the	the	DET
ejpam-5327	49	75	conditions	condition	NOUN
ejpam-5327	49	76	:	:	PUNCT
ejpam-5327	49	77	(	(	PUNCT
ejpam-5327	49	78	i	i	NOUN
ejpam-5327	49	79	)	)	PUNCT
ejpam-5327	49	80	αn	αn	NOUN
ejpam-5327	49	81	∈	∈	PROPN
ejpam-5327	50	1	[	[	X
ejpam-5327	50	2	0	0	NUM
ejpam-5327	50	3	,	,	PUNCT
ejpam-5327	50	4	α	α	NOUN
ejpam-5327	50	5	]	]	X
ejpam-5327	50	6	for	for	ADP
ejpam-5327	50	7	each	each	DET
ejpam-5327	50	8	n	n	PRON
ejpam-5327	50	9	≥	≥	NOUN
ejpam-5327	50	10	1	1	NUM
ejpam-5327	50	11	,	,	PUNCT
ejpam-5327	50	12	where	where	SCONJ
ejpam-5327	50	13	α	α	PRON
ejpam-5327	50	14	∈	∈	PROPN
ejpam-5327	50	15	[	[	X
ejpam-5327	50	16	0	0	NUM
ejpam-5327	50	17	,	,	PUNCT
ejpam-5327	50	18	1	1	NUM
ejpam-5327	50	19	)	)	PUNCT
ejpam-5327	50	20	;	;	PUNCT
ejpam-5327	50	21	(	(	PUNCT
ejpam-5327	50	22	ii	ii	NOUN
ejpam-5327	50	23	)	)	PUNCT
ejpam-5327	50	24	∑	∑	PROPN
ejpam-5327	51	1	αn∥an	αn∥an	PROPN
ejpam-5327	51	2	−	−	PROPN
ejpam-5327	51	3	an−1∥2	an−1∥2	PROPN
ejpam-5327	51	4	<	<	X
ejpam-5327	52	1	+	+	NOUN
ejpam-5327	52	2	∞	∞	PROPN
ejpam-5327	52	3	(	(	PUNCT
ejpam-5327	52	4	iii	iii	NOUN
ejpam-5327	52	5	)	)	PUNCT
ejpam-5327	52	6	0	0	PUNCT
ejpam-5327	52	7	<	<	X
ejpam-5327	52	8	lim	lim	PROPN
ejpam-5327	52	9	inf	inf	PROPN
ejpam-5327	52	10	n→+∞	n→+∞	VERB
ejpam-5327	52	11	λn	λn	PROPN
ejpam-5327	52	12	≤	≤	ADJ
ejpam-5327	52	13	lim	lim	PROPN
ejpam-5327	52	14	sup	sup	PROPN
ejpam-5327	52	15	n→+∞	n→+∞	VERB
ejpam-5327	52	16	λn	λn	PROPN
ejpam-5327	52	17	<	<	X
ejpam-5327	52	18	1	1	NUM
ejpam-5327	52	19	,	,	PUNCT
ejpam-5327	52	20	{	{	PUNCT
ejpam-5327	52	21	an	an	PRON
ejpam-5327	52	22	}	}	PUNCT
ejpam-5327	52	23	converges	converge	VERB
ejpam-5327	52	24	weakly	weakly	ADJ
ejpam-5327	52	25	to	to	ADP
ejpam-5327	52	26	a	a	DET
ejpam-5327	52	27	fixed	fix	VERB
ejpam-5327	52	28	point	point	NOUN
ejpam-5327	52	29	of	of	ADP
ejpam-5327	52	30	t	t	PROPN
ejpam-5327	52	31	.	.	PUNCT
ejpam-5327	53	1	later	later	ADV
ejpam-5327	53	2	in	in	ADP
ejpam-5327	53	3	1015	1015	NUM
ejpam-5327	53	4	,	,	PUNCT
ejpam-5327	53	5	bot	bot	NOUN
ejpam-5327	53	6	and	and	CCONJ
ejpam-5327	53	7	csetnek	csetnek	VERB
ejpam-5327	53	8	[	[	X
ejpam-5327	53	9	4	4	NUM
ejpam-5327	53	10	]	]	PUNCT
ejpam-5327	53	11	replaced	replace	VERB
ejpam-5327	53	12	conditions	condition	NOUN
ejpam-5327	53	13	(	(	PUNCT
ejpam-5327	53	14	i	i	NOUN
ejpam-5327	53	15	)	)	PUNCT
ejpam-5327	53	16	and	and	CCONJ
ejpam-5327	53	17	(	(	PUNCT
ejpam-5327	53	18	iii	iii	NOUN
ejpam-5327	53	19	)	)	PUNCT
ejpam-5327	53	20	above	above	ADP
ejpam-5327	53	21	with	with	ADP
ejpam-5327	53	22	:	:	PUNCT
ejpam-5327	53	23	(	(	PUNCT
ejpam-5327	53	24	i′	i′	NOUN
ejpam-5327	53	25	)	)	PUNCT
ejpam-5327	53	26	δ	δ	PROPN
ejpam-5327	53	27	>	>	X
ejpam-5327	53	28	α2(1+α)+ασ	α2(1+α)+ασ	PROPN
ejpam-5327	53	29	1−α2	1−α2	NUM
ejpam-5327	53	30	(	(	PUNCT
ejpam-5327	53	31	iii′	iii′	NOUN
ejpam-5327	53	32	)	)	PUNCT
ejpam-5327	53	33	0	0	PUNCT
ejpam-5327	54	1	<	<	X
ejpam-5327	54	2	λ	λ	X
ejpam-5327	54	3	≤	≤	NUM
ejpam-5327	54	4	λn	λn	NOUN
ejpam-5327	54	5	≤	≤	NUM
ejpam-5327	54	6	θ	θ	NOUN
ejpam-5327	54	7	:	:	PUNCT
ejpam-5327	54	8	=	=	SYM
ejpam-5327	54	9	δ−α[α(1+α)+αδ+σ	δ−α[α(1+α)+αδ+σ	PROPN
ejpam-5327	54	10	]	]	X
ejpam-5327	54	11	δ[1+α(1+α)+αδ+σ	δ[1+α(1+α)+αδ+σ	PROPN
ejpam-5327	54	12	]	]	X
ejpam-5327	54	13	we	we	PRON
ejpam-5327	54	14	noted	note	VERB
ejpam-5327	54	15	that	that	SCONJ
ejpam-5327	54	16	condition	condition	NOUN
ejpam-5327	54	17	(	(	PUNCT
ejpam-5327	54	18	ii	ii	NOUN
ejpam-5327	54	19	)	)	PUNCT
ejpam-5327	54	20	was	be	AUX
ejpam-5327	54	21	employed	employ	VERB
ejpam-5327	54	22	implicitly	implicitly	ADV
ejpam-5327	54	23	in	in	ADP
ejpam-5327	54	24	the	the	DET
ejpam-5327	54	25	convergence	convergence	NOUN
ejpam-5327	54	26	results	result	NOUN
ejpam-5327	54	27	but	but	CCONJ
ejpam-5327	54	28	was	be	AUX
ejpam-5327	54	29	not	not	PART
ejpam-5327	54	30	explicitly	explicitly	ADV
ejpam-5327	54	31	listed	list	VERB
ejpam-5327	54	32	as	as	ADP
ejpam-5327	54	33	one	one	NUM
ejpam-5327	54	34	of	of	ADP
ejpam-5327	54	35	the	the	DET
ejpam-5327	54	36	hypotheses	hypothesis	NOUN
ejpam-5327	54	37	in	in	ADP
ejpam-5327	54	38	either	either	CCONJ
ejpam-5327	54	39	the	the	DET
ejpam-5327	54	40	mainge	mainge	NOUN
ejpam-5327	54	41	[	[	X
ejpam-5327	54	42	18	18	NUM
ejpam-5327	54	43	]	]	PUNCT
ejpam-5327	54	44	or	or	CCONJ
ejpam-5327	54	45	the	the	DET
ejpam-5327	54	46	bot	bot	NOUN
ejpam-5327	54	47	and	and	CCONJ
ejpam-5327	54	48	csetnek	csetnek	VERB
ejpam-5327	54	49	[	[	X
ejpam-5327	54	50	4	4	NUM
ejpam-5327	54	51	]	]	PUNCT
ejpam-5327	54	52	.	.	PUNCT
ejpam-5327	55	1	condition	condition	NOUN
ejpam-5327	55	2	(	(	PUNCT
ejpam-5327	55	3	ii	ii	NOUN
ejpam-5327	55	4	)	)	PUNCT
ejpam-5327	55	5	is	be	AUX
ejpam-5327	55	6	simply	simply	ADV
ejpam-5327	55	7	implementable	implementable	ADJ
ejpam-5327	55	8	,	,	PUNCT
ejpam-5327	55	9	according	accord	VERB
ejpam-5327	55	10	to	to	ADP
ejpam-5327	55	11	the	the	DET
ejpam-5327	55	12	authors	author	NOUN
ejpam-5327	55	13	,	,	PUNCT
ejpam-5327	55	14	because	because	SCONJ
ejpam-5327	55	15	an	an	PRON
ejpam-5327	55	16	and	and	CCONJ
ejpam-5327	55	17	an−1	an−1	ADJ
ejpam-5327	55	18	are	be	AUX
ejpam-5327	55	19	known	know	VERB
ejpam-5327	55	20	at	at	ADP
ejpam-5327	55	21	each	each	DET
ejpam-5327	55	22	stage	stage	NOUN
ejpam-5327	55	23	.	.	PUNCT
ejpam-5327	56	1	this	this	PRON
ejpam-5327	56	2	allows	allow	VERB
ejpam-5327	56	3	αn	αn	NOUN
ejpam-5327	56	4	to	to	PART
ejpam-5327	56	5	be	be	AUX
ejpam-5327	56	6	set	set	VERB
ejpam-5327	56	7	so	so	SCONJ
ejpam-5327	56	8	that	that	SCONJ
ejpam-5327	56	9	it	it	PRON
ejpam-5327	56	10	is	be	AUX
ejpam-5327	56	11	dominated	dominate	VERB
ejpam-5327	56	12	by	by	ADP
ejpam-5327	56	13	a	a	DET
ejpam-5327	56	14	1	1	NUM
ejpam-5327	56	15	∥an−an−1∥2	∥an−an−1∥2	PROPN
ejpam-5327	56	16	multiple	multiple	NOUN
ejpam-5327	56	17	of	of	ADP
ejpam-5327	56	18	a	a	DET
ejpam-5327	56	19	summable	summable	ADJ
ejpam-5327	56	20	sequence	sequence	NOUN
ejpam-5327	56	21	.	.	PUNCT
ejpam-5327	57	1	to	to	PART
ejpam-5327	57	2	further	far	ADV
ejpam-5327	57	3	enhance	enhance	VERB
ejpam-5327	57	4	convergence	convergence	NOUN
ejpam-5327	57	5	rates	rate	NOUN
ejpam-5327	57	6	,	,	PUNCT
ejpam-5327	57	7	many	many	ADJ
ejpam-5327	57	8	authors(see	authors(see	VERB
ejpam-5327	57	9	[	[	X
ejpam-5327	57	10	12	12	NUM
ejpam-5327	57	11	,	,	PUNCT
ejpam-5327	57	12	13	13	NUM
ejpam-5327	57	13	,	,	PUNCT
ejpam-5327	57	14	21	21	NUM
ejpam-5327	57	15	]	]	PUNCT
ejpam-5327	57	16	)	)	PUNCT
ejpam-5327	57	17	have	have	AUX
ejpam-5327	57	18	studied	study	VERB
ejpam-5327	57	19	iteration	iteration	NOUN
ejpam-5327	57	20	schemes	scheme	NOUN
ejpam-5327	57	21	with	with	ADP
ejpam-5327	57	22	double	double	ADJ
ejpam-5327	57	23	inertial	inertial	ADJ
ejpam-5327	57	24	terms	term	NOUN
ejpam-5327	57	25	.	.	PUNCT
ejpam-5327	58	1	in	in	ADP
ejpam-5327	58	2	[	[	X
ejpam-5327	58	3	7	7	NUM
ejpam-5327	58	4	]	]	PUNCT
ejpam-5327	58	5	,	,	PUNCT
ejpam-5327	58	6	the	the	DET
ejpam-5327	58	7	authors	author	NOUN
ejpam-5327	58	8	studied	study	VERB
ejpam-5327	58	9	the	the	DET
ejpam-5327	58	10	following	follow	VERB
ejpam-5327	58	11	double	double	ADJ
ejpam-5327	58	12	g.	g.	PROPN
ejpam-5327	58	13	c.	c.	PROPN
ejpam-5327	58	14	ugwunnadi	ugwunnadi	PROPN
ejpam-5327	58	15	et	et	PROPN
ejpam-5327	58	16	al	al	PROPN
ejpam-5327	58	17	.	.	PUNCT
ejpam-5327	58	18	/	/	SYM
ejpam-5327	58	19	eur	eur	PROPN
ejpam-5327	58	20	.	.	PUNCT
ejpam-5327	59	1	j.	j.	PROPN
ejpam-5327	59	2	pure	pure	PROPN
ejpam-5327	59	3	appl	appl	PROPN
ejpam-5327	59	4	.	.	PROPN
ejpam-5327	59	5	math	math	PROPN
ejpam-5327	59	6	,	,	PUNCT
ejpam-5327	59	7	17	17	NUM
ejpam-5327	59	8	(	(	PUNCT
ejpam-5327	59	9	3	3	NUM
ejpam-5327	59	10	)	)	PUNCT
ejpam-5327	59	11	(	(	PUNCT
ejpam-5327	59	12	2024	2024	NUM
ejpam-5327	59	13	)	)	PUNCT
ejpam-5327	59	14	,	,	PUNCT
ejpam-5327	59	15	2246	2246	NUM
ejpam-5327	59	16	-	-	SYM
ejpam-5327	59	17	2263	2263	NUM
ejpam-5327	59	18	2249	2249	NUM
ejpam-5327	59	19	inertial	inertial	ADJ
ejpam-5327	59	20	mann	mann	NOUN
ejpam-5327	59	21	-	-	PUNCT
ejpam-5327	59	22	type	type	NOUN
ejpam-5327	59	23	method	method	NOUN
ejpam-5327	59	24	and	and	CCONJ
ejpam-5327	59	25	established	establish	VERB
ejpam-5327	59	26	weak	weak	ADJ
ejpam-5327	59	27	convergence	convergence	NOUN
ejpam-5327	59	28	of	of	ADP
ejpam-5327	59	29	the	the	DET
ejpam-5327	59	30	process:	process:	PROPN
ejpam-5327	59	31	a0	a0	NOUN
ejpam-5327	59	32	,	,	PUNCT
ejpam-5327	59	33	a1	a1	NOUN
ejpam-5327	59	34	∈	∈	PROPN
ejpam-5327	59	35	h	h	NOUN
ejpam-5327	59	36	,	,	PUNCT
ejpam-5327	59	37	bn	bn	NOUN
ejpam-5327	59	38	=	=	SYM
ejpam-5327	59	39	an	an	DET
ejpam-5327	59	40	+	+	CCONJ
ejpam-5327	59	41	αn(an	αn(an	NOUN
ejpam-5327	59	42	−	−	NOUN
ejpam-5327	59	43	an−1	an−1	ADJ
ejpam-5327	59	44	)	)	PUNCT
ejpam-5327	59	45	,	,	PUNCT
ejpam-5327	59	46	cn	cn	X
ejpam-5327	60	1	=	=	PUNCT
ejpam-5327	60	2	an	an	DET
ejpam-5327	60	3	+	+	CCONJ
ejpam-5327	60	4	βn(an	βn(an	ADJ
ejpam-5327	60	5	−	−	NOUN
ejpam-5327	60	6	an−1	an−1	ADJ
ejpam-5327	60	7	)	)	PUNCT
ejpam-5327	60	8	,	,	PUNCT
ejpam-5327	60	9	an+1	an+1	NOUN
ejpam-5327	60	10	=	=	SYM
ejpam-5327	60	11	(	(	PUNCT
ejpam-5327	60	12	1−	1−	NUM
ejpam-5327	60	13	λn)bn	λn)bn	X
ejpam-5327	60	14	+	+	NUM
ejpam-5327	60	15	λnt	λnt	PROPN
ejpam-5327	60	16	cn	cn	PROPN
ejpam-5327	60	17	,	,	PUNCT
ejpam-5327	60	18	(	(	PUNCT
ejpam-5327	60	19	3	3	X
ejpam-5327	60	20	)	)	PUNCT
ejpam-5327	60	21	for	for	ADP
ejpam-5327	60	22	each	each	DET
ejpam-5327	60	23	n	n	PRON
ejpam-5327	60	24	≥	≥	NOUN
ejpam-5327	60	25	1	1	NUM
ejpam-5327	60	26	,	,	PUNCT
ejpam-5327	60	27	where	where	SCONJ
ejpam-5327	60	28	{	{	PUNCT
ejpam-5327	60	29	αn	αn	NOUN
ejpam-5327	60	30	}	}	PUNCT
ejpam-5327	60	31	,	,	PUNCT
ejpam-5327	60	32	{	{	PUNCT
ejpam-5327	60	33	βn	βn	VERB
ejpam-5327	60	34	}	}	PUNCT
ejpam-5327	60	35	and	and	CCONJ
ejpam-5327	60	36	{	{	PUNCT
ejpam-5327	60	37	λn	λn	AUX
ejpam-5327	60	38	}	}	PUNCT
ejpam-5327	60	39	satisfy	satisfy	VERB
ejpam-5327	60	40	the	the	DET
ejpam-5327	60	41	following	follow	VERB
ejpam-5327	60	42	conditions	condition	NOUN
ejpam-5327	60	43	:	:	PUNCT
ejpam-5327	60	44	(	(	PUNCT
ejpam-5327	60	45	d1	d1	NOUN
ejpam-5327	60	46	)	)	PUNCT
ejpam-5327	60	47	{	{	PUNCT
ejpam-5327	60	48	αn	αn	NOUN
ejpam-5327	60	49	}	}	PUNCT
ejpam-5327	60	50	⊂	⊂	PROPN
ejpam-5327	61	1	[	[	X
ejpam-5327	61	2	0	0	NUM
ejpam-5327	61	3	,	,	PUNCT
ejpam-5327	61	4	α	α	NOUN
ejpam-5327	61	5	]	]	PUNCT
ejpam-5327	61	6	and	and	CCONJ
ejpam-5327	61	7	βn	βn	VERB
ejpam-5327	61	8	⊂	⊂	PROPN
ejpam-5327	62	1	[	[	X
ejpam-5327	62	2	0	0	NUM
ejpam-5327	62	3	,	,	PUNCT
ejpam-5327	62	4	β	β	X
ejpam-5327	62	5	]	]	X
ejpam-5327	62	6	are	be	AUX
ejpam-5327	62	7	nondecreasing	nondecrease	VERB
ejpam-5327	62	8	with	with	ADP
ejpam-5327	62	9	α1	α1	PROPN
ejpam-5327	62	10	=	=	SYM
ejpam-5327	62	11	β1	β1	PROPN
ejpam-5327	62	12	=	=	PUNCT
ejpam-5327	62	13	0	0	PROPN
ejpam-5327	62	14	and	and	CCONJ
ejpam-5327	62	15	α	α	NOUN
ejpam-5327	62	16	,	,	PUNCT
ejpam-5327	62	17	β	β	X
ejpam-5327	62	18	∈	∈	PROPN
ejpam-5327	63	1	[	[	X
ejpam-5327	63	2	0	0	NUM
ejpam-5327	63	3	,	,	PUNCT
ejpam-5327	63	4	1	1	NUM
ejpam-5327	63	5	)	)	PUNCT
ejpam-5327	63	6	;	;	PUNCT
ejpam-5327	63	7	(	(	PUNCT
ejpam-5327	63	8	d2	d2	PROPN
ejpam-5327	63	9	)	)	PUNCT
ejpam-5327	63	10	for	for	ADP
ejpam-5327	63	11	any	any	DET
ejpam-5327	63	12	λ	λ	PROPN
ejpam-5327	63	13	,	,	PUNCT
ejpam-5327	63	14	σ	σ	PROPN
ejpam-5327	63	15	,	,	PUNCT
ejpam-5327	63	16	δ	δ	PROPN
ejpam-5327	63	17	>	>	X
ejpam-5327	63	18	0	0	PROPN
ejpam-5327	63	19	,	,	PUNCT
ejpam-5327	63	20	δ	δ	PROPN
ejpam-5327	63	21	>	>	X
ejpam-5327	63	22	αξ(1+ξ)+ασ	αξ(1+ξ)+ασ	PROPN
ejpam-5327	63	23	1−α2	1−α2	NUM
ejpam-5327	63	24	,	,	PUNCT
ejpam-5327	63	25	0	0	NUM
ejpam-5327	64	1	<	<	X
ejpam-5327	64	2	λ	λ	X
ejpam-5327	64	3	≤	≤	NUM
ejpam-5327	64	4	λn	λn	NOUN
ejpam-5327	64	5	≤	≤	NUM
ejpam-5327	64	6	δ−α[ξ(1+ξ)+αδ+σ	δ−α[ξ(1+ξ)+αδ+σ	NOUN
ejpam-5327	64	7	]	]	X
ejpam-5327	65	1	δ[1+ξ(1+ξ)+αδ+σ	δ[1+ξ(1+ξ)+αδ+σ	NOUN
ejpam-5327	65	2	]	]	X
ejpam-5327	65	3	.	.	PUNCT
ejpam-5327	66	1	in	in	ADP
ejpam-5327	66	2	[	[	X
ejpam-5327	66	3	34	34	NUM
ejpam-5327	66	4	]	]	PUNCT
ejpam-5327	66	5	,	,	PUNCT
ejpam-5327	66	6	yao	yao	PROPN
ejpam-5327	66	7	et	et	PROPN
ejpam-5327	66	8	al	al	PROPN
ejpam-5327	66	9	improved	improve	VERB
ejpam-5327	66	10	the	the	DET
ejpam-5327	66	11	efficiency	efficiency	NOUN
ejpam-5327	66	12	and	and	CCONJ
ejpam-5327	66	13	accelerated	accelerate	VERB
ejpam-5327	66	14	the	the	DET
ejpam-5327	66	15	rate	rate	NOUN
ejpam-5327	66	16	of	of	ADP
ejpam-5327	66	17	convergence	convergence	NOUN
ejpam-5327	66	18	of	of	ADP
ejpam-5327	66	19	methodologies	methodology	NOUN
ejpam-5327	66	20	for	for	ADP
ejpam-5327	66	21	solving	solve	VERB
ejpam-5327	66	22	variational	variational	ADJ
ejpam-5327	66	23	inequality	inequality	NOUN
ejpam-5327	66	24	problems	problem	NOUN
ejpam-5327	66	25	by	by	ADP
ejpam-5327	66	26	incoparating	incoparate	VERB
ejpam-5327	66	27	double	double	ADJ
ejpam-5327	66	28	inertial	inertial	ADJ
ejpam-5327	66	29	phases	phase	NOUN
ejpam-5327	66	30	into	into	ADP
ejpam-5327	66	31	their	their	PRON
ejpam-5327	66	32	methods	method	NOUN
ejpam-5327	66	33	.	.	PUNCT
ejpam-5327	67	1	furthermore	furthermore	ADV
ejpam-5327	67	2	,	,	PUNCT
ejpam-5327	67	3	the	the	DET
ejpam-5327	67	4	authors	author	NOUN
ejpam-5327	67	5	in	in	ADP
ejpam-5327	67	6	[	[	NOUN
ejpam-5327	67	7	23	23	NUM
ejpam-5327	67	8	]	]	PUNCT
ejpam-5327	67	9	,	,	PUNCT
ejpam-5327	67	10	extensively	extensively	ADV
ejpam-5327	67	11	discussed	discuss	VERB
ejpam-5327	67	12	the	the	DET
ejpam-5327	67	13	addition	addition	NOUN
ejpam-5327	67	14	of	of	ADP
ejpam-5327	67	15	inertial	inertial	ADJ
ejpam-5327	67	16	terms	term	NOUN
ejpam-5327	67	17	to	to	PART
ejpam-5327	67	18	speed	speed	VERB
ejpam-5327	67	19	up	up	ADP
ejpam-5327	67	20	convergence	convergence	NOUN
ejpam-5327	67	21	rates	rate	NOUN
ejpam-5327	67	22	of	of	ADP
ejpam-5327	67	23	iteration	iteration	NOUN
ejpam-5327	67	24	schemes	scheme	NOUN
ejpam-5327	67	25	.	.	PUNCT
ejpam-5327	68	1	they	they	PRON
ejpam-5327	68	2	discussed	discuss	VERB
ejpam-5327	68	3	the	the	DET
ejpam-5327	68	4	addition	addition	NOUN
ejpam-5327	68	5	of	of	ADP
ejpam-5327	68	6	one	one	NUM
ejpam-5327	68	7	-	-	PUNCT
ejpam-5327	68	8	step	step	NOUN
ejpam-5327	68	9	inertial	inertial	ADJ
ejpam-5327	68	10	term	term	NOUN
ejpam-5327	68	11	and	and	CCONJ
ejpam-5327	68	12	the	the	DET
ejpam-5327	68	13	addition	addition	NOUN
ejpam-5327	68	14	of	of	ADP
ejpam-5327	68	15	two	two	NUM
ejpam-5327	68	16	-	-	PUNCT
ejpam-5327	68	17	step	step	NOUN
ejpam-5327	68	18	inertial	inertial	ADJ
ejpam-5327	68	19	terms(double	terms(double	NOUN
ejpam-5327	68	20	inertial	inertial	NOUN
ejpam-5327	68	21	)	)	PUNCT
ejpam-5327	68	22	to	to	ADP
ejpam-5327	68	23	the	the	DET
ejpam-5327	68	24	proximal	proximal	ADJ
ejpam-5327	68	25	point	point	NOUN
ejpam-5327	68	26	algorithm	algorithm	NOUN
ejpam-5327	68	27	(	(	PUNCT
ejpam-5327	68	28	ppa	ppa	PROPN
ejpam-5327	68	29	)	)	PUNCT
ejpam-5327	68	30	.	.	PUNCT
ejpam-5327	69	1	they	they	PRON
ejpam-5327	69	2	exhibited	exhibit	VERB
ejpam-5327	69	3	an	an	DET
ejpam-5327	69	4	example	example	NOUN
ejpam-5327	69	5	from	from	ADP
ejpam-5327	69	6	[	[	X
ejpam-5327	69	7	26	26	NUM
ejpam-5327	69	8	]	]	PUNCT
ejpam-5327	69	9	,	,	PUNCT
ejpam-5327	69	10	which	which	PRON
ejpam-5327	69	11	shows	show	VERB
ejpam-5327	69	12	that	that	SCONJ
ejpam-5327	69	13	the	the	DET
ejpam-5327	69	14	two	two	NUM
ejpam-5327	69	15	step	step	NOUN
ejpam-5327	69	16	inertial	inertial	NOUN
ejpam-5327	69	17	douglas	douglas	PROPN
ejpam-5327	69	18	-	-	PUNCT
ejpam-5327	69	19	rachford	rachford	ADJ
ejpam-5327	69	20	splitting	splitting	NOUN
ejpam-5327	69	21	method	method	NOUN
ejpam-5327	69	22	an+1	an+1	NOUN
ejpam-5327	69	23	=	=	SYM
ejpam-5327	69	24	fdr(an	fdr(an	NOUN
ejpam-5327	70	1	+	+	CCONJ
ejpam-5327	70	2	θ(an	θ(an	ADJ
ejpam-5327	70	3	−	−	NOUN
ejpam-5327	70	4	an−1	an−1	ADJ
ejpam-5327	70	5	)	)	PUNCT
ejpam-5327	70	6	+	+	CCONJ
ejpam-5327	70	7	δ(an−1	δ(an−1	ADP
ejpam-5327	70	8	−	−	PROPN
ejpam-5327	70	9	an−2	an−2	PROPN
ejpam-5327	70	10	)	)	PUNCT
ejpam-5327	70	11	)	)	PUNCT
ejpam-5327	70	12	,	,	PUNCT
ejpam-5327	70	13	converges	converge	VERB
ejpam-5327	70	14	faster	fast	ADV
ejpam-5327	70	15	than	than	ADP
ejpam-5327	70	16	the	the	DET
ejpam-5327	70	17	one	one	NUM
ejpam-5327	70	18	-	-	PUNCT
ejpam-5327	70	19	step	step	NOUN
ejpam-5327	70	20	inertial	inertial	NOUN
ejpam-5327	70	21	method	method	NOUN
ejpam-5327	70	22	an+1	an+1	AUX
ejpam-5327	70	23	=	=	SYM
ejpam-5327	70	24	fdr(an	fdr(an	NOUN
ejpam-5327	71	1	+	+	CCONJ
ejpam-5327	71	2	θ(an	θ(an	ADJ
ejpam-5327	71	3	−	−	NOUN
ejpam-5327	71	4	an−1	an−1	ADJ
ejpam-5327	71	5	)	)	PUNCT
ejpam-5327	71	6	)	)	PUNCT
ejpam-5327	71	7	,	,	PUNCT
ejpam-5327	71	8	where	where	SCONJ
ejpam-5327	71	9	fdr	fdr	PROPN
ejpam-5327	71	10	is	be	AUX
ejpam-5327	71	11	the	the	DET
ejpam-5327	71	12	douglas	douglas	PROPN
ejpam-5327	71	13	-	-	PUNCT
ejpam-5327	71	14	rachford	rachford	ADJ
ejpam-5327	71	15	splitting	splitting	NOUN
ejpam-5327	71	16	operator	operator	NOUN
ejpam-5327	71	17	.	.	PUNCT
ejpam-5327	72	1	the	the	DET
ejpam-5327	72	2	authors	author	NOUN
ejpam-5327	72	3	posited	posit	VERB
ejpam-5327	72	4	,	,	PUNCT
ejpam-5327	72	5	resulting	result	VERB
ejpam-5327	72	6	from	from	ADP
ejpam-5327	72	7	the	the	DET
ejpam-5327	72	8	example	example	NOUN
ejpam-5327	72	9	,	,	PUNCT
ejpam-5327	72	10	that	that	SCONJ
ejpam-5327	72	11	the	the	DET
ejpam-5327	72	12	one	one	NUM
ejpam-5327	72	13	step	step	NOUN
ejpam-5327	72	14	inertial	inertial	NOUN
ejpam-5327	72	15	douglas	douglas	PROPN
ejpam-5327	72	16	-	-	PUNCT
ejpam-5327	72	17	rachford	rachford	ADJ
ejpam-5327	72	18	method	method	NOUN
ejpam-5327	72	19	may	may	AUX
ejpam-5327	72	20	fail	fail	VERB
ejpam-5327	72	21	to	to	PART
ejpam-5327	72	22	provide	provide	VERB
ejpam-5327	72	23	acceleration	acceleration	NOUN
ejpam-5327	72	24	whereas	whereas	SCONJ
ejpam-5327	72	25	the	the	DET
ejpam-5327	72	26	two	two	NUM
ejpam-5327	72	27	-	-	PUNCT
ejpam-5327	72	28	step	step	NOUN
ejpam-5327	72	29	(	(	PUNCT
ejpam-5327	72	30	double	double	ADJ
ejpam-5327	72	31	step	step	NOUN
ejpam-5327	72	32	)	)	PUNCT
ejpam-5327	72	33	method	method	NOUN
ejpam-5327	72	34	does	do	VERB
ejpam-5327	72	35	.	.	PUNCT
ejpam-5327	73	1	our	our	PRON
ejpam-5327	73	2	aim	aim	NOUN
ejpam-5327	73	3	in	in	ADP
ejpam-5327	73	4	this	this	DET
ejpam-5327	73	5	paper	paper	NOUN
ejpam-5327	73	6	is	be	AUX
ejpam-5327	73	7	to	to	PART
ejpam-5327	73	8	further	far	ADV
ejpam-5327	73	9	improve	improve	VERB
ejpam-5327	73	10	the	the	DET
ejpam-5327	73	11	control	control	NOUN
ejpam-5327	73	12	parameters	parameter	NOUN
ejpam-5327	73	13	on	on	ADP
ejpam-5327	73	14	double	double	ADJ
ejpam-5327	73	15	inertial	inertial	ADJ
ejpam-5327	73	16	extrapolation	extrapolation	NOUN
ejpam-5327	73	17	krasnosel’skii	krasnosel’skii	NOUN
ejpam-5327	73	18	-	-	PUNCT
ejpam-5327	73	19	mann	mann	NOUN
ejpam-5327	73	20	-	-	PUNCT
ejpam-5327	73	21	type	type	NOUN
ejpam-5327	73	22	method	method	NOUN
ejpam-5327	73	23	.	.	PUNCT
ejpam-5327	74	1	within	within	ADP
ejpam-5327	74	2	a	a	DET
ejpam-5327	74	3	convex	convex	NOUN
ejpam-5327	74	4	subset	subset	NOUN
ejpam-5327	74	5	of	of	ADP
ejpam-5327	74	6	a	a	DET
ejpam-5327	74	7	real	real	ADJ
ejpam-5327	74	8	hilbert	hilbert	NOUN
ejpam-5327	74	9	space	space	NOUN
ejpam-5327	74	10	,	,	PUNCT
ejpam-5327	74	11	we	we	PRON
ejpam-5327	74	12	want	want	VERB
ejpam-5327	74	13	to	to	PART
ejpam-5327	74	14	approximate	approximate	VERB
ejpam-5327	74	15	fixed	fix	VERB
ejpam-5327	74	16	points	point	NOUN
ejpam-5327	74	17	of	of	ADP
ejpam-5327	74	18	nonexpansive	nonexpansive	ADJ
ejpam-5327	74	19	mappings	mapping	NOUN
ejpam-5327	74	20	.	.	PUNCT
ejpam-5327	75	1	we	we	PRON
ejpam-5327	75	2	firmly	firmly	ADV
ejpam-5327	75	3	establish	establish	VERB
ejpam-5327	75	4	our	our	PRON
ejpam-5327	75	5	suggested	suggest	VERB
ejpam-5327	75	6	method	method	NOUN
ejpam-5327	75	7	’s	’s	PART
ejpam-5327	75	8	weak	weak	ADJ
ejpam-5327	75	9	convergence	convergence	NOUN
ejpam-5327	75	10	theorem	theorem	VERB
ejpam-5327	75	11	.	.	PUNCT
ejpam-5327	76	1	we	we	PRON
ejpam-5327	76	2	also	also	ADV
ejpam-5327	76	3	use	use	VERB
ejpam-5327	76	4	our	our	PRON
ejpam-5327	76	5	findings	finding	NOUN
ejpam-5327	76	6	to	to	PART
ejpam-5327	76	7	solve	solve	VERB
ejpam-5327	76	8	realworld	realworld	PROPN
ejpam-5327	76	9	applications	application	NOUN
ejpam-5327	76	10	,	,	PUNCT
ejpam-5327	76	11	such	such	ADJ
ejpam-5327	76	12	as	as	ADP
ejpam-5327	76	13	convex	convex	NOUN
ejpam-5327	76	14	minimization	minimization	NOUN
ejpam-5327	76	15	and	and	CCONJ
ejpam-5327	76	16	zero	zero	NUM
ejpam-5327	76	17	finding	finding	NOUN
ejpam-5327	76	18	for	for	ADP
ejpam-5327	76	19	sums	sum	NOUN
ejpam-5327	76	20	of	of	ADP
ejpam-5327	76	21	monotone	monotone	ADJ
ejpam-5327	76	22	operators	operator	NOUN
ejpam-5327	76	23	.	.	PUNCT
ejpam-5327	77	1	we	we	PRON
ejpam-5327	77	2	conclude	conclude	VERB
ejpam-5327	77	3	with	with	ADP
ejpam-5327	77	4	numerical	numerical	ADJ
ejpam-5327	77	5	calculations	calculation	NOUN
ejpam-5327	77	6	of	of	ADP
ejpam-5327	77	7	our	our	PRON
ejpam-5327	77	8	suggested	suggest	VERB
ejpam-5327	77	9	approach	approach	NOUN
ejpam-5327	77	10	and	and	CCONJ
ejpam-5327	77	11	a	a	DET
ejpam-5327	77	12	comparison	comparison	NOUN
ejpam-5327	77	13	with	with	ADP
ejpam-5327	77	14	the	the	DET
ejpam-5327	77	15	techniques	technique	NOUN
ejpam-5327	77	16	in	in	ADP
ejpam-5327	77	17	[	[	X
ejpam-5327	77	18	7	7	NUM
ejpam-5327	77	19	,	,	PUNCT
ejpam-5327	77	20	18	18	NUM
ejpam-5327	77	21	]	]	PUNCT
ejpam-5327	77	22	.	.	PUNCT
ejpam-5327	78	1	in	in	ADP
ejpam-5327	78	2	comparison	comparison	NOUN
ejpam-5327	78	3	to	to	ADP
ejpam-5327	78	4	the	the	DET
ejpam-5327	78	5	inertial	inertial	ADJ
ejpam-5327	78	6	krasnosel’skiimann	krasnosel’skiimann	ADJ
ejpam-5327	78	7	-	-	PUNCT
ejpam-5327	78	8	type	type	NOUN
ejpam-5327	78	9	approaches	approach	NOUN
ejpam-5327	78	10	in	in	ADP
ejpam-5327	78	11	[	[	X
ejpam-5327	78	12	7	7	NUM
ejpam-5327	78	13	,	,	PUNCT
ejpam-5327	78	14	18	18	NUM
ejpam-5327	78	15	]	]	PUNCT
ejpam-5327	78	16	,	,	PUNCT
ejpam-5327	78	17	our	our	PRON
ejpam-5327	78	18	suggested	suggest	VERB
ejpam-5327	78	19	method	method	NOUN
ejpam-5327	78	20	converges	converge	VERB
ejpam-5327	78	21	more	more	ADV
ejpam-5327	78	22	quickly	quickly	ADV
ejpam-5327	78	23	in	in	ADP
ejpam-5327	78	24	terms	term	NOUN
ejpam-5327	78	25	of	of	ADP
ejpam-5327	78	26	cpu	cpu	NOUN
ejpam-5327	78	27	time	time	NOUN
ejpam-5327	78	28	and	and	CCONJ
ejpam-5327	78	29	iterations	iteration	NOUN
ejpam-5327	78	30	,	,	PUNCT
ejpam-5327	78	31	according	accord	VERB
ejpam-5327	78	32	to	to	ADP
ejpam-5327	78	33	our	our	PRON
ejpam-5327	78	34	preliminary	preliminary	ADJ
ejpam-5327	78	35	computational	computational	ADJ
ejpam-5327	78	36	results	result	NOUN
ejpam-5327	78	37	.	.	PUNCT
ejpam-5327	79	1	this	this	PRON
ejpam-5327	79	2	is	be	AUX
ejpam-5327	79	3	the	the	DET
ejpam-5327	79	4	algorithm	algorithm	NOUN
ejpam-5327	79	5	that	that	PRON
ejpam-5327	79	6	we	we	PRON
ejpam-5327	79	7	propose	propose	VERB
ejpam-5327	79	8	.	.	PUNCT
ejpam-5327	80	1	given	give	VERB
ejpam-5327	80	2	a	a	DET
ejpam-5327	80	3	real	real	ADJ
ejpam-5327	80	4	hilbert	hilbert	NOUN
ejpam-5327	80	5	space	space	NOUN
ejpam-5327	80	6	h	h	NOUN
ejpam-5327	80	7	,	,	PUNCT
ejpam-5327	80	8	let	let	VERB
ejpam-5327	80	9	k	k	PRON
ejpam-5327	80	10	be	be	AUX
ejpam-5327	80	11	a	a	DET
ejpam-5327	80	12	convex	convex	NOUN
ejpam-5327	80	13	subset	subset	NOUN
ejpam-5327	80	14	of	of	ADP
ejpam-5327	80	15	it	it	PRON
ejpam-5327	80	16	.	.	PUNCT
ejpam-5327	81	1	{	{	PUNCT
ejpam-5327	81	2	an	an	X
ejpam-5327	81	3	}	}	PUNCT
ejpam-5327	81	4	is	be	AUX
ejpam-5327	81	5	generated	generate	VERB
ejpam-5327	81	6	by	by	ADP
ejpam-5327	81	7	the	the	DET
ejpam-5327	81	8	rule	rule	NOUN
ejpam-5327	81	9	from	from	ADP
ejpam-5327	81	10	arbitrary	arbitrary	ADJ
ejpam-5327	81	11	a0	a0	NOUN
ejpam-5327	81	12	,	,	PUNCT
ejpam-5327	81	13	a1	a1	PROPN
ejpam-5327	81	14	∈	∈	PROPN
ejpam-5327	81	15	k.	k.	X
ejpam-5327	81	16	a0	a0	PROPN
ejpam-5327	81	17	,	,	PUNCT
ejpam-5327	81	18	a1	a1	NOUN
ejpam-5327	81	19	∈	∈	PROPN
ejpam-5327	81	20	h	h	NOUN
ejpam-5327	81	21	,	,	PUNCT
ejpam-5327	81	22	bn	bn	NOUN
ejpam-5327	81	23	=	=	SYM
ejpam-5327	81	24	an	an	DET
ejpam-5327	81	25	+	+	NOUN
ejpam-5327	81	26	tn(an−1	tn(an−1	NUM
ejpam-5327	81	27	−	−	NOUN
ejpam-5327	81	28	an	an	NOUN
ejpam-5327	81	29	)	)	PUNCT
ejpam-5327	81	30	,	,	PUNCT
ejpam-5327	81	31	cn	cn	X
ejpam-5327	81	32	=	=	PUNCT
ejpam-5327	82	1	an	an	DET
ejpam-5327	82	2	+	+	X
ejpam-5327	82	3	rn(an−1	rn(an−1	ADJ
ejpam-5327	82	4	−	−	PROPN
ejpam-5327	82	5	an	an	NOUN
ejpam-5327	82	6	)	)	PUNCT
ejpam-5327	82	7	,	,	PUNCT
ejpam-5327	82	8	an+1	an+1	NOUN
ejpam-5327	82	9	=	=	SYM
ejpam-5327	82	10	(	(	PUNCT
ejpam-5327	82	11	1−	1−	NUM
ejpam-5327	82	12	αn)bn	αn)bn	NUM
ejpam-5327	82	13	+	+	NUM
ejpam-5327	82	14	αnt	αnt	NOUN
ejpam-5327	82	15	cn	cn	PROPN
ejpam-5327	82	16	,	,	PUNCT
ejpam-5327	82	17	n	n	PRON
ejpam-5327	82	18	≥	≥	NOUN
ejpam-5327	82	19	1	1	NUM
ejpam-5327	82	20	,	,	PUNCT
ejpam-5327	82	21	(	(	PUNCT
ejpam-5327	82	22	4	4	X
ejpam-5327	82	23	)	)	PUNCT
ejpam-5327	82	24	g.	g.	PROPN
ejpam-5327	82	25	c.	c.	PROPN
ejpam-5327	82	26	ugwunnadi	ugwunnadi	PROPN
ejpam-5327	82	27	et	et	PROPN
ejpam-5327	82	28	al	al	PROPN
ejpam-5327	82	29	.	.	PUNCT
ejpam-5327	82	30	/	/	SYM
ejpam-5327	82	31	eur	eur	PROPN
ejpam-5327	82	32	.	.	PUNCT
ejpam-5327	83	1	j.	j.	PROPN
ejpam-5327	83	2	pure	pure	PROPN
ejpam-5327	83	3	appl	appl	PROPN
ejpam-5327	83	4	.	.	PROPN
ejpam-5327	83	5	math	math	PROPN
ejpam-5327	83	6	,	,	PUNCT
ejpam-5327	83	7	17	17	NUM
ejpam-5327	83	8	(	(	PUNCT
ejpam-5327	83	9	3	3	NUM
ejpam-5327	83	10	)	)	PUNCT
ejpam-5327	83	11	(	(	PUNCT
ejpam-5327	83	12	2024	2024	NUM
ejpam-5327	83	13	)	)	PUNCT
ejpam-5327	83	14	,	,	PUNCT
ejpam-5327	83	15	2246	2246	NUM
ejpam-5327	83	16	-	-	SYM
ejpam-5327	83	17	2263	2263	NUM
ejpam-5327	83	18	2250	2250	NUM
ejpam-5327	83	19	where	where	SCONJ
ejpam-5327	83	20	tn	tn	PROPN
ejpam-5327	83	21	,	,	PUNCT
ejpam-5327	83	22	rn	rn	PROPN
ejpam-5327	83	23	,	,	PUNCT
ejpam-5327	83	24	αn	αn	NOUN
ejpam-5327	83	25	∈	∈	PROPN
ejpam-5327	83	26	(	(	PUNCT
ejpam-5327	83	27	0	0	NUM
ejpam-5327	83	28	,	,	PUNCT
ejpam-5327	83	29	1	1	X
ejpam-5327	83	30	)	)	PUNCT
ejpam-5327	83	31	satisfy	satisfy	VERB
ejpam-5327	83	32	certain	certain	ADJ
ejpam-5327	83	33	conditions	condition	NOUN
ejpam-5327	83	34	.	.	PUNCT
ejpam-5327	84	1	we	we	PRON
ejpam-5327	84	2	will	will	AUX
ejpam-5327	84	3	prove	prove	VERB
ejpam-5327	84	4	that	that	SCONJ
ejpam-5327	84	5	our	our	PRON
ejpam-5327	84	6	algorithm	algorithm	NOUN
ejpam-5327	84	7	converges	converge	VERB
ejpam-5327	84	8	weakly	weakly	ADV
ejpam-5327	84	9	to	to	ADP
ejpam-5327	84	10	fixed	fix	VERB
ejpam-5327	84	11	points	point	NOUN
ejpam-5327	84	12	of	of	ADP
ejpam-5327	84	13	nonexpansive	nonexpansive	ADJ
ejpam-5327	84	14	mappings	mapping	NOUN
ejpam-5327	84	15	on	on	ADP
ejpam-5327	84	16	t	t	PROPN
ejpam-5327	84	17	under	under	ADP
ejpam-5327	84	18	mild	mild	ADJ
ejpam-5327	84	19	conditions	condition	NOUN
ejpam-5327	84	20	.	.	PUNCT
ejpam-5327	85	1	2	2	X
ejpam-5327	85	2	.	.	X
ejpam-5327	85	3	preliminaries	preliminary	NOUN
ejpam-5327	85	4	prior	prior	ADV
ejpam-5327	85	5	to	to	ADP
ejpam-5327	85	6	stating	state	VERB
ejpam-5327	85	7	and	and	CCONJ
ejpam-5327	85	8	demonstrating	demonstrate	VERB
ejpam-5327	85	9	our	our	PRON
ejpam-5327	85	10	primary	primary	ADJ
ejpam-5327	85	11	findings	finding	NOUN
ejpam-5327	85	12	,	,	PUNCT
ejpam-5327	85	13	we	we	PRON
ejpam-5327	85	14	provide	provide	VERB
ejpam-5327	85	15	a	a	DET
ejpam-5327	85	16	definition	definition	NOUN
ejpam-5327	85	17	and	and	CCONJ
ejpam-5327	85	18	a	a	DET
ejpam-5327	85	19	few	few	ADJ
ejpam-5327	85	20	lemmas	lemma	NOUN
ejpam-5327	85	21	that	that	PRON
ejpam-5327	85	22	will	will	AUX
ejpam-5327	85	23	be	be	AUX
ejpam-5327	85	24	helpful	helpful	ADJ
ejpam-5327	85	25	in	in	ADP
ejpam-5327	85	26	the	the	DET
ejpam-5327	85	27	follow	follow	NOUN
ejpam-5327	85	28	-	-	PUNCT
ejpam-5327	85	29	up	up	NOUN
ejpam-5327	85	30	:	:	PUNCT
ejpam-5327	85	31	definition	definition	NOUN
ejpam-5327	85	32	1	1	NUM
ejpam-5327	85	33	.	.	PUNCT
ejpam-5327	85	34	consider	consider	VERB
ejpam-5327	85	35	the	the	DET
ejpam-5327	85	36	banach	banach	NOUN
ejpam-5327	85	37	space	space	NOUN
ejpam-5327	85	38	e.	e.	PROPN
ejpam-5327	85	39	when	when	SCONJ
ejpam-5327	85	40	{	{	PUNCT
ejpam-5327	85	41	an	an	PRON
ejpam-5327	85	42	}	}	PUNCT
ejpam-5327	85	43	is	be	AUX
ejpam-5327	85	44	a	a	DET
ejpam-5327	85	45	sequence	sequence	NOUN
ejpam-5327	85	46	in	in	ADP
ejpam-5327	85	47	d(t	d(t	PROPN
ejpam-5327	85	48	)	)	PUNCT
ejpam-5327	85	49	such	such	ADJ
ejpam-5327	85	50	that	that	SCONJ
ejpam-5327	85	51	{	{	PUNCT
ejpam-5327	85	52	an	an	PRON
ejpam-5327	85	53	}	}	PUNCT
ejpam-5327	85	54	converges	converge	VERB
ejpam-5327	85	55	weakly	weakly	ADJ
ejpam-5327	85	56	to	to	ADP
ejpam-5327	85	57	a	a	DET
ejpam-5327	85	58	∈	∈	PROPN
ejpam-5327	85	59	d(t	d(t	PROPN
ejpam-5327	85	60	)	)	PUNCT
ejpam-5327	85	61	and	and	CCONJ
ejpam-5327	85	62	{	{	PUNCT
ejpam-5327	85	63	t	t	PROPN
ejpam-5327	85	64	an	an	PRON
ejpam-5327	85	65	}	}	PUNCT
ejpam-5327	85	66	converges	converge	VERB
ejpam-5327	85	67	strongly	strongly	ADV
ejpam-5327	85	68	to	to	ADP
ejpam-5327	85	69	u	u	NOUN
ejpam-5327	85	70	,	,	PUNCT
ejpam-5327	85	71	then	then	ADV
ejpam-5327	85	72	t	t	VERB
ejpam-5327	85	73	a	a	DET
ejpam-5327	85	74	=	=	PUNCT
ejpam-5327	85	75	u.	u.	NOUN
ejpam-5327	85	76	this	this	DET
ejpam-5327	85	77	mapping	mapping	NOUN
ejpam-5327	85	78	t	t	NOUN
ejpam-5327	85	79	:	:	PUNCT
ejpam-5327	85	80	d(t	d(t	PROPN
ejpam-5327	85	81	)	)	PUNCT
ejpam-5327	86	1	⊆	⊆	NUM
ejpam-5327	86	2	e	e	X
ejpam-5327	86	3	→	→	SYM
ejpam-5327	86	4	e	e	X
ejpam-5327	86	5	is	be	AUX
ejpam-5327	86	6	said	say	VERB
ejpam-5327	86	7	to	to	PART
ejpam-5327	86	8	be	be	AUX
ejpam-5327	86	9	demiclosed	demiclose	VERB
ejpam-5327	86	10	at	at	ADP
ejpam-5327	86	11	a	a	DET
ejpam-5327	86	12	point	point	NOUN
ejpam-5327	86	13	u	u	PROPN
ejpam-5327	86	14	∈	∈	PROPN
ejpam-5327	86	15	d(t	d(t	PROPN
ejpam-5327	86	16	)	)	PUNCT
ejpam-5327	86	17	.	.	PUNCT
ejpam-5327	87	1	(	(	PUNCT
ejpam-5327	87	2	see	see	VERB
ejpam-5327	87	3	for	for	ADP
ejpam-5327	87	4	example	example	NOUN
ejpam-5327	87	5	[	[	X
ejpam-5327	87	6	25	25	NUM
ejpam-5327	87	7	]	]	PUNCT
ejpam-5327	87	8	)	)	PUNCT
ejpam-5327	87	9	.	.	PUNCT
ejpam-5327	88	1	lemma	lemma	PROPN
ejpam-5327	88	2	1	1	NUM
ejpam-5327	88	3	.	.	PUNCT
ejpam-5327	89	1	[	[	X
ejpam-5327	89	2	10	10	NUM
ejpam-5327	89	3	]	]	PUNCT
ejpam-5327	89	4	let	let	VERB
ejpam-5327	89	5	h	h	PRON
ejpam-5327	89	6	be	be	AUX
ejpam-5327	89	7	a	a	DET
ejpam-5327	89	8	real	real	ADJ
ejpam-5327	89	9	hilbert	hilbert	NOUN
ejpam-5327	89	10	space	space	NOUN
ejpam-5327	89	11	and	and	CCONJ
ejpam-5327	89	12	k	k	PROPN
ejpam-5327	89	13	be	be	AUX
ejpam-5327	89	14	a	a	DET
ejpam-5327	89	15	nonempty	nonempty	ADV
ejpam-5327	89	16	closed	close	VERB
ejpam-5327	89	17	convex	convex	NOUN
ejpam-5327	89	18	subset	subset	NOUN
ejpam-5327	89	19	of	of	ADP
ejpam-5327	89	20	h.	h.	PROPN
ejpam-5327	89	21	a	a	DET
ejpam-5327	89	22	nonexpansive	nonexpansive	ADJ
ejpam-5327	89	23	mapping	mapping	NOUN
ejpam-5327	89	24	t	t	NOUN
ejpam-5327	89	25	:	:	PUNCT
ejpam-5327	89	26	k	k	PROPN
ejpam-5327	89	27	→	→	PUNCT
ejpam-5327	89	28	k	k	PROPN
ejpam-5327	89	29	,	,	PUNCT
ejpam-5327	89	30	is	be	AUX
ejpam-5327	89	31	said	say	VERB
ejpam-5327	89	32	to	to	PART
ejpam-5327	89	33	be	be	AUX
ejpam-5327	89	34	demiclosed	demiclose	VERB
ejpam-5327	89	35	at	at	ADP
ejpam-5327	89	36	zero	zero	NUM
ejpam-5327	89	37	if	if	SCONJ
ejpam-5327	89	38	for	for	ADP
ejpam-5327	89	39	any	any	DET
ejpam-5327	89	40	sequence	sequence	NOUN
ejpam-5327	89	41	{	{	PUNCT
ejpam-5327	89	42	an	an	PROPN
ejpam-5327	89	43	}	}	PUNCT
ejpam-5327	89	44	⊂	⊂	PROPN
ejpam-5327	89	45	k	k	NOUN
ejpam-5327	89	46	with	with	ADP
ejpam-5327	89	47	an	an	DET
ejpam-5327	89	48	⇀	⇀	PROPN
ejpam-5327	89	49	a	a	DET
ejpam-5327	89	50	∈	∈	NOUN
ejpam-5327	89	51	k	k	NOUN
ejpam-5327	89	52	and	and	CCONJ
ejpam-5327	89	53	||an	||an	NOUN
ejpam-5327	89	54	−	−	PROPN
ejpam-5327	89	55	t	t	NOUN
ejpam-5327	89	56	an||	an||	VERB
ejpam-5327	89	57	−→	−→	ADV
ejpam-5327	89	58	0	0	NUM
ejpam-5327	89	59	as	as	ADP
ejpam-5327	89	60	n	n	PRON
ejpam-5327	89	61	−→	−→	NOUN
ejpam-5327	89	62	+	+	NOUN
ejpam-5327	89	63	∞	∞	PROPN
ejpam-5327	89	64	,	,	PUNCT
ejpam-5327	89	65	we	we	PRON
ejpam-5327	89	66	have	have	VERB
ejpam-5327	89	67	t	t	PROPN
ejpam-5327	89	68	a	a	DET
ejpam-5327	89	69	=	=	PUNCT
ejpam-5327	89	70	a.	a.	NOUN
ejpam-5327	89	71	lemma	lemma	PROPN
ejpam-5327	90	1	2	2	X
ejpam-5327	90	2	.	.	PUNCT
ejpam-5327	91	1	[	[	X
ejpam-5327	91	2	33	33	NUM
ejpam-5327	91	3	]	]	PUNCT
ejpam-5327	91	4	let	let	VERB
ejpam-5327	91	5	h	h	PRON
ejpam-5327	91	6	be	be	AUX
ejpam-5327	91	7	a	a	DET
ejpam-5327	91	8	real	real	ADJ
ejpam-5327	91	9	hilbert	hilbert	NOUN
ejpam-5327	91	10	space	space	NOUN
ejpam-5327	91	11	.	.	PUNCT
ejpam-5327	92	1	then	then	ADV
ejpam-5327	92	2	for	for	ADP
ejpam-5327	92	3	all	all	DET
ejpam-5327	92	4	a	a	PRON
ejpam-5327	92	5	,	,	PUNCT
ejpam-5327	92	6	b	b	X
ejpam-5327	92	7	∈	∈	PROPN
ejpam-5327	92	8	h	h	NOUN
ejpam-5327	92	9	,	,	PUNCT
ejpam-5327	92	10	and	and	CCONJ
ejpam-5327	92	11	for	for	ADP
ejpam-5327	92	12	any	any	DET
ejpam-5327	92	13	real	real	ADJ
ejpam-5327	92	14	number	number	NOUN
ejpam-5327	92	15	,	,	PUNCT
ejpam-5327	92	16	λ	λ	PROPN
ejpam-5327	92	17	,	,	PUNCT
ejpam-5327	92	18	the	the	DET
ejpam-5327	92	19	following	follow	VERB
ejpam-5327	92	20	well	well	ADV
ejpam-5327	92	21	-	-	PUNCT
ejpam-5327	92	22	known	know	VERB
ejpam-5327	92	23	identity	identity	NOUN
ejpam-5327	92	24	holds	hold	VERB
ejpam-5327	92	25	:	:	PUNCT
ejpam-5327	92	26	||(1−	||(1−	ADP
ejpam-5327	92	27	λ)a+	λ)a+	PROPN
ejpam-5327	92	28	λb||2	λb||2	NOUN
ejpam-5327	92	29	=	=	SYM
ejpam-5327	92	30	(	(	PUNCT
ejpam-5327	92	31	1−	1−	NUM
ejpam-5327	92	32	λ)||a||2	λ)||a||2	PROPN
ejpam-5327	93	1	+	+	CCONJ
ejpam-5327	93	2	λ||b||2	λ||b||2	ADJ
ejpam-5327	93	3	−	−	PROPN
ejpam-5327	93	4	λ(1−	λ(1−	NOUN
ejpam-5327	93	5	λ)||a−	λ)||a−	NOUN
ejpam-5327	93	6	b||2	b||2	PROPN
ejpam-5327	93	7	3	3	NUM
ejpam-5327	93	8	.	.	PUNCT
ejpam-5327	93	9	main	main	ADJ
ejpam-5327	93	10	results	result	NOUN
ejpam-5327	93	11	theorem	theorem	VERB
ejpam-5327	93	12	2	2	X
ejpam-5327	93	13	.	.	PUNCT
ejpam-5327	94	1	let	let	VERB
ejpam-5327	94	2	k	k	PRON
ejpam-5327	94	3	be	be	AUX
ejpam-5327	94	4	a	a	DET
ejpam-5327	94	5	nonempty	nonempty	ADV
ejpam-5327	94	6	closed	close	VERB
ejpam-5327	94	7	convex	convex	NOUN
ejpam-5327	94	8	subset	subset	NOUN
ejpam-5327	94	9	of	of	ADP
ejpam-5327	94	10	a	a	DET
ejpam-5327	94	11	real	real	ADJ
ejpam-5327	94	12	hilbert	hilbert	NOUN
ejpam-5327	94	13	space	space	NOUN
ejpam-5327	94	14	h.	h.	PROPN
ejpam-5327	94	15	consider	consider	VERB
ejpam-5327	94	16	a	a	DET
ejpam-5327	94	17	nonexpansive	nonexpansive	ADJ
ejpam-5327	94	18	mapping	mapping	NOUN
ejpam-5327	94	19	t	t	NOUN
ejpam-5327	94	20	:	:	PUNCT
ejpam-5327	94	21	k	k	PROPN
ejpam-5327	94	22	→	→	PUNCT
ejpam-5327	94	23	k	k	X
ejpam-5327	94	24	with	with	ADP
ejpam-5327	94	25	a	a	DET
ejpam-5327	94	26	nonempty	nonempty	ADJ
ejpam-5327	94	27	fixed	fix	VERB
ejpam-5327	94	28	points	point	NOUN
ejpam-5327	94	29	set	set	NOUN
ejpam-5327	94	30	,	,	PUNCT
ejpam-5327	94	31	f	f	PROPN
ejpam-5327	94	32	(	(	PUNCT
ejpam-5327	94	33	t	t	PROPN
ejpam-5327	94	34	)	)	PUNCT
ejpam-5327	94	35	.	.	PUNCT
ejpam-5327	95	1	the	the	DET
ejpam-5327	95	2	sequence	sequence	NOUN
ejpam-5327	95	3	generated	generate	VERB
ejpam-5327	95	4	by	by	ADP
ejpam-5327	95	5	the	the	DET
ejpam-5327	95	6	(	(	PUNCT
ejpam-5327	95	7	4	4	NUM
ejpam-5327	95	8	)	)	PUNCT
ejpam-5327	95	9	then	then	ADV
ejpam-5327	95	10	converges	converge	VERB
ejpam-5327	95	11	weakly	weakly	ADV
ejpam-5327	95	12	under	under	ADP
ejpam-5327	95	13	the	the	DET
ejpam-5327	95	14	following	following	ADJ
ejpam-5327	95	15	conditions	condition	NOUN
ejpam-5327	95	16	:	:	PUNCT
ejpam-5327	95	17	(	(	PUNCT
ejpam-5327	95	18	a	a	X
ejpam-5327	95	19	)	)	PUNCT
ejpam-5327	95	20	lim	lim	PROPN
ejpam-5327	95	21	inf	inf	PROPN
ejpam-5327	95	22	αn(1−	αn(1−	PROPN
ejpam-5327	95	23	αn	αn	NOUN
ejpam-5327	95	24	)	)	PUNCT
ejpam-5327	95	25	>	>	X
ejpam-5327	95	26	0	0	PUNCT
ejpam-5327	96	1	(	(	PUNCT
ejpam-5327	96	2	b	b	NOUN
ejpam-5327	96	3	)	)	PUNCT
ejpam-5327	96	4	tn	tn	NOUN
ejpam-5327	96	5	≤	≤	NUM
ejpam-5327	96	6	d	d	NOUN
ejpam-5327	96	7	for	for	ADP
ejpam-5327	96	8	some	some	DET
ejpam-5327	96	9	real	real	ADJ
ejpam-5327	96	10	constant	constant	ADJ
ejpam-5327	96	11	d	d	X
ejpam-5327	96	12	∈	∈	PROPN
ejpam-5327	96	13	(	(	PUNCT
ejpam-5327	96	14	0	0	NUM
ejpam-5327	96	15	,	,	PUNCT
ejpam-5327	96	16	1	1	NUM
ejpam-5327	96	17	)	)	PUNCT
ejpam-5327	96	18	,	,	PUNCT
ejpam-5327	96	19	(	(	PUNCT
ejpam-5327	96	20	c	c	X
ejpam-5327	96	21	)	)	PUNCT
ejpam-5327	96	22	rn	rn	PROPN
ejpam-5327	96	23	≤	≤	NOUN
ejpam-5327	96	24	d1	d1	PROPN
ejpam-5327	96	25	for	for	ADP
ejpam-5327	96	26	some	some	DET
ejpam-5327	96	27	real	real	ADJ
ejpam-5327	96	28	constant	constant	ADJ
ejpam-5327	96	29	d1	d1	PROPN
ejpam-5327	96	30	∈	∈	PROPN
ejpam-5327	96	31	(	(	PUNCT
ejpam-5327	96	32	0	0	NUM
ejpam-5327	96	33	,	,	PUNCT
ejpam-5327	96	34	1	1	NUM
ejpam-5327	96	35	)	)	PUNCT
ejpam-5327	96	36	.	.	PUNCT
ejpam-5327	97	1	remark	remark	PROPN
ejpam-5327	97	2	1	1	NUM
ejpam-5327	97	3	.	.	PUNCT
ejpam-5327	98	1	our	our	PRON
ejpam-5327	98	2	algorithm	algorithm	NOUN
ejpam-5327	98	3	uses	use	VERB
ejpam-5327	98	4	double	double	ADJ
ejpam-5327	98	5	inertial	inertial	NOUN
ejpam-5327	98	6	techniques	technique	NOUN
ejpam-5327	98	7	because	because	SCONJ
ejpam-5327	98	8	the	the	DET
ejpam-5327	98	9	combination	combination	NOUN
ejpam-5327	98	10	of	of	ADP
ejpam-5327	98	11	two	two	NUM
ejpam-5327	98	12	inertial	inertial	ADJ
ejpam-5327	98	13	components	component	NOUN
ejpam-5327	98	14	reduces	reduce	VERB
ejpam-5327	98	15	oscillations	oscillation	NOUN
ejpam-5327	98	16	and	and	CCONJ
ejpam-5327	98	17	produces	produce	VERB
ejpam-5327	98	18	smoother	smooth	ADJ
ejpam-5327	98	19	convergence	convergence	NOUN
ejpam-5327	98	20	behavior	behavior	NOUN
ejpam-5327	98	21	.	.	PUNCT
ejpam-5327	99	1	our	our	PRON
ejpam-5327	99	2	method	method	NOUN
ejpam-5327	99	3	is	be	AUX
ejpam-5327	99	4	now	now	ADV
ejpam-5327	99	5	perfect	perfect	ADJ
ejpam-5327	99	6	for	for	ADP
ejpam-5327	99	7	solving	solve	VERB
ejpam-5327	99	8	difficult	difficult	ADJ
ejpam-5327	99	9	monotone	monotone	ADJ
ejpam-5327	99	10	problems	problem	NOUN
ejpam-5327	99	11	with	with	ADP
ejpam-5327	99	12	inclusion	inclusion	NOUN
ejpam-5327	99	13	because	because	SCONJ
ejpam-5327	99	14	it	it	PRON
ejpam-5327	99	15	can	can	AUX
ejpam-5327	99	16	handle	handle	VERB
ejpam-5327	99	17	non	non	ADJ
ejpam-5327	99	18	-	-	ADJ
ejpam-5327	99	19	convex	convex	ADJ
ejpam-5327	99	20	.	.	PUNCT
ejpam-5327	100	1	g.	g.	PROPN
ejpam-5327	100	2	c.	c.	PROPN
ejpam-5327	100	3	ugwunnadi	ugwunnadi	PROPN
ejpam-5327	100	4	et	et	PROPN
ejpam-5327	100	5	al	al	PROPN
ejpam-5327	100	6	.	.	PUNCT
ejpam-5327	100	7	/	/	SYM
ejpam-5327	100	8	eur	eur	PROPN
ejpam-5327	100	9	.	.	PUNCT
ejpam-5327	101	1	j.	j.	PROPN
ejpam-5327	101	2	pure	pure	PROPN
ejpam-5327	101	3	appl	appl	PROPN
ejpam-5327	101	4	.	.	PROPN
ejpam-5327	101	5	math	math	PROPN
ejpam-5327	101	6	,	,	PUNCT
ejpam-5327	101	7	17	17	NUM
ejpam-5327	101	8	(	(	PUNCT
ejpam-5327	101	9	3	3	NUM
ejpam-5327	101	10	)	)	PUNCT
ejpam-5327	101	11	(	(	PUNCT
ejpam-5327	101	12	2024	2024	NUM
ejpam-5327	101	13	)	)	PUNCT
ejpam-5327	101	14	,	,	PUNCT
ejpam-5327	101	15	2246	2246	NUM
ejpam-5327	101	16	-	-	SYM
ejpam-5327	101	17	2263	2263	NUM
ejpam-5327	101	18	2251	2251	NUM
ejpam-5327	101	19	proof	proof	NOUN
ejpam-5327	101	20	.	.	PUNCT
ejpam-5327	102	1	convergence	convergence	NOUN
ejpam-5327	102	2	analysis	analysis	NOUN
ejpam-5327	102	3	of	of	ADP
ejpam-5327	102	4	theorem	theorem	ADJ
ejpam-5327	102	5	2	2	NUM
ejpam-5327	102	6	let	let	VERB
ejpam-5327	102	7	p	p	PROPN
ejpam-5327	102	8	∈	∈	PROPN
ejpam-5327	102	9	f	f	X
ejpam-5327	102	10	(	(	PUNCT
ejpam-5327	102	11	t	t	PROPN
ejpam-5327	102	12	)	)	PUNCT
ejpam-5327	102	13	.	.	PUNCT
ejpam-5327	103	1	using	use	VERB
ejpam-5327	103	2	(	(	PUNCT
ejpam-5327	103	3	4	4	NUM
ejpam-5327	103	4	)	)	PUNCT
ejpam-5327	103	5	and	and	CCONJ
ejpam-5327	103	6	lemma	lemma	PROPN
ejpam-5327	103	7	2	2	NUM
ejpam-5327	103	8	,	,	PUNCT
ejpam-5327	103	9	we	we	PRON
ejpam-5327	103	10	have	have	VERB
ejpam-5327	103	11	||an+1	||an+1	NOUN
ejpam-5327	104	1	−	−	PROPN
ejpam-5327	104	2	p||2	p||2	PROPN
ejpam-5327	104	3	=	=	SYM
ejpam-5327	104	4	||(1−	||(1−	PROPN
ejpam-5327	104	5	αn)bn	αn)bn	NUM
ejpam-5327	104	6	+	+	NUM
ejpam-5327	104	7	αnt	αnt	NOUN
ejpam-5327	104	8	cn	cn	PROPN
ejpam-5327	104	9	−	−	PROPN
ejpam-5327	104	10	p||2	p||2	PROPN
ejpam-5327	104	11	=	=	SYM
ejpam-5327	104	12	(	(	PUNCT
ejpam-5327	104	13	1−	1−	NUM
ejpam-5327	104	14	αn)||bn	αn)||bn	PROPN
ejpam-5327	104	15	−	−	PROPN
ejpam-5327	104	16	p||2	p||2	PROPN
ejpam-5327	104	17	+	+	CCONJ
ejpam-5327	104	18	αn||t	αn||t	PROPN
ejpam-5327	104	19	cn	cn	PROPN
ejpam-5327	105	1	−	−	PROPN
ejpam-5327	105	2	p||2	p||2	PROPN
ejpam-5327	105	3	−αn(1−	−αn(1−	PROPN
ejpam-5327	105	4	αn)||t	αn)||t	VERB
ejpam-5327	105	5	cn	cn	PROPN
ejpam-5327	105	6	−	−	PROPN
ejpam-5327	105	7	bn||2	bn||2	PROPN
ejpam-5327	105	8	≤	≤	PROPN
ejpam-5327	105	9	(	(	PUNCT
ejpam-5327	105	10	1−	1−	NUM
ejpam-5327	105	11	αn)||bn	αn)||bn	NOUN
ejpam-5327	105	12	−	−	PROPN
ejpam-5327	105	13	p||2	p||2	PROPN
ejpam-5327	105	14	+	+	CCONJ
ejpam-5327	105	15	αn||cn	αn||cn	NUM
ejpam-5327	105	16	−	−	PROPN
ejpam-5327	105	17	p||2	p||2	PROPN
ejpam-5327	105	18	−αn(1−	−αn(1−	NOUN
ejpam-5327	105	19	αn)||t	αn)||t	VERB
ejpam-5327	105	20	cn	cn	PROPN
ejpam-5327	105	21	−	−	PROPN
ejpam-5327	105	22	bn||2	bn||2	PROPN
ejpam-5327	105	23	=	=	SYM
ejpam-5327	105	24	(	(	PUNCT
ejpam-5327	105	25	1−	1−	NUM
ejpam-5327	105	26	αn)||(1−	αn)||(1−	NOUN
ejpam-5327	105	27	tn)(an	tn)(an	PROPN
ejpam-5327	105	28	−	−	PROPN
ejpam-5327	106	1	p	p	X
ejpam-5327	106	2	)	)	PUNCT
ejpam-5327	107	1	+	+	CCONJ
ejpam-5327	107	2	tn(an−1	tn(an−1	NUM
ejpam-5327	107	3	−	−	NOUN
ejpam-5327	107	4	p)∥2	p)∥2	NOUN
ejpam-5327	107	5	+	+	PROPN
ejpam-5327	107	6	αn∥(1−	αn∥(1−	NOUN
ejpam-5327	107	7	rn)(an	rn)(an	NOUN
ejpam-5327	107	8	−	−	PROPN
ejpam-5327	107	9	p	p	X
ejpam-5327	107	10	)	)	PUNCT
ejpam-5327	107	11	+	+	CCONJ
ejpam-5327	107	12	rn(an−1	rn(an−1	ADJ
ejpam-5327	107	13	−	−	PROPN
ejpam-5327	107	14	p)∥2	p)∥2	NOUN
ejpam-5327	107	15	−αn(1−	−αn(1−	NOUN
ejpam-5327	107	16	αn)||t	αn)||t	ADJ
ejpam-5327	107	17	cn	cn	PROPN
ejpam-5327	107	18	−	−	PROPN
ejpam-5327	107	19	bn||2	bn||2	PROPN
ejpam-5327	107	20	=	=	SYM
ejpam-5327	107	21	(	(	PUNCT
ejpam-5327	107	22	1−	1−	NUM
ejpam-5327	107	23	αn	αn	NOUN
ejpam-5327	107	24	)	)	PUNCT
ejpam-5327	107	25	[	[	PUNCT
ejpam-5327	107	26	(	(	PUNCT
ejpam-5327	107	27	1−	1−	NUM
ejpam-5327	107	28	tn)∥an	tn)∥an	NUM
ejpam-5327	107	29	−	−	NOUN
ejpam-5327	107	30	p∥2	p∥2	ADV
ejpam-5327	108	1	+	+	CCONJ
ejpam-5327	108	2	tn∥an−1	tn∥an−1	ADJ
ejpam-5327	108	3	−	−	NOUN
ejpam-5327	108	4	p∥2	p∥2	ADP
ejpam-5327	108	5	−tn(1−	−tn(1−	PROPN
ejpam-5327	108	6	tn)∥an	tn)∥an	NUM
ejpam-5327	108	7	−	−	ADP
ejpam-5327	108	8	an−1∥2	an−1∥2	PROPN
ejpam-5327	108	9	]	]	PUNCT
ejpam-5327	109	1	+	+	CCONJ
ejpam-5327	109	2	αn	αn	NOUN
ejpam-5327	109	3	[	[	PUNCT
ejpam-5327	109	4	(	(	PUNCT
ejpam-5327	109	5	1−	1−	NUM
ejpam-5327	109	6	rn)∥an	rn)∥an	ADV
ejpam-5327	109	7	−	−	NOUN
ejpam-5327	109	8	p∥2	p∥2	ADV
ejpam-5327	110	1	+	+	VERB
ejpam-5327	110	2	rn∥an−1	rn∥an−1	ADJ
ejpam-5327	110	3	−	−	NOUN
ejpam-5327	110	4	p∥2	p∥2	ADV
ejpam-5327	110	5	−	−	ADP
ejpam-5327	110	6	rn(1−	rn(1−	PROPN
ejpam-5327	110	7	rn)∥an	rn)∥an	ADV
ejpam-5327	110	8	−	−	PROPN
ejpam-5327	110	9	an−1∥2	an−1∥2	PROPN
ejpam-5327	110	10	]	]	PUNCT
ejpam-5327	110	11	−αn(1−	−αn(1−	PROPN
ejpam-5327	110	12	αn)||t	αn)||t	CCONJ
ejpam-5327	110	13	cn	cn	ADJ
ejpam-5327	110	14	−	−	PROPN
ejpam-5327	110	15	bn||2	bn||2	PROPN
ejpam-5327	110	16	=	=	SYM
ejpam-5327	110	17	(	(	PUNCT
ejpam-5327	110	18	1−	1−	NUM
ejpam-5327	110	19	αn	αn	NOUN
ejpam-5327	110	20	)	)	PUNCT
ejpam-5327	110	21	[	[	PUNCT
ejpam-5327	110	22	∥an	∥an	ADV
ejpam-5327	110	23	−	−	ADV
ejpam-5327	110	24	p∥2	p∥2	ADV
ejpam-5327	110	25	+	+	NUM
ejpam-5327	110	26	tn(∥an−1	tn(∥an−1	PROPN
ejpam-5327	110	27	−	−	PROPN
ejpam-5327	110	28	p∥2	p∥2	ADV
ejpam-5327	110	29	−	−	PROPN
ejpam-5327	110	30	∥an	∥an	PROPN
ejpam-5327	110	31	−	−	NOUN
ejpam-5327	110	32	p∥2	p∥2	ADV
ejpam-5327	110	33	)	)	PUNCT
ejpam-5327	111	1	−tn(1−	−tn(1−	PROPN
ejpam-5327	111	2	tn)∥an	tn)∥an	NUM
ejpam-5327	111	3	−	−	ADP
ejpam-5327	111	4	an−1∥2	an−1∥2	PROPN
ejpam-5327	111	5	]	]	PUNCT
ejpam-5327	112	1	+	+	NUM
ejpam-5327	112	2	αn	αn	NOUN
ejpam-5327	112	3	[	[	PUNCT
ejpam-5327	112	4	∥an	∥an	ADV
ejpam-5327	112	5	−	−	NOUN
ejpam-5327	112	6	p∥2	p∥2	ADV
ejpam-5327	112	7	+	+	CCONJ
ejpam-5327	112	8	rn(∥an−1	rn(∥an−1	PROPN
ejpam-5327	112	9	−	−	PROPN
ejpam-5327	112	10	p∥2	p∥2	ADV
ejpam-5327	112	11	−	−	PROPN
ejpam-5327	113	1	∥an	∥an	PROPN
ejpam-5327	113	2	−	−	PROPN
ejpam-5327	113	3	p∥2	p∥2	ADJ
ejpam-5327	113	4	)	)	PUNCT
ejpam-5327	114	1	−rn(1−	−rn(1−	PROPN
ejpam-5327	115	1	rn)∥an	rn)∥an	ADV
ejpam-5327	115	2	−	−	PROPN
ejpam-5327	116	1	an−1∥2∥2	an−1∥2∥2	PROPN
ejpam-5327	116	2	]	]	PUNCT
ejpam-5327	117	1	−	−	PROPN
ejpam-5327	117	2	αn(1−	αn(1−	PROPN
ejpam-5327	117	3	αn)||t	αn)||t	ADJ
ejpam-5327	117	4	cn	cn	ADJ
ejpam-5327	117	5	−	−	PROPN
ejpam-5327	117	6	bn||2	bn||2	PROPN
ejpam-5327	117	7	.	.	PUNCT
ejpam-5327	118	1	(	(	PUNCT
ejpam-5327	118	2	5	5	X
ejpam-5327	118	3	)	)	PUNCT
ejpam-5327	118	4	we	we	PRON
ejpam-5327	118	5	can	can	AUX
ejpam-5327	118	6	estimate	estimate	VERB
ejpam-5327	118	7	||an−1−p||2−||an−p||2	||an−1−p||2−||an−p||2	PROPN
ejpam-5327	118	8	in	in	ADP
ejpam-5327	118	9	two	two	NUM
ejpam-5327	118	10	ways	way	NOUN
ejpam-5327	118	11	,	,	PUNCT
ejpam-5327	118	12	viz	viz	NUM
ejpam-5327	118	13	:	:	PUNCT
ejpam-5327	118	14	(	(	PUNCT
ejpam-5327	118	15	i	i	NOUN
ejpam-5327	118	16	)	)	PUNCT
ejpam-5327	118	17	||an−1−p||2−||an−p||2	||an−1−p||2−||an−p||2	PROPN
ejpam-5327	118	18	<	<	X
ejpam-5327	118	19	0	0	NUM
ejpam-5327	118	20	or	or	CCONJ
ejpam-5327	118	21	(	(	PUNCT
ejpam-5327	118	22	ii	ii	NOUN
ejpam-5327	118	23	)	)	PUNCT
ejpam-5327	118	24	||an−1−p||2−||an−p||2	||an−1−p||2−||an−p||2	PROPN
ejpam-5327	118	25	≥	≥	NUM
ejpam-5327	118	26	0	0	NUM
ejpam-5327	118	27	.	.	PUNCT
ejpam-5327	119	1	if	if	SCONJ
ejpam-5327	119	2	(	(	PUNCT
ejpam-5327	119	3	i	i	NOUN
ejpam-5327	119	4	)	)	PUNCT
ejpam-5327	119	5	holds	hold	VERB
ejpam-5327	119	6	(	(	PUNCT
ejpam-5327	119	7	i.e	i.e	PRON
ejpam-5327	119	8	||an−1−p||2	||an−1−p||2	ADJ
ejpam-5327	119	9	<	<	X
ejpam-5327	119	10	||an−p||2	||an−p||2	PROPN
ejpam-5327	119	11	)	)	PUNCT
ejpam-5327	119	12	,	,	PUNCT
ejpam-5327	119	13	then	then	ADV
ejpam-5327	119	14	substituting	substitute	VERB
ejpam-5327	119	15	this	this	PRON
ejpam-5327	119	16	in	in	ADP
ejpam-5327	119	17	(	(	PUNCT
ejpam-5327	119	18	5	5	NUM
ejpam-5327	119	19	)	)	PUNCT
ejpam-5327	119	20	,	,	PUNCT
ejpam-5327	119	21	we	we	PRON
ejpam-5327	119	22	get	get	VERB
ejpam-5327	119	23	||an+1	||an+1	NOUN
ejpam-5327	119	24	−	−	PROPN
ejpam-5327	119	25	p||2	p||2	PROPN
ejpam-5327	119	26	<	<	X
ejpam-5327	119	27	||an	||an	NOUN
ejpam-5327	119	28	−	−	PROPN
ejpam-5327	119	29	p||2	p||2	PROPN
ejpam-5327	119	30	.	.	PUNCT
ejpam-5327	120	1	this	this	PRON
ejpam-5327	120	2	is	be	AUX
ejpam-5327	120	3	an	an	DET
ejpam-5327	120	4	absurdity	absurdity	NOUN
ejpam-5327	120	5	.	.	PUNCT
ejpam-5327	121	1	hence	hence	ADV
ejpam-5327	121	2	(	(	PUNCT
ejpam-5327	121	3	ii	ii	NOUN
ejpam-5327	121	4	)	)	PUNCT
ejpam-5327	121	5	holds	hold	VERB
ejpam-5327	121	6	.	.	PUNCT
ejpam-5327	122	1	this	this	PRON
ejpam-5327	122	2	implies	imply	VERB
ejpam-5327	122	3	||an+1	||an+1	PROPN
ejpam-5327	122	4	−	−	PROPN
ejpam-5327	122	5	p||2	p||2	PROPN
ejpam-5327	122	6	≤	≤	NOUN
ejpam-5327	122	7	||an	||an	NOUN
ejpam-5327	122	8	−	−	PROPN
ejpam-5327	122	9	p||2	p||2	PROPN
ejpam-5327	122	10	.	.	PUNCT
ejpam-5327	123	1	therefore	therefore	ADV
ejpam-5327	123	2	{	{	PUNCT
ejpam-5327	123	3	||an	||an	X
ejpam-5327	123	4	−	−	PROPN
ejpam-5327	123	5	p||2	p||2	PROPN
ejpam-5327	123	6	}	}	PUNCT
ejpam-5327	123	7	is	be	AUX
ejpam-5327	123	8	a	a	DET
ejpam-5327	123	9	monotone	monotone	NOUN
ejpam-5327	123	10	decreasing	decrease	VERB
ejpam-5327	123	11	sequence	sequence	NOUN
ejpam-5327	123	12	so	so	SCONJ
ejpam-5327	123	13	that	that	SCONJ
ejpam-5327	123	14	lim	lim	PROPN
ejpam-5327	123	15	||an	||an	NOUN
ejpam-5327	123	16	−	−	PROPN
ejpam-5327	123	17	p||2	p||2	PROPN
ejpam-5327	123	18	exists	exist	VERB
ejpam-5327	123	19	.	.	PUNCT
ejpam-5327	124	1	from	from	ADP
ejpam-5327	124	2	this	this	PRON
ejpam-5327	124	3	,	,	PUNCT
ejpam-5327	124	4	we	we	PRON
ejpam-5327	124	5	have	have	VERB
ejpam-5327	124	6	that	that	DET
ejpam-5327	124	7	||an	||an	NOUN
ejpam-5327	124	8	−	−	NOUN
ejpam-5327	124	9	p||	p||	VERB
ejpam-5327	124	10	and	and	CCONJ
ejpam-5327	124	11	hence	hence	ADV
ejpam-5327	124	12	||an||	||an||	PROPN
ejpam-5327	124	13	are	be	AUX
ejpam-5327	124	14	bounded	bound	VERB
ejpam-5327	124	15	.	.	PUNCT
ejpam-5327	125	1	therefore	therefore	ADV
ejpam-5327	125	2	,	,	PUNCT
ejpam-5327	125	3	{	{	PUNCT
ejpam-5327	125	4	an	an	PRON
ejpam-5327	125	5	}	}	PUNCT
ejpam-5327	125	6	has	have	VERB
ejpam-5327	125	7	a	a	DET
ejpam-5327	125	8	subsequence	subsequence	NOUN
ejpam-5327	125	9	{	{	PUNCT
ejpam-5327	125	10	ank	ank	PROPN
ejpam-5327	125	11	}	}	PUNCT
ejpam-5327	125	12	which	which	PRON
ejpam-5327	125	13	converges	converge	VERB
ejpam-5327	125	14	weakly	weakly	ADJ
ejpam-5327	125	15	to	to	ADP
ejpam-5327	125	16	z	z	PROPN
ejpam-5327	125	17	∈	∈	PROPN
ejpam-5327	125	18	h.	h.	NOUN
ejpam-5327	125	19	since	since	SCONJ
ejpam-5327	125	20	h	h	PROPN
ejpam-5327	125	21	is	be	AUX
ejpam-5327	125	22	an	an	DET
ejpam-5327	125	23	opial	opial	ADJ
ejpam-5327	125	24	space	space	NOUN
ejpam-5327	125	25	,	,	PUNCT
ejpam-5327	125	26	a	a	DET
ejpam-5327	125	27	standard	standard	ADJ
ejpam-5327	125	28	argument	argument	NOUN
ejpam-5327	125	29	(	(	PUNCT
ejpam-5327	125	30	see	see	VERB
ejpam-5327	125	31	eg	eg	NOUN
ejpam-5327	125	32	[	[	X
ejpam-5327	125	33	24	24	NUM
ejpam-5327	125	34	]	]	SYM
ejpam-5327	125	35	)	)	PUNCT
ejpam-5327	125	36	yields	yield	NOUN
ejpam-5327	125	37	that	that	SCONJ
ejpam-5327	125	38	{	{	PUNCT
ejpam-5327	125	39	an	an	PRON
ejpam-5327	125	40	}	}	PUNCT
ejpam-5327	125	41	converges	converge	VERB
ejpam-5327	125	42	weakly	weakly	ADV
ejpam-5327	125	43	to	to	ADP
ejpam-5327	125	44	z.	z.	PROPN
ejpam-5327	125	45	now	now	ADV
ejpam-5327	125	46	,	,	PUNCT
ejpam-5327	125	47	since	since	SCONJ
ejpam-5327	125	48	(	(	PUNCT
ejpam-5327	125	49	ii	ii	NOUN
ejpam-5327	125	50	)	)	PUNCT
ejpam-5327	125	51	holds	hold	VERB
ejpam-5327	125	52	,	,	PUNCT
ejpam-5327	125	53	we	we	PRON
ejpam-5327	125	54	have	have	AUX
ejpam-5327	125	55	from	from	ADP
ejpam-5327	125	56	(	(	PUNCT
ejpam-5327	125	57	5	5	NUM
ejpam-5327	125	58	)	)	PUNCT
ejpam-5327	125	59	that∑	that∑	NOUN
ejpam-5327	125	60	n≥1	n≥1	NOUN
ejpam-5327	125	61	αn(1−	αn(1−	PROPN
ejpam-5327	125	62	αn)||t	αn)||t	VERB
ejpam-5327	125	63	cn	cn	PROPN
ejpam-5327	125	64	−	−	PROPN
ejpam-5327	125	65	bn||2	bn||2	PROPN
ejpam-5327	125	66	≤	≤	ADV
ejpam-5327	125	67	∑	∑	PUNCT
ejpam-5327	125	68	n≥0	n≥0	PROPN
ejpam-5327	125	69	[	[	X
ejpam-5327	125	70	||an	||an	X
ejpam-5327	125	71	−	−	PROPN
ejpam-5327	125	72	p||2	p||2	PROPN
ejpam-5327	125	73	−	−	PROPN
ejpam-5327	125	74	||an+1	||an+1	PROPN
ejpam-5327	126	1	−	−	PROPN
ejpam-5327	126	2	p||2	p||2	PROPN
ejpam-5327	126	3	]	]	X
ejpam-5327	127	1	+	+	CCONJ
ejpam-5327	127	2	∑	∑	PROPN
ejpam-5327	127	3	n≥0	n≥0	PROPN
ejpam-5327	127	4	[	[	PUNCT
ejpam-5327	127	5	||an−1	||an−1	PROPN
ejpam-5327	127	6	−	−	PROPN
ejpam-5327	127	7	p||2	p||2	PROPN
ejpam-5327	127	8	−	−	PROPN
ejpam-5327	127	9	||an	||an	NOUN
ejpam-5327	127	10	−	−	PROPN
ejpam-5327	127	11	p||2	p||2	PROPN
ejpam-5327	127	12	]	]	PUNCT
ejpam-5327	127	13	(	(	PUNCT
ejpam-5327	127	14	6	6	NUM
ejpam-5327	127	15	)	)	PUNCT
ejpam-5327	127	16	−α0(1−	−α0(1−	PROPN
ejpam-5327	127	17	α0)||t	α0)||t	PROPN
ejpam-5327	127	18	c0	c0	PROPN
ejpam-5327	127	19	−	−	PROPN
ejpam-5327	127	20	b0||2	b0||2	NOUN
ejpam-5327	127	21	<	<	X
ejpam-5327	128	1	+	+	PROPN
ejpam-5327	128	2	∞.	∞.	PROPN
ejpam-5327	128	3	(	(	PUNCT
ejpam-5327	128	4	7	7	NUM
ejpam-5327	128	5	)	)	PUNCT
ejpam-5327	128	6	g.	g.	PROPN
ejpam-5327	128	7	c.	c.	PROPN
ejpam-5327	128	8	ugwunnadi	ugwunnadi	PROPN
ejpam-5327	128	9	et	et	PROPN
ejpam-5327	128	10	al	al	PROPN
ejpam-5327	128	11	.	.	PUNCT
ejpam-5327	128	12	/	/	SYM
ejpam-5327	128	13	eur	eur	PROPN
ejpam-5327	128	14	.	.	PUNCT
ejpam-5327	129	1	j.	j.	PROPN
ejpam-5327	129	2	pure	pure	PROPN
ejpam-5327	129	3	appl	appl	PROPN
ejpam-5327	129	4	.	.	PROPN
ejpam-5327	129	5	math	math	PROPN
ejpam-5327	129	6	,	,	PUNCT
ejpam-5327	129	7	17	17	NUM
ejpam-5327	129	8	(	(	PUNCT
ejpam-5327	129	9	3	3	NUM
ejpam-5327	129	10	)	)	PUNCT
ejpam-5327	129	11	(	(	PUNCT
ejpam-5327	129	12	2024	2024	NUM
ejpam-5327	129	13	)	)	PUNCT
ejpam-5327	129	14	,	,	PUNCT
ejpam-5327	129	15	2246	2246	NUM
ejpam-5327	129	16	-	-	SYM
ejpam-5327	129	17	2263	2263	NUM
ejpam-5327	129	18	2252	2252	NUM
ejpam-5327	129	19	this	this	PRON
ejpam-5327	129	20	implies	imply	VERB
ejpam-5327	129	21	from	from	ADP
ejpam-5327	129	22	condition	condition	NOUN
ejpam-5327	129	23	(	(	PUNCT
ejpam-5327	129	24	a	a	X
ejpam-5327	129	25	)	)	PUNCT
ejpam-5327	130	1	that	that	PRON
ejpam-5327	130	2	lim	lim	PROPN
ejpam-5327	130	3	||t	||t	VERB
ejpam-5327	130	4	cn	cn	PROPN
ejpam-5327	130	5	−	−	PROPN
ejpam-5327	130	6	bn||	bn||	X
ejpam-5327	130	7	=	=	SYM
ejpam-5327	130	8	0	0	PUNCT
ejpam-5327	131	1	(	(	PUNCT
ejpam-5327	131	2	8)	8)	NUM
ejpam-5327	131	3	again	again	ADV
ejpam-5327	131	4	,	,	PUNCT
ejpam-5327	131	5	from	from	ADP
ejpam-5327	131	6	(	(	PUNCT
ejpam-5327	131	7	5	5	NUM
ejpam-5327	131	8	)	)	PUNCT
ejpam-5327	131	9	since	since	SCONJ
ejpam-5327	131	10	(	(	PUNCT
ejpam-5327	131	11	ii	ii	NOUN
ejpam-5327	131	12	)	)	PUNCT
ejpam-5327	131	13	holds	hold	VERB
ejpam-5327	131	14	and	and	CCONJ
ejpam-5327	131	15	lim	lim	PROPN
ejpam-5327	131	16	||an	||an	NOUN
ejpam-5327	131	17	−	−	PROPN
ejpam-5327	131	18	p||2	p||2	PROPN
ejpam-5327	131	19	exists	exist	VERB
ejpam-5327	131	20	,	,	PUNCT
ejpam-5327	131	21	we	we	PRON
ejpam-5327	131	22	have	have	VERB
ejpam-5327	131	23	tn(1−	tn(1−	NUM
ejpam-5327	131	24	tn)∥an	tn)∥an	NUM
ejpam-5327	132	1	−	−	ADP
ejpam-5327	133	1	an−1∥2	an−1∥2	PROPN
ejpam-5327	133	2	≤	≤	NOUN
ejpam-5327	134	1	[	[	X
ejpam-5327	134	2	||an	||an	X
ejpam-5327	134	3	−	−	PROPN
ejpam-5327	134	4	p||2	p||2	PROPN
ejpam-5327	134	5	−	−	PROPN
ejpam-5327	134	6	||an+1	||an+1	PROPN
ejpam-5327	134	7	−	−	PROPN
ejpam-5327	134	8	p||2	p||2	PROPN
ejpam-5327	134	9	]	]	X
ejpam-5327	135	1	+	+	PROPN
ejpam-5327	135	2	[	[	X
ejpam-5327	135	3	||an−1	||an−1	PROPN
ejpam-5327	135	4	−	−	PROPN
ejpam-5327	135	5	p||2	p||2	PROPN
ejpam-5327	135	6	−	−	PROPN
ejpam-5327	135	7	||an	||an	NOUN
ejpam-5327	135	8	−	−	PROPN
ejpam-5327	135	9	p||2	p||2	PROPN
ejpam-5327	135	10	]	]	X
ejpam-5327	135	11	→	→	SYM
ejpam-5327	135	12	0	0	NUM
ejpam-5327	135	13	this	this	PRON
ejpam-5327	135	14	implies	imply	VERB
ejpam-5327	135	15	lim	lim	PROPN
ejpam-5327	135	16	tn(1−	tn(1−	PROPN
ejpam-5327	135	17	tn)∥an	tn)∥an	PROPN
ejpam-5327	135	18	−	−	ADP
ejpam-5327	136	1	an−1∥2	an−1∥2	NOUN
ejpam-5327	137	1	=	=	SYM
ejpam-5327	138	1	0	0	PUNCT
ejpam-5327	139	1	(	(	PUNCT
ejpam-5327	139	2	9	9	NUM
ejpam-5327	139	3	)	)	PUNCT
ejpam-5327	139	4	using	use	VERB
ejpam-5327	139	5	(	(	PUNCT
ejpam-5327	139	6	8)	8)	NUM
ejpam-5327	139	7	,	,	PUNCT
ejpam-5327	139	8	condition	condition	NOUN
ejpam-5327	139	9	(	(	PUNCT
ejpam-5327	139	10	b	b	NOUN
ejpam-5327	139	11	)	)	PUNCT
ejpam-5327	139	12	and	and	CCONJ
ejpam-5327	139	13	(	(	PUNCT
ejpam-5327	139	14	9	9	NUM
ejpam-5327	139	15	)	)	PUNCT
ejpam-5327	139	16	,	,	PUNCT
ejpam-5327	139	17	we	we	PRON
ejpam-5327	139	18	have	have	VERB
ejpam-5327	139	19	||bn	||bn	VERB
ejpam-5327	139	20	−	−	PROPN
ejpam-5327	139	21	an||	an||	PUNCT
ejpam-5327	140	1	=	=	PUNCT
ejpam-5327	140	2	tn∥an	tn∥an	PROPN
ejpam-5327	140	3	−	−	PROPN
ejpam-5327	140	4	an−1∥	an−1∥	PROPN
ejpam-5327	140	5	=	=	PUNCT
ejpam-5327	141	1	[	[	X
ejpam-5327	141	2	[	[	PUNCT
ejpam-5327	141	3	tn(1−	tn(1−	PROPN
ejpam-5327	141	4	tn	tn	NOUN
ejpam-5327	141	5	)	)	PUNCT
ejpam-5327	141	6	1−	1−	NUM
ejpam-5327	141	7	tn	tn	PROPN
ejpam-5327	142	1	∥an	∥an	PROPN
ejpam-5327	143	1	−	−	PROPN
ejpam-5327	144	1	an−1∥]2	an−1∥]2	NUM
ejpam-5327	144	2	]	]	SYM
ejpam-5327	144	3	1	1	NUM
ejpam-5327	144	4	2	2	NUM
ejpam-5327	144	5	≤	≤	NOUN
ejpam-5327	145	1	[	[	X
ejpam-5327	145	2	[	[	PUNCT
ejpam-5327	145	3	tn(1−	tn(1−	PROPN
ejpam-5327	145	4	tn	tn	NOUN
ejpam-5327	145	5	)	)	PUNCT
ejpam-5327	145	6	1−	1−	NUM
ejpam-5327	146	1	d	d	NOUN
ejpam-5327	146	2	]	]	X
ejpam-5327	146	3	2∥an	2∥an	NOUN
ejpam-5327	147	1	−	−	PROPN
ejpam-5327	147	2	an−1∥2	an−1∥2	PROPN
ejpam-5327	147	3	]	]	PUNCT
ejpam-5327	147	4	1	1	NUM
ejpam-5327	147	5	2	2	NUM
ejpam-5327	147	6	=	=	SYM
ejpam-5327	147	7	[	[	PUNCT
ejpam-5327	147	8	[	[	X
ejpam-5327	147	9	tn(1−	tn(1−	PROPN
ejpam-5327	147	10	tn	tn	NOUN
ejpam-5327	147	11	)	)	PUNCT
ejpam-5327	147	12	]	]	PUNCT
ejpam-5327	147	13	2	2	NUM
ejpam-5327	148	1	[	[	X
ejpam-5327	148	2	1−	1−	NUM
ejpam-5327	148	3	d]2	d]2	PROPN
ejpam-5327	148	4	∥an	∥an	PROPN
ejpam-5327	148	5	−	−	PROPN
ejpam-5327	148	6	an−1∥2	an−1∥2	PROPN
ejpam-5327	148	7	]	]	PUNCT
ejpam-5327	148	8	1	1	NUM
ejpam-5327	148	9	2	2	NUM
ejpam-5327	148	10	≤	≤	NOUN
ejpam-5327	148	11	[	[	PUNCT
ejpam-5327	148	12	tn(1−	tn(1−	PROPN
ejpam-5327	148	13	tn	tn	NOUN
ejpam-5327	148	14	)	)	PUNCT
ejpam-5327	149	1	[	[	X
ejpam-5327	149	2	1−	1−	NUM
ejpam-5327	149	3	d]2	d]2	PROPN
ejpam-5327	149	4	∥an	∥an	PROPN
ejpam-5327	149	5	−	−	PROPN
ejpam-5327	149	6	an−1∥2	an−1∥2	PROPN
ejpam-5327	149	7	]	]	PUNCT
ejpam-5327	149	8	1	1	NUM
ejpam-5327	149	9	2	2	NUM
ejpam-5327	149	10	→	→	SYM
ejpam-5327	149	11	0	0	NUM
ejpam-5327	149	12	.	.	PUNCT
ejpam-5327	149	13	(	(	PUNCT
ejpam-5327	149	14	10	10	NUM
ejpam-5327	149	15	)	)	PUNCT
ejpam-5327	149	16	again	again	ADV
ejpam-5327	149	17	,	,	PUNCT
ejpam-5327	149	18	from	from	ADP
ejpam-5327	149	19	(	(	PUNCT
ejpam-5327	149	20	5	5	NUM
ejpam-5327	149	21	)	)	PUNCT
ejpam-5327	149	22	since	since	SCONJ
ejpam-5327	149	23	(	(	PUNCT
ejpam-5327	149	24	ii	ii	NOUN
ejpam-5327	149	25	)	)	PUNCT
ejpam-5327	149	26	holds	hold	VERB
ejpam-5327	149	27	and	and	CCONJ
ejpam-5327	149	28	lim	lim	PROPN
ejpam-5327	149	29	||an	||an	NOUN
ejpam-5327	149	30	−	−	PROPN
ejpam-5327	149	31	p||2	p||2	PROPN
ejpam-5327	149	32	exists	exist	VERB
ejpam-5327	149	33	,	,	PUNCT
ejpam-5327	149	34	we	we	PRON
ejpam-5327	149	35	have	have	VERB
ejpam-5327	149	36	rn(1−	rn(1−	PROPN
ejpam-5327	149	37	rn)∥an	rn)∥an	ADV
ejpam-5327	149	38	−	−	PROPN
ejpam-5327	149	39	an−1∥2	an−1∥2	PROPN
ejpam-5327	149	40	≤	≤	NOUN
ejpam-5327	150	1	[	[	X
ejpam-5327	150	2	||an	||an	X
ejpam-5327	150	3	−	−	PROPN
ejpam-5327	150	4	p||2	p||2	PROPN
ejpam-5327	150	5	−	−	PROPN
ejpam-5327	150	6	||an+1	||an+1	PROPN
ejpam-5327	150	7	−	−	PROPN
ejpam-5327	150	8	p||2	p||2	PROPN
ejpam-5327	150	9	]	]	X
ejpam-5327	151	1	+	+	PROPN
ejpam-5327	151	2	[	[	X
ejpam-5327	151	3	||an−1	||an−1	PROPN
ejpam-5327	151	4	−	−	PROPN
ejpam-5327	151	5	p||2	p||2	PROPN
ejpam-5327	151	6	−	−	PROPN
ejpam-5327	151	7	||an	||an	NOUN
ejpam-5327	151	8	−	−	PROPN
ejpam-5327	151	9	p||2	p||2	PROPN
ejpam-5327	151	10	]	]	X
ejpam-5327	151	11	→	→	SYM
ejpam-5327	151	12	0	0	NUM
ejpam-5327	151	13	this	this	PRON
ejpam-5327	151	14	implies	imply	VERB
ejpam-5327	151	15	lim	lim	PROPN
ejpam-5327	151	16	rn(1−	rn(1−	PROPN
ejpam-5327	151	17	rn)∥an	rn)∥an	PROPN
ejpam-5327	151	18	−	−	PROPN
ejpam-5327	151	19	an−1∥2	an−1∥2	PROPN
ejpam-5327	151	20	=	=	SYM
ejpam-5327	151	21	0	0	PUNCT
ejpam-5327	152	1	(	(	PUNCT
ejpam-5327	152	2	11	11	NUM
ejpam-5327	152	3	)	)	PUNCT
ejpam-5327	152	4	using	use	VERB
ejpam-5327	152	5	(	(	PUNCT
ejpam-5327	152	6	8)	8)	NUM
ejpam-5327	152	7	,	,	PUNCT
ejpam-5327	152	8	condition	condition	NOUN
ejpam-5327	152	9	(	(	PUNCT
ejpam-5327	152	10	c	c	NOUN
ejpam-5327	152	11	)	)	PUNCT
ejpam-5327	152	12	and	and	CCONJ
ejpam-5327	152	13	(	(	PUNCT
ejpam-5327	152	14	11	11	NUM
ejpam-5327	152	15	)	)	PUNCT
ejpam-5327	152	16	,	,	PUNCT
ejpam-5327	152	17	we	we	PRON
ejpam-5327	152	18	have	have	VERB
ejpam-5327	152	19	||cn	||cn	NOUN
ejpam-5327	152	20	−	−	PROPN
ejpam-5327	152	21	an||	an||	PUNCT
ejpam-5327	153	1	=	=	PUNCT
ejpam-5327	153	2	rn∥an	rn∥an	PROPN
ejpam-5327	153	3	−	−	PROPN
ejpam-5327	153	4	an−1∥	an−1∥	PROPN
ejpam-5327	154	1	=	=	PUNCT
ejpam-5327	155	1	[	[	X
ejpam-5327	155	2	[	[	PUNCT
ejpam-5327	155	3	rn(1−	rn(1−	PROPN
ejpam-5327	155	4	rn	rn	PROPN
ejpam-5327	155	5	)	)	PUNCT
ejpam-5327	155	6	1−	1−	NUM
ejpam-5327	155	7	rn	rn	PROPN
ejpam-5327	155	8	∥an	∥an	PROPN
ejpam-5327	156	1	−	−	PROPN
ejpam-5327	156	2	an−1∥]2	an−1∥]2	NUM
ejpam-5327	156	3	]	]	SYM
ejpam-5327	156	4	1	1	NUM
ejpam-5327	156	5	2	2	NUM
ejpam-5327	156	6	≤	≤	NOUN
ejpam-5327	157	1	[	[	X
ejpam-5327	157	2	[	[	PUNCT
ejpam-5327	157	3	rn(1−	rn(1−	PROPN
ejpam-5327	157	4	rn	rn	NOUN
ejpam-5327	157	5	)	)	PUNCT
ejpam-5327	157	6	1−	1−	NUM
ejpam-5327	157	7	d1	d1	PROPN
ejpam-5327	157	8	]	]	PUNCT
ejpam-5327	157	9	2∥an	2∥an	NOUN
ejpam-5327	158	1	−	−	ADP
ejpam-5327	158	2	an−1∥2	an−1∥2	PROPN
ejpam-5327	158	3	]	]	PUNCT
ejpam-5327	158	4	1	1	NUM
ejpam-5327	158	5	2	2	NUM
ejpam-5327	158	6	=	=	SYM
ejpam-5327	158	7	[	[	PUNCT
ejpam-5327	158	8	[	[	X
ejpam-5327	158	9	rn(1−	rn(1−	PROPN
ejpam-5327	158	10	rn	rn	NOUN
ejpam-5327	158	11	)	)	PUNCT
ejpam-5327	158	12	]	]	PUNCT
ejpam-5327	158	13	2	2	NUM
ejpam-5327	159	1	[	[	X
ejpam-5327	159	2	1−	1−	NUM
ejpam-5327	159	3	d1]2	d1]2	NOUN
ejpam-5327	159	4	∥an	∥an	PROPN
ejpam-5327	159	5	−	−	PROPN
ejpam-5327	159	6	an−1∥2	an−1∥2	PROPN
ejpam-5327	159	7	]	]	PUNCT
ejpam-5327	159	8	1	1	NUM
ejpam-5327	159	9	2	2	NUM
ejpam-5327	159	10	≤	≤	NOUN
ejpam-5327	159	11	[	[	PUNCT
ejpam-5327	159	12	rn(1−	rn(1−	PROPN
ejpam-5327	159	13	rn	rn	NOUN
ejpam-5327	159	14	)	)	PUNCT
ejpam-5327	160	1	[	[	X
ejpam-5327	160	2	1−	1−	NUM
ejpam-5327	160	3	d1]2	d1]2	NOUN
ejpam-5327	160	4	∥an	∥an	PROPN
ejpam-5327	161	1	−	−	PROPN
ejpam-5327	161	2	an−1∥2	an−1∥2	PROPN
ejpam-5327	161	3	]	]	PUNCT
ejpam-5327	161	4	1	1	NUM
ejpam-5327	161	5	2	2	NUM
ejpam-5327	161	6	→	→	SYM
ejpam-5327	161	7	0	0	NUM
ejpam-5327	161	8	.	.	PUNCT
ejpam-5327	162	1	(	(	PUNCT
ejpam-5327	162	2	12	12	NUM
ejpam-5327	162	3	)	)	PUNCT
ejpam-5327	162	4	using	use	VERB
ejpam-5327	162	5	the	the	DET
ejpam-5327	162	6	nonexpansiveness	nonexpansiveness	NOUN
ejpam-5327	162	7	of	of	ADP
ejpam-5327	162	8	t	t	NOUN
ejpam-5327	162	9	,	,	PUNCT
ejpam-5327	162	10	(	(	PUNCT
ejpam-5327	162	11	9	9	NUM
ejpam-5327	162	12	)	)	PUNCT
ejpam-5327	162	13	,	,	PUNCT
ejpam-5327	162	14	(	(	PUNCT
ejpam-5327	162	15	11	11	NUM
ejpam-5327	162	16	)	)	PUNCT
ejpam-5327	162	17	and	and	CCONJ
ejpam-5327	162	18	(	(	PUNCT
ejpam-5327	162	19	12	12	NUM
ejpam-5327	162	20	)	)	PUNCT
ejpam-5327	162	21	,	,	PUNCT
ejpam-5327	162	22	we	we	PRON
ejpam-5327	162	23	have	have	VERB
ejpam-5327	162	24	||an	||an	NOUN
ejpam-5327	162	25	−	−	PROPN
ejpam-5327	162	26	t	t	NOUN
ejpam-5327	162	27	an||	an||	PUNCT
ejpam-5327	163	1	=	=	PUNCT
ejpam-5327	163	2	||an	||an	X
ejpam-5327	163	3	−	−	PROPN
ejpam-5327	163	4	bn	bn	NOUN
ejpam-5327	164	1	+	+	CCONJ
ejpam-5327	165	1	bn	bn	NUM
ejpam-5327	165	2	−	−	PROPN
ejpam-5327	166	1	t	t	PROPN
ejpam-5327	166	2	cn	cn	PROPN
ejpam-5327	167	1	+	+	PROPN
ejpam-5327	167	2	t	t	PROPN
ejpam-5327	168	1	cn	cn	PROPN
ejpam-5327	168	2	−	−	PROPN
ejpam-5327	169	1	t	t	PROPN
ejpam-5327	169	2	an||	an||	PROPN
ejpam-5327	169	3	g.	g.	PROPN
ejpam-5327	169	4	c.	c.	PROPN
ejpam-5327	169	5	ugwunnadi	ugwunnadi	PROPN
ejpam-5327	169	6	et	et	PROPN
ejpam-5327	169	7	al	al	PROPN
ejpam-5327	169	8	.	.	PUNCT
ejpam-5327	169	9	/	/	SYM
ejpam-5327	169	10	eur	eur	PROPN
ejpam-5327	169	11	.	.	PUNCT
ejpam-5327	170	1	j.	j.	PROPN
ejpam-5327	170	2	pure	pure	PROPN
ejpam-5327	170	3	appl	appl	PROPN
ejpam-5327	170	4	.	.	PROPN
ejpam-5327	170	5	math	math	PROPN
ejpam-5327	170	6	,	,	PUNCT
ejpam-5327	170	7	17	17	NUM
ejpam-5327	170	8	(	(	PUNCT
ejpam-5327	170	9	3	3	NUM
ejpam-5327	170	10	)	)	PUNCT
ejpam-5327	170	11	(	(	PUNCT
ejpam-5327	170	12	2024	2024	NUM
ejpam-5327	170	13	)	)	PUNCT
ejpam-5327	170	14	,	,	PUNCT
ejpam-5327	170	15	2246	2246	NUM
ejpam-5327	170	16	-	-	SYM
ejpam-5327	170	17	2263	2263	NUM
ejpam-5327	170	18	2253	2253	NUM
ejpam-5327	170	19	≤	≤	NUM
ejpam-5327	170	20	||an	||an	NOUN
ejpam-5327	170	21	−	−	PROPN
ejpam-5327	170	22	bn||+	bn||+	PROPN
ejpam-5327	170	23	∥bn	∥bn	NOUN
ejpam-5327	170	24	−	−	PROPN
ejpam-5327	170	25	t	t	NOUN
ejpam-5327	170	26	cn∥+	cn∥+	NOUN
ejpam-5327	171	1	∥t	∥t	PROPN
ejpam-5327	171	2	cn	cn	PROPN
ejpam-5327	171	3	−	−	PROPN
ejpam-5327	171	4	t	t	NOUN
ejpam-5327	171	5	an∥	an∥	VERB
ejpam-5327	171	6	≤	≤	ADJ
ejpam-5327	171	7	||an	||an	NOUN
ejpam-5327	171	8	−	−	PROPN
ejpam-5327	171	9	bn||+	bn||+	PROPN
ejpam-5327	171	10	∥bn	∥bn	NOUN
ejpam-5327	171	11	−	−	PROPN
ejpam-5327	171	12	t	t	NOUN
ejpam-5327	171	13	cn∥+	cn∥+	NOUN
ejpam-5327	171	14	∥cn	∥cn	ADP
ejpam-5327	171	15	−	−	PROPN
ejpam-5327	171	16	an∥	an∥	NOUN
ejpam-5327	171	17	→	→	SYM
ejpam-5327	171	18	0	0	NUM
ejpam-5327	171	19	using	use	VERB
ejpam-5327	171	20	this	this	PRON
ejpam-5327	171	21	and	and	CCONJ
ejpam-5327	171	22	the	the	DET
ejpam-5327	171	23	fact	fact	NOUN
ejpam-5327	171	24	that	that	SCONJ
ejpam-5327	171	25	i−t	i−t	NOUN
ejpam-5327	171	26	is	be	AUX
ejpam-5327	171	27	demiclosed	demiclose	VERB
ejpam-5327	171	28	at	at	ADP
ejpam-5327	171	29	0	0	NUM
ejpam-5327	171	30	in	in	ADP
ejpam-5327	171	31	lemma	lemma	PROPN
ejpam-5327	171	32	1	1	NUM
ejpam-5327	171	33	,	,	PUNCT
ejpam-5327	171	34	we	we	PRON
ejpam-5327	171	35	have	have	VERB
ejpam-5327	171	36	that	that	DET
ejpam-5327	171	37	z	z	PROPN
ejpam-5327	171	38	∈	∈	PROPN
ejpam-5327	171	39	f	f	X
ejpam-5327	171	40	(	(	PUNCT
ejpam-5327	171	41	t	t	PROPN
ejpam-5327	171	42	)	)	PUNCT
ejpam-5327	171	43	.	.	PUNCT
ejpam-5327	172	1	setting	set	VERB
ejpam-5327	172	2	z	z	NOUN
ejpam-5327	172	3	=	=	PUNCT
ejpam-5327	172	4	p	p	NOUN
ejpam-5327	172	5	above	above	ADV
ejpam-5327	172	6	,	,	PUNCT
ejpam-5327	172	7	our	our	PRON
ejpam-5327	172	8	proof	proof	NOUN
ejpam-5327	172	9	is	be	AUX
ejpam-5327	172	10	complete	complete	ADJ
ejpam-5327	172	11	.	.	PUNCT
ejpam-5327	173	1	theorem	theorem	NOUN
ejpam-5327	173	2	3	3	X
ejpam-5327	173	3	.	.	PUNCT
ejpam-5327	174	1	let	let	VERB
ejpam-5327	174	2	k	k	PRON
ejpam-5327	174	3	be	be	AUX
ejpam-5327	174	4	a	a	DET
ejpam-5327	174	5	nonempty	nonempty	ADV
ejpam-5327	174	6	closed	close	VERB
ejpam-5327	174	7	convex	convex	NOUN
ejpam-5327	174	8	subset	subset	NOUN
ejpam-5327	174	9	of	of	ADP
ejpam-5327	174	10	a	a	DET
ejpam-5327	174	11	real	real	ADJ
ejpam-5327	174	12	hilbert	hilbert	NOUN
ejpam-5327	174	13	space	space	NOUN
ejpam-5327	174	14	h	h	NOUN
ejpam-5327	174	15	and	and	CCONJ
ejpam-5327	174	16	t	t	PROPN
ejpam-5327	174	17	:	:	PUNCT
ejpam-5327	175	1	k	k	X
ejpam-5327	175	2	→	→	PUNCT
ejpam-5327	175	3	k	k	X
ejpam-5327	175	4	be	be	AUX
ejpam-5327	175	5	a	a	DET
ejpam-5327	175	6	nonexpansive	nonexpansive	ADJ
ejpam-5327	175	7	mapping	mapping	NOUN
ejpam-5327	175	8	with	with	ADP
ejpam-5327	175	9	a	a	DET
ejpam-5327	175	10	nonempty	nonempty	ADJ
ejpam-5327	175	11	fixed	fix	VERB
ejpam-5327	175	12	points	point	NOUN
ejpam-5327	175	13	set	set	NOUN
ejpam-5327	175	14	,	,	PUNCT
ejpam-5327	175	15	f	f	PROPN
ejpam-5327	175	16	(	(	PUNCT
ejpam-5327	175	17	t	t	PROPN
ejpam-5327	175	18	)	)	PUNCT
ejpam-5327	175	19	.	.	PUNCT
ejpam-5327	176	1	then	then	ADV
ejpam-5327	176	2	,	,	PUNCT
ejpam-5327	176	3	under	under	ADP
ejpam-5327	176	4	following	follow	VERB
ejpam-5327	176	5	assumptions	assumption	NOUN
ejpam-5327	176	6	on	on	ADP
ejpam-5327	176	7	the	the	DET
ejpam-5327	176	8	control	control	NOUN
ejpam-5327	176	9	parameter	parameter	NOUN
ejpam-5327	176	10	,	,	PUNCT
ejpam-5327	176	11	the	the	DET
ejpam-5327	176	12	sequence	sequence	NOUN
ejpam-5327	176	13	{	{	PUNCT
ejpam-5327	176	14	an	an	PRON
ejpam-5327	176	15	}	}	PUNCT
ejpam-5327	176	16	}	}	PUNCT
ejpam-5327	176	17	generated	generate	VERB
ejpam-5327	176	18	by	by	ADP
ejpam-5327	176	19	(	(	PUNCT
ejpam-5327	176	20	4	4	X
ejpam-5327	176	21	)	)	PUNCT
ejpam-5327	176	22	converges	converge	VERB
ejpam-5327	176	23	weakly	weakly	ADJ
ejpam-5327	176	24	to	to	ADP
ejpam-5327	176	25	an	an	DET
ejpam-5327	176	26	element	element	NOUN
ejpam-5327	176	27	of	of	ADP
ejpam-5327	176	28	f	f	PROPN
ejpam-5327	176	29	(	(	PUNCT
ejpam-5327	176	30	t	t	PROPN
ejpam-5327	176	31	)	)	PUNCT
ejpam-5327	176	32	.	.	PUNCT
ejpam-5327	177	1	(	(	PUNCT
ejpam-5327	177	2	a	a	X
ejpam-5327	177	3	)	)	PUNCT
ejpam-5327	177	4	0	0	PUNCT
ejpam-5327	178	1	<	<	X
ejpam-5327	178	2	ϵ1	ϵ1	PROPN
ejpam-5327	178	3	≤	≤	NUM
ejpam-5327	178	4	αn	αn	NOUN
ejpam-5327	178	5	≤	≤	NUM
ejpam-5327	178	6	ϵ2	ϵ2	NOUN
ejpam-5327	178	7	<	<	X
ejpam-5327	178	8	1	1	NUM
ejpam-5327	178	9	.	.	PUNCT
ejpam-5327	178	10	(	(	PUNCT
ejpam-5327	178	11	b	b	X
ejpam-5327	178	12	)	)	PUNCT
ejpam-5327	178	13	tn	tn	NOUN
ejpam-5327	178	14	≤	≤	NUM
ejpam-5327	178	15	d	d	NOUN
ejpam-5327	178	16	for	for	ADP
ejpam-5327	178	17	some	some	DET
ejpam-5327	178	18	real	real	ADJ
ejpam-5327	178	19	constant	constant	ADJ
ejpam-5327	178	20	d	d	X
ejpam-5327	178	21	∈	∈	PROPN
ejpam-5327	178	22	(	(	PUNCT
ejpam-5327	178	23	0	0	NUM
ejpam-5327	178	24	,	,	PUNCT
ejpam-5327	178	25	1	1	NUM
ejpam-5327	178	26	)	)	PUNCT
ejpam-5327	178	27	,	,	PUNCT
ejpam-5327	178	28	(	(	PUNCT
ejpam-5327	178	29	c	c	X
ejpam-5327	178	30	)	)	PUNCT
ejpam-5327	178	31	rn	rn	PROPN
ejpam-5327	178	32	≤	≤	NOUN
ejpam-5327	178	33	d1	d1	PROPN
ejpam-5327	178	34	for	for	ADP
ejpam-5327	178	35	some	some	DET
ejpam-5327	178	36	real	real	ADJ
ejpam-5327	178	37	constant	constant	ADJ
ejpam-5327	178	38	d1	d1	PROPN
ejpam-5327	178	39	∈	∈	PROPN
ejpam-5327	178	40	(	(	PUNCT
ejpam-5327	178	41	0	0	NUM
ejpam-5327	178	42	,	,	PUNCT
ejpam-5327	178	43	1	1	NUM
ejpam-5327	178	44	)	)	PUNCT
ejpam-5327	178	45	.	.	PUNCT
ejpam-5327	179	1	proof	proof	NOUN
ejpam-5327	179	2	.	.	PUNCT
ejpam-5327	180	1	computing	compute	VERB
ejpam-5327	180	2	as	as	ADP
ejpam-5327	180	3	in	in	ADP
ejpam-5327	180	4	the	the	DET
ejpam-5327	180	5	proof	proof	NOUN
ejpam-5327	180	6	of	of	ADP
ejpam-5327	180	7	theorem	theorem	ADJ
ejpam-5327	180	8	2	2	NUM
ejpam-5327	180	9	above	above	ADV
ejpam-5327	180	10	,	,	PUNCT
ejpam-5327	180	11	we	we	PRON
ejpam-5327	180	12	arrive	arrive	VERB
ejpam-5327	180	13	at	at	ADP
ejpam-5327	180	14	(	(	PUNCT
ejpam-5327	180	15	5	5	NUM
ejpam-5327	180	16	)	)	PUNCT
ejpam-5327	180	17	since	since	SCONJ
ejpam-5327	180	18	(	(	PUNCT
ejpam-5327	180	19	ii	ii	NOUN
ejpam-5327	180	20	)	)	PUNCT
ejpam-5327	180	21	holds	hold	NOUN
ejpam-5327	180	22	and	and	CCONJ
ejpam-5327	180	23	∥xn	∥xn	PROPN
ejpam-5327	180	24	−	−	PROPN
ejpam-5327	180	25	p∥	p∥	NOUN
ejpam-5327	180	26	exists	exist	VERB
ejpam-5327	180	27	,	,	PUNCT
ejpam-5327	180	28	we	we	PRON
ejpam-5327	180	29	have	have	VERB
ejpam-5327	180	30	from	from	ADP
ejpam-5327	180	31	condition	condition	NOUN
ejpam-5327	180	32	(	(	PUNCT
ejpam-5327	180	33	a	a	NOUN
ejpam-5327	180	34	)	)	PUNCT
ejpam-5327	180	35	and	and	CCONJ
ejpam-5327	180	36	(	(	PUNCT
ejpam-5327	180	37	5	5	NUM
ejpam-5327	180	38	)	)	PUNCT
ejpam-5327	181	1	that	that	PRON
ejpam-5327	181	2	ϵ1(1−	ϵ1(1−	PROPN
ejpam-5327	182	1	ϵ2)||t	ϵ2)||t	PROPN
ejpam-5327	183	1	cn	cn	PROPN
ejpam-5327	184	1	−	−	PROPN
ejpam-5327	184	2	bn||2	bn||2	PROPN
ejpam-5327	184	3	≤	≤	X
ejpam-5327	184	4	αn(1−	αn(1−	PROPN
ejpam-5327	184	5	αn)||t	αn)||t	ADJ
ejpam-5327	184	6	cn	cn	NOUN
ejpam-5327	184	7	−	−	PROPN
ejpam-5327	184	8	bn||2	bn||2	PROPN
ejpam-5327	184	9	≤	≤	NOUN
ejpam-5327	185	1	[	[	PUNCT
ejpam-5327	185	2	||an	||an	X
ejpam-5327	185	3	−	−	PROPN
ejpam-5327	185	4	p||2	p||2	PROPN
ejpam-5327	185	5	−	−	PROPN
ejpam-5327	185	6	||an+1	||an+1	PROPN
ejpam-5327	185	7	−	−	PROPN
ejpam-5327	185	8	p||2	p||2	PROPN
ejpam-5327	185	9	]	]	X
ejpam-5327	186	1	+	+	PROPN
ejpam-5327	186	2	[	[	X
ejpam-5327	186	3	||an−1	||an−1	PROPN
ejpam-5327	186	4	−	−	PROPN
ejpam-5327	186	5	p||2	p||2	PROPN
ejpam-5327	186	6	−	−	PROPN
ejpam-5327	186	7	||an	||an	NOUN
ejpam-5327	186	8	−	−	PROPN
ejpam-5327	186	9	p||2	p||2	PROPN
ejpam-5327	186	10	]	]	PUNCT
ejpam-5327	186	11	.	.	PUNCT
ejpam-5327	187	1	(	(	PUNCT
ejpam-5327	187	2	13	13	NUM
ejpam-5327	187	3	)	)	PUNCT
ejpam-5327	187	4	this	this	PRON
ejpam-5327	187	5	implies	imply	VERB
ejpam-5327	187	6	lim	lim	PROPN
ejpam-5327	187	7	||t	||t	PROPN
ejpam-5327	187	8	cn	cn	PROPN
ejpam-5327	188	1	−	−	PROPN
ejpam-5327	188	2	bn||	bn||	X
ejpam-5327	188	3	=	=	SYM
ejpam-5327	188	4	0	0	X
ejpam-5327	188	5	.	.	PUNCT
ejpam-5327	188	6	the	the	DET
ejpam-5327	188	7	rest	rest	NOUN
ejpam-5327	188	8	of	of	ADP
ejpam-5327	188	9	the	the	DET
ejpam-5327	188	10	proof	proof	NOUN
ejpam-5327	188	11	now	now	ADV
ejpam-5327	188	12	follows	follow	VERB
ejpam-5327	188	13	as	as	ADP
ejpam-5327	188	14	in	in	ADP
ejpam-5327	188	15	that	that	PRON
ejpam-5327	188	16	of	of	ADP
ejpam-5327	188	17	theorem	theorem	ADJ
ejpam-5327	188	18	2	2	NUM
ejpam-5327	188	19	above	above	ADV
ejpam-5327	188	20	.	.	PUNCT
ejpam-5327	189	1	theorem	theorem	VERB
ejpam-5327	189	2	4	4	NUM
ejpam-5327	189	3	.	.	PUNCT
ejpam-5327	190	1	let	let	VERB
ejpam-5327	190	2	h	h	PRON
ejpam-5327	190	3	be	be	AUX
ejpam-5327	190	4	a	a	DET
ejpam-5327	190	5	real	real	ADJ
ejpam-5327	190	6	hilbert	hilbert	NOUN
ejpam-5327	190	7	space	space	NOUN
ejpam-5327	190	8	and	and	CCONJ
ejpam-5327	190	9	k	k	PROPN
ejpam-5327	190	10	be	be	AUX
ejpam-5327	190	11	a	a	DET
ejpam-5327	190	12	nonempty	nonempty	ADV
ejpam-5327	190	13	closed	close	VERB
ejpam-5327	190	14	and	and	CCONJ
ejpam-5327	190	15	convex	convex	PROPN
ejpam-5327	190	16	subset	subset	NOUN
ejpam-5327	190	17	of	of	ADP
ejpam-5327	190	18	h.	h.	PROPN
ejpam-5327	190	19	let	let	VERB
ejpam-5327	190	20	a	a	PRON
ejpam-5327	190	21	:	:	PUNCT
ejpam-5327	190	22	k	k	PROPN
ejpam-5327	190	23	⊆	⊆	NUM
ejpam-5327	190	24	h	h	NOUN
ejpam-5327	190	25	→	→	SYM
ejpam-5327	190	26	k	k	PROPN
ejpam-5327	190	27	⊆	⊆	NUM
ejpam-5327	190	28	h	h	NOUN
ejpam-5327	190	29	be	be	AUX
ejpam-5327	190	30	a	a	DET
ejpam-5327	190	31	maximally	maximally	ADV
ejpam-5327	190	32	monotone	monotone	ADJ
ejpam-5327	190	33	operator	operator	NOUN
ejpam-5327	190	34	such	such	ADJ
ejpam-5327	190	35	that	that	PRON
ejpam-5327	190	36	zer(a	zer(a	NOUN
ejpam-5327	190	37	)	)	PUNCT
ejpam-5327	190	38	̸=	̸=	PROPN
ejpam-5327	190	39	∅.	∅.	ADV
ejpam-5327	190	40	let	let	VERB
ejpam-5327	190	41	jλ	jλ	ADP
ejpam-5327	190	42	a	a	PRON
ejpam-5327	190	43	:	:	PUNCT
ejpam-5327	190	44	=	=	SYM
ejpam-5327	190	45	(	(	PUNCT
ejpam-5327	190	46	i	i	PRON
ejpam-5327	190	47	+	+	CCONJ
ejpam-5327	190	48	λa)−1	λa)−1	AUX
ejpam-5327	190	49	be	be	AUX
ejpam-5327	190	50	the	the	DET
ejpam-5327	190	51	resolvent	resolvent	NOUN
ejpam-5327	190	52	of	of	ADP
ejpam-5327	190	53	a	a	PRON
ejpam-5327	190	54	,	,	PUNCT
ejpam-5327	190	55	for	for	ADP
ejpam-5327	190	56	some	some	DET
ejpam-5327	190	57	real	real	ADJ
ejpam-5327	190	58	constant	constant	ADJ
ejpam-5327	190	59	λ	λ	X
ejpam-5327	190	60	>	>	X
ejpam-5327	190	61	0	0	NUM
ejpam-5327	190	62	.	.	PUNCT
ejpam-5327	191	1	then	then	ADV
ejpam-5327	191	2	the	the	DET
ejpam-5327	191	3	sequence	sequence	NOUN
ejpam-5327	191	4	{	{	PUNCT
ejpam-5327	191	5	xn	xn	PROPN
ejpam-5327	191	6	}	}	PUNCT
ejpam-5327	191	7	generated	generate	VERB
ejpam-5327	191	8	from	from	ADP
ejpam-5327	191	9	a0	a0	PROPN
ejpam-5327	191	10	,	,	PUNCT
ejpam-5327	191	11	a1	a1	NOUN
ejpam-5327	191	12	∈	∈	PROPN
ejpam-5327	191	13	k	k	PROPN
ejpam-5327	191	14	by	by	NOUN
ejpam-5327	191	15	bn	bn	PROPN
ejpam-5327	191	16	=	=	PUNCT
ejpam-5327	191	17	an	an	PRON
ejpam-5327	191	18	+	+	NOUN
ejpam-5327	191	19	tn(an−1	tn(an−1	NUM
ejpam-5327	191	20	−	−	NOUN
ejpam-5327	191	21	an	an	NOUN
ejpam-5327	191	22	)	)	PUNCT
ejpam-5327	191	23	cn	cn	PROPN
ejpam-5327	191	24	=	=	PUNCT
ejpam-5327	191	25	an	an	PRON
ejpam-5327	191	26	+	+	X
ejpam-5327	191	27	rn(an−1	rn(an−1	ADJ
ejpam-5327	191	28	−	−	PROPN
ejpam-5327	191	29	an	an	PRON
ejpam-5327	191	30	)	)	PUNCT
ejpam-5327	191	31	an+1	an+1	NOUN
ejpam-5327	191	32	=	=	SYM
ejpam-5327	191	33	(	(	PUNCT
ejpam-5327	191	34	1−	1−	NUM
ejpam-5327	191	35	αn)bn	αn)bn	NUM
ejpam-5327	191	36	+	+	NUM
ejpam-5327	191	37	αnj	αnj	PROPN
ejpam-5327	191	38	λ	λ	PROPN
ejpam-5327	191	39	acn	acn	PROPN
ejpam-5327	191	40	,	,	PUNCT
ejpam-5327	191	41	n	n	PRON
ejpam-5327	191	42	≥	≥	NOUN
ejpam-5327	191	43	1	1	NUM
ejpam-5327	191	44	where	where	SCONJ
ejpam-5327	191	45	{	{	PUNCT
ejpam-5327	191	46	αn	αn	NOUN
ejpam-5327	191	47	}	}	PUNCT
ejpam-5327	191	48	,	,	PUNCT
ejpam-5327	191	49	{	{	PUNCT
ejpam-5327	191	50	rn	rn	NOUN
ejpam-5327	191	51	}	}	PUNCT
ejpam-5327	191	52	and	and	CCONJ
ejpam-5327	191	53	{	{	PUNCT
ejpam-5327	191	54	tn	tn	NOUN
ejpam-5327	191	55	}	}	PUNCT
ejpam-5327	191	56	are	be	AUX
ejpam-5327	191	57	real	real	ADJ
ejpam-5327	191	58	sequences	sequence	NOUN
ejpam-5327	191	59	in	in	ADP
ejpam-5327	191	60	(	(	PUNCT
ejpam-5327	191	61	0	0	NUM
ejpam-5327	191	62	,	,	PUNCT
ejpam-5327	191	63	1	1	X
ejpam-5327	191	64	)	)	PUNCT
ejpam-5327	191	65	satisfying	satisfying	NOUN
ejpam-5327	191	66	:	:	PUNCT
ejpam-5327	191	67	(	(	PUNCT
ejpam-5327	191	68	a	a	X
ejpam-5327	191	69	)	)	PUNCT
ejpam-5327	191	70	lim	lim	PROPN
ejpam-5327	191	71	inf	inf	PROPN
ejpam-5327	191	72	αn(1−	αn(1−	PROPN
ejpam-5327	191	73	αn	αn	NOUN
ejpam-5327	191	74	)	)	PUNCT
ejpam-5327	191	75	>	>	X
ejpam-5327	191	76	0	0	PUNCT
ejpam-5327	192	1	(	(	PUNCT
ejpam-5327	192	2	b	b	NOUN
ejpam-5327	192	3	)	)	PUNCT
ejpam-5327	192	4	tn	tn	NOUN
ejpam-5327	192	5	≤	≤	NUM
ejpam-5327	192	6	d	d	NOUN
ejpam-5327	192	7	for	for	ADP
ejpam-5327	192	8	some	some	DET
ejpam-5327	192	9	real	real	ADJ
ejpam-5327	192	10	constant	constant	ADJ
ejpam-5327	192	11	d	d	X
ejpam-5327	192	12	∈	∈	PROPN
ejpam-5327	192	13	(	(	PUNCT
ejpam-5327	192	14	0	0	NUM
ejpam-5327	192	15	,	,	PUNCT
ejpam-5327	192	16	1	1	NUM
ejpam-5327	192	17	)	)	PUNCT
ejpam-5327	192	18	,	,	PUNCT
ejpam-5327	192	19	(	(	PUNCT
ejpam-5327	192	20	c	c	X
ejpam-5327	192	21	)	)	PUNCT
ejpam-5327	192	22	rn	rn	PROPN
ejpam-5327	192	23	≤	≤	NOUN
ejpam-5327	192	24	d1	d1	PROPN
ejpam-5327	192	25	for	for	ADP
ejpam-5327	192	26	some	some	DET
ejpam-5327	192	27	real	real	ADJ
ejpam-5327	192	28	constant	constant	ADJ
ejpam-5327	192	29	d1	d1	PROPN
ejpam-5327	192	30	∈	∈	PROPN
ejpam-5327	192	31	(	(	PUNCT
ejpam-5327	192	32	0	0	NUM
ejpam-5327	192	33	,	,	PUNCT
ejpam-5327	192	34	1	1	NUM
ejpam-5327	192	35	)	)	PUNCT
ejpam-5327	192	36	,	,	PUNCT
ejpam-5327	192	37	converges	converge	VERB
ejpam-5327	192	38	weakly	weakly	ADV
ejpam-5327	192	39	to	to	ADP
ejpam-5327	192	40	an	an	DET
ejpam-5327	192	41	element	element	NOUN
ejpam-5327	192	42	of	of	ADP
ejpam-5327	192	43	f	f	PROPN
ejpam-5327	192	44	(	(	PUNCT
ejpam-5327	192	45	jλ	jλ	ADP
ejpam-5327	192	46	a	a	X
ejpam-5327	192	47	)	)	PUNCT
ejpam-5327	192	48	,	,	PUNCT
ejpam-5327	192	49	which	which	PRON
ejpam-5327	192	50	is	be	AUX
ejpam-5327	192	51	also	also	ADV
ejpam-5327	192	52	an	an	DET
ejpam-5327	192	53	element	element	NOUN
ejpam-5327	192	54	of	of	ADP
ejpam-5327	192	55	zer(a	zer(a	PROPN
ejpam-5327	192	56	)	)	PUNCT
ejpam-5327	192	57	.	.	PUNCT
ejpam-5327	193	1	g.	g.	PROPN
ejpam-5327	193	2	c.	c.	PROPN
ejpam-5327	193	3	ugwunnadi	ugwunnadi	PROPN
ejpam-5327	193	4	et	et	PROPN
ejpam-5327	193	5	al	al	PROPN
ejpam-5327	193	6	.	.	PUNCT
ejpam-5327	193	7	/	/	SYM
ejpam-5327	193	8	eur	eur	PROPN
ejpam-5327	193	9	.	.	PUNCT
ejpam-5327	194	1	j.	j.	PROPN
ejpam-5327	194	2	pure	pure	PROPN
ejpam-5327	194	3	appl	appl	PROPN
ejpam-5327	194	4	.	.	PROPN
ejpam-5327	194	5	math	math	PROPN
ejpam-5327	194	6	,	,	PUNCT
ejpam-5327	194	7	17	17	NUM
ejpam-5327	194	8	(	(	PUNCT
ejpam-5327	194	9	3	3	NUM
ejpam-5327	194	10	)	)	PUNCT
ejpam-5327	194	11	(	(	PUNCT
ejpam-5327	194	12	2024	2024	NUM
ejpam-5327	194	13	)	)	PUNCT
ejpam-5327	194	14	,	,	PUNCT
ejpam-5327	194	15	2246	2246	NUM
ejpam-5327	194	16	-	-	SYM
ejpam-5327	194	17	2263	2263	NUM
ejpam-5327	194	18	2254	2254	NUM
ejpam-5327	194	19	proof	proof	NOUN
ejpam-5327	194	20	.	.	PUNCT
ejpam-5327	195	1	since	since	SCONJ
ejpam-5327	195	2	jλ	jλ	ADP
ejpam-5327	195	3	a	a	PRON
ejpam-5327	195	4	is	be	AUX
ejpam-5327	195	5	nonexpansive	nonexpansive	ADJ
ejpam-5327	195	6	,	,	PUNCT
ejpam-5327	195	7	the	the	DET
ejpam-5327	195	8	proof	proof	NOUN
ejpam-5327	195	9	follows	follow	VERB
ejpam-5327	195	10	like	like	ADP
ejpam-5327	195	11	that	that	PRON
ejpam-5327	195	12	of	of	ADP
ejpam-5327	195	13	theorem	theorem	ADJ
ejpam-5327	195	14	2	2	NUM
ejpam-5327	195	15	above	above	ADV
ejpam-5327	195	16	.	.	PUNCT
ejpam-5327	196	1	theorem	theorem	NOUN
ejpam-5327	196	2	5	5	NUM
ejpam-5327	196	3	.	.	PUNCT
ejpam-5327	197	1	let	let	VERB
ejpam-5327	197	2	h	h	PRON
ejpam-5327	197	3	be	be	AUX
ejpam-5327	197	4	a	a	DET
ejpam-5327	197	5	real	real	ADJ
ejpam-5327	197	6	hilbert	hilbert	NOUN
ejpam-5327	197	7	space	space	NOUN
ejpam-5327	197	8	and	and	CCONJ
ejpam-5327	197	9	c	c	PROPN
ejpam-5327	197	10	be	be	AUX
ejpam-5327	197	11	a	a	DET
ejpam-5327	197	12	nonempty	nonempty	ADV
ejpam-5327	197	13	closed	close	VERB
ejpam-5327	197	14	and	and	CCONJ
ejpam-5327	197	15	convex	convex	PROPN
ejpam-5327	197	16	subset	subset	NOUN
ejpam-5327	197	17	of	of	ADP
ejpam-5327	197	18	h.	h.	PROPN
ejpam-5327	197	19	let	let	VERB
ejpam-5327	197	20	a	a	PRON
ejpam-5327	197	21	:	:	PUNCT
ejpam-5327	197	22	k	k	PROPN
ejpam-5327	197	23	⊆	⊆	NUM
ejpam-5327	197	24	h	h	NOUN
ejpam-5327	197	25	→	→	SYM
ejpam-5327	197	26	c	c	NOUN
ejpam-5327	197	27	⊆	⊆	NUM
ejpam-5327	197	28	h	h	NOUN
ejpam-5327	197	29	be	be	AUX
ejpam-5327	197	30	a	a	DET
ejpam-5327	197	31	maximally	maximally	ADV
ejpam-5327	197	32	monotone	monotone	ADJ
ejpam-5327	197	33	operator	operator	NOUN
ejpam-5327	197	34	such	such	ADJ
ejpam-5327	197	35	that	that	PRON
ejpam-5327	197	36	zer(a	zer(a	NOUN
ejpam-5327	197	37	)	)	PUNCT
ejpam-5327	197	38	̸=	̸=	PROPN
ejpam-5327	197	39	∅.	∅.	ADV
ejpam-5327	197	40	let	let	VERB
ejpam-5327	197	41	jλ	jλ	ADP
ejpam-5327	197	42	a	a	PRON
ejpam-5327	197	43	:	:	PUNCT
ejpam-5327	197	44	=	=	SYM
ejpam-5327	197	45	(	(	PUNCT
ejpam-5327	197	46	i	i	PRON
ejpam-5327	197	47	+	+	CCONJ
ejpam-5327	197	48	λa)−1	λa)−1	AUX
ejpam-5327	197	49	be	be	AUX
ejpam-5327	197	50	the	the	DET
ejpam-5327	197	51	resolvent	resolvent	NOUN
ejpam-5327	197	52	of	of	ADP
ejpam-5327	197	53	a	a	PRON
ejpam-5327	197	54	,	,	PUNCT
ejpam-5327	197	55	for	for	ADP
ejpam-5327	197	56	some	some	DET
ejpam-5327	197	57	real	real	ADJ
ejpam-5327	197	58	constant	constant	ADJ
ejpam-5327	197	59	λ	λ	X
ejpam-5327	197	60	>	>	X
ejpam-5327	197	61	0	0	NUM
ejpam-5327	197	62	.	.	PUNCT
ejpam-5327	198	1	then	then	ADV
ejpam-5327	198	2	the	the	DET
ejpam-5327	198	3	sequence	sequence	NOUN
ejpam-5327	198	4	{	{	PUNCT
ejpam-5327	198	5	an	an	PRON
ejpam-5327	198	6	}	}	PUNCT
ejpam-5327	198	7	generated	generate	VERB
ejpam-5327	198	8	from	from	ADP
ejpam-5327	198	9	a0	a0	NOUN
ejpam-5327	198	10	,	,	PUNCT
ejpam-5327	198	11	a1	a1	NOUN
ejpam-5327	198	12	∈	∈	PROPN
ejpam-5327	198	13	k	k	PROPN
ejpam-5327	198	14	by	by	NOUN
ejpam-5327	198	15	bn	bn	PROPN
ejpam-5327	198	16	=	=	PUNCT
ejpam-5327	198	17	an	an	DET
ejpam-5327	198	18	+	+	NOUN
ejpam-5327	198	19	tn(an−1	tn(an−1	NUM
ejpam-5327	198	20	−	−	NOUN
ejpam-5327	198	21	an	an	NOUN
ejpam-5327	198	22	)	)	PUNCT
ejpam-5327	198	23	cn	cn	PROPN
ejpam-5327	198	24	=	=	PUNCT
ejpam-5327	198	25	an	an	DET
ejpam-5327	198	26	+	+	X
ejpam-5327	198	27	rn(an−1	rn(an−1	ADJ
ejpam-5327	198	28	−	−	PROPN
ejpam-5327	198	29	an	an	PRON
ejpam-5327	198	30	)	)	PUNCT
ejpam-5327	198	31	an+1	an+1	NOUN
ejpam-5327	198	32	=	=	SYM
ejpam-5327	198	33	(	(	PUNCT
ejpam-5327	198	34	1−	1−	NUM
ejpam-5327	198	35	αn)bn	αn)bn	NUM
ejpam-5327	198	36	+	+	NUM
ejpam-5327	198	37	αnj	αnj	PROPN
ejpam-5327	198	38	λ	λ	PROPN
ejpam-5327	198	39	acn	acn	PROPN
ejpam-5327	198	40	,	,	PUNCT
ejpam-5327	198	41	n	n	PRON
ejpam-5327	198	42	≥	≥	NOUN
ejpam-5327	198	43	1	1	NUM
ejpam-5327	198	44	where	where	SCONJ
ejpam-5327	198	45	{	{	PUNCT
ejpam-5327	198	46	αn	αn	NOUN
ejpam-5327	198	47	}	}	PUNCT
ejpam-5327	198	48	,	,	PUNCT
ejpam-5327	198	49	{	{	PUNCT
ejpam-5327	198	50	rn	rn	NOUN
ejpam-5327	198	51	}	}	PUNCT
ejpam-5327	198	52	and	and	CCONJ
ejpam-5327	198	53	{	{	PUNCT
ejpam-5327	198	54	tn	tn	NOUN
ejpam-5327	198	55	}	}	PUNCT
ejpam-5327	198	56	are	be	AUX
ejpam-5327	198	57	real	real	ADJ
ejpam-5327	198	58	sequences	sequence	NOUN
ejpam-5327	198	59	in	in	ADP
ejpam-5327	198	60	(	(	PUNCT
ejpam-5327	198	61	0	0	NUM
ejpam-5327	198	62	,	,	PUNCT
ejpam-5327	198	63	1	1	X
ejpam-5327	198	64	)	)	PUNCT
ejpam-5327	198	65	satisfying	satisfying	NOUN
ejpam-5327	198	66	:	:	PUNCT
ejpam-5327	198	67	(	(	PUNCT
ejpam-5327	198	68	a	a	X
ejpam-5327	198	69	)	)	PUNCT
ejpam-5327	198	70	0	0	PUNCT
ejpam-5327	198	71	<	<	X
ejpam-5327	198	72	σ1	σ1	PROPN
ejpam-5327	198	73	≤	≤	NUM
ejpam-5327	198	74	αn	αn	NOUN
ejpam-5327	198	75	≤	≤	PROPN
ejpam-5327	198	76	σ2	σ2	NOUN
ejpam-5327	198	77	<	<	X
ejpam-5327	198	78	1	1	NUM
ejpam-5327	198	79	for	for	ADP
ejpam-5327	198	80	some	some	DET
ejpam-5327	198	81	real	real	ADJ
ejpam-5327	198	82	constants	constant	NOUN
ejpam-5327	198	83	a	a	DET
ejpam-5327	198	84	,	,	PUNCT
ejpam-5327	198	85	b	b	X
ejpam-5327	198	86	∈	∈	PROPN
ejpam-5327	198	87	(	(	PUNCT
ejpam-5327	198	88	0	0	NUM
ejpam-5327	198	89	,	,	PUNCT
ejpam-5327	198	90	1	1	NUM
ejpam-5327	198	91	)	)	PUNCT
ejpam-5327	198	92	,	,	PUNCT
ejpam-5327	198	93	(	(	PUNCT
ejpam-5327	198	94	b	b	X
ejpam-5327	198	95	)	)	PUNCT
ejpam-5327	198	96	tn	tn	NOUN
ejpam-5327	198	97	≤	≤	NUM
ejpam-5327	198	98	d	d	NOUN
ejpam-5327	198	99	for	for	ADP
ejpam-5327	198	100	some	some	DET
ejpam-5327	198	101	real	real	ADJ
ejpam-5327	198	102	constant	constant	ADJ
ejpam-5327	198	103	d	d	X
ejpam-5327	198	104	∈	∈	PROPN
ejpam-5327	198	105	(	(	PUNCT
ejpam-5327	198	106	0	0	NUM
ejpam-5327	198	107	,	,	PUNCT
ejpam-5327	198	108	1	1	NUM
ejpam-5327	198	109	)	)	PUNCT
ejpam-5327	198	110	,	,	PUNCT
ejpam-5327	198	111	(	(	PUNCT
ejpam-5327	198	112	c	c	X
ejpam-5327	198	113	)	)	PUNCT
ejpam-5327	198	114	rn	rn	PROPN
ejpam-5327	198	115	≤	≤	NOUN
ejpam-5327	198	116	d1	d1	PROPN
ejpam-5327	198	117	for	for	ADP
ejpam-5327	198	118	some	some	DET
ejpam-5327	198	119	real	real	ADJ
ejpam-5327	198	120	constant	constant	ADJ
ejpam-5327	198	121	d1	d1	PROPN
ejpam-5327	198	122	∈	∈	PROPN
ejpam-5327	198	123	(	(	PUNCT
ejpam-5327	198	124	0	0	NUM
ejpam-5327	198	125	,	,	PUNCT
ejpam-5327	198	126	1	1	NUM
ejpam-5327	198	127	)	)	PUNCT
ejpam-5327	198	128	,	,	PUNCT
ejpam-5327	198	129	converges	converge	VERB
ejpam-5327	198	130	weakly	weakly	ADV
ejpam-5327	198	131	to	to	ADP
ejpam-5327	198	132	an	an	DET
ejpam-5327	198	133	element	element	NOUN
ejpam-5327	198	134	of	of	ADP
ejpam-5327	198	135	f	f	PROPN
ejpam-5327	198	136	(	(	PUNCT
ejpam-5327	198	137	jλ	jλ	ADP
ejpam-5327	198	138	a	a	X
ejpam-5327	198	139	)	)	PUNCT
ejpam-5327	198	140	,	,	PUNCT
ejpam-5327	198	141	which	which	PRON
ejpam-5327	198	142	is	be	AUX
ejpam-5327	198	143	also	also	ADV
ejpam-5327	198	144	an	an	DET
ejpam-5327	198	145	element	element	NOUN
ejpam-5327	198	146	of	of	ADP
ejpam-5327	198	147	zer(a	zer(a	PROPN
ejpam-5327	198	148	)	)	PUNCT
ejpam-5327	198	149	.	.	PUNCT
ejpam-5327	199	1	proof	proof	NOUN
ejpam-5327	199	2	.	.	PUNCT
ejpam-5327	200	1	since	since	SCONJ
ejpam-5327	200	2	jλ	jλ	ADP
ejpam-5327	200	3	a	a	PRON
ejpam-5327	200	4	is	be	AUX
ejpam-5327	200	5	nonexpansive	nonexpansive	ADJ
ejpam-5327	200	6	,	,	PUNCT
ejpam-5327	200	7	the	the	DET
ejpam-5327	200	8	proof	proof	NOUN
ejpam-5327	200	9	follows	follow	VERB
ejpam-5327	200	10	like	like	ADP
ejpam-5327	200	11	that	that	PRON
ejpam-5327	200	12	of	of	ADP
ejpam-5327	200	13	theorem	theorem	ADJ
ejpam-5327	200	14	3	3	NUM
ejpam-5327	200	15	above	above	ADV
ejpam-5327	200	16	.	.	PUNCT
ejpam-5327	201	1	4	4	X
ejpam-5327	201	2	.	.	X
ejpam-5327	201	3	further	further	ADJ
ejpam-5327	201	4	results	result	NOUN
ejpam-5327	201	5	and	and	CCONJ
ejpam-5327	201	6	applications	application	NOUN
ejpam-5327	201	7	in	in	ADP
ejpam-5327	201	8	the	the	DET
ejpam-5327	201	9	subsequent	subsequent	ADJ
ejpam-5327	201	10	steps	step	NOUN
ejpam-5327	201	11	,	,	PUNCT
ejpam-5327	201	12	we	we	PRON
ejpam-5327	201	13	utilize	utilize	VERB
ejpam-5327	201	14	the	the	DET
ejpam-5327	201	15	convergence	convergence	NOUN
ejpam-5327	201	16	outcomes	outcome	NOUN
ejpam-5327	201	17	we	we	PRON
ejpam-5327	201	18	previously	previously	ADV
ejpam-5327	201	19	examined	examine	VERB
ejpam-5327	201	20	to	to	PART
ejpam-5327	201	21	determine	determine	VERB
ejpam-5327	201	22	the	the	DET
ejpam-5327	201	23	zeros	zero	NOUN
ejpam-5327	201	24	of	of	ADP
ejpam-5327	201	25	monotone	monotone	ADJ
ejpam-5327	201	26	operator	operator	NOUN
ejpam-5327	201	27	sums	sum	NOUN
ejpam-5327	201	28	.	.	PUNCT
ejpam-5327	202	1	we	we	PRON
ejpam-5327	202	2	next	next	ADV
ejpam-5327	202	3	utilize	utilize	VERB
ejpam-5327	202	4	these	these	DET
ejpam-5327	202	5	findings	finding	NOUN
ejpam-5327	202	6	to	to	PART
ejpam-5327	202	7	solve	solve	VERB
ejpam-5327	202	8	convex	convex	ADJ
ejpam-5327	202	9	minimization	minimization	NOUN
ejpam-5327	202	10	issues	issue	NOUN
ejpam-5327	202	11	.	.	PUNCT
ejpam-5327	203	1	we	we	PRON
ejpam-5327	203	2	first	first	ADV
ejpam-5327	203	3	remember	remember	VERB
ejpam-5327	203	4	the	the	DET
ejpam-5327	203	5	following	following	NOUN
ejpam-5327	203	6	:	:	PUNCT
ejpam-5327	203	7	suppose	suppose	VERB
ejpam-5327	203	8	α	α	X
ejpam-5327	203	9	∈	∈	PROPN
ejpam-5327	203	10	(	(	PUNCT
ejpam-5327	203	11	0	0	NUM
ejpam-5327	203	12	,	,	PUNCT
ejpam-5327	203	13	1	1	NUM
ejpam-5327	203	14	)	)	PUNCT
ejpam-5327	203	15	,	,	PUNCT
ejpam-5327	203	16	an	an	DET
ejpam-5327	203	17	α−averaged	α−averaged	ADJ
ejpam-5327	203	18	operator	operator	NOUN
ejpam-5327	203	19	is	be	AUX
ejpam-5327	203	20	defined	define	VERB
ejpam-5327	203	21	as	as	SCONJ
ejpam-5327	203	22	follows	follow	VERB
ejpam-5327	203	23	:	:	PUNCT
ejpam-5327	203	24	t	t	NOUN
ejpam-5327	203	25	:	:	PUNCT
ejpam-5327	203	26	h	h	NOUN
ejpam-5327	203	27	→	→	SYM
ejpam-5327	203	28	h	h	NOUN
ejpam-5327	203	29	if	if	SCONJ
ejpam-5327	203	30	g	g	NOUN
ejpam-5327	203	31	:	:	PUNCT
ejpam-5327	203	32	h	h	PROPN
ejpam-5327	203	33	→	→	SYM
ejpam-5327	203	34	h	h	NOUN
ejpam-5327	203	35	is	be	AUX
ejpam-5327	203	36	a	a	DET
ejpam-5327	203	37	nonexpansive	nonexpansive	ADJ
ejpam-5327	203	38	operator	operator	NOUN
ejpam-5327	203	39	such	such	ADJ
ejpam-5327	203	40	that	that	DET
ejpam-5327	203	41	t	t	NOUN
ejpam-5327	203	42	=	=	PUNCT
ejpam-5327	203	43	(	(	PUNCT
ejpam-5327	203	44	1−α)i	1−α)i	NUM
ejpam-5327	203	45	+	+	NOUN
ejpam-5327	203	46	αg	αg	NOUN
ejpam-5327	203	47	,	,	PUNCT
ejpam-5327	203	48	where	where	SCONJ
ejpam-5327	203	49	i	i	PRON
ejpam-5327	203	50	is	be	AUX
ejpam-5327	203	51	the	the	DET
ejpam-5327	203	52	identity	identity	NOUN
ejpam-5327	203	53	operator	operator	NOUN
ejpam-5327	203	54	.	.	PUNCT
ejpam-5327	204	1	it	it	PRON
ejpam-5327	204	2	is	be	AUX
ejpam-5327	204	3	simple	simple	ADJ
ejpam-5327	204	4	to	to	PART
ejpam-5327	204	5	demonstrate	demonstrate	VERB
ejpam-5327	204	6	that	that	SCONJ
ejpam-5327	204	7	each	each	DET
ejpam-5327	204	8	α−averaged	α−averaged	ADJ
ejpam-5327	204	9	operator	operator	NOUN
ejpam-5327	204	10	is	be	AUX
ejpam-5327	204	11	nonexpansive	nonexpansive	ADJ
ejpam-5327	204	12	.	.	PUNCT
ejpam-5327	205	1	this	this	PRON
ejpam-5327	205	2	brings	bring	VERB
ejpam-5327	205	3	us	we	PRON
ejpam-5327	205	4	to	to	ADP
ejpam-5327	205	5	our	our	PRON
ejpam-5327	205	6	next	next	ADJ
ejpam-5327	205	7	set	set	NOUN
ejpam-5327	205	8	of	of	ADP
ejpam-5327	205	9	theorems	theorem	NOUN
ejpam-5327	205	10	:	:	PUNCT
ejpam-5327	205	11	theorem	theorem	NOUN
ejpam-5327	205	12	6	6	NUM
ejpam-5327	205	13	.	.	PUNCT
ejpam-5327	206	1	let	let	VERB
ejpam-5327	206	2	h	h	PRON
ejpam-5327	206	3	be	be	AUX
ejpam-5327	206	4	a	a	DET
ejpam-5327	206	5	real	real	ADJ
ejpam-5327	206	6	hilbert	hilbert	NOUN
ejpam-5327	206	7	space	space	NOUN
ejpam-5327	206	8	.	.	PUNCT
ejpam-5327	207	1	let	let	VERB
ejpam-5327	207	2	a	a	DET
ejpam-5327	207	3	:	:	PUNCT
ejpam-5327	207	4	h	h	NOUN
ejpam-5327	207	5	⇒	⇒	NOUN
ejpam-5327	207	6	h	h	NOUN
ejpam-5327	207	7	be	be	AUX
ejpam-5327	207	8	a	a	DET
ejpam-5327	207	9	maximally	maximally	ADV
ejpam-5327	207	10	monotone	monotone	ADJ
ejpam-5327	207	11	operator	operator	NOUN
ejpam-5327	207	12	and	and	CCONJ
ejpam-5327	207	13	b	b	NOUN
ejpam-5327	207	14	:	:	PUNCT
ejpam-5327	207	15	h	h	NOUN
ejpam-5327	207	16	→	→	PUNCT
ejpam-5327	207	17	h	h	NOUN
ejpam-5327	207	18	be	be	AUX
ejpam-5327	207	19	a	a	DET
ejpam-5327	207	20	β−cocoercive	β−cocoercive	NOUN
ejpam-5327	207	21	operator	operator	NOUN
ejpam-5327	207	22	,	,	PUNCT
ejpam-5327	207	23	with	with	ADP
ejpam-5327	207	24	β	β	PROPN
ejpam-5327	207	25	>	>	X
ejpam-5327	207	26	0	0	PROPN
ejpam-5327	207	27	,	,	PUNCT
ejpam-5327	207	28	such	such	ADJ
ejpam-5327	207	29	that	that	SCONJ
ejpam-5327	207	30	zer(a+b	zer(a+b	NOUN
ejpam-5327	207	31	)	)	PUNCT
ejpam-5327	207	32	̸=	̸=	PROPN
ejpam-5327	207	33	∅.	∅.	ADV
ejpam-5327	207	34	let	let	VERB
ejpam-5327	207	35	γ	γ	X
ejpam-5327	207	36	∈	∈	PROPN
ejpam-5327	207	37	(	(	PUNCT
ejpam-5327	207	38	0	0	NUM
ejpam-5327	207	39	,	,	PUNCT
ejpam-5327	207	40	2β	2β	NUM
ejpam-5327	207	41	)	)	PUNCT
ejpam-5327	207	42	.	.	PUNCT
ejpam-5327	208	1	then	then	ADV
ejpam-5327	208	2	starting	start	VERB
ejpam-5327	208	3	from	from	ADP
ejpam-5327	208	4	a0	a0	PROPN
ejpam-5327	208	5	,	,	PUNCT
ejpam-5327	208	6	a1	a1	NOUN
ejpam-5327	208	7	∈	∈	PROPN
ejpam-5327	208	8	h	h	NOUN
ejpam-5327	208	9	,	,	PUNCT
ejpam-5327	208	10	the	the	DET
ejpam-5327	208	11	sequence	sequence	NOUN
ejpam-5327	208	12	{	{	PUNCT
ejpam-5327	208	13	an	an	PRON
ejpam-5327	208	14	}	}	PUNCT
ejpam-5327	208	15	generated	generate	VERB
ejpam-5327	208	16	from	from	ADP
ejpam-5327	208	17	the	the	DET
ejpam-5327	208	18	iterative	iterative	NOUN
ejpam-5327	208	19	scheme	scheme	NOUN
ejpam-5327	208	20			NOUN
ejpam-5327	208	21	bn	bn	NOUN
ejpam-5327	208	22	=	=	PUNCT
ejpam-5327	208	23	an	an	DET
ejpam-5327	208	24	+	+	NOUN
ejpam-5327	208	25	tn(an−1	tn(an−1	NUM
ejpam-5327	208	26	−	−	NOUN
ejpam-5327	208	27	an	an	NOUN
ejpam-5327	208	28	)	)	PUNCT
ejpam-5327	208	29	cn	cn	PROPN
ejpam-5327	208	30	=	=	PUNCT
ejpam-5327	208	31	an	an	DET
ejpam-5327	208	32	+	+	X
ejpam-5327	208	33	rn(an−1	rn(an−1	ADJ
ejpam-5327	208	34	−	−	PROPN
ejpam-5327	208	35	an	an	PRON
ejpam-5327	208	36	)	)	PUNCT
ejpam-5327	208	37	an+1	an+1	NOUN
ejpam-5327	208	38	=	=	SYM
ejpam-5327	208	39	(	(	PUNCT
ejpam-5327	208	40	1−	1−	NUM
ejpam-5327	208	41	αn)bn	αn)bn	NUM
ejpam-5327	208	42	+	+	CCONJ
ejpam-5327	208	43	αnj	αnj	PROPN
ejpam-5327	208	44	γ	γ	PROPN
ejpam-5327	208	45	a(cn	a(cn	PROPN
ejpam-5327	208	46	−	−	PROPN
ejpam-5327	208	47	γbcn	γbcn	PROPN
ejpam-5327	208	48	)	)	PUNCT
ejpam-5327	208	49	,	,	PUNCT
ejpam-5327	208	50	n	n	PRON
ejpam-5327	208	51	≥	≥	NOUN
ejpam-5327	208	52	1	1	NUM
ejpam-5327	208	53	(	(	PUNCT
ejpam-5327	208	54	14	14	NUM
ejpam-5327	208	55	)	)	PUNCT
ejpam-5327	209	1	where	where	SCONJ
ejpam-5327	209	2	{	{	PUNCT
ejpam-5327	209	3	αn	αn	NOUN
ejpam-5327	209	4	}	}	PUNCT
ejpam-5327	209	5	,	,	PUNCT
ejpam-5327	209	6	{	{	PUNCT
ejpam-5327	209	7	rn	rn	NOUN
ejpam-5327	209	8	}	}	PUNCT
ejpam-5327	209	9	and	and	CCONJ
ejpam-5327	209	10	{	{	PUNCT
ejpam-5327	209	11	tn	tn	NOUN
ejpam-5327	209	12	}	}	PUNCT
ejpam-5327	209	13	are	be	AUX
ejpam-5327	209	14	real	real	ADJ
ejpam-5327	209	15	sequences	sequence	NOUN
ejpam-5327	209	16	in	in	ADP
ejpam-5327	209	17	(	(	PUNCT
ejpam-5327	209	18	0	0	NUM
ejpam-5327	209	19	,	,	PUNCT
ejpam-5327	209	20	1	1	X
ejpam-5327	209	21	)	)	PUNCT
ejpam-5327	209	22	satisfying	satisfying	NOUN
ejpam-5327	209	23	:	:	PUNCT
ejpam-5327	210	1	g.	g.	PROPN
ejpam-5327	210	2	c.	c.	PROPN
ejpam-5327	210	3	ugwunnadi	ugwunnadi	PROPN
ejpam-5327	210	4	et	et	PROPN
ejpam-5327	210	5	al	al	PROPN
ejpam-5327	210	6	.	.	PUNCT
ejpam-5327	210	7	/	/	SYM
ejpam-5327	210	8	eur	eur	PROPN
ejpam-5327	210	9	.	.	PUNCT
ejpam-5327	211	1	j.	j.	PROPN
ejpam-5327	211	2	pure	pure	PROPN
ejpam-5327	211	3	appl	appl	PROPN
ejpam-5327	211	4	.	.	PROPN
ejpam-5327	211	5	math	math	PROPN
ejpam-5327	211	6	,	,	PUNCT
ejpam-5327	211	7	17	17	NUM
ejpam-5327	211	8	(	(	PUNCT
ejpam-5327	211	9	3	3	NUM
ejpam-5327	211	10	)	)	PUNCT
ejpam-5327	211	11	(	(	PUNCT
ejpam-5327	211	12	2024	2024	NUM
ejpam-5327	211	13	)	)	PUNCT
ejpam-5327	211	14	,	,	PUNCT
ejpam-5327	211	15	2246	2246	NUM
ejpam-5327	211	16	-	-	SYM
ejpam-5327	211	17	2263	2263	NUM
ejpam-5327	211	18	2255	2255	NUM
ejpam-5327	211	19	(	(	PUNCT
ejpam-5327	211	20	a	a	X
ejpam-5327	211	21	)	)	PUNCT
ejpam-5327	211	22	lim	lim	PROPN
ejpam-5327	211	23	inf	inf	PROPN
ejpam-5327	211	24	αn(1−	αn(1−	PROPN
ejpam-5327	211	25	αn	αn	NOUN
ejpam-5327	211	26	)	)	PUNCT
ejpam-5327	211	27	>	>	X
ejpam-5327	211	28	0	0	PUNCT
ejpam-5327	212	1	(	(	PUNCT
ejpam-5327	212	2	b	b	NOUN
ejpam-5327	212	3	)	)	PUNCT
ejpam-5327	212	4	tn	tn	NOUN
ejpam-5327	212	5	≤	≤	NUM
ejpam-5327	212	6	d	d	NOUN
ejpam-5327	212	7	for	for	ADP
ejpam-5327	212	8	some	some	DET
ejpam-5327	212	9	real	real	ADJ
ejpam-5327	212	10	constant	constant	ADJ
ejpam-5327	212	11	d	d	X
ejpam-5327	212	12	∈	∈	PROPN
ejpam-5327	212	13	(	(	PUNCT
ejpam-5327	212	14	0	0	NUM
ejpam-5327	212	15	,	,	PUNCT
ejpam-5327	212	16	1	1	NUM
ejpam-5327	212	17	)	)	PUNCT
ejpam-5327	212	18	,	,	PUNCT
ejpam-5327	212	19	(	(	PUNCT
ejpam-5327	212	20	c	c	X
ejpam-5327	212	21	)	)	PUNCT
ejpam-5327	212	22	rn	rn	PROPN
ejpam-5327	212	23	≤	≤	NOUN
ejpam-5327	212	24	d1	d1	PROPN
ejpam-5327	212	25	for	for	ADP
ejpam-5327	212	26	some	some	DET
ejpam-5327	212	27	real	real	ADJ
ejpam-5327	212	28	constant	constant	ADJ
ejpam-5327	212	29	d1	d1	PROPN
ejpam-5327	212	30	∈	∈	PROPN
ejpam-5327	212	31	(	(	PUNCT
ejpam-5327	212	32	0	0	NUM
ejpam-5327	212	33	,	,	PUNCT
ejpam-5327	212	34	1	1	NUM
ejpam-5327	212	35	)	)	PUNCT
ejpam-5327	212	36	.	.	PUNCT
ejpam-5327	213	1	converges	converge	VERB
ejpam-5327	213	2	weakly	weakly	ADV
ejpam-5327	213	3	to	to	ADP
ejpam-5327	213	4	an	an	DET
ejpam-5327	213	5	element	element	NOUN
ejpam-5327	213	6	of	of	ADP
ejpam-5327	213	7	zer(a+	zer(a+	PROPN
ejpam-5327	213	8	b	b	NOUN
ejpam-5327	213	9	)	)	PUNCT
ejpam-5327	213	10	.	.	PUNCT
ejpam-5327	214	1	proof	proof	NOUN
ejpam-5327	214	2	.	.	PUNCT
ejpam-5327	215	1	set	set	VERB
ejpam-5327	215	2	t	t	PROPN
ejpam-5327	216	1	=	=	SYM
ejpam-5327	216	2	jγ	jγ	PROPN
ejpam-5327	216	3	a	a	DET
ejpam-5327	216	4	◦	◦	NOUN
ejpam-5327	217	1	(	(	PUNCT
ejpam-5327	217	2	i	i	PRON
ejpam-5327	217	3	−	−	PROPN
ejpam-5327	217	4	γb	γb	NOUN
ejpam-5327	217	5	)	)	PUNCT
ejpam-5327	217	6	,	,	PUNCT
ejpam-5327	217	7	where	where	SCONJ
ejpam-5327	217	8	i	i	PRON
ejpam-5327	217	9	is	be	AUX
ejpam-5327	217	10	the	the	DET
ejpam-5327	217	11	identity	identity	NOUN
ejpam-5327	217	12	operator	operator	NOUN
ejpam-5327	217	13	,	,	PUNCT
ejpam-5327	217	14	so	so	SCONJ
ejpam-5327	217	15	that	that	SCONJ
ejpam-5327	217	16	(	(	PUNCT
ejpam-5327	217	17	14	14	NUM
ejpam-5327	217	18	)	)	PUNCT
ejpam-5327	217	19	can	can	AUX
ejpam-5327	217	20	be	be	AUX
ejpam-5327	217	21	re	re	VERB
ejpam-5327	217	22	-	-	VERB
ejpam-5327	217	23	written	write	VERB
ejpam-5327	217	24	as	as	ADP
ejpam-5327	217	25			PRON
ejpam-5327	217	26	bn	bn	ADJ
ejpam-5327	217	27	=	=	SYM
ejpam-5327	217	28	an	an	DET
ejpam-5327	217	29	+	+	NOUN
ejpam-5327	217	30	tn(an−1	tn(an−1	NUM
ejpam-5327	217	31	−	−	NOUN
ejpam-5327	217	32	an	an	NOUN
ejpam-5327	217	33	)	)	PUNCT
ejpam-5327	217	34	cn	cn	PROPN
ejpam-5327	217	35	=	=	PUNCT
ejpam-5327	218	1	an	an	DET
ejpam-5327	218	2	+	+	X
ejpam-5327	218	3	rn(an−1	rn(an−1	ADJ
ejpam-5327	218	4	−	−	PROPN
ejpam-5327	218	5	an	an	PRON
ejpam-5327	218	6	)	)	PUNCT
ejpam-5327	218	7	an+1	an+1	NOUN
ejpam-5327	218	8	=	=	SYM
ejpam-5327	218	9	(	(	PUNCT
ejpam-5327	218	10	1−	1−	NUM
ejpam-5327	218	11	αn)bn	αn)bn	NUM
ejpam-5327	218	12	+	+	NUM
ejpam-5327	218	13	αnt	αnt	NOUN
ejpam-5327	218	14	cn	cn	PROPN
ejpam-5327	218	15	,	,	PUNCT
ejpam-5327	218	16	n	n	PRON
ejpam-5327	218	17	≥	≥	NOUN
ejpam-5327	218	18	1	1	NUM
ejpam-5327	218	19	.	.	PUNCT
ejpam-5327	219	1	(	(	PUNCT
ejpam-5327	219	2	15	15	NUM
ejpam-5327	219	3	)	)	PUNCT
ejpam-5327	219	4	recall	recall	NOUN
ejpam-5327	219	5	that	that	PRON
ejpam-5327	219	6	jγ	jγ	NOUN
ejpam-5327	219	7	a	a	PRON
ejpam-5327	219	8	is	be	AUX
ejpam-5327	219	9	nonexpansive	nonexpansive	ADJ
ejpam-5327	219	10	(	(	PUNCT
ejpam-5327	219	11	see	see	VERB
ejpam-5327	219	12	for	for	ADP
ejpam-5327	219	13	example	example	NOUN
ejpam-5327	219	14	[	[	X
ejpam-5327	219	15	20	20	NUM
ejpam-5327	219	16	]	]	PUNCT
ejpam-5327	219	17	)	)	PUNCT
ejpam-5327	219	18	.	.	PUNCT
ejpam-5327	220	1	since	since	SCONJ
ejpam-5327	220	2	b	b	PROPN
ejpam-5327	220	3	is	be	AUX
ejpam-5327	220	4	β−cocoercive	β−cocoercive	VERB
ejpam-5327	220	5	,	,	PUNCT
ejpam-5327	220	6	then	then	ADV
ejpam-5327	220	7	i−γb	i−γb	NOUN
ejpam-5327	220	8	is	be	AUX
ejpam-5327	220	9	γ	γ	PROPN
ejpam-5327	220	10	2β−averaged	2β−averaged	NUM
ejpam-5327	220	11	(	(	PUNCT
ejpam-5327	220	12	see	see	VERB
ejpam-5327	220	13	for	for	ADP
ejpam-5327	220	14	example	example	NOUN
ejpam-5327	220	15	[	[	X
ejpam-5327	220	16	3	3	NUM
ejpam-5327	220	17	,	,	PUNCT
ejpam-5327	220	18	proposition	proposition	NOUN
ejpam-5327	220	19	4.33	4.33	NUM
ejpam-5327	220	20	]	]	PUNCT
ejpam-5327	220	21	)	)	PUNCT
ejpam-5327	220	22	and	and	CCONJ
ejpam-5327	220	23	hence	hence	ADV
ejpam-5327	220	24	nonexpansive	nonexpansive	PROPN
ejpam-5327	220	25	.	.	PUNCT
ejpam-5327	221	1	therefore	therefore	ADV
ejpam-5327	221	2	t	t	PROPN
ejpam-5327	221	3	=	=	SYM
ejpam-5327	221	4	jγ	jγ	PROPN
ejpam-5327	221	5	a	a	DET
ejpam-5327	221	6	◦	◦	NOUN
ejpam-5327	221	7	(i−γb	(i−γb	NOUN
ejpam-5327	221	8	)	)	PUNCT
ejpam-5327	221	9	is	be	AUX
ejpam-5327	221	10	nonexpansive	nonexpansive	ADJ
ejpam-5327	221	11	(	(	PUNCT
ejpam-5327	221	12	the	the	DET
ejpam-5327	221	13	composition	composition	NOUN
ejpam-5327	221	14	of	of	ADP
ejpam-5327	221	15	two	two	NUM
ejpam-5327	221	16	nonexpansive	nonexpansive	ADJ
ejpam-5327	221	17	mappings	mapping	NOUN
ejpam-5327	221	18	is	be	AUX
ejpam-5327	221	19	easily	easily	ADV
ejpam-5327	221	20	verifiable	verifiable	ADJ
ejpam-5327	221	21	to	to	PART
ejpam-5327	221	22	be	be	AUX
ejpam-5327	221	23	nonexpansive	nonexpansive	ADJ
ejpam-5327	221	24	)	)	PUNCT
ejpam-5327	221	25	.	.	PUNCT
ejpam-5327	222	1	the	the	DET
ejpam-5327	222	2	results	result	NOUN
ejpam-5327	222	3	now	now	ADV
ejpam-5327	222	4	follow	follow	VERB
ejpam-5327	222	5	from	from	ADP
ejpam-5327	222	6	theorem	theorem	ADJ
ejpam-5327	222	7	2	2	NUM
ejpam-5327	222	8	,	,	PUNCT
ejpam-5327	222	9	since	since	SCONJ
ejpam-5327	222	10	f	f	PROPN
ejpam-5327	222	11	(	(	PUNCT
ejpam-5327	222	12	t	t	PROPN
ejpam-5327	222	13	)	)	PUNCT
ejpam-5327	222	14	=	=	PUNCT
ejpam-5327	223	1	zer(a+	zer(a+	PROPN
ejpam-5327	223	2	b	b	X
ejpam-5327	223	3	)	)	PUNCT
ejpam-5327	223	4	(	(	PUNCT
ejpam-5327	223	5	see	see	VERB
ejpam-5327	223	6	[	[	X
ejpam-5327	223	7	3	3	NUM
ejpam-5327	223	8	,	,	PUNCT
ejpam-5327	223	9	proposition	proposition	NOUN
ejpam-5327	223	10	25.1(iv	25.1(iv	NUM
ejpam-5327	223	11	)	)	PUNCT
ejpam-5327	223	12	]	]	PUNCT
ejpam-5327	223	13	)	)	PUNCT
ejpam-5327	223	14	.	.	PUNCT
ejpam-5327	224	1	theorem	theorem	NOUN
ejpam-5327	224	2	6	6	NUM
ejpam-5327	224	3	can	can	AUX
ejpam-5327	224	4	be	be	AUX
ejpam-5327	224	5	applied	apply	VERB
ejpam-5327	224	6	in	in	ADP
ejpam-5327	224	7	solving	solve	VERB
ejpam-5327	224	8	convex	convex	NOUN
ejpam-5327	224	9	optimization	optimization	NOUN
ejpam-5327	224	10	problems	problem	NOUN
ejpam-5327	224	11	of	of	ADP
ejpam-5327	224	12	the	the	DET
ejpam-5327	224	13	form	form	NOUN
ejpam-5327	224	14	min	min	PROPN
ejpam-5327	224	15	a∈h	a∈h	PROPN
ejpam-5327	224	16	{	{	PUNCT
ejpam-5327	224	17	f(a	f(a	PROPN
ejpam-5327	224	18	)	)	PUNCT
ejpam-5327	225	1	+	+	CCONJ
ejpam-5327	225	2	g(a	g(a	PROPN
ejpam-5327	225	3	)	)	PUNCT
ejpam-5327	225	4	}	}	PUNCT
ejpam-5327	225	5	,	,	PUNCT
ejpam-5327	225	6	where	where	SCONJ
ejpam-5327	225	7	f	f	X
ejpam-5327	225	8	:	:	PUNCT
ejpam-5327	225	9	h	h	NOUN
ejpam-5327	225	10	→	→	PUNCT
ejpam-5327	225	11	r	r	NOUN
ejpam-5327	225	12	∪	∪	X
ejpam-5327	225	13	{	{	PUNCT
ejpam-5327	225	14	+	+	NOUN
ejpam-5327	225	15	∞	∞	NOUN
ejpam-5327	225	16	}	}	PUNCT
ejpam-5327	225	17	is	be	AUX
ejpam-5327	225	18	a	a	DET
ejpam-5327	225	19	proper	proper	ADJ
ejpam-5327	225	20	,	,	PUNCT
ejpam-5327	225	21	convex	convex	ADJ
ejpam-5327	225	22	and	and	CCONJ
ejpam-5327	225	23	lower	low	ADJ
ejpam-5327	225	24	semicontinuous	semicontinuous	ADJ
ejpam-5327	225	25	function	function	NOUN
ejpam-5327	225	26	and	and	CCONJ
ejpam-5327	225	27	g	g	NOUN
ejpam-5327	225	28	:	:	PUNCT
ejpam-5327	225	29	h	h	NOUN
ejpam-5327	225	30	→	→	PUNCT
ejpam-5327	225	31	r	r	NOUN
ejpam-5327	225	32	is	be	AUX
ejpam-5327	225	33	a	a	DET
ejpam-5327	225	34	convex	convex	NOUN
ejpam-5327	225	35	and	and	CCONJ
ejpam-5327	225	36	frechet	frechet	PROPN
ejpam-5327	225	37	differentiable	differentiable	ADJ
ejpam-5327	225	38	function	function	NOUN
ejpam-5327	225	39	which	which	PRON
ejpam-5327	225	40	is	be	AUX
ejpam-5327	225	41	such	such	ADJ
ejpam-5327	225	42	that	that	SCONJ
ejpam-5327	225	43	∇g	∇g	ADJ
ejpam-5327	225	44	is	be	AUX
ejpam-5327	225	45	1	1	NUM
ejpam-5327	225	46	β	β	NOUN
ejpam-5327	225	47	−	−	NOUN
ejpam-5327	225	48	lipschitzian	lipschitzian	ADJ
ejpam-5327	225	49	,	,	PUNCT
ejpam-5327	225	50	for	for	ADP
ejpam-5327	225	51	some	some	DET
ejpam-5327	225	52	β	β	X
ejpam-5327	225	53	>	>	X
ejpam-5327	225	54	0	0	X
ejpam-5327	225	55	.	.	PUNCT
ejpam-5327	226	1	to	to	PART
ejpam-5327	226	2	do	do	VERB
ejpam-5327	226	3	this	this	PRON
ejpam-5327	226	4	,	,	PUNCT
ejpam-5327	226	5	we	we	PRON
ejpam-5327	226	6	recall	recall	VERB
ejpam-5327	226	7	the	the	DET
ejpam-5327	226	8	following	following	NOUN
ejpam-5327	226	9	:	:	PUNCT
ejpam-5327	226	10	if	if	SCONJ
ejpam-5327	226	11	f	f	PROPN
ejpam-5327	226	12	:	:	PUNCT
ejpam-5327	226	13	h	h	NOUN
ejpam-5327	226	14	→	→	PUNCT
ejpam-5327	226	15	r	r	NOUN
ejpam-5327	226	16	∪	∪	X
ejpam-5327	226	17	{	{	PUNCT
ejpam-5327	226	18	+	+	NOUN
ejpam-5327	226	19	∞	∞	NOUN
ejpam-5327	226	20	}	}	PUNCT
ejpam-5327	226	21	is	be	AUX
ejpam-5327	226	22	a	a	DET
ejpam-5327	226	23	proper	proper	ADJ
ejpam-5327	226	24	,	,	PUNCT
ejpam-5327	226	25	convex	convex	ADJ
ejpam-5327	226	26	and	and	CCONJ
ejpam-5327	226	27	lower	low	ADJ
ejpam-5327	226	28	semicontinuous	semicontinuous	ADJ
ejpam-5327	226	29	function	function	NOUN
ejpam-5327	226	30	,	,	PUNCT
ejpam-5327	226	31	then	then	ADV
ejpam-5327	226	32	its	its	PRON
ejpam-5327	226	33	(	(	PUNCT
ejpam-5327	226	34	convex	convex	NOUN
ejpam-5327	226	35	)	)	PUNCT
ejpam-5327	226	36	subdifferential	subdifferential	NOUN
ejpam-5327	226	37	at	at	ADP
ejpam-5327	226	38	a	a	DET
ejpam-5327	226	39	∈	∈	PROPN
ejpam-5327	226	40	h	h	NOUN
ejpam-5327	226	41	is	be	AUX
ejpam-5327	226	42	defined	define	VERB
ejpam-5327	226	43	by	by	ADP
ejpam-5327	226	44	∂f(a	∂f(a	PROPN
ejpam-5327	226	45	)	)	PUNCT
ejpam-5327	226	46	=	=	PRON
ejpam-5327	226	47	{	{	PUNCT
ejpam-5327	226	48	b	b	X
ejpam-5327	226	49	∈	∈	PROPN
ejpam-5327	226	50	h	h	NOUN
ejpam-5327	226	51	:	:	PUNCT
ejpam-5327	226	52	f(z	f(z	PROPN
ejpam-5327	226	53	)	)	PUNCT
ejpam-5327	226	54	≥	≥	NOUN
ejpam-5327	226	55	f(a	f(a	NOUN
ejpam-5327	226	56	)	)	PUNCT
ejpam-5327	227	1	+	+	CCONJ
ejpam-5327	227	2	⟨b	⟨b	NOUN
ejpam-5327	227	3	,	,	PUNCT
ejpam-5327	227	4	z	z	NOUN
ejpam-5327	227	5	−	−	PROPN
ejpam-5327	227	6	a⟩∀z	a⟩∀z	PROPN
ejpam-5327	227	7	∈	∈	PROPN
ejpam-5327	227	8	h	h	NOUN
ejpam-5327	227	9	}	}	PUNCT
ejpam-5327	227	10	,	,	PUNCT
ejpam-5327	227	11	for	for	ADP
ejpam-5327	227	12	all	all	DET
ejpam-5327	227	13	a	a	DET
ejpam-5327	227	14	∈	∈	PROPN
ejpam-5327	227	15	h	h	NOUN
ejpam-5327	227	16	,	,	PUNCT
ejpam-5327	227	17	with	with	ADP
ejpam-5327	227	18	f(a	f(a	NOUN
ejpam-5327	227	19	)	)	PUNCT
ejpam-5327	228	1	=	=	PUNCT
ejpam-5327	229	1	+	+	PUNCT
ejpam-5327	229	2	∞	∞	NUM
ejpam-5327	229	3	and	and	CCONJ
ejpam-5327	229	4	∂f(a	∂f(a	NOUN
ejpam-5327	229	5	)	)	PUNCT
ejpam-5327	230	1	=	=	NOUN
ejpam-5327	230	2	∅	∅	NOUN
ejpam-5327	230	3	otherwise	otherwise	ADV
ejpam-5327	230	4	.	.	PUNCT
ejpam-5327	231	1	when	when	SCONJ
ejpam-5327	231	2	the	the	DET
ejpam-5327	231	3	convex	convex	NOUN
ejpam-5327	231	4	subdifferential	subdifferential	NOUN
ejpam-5327	231	5	is	be	AUX
ejpam-5327	231	6	seen	see	VERB
ejpam-5327	231	7	as	as	ADP
ejpam-5327	231	8	a	a	DET
ejpam-5327	231	9	set	set	NOUN
ejpam-5327	231	10	-	-	PUNCT
ejpam-5327	231	11	valued	value	VERB
ejpam-5327	231	12	mapping	mapping	NOUN
ejpam-5327	231	13	,	,	PUNCT
ejpam-5327	231	14	then	then	ADV
ejpam-5327	231	15	,	,	PUNCT
ejpam-5327	231	16	it	it	PRON
ejpam-5327	231	17	is	be	AUX
ejpam-5327	231	18	maximally	maximally	ADV
ejpam-5327	231	19	monotone	monotone	ADJ
ejpam-5327	231	20	(	(	PUNCT
ejpam-5327	231	21	see	see	VERB
ejpam-5327	231	22	[	[	X
ejpam-5327	231	23	28	28	NUM
ejpam-5327	231	24	]	]	PUNCT
ejpam-5327	231	25	)	)	PUNCT
ejpam-5327	231	26	and	and	CCONJ
ejpam-5327	231	27	its	its	PRON
ejpam-5327	231	28	resolvent	resolvent	NOUN
ejpam-5327	231	29	is	be	AUX
ejpam-5327	231	30	given	give	VERB
ejpam-5327	231	31	by	by	ADP
ejpam-5327	231	32	j∂f	j∂f	NOUN
ejpam-5327	232	1	=	=	X
ejpam-5327	232	2	proxf	proxf	NOUN
ejpam-5327	232	3	(	(	PUNCT
ejpam-5327	232	4	see	see	VERB
ejpam-5327	232	5	[	[	X
ejpam-5327	232	6	3	3	NUM
ejpam-5327	232	7	]	]	NUM
ejpam-5327	232	8	)	)	PUNCT
ejpam-5327	232	9	,	,	PUNCT
ejpam-5327	232	10	where	where	SCONJ
ejpam-5327	232	11	proxf	proxf	ADV
ejpam-5327	232	12	:	:	PUNCT
ejpam-5327	232	13	h	h	NOUN
ejpam-5327	232	14	→	→	PUNCT
ejpam-5327	232	15	h	h	NOUN
ejpam-5327	232	16	is	be	AUX
ejpam-5327	232	17	defined	define	VERB
ejpam-5327	232	18	by	by	ADP
ejpam-5327	232	19	proxf	proxf	NOUN
ejpam-5327	232	20	(	(	PUNCT
ejpam-5327	232	21	a	a	NOUN
ejpam-5327	232	22	)	)	PUNCT
ejpam-5327	232	23	=	=	SYM
ejpam-5327	232	24	argminb∈h{f(b	argminb∈h{f(b	NOUN
ejpam-5327	232	25	)	)	PUNCT
ejpam-5327	232	26	+	+	CCONJ
ejpam-5327	232	27	1	1	NUM
ejpam-5327	232	28	2	2	NUM
ejpam-5327	232	29	∥b−	∥b−	NUM
ejpam-5327	232	30	a∥2	a∥2	NOUN
ejpam-5327	232	31	}	}	PUNCT
ejpam-5327	233	1	and	and	CCONJ
ejpam-5327	233	2	is	be	AUX
ejpam-5327	233	3	called	call	VERB
ejpam-5327	233	4	the	the	DET
ejpam-5327	233	5	proximal	proximal	ADJ
ejpam-5327	233	6	operator	operator	NOUN
ejpam-5327	233	7	of	of	ADP
ejpam-5327	233	8	f	f	PROPN
ejpam-5327	233	9	.	.	PUNCT
ejpam-5327	234	1	we	we	PRON
ejpam-5327	234	2	now	now	ADV
ejpam-5327	234	3	have	have	VERB
ejpam-5327	234	4	the	the	DET
ejpam-5327	234	5	following	follow	VERB
ejpam-5327	234	6	:	:	PUNCT
ejpam-5327	234	7	corollary	corollary	ADJ
ejpam-5327	234	8	1	1	X
ejpam-5327	234	9	.	.	PUNCT
ejpam-5327	235	1	let	let	VERB
ejpam-5327	235	2	f	f	NOUN
ejpam-5327	235	3	:	:	PUNCT
ejpam-5327	235	4	h	h	NOUN
ejpam-5327	235	5	→	→	PUNCT
ejpam-5327	235	6	r	r	NOUN
ejpam-5327	235	7	∪	∪	X
ejpam-5327	235	8	{	{	PUNCT
ejpam-5327	235	9	+	+	NOUN
ejpam-5327	235	10	∞	∞	NOUN
ejpam-5327	235	11	}	}	PUNCT
ejpam-5327	235	12	be	be	AUX
ejpam-5327	235	13	a	a	DET
ejpam-5327	235	14	set	set	NOUN
ejpam-5327	235	15	-	-	PUNCT
ejpam-5327	235	16	valued	value	VERB
ejpam-5327	235	17	,	,	PUNCT
ejpam-5327	235	18	proper	proper	ADJ
ejpam-5327	235	19	,	,	PUNCT
ejpam-5327	235	20	convex	convex	ADJ
ejpam-5327	235	21	and	and	CCONJ
ejpam-5327	235	22	lower	low	ADJ
ejpam-5327	235	23	semicontinuous	semicontinuous	ADJ
ejpam-5327	235	24	function	function	NOUN
ejpam-5327	235	25	and	and	CCONJ
ejpam-5327	235	26	g	g	NOUN
ejpam-5327	235	27	:	:	PUNCT
ejpam-5327	235	28	h	h	NOUN
ejpam-5327	235	29	→	→	PUNCT
ejpam-5327	235	30	r	r	NOUN
ejpam-5327	235	31	be	be	AUX
ejpam-5327	235	32	a	a	DET
ejpam-5327	235	33	convex	convex	NOUN
ejpam-5327	235	34	and	and	CCONJ
ejpam-5327	235	35	frechet	frechet	PROPN
ejpam-5327	235	36	differentiable	differentiable	ADJ
ejpam-5327	235	37	function	function	NOUN
ejpam-5327	235	38	which	which	PRON
ejpam-5327	235	39	is	be	AUX
ejpam-5327	235	40	such	such	ADJ
ejpam-5327	235	41	that	that	SCONJ
ejpam-5327	235	42	∇g	∇g	ADJ
ejpam-5327	235	43	is	be	AUX
ejpam-5327	235	44	1	1	NUM
ejpam-5327	235	45	β−lipschitzian	β−lipschitzian	NUM
ejpam-5327	235	46	,	,	PUNCT
ejpam-5327	235	47	for	for	ADP
ejpam-5327	235	48	some	some	DET
ejpam-5327	235	49	β	β	NOUN
ejpam-5327	235	50	>	>	X
ejpam-5327	235	51	0	0	PUNCT
ejpam-5327	235	52	and	and	CCONJ
ejpam-5327	235	53	argmina∈h{f(a	argmina∈h{f(a	VERB
ejpam-5327	235	54	)	)	PUNCT
ejpam-5327	236	1	+	+	CCONJ
ejpam-5327	236	2	g(a	g(a	PROPN
ejpam-5327	236	3	)	)	PUNCT
ejpam-5327	236	4	}	}	PUNCT
ejpam-5327	237	1	=	=	X
ejpam-5327	237	2	̸	̸	ADV
ejpam-5327	237	3	∅.	∅.	ADV
ejpam-5327	237	4	let	let	VERB
ejpam-5327	237	5	g.	g.	PROPN
ejpam-5327	237	6	c.	c.	PROPN
ejpam-5327	237	7	ugwunnadi	ugwunnadi	PROPN
ejpam-5327	237	8	et	et	PROPN
ejpam-5327	237	9	al	al	PROPN
ejpam-5327	237	10	.	.	PUNCT
ejpam-5327	237	11	/	/	SYM
ejpam-5327	237	12	eur	eur	PROPN
ejpam-5327	237	13	.	.	PUNCT
ejpam-5327	238	1	j.	j.	PROPN
ejpam-5327	238	2	pure	pure	PROPN
ejpam-5327	238	3	appl	appl	PROPN
ejpam-5327	238	4	.	.	PROPN
ejpam-5327	238	5	math	math	PROPN
ejpam-5327	238	6	,	,	PUNCT
ejpam-5327	238	7	17	17	NUM
ejpam-5327	238	8	(	(	PUNCT
ejpam-5327	238	9	3	3	NUM
ejpam-5327	238	10	)	)	PUNCT
ejpam-5327	238	11	(	(	PUNCT
ejpam-5327	238	12	2024	2024	NUM
ejpam-5327	238	13	)	)	PUNCT
ejpam-5327	238	14	,	,	PUNCT
ejpam-5327	238	15	2246	2246	NUM
ejpam-5327	238	16	-	-	SYM
ejpam-5327	238	17	2263	2263	NUM
ejpam-5327	238	18	2256	2256	NUM
ejpam-5327	238	19	γ	γ	X
ejpam-5327	238	20	∈	∈	PROPN
ejpam-5327	238	21	(	(	PUNCT
ejpam-5327	238	22	0	0	NUM
ejpam-5327	238	23	,	,	PUNCT
ejpam-5327	238	24	2β	2β	NOUN
ejpam-5327	238	25	)	)	PUNCT
ejpam-5327	238	26	and	and	CCONJ
ejpam-5327	238	27	starting	start	VERB
ejpam-5327	238	28	from	from	ADP
ejpam-5327	238	29	a0	a0	NOUN
ejpam-5327	238	30	,	,	PUNCT
ejpam-5327	238	31	a1	a1	NOUN
ejpam-5327	238	32	∈	∈	PROPN
ejpam-5327	238	33	h	h	NOUN
ejpam-5327	238	34	,	,	PUNCT
ejpam-5327	238	35	generate	generate	VERB
ejpam-5327	238	36	the	the	DET
ejpam-5327	238	37	sequence	sequence	NOUN
ejpam-5327	238	38	{	{	PUNCT
ejpam-5327	238	39	an	an	NOUN
ejpam-5327	238	40	}	}	PUNCT
ejpam-5327	238	41	from	from	ADP
ejpam-5327	238	42	the	the	DET
ejpam-5327	238	43	iterative	iterative	NOUN
ejpam-5327	238	44	scheme	scheme	NOUN
ejpam-5327	238	45			NOUN
ejpam-5327	238	46	bn	bn	NOUN
ejpam-5327	238	47	=	=	PUNCT
ejpam-5327	238	48	an	an	DET
ejpam-5327	238	49	+	+	NOUN
ejpam-5327	238	50	tn(an−1	tn(an−1	NUM
ejpam-5327	238	51	−	−	NOUN
ejpam-5327	238	52	an	an	NOUN
ejpam-5327	238	53	)	)	PUNCT
ejpam-5327	238	54	cn	cn	PROPN
ejpam-5327	238	55	=	=	PUNCT
ejpam-5327	238	56	an	an	DET
ejpam-5327	238	57	+	+	X
ejpam-5327	238	58	rn(an−1	rn(an−1	ADJ
ejpam-5327	238	59	−	−	PROPN
ejpam-5327	238	60	an	an	PRON
ejpam-5327	238	61	)	)	PUNCT
ejpam-5327	238	62	an+1	an+1	NOUN
ejpam-5327	238	63	=	=	SYM
ejpam-5327	238	64	(	(	PUNCT
ejpam-5327	238	65	1−	1−	NUM
ejpam-5327	238	66	αn)bn	αn)bn	NUM
ejpam-5327	238	67	+	+	NUM
ejpam-5327	238	68	αnprox	αnprox	NOUN
ejpam-5327	238	69	γ	γ	X
ejpam-5327	238	70	f	f	PROPN
ejpam-5327	238	71	(	(	PUNCT
ejpam-5327	238	72	cn	cn	PROPN
ejpam-5327	238	73	−	−	PROPN
ejpam-5327	238	74	γ∇g(cn	γ∇g(cn	PROPN
ejpam-5327	238	75	)	)	PUNCT
ejpam-5327	238	76	)	)	PUNCT
ejpam-5327	238	77	(	(	PUNCT
ejpam-5327	238	78	16	16	NUM
ejpam-5327	238	79	)	)	PUNCT
ejpam-5327	238	80	for	for	ADP
ejpam-5327	238	81	all	all	DET
ejpam-5327	238	82	n	n	PRON
ejpam-5327	238	83	≥	≥	NOUN
ejpam-5327	238	84	1	1	NUM
ejpam-5327	238	85	,	,	PUNCT
ejpam-5327	238	86	where	where	SCONJ
ejpam-5327	238	87	{	{	PUNCT
ejpam-5327	238	88	αn	αn	NOUN
ejpam-5327	238	89	}	}	PUNCT
ejpam-5327	238	90	,	,	PUNCT
ejpam-5327	238	91	{	{	PUNCT
ejpam-5327	238	92	rn	rn	NOUN
ejpam-5327	238	93	}	}	PUNCT
ejpam-5327	238	94	and	and	CCONJ
ejpam-5327	238	95	{	{	PUNCT
ejpam-5327	238	96	tn	tn	NOUN
ejpam-5327	238	97	}	}	PUNCT
ejpam-5327	238	98	are	be	AUX
ejpam-5327	238	99	real	real	ADJ
ejpam-5327	238	100	sequences	sequence	NOUN
ejpam-5327	238	101	in	in	ADP
ejpam-5327	238	102	(	(	PUNCT
ejpam-5327	238	103	0	0	NUM
ejpam-5327	238	104	,	,	PUNCT
ejpam-5327	238	105	1	1	X
ejpam-5327	238	106	)	)	PUNCT
ejpam-5327	238	107	satisfying	satisfying	NOUN
ejpam-5327	238	108	:	:	PUNCT
ejpam-5327	238	109	(	(	PUNCT
ejpam-5327	238	110	a	a	X
ejpam-5327	238	111	)	)	PUNCT
ejpam-5327	238	112	lim	lim	PROPN
ejpam-5327	238	113	inf	inf	PROPN
ejpam-5327	238	114	αn(1−	αn(1−	PROPN
ejpam-5327	238	115	αn	αn	NOUN
ejpam-5327	238	116	)	)	PUNCT
ejpam-5327	238	117	>	>	X
ejpam-5327	238	118	0	0	PUNCT
ejpam-5327	239	1	(	(	PUNCT
ejpam-5327	239	2	b	b	NOUN
ejpam-5327	239	3	)	)	PUNCT
ejpam-5327	239	4	tn	tn	NOUN
ejpam-5327	239	5	≤	≤	NUM
ejpam-5327	239	6	d	d	NOUN
ejpam-5327	239	7	for	for	ADP
ejpam-5327	239	8	some	some	DET
ejpam-5327	239	9	real	real	ADJ
ejpam-5327	239	10	constant	constant	ADJ
ejpam-5327	239	11	d	d	X
ejpam-5327	239	12	∈	∈	PROPN
ejpam-5327	239	13	(	(	PUNCT
ejpam-5327	239	14	0	0	NUM
ejpam-5327	239	15	,	,	PUNCT
ejpam-5327	239	16	1	1	NUM
ejpam-5327	239	17	)	)	PUNCT
ejpam-5327	239	18	,	,	PUNCT
ejpam-5327	239	19	(	(	PUNCT
ejpam-5327	239	20	c	c	X
ejpam-5327	239	21	)	)	PUNCT
ejpam-5327	239	22	rn	rn	PROPN
ejpam-5327	239	23	≤	≤	NOUN
ejpam-5327	239	24	d1	d1	PROPN
ejpam-5327	239	25	for	for	ADP
ejpam-5327	239	26	some	some	DET
ejpam-5327	239	27	real	real	ADJ
ejpam-5327	239	28	constant	constant	ADJ
ejpam-5327	239	29	d1	d1	PROPN
ejpam-5327	239	30	∈	∈	PROPN
ejpam-5327	239	31	(	(	PUNCT
ejpam-5327	239	32	0	0	NUM
ejpam-5327	239	33	,	,	PUNCT
ejpam-5327	239	34	1	1	NUM
ejpam-5327	239	35	)	)	PUNCT
ejpam-5327	239	36	.	.	PUNCT
ejpam-5327	240	1	then	then	ADV
ejpam-5327	240	2	{	{	PUNCT
ejpam-5327	240	3	an	an	PRON
ejpam-5327	240	4	}	}	PUNCT
ejpam-5327	240	5	converges	converge	VERB
ejpam-5327	240	6	weakly	weakly	ADJ
ejpam-5327	240	7	to	to	ADP
ejpam-5327	240	8	an	an	DET
ejpam-5327	240	9	element	element	NOUN
ejpam-5327	240	10	of	of	ADP
ejpam-5327	240	11	argmin{f(a	argmin{f(a	ADV
ejpam-5327	240	12	)	)	PUNCT
ejpam-5327	241	1	+	+	CCONJ
ejpam-5327	241	2	g(a	g(a	PROPN
ejpam-5327	241	3	)	)	PUNCT
ejpam-5327	241	4	}	}	PUNCT
ejpam-5327	241	5	.	.	PUNCT
ejpam-5327	242	1	proof	proof	NOUN
ejpam-5327	242	2	.	.	PUNCT
ejpam-5327	243	1	set	set	VERB
ejpam-5327	243	2	t	t	NOUN
ejpam-5327	243	3	=	=	PUNCT
ejpam-5327	243	4	proxγf	proxγf	NOUN
ejpam-5327	243	5	◦	◦	NOUN
ejpam-5327	243	6	(	(	PUNCT
ejpam-5327	243	7	i	i	PRON
ejpam-5327	243	8	−	−	PROPN
ejpam-5327	243	9	γ∇g	γ∇g	NOUN
ejpam-5327	243	10	)	)	PUNCT
ejpam-5327	243	11	,	,	PUNCT
ejpam-5327	243	12	where	where	SCONJ
ejpam-5327	243	13	i	i	PRON
ejpam-5327	243	14	is	be	AUX
ejpam-5327	243	15	the	the	DET
ejpam-5327	243	16	identity	identity	NOUN
ejpam-5327	243	17	operator	operator	NOUN
ejpam-5327	243	18	.	.	PUNCT
ejpam-5327	244	1	from	from	ADP
ejpam-5327	244	2	the	the	DET
ejpam-5327	244	3	baillonhaddad	baillonhaddad	NOUN
ejpam-5327	244	4	theorem	theorem	NOUN
ejpam-5327	244	5	(	(	PUNCT
ejpam-5327	244	6	see	see	VERB
ejpam-5327	244	7	[	[	X
ejpam-5327	244	8	3	3	NUM
ejpam-5327	244	9	]	]	PUNCT
ejpam-5327	244	10	,	,	PUNCT
ejpam-5327	244	11	corollary	corollary	ADJ
ejpam-5327	244	12	16	16	NUM
ejpam-5327	244	13	)	)	PUNCT
ejpam-5327	244	14	,	,	PUNCT
ejpam-5327	244	15	∇g	∇g	ADJ
ejpam-5327	244	16	is	be	AUX
ejpam-5327	244	17	β−	β−	PRON
ejpam-5327	244	18	cocoercive	cocoercive	ADJ
ejpam-5327	244	19	.	.	PUNCT
ejpam-5327	245	1	from	from	ADP
ejpam-5327	245	2	theorem	theorem	ADJ
ejpam-5327	245	3	6	6	NUM
ejpam-5327	245	4	,	,	PUNCT
ejpam-5327	245	5	by	by	ADP
ejpam-5327	245	6	setting	set	VERB
ejpam-5327	245	7	a	a	PRON
ejpam-5327	245	8	:	:	PUNCT
ejpam-5327	245	9	=	=	SYM
ejpam-5327	245	10	∂f	∂f	PROPN
ejpam-5327	245	11	and	and	CCONJ
ejpam-5327	245	12	b	b	NOUN
ejpam-5327	245	13	=	=	PUNCT
ejpam-5327	245	14	∇g	∇g	ADJ
ejpam-5327	245	15	and	and	CCONJ
ejpam-5327	245	16	considering	consider	VERB
ejpam-5327	245	17	the	the	DET
ejpam-5327	245	18	fact	fact	NOUN
ejpam-5327	245	19	that	that	SCONJ
ejpam-5327	245	20	zer(∂f	zer(∂f	NOUN
ejpam-5327	245	21	+	+	NOUN
ejpam-5327	245	22	∇g	∇g	NOUN
ejpam-5327	245	23	)	)	PUNCT
ejpam-5327	245	24	=	=	SYM
ejpam-5327	245	25	argmina∈h{f(a	argmina∈h{f(a	NOUN
ejpam-5327	245	26	)	)	PUNCT
ejpam-5327	246	1	+	+	CCONJ
ejpam-5327	246	2	g(a	g(a	PROPN
ejpam-5327	246	3	)	)	PUNCT
ejpam-5327	246	4	}	}	PUNCT
ejpam-5327	246	5	,	,	PUNCT
ejpam-5327	246	6	the	the	DET
ejpam-5327	246	7	result	result	NOUN
ejpam-5327	246	8	follows	follow	VERB
ejpam-5327	246	9	.	.	PUNCT
ejpam-5327	247	1	theorem	theorem	ADJ
ejpam-5327	247	2	7	7	NUM
ejpam-5327	247	3	.	.	PUNCT
ejpam-5327	248	1	let	let	VERB
ejpam-5327	248	2	h	h	PRON
ejpam-5327	248	3	be	be	AUX
ejpam-5327	248	4	a	a	DET
ejpam-5327	248	5	real	real	ADJ
ejpam-5327	248	6	hilbert	hilbert	NOUN
ejpam-5327	248	7	space	space	NOUN
ejpam-5327	248	8	.	.	PUNCT
ejpam-5327	249	1	let	let	VERB
ejpam-5327	249	2	a	a	DET
ejpam-5327	249	3	:	:	PUNCT
ejpam-5327	249	4	h	h	NOUN
ejpam-5327	249	5	⇒	⇒	NOUN
ejpam-5327	249	6	h	h	NOUN
ejpam-5327	249	7	be	be	AUX
ejpam-5327	249	8	a	a	DET
ejpam-5327	249	9	maximally	maximally	ADV
ejpam-5327	249	10	monotone	monotone	ADJ
ejpam-5327	249	11	operator	operator	NOUN
ejpam-5327	249	12	and	and	CCONJ
ejpam-5327	249	13	b	b	NOUN
ejpam-5327	249	14	:	:	PUNCT
ejpam-5327	249	15	h	h	NOUN
ejpam-5327	249	16	→	→	PUNCT
ejpam-5327	249	17	h	h	NOUN
ejpam-5327	249	18	be	be	AUX
ejpam-5327	249	19	a	a	DET
ejpam-5327	249	20	β−cocoercive	β−cocoercive	NOUN
ejpam-5327	249	21	operator	operator	NOUN
ejpam-5327	249	22	,	,	PUNCT
ejpam-5327	249	23	with	with	ADP
ejpam-5327	249	24	β	β	PROPN
ejpam-5327	249	25	>	>	X
ejpam-5327	249	26	0	0	PROPN
ejpam-5327	249	27	,	,	PUNCT
ejpam-5327	249	28	such	such	ADJ
ejpam-5327	249	29	that	that	SCONJ
ejpam-5327	249	30	zer(a+b	zer(a+b	NOUN
ejpam-5327	249	31	)	)	PUNCT
ejpam-5327	249	32	̸=	̸=	PROPN
ejpam-5327	249	33	∅.	∅.	ADV
ejpam-5327	249	34	let	let	VERB
ejpam-5327	249	35	γ	γ	X
ejpam-5327	249	36	∈	∈	PROPN
ejpam-5327	249	37	(	(	PUNCT
ejpam-5327	249	38	0	0	NUM
ejpam-5327	249	39	,	,	PUNCT
ejpam-5327	249	40	2β	2β	NOUN
ejpam-5327	249	41	)	)	PUNCT
ejpam-5327	249	42	and	and	CCONJ
ejpam-5327	249	43	starting	start	VERB
ejpam-5327	249	44	from	from	ADP
ejpam-5327	249	45	a0	a0	NOUN
ejpam-5327	249	46	,	,	PUNCT
ejpam-5327	249	47	a1	a1	NOUN
ejpam-5327	249	48	∈	∈	PROPN
ejpam-5327	249	49	h	h	NOUN
ejpam-5327	249	50	,	,	PUNCT
ejpam-5327	249	51	generate	generate	VERB
ejpam-5327	249	52	the	the	DET
ejpam-5327	249	53	sequence	sequence	NOUN
ejpam-5327	249	54	{	{	PUNCT
ejpam-5327	249	55	an	an	NOUN
ejpam-5327	249	56	}	}	PUNCT
ejpam-5327	249	57	from	from	ADP
ejpam-5327	249	58	the	the	DET
ejpam-5327	249	59	iterative	iterative	NOUN
ejpam-5327	249	60	scheme	scheme	NOUN
ejpam-5327	249	61			NOUN
ejpam-5327	250	1	bn	bn	NOUN
ejpam-5327	250	2	=	=	PUNCT
ejpam-5327	250	3	an	an	DET
ejpam-5327	250	4	+	+	NOUN
ejpam-5327	250	5	tn(an−1	tn(an−1	NUM
ejpam-5327	250	6	−	−	NOUN
ejpam-5327	250	7	an	an	NOUN
ejpam-5327	250	8	)	)	PUNCT
ejpam-5327	250	9	cn	cn	PROPN
ejpam-5327	250	10	=	=	PUNCT
ejpam-5327	250	11	an	an	DET
ejpam-5327	250	12	+	+	X
ejpam-5327	250	13	rn(an−1	rn(an−1	ADJ
ejpam-5327	250	14	−	−	PROPN
ejpam-5327	250	15	an	an	PRON
ejpam-5327	250	16	)	)	PUNCT
ejpam-5327	250	17	an+1	an+1	NOUN
ejpam-5327	251	1	=	=	SYM
ejpam-5327	251	2	(	(	PUNCT
ejpam-5327	251	3	1−	1−	NUM
ejpam-5327	251	4	αn)bn	αn)bn	NUM
ejpam-5327	251	5	+	+	CCONJ
ejpam-5327	251	6	αnj	αnj	PROPN
ejpam-5327	251	7	γ	γ	PROPN
ejpam-5327	251	8	a(cn	a(cn	PROPN
ejpam-5327	251	9	−	−	PROPN
ejpam-5327	251	10	γbcn	γbcn	PROPN
ejpam-5327	251	11	)	)	PUNCT
ejpam-5327	251	12	(	(	PUNCT
ejpam-5327	251	13	17	17	NUM
ejpam-5327	251	14	)	)	PUNCT
ejpam-5327	251	15	where	where	SCONJ
ejpam-5327	251	16	{	{	PUNCT
ejpam-5327	251	17	αn	αn	NOUN
ejpam-5327	251	18	}	}	PUNCT
ejpam-5327	251	19	,	,	PUNCT
ejpam-5327	251	20	{	{	PUNCT
ejpam-5327	251	21	rn	rn	NOUN
ejpam-5327	251	22	}	}	PUNCT
ejpam-5327	251	23	and	and	CCONJ
ejpam-5327	251	24	{	{	PUNCT
ejpam-5327	251	25	tn	tn	NOUN
ejpam-5327	251	26	}	}	PUNCT
ejpam-5327	251	27	are	be	AUX
ejpam-5327	251	28	real	real	ADJ
ejpam-5327	251	29	sequences	sequence	NOUN
ejpam-5327	251	30	in	in	ADP
ejpam-5327	251	31	(	(	PUNCT
ejpam-5327	251	32	0	0	NUM
ejpam-5327	251	33	,	,	PUNCT
ejpam-5327	251	34	1	1	X
ejpam-5327	251	35	)	)	PUNCT
ejpam-5327	251	36	satisfying	satisfying	NOUN
ejpam-5327	251	37	:	:	PUNCT
ejpam-5327	251	38	(	(	PUNCT
ejpam-5327	251	39	a	a	X
ejpam-5327	251	40	)	)	PUNCT
ejpam-5327	251	41	0	0	PUNCT
ejpam-5327	252	1	<	<	X
ejpam-5327	252	2	a	a	DET
ejpam-5327	252	3	≤	≤	NUM
ejpam-5327	252	4	αn	αn	NOUN
ejpam-5327	252	5	≤	≤	NUM
ejpam-5327	252	6	b	b	NOUN
ejpam-5327	252	7	<	<	X
ejpam-5327	252	8	1	1	NUM
ejpam-5327	252	9	for	for	ADP
ejpam-5327	252	10	some	some	DET
ejpam-5327	252	11	real	real	ADJ
ejpam-5327	252	12	constants	constant	NOUN
ejpam-5327	252	13	a	a	DET
ejpam-5327	252	14	,	,	PUNCT
ejpam-5327	252	15	b	b	X
ejpam-5327	252	16	∈	∈	PROPN
ejpam-5327	252	17	(	(	PUNCT
ejpam-5327	252	18	0	0	NUM
ejpam-5327	252	19	,	,	PUNCT
ejpam-5327	252	20	1	1	NUM
ejpam-5327	252	21	)	)	PUNCT
ejpam-5327	252	22	,	,	PUNCT
ejpam-5327	252	23	(	(	PUNCT
ejpam-5327	252	24	b	b	X
ejpam-5327	252	25	)	)	PUNCT
ejpam-5327	252	26	tn	tn	NOUN
ejpam-5327	252	27	≤	≤	NUM
ejpam-5327	252	28	d	d	NOUN
ejpam-5327	252	29	for	for	ADP
ejpam-5327	252	30	some	some	DET
ejpam-5327	252	31	real	real	ADJ
ejpam-5327	252	32	constant	constant	ADJ
ejpam-5327	252	33	d	d	X
ejpam-5327	252	34	∈	∈	PROPN
ejpam-5327	252	35	(	(	PUNCT
ejpam-5327	252	36	0	0	NUM
ejpam-5327	252	37	,	,	PUNCT
ejpam-5327	252	38	1	1	NUM
ejpam-5327	252	39	)	)	PUNCT
ejpam-5327	252	40	,	,	PUNCT
ejpam-5327	252	41	(	(	PUNCT
ejpam-5327	252	42	c	c	X
ejpam-5327	252	43	)	)	PUNCT
ejpam-5327	252	44	rn	rn	PROPN
ejpam-5327	252	45	≤	≤	NOUN
ejpam-5327	252	46	d1	d1	PROPN
ejpam-5327	252	47	for	for	ADP
ejpam-5327	252	48	some	some	DET
ejpam-5327	252	49	real	real	ADJ
ejpam-5327	252	50	constant	constant	ADJ
ejpam-5327	252	51	d1	d1	PROPN
ejpam-5327	252	52	∈	∈	PROPN
ejpam-5327	252	53	(	(	PUNCT
ejpam-5327	252	54	0	0	NUM
ejpam-5327	252	55	,	,	PUNCT
ejpam-5327	252	56	1	1	NUM
ejpam-5327	252	57	)	)	PUNCT
ejpam-5327	252	58	then	then	ADV
ejpam-5327	252	59	{	{	PUNCT
ejpam-5327	252	60	xn	xn	X
ejpam-5327	252	61	}	}	PUNCT
ejpam-5327	252	62	converges	converge	VERB
ejpam-5327	252	63	weakly	weakly	ADV
ejpam-5327	252	64	to	to	ADP
ejpam-5327	252	65	an	an	DET
ejpam-5327	252	66	element	element	NOUN
ejpam-5327	252	67	of	of	ADP
ejpam-5327	252	68	zer(a+b	zer(a+b	NOUN
ejpam-5327	252	69	)	)	PUNCT
ejpam-5327	252	70	.	.	PUNCT
ejpam-5327	253	1	proof	proof	NOUN
ejpam-5327	253	2	.	.	PUNCT
ejpam-5327	254	1	set	set	VERB
ejpam-5327	254	2	t	t	PROPN
ejpam-5327	255	1	=	=	SYM
ejpam-5327	255	2	jγ	jγ	PROPN
ejpam-5327	255	3	a	a	DET
ejpam-5327	255	4	◦	◦	NOUN
ejpam-5327	256	1	(	(	PUNCT
ejpam-5327	256	2	i	i	PRON
ejpam-5327	256	3	−	−	PROPN
ejpam-5327	256	4	γb	γb	NOUN
ejpam-5327	256	5	)	)	PUNCT
ejpam-5327	256	6	,	,	PUNCT
ejpam-5327	256	7	where	where	SCONJ
ejpam-5327	256	8	i	i	PRON
ejpam-5327	256	9	is	be	AUX
ejpam-5327	256	10	the	the	DET
ejpam-5327	256	11	identity	identity	NOUN
ejpam-5327	256	12	operator	operator	NOUN
ejpam-5327	256	13	,	,	PUNCT
ejpam-5327	256	14	so	so	SCONJ
ejpam-5327	256	15	that	that	SCONJ
ejpam-5327	256	16	(	(	PUNCT
ejpam-5327	256	17	7	7	X
ejpam-5327	256	18	)	)	PUNCT
ejpam-5327	256	19	can	can	AUX
ejpam-5327	256	20	be	be	AUX
ejpam-5327	256	21	re	re	VERB
ejpam-5327	256	22	-	-	VERB
ejpam-5327	256	23	written	write	VERB
ejpam-5327	256	24	as	as	ADP
ejpam-5327	256	25			PRON
ejpam-5327	256	26	bn	bn	ADJ
ejpam-5327	256	27	=	=	SYM
ejpam-5327	256	28	an	an	DET
ejpam-5327	256	29	+	+	NOUN
ejpam-5327	256	30	tn(an−1	tn(an−1	NUM
ejpam-5327	256	31	−	−	NOUN
ejpam-5327	256	32	an	an	NOUN
ejpam-5327	256	33	)	)	PUNCT
ejpam-5327	256	34	cn	cn	PROPN
ejpam-5327	256	35	=	=	PUNCT
ejpam-5327	257	1	an	an	DET
ejpam-5327	257	2	+	+	X
ejpam-5327	257	3	rn(an−1	rn(an−1	ADJ
ejpam-5327	257	4	−	−	PROPN
ejpam-5327	257	5	an	an	PRON
ejpam-5327	257	6	)	)	PUNCT
ejpam-5327	257	7	an+1	an+1	NOUN
ejpam-5327	257	8	=	=	SYM
ejpam-5327	257	9	(	(	PUNCT
ejpam-5327	257	10	1−	1−	NUM
ejpam-5327	257	11	αn)bn	αn)bn	NUM
ejpam-5327	258	1	+	+	NUM
ejpam-5327	258	2	αnt	αnt	NOUN
ejpam-5327	258	3	cn	cn	X
ejpam-5327	258	4	(	(	PUNCT
ejpam-5327	258	5	18	18	NUM
ejpam-5327	258	6	)	)	PUNCT
ejpam-5327	258	7	recall	recall	NOUN
ejpam-5327	258	8	that	that	PRON
ejpam-5327	258	9	jγ	jγ	NOUN
ejpam-5327	258	10	a	a	PRON
ejpam-5327	258	11	is	be	AUX
ejpam-5327	258	12	nonexpansive	nonexpansive	ADJ
ejpam-5327	258	13	(	(	PUNCT
ejpam-5327	258	14	see	see	VERB
ejpam-5327	258	15	for	for	ADP
ejpam-5327	258	16	example	example	NOUN
ejpam-5327	258	17	[	[	X
ejpam-5327	258	18	20	20	NUM
ejpam-5327	258	19	]	]	PUNCT
ejpam-5327	258	20	)	)	PUNCT
ejpam-5327	258	21	.	.	PUNCT
ejpam-5327	259	1	since	since	SCONJ
ejpam-5327	259	2	b	b	PROPN
ejpam-5327	259	3	is	be	AUX
ejpam-5327	259	4	β−cocoercive	β−cocoercive	VERB
ejpam-5327	259	5	,	,	PUNCT
ejpam-5327	259	6	then	then	ADV
ejpam-5327	259	7	i−γb	i−γb	NOUN
ejpam-5327	259	8	is	be	AUX
ejpam-5327	259	9	γ	γ	PROPN
ejpam-5327	259	10	2β−	2β−	PROPN
ejpam-5327	259	11	averaged	average	VERB
ejpam-5327	259	12	(	(	PUNCT
ejpam-5327	259	13	see	see	VERB
ejpam-5327	259	14	for	for	ADP
ejpam-5327	259	15	example	example	NOUN
ejpam-5327	259	16	[	[	X
ejpam-5327	259	17	3	3	NUM
ejpam-5327	259	18	,	,	PUNCT
ejpam-5327	259	19	proposition	proposition	NOUN
ejpam-5327	259	20	4.33	4.33	NUM
ejpam-5327	259	21	]	]	PUNCT
ejpam-5327	259	22	)	)	PUNCT
ejpam-5327	259	23	and	and	CCONJ
ejpam-5327	259	24	hence	hence	ADV
ejpam-5327	259	25	nonexpansive	nonexpansive	PROPN
ejpam-5327	259	26	.	.	PUNCT
ejpam-5327	260	1	therefore	therefore	ADV
ejpam-5327	260	2	g.	g.	PROPN
ejpam-5327	260	3	c.	c.	PROPN
ejpam-5327	260	4	ugwunnadi	ugwunnadi	PROPN
ejpam-5327	260	5	et	et	PROPN
ejpam-5327	260	6	al	al	PROPN
ejpam-5327	260	7	.	.	PUNCT
ejpam-5327	260	8	/	/	SYM
ejpam-5327	260	9	eur	eur	PROPN
ejpam-5327	260	10	.	.	PUNCT
ejpam-5327	261	1	j.	j.	PROPN
ejpam-5327	261	2	pure	pure	PROPN
ejpam-5327	261	3	appl	appl	PROPN
ejpam-5327	261	4	.	.	PROPN
ejpam-5327	261	5	math	math	PROPN
ejpam-5327	261	6	,	,	PUNCT
ejpam-5327	261	7	17	17	NUM
ejpam-5327	261	8	(	(	PUNCT
ejpam-5327	261	9	3	3	NUM
ejpam-5327	261	10	)	)	PUNCT
ejpam-5327	261	11	(	(	PUNCT
ejpam-5327	261	12	2024	2024	NUM
ejpam-5327	261	13	)	)	PUNCT
ejpam-5327	261	14	,	,	PUNCT
ejpam-5327	261	15	2246	2246	NUM
ejpam-5327	261	16	-	-	SYM
ejpam-5327	261	17	2263	2263	NUM
ejpam-5327	261	18	2257	2257	NUM
ejpam-5327	261	19	t	t	NOUN
ejpam-5327	261	20	=	=	SYM
ejpam-5327	261	21	jγ	jγ	PROPN
ejpam-5327	261	22	a	a	DET
ejpam-5327	261	23	◦	◦	NOUN
ejpam-5327	261	24	(i−γb	(i−γb	NOUN
ejpam-5327	261	25	)	)	PUNCT
ejpam-5327	261	26	is	be	AUX
ejpam-5327	261	27	nonexpansive	nonexpansive	ADJ
ejpam-5327	261	28	(	(	PUNCT
ejpam-5327	261	29	the	the	DET
ejpam-5327	261	30	composition	composition	NOUN
ejpam-5327	261	31	of	of	ADP
ejpam-5327	261	32	two	two	NUM
ejpam-5327	261	33	nonexpansive	nonexpansive	ADJ
ejpam-5327	261	34	mappings	mapping	NOUN
ejpam-5327	261	35	is	be	AUX
ejpam-5327	261	36	easily	easily	ADV
ejpam-5327	261	37	verifiable	verifiable	ADJ
ejpam-5327	261	38	to	to	PART
ejpam-5327	261	39	be	be	AUX
ejpam-5327	261	40	nonexpansive	nonexpansive	ADJ
ejpam-5327	261	41	)	)	PUNCT
ejpam-5327	261	42	.	.	PUNCT
ejpam-5327	262	1	the	the	DET
ejpam-5327	262	2	results	result	NOUN
ejpam-5327	262	3	now	now	ADV
ejpam-5327	262	4	follow	follow	VERB
ejpam-5327	262	5	from	from	ADP
ejpam-5327	262	6	theorem	theorem	ADJ
ejpam-5327	262	7	3	3	NUM
ejpam-5327	262	8	,	,	PUNCT
ejpam-5327	262	9	since	since	SCONJ
ejpam-5327	262	10	f	f	PROPN
ejpam-5327	262	11	(	(	PUNCT
ejpam-5327	262	12	t	t	PROPN
ejpam-5327	262	13	)	)	PUNCT
ejpam-5327	262	14	=	=	PUNCT
ejpam-5327	263	1	zer(a+	zer(a+	PROPN
ejpam-5327	263	2	b	b	X
ejpam-5327	263	3	)	)	PUNCT
ejpam-5327	263	4	(	(	PUNCT
ejpam-5327	263	5	see	see	VERB
ejpam-5327	263	6	[	[	X
ejpam-5327	263	7	3	3	NUM
ejpam-5327	263	8	,	,	PUNCT
ejpam-5327	263	9	proposition	proposition	NOUN
ejpam-5327	263	10	25.1(iv	25.1(iv	NUM
ejpam-5327	263	11	)	)	PUNCT
ejpam-5327	263	12	]	]	PUNCT
ejpam-5327	263	13	)	)	PUNCT
ejpam-5327	263	14	remark	remark	NOUN
ejpam-5327	263	15	2	2	NUM
ejpam-5327	263	16	.	.	PUNCT
ejpam-5327	264	1	the	the	DET
ejpam-5327	264	2	equivalence	equivalence	NOUN
ejpam-5327	264	3	of	of	ADP
ejpam-5327	264	4	theorem	theorem	ADJ
ejpam-5327	264	5	6	6	NUM
ejpam-5327	264	6	and	and	CCONJ
ejpam-5327	264	7	corollary	corollary	ADJ
ejpam-5327	264	8	1	1	NUM
ejpam-5327	264	9	easily	easily	ADV
ejpam-5327	264	10	follow	follow	VERB
ejpam-5327	264	11	from	from	ADP
ejpam-5327	264	12	theorem	theorem	NOUN
ejpam-5327	264	13	7	7	NUM
ejpam-5327	264	14	with	with	ADP
ejpam-5327	264	15	the	the	DET
ejpam-5327	264	16	conditions	condition	NOUN
ejpam-5327	264	17	imposed	impose	VERB
ejpam-5327	264	18	on	on	ADP
ejpam-5327	264	19	the	the	DET
ejpam-5327	264	20	iteration	iteration	NOUN
ejpam-5327	264	21	parameters	parameter	NOUN
ejpam-5327	264	22	in	in	ADP
ejpam-5327	264	23	theorem	theorem	NOUN
ejpam-5327	264	24	7	7	NUM
ejpam-5327	264	25	.	.	NOUN
ejpam-5327	264	26	5	5	NUM
ejpam-5327	264	27	.	.	NOUN
ejpam-5327	264	28	numerical	numerical	ADJ
ejpam-5327	264	29	examples	example	NOUN
ejpam-5327	264	30	in	in	ADP
ejpam-5327	264	31	this	this	DET
ejpam-5327	264	32	section	section	NOUN
ejpam-5327	264	33	,	,	PUNCT
ejpam-5327	264	34	we	we	PRON
ejpam-5327	264	35	demonstrate	demonstrate	VERB
ejpam-5327	264	36	the	the	DET
ejpam-5327	264	37	efficiency	efficiency	NOUN
ejpam-5327	264	38	of	of	ADP
ejpam-5327	264	39	our	our	PRON
ejpam-5327	264	40	algorithm	algorithm	NOUN
ejpam-5327	264	41	4	4	NUM
ejpam-5327	264	42	with	with	ADP
ejpam-5327	264	43	the	the	DET
ejpam-5327	264	44	aid	aid	NOUN
ejpam-5327	264	45	of	of	ADP
ejpam-5327	264	46	numerical	numerical	ADJ
ejpam-5327	264	47	experiments	experiment	NOUN
ejpam-5327	264	48	.	.	PUNCT
ejpam-5327	265	1	furthermore	furthermore	ADV
ejpam-5327	265	2	,	,	PUNCT
ejpam-5327	265	3	we	we	PRON
ejpam-5327	265	4	compare	compare	VERB
ejpam-5327	265	5	our	our	PRON
ejpam-5327	265	6	iterative	iterative	NOUN
ejpam-5327	265	7	method	method	NOUN
ejpam-5327	265	8	with	with	ADP
ejpam-5327	265	9	the	the	DET
ejpam-5327	265	10	methods	method	NOUN
ejpam-5327	265	11	of	of	ADP
ejpam-5327	265	12	dong	dong	PROPN
ejpam-5327	265	13	at	at	ADP
ejpam-5327	265	14	al	al	PROPN
ejpam-5327	265	15	.	.	PUNCT
ejpam-5327	266	1	[	[	X
ejpam-5327	266	2	7	7	NUM
ejpam-5327	266	3	]	]	X
ejpam-5327	266	4	(	(	PUNCT
ejpam-5327	266	5	qial	qial	ADJ
ejpam-5327	266	6	-	-	PUNCT
ejpam-5327	266	7	li	li	NOUN
ejpam-5327	266	8	et	et	PROPN
ejpam-5327	266	9	al	al	PROPN
ejpam-5327	266	10	.	.	PROPN
ejpam-5327	266	11	3	3	NUM
ejpam-5327	266	12	)	)	PUNCT
ejpam-5327	266	13	and	and	CCONJ
ejpam-5327	266	14	mainge	mainge	VERB
ejpam-5327	266	15	.	.	PUNCT
ejpam-5327	267	1	[	[	X
ejpam-5327	267	2	18	18	NUM
ejpam-5327	267	3	]	]	PUNCT
ejpam-5327	267	4	(	(	PUNCT
ejpam-5327	267	5	mainge	mainge	NOUN
ejpam-5327	267	6	2	2	NUM
ejpam-5327	267	7	)	)	PUNCT
ejpam-5327	267	8	.	.	PUNCT
ejpam-5327	268	1	in	in	ADP
ejpam-5327	268	2	all	all	DET
ejpam-5327	268	3	the	the	DET
ejpam-5327	268	4	numerical	numerical	ADJ
ejpam-5327	268	5	implementations	implementation	NOUN
ejpam-5327	268	6	,	,	PUNCT
ejpam-5327	268	7	we	we	PRON
ejpam-5327	268	8	choose	choose	VERB
ejpam-5327	268	9	the	the	DET
ejpam-5327	268	10	control	control	NOUN
ejpam-5327	268	11	sequence	sequence	NOUN
ejpam-5327	268	12	for	for	ADP
ejpam-5327	268	13	the	the	DET
ejpam-5327	268	14	algorithm	algorithm	NOUN
ejpam-5327	268	15	in	in	ADP
ejpam-5327	268	16	(	(	PUNCT
ejpam-5327	268	17	0	0	NUM
ejpam-5327	268	18	,	,	PUNCT
ejpam-5327	268	19	1	1	NUM
ejpam-5327	268	20	)	)	PUNCT
ejpam-5327	268	21	.	.	PUNCT
ejpam-5327	269	1	example	example	NOUN
ejpam-5327	270	1	1	1	NUM
ejpam-5327	270	2	.	.	PUNCT
ejpam-5327	270	3	let	let	VERB
ejpam-5327	270	4	h	h	NOUN
ejpam-5327	270	5	=	=	SYM
ejpam-5327	270	6	r4	r4	PROPN
ejpam-5327	270	7	,	,	PUNCT
ejpam-5327	270	8	endowed	endow	VERB
ejpam-5327	270	9	with	with	ADP
ejpam-5327	270	10	the	the	DET
ejpam-5327	270	11	inner	inner	ADJ
ejpam-5327	270	12	product	product	NOUN
ejpam-5327	270	13	⟨a	⟨a	PROPN
ejpam-5327	270	14	,	,	PUNCT
ejpam-5327	270	15	b⟩	b⟩	ADP
ejpam-5327	270	16	=	=	SYM
ejpam-5327	270	17	a1b1+a2b2+a3b3+a4b4	a1b1+a2b2+a3b3+a4b4	PROPN
ejpam-5327	270	18	and	and	CCONJ
ejpam-5327	270	19	the	the	DET
ejpam-5327	270	20	norm	norm	NOUN
ejpam-5327	270	21	||a||	||a||	ADV
ejpam-5327	270	22	=	=	SYM
ejpam-5327	270	23	(	(	PUNCT
ejpam-5327	270	24	∑4	∑4	PROPN
ejpam-5327	270	25	i=1	i=1	PROPN
ejpam-5327	270	26	|ai|2	|ai|2	PUNCT
ejpam-5327	270	27	)	)	PUNCT
ejpam-5327	270	28	1	1	NUM
ejpam-5327	270	29	2	2	NUM
ejpam-5327	270	30	for	for	ADP
ejpam-5327	270	31	all	all	DET
ejpam-5327	270	32	a	a	DET
ejpam-5327	270	33	=	=	PUNCT
ejpam-5327	270	34	(	(	PUNCT
ejpam-5327	270	35	a1	a1	PROPN
ejpam-5327	270	36	,	,	PUNCT
ejpam-5327	270	37	a2	a2	PROPN
ejpam-5327	270	38	,	,	PUNCT
ejpam-5327	270	39	a3	a3	NOUN
ejpam-5327	270	40	,	,	PUNCT
ejpam-5327	270	41	a4	a4	PROPN
ejpam-5327	270	42	)	)	PUNCT
ejpam-5327	270	43	,	,	PUNCT
ejpam-5327	270	44	b	b	X
ejpam-5327	270	45	=	=	SYM
ejpam-5327	270	46	(	(	PUNCT
ejpam-5327	270	47	b1	b1	PROPN
ejpam-5327	270	48	,	,	PUNCT
ejpam-5327	270	49	b2	b2	NOUN
ejpam-5327	270	50	,	,	PUNCT
ejpam-5327	270	51	b3	b3	NOUN
ejpam-5327	270	52	,	,	PUNCT
ejpam-5327	270	53	b4	b4	NOUN
ejpam-5327	270	54	)	)	PUNCT
ejpam-5327	270	55	∈	∈	PROPN
ejpam-5327	270	56	r4	r4	NOUN
ejpam-5327	270	57	.	.	PUNCT
ejpam-5327	271	1	define	define	VERB
ejpam-5327	271	2	t	t	PROPN
ejpam-5327	271	3	:	:	PUNCT
ejpam-5327	271	4	r4	r4	PROPN
ejpam-5327	271	5	→	→	SYM
ejpam-5327	271	6	r4	r4	PROPN
ejpam-5327	271	7	as	as	SCONJ
ejpam-5327	271	8	follows	follow	VERB
ejpam-5327	271	9	:	:	PUNCT
ejpam-5327	271	10	t⊣	t⊣	PROPN
ejpam-5327	271	11	=	=	SYM
ejpam-5327	271	12	(	(	PUNCT
ejpam-5327	271	13	a1	a1	PROPN
ejpam-5327	271	14	,	,	PUNCT
ejpam-5327	271	15	1	1	NUM
ejpam-5327	271	16	+	+	NUM
ejpam-5327	271	17	a2	a2	PROPN
ejpam-5327	271	18	2	2	NUM
ejpam-5327	271	19	,	,	PUNCT
ejpam-5327	271	20	1	1	NUM
ejpam-5327	271	21	+	+	NUM
ejpam-5327	271	22	a3	a3	NOUN
ejpam-5327	271	23	3	3	NUM
ejpam-5327	271	24	,	,	PUNCT
ejpam-5327	271	25	a4	a4	NOUN
ejpam-5327	271	26	2	2	NUM
ejpam-5327	271	27	)	)	PUNCT
ejpam-5327	271	28	,	,	PUNCT
ejpam-5327	271	29	∀	∀	X
ejpam-5327	271	30	a	a	DET
ejpam-5327	271	31	=	=	PUNCT
ejpam-5327	271	32	(	(	PUNCT
ejpam-5327	271	33	a1	a1	PROPN
ejpam-5327	271	34	,	,	PUNCT
ejpam-5327	271	35	a2	a2	PROPN
ejpam-5327	271	36	,	,	PUNCT
ejpam-5327	271	37	a3	a3	NOUN
ejpam-5327	271	38	,	,	PUNCT
ejpam-5327	271	39	a4	a4	NUM
ejpam-5327	271	40	)	)	PUNCT
ejpam-5327	271	41	∈	∈	PROPN
ejpam-5327	271	42	r4	r4	NOUN
ejpam-5327	271	43	.	.	PUNCT
ejpam-5327	272	1	then	then	ADV
ejpam-5327	272	2	,	,	PUNCT
ejpam-5327	272	3	clearly	clearly	ADV
ejpam-5327	272	4	fix(t	fix(t	X
ejpam-5327	272	5	)	)	PUNCT
ejpam-5327	273	1	=	=	PRON
ejpam-5327	273	2	{	{	PUNCT
ejpam-5327	273	3	(	(	PUNCT
ejpam-5327	273	4	0	0	NUM
ejpam-5327	273	5	,	,	PUNCT
ejpam-5327	273	6	2	2	NUM
ejpam-5327	273	7	,	,	PUNCT
ejpam-5327	273	8	32	32	NUM
ejpam-5327	273	9	,	,	PUNCT
ejpam-5327	273	10	0	0	NUM
ejpam-5327	273	11	)	)	PUNCT
ejpam-5327	273	12	}	}	PUNCT
ejpam-5327	273	13	and	and	CCONJ
ejpam-5327	273	14	for	for	ADP
ejpam-5327	273	15	all	all	DET
ejpam-5327	273	16	a	a	DET
ejpam-5327	273	17	,	,	PUNCT
ejpam-5327	273	18	b	b	PROPN
ejpam-5327	273	19	∈	∈	PROPN
ejpam-5327	273	20	r4	r4	NOUN
ejpam-5327	273	21	,	,	PUNCT
ejpam-5327	273	22	it	it	PRON
ejpam-5327	273	23	is	be	AUX
ejpam-5327	273	24	easy	easy	ADJ
ejpam-5327	273	25	to	to	PART
ejpam-5327	273	26	see	see	VERB
ejpam-5327	273	27	that	that	PRON
ejpam-5327	273	28	t	t	PROPN
ejpam-5327	273	29	is	be	AUX
ejpam-5327	273	30	nonexpansive	nonexpansive	ADJ
ejpam-5327	273	31	mapping	mapping	NOUN
ejpam-5327	273	32	.	.	PUNCT
ejpam-5327	274	1	we	we	PRON
ejpam-5327	274	2	test	test	VERB
ejpam-5327	274	3	the	the	DET
ejpam-5327	274	4	algorithm	algorithm	NOUN
ejpam-5327	274	5	using	use	VERB
ejpam-5327	274	6	the	the	DET
ejpam-5327	274	7	following	following	ADJ
ejpam-5327	274	8	initial	initial	ADJ
ejpam-5327	274	9	points	point	NOUN
ejpam-5327	274	10	:	:	PUNCT
ejpam-5327	274	11	case	case	NOUN
ejpam-5327	274	12	i	i	PRON
ejpam-5327	274	13	:	:	PUNCT
ejpam-5327	274	14	a0	a0	PROPN
ejpam-5327	274	15	=	=	SYM
ejpam-5327	274	16	(	(	PUNCT
ejpam-5327	274	17	2	2	NUM
ejpam-5327	274	18	,	,	PUNCT
ejpam-5327	274	19	2	2	NUM
ejpam-5327	274	20	,	,	PUNCT
ejpam-5327	274	21	2	2	NUM
ejpam-5327	274	22	,	,	PUNCT
ejpam-5327	274	23	2)′	2)′	NUM
ejpam-5327	274	24	,	,	PUNCT
ejpam-5327	274	25	a1	a1	NOUN
ejpam-5327	274	26	=	=	SYM
ejpam-5327	274	27	(	(	PUNCT
ejpam-5327	274	28	5	5	NUM
ejpam-5327	274	29	,	,	PUNCT
ejpam-5327	274	30	5	5	NUM
ejpam-5327	274	31	,	,	PUNCT
ejpam-5327	274	32	5	5	NUM
ejpam-5327	274	33	,	,	PUNCT
ejpam-5327	274	34	5)′	5)′	NUM
ejpam-5327	274	35	;	;	PUNCT
ejpam-5327	274	36	case	case	NOUN
ejpam-5327	274	37	ii	ii	PROPN
ejpam-5327	274	38	:	:	PUNCT
ejpam-5327	274	39	a0	a0	PROPN
ejpam-5327	274	40	=	=	SYM
ejpam-5327	274	41	(	(	PUNCT
ejpam-5327	274	42	1	1	NUM
ejpam-5327	274	43	,	,	PUNCT
ejpam-5327	274	44	3	3	NUM
ejpam-5327	274	45	,	,	PUNCT
ejpam-5327	274	46	3	3	NUM
ejpam-5327	274	47	,	,	PUNCT
ejpam-5327	274	48	1)′	1)′	ADJ
ejpam-5327	274	49	,	,	PUNCT
ejpam-5327	274	50	a1	a1	NOUN
ejpam-5327	274	51	=	=	SYM
ejpam-5327	274	52	(	(	PUNCT
ejpam-5327	274	53	0.5	0.5	NUM
ejpam-5327	274	54	,	,	PUNCT
ejpam-5327	274	55	1	1	NUM
ejpam-5327	274	56	,	,	PUNCT
ejpam-5327	274	57	1.5	1.5	NUM
ejpam-5327	274	58	,	,	PUNCT
ejpam-5327	274	59	3)′	3)′	NUM
ejpam-5327	274	60	;	;	PUNCT
ejpam-5327	274	61	case	case	NOUN
ejpam-5327	274	62	iii	iii	NOUN
ejpam-5327	274	63	:	:	PUNCT
ejpam-5327	274	64	a0	a0	PROPN
ejpam-5327	274	65	=	=	SYM
ejpam-5327	274	66	(	(	PUNCT
ejpam-5327	274	67	2	2	NUM
ejpam-5327	274	68	,	,	PUNCT
ejpam-5327	274	69	0	0	NUM
ejpam-5327	274	70	,	,	PUNCT
ejpam-5327	274	71	0	0	NUM
ejpam-5327	274	72	,	,	PUNCT
ejpam-5327	274	73	2)′	2)′	NOUN
ejpam-5327	274	74	,	,	PUNCT
ejpam-5327	274	75	a1	a1	NOUN
ejpam-5327	274	76	=	=	SYM
ejpam-5327	274	77	(	(	PUNCT
ejpam-5327	274	78	8	8	NUM
ejpam-5327	274	79	,	,	PUNCT
ejpam-5327	274	80	3	3	NUM
ejpam-5327	274	81	,	,	PUNCT
ejpam-5327	274	82	3	3	NUM
ejpam-5327	274	83	,	,	PUNCT
ejpam-5327	274	84	8)′	8)′	NUM
ejpam-5327	274	85	;	;	PUNCT
ejpam-5327	274	86	case	case	NOUN
ejpam-5327	274	87	iv	iv	X
ejpam-5327	274	88	:	:	PUNCT
ejpam-5327	274	89	a0	a0	PROPN
ejpam-5327	274	90	=	=	SYM
ejpam-5327	274	91	(	(	PUNCT
ejpam-5327	274	92	3	3	NUM
ejpam-5327	274	93	,	,	PUNCT
ejpam-5327	274	94	3	3	NUM
ejpam-5327	274	95	,	,	PUNCT
ejpam-5327	274	96	3	3	NUM
ejpam-5327	274	97	,	,	PUNCT
ejpam-5327	274	98	4)′	4)′	NOUN
ejpam-5327	274	99	,	,	PUNCT
ejpam-5327	274	100	a1	a1	NOUN
ejpam-5327	274	101	=	=	SYM
ejpam-5327	274	102	(	(	PUNCT
ejpam-5327	274	103	9	9	NUM
ejpam-5327	274	104	,	,	PUNCT
ejpam-5327	274	105	9	9	NUM
ejpam-5327	274	106	,	,	PUNCT
ejpam-5327	274	107	9	9	NUM
ejpam-5327	274	108	,	,	PUNCT
ejpam-5327	274	109	8)′.	8)′.	NUM
ejpam-5327	274	110	we	we	PRON
ejpam-5327	274	111	use	use	VERB
ejpam-5327	274	112	||an+1−an||	||an+1−an||	VERB
ejpam-5327	274	113	<	<	X
ejpam-5327	274	114	10−4	10−4	NUM
ejpam-5327	274	115	as	as	ADP
ejpam-5327	274	116	the	the	DET
ejpam-5327	274	117	stopping	stopping	NOUN
ejpam-5327	274	118	criterion	criterion	NOUN
ejpam-5327	274	119	.	.	PUNCT
ejpam-5327	275	1	the	the	DET
ejpam-5327	275	2	numerical	numerical	ADJ
ejpam-5327	275	3	results	result	NOUN
ejpam-5327	275	4	are	be	AUX
ejpam-5327	275	5	shown	show	VERB
ejpam-5327	275	6	in	in	ADP
ejpam-5327	275	7	table	table	NOUN
ejpam-5327	275	8	1	1	NUM
ejpam-5327	275	9	and	and	CCONJ
ejpam-5327	275	10	figure	figure	VERB
ejpam-5327	275	11	1	1	NUM
ejpam-5327	275	12	.	.	PUNCT
ejpam-5327	275	13	g.	g.	PROPN
ejpam-5327	275	14	c.	c.	PROPN
ejpam-5327	275	15	ugwunnadi	ugwunnadi	PROPN
ejpam-5327	275	16	et	et	PROPN
ejpam-5327	275	17	al	al	PROPN
ejpam-5327	275	18	.	.	PUNCT
ejpam-5327	275	19	/	/	SYM
ejpam-5327	275	20	eur	eur	PROPN
ejpam-5327	275	21	.	.	PUNCT
ejpam-5327	276	1	j.	j.	PROPN
ejpam-5327	276	2	pure	pure	PROPN
ejpam-5327	276	3	appl	appl	PROPN
ejpam-5327	276	4	.	.	PROPN
ejpam-5327	276	5	math	math	PROPN
ejpam-5327	276	6	,	,	PUNCT
ejpam-5327	276	7	17	17	NUM
ejpam-5327	276	8	(	(	PUNCT
ejpam-5327	276	9	3	3	NUM
ejpam-5327	276	10	)	)	PUNCT
ejpam-5327	276	11	(	(	PUNCT
ejpam-5327	276	12	2024	2024	NUM
ejpam-5327	276	13	)	)	PUNCT
ejpam-5327	276	14	,	,	PUNCT
ejpam-5327	276	15	2246	2246	NUM
ejpam-5327	276	16	-	-	SYM
ejpam-5327	276	17	2263	2263	NUM
ejpam-5327	276	18	2258	2258	NUM
ejpam-5327	276	19	table	table	NOUN
ejpam-5327	276	20	1	1	NUM
ejpam-5327	276	21	:	:	PUNCT
ejpam-5327	276	22	comparison	comparison	NOUN
ejpam-5327	276	23	of	of	ADP
ejpam-5327	276	24	algorithm	algorithm	NOUN
ejpam-5327	276	25	4	4	NUM
ejpam-5327	276	26	,	,	PUNCT
ejpam-5327	276	27	algorithm	algorithm	NOUN
ejpam-5327	276	28	3	3	NUM
ejpam-5327	276	29	,	,	PUNCT
ejpam-5327	276	30	and	and	CCONJ
ejpam-5327	276	31	algorithm	algorithm	NOUN
ejpam-5327	276	32	2	2	NUM
ejpam-5327	276	33	.	.	PUNCT
ejpam-5327	277	1	cases	case	NOUN
ejpam-5327	277	2	algorithm	algorithm	NOUN
ejpam-5327	277	3	4	4	NUM
ejpam-5327	277	4	algorithm	algorithm	NOUN
ejpam-5327	277	5	3	3	NUM
ejpam-5327	277	6	algorithm	algorithm	NOUN
ejpam-5327	277	7	2	2	NUM
ejpam-5327	277	8	i	i	PRON
ejpam-5327	277	9	iter	iter	VERB
ejpam-5327	277	10	.	.	PUNCT
ejpam-5327	278	1	cpu	cpu	NOUN
ejpam-5327	278	2	(	(	PUNCT
ejpam-5327	278	3	time	time	NOUN
ejpam-5327	278	4	)	)	PUNCT
ejpam-5327	278	5	66	66	NUM
ejpam-5327	278	6	0.0048	0.0048	NUM
ejpam-5327	278	7	134	134	NUM
ejpam-5327	278	8	0.0050	0.0050	NUM
ejpam-5327	278	9	272	272	NUM
ejpam-5327	278	10	0.0062	0.0062	NUM
ejpam-5327	278	11	ii	ii	NUM
ejpam-5327	278	12	iter	iter	NOUN
ejpam-5327	278	13	.	.	PUNCT
ejpam-5327	279	1	cpu	cpu	NOUN
ejpam-5327	279	2	(	(	PUNCT
ejpam-5327	279	3	time	time	NOUN
ejpam-5327	279	4	)	)	PUNCT
ejpam-5327	279	5	63	63	NUM
ejpam-5327	279	6	0.0040	0.0040	NUM
ejpam-5327	279	7	128	128	NUM
ejpam-5327	279	8	0.0044	0.0044	NUM
ejpam-5327	279	9	254	254	NUM
ejpam-5327	279	10	0.0060	0.0060	NUM
ejpam-5327	279	11	iii	iii	NUM
ejpam-5327	279	12	iter	iter	NOUN
ejpam-5327	279	13	.	.	PUNCT
ejpam-5327	280	1	cpu	cpu	NOUN
ejpam-5327	280	2	(	(	PUNCT
ejpam-5327	280	3	time	time	NOUN
ejpam-5327	280	4	)	)	PUNCT
ejpam-5327	280	5	64	64	NUM
ejpam-5327	280	6	0.0041	0.0041	NUM
ejpam-5327	280	7	129	129	NUM
ejpam-5327	280	8	0.0058	0.0058	NUM
ejpam-5327	280	9	254	254	NUM
ejpam-5327	280	10	0.0062	0.0062	NUM
ejpam-5327	280	11	iv	iv	NUM
ejpam-5327	280	12	iter	iter	NOUN
ejpam-5327	280	13	.	.	PUNCT
ejpam-5327	281	1	cpu	cpu	NOUN
ejpam-5327	281	2	(	(	PUNCT
ejpam-5327	281	3	time	time	NOUN
ejpam-5327	281	4	)	)	PUNCT
ejpam-5327	281	5	69	69	NUM
ejpam-5327	281	6	0.0054	0.0054	NUM
ejpam-5327	281	7	141	141	NUM
ejpam-5327	281	8	0.0066	0.0066	NUM
ejpam-5327	281	9	285	285	NUM
ejpam-5327	281	10	0.0059	0.0059	NUM
ejpam-5327	281	11	0	0	NUM
ejpam-5327	282	1	50	50	NUM
ejpam-5327	282	2	100	100	NUM
ejpam-5327	282	3	150	150	NUM
ejpam-5327	282	4	200	200	NUM
ejpam-5327	282	5	250	250	NUM
ejpam-5327	282	6	300	300	NUM
ejpam-5327	282	7	number	number	NOUN
ejpam-5327	282	8	of	of	ADP
ejpam-5327	282	9	iterations	iteration	NOUN
ejpam-5327	282	10	10	10	NUM
ejpam-5327	282	11	-	-	SYM
ejpam-5327	282	12	10	10	NUM
ejpam-5327	282	13	10	10	NUM
ejpam-5327	282	14	-	-	SYM
ejpam-5327	282	15	8	8	NUM
ejpam-5327	282	16	10	10	NUM
ejpam-5327	282	17	-	-	SYM
ejpam-5327	282	18	6	6	NUM
ejpam-5327	282	19	10	10	NUM
ejpam-5327	282	20	-	-	SYM
ejpam-5327	282	21	4	4	NUM
ejpam-5327	282	22	10	10	NUM
ejpam-5327	282	23	-	-	SYM
ejpam-5327	282	24	2	2	NUM
ejpam-5327	282	25	100	100	NUM
ejpam-5327	282	26	102	102	NUM
ejpam-5327	282	27	t	t	NOUN
ejpam-5327	282	28	o	o	NOUN
ejpam-5327	282	29	l	l	NOUN
ejpam-5327	282	30	our	our	PRON
ejpam-5327	282	31	algorithm	algorithm	PROPN
ejpam-5327	282	32	qiao	qiao	PROPN
ejpam-5327	282	33	li	li	PROPN
ejpam-5327	282	34	et	et	PROPN
ejpam-5327	282	35	al	al	PROPN
ejpam-5327	282	36	mainge	mainge	VERB
ejpam-5327	282	37	0	0	NUM
ejpam-5327	282	38	50	50	NUM
ejpam-5327	282	39	100	100	NUM
ejpam-5327	282	40	150	150	NUM
ejpam-5327	282	41	200	200	NUM
ejpam-5327	282	42	250	250	NUM
ejpam-5327	282	43	300	300	NUM
ejpam-5327	282	44	number	number	NOUN
ejpam-5327	282	45	of	of	ADP
ejpam-5327	282	46	iterations	iteration	NOUN
ejpam-5327	282	47	10	10	NUM
ejpam-5327	282	48	-	-	SYM
ejpam-5327	282	49	10	10	NUM
ejpam-5327	282	50	10	10	NUM
ejpam-5327	282	51	-	-	SYM
ejpam-5327	282	52	8	8	NUM
ejpam-5327	282	53	10	10	NUM
ejpam-5327	282	54	-	-	SYM
ejpam-5327	282	55	6	6	NUM
ejpam-5327	282	56	10	10	NUM
ejpam-5327	282	57	-	-	SYM
ejpam-5327	282	58	4	4	NUM
ejpam-5327	282	59	10	10	NUM
ejpam-5327	282	60	-	-	SYM
ejpam-5327	282	61	2	2	NUM
ejpam-5327	282	62	100	100	NUM
ejpam-5327	282	63	102	102	NUM
ejpam-5327	282	64	t	t	NOUN
ejpam-5327	282	65	o	o	NOUN
ejpam-5327	282	66	l	l	NOUN
ejpam-5327	282	67	our	our	PRON
ejpam-5327	282	68	algorithm	algorithm	PROPN
ejpam-5327	282	69	qiao	qiao	PROPN
ejpam-5327	282	70	li	li	PROPN
ejpam-5327	282	71	et	et	PROPN
ejpam-5327	282	72	al	al	PROPN
ejpam-5327	282	73	mainge	mainge	VERB
ejpam-5327	282	74	0	0	NUM
ejpam-5327	282	75	50	50	NUM
ejpam-5327	282	76	100	100	NUM
ejpam-5327	282	77	150	150	NUM
ejpam-5327	282	78	200	200	NUM
ejpam-5327	282	79	250	250	NUM
ejpam-5327	282	80	300	300	NUM
ejpam-5327	282	81	number	number	NOUN
ejpam-5327	282	82	of	of	ADP
ejpam-5327	282	83	iterations	iteration	NOUN
ejpam-5327	282	84	10	10	NUM
ejpam-5327	282	85	-	-	SYM
ejpam-5327	282	86	10	10	NUM
ejpam-5327	282	87	10	10	NUM
ejpam-5327	282	88	-	-	SYM
ejpam-5327	282	89	8	8	NUM
ejpam-5327	282	90	10	10	NUM
ejpam-5327	282	91	-	-	SYM
ejpam-5327	282	92	6	6	NUM
ejpam-5327	282	93	10	10	NUM
ejpam-5327	282	94	-	-	SYM
ejpam-5327	282	95	4	4	NUM
ejpam-5327	282	96	10	10	NUM
ejpam-5327	282	97	-	-	SYM
ejpam-5327	282	98	2	2	NUM
ejpam-5327	282	99	100	100	NUM
ejpam-5327	282	100	102	102	NUM
ejpam-5327	282	101	t	t	NOUN
ejpam-5327	282	102	o	o	NOUN
ejpam-5327	282	103	l	l	NOUN
ejpam-5327	282	104	our	our	PRON
ejpam-5327	282	105	algorithm	algorithm	PROPN
ejpam-5327	282	106	qiao	qiao	PROPN
ejpam-5327	282	107	li	li	PROPN
ejpam-5327	282	108	et	et	PROPN
ejpam-5327	282	109	al	al	PROPN
ejpam-5327	282	110	mainge	mainge	VERB
ejpam-5327	282	111	0	0	NUM
ejpam-5327	282	112	50	50	NUM
ejpam-5327	282	113	100	100	NUM
ejpam-5327	282	114	150	150	NUM
ejpam-5327	282	115	200	200	NUM
ejpam-5327	282	116	250	250	NUM
ejpam-5327	282	117	300	300	NUM
ejpam-5327	282	118	number	number	NOUN
ejpam-5327	282	119	of	of	ADP
ejpam-5327	282	120	iterations	iteration	NOUN
ejpam-5327	282	121	10	10	NUM
ejpam-5327	282	122	-	-	SYM
ejpam-5327	282	123	10	10	NUM
ejpam-5327	282	124	10	10	NUM
ejpam-5327	282	125	-	-	SYM
ejpam-5327	282	126	8	8	NUM
ejpam-5327	282	127	10	10	NUM
ejpam-5327	282	128	-	-	SYM
ejpam-5327	282	129	6	6	NUM
ejpam-5327	282	130	10	10	NUM
ejpam-5327	282	131	-	-	SYM
ejpam-5327	282	132	4	4	NUM
ejpam-5327	282	133	10	10	NUM
ejpam-5327	282	134	-	-	SYM
ejpam-5327	282	135	2	2	NUM
ejpam-5327	282	136	100	100	NUM
ejpam-5327	282	137	102	102	NUM
ejpam-5327	282	138	t	t	NOUN
ejpam-5327	282	139	o	o	NOUN
ejpam-5327	282	140	l	l	NOUN
ejpam-5327	282	141	our	our	PRON
ejpam-5327	282	142	algorithm	algorithm	PROPN
ejpam-5327	282	143	qiao	qiao	PROPN
ejpam-5327	282	144	li	li	PROPN
ejpam-5327	282	145	et	et	PROPN
ejpam-5327	282	146	al	al	PROPN
ejpam-5327	282	147	mainge	mainge	NOUN
ejpam-5327	282	148	figure	figure	NOUN
ejpam-5327	282	149	1	1	NUM
ejpam-5327	282	150	:	:	PUNCT
ejpam-5327	282	151	example	example	NOUN
ejpam-5327	282	152	1	1	NUM
ejpam-5327	282	153	.	.	X
ejpam-5327	282	154	top	top	NOUN
ejpam-5327	282	155	left	left	ADJ
ejpam-5327	282	156	:	:	PUNCT
ejpam-5327	282	157	case	case	NOUN
ejpam-5327	282	158	i	i	PRON
ejpam-5327	282	159	;	;	PUNCT
ejpam-5327	282	160	top	top	ADJ
ejpam-5327	282	161	right	right	NOUN
ejpam-5327	282	162	:	:	PUNCT
ejpam-5327	282	163	case	case	NOUN
ejpam-5327	282	164	ii	ii	NOUN
ejpam-5327	282	165	;	;	PUNCT
ejpam-5327	282	166	bottom	bottom	NOUN
ejpam-5327	282	167	left	leave	VERB
ejpam-5327	282	168	:	:	PUNCT
ejpam-5327	282	169	case	case	NOUN
ejpam-5327	282	170	iii	iii	NOUN
ejpam-5327	282	171	;	;	PUNCT
ejpam-5327	282	172	bottom	bottom	ADJ
ejpam-5327	282	173	right	right	NOUN
ejpam-5327	282	174	:	:	PUNCT
ejpam-5327	282	175	case	case	NOUN
ejpam-5327	282	176	iv	iv	NUM
ejpam-5327	282	177	.	.	PUNCT
ejpam-5327	282	178	example	example	NOUN
ejpam-5327	283	1	2	2	NUM
ejpam-5327	283	2	.	.	PUNCT
ejpam-5327	284	1	let	let	VERB
ejpam-5327	284	2	h	h	NOUN
ejpam-5327	284	3	=	=	SYM
ejpam-5327	284	4	l2[0	l2[0	PROPN
ejpam-5327	284	5	,	,	PUNCT
ejpam-5327	284	6	1	1	NUM
ejpam-5327	284	7	]	]	PUNCT
ejpam-5327	284	8	and	and	CCONJ
ejpam-5327	284	9	k	k	PROPN
ejpam-5327	285	1	=	=	X
ejpam-5327	285	2	{	{	PUNCT
ejpam-5327	285	3	a	a	DET
ejpam-5327	285	4	∈	∈	PROPN
ejpam-5327	285	5	l2[0	l2[0	PROPN
ejpam-5327	285	6	,	,	PUNCT
ejpam-5327	285	7	1	1	NUM
ejpam-5327	285	8	]	]	PUNCT
ejpam-5327	285	9	:	:	PUNCT
ejpam-5327	285	10	⟨x	⟨x	VERB
ejpam-5327	285	11	,	,	PUNCT
ejpam-5327	285	12	a⟩	a⟩	VERB
ejpam-5327	285	13	≤	≤	PUNCT
ejpam-5327	285	14	y	y	NOUN
ejpam-5327	285	15	}	}	PUNCT
ejpam-5327	285	16	,	,	PUNCT
ejpam-5327	285	17	where	where	SCONJ
ejpam-5327	285	18	x	x	X
ejpam-5327	285	19	=	=	SYM
ejpam-5327	285	20	t2	t2	NOUN
ejpam-5327	285	21	+	+	CCONJ
ejpam-5327	285	22	1	1	NUM
ejpam-5327	285	23	and	and	CCONJ
ejpam-5327	285	24	y	y	NOUN
ejpam-5327	285	25	=	=	SYM
ejpam-5327	285	26	1	1	NUM
ejpam-5327	285	27	,	,	PUNCT
ejpam-5327	285	28	with	with	ADP
ejpam-5327	285	29	norm	norm	NOUN
ejpam-5327	285	30	||a||	||a||	ADV
ejpam-5327	285	31	=	=	SYM
ejpam-5327	285	32	√∫	√∫	ADJ
ejpam-5327	285	33	1	1	NUM
ejpam-5327	285	34	0	0	NUM
ejpam-5327	285	35	|a(t)|2dt	|a(t)|2dt	NOUN
ejpam-5327	285	36	and	and	CCONJ
ejpam-5327	285	37	inner	inner	ADJ
ejpam-5327	285	38	product	product	NOUN
ejpam-5327	285	39	⟨a	⟨a	PROPN
ejpam-5327	285	40	,	,	PUNCT
ejpam-5327	285	41	b⟩	b⟩	ADP
ejpam-5327	285	42	=	=	NOUN
ejpam-5327	285	43	∫	∫	PROPN
ejpam-5327	285	44	t	t	PROPN
ejpam-5327	285	45	0	0	NUM
ejpam-5327	285	46	a(t)b(t)dt	a(t)b(t)dt	PROPN
ejpam-5327	285	47	,	,	PUNCT
ejpam-5327	285	48	for	for	ADP
ejpam-5327	285	49	all	all	DET
ejpam-5327	285	50	g.	g.	PROPN
ejpam-5327	285	51	c.	c.	PROPN
ejpam-5327	285	52	ugwunnadi	ugwunnadi	PROPN
ejpam-5327	285	53	et	et	PROPN
ejpam-5327	285	54	al	al	PROPN
ejpam-5327	285	55	.	.	PUNCT
ejpam-5327	285	56	/	/	SYM
ejpam-5327	285	57	eur	eur	PROPN
ejpam-5327	285	58	.	.	PUNCT
ejpam-5327	286	1	j.	j.	PROPN
ejpam-5327	286	2	pure	pure	PROPN
ejpam-5327	286	3	appl	appl	PROPN
ejpam-5327	286	4	.	.	PROPN
ejpam-5327	286	5	math	math	PROPN
ejpam-5327	286	6	,	,	PUNCT
ejpam-5327	286	7	17	17	NUM
ejpam-5327	286	8	(	(	PUNCT
ejpam-5327	286	9	3	3	NUM
ejpam-5327	286	10	)	)	PUNCT
ejpam-5327	286	11	(	(	PUNCT
ejpam-5327	286	12	2024	2024	NUM
ejpam-5327	286	13	)	)	PUNCT
ejpam-5327	286	14	,	,	PUNCT
ejpam-5327	286	15	2246	2246	NUM
ejpam-5327	286	16	-	-	SYM
ejpam-5327	286	17	2263	2263	NUM
ejpam-5327	286	18	2259	2259	NUM
ejpam-5327	286	19	table	table	NOUN
ejpam-5327	286	20	2	2	NUM
ejpam-5327	286	21	:	:	PUNCT
ejpam-5327	286	22	comparison	comparison	NOUN
ejpam-5327	286	23	of	of	ADP
ejpam-5327	286	24	algorithm	algorithm	NOUN
ejpam-5327	286	25	4	4	NUM
ejpam-5327	286	26	,	,	PUNCT
ejpam-5327	286	27	algorithm	algorithm	NOUN
ejpam-5327	286	28	3	3	NUM
ejpam-5327	286	29	,	,	PUNCT
ejpam-5327	286	30	and	and	CCONJ
ejpam-5327	286	31	algorithm	algorithm	NOUN
ejpam-5327	286	32	2	2	NUM
ejpam-5327	286	33	.	.	PUNCT
ejpam-5327	287	1	cases	case	NOUN
ejpam-5327	287	2	algorithm	algorithm	NOUN
ejpam-5327	287	3	4	4	NUM
ejpam-5327	287	4	algorithm	algorithm	NOUN
ejpam-5327	287	5	3	3	NUM
ejpam-5327	287	6	algorithm	algorithm	NOUN
ejpam-5327	287	7	2	2	NUM
ejpam-5327	287	8	1	1	NUM
ejpam-5327	287	9	iter	iter	NOUN
ejpam-5327	287	10	.	.	PUNCT
ejpam-5327	288	1	cpu	cpu	NOUN
ejpam-5327	288	2	(	(	PUNCT
ejpam-5327	288	3	time	time	NOUN
ejpam-5327	288	4	)	)	PUNCT
ejpam-5327	288	5	9	9	NUM
ejpam-5327	288	6	2.4041	2.4041	NUM
ejpam-5327	288	7	47	47	NUM
ejpam-5327	288	8	5.9585	5.9585	NUM
ejpam-5327	288	9	45	45	NUM
ejpam-5327	288	10	5.2037	5.2037	NUM
ejpam-5327	288	11	2	2	NUM
ejpam-5327	288	12	iter	iter	NOUN
ejpam-5327	288	13	.	.	PUNCT
ejpam-5327	289	1	cpu	cpu	NOUN
ejpam-5327	289	2	(	(	PUNCT
ejpam-5327	289	3	time	time	NOUN
ejpam-5327	289	4	)	)	PUNCT
ejpam-5327	289	5	9	9	NUM
ejpam-5327	289	6	2.1578	2.1578	NUM
ejpam-5327	289	7	48	48	NUM
ejpam-5327	289	8	4.9429	4.9429	NUM
ejpam-5327	289	9	77	77	NUM
ejpam-5327	289	10	4.2328	4.2328	NUM
ejpam-5327	289	11	3	3	NUM
ejpam-5327	289	12	iter	iter	NOUN
ejpam-5327	289	13	.	.	PUNCT
ejpam-5327	290	1	cpu	cpu	NOUN
ejpam-5327	290	2	(	(	PUNCT
ejpam-5327	290	3	time	time	NOUN
ejpam-5327	290	4	)	)	PUNCT
ejpam-5327	290	5	10	10	NUM
ejpam-5327	290	6	5.9832	5.9832	NUM
ejpam-5327	290	7	54	54	NUM
ejpam-5327	290	8	12.9400	12.9400	NUM
ejpam-5327	290	9	51	51	NUM
ejpam-5327	290	10	12.7028	12.7028	NUM
ejpam-5327	290	11	4	4	NUM
ejpam-5327	290	12	iter	iter	NOUN
ejpam-5327	290	13	.	.	PUNCT
ejpam-5327	291	1	cpu	cpu	NOUN
ejpam-5327	291	2	(	(	PUNCT
ejpam-5327	291	3	time	time	NOUN
ejpam-5327	291	4	)	)	PUNCT
ejpam-5327	291	5	9	9	NUM
ejpam-5327	291	6	3.3125	3.3125	NUM
ejpam-5327	291	7	50	50	NUM
ejpam-5327	291	8	8.8200	8.8200	NUM
ejpam-5327	291	9	48	48	NUM
ejpam-5327	291	10	8.0401	8.0401	NUM
ejpam-5327	291	11	a	a	PRON
ejpam-5327	291	12	,	,	PUNCT
ejpam-5327	291	13	b	b	X
ejpam-5327	291	14	∈	∈	PROPN
ejpam-5327	291	15	l2([0	l2([0	VERB
ejpam-5327	291	16	,	,	PUNCT
ejpam-5327	291	17	1	1	NUM
ejpam-5327	291	18	]	]	NUM
ejpam-5327	291	19	)	)	PUNCT
ejpam-5327	291	20	,	,	PUNCT
ejpam-5327	291	21	t	t	PROPN
ejpam-5327	291	22	∈	∈	PROPN
ejpam-5327	292	1	[	[	X
ejpam-5327	292	2	0	0	NUM
ejpam-5327	292	3	,	,	PUNCT
ejpam-5327	292	4	1	1	NUM
ejpam-5327	292	5	]	]	PUNCT
ejpam-5327	292	6	.	.	PUNCT
ejpam-5327	293	1	define	define	VERB
ejpam-5327	293	2	metric	metric	ADJ
ejpam-5327	293	3	projection	projection	NOUN
ejpam-5327	293	4	pk	pk	NOUN
ejpam-5327	293	5	as	as	SCONJ
ejpam-5327	293	6	follows	follow	VERB
ejpam-5327	293	7	:	:	PUNCT
ejpam-5327	293	8	pk(a	pk(a	X
ejpam-5327	293	9	)	)	PUNCT
ejpam-5327	294	1	=	=	SYM
ejpam-5327	294	2			NOUN
ejpam-5327	294	3	x	x	X
ejpam-5327	294	4	,	,	PUNCT
ejpam-5327	294	5	if	if	SCONJ
ejpam-5327	294	6	x	x	PROPN
ejpam-5327	294	7	∈	∈	PROPN
ejpam-5327	294	8	k	k	PROPN
ejpam-5327	294	9	y−⟨x	y−⟨x	PROPN
ejpam-5327	294	10	,	,	PUNCT
ejpam-5327	294	11	a⟩	a⟩	VERB
ejpam-5327	294	12	||x||l2	||x||l2	NOUN
ejpam-5327	294	13	x+	x+	NUM
ejpam-5327	294	14	a	a	PRON
ejpam-5327	294	15	,	,	PUNCT
ejpam-5327	294	16	otherwise	otherwise	ADV
ejpam-5327	294	17	.	.	PUNCT
ejpam-5327	295	1	(	(	PUNCT
ejpam-5327	295	2	19	19	NUM
ejpam-5327	295	3	)	)	PUNCT
ejpam-5327	295	4	since	since	SCONJ
ejpam-5327	295	5	every	every	DET
ejpam-5327	295	6	projection	projection	NOUN
ejpam-5327	295	7	mapping	mapping	NOUN
ejpam-5327	295	8	is	be	AUX
ejpam-5327	295	9	nonexpansive	nonexpansive	ADJ
ejpam-5327	295	10	,	,	PUNCT
ejpam-5327	295	11	then	then	ADV
ejpam-5327	295	12	pk	pk	NOUN
ejpam-5327	295	13	is	be	AUX
ejpam-5327	295	14	nonexpansive	nonexpansive	ADJ
ejpam-5327	295	15	mapping	mapping	NOUN
ejpam-5327	295	16	.	.	PUNCT
ejpam-5327	296	1	we	we	PRON
ejpam-5327	296	2	define	define	VERB
ejpam-5327	296	3	the	the	DET
ejpam-5327	296	4	sequence	sequence	NOUN
ejpam-5327	296	5	toln	toln	NOUN
ejpam-5327	296	6	:	:	PUNCT
ejpam-5327	296	7	=	=	SYM
ejpam-5327	296	8	||an+1	||an+1	NOUN
ejpam-5327	296	9	−	−	NOUN
ejpam-5327	296	10	an||2	an||2	ADV
ejpam-5327	296	11	and	and	CCONJ
ejpam-5327	296	12	apply	apply	VERB
ejpam-5327	296	13	the	the	DET
ejpam-5327	296	14	stopping	stopping	NOUN
ejpam-5327	296	15	criterion	criterion	NOUN
ejpam-5327	296	16	toln	toln	NOUN
ejpam-5327	296	17	<	<	X
ejpam-5327	296	18	ε	ε	PROPN
ejpam-5327	296	19	for	for	ADP
ejpam-5327	296	20	the	the	DET
ejpam-5327	296	21	iterative	iterative	NOUN
ejpam-5327	296	22	processes	process	NOUN
ejpam-5327	296	23	because	because	SCONJ
ejpam-5327	296	24	the	the	DET
ejpam-5327	296	25	solution	solution	NOUN
ejpam-5327	296	26	to	to	ADP
ejpam-5327	296	27	the	the	DET
ejpam-5327	296	28	problem	problem	NOUN
ejpam-5327	296	29	is	be	AUX
ejpam-5327	296	30	unknown	unknown	ADJ
ejpam-5327	296	31	.	.	PUNCT
ejpam-5327	297	1	ε	ε	PROPN
ejpam-5327	297	2	is	be	AUX
ejpam-5327	297	3	the	the	DET
ejpam-5327	297	4	predetermined	predetermine	VERB
ejpam-5327	297	5	error	error	NOUN
ejpam-5327	297	6	.	.	PUNCT
ejpam-5327	298	1	here	here	ADV
ejpam-5327	298	2	,	,	PUNCT
ejpam-5327	298	3	the	the	DET
ejpam-5327	298	4	terminating	terminate	VERB
ejpam-5327	298	5	condition	condition	NOUN
ejpam-5327	298	6	is	be	AUX
ejpam-5327	298	7	set	set	VERB
ejpam-5327	298	8	to	to	PART
ejpam-5327	298	9	ε	ε	PROPN
ejpam-5327	298	10	=	=	SYM
ejpam-5327	298	11	10−5	10−5	NUM
ejpam-5327	298	12	.	.	PUNCT
ejpam-5327	299	1	for	for	ADP
ejpam-5327	299	2	the	the	DET
ejpam-5327	299	3	numerical	numerical	ADJ
ejpam-5327	299	4	experiments	experiment	NOUN
ejpam-5327	299	5	illustrated	illustrate	VERB
ejpam-5327	299	6	in	in	ADP
ejpam-5327	299	7	figure	figure	NOUN
ejpam-5327	299	8	2	2	NUM
ejpam-5327	299	9	and	and	CCONJ
ejpam-5327	299	10	table	table	NOUN
ejpam-5327	299	11	2	2	NUM
ejpam-5327	299	12	below	below	ADV
ejpam-5327	299	13	,	,	PUNCT
ejpam-5327	299	14	we	we	PRON
ejpam-5327	299	15	take	take	VERB
ejpam-5327	299	16	into	into	ADP
ejpam-5327	299	17	consideration	consideration	NOUN
ejpam-5327	299	18	the	the	DET
ejpam-5327	299	19	resulting	result	VERB
ejpam-5327	299	20	cases	case	NOUN
ejpam-5327	299	21	.	.	PUNCT
ejpam-5327	300	1	case	case	NOUN
ejpam-5327	300	2	1	1	NUM
ejpam-5327	300	3	:	:	PUNCT
ejpam-5327	300	4	a0	a0	NOUN
ejpam-5327	300	5	=	=	PUNCT
ejpam-5327	300	6	sin	sin	PROPN
ejpam-5327	300	7	t	t	PROPN
ejpam-5327	300	8	and	and	CCONJ
ejpam-5327	300	9	a1	a1	NOUN
ejpam-5327	300	10	=	=	PROPN
ejpam-5327	300	11	t2	t2	PROPN
ejpam-5327	300	12	+	+	CCONJ
ejpam-5327	300	13	t.	t.	NOUN
ejpam-5327	300	14	case	case	NOUN
ejpam-5327	300	15	2	2	NUM
ejpam-5327	300	16	:	:	PUNCT
ejpam-5327	300	17	a0	a0	PROPN
ejpam-5327	300	18	=	=	SYM
ejpam-5327	300	19	cos	cos	PROPN
ejpam-5327	300	20	t	t	PROPN
ejpam-5327	300	21	and	and	CCONJ
ejpam-5327	300	22	a1	a1	PROPN
ejpam-5327	300	23	=	=	PROPN
ejpam-5327	300	24	t3	t3	PROPN
ejpam-5327	300	25	+	+	CCONJ
ejpam-5327	300	26	2	2	NUM
ejpam-5327	300	27	t.	t.	NOUN
ejpam-5327	300	28	case	case	NOUN
ejpam-5327	300	29	3	3	NUM
ejpam-5327	300	30	:	:	PUNCT
ejpam-5327	300	31	a0	a0	PROPN
ejpam-5327	300	32	=	=	SYM
ejpam-5327	300	33	sin(2t+	sin(2t+	PROPN
ejpam-5327	300	34	1	1	NUM
ejpam-5327	300	35	)	)	PUNCT
ejpam-5327	300	36	and	and	CCONJ
ejpam-5327	300	37	a1	a1	NOUN
ejpam-5327	300	38	=	=	PUNCT
ejpam-5327	300	39	5t4	5t4	NUM
ejpam-5327	300	40	+	+	NUM
ejpam-5327	300	41	3t2	3t2	NUM
ejpam-5327	300	42	+	+	CCONJ
ejpam-5327	300	43	1	1	X
ejpam-5327	300	44	.	.	X
ejpam-5327	300	45	case	case	NOUN
ejpam-5327	300	46	4	4	NUM
ejpam-5327	300	47	:	:	PUNCT
ejpam-5327	300	48	a0	a0	NOUN
ejpam-5327	300	49	=	=	PUNCT
ejpam-5327	300	50	sin	sin	PROPN
ejpam-5327	300	51	t	t	PROPN
ejpam-5327	300	52	and	and	CCONJ
ejpam-5327	300	53	a1	a1	PROPN
ejpam-5327	300	54	=	=	PROPN
ejpam-5327	300	55	et	et	PROPN
ejpam-5327	300	56	.	.	PUNCT
ejpam-5327	300	57	remark	remark	PROPN
ejpam-5327	300	58	3	3	NUM
ejpam-5327	300	59	.	.	PUNCT
ejpam-5327	301	1	as	as	SCONJ
ejpam-5327	301	2	can	can	AUX
ejpam-5327	301	3	be	be	AUX
ejpam-5327	301	4	seen	see	VERB
ejpam-5327	301	5	from	from	ADP
ejpam-5327	301	6	tables	table	NOUN
ejpam-5327	301	7	1	1	NUM
ejpam-5327	301	8	and	and	CCONJ
ejpam-5327	301	9	2	2	NUM
ejpam-5327	301	10	,	,	PUNCT
ejpam-5327	301	11	and	and	CCONJ
ejpam-5327	301	12	figure	figure	VERB
ejpam-5327	301	13	1	1	NUM
ejpam-5327	301	14	and	and	CCONJ
ejpam-5327	301	15	2	2	NUM
ejpam-5327	301	16	,	,	PUNCT
ejpam-5327	301	17	the	the	DET
ejpam-5327	301	18	numerical	numerical	ADJ
ejpam-5327	301	19	outcomes	outcome	NOUN
ejpam-5327	301	20	of	of	ADP
ejpam-5327	301	21	the	the	DET
ejpam-5327	301	22	examples	example	NOUN
ejpam-5327	301	23	listed	list	VERB
ejpam-5327	301	24	above	above	ADV
ejpam-5327	301	25	(	(	PUNCT
ejpam-5327	301	26	both	both	CCONJ
ejpam-5327	301	27	finite	finite	ADJ
ejpam-5327	301	28	and	and	CCONJ
ejpam-5327	301	29	infinite	infinite	ADJ
ejpam-5327	301	30	dimension	dimension	NOUN
ejpam-5327	301	31	)	)	PUNCT
ejpam-5327	301	32	demonstrate	demonstrate	VERB
ejpam-5327	301	33	how	how	SCONJ
ejpam-5327	301	34	quickly	quickly	ADV
ejpam-5327	301	35	,	,	PUNCT
ejpam-5327	301	36	simply	simply	ADV
ejpam-5327	301	37	,	,	PUNCT
ejpam-5327	301	38	and	and	CCONJ
ejpam-5327	301	39	efficiently	efficiently	ADV
ejpam-5327	301	40	our	our	PRON
ejpam-5327	301	41	suggested	suggest	VERB
ejpam-5327	301	42	algorithm	algorithm	NOUN
ejpam-5327	301	43	(	(	PUNCT
ejpam-5327	301	44	4	4	NUM
ejpam-5327	301	45	)	)	PUNCT
ejpam-5327	301	46	performs	perform	NOUN
ejpam-5327	301	47	.	.	PUNCT
ejpam-5327	302	1	g.	g.	PROPN
ejpam-5327	302	2	c.	c.	PROPN
ejpam-5327	302	3	ugwunnadi	ugwunnadi	PROPN
ejpam-5327	302	4	et	et	PROPN
ejpam-5327	302	5	al	al	PROPN
ejpam-5327	302	6	.	.	PUNCT
ejpam-5327	302	7	/	/	SYM
ejpam-5327	302	8	eur	eur	PROPN
ejpam-5327	302	9	.	.	PUNCT
ejpam-5327	303	1	j.	j.	PROPN
ejpam-5327	303	2	pure	pure	PROPN
ejpam-5327	303	3	appl	appl	PROPN
ejpam-5327	303	4	.	.	PROPN
ejpam-5327	303	5	math	math	PROPN
ejpam-5327	303	6	,	,	PUNCT
ejpam-5327	303	7	17	17	NUM
ejpam-5327	303	8	(	(	PUNCT
ejpam-5327	303	9	3	3	NUM
ejpam-5327	303	10	)	)	PUNCT
ejpam-5327	303	11	(	(	PUNCT
ejpam-5327	303	12	2024	2024	NUM
ejpam-5327	303	13	)	)	PUNCT
ejpam-5327	303	14	,	,	PUNCT
ejpam-5327	303	15	2246	2246	NUM
ejpam-5327	303	16	-	-	SYM
ejpam-5327	303	17	2263	2263	NUM
ejpam-5327	303	18	2260	2260	NUM
ejpam-5327	303	19	0	0	NUM
ejpam-5327	303	20	10	10	NUM
ejpam-5327	303	21	20	20	NUM
ejpam-5327	303	22	30	30	NUM
ejpam-5327	303	23	40	40	NUM
ejpam-5327	303	24	50	50	NUM
ejpam-5327	303	25	number	number	NOUN
ejpam-5327	303	26	of	of	ADP
ejpam-5327	303	27	iterations	iteration	NOUN
ejpam-5327	303	28	10	10	NUM
ejpam-5327	303	29	-	-	SYM
ejpam-5327	303	30	6	6	NUM
ejpam-5327	303	31	10	10	NUM
ejpam-5327	303	32	-	-	SYM
ejpam-5327	303	33	5	5	NUM
ejpam-5327	303	34	10	10	NUM
ejpam-5327	303	35	-	-	SYM
ejpam-5327	303	36	4	4	NUM
ejpam-5327	303	37	10	10	NUM
ejpam-5327	303	38	-	-	SYM
ejpam-5327	303	39	3	3	NUM
ejpam-5327	303	40	10	10	NUM
ejpam-5327	303	41	-	-	SYM
ejpam-5327	303	42	2	2	NUM
ejpam-5327	303	43	10	10	NUM
ejpam-5327	303	44	-	-	SYM
ejpam-5327	303	45	1	1	NUM
ejpam-5327	303	46	100	100	NUM
ejpam-5327	303	47	t	t	NOUN
ejpam-5327	303	48	o	o	NOUN
ejpam-5327	303	49	l	l	NOUN
ejpam-5327	303	50	main	main	ADJ
ejpam-5327	303	51	algorithm	algorithm	NOUN
ejpam-5327	303	52	qiao	qiao	PROPN
ejpam-5327	303	53	li	li	PROPN
ejpam-5327	303	54	et	et	PROPN
ejpam-5327	303	55	al	al	PROPN
ejpam-5327	303	56	mainge	mainge	VERB
ejpam-5327	303	57	0	0	NUM
ejpam-5327	303	58	10	10	NUM
ejpam-5327	303	59	20	20	NUM
ejpam-5327	303	60	30	30	NUM
ejpam-5327	303	61	40	40	NUM
ejpam-5327	303	62	50	50	NUM
ejpam-5327	303	63	number	number	NOUN
ejpam-5327	303	64	of	of	ADP
ejpam-5327	303	65	iterations	iteration	NOUN
ejpam-5327	303	66	10	10	NUM
ejpam-5327	303	67	-	-	SYM
ejpam-5327	303	68	6	6	NUM
ejpam-5327	303	69	10	10	NUM
ejpam-5327	303	70	-	-	SYM
ejpam-5327	303	71	5	5	NUM
ejpam-5327	303	72	10	10	NUM
ejpam-5327	303	73	-	-	SYM
ejpam-5327	303	74	4	4	NUM
ejpam-5327	303	75	10	10	NUM
ejpam-5327	303	76	-	-	SYM
ejpam-5327	303	77	3	3	NUM
ejpam-5327	303	78	10	10	NUM
ejpam-5327	303	79	-	-	SYM
ejpam-5327	303	80	2	2	NUM
ejpam-5327	303	81	10	10	NUM
ejpam-5327	303	82	-	-	SYM
ejpam-5327	303	83	1	1	NUM
ejpam-5327	303	84	100	100	NUM
ejpam-5327	303	85	t	t	NOUN
ejpam-5327	303	86	o	o	NOUN
ejpam-5327	303	87	l	l	NOUN
ejpam-5327	303	88	main	main	ADJ
ejpam-5327	303	89	algorithm	algorithm	NOUN
ejpam-5327	303	90	qiao	qiao	PROPN
ejpam-5327	303	91	li	li	PROPN
ejpam-5327	303	92	et	et	PROPN
ejpam-5327	303	93	al	al	PROPN
ejpam-5327	303	94	mainge	mainge	VERB
ejpam-5327	303	95	0	0	NUM
ejpam-5327	303	96	10	10	NUM
ejpam-5327	303	97	20	20	NUM
ejpam-5327	303	98	30	30	NUM
ejpam-5327	303	99	40	40	NUM
ejpam-5327	303	100	50	50	NUM
ejpam-5327	303	101	60	60	NUM
ejpam-5327	303	102	number	number	NOUN
ejpam-5327	303	103	of	of	ADP
ejpam-5327	303	104	iterations	iteration	NOUN
ejpam-5327	303	105	10	10	NUM
ejpam-5327	303	106	-	-	SYM
ejpam-5327	303	107	6	6	NUM
ejpam-5327	303	108	10	10	NUM
ejpam-5327	303	109	-	-	SYM
ejpam-5327	303	110	5	5	NUM
ejpam-5327	303	111	10	10	NUM
ejpam-5327	303	112	-	-	SYM
ejpam-5327	303	113	4	4	NUM
ejpam-5327	303	114	10	10	NUM
ejpam-5327	303	115	-	-	SYM
ejpam-5327	303	116	3	3	NUM
ejpam-5327	303	117	10	10	NUM
ejpam-5327	303	118	-	-	SYM
ejpam-5327	303	119	2	2	NUM
ejpam-5327	303	120	10	10	NUM
ejpam-5327	303	121	-	-	SYM
ejpam-5327	303	122	1	1	NUM
ejpam-5327	303	123	100	100	NUM
ejpam-5327	303	124	101	101	NUM
ejpam-5327	303	125	t	t	NOUN
ejpam-5327	303	126	o	o	X
ejpam-5327	303	127	l	l	NOUN
ejpam-5327	303	128	main	main	ADJ
ejpam-5327	303	129	algorithm	algorithm	NOUN
ejpam-5327	303	130	qiao	qiao	PROPN
ejpam-5327	303	131	li	li	PROPN
ejpam-5327	303	132	et	et	PROPN
ejpam-5327	303	133	al	al	PROPN
ejpam-5327	303	134	mainge	mainge	VERB
ejpam-5327	303	135	0	0	NUM
ejpam-5327	303	136	10	10	NUM
ejpam-5327	303	137	20	20	NUM
ejpam-5327	303	138	30	30	NUM
ejpam-5327	303	139	40	40	NUM
ejpam-5327	303	140	50	50	NUM
ejpam-5327	303	141	number	number	NOUN
ejpam-5327	303	142	of	of	ADP
ejpam-5327	303	143	iterations	iteration	NOUN
ejpam-5327	303	144	10	10	NUM
ejpam-5327	303	145	-	-	SYM
ejpam-5327	303	146	6	6	NUM
ejpam-5327	303	147	10	10	NUM
ejpam-5327	303	148	-	-	SYM
ejpam-5327	303	149	5	5	NUM
ejpam-5327	303	150	10	10	NUM
ejpam-5327	303	151	-	-	SYM
ejpam-5327	303	152	4	4	NUM
ejpam-5327	303	153	10	10	NUM
ejpam-5327	303	154	-	-	SYM
ejpam-5327	303	155	3	3	NUM
ejpam-5327	303	156	10	10	NUM
ejpam-5327	303	157	-	-	SYM
ejpam-5327	303	158	2	2	NUM
ejpam-5327	303	159	10	10	NUM
ejpam-5327	303	160	-	-	SYM
ejpam-5327	303	161	1	1	NUM
ejpam-5327	303	162	100	100	NUM
ejpam-5327	303	163	t	t	NOUN
ejpam-5327	303	164	o	o	NOUN
ejpam-5327	303	165	l	l	NOUN
ejpam-5327	303	166	main	main	ADJ
ejpam-5327	303	167	algorithm	algorithm	NOUN
ejpam-5327	303	168	qiao	qiao	PROPN
ejpam-5327	303	169	li	li	PROPN
ejpam-5327	303	170	et	et	PROPN
ejpam-5327	303	171	al	al	PROPN
ejpam-5327	303	172	mainge	mainge	NOUN
ejpam-5327	303	173	figure	figure	NOUN
ejpam-5327	303	174	2	2	NUM
ejpam-5327	303	175	:	:	PUNCT
ejpam-5327	303	176	(	(	PUNCT
ejpam-5327	303	177	top	top	ADJ
ejpam-5327	303	178	left	left	ADJ
ejpam-5327	303	179	):	):	PUNCT
ejpam-5327	303	180	case	case	NOUN
ejpam-5327	303	181	1	1	NUM
ejpam-5327	303	182	;	;	PUNCT
ejpam-5327	303	183	(	(	PUNCT
ejpam-5327	303	184	top	top	ADJ
ejpam-5327	303	185	right	right	NOUN
ejpam-5327	303	186	):	):	PUNCT
ejpam-5327	303	187	case	case	NOUN
ejpam-5327	303	188	2	2	NUM
ejpam-5327	303	189	;	;	PUNCT
ejpam-5327	303	190	(	(	PUNCT
ejpam-5327	303	191	bottom	bottom	ADJ
ejpam-5327	303	192	left):case	left):case	PROPN
ejpam-5327	303	193	3	3	NUM
ejpam-5327	303	194	;	;	PUNCT
ejpam-5327	303	195	(	(	PUNCT
ejpam-5327	303	196	bottom	bottom	ADJ
ejpam-5327	303	197	right	right	NOUN
ejpam-5327	303	198	):	):	PUNCT
ejpam-5327	303	199	case	case	NOUN
ejpam-5327	303	200	4	4	NUM
ejpam-5327	303	201	,	,	PUNCT
ejpam-5327	303	202	the	the	DET
ejpam-5327	303	203	error	error	NOUN
ejpam-5327	303	204	plotting	plotting	NOUN
ejpam-5327	303	205	of	of	ADP
ejpam-5327	303	206	comparison	comparison	NOUN
ejpam-5327	303	207	of	of	ADP
ejpam-5327	303	208	algorithm	algorithm	NOUN
ejpam-5327	303	209	4	4	NUM
ejpam-5327	303	210	,	,	PUNCT
ejpam-5327	303	211	algorithm	algorithm	NOUN
ejpam-5327	303	212	3	3	NUM
ejpam-5327	303	213	,	,	PUNCT
ejpam-5327	303	214	and	and	CCONJ
ejpam-5327	303	215	algorithm	algorithm	NOUN
ejpam-5327	303	216	2	2	NUM
ejpam-5327	303	217	for	for	ADP
ejpam-5327	303	218	example	example	NOUN
ejpam-5327	303	219	2	2	NUM
ejpam-5327	303	220	.	.	NOUN
ejpam-5327	303	221	6	6	NUM
ejpam-5327	303	222	.	.	NOUN
ejpam-5327	303	223	conclusion	conclusion	NOUN
ejpam-5327	303	224	and	and	CCONJ
ejpam-5327	303	225	recommendation	recommendation	NOUN
ejpam-5327	303	226	we	we	PRON
ejpam-5327	303	227	propose	propose	VERB
ejpam-5327	303	228	a	a	DET
ejpam-5327	303	229	double	double	ADJ
ejpam-5327	303	230	inertial	inertial	ADJ
ejpam-5327	303	231	variant	variant	NOUN
ejpam-5327	303	232	of	of	ADP
ejpam-5327	303	233	the	the	DET
ejpam-5327	303	234	krasnosel’skii	krasnosel’skii	PROPN
ejpam-5327	303	235	-	-	PUNCT
ejpam-5327	303	236	mann	mann	NOUN
ejpam-5327	303	237	-	-	PUNCT
ejpam-5327	303	238	type	type	NOUN
ejpam-5327	303	239	method	method	NOUN
ejpam-5327	303	240	for	for	ADP
ejpam-5327	303	241	solving	solve	VERB
ejpam-5327	303	242	fixed	fix	VERB
ejpam-5327	303	243	point	point	NOUN
ejpam-5327	303	244	problems	problem	NOUN
ejpam-5327	303	245	associated	associate	VERB
ejpam-5327	303	246	with	with	ADP
ejpam-5327	303	247	nonexpansive	nonexpansive	ADJ
ejpam-5327	303	248	mappings	mapping	NOUN
ejpam-5327	303	249	.	.	PUNCT
ejpam-5327	304	1	in	in	ADP
ejpam-5327	304	2	contrast	contrast	NOUN
ejpam-5327	304	3	to	to	ADP
ejpam-5327	304	4	existing	exist	VERB
ejpam-5327	304	5	methods	method	NOUN
ejpam-5327	304	6	,	,	PUNCT
ejpam-5327	304	7	our	our	PRON
ejpam-5327	304	8	approach	approach	NOUN
ejpam-5327	304	9	relaxes	relax	VERB
ejpam-5327	304	10	the	the	DET
ejpam-5327	304	11	conditions	condition	NOUN
ejpam-5327	304	12	on	on	ADP
ejpam-5327	304	13	the	the	DET
ejpam-5327	304	14	choice	choice	NOUN
ejpam-5327	304	15	of	of	ADP
ejpam-5327	304	16	inertial	inertial	ADJ
ejpam-5327	304	17	factors	factor	NOUN
ejpam-5327	304	18	.	.	PUNCT
ejpam-5327	305	1	specifically	specifically	ADV
ejpam-5327	305	2	,	,	PUNCT
ejpam-5327	305	3	we	we	PRON
ejpam-5327	305	4	establish	establish	VERB
ejpam-5327	305	5	weak	weak	ADJ
ejpam-5327	305	6	convergence	convergence	NOUN
ejpam-5327	305	7	results	result	NOUN
ejpam-5327	305	8	for	for	ADP
ejpam-5327	305	9	our	our	PRON
ejpam-5327	305	10	method	method	NOUN
ejpam-5327	305	11	in	in	ADP
ejpam-5327	305	12	real	real	ADJ
ejpam-5327	305	13	hilbert	hilbert	NOUN
ejpam-5327	305	14	spaces	space	NOUN
ejpam-5327	305	15	,	,	PUNCT
ejpam-5327	305	16	requiring	require	VERB
ejpam-5327	305	17	simpler	simple	ADJ
ejpam-5327	305	18	assumptions	assumption	NOUN
ejpam-5327	305	19	than	than	ADP
ejpam-5327	305	20	those	those	PRON
ejpam-5327	305	21	previously	previously	ADV
ejpam-5327	305	22	imposed	impose	VERB
ejpam-5327	305	23	on	on	ADP
ejpam-5327	305	24	other	other	ADJ
ejpam-5327	305	25	inertial	inertial	ADJ
ejpam-5327	305	26	krasnosel’skii	krasnosel’skii	PROPN
ejpam-5327	305	27	-	-	PUNCT
ejpam-5327	305	28	mann	mann	NOUN
ejpam-5327	305	29	-	-	PUNCT
ejpam-5327	305	30	type	type	NOUN
ejpam-5327	305	31	methods	method	NOUN
ejpam-5327	305	32	.	.	PUNCT
ejpam-5327	306	1	furthermore	furthermore	ADV
ejpam-5327	306	2	,	,	PUNCT
ejpam-5327	306	3	we	we	PRON
ejpam-5327	306	4	leverage	leverage	VERB
ejpam-5327	306	5	our	our	PRON
ejpam-5327	306	6	findings	finding	NOUN
ejpam-5327	306	7	to	to	PART
ejpam-5327	306	8	address	address	VERB
ejpam-5327	306	9	practical	practical	ADJ
ejpam-5327	306	10	applications	application	NOUN
ejpam-5327	306	11	,	,	PUNCT
ejpam-5327	306	12	including	include	VERB
ejpam-5327	306	13	convex	convex	NOUN
ejpam-5327	306	14	minimization	minimization	NOUN
ejpam-5327	306	15	and	and	CCONJ
ejpam-5327	306	16	zero	zero	NUM
ejpam-5327	306	17	finding	finding	NOUN
ejpam-5327	306	18	for	for	ADP
ejpam-5327	306	19	sums	sum	NOUN
ejpam-5327	306	20	of	of	ADP
ejpam-5327	306	21	monotone	monotone	ADJ
ejpam-5327	306	22	operators	operator	NOUN
ejpam-5327	306	23	.	.	PUNCT
ejpam-5327	307	1	preliminary	preliminary	ADJ
ejpam-5327	307	2	numerical	numerical	ADJ
ejpam-5327	307	3	experiments	experiment	NOUN
ejpam-5327	307	4	demonstrate	demonstrate	VERB
ejpam-5327	307	5	the	the	DET
ejpam-5327	307	6	efficiency	efficiency	NOUN
ejpam-5327	307	7	and	and	CCONJ
ejpam-5327	307	8	promise	promise	NOUN
ejpam-5327	307	9	of	of	ADP
ejpam-5327	307	10	our	our	PRON
ejpam-5327	307	11	approach	approach	NOUN
ejpam-5327	307	12	.	.	PUNCT
ejpam-5327	308	1	for	for	ADP
ejpam-5327	308	2	future	future	ADJ
ejpam-5327	308	3	research	research	NOUN
ejpam-5327	308	4	,	,	PUNCT
ejpam-5327	308	5	we	we	PRON
ejpam-5327	308	6	recommend	recommend	VERB
ejpam-5327	308	7	investigating	investigate	VERB
ejpam-5327	308	8	the	the	DET
ejpam-5327	308	9	convergence	convergence	NOUN
ejpam-5327	308	10	rate	rate	NOUN
ejpam-5327	308	11	of	of	ADP
ejpam-5327	308	12	the	the	DET
ejpam-5327	308	13	double	double	ADJ
ejpam-5327	308	14	inertial	inertial	ADJ
ejpam-5327	308	15	version	version	NOUN
ejpam-5327	308	16	of	of	ADP
ejpam-5327	308	17	the	the	DET
ejpam-5327	308	18	krasnosel’skii	krasnosel’skii	PROPN
ejpam-5327	308	19	-	-	PUNCT
ejpam-5327	308	20	mann	mann	NOUN
ejpam-5327	308	21	-	-	PUNCT
ejpam-5327	308	22	type	type	NOUN
ejpam-5327	308	23	method	method	NOUN
ejpam-5327	308	24	and	and	CCONJ
ejpam-5327	308	25	applying	apply	VERB
ejpam-5327	308	26	it	it	PRON
ejpam-5327	308	27	to	to	PART
ejpam-5327	308	28	approximate	approximate	VERB
ejpam-5327	308	29	fixed	fix	VERB
ejpam-5327	308	30	points	point	NOUN
ejpam-5327	308	31	of	of	ADP
ejpam-5327	308	32	more	more	ADJ
ejpam-5327	308	33	generalized	generalized	ADJ
ejpam-5327	308	34	mappings	mapping	NOUN
ejpam-5327	308	35	.	.	PUNCT
ejpam-5327	309	1	references	reference	NOUN
ejpam-5327	309	2	2261	2261	NUM
ejpam-5327	309	3	acknowledgements	acknowledgement	NOUN
ejpam-5327	309	4	the	the	DET
ejpam-5327	309	5	authors	author	NOUN
ejpam-5327	309	6	are	be	AUX
ejpam-5327	309	7	grateful	grateful	ADJ
ejpam-5327	309	8	to	to	ADP
ejpam-5327	309	9	department	department	NOUN
ejpam-5327	309	10	of	of	ADP
ejpam-5327	309	11	mathematics	mathematic	NOUN
ejpam-5327	309	12	and	and	CCONJ
ejpam-5327	309	13	applied	apply	VERB
ejpam-5327	309	14	mathematics	mathematic	NOUN
ejpam-5327	309	15	,	,	PUNCT
ejpam-5327	309	16	sefako	sefako	ADJ
ejpam-5327	309	17	makgato	makgato	ADJ
ejpam-5327	309	18	health	health	PROPN
ejpam-5327	309	19	science	science	PROPN
ejpam-5327	309	20	university	university	PROPN
ejpam-5327	309	21	,	,	PUNCT
ejpam-5327	309	22	pretoria	pretoria	PROPN
ejpam-5327	309	23	0204	0204	NUM
ejpam-5327	309	24	,	,	PUNCT
ejpam-5327	309	25	south	south	PROPN
ejpam-5327	309	26	africa	africa	PROPN
ejpam-5327	309	27	for	for	ADP
ejpam-5327	309	28	supporting	support	VERB
ejpam-5327	309	29	this	this	DET
ejpam-5327	309	30	research	research	NOUN
ejpam-5327	309	31	work	work	NOUN
ejpam-5327	309	32	.	.	PUNCT
ejpam-5327	310	1	references	reference	NOUN
ejpam-5327	310	2	[	[	X
ejpam-5327	310	3	1	1	NUM
ejpam-5327	310	4	]	]	SYM
ejpam-5327	310	5	b	b	PROPN
ejpam-5327	310	6	g	g	PROPN
ejpam-5327	310	7	akuchu	akuchu	PROPN
ejpam-5327	310	8	.	.	PUNCT
ejpam-5327	311	1	convergence	convergence	NOUN
ejpam-5327	311	2	to	to	ADP
ejpam-5327	311	3	minimum	minimum	ADJ
ejpam-5327	311	4	-	-	PUNCT
ejpam-5327	311	5	norm	norm	NOUN
ejpam-5327	311	6	fixed	fix	VERB
ejpam-5327	311	7	points	point	NOUN
ejpam-5327	311	8	of	of	ADP
ejpam-5327	311	9	nonexpansive	nonexpansive	ADJ
ejpam-5327	311	10	mappings	mapping	NOUN
ejpam-5327	311	11	in	in	ADP
ejpam-5327	311	12	hilbert	hilbert	PROPN
ejpam-5327	311	13	spaces	space	NOUN
ejpam-5327	311	14	via	via	ADP
ejpam-5327	311	15	path	path	NOUN
ejpam-5327	311	16	algorithms	algorithm	NOUN
ejpam-5327	311	17	.	.	PUNCT
ejpam-5327	312	1	panamerican	panamerican	PROPN
ejpam-5327	312	2	mathematical	mathematical	ADJ
ejpam-5327	312	3	journal	journal	PROPN
ejpam-5327	312	4	,	,	PUNCT
ejpam-5327	312	5	24:56–65	24:56–65	NUM
ejpam-5327	312	6	,	,	PUNCT
ejpam-5327	312	7	2014	2014	NUM
ejpam-5327	312	8	.	.	PUNCT
ejpam-5327	313	1	[	[	X
ejpam-5327	313	2	2	2	NUM
ejpam-5327	313	3	]	]	SYM
ejpam-5327	313	4	f	f	PROPN
ejpam-5327	313	5	alvarez	alvarez	PROPN
ejpam-5327	313	6	and	and	CCONJ
ejpam-5327	313	7	h	h	PROPN
ejpam-5327	313	8	attouch	attouch	ADJ
ejpam-5327	313	9	.	.	PUNCT
ejpam-5327	314	1	an	an	DET
ejpam-5327	314	2	inertial	inertial	ADJ
ejpam-5327	314	3	proximal	proximal	ADJ
ejpam-5327	314	4	method	method	NOUN
ejpam-5327	314	5	for	for	ADP
ejpam-5327	314	6	maximal	maximal	ADJ
ejpam-5327	314	7	monotone	monotone	ADJ
ejpam-5327	314	8	operators	operator	NOUN
ejpam-5327	314	9	via	via	ADP
ejpam-5327	314	10	discretization	discretization	NOUN
ejpam-5327	314	11	of	of	ADP
ejpam-5327	314	12	a	a	DET
ejpam-5327	314	13	nonlinear	nonlinear	ADJ
ejpam-5327	314	14	oscillator	oscillator	NOUN
ejpam-5327	314	15	with	with	ADP
ejpam-5327	314	16	damping	damp	VERB
ejpam-5327	314	17	.	.	PUNCT
ejpam-5327	315	1	set	set	VERB
ejpam-5327	315	2	value	value	NOUN
ejpam-5327	315	3	anal	anal	NOUN
ejpam-5327	315	4	.	.	PUNCT
ejpam-5327	315	5	,	,	PUNCT
ejpam-5327	315	6	9:3–11	9:3–11	NUM
ejpam-5327	315	7	,	,	PUNCT
ejpam-5327	315	8	2011	2011	NUM
ejpam-5327	315	9	.	.	PUNCT
ejpam-5327	316	1	[	[	X
ejpam-5327	316	2	3	3	X
ejpam-5327	316	3	]	]	X
ejpam-5327	316	4	h	h	NOUN
ejpam-5327	316	5	h	h	NOUN
ejpam-5327	316	6	bauschke	bauschke	NOUN
ejpam-5327	316	7	and	and	CCONJ
ejpam-5327	316	8	p	p	NOUN
ejpam-5327	316	9	l	l	NOUN
ejpam-5327	316	10	combettes	combette	NOUN
ejpam-5327	316	11	.	.	PUNCT
ejpam-5327	317	1	convex	convex	VERB
ejpam-5327	317	2	analysis	analysis	NOUN
ejpam-5327	317	3	and	and	CCONJ
ejpam-5327	317	4	monotone	monotone	ADJ
ejpam-5327	317	5	operator	operator	NOUN
ejpam-5327	317	6	theory	theory	NOUN
ejpam-5327	317	7	in	in	ADP
ejpam-5327	317	8	hilbert	hilbert	PROPN
ejpam-5327	317	9	spaces	space	NOUN
ejpam-5327	317	10	.	.	PUNCT
ejpam-5327	318	1	springer	springer	NOUN
ejpam-5327	318	2	,	,	PUNCT
ejpam-5327	318	3	new	new	PROPN
ejpam-5327	318	4	york	york	PROPN
ejpam-5327	318	5	dordreecht	dordreecht	PROPN
ejpam-5327	318	6	london	london	PROPN
ejpam-5327	318	7	,	,	PUNCT
ejpam-5327	318	8	2011	2011	NUM
ejpam-5327	318	9	.	.	PUNCT
ejpam-5327	319	1	[	[	X
ejpam-5327	319	2	4	4	NUM
ejpam-5327	319	3	]	]	X
ejpam-5327	319	4	r	r	NOUN
ejpam-5327	319	5	i	i	PRON
ejpam-5327	319	6	bot	bot	VERB
ejpam-5327	319	7	,	,	PUNCT
ejpam-5327	319	8	e	e	PROPN
ejpam-5327	319	9	r	r	NOUN
ejpam-5327	319	10	csetnek	csetnek	NOUN
ejpam-5327	319	11	,	,	PUNCT
ejpam-5327	319	12	and	and	CCONJ
ejpam-5327	319	13	c	c	AUX
ejpam-5327	319	14	hendrich	hendrich	PROPN
ejpam-5327	319	15	.	.	PUNCT
ejpam-5327	320	1	inertial	inertial	PROPN
ejpam-5327	320	2	douglas	douglas	PROPN
ejpam-5327	320	3	–	–	PUNCT
ejpam-5327	320	4	rachford	rachford	ADJ
ejpam-5327	320	5	splitting	splitting	NOUN
ejpam-5327	320	6	for	for	ADP
ejpam-5327	320	7	monotone	monotone	ADJ
ejpam-5327	320	8	inclusion	inclusion	NOUN
ejpam-5327	320	9	problems	problem	NOUN
ejpam-5327	320	10	.	.	PUNCT
ejpam-5327	321	1	appl	appl	PROPN
ejpam-5327	321	2	.	.	PROPN
ejpam-5327	321	3	math	math	PROPN
ejpam-5327	321	4	.	.	PUNCT
ejpam-5327	322	1	comput	comput	NOUN
ejpam-5327	322	2	.	.	PUNCT
ejpam-5327	322	3	,	,	PUNCT
ejpam-5327	322	4	256:472–487	256:472–487	NUM
ejpam-5327	322	5	,	,	PUNCT
ejpam-5327	322	6	2015	2015	NUM
ejpam-5327	322	7	.	.	PUNCT
ejpam-5327	323	1	[	[	X
ejpam-5327	323	2	5	5	NUM
ejpam-5327	323	3	]	]	SYM
ejpam-5327	323	4	f	f	PROPN
ejpam-5327	323	5	e	e	PROPN
ejpam-5327	323	6	browder	browder	PROPN
ejpam-5327	323	7	.	.	PUNCT
ejpam-5327	324	1	nonlinear	nonlinear	ADJ
ejpam-5327	324	2	accretive	accretive	ADJ
ejpam-5327	324	3	operators	operator	NOUN
ejpam-5327	324	4	in	in	ADP
ejpam-5327	324	5	banach	banach	NOUN
ejpam-5327	324	6	spaces	space	NOUN
ejpam-5327	324	7	,	,	PUNCT
ejpam-5327	324	8	.	.	PUNCT
ejpam-5327	325	1	bull	bull	NOUN
ejpam-5327	325	2	.	.	PUNCT
ejpam-5327	326	1	amer	amer	PROPN
ejpam-5327	326	2	.	.	PUNCT
ejpam-5327	326	3	math	math	PROPN
ejpam-5327	326	4	.	.	PUNCT
ejpam-5327	327	1	soc	soc	PROPN
ejpam-5327	327	2	.	.	PUNCT
ejpam-5327	327	3	,	,	PUNCT
ejpam-5327	328	1	73:470–476	73:470–476	PROPN
ejpam-5327	328	2	,	,	PUNCT
ejpam-5327	328	3	1976	1976	NUM
ejpam-5327	328	4	.	.	PUNCT
ejpam-5327	329	1	[	[	X
ejpam-5327	329	2	6	6	NUM
ejpam-5327	329	3	]	]	PUNCT
ejpam-5327	329	4	l	l	NOUN
ejpam-5327	329	5	c	c	PROPN
ejpam-5327	329	6	ceng	ceng	PROPN
ejpam-5327	329	7	,	,	PUNCT
ejpam-5327	329	8	a	a	DET
ejpam-5327	329	9	petruse	petruse	NOUN
ejpam-5327	329	10	,	,	PUNCT
ejpam-5327	329	11	x	x	X
ejpam-5327	329	12	qin	qin	INTJ
ejpam-5327	329	13	,	,	PUNCT
ejpam-5327	329	14	and	and	CCONJ
ejpam-5327	329	15	j	j	PROPN
ejpam-5327	329	16	c	c	PROPN
ejpam-5327	329	17	yao	yao	PROPN
ejpam-5327	329	18	.	.	PUNCT
ejpam-5327	330	1	a	a	DET
ejpam-5327	330	2	modified	modify	VERB
ejpam-5327	330	3	inertial	inertial	ADJ
ejpam-5327	330	4	subgradient	subgradient	NOUN
ejpam-5327	330	5	extragradient	extragradient	NOUN
ejpam-5327	330	6	method	method	NOUN
ejpam-5327	330	7	for	for	ADP
ejpam-5327	330	8	solving	solve	VERB
ejpam-5327	330	9	pseudomonotone	pseudomonotone	ADP
ejpam-5327	330	10	variational	variational	ADJ
ejpam-5327	330	11	inequalities	inequality	NOUN
ejpam-5327	330	12	and	and	CCONJ
ejpam-5327	330	13	common	common	ADJ
ejpam-5327	330	14	fixed	fix	VERB
ejpam-5327	330	15	point	point	NOUN
ejpam-5327	330	16	problems	problem	NOUN
ejpam-5327	330	17	.	.	PUNCT
ejpam-5327	331	1	fixed	fix	VERB
ejpam-5327	331	2	point	point	NOUN
ejpam-5327	331	3	theory	theory	NOUN
ejpam-5327	331	4	,	,	PUNCT
ejpam-5327	331	5	21:93–108	21:93–108	NUM
ejpam-5327	331	6	,	,	PUNCT
ejpam-5327	331	7	2020	2020	NUM
ejpam-5327	331	8	.	.	PUNCT
ejpam-5327	332	1	[	[	X
ejpam-5327	332	2	7	7	X
ejpam-5327	332	3	]	]	SYM
ejpam-5327	332	4	q	q	PROPN
ejpam-5327	332	5	l	l	NOUN
ejpam-5327	332	6	dong	dong	PROPN
ejpam-5327	332	7	,	,	PUNCT
ejpam-5327	332	8	y	y	PROPN
ejpam-5327	332	9	j	j	PROPN
ejpam-5327	332	10	cho	cho	PROPN
ejpam-5327	332	11	,	,	PUNCT
ejpam-5327	332	12	and	and	CCONJ
ejpam-5327	332	13	t	t	PROPN
ejpam-5327	332	14	m	m	NOUN
ejpam-5327	332	15	rassias	rassias	PROPN
ejpam-5327	332	16	.	.	PUNCT
ejpam-5327	333	1	general	general	ADJ
ejpam-5327	333	2	inertial	inertial	ADJ
ejpam-5327	333	3	mann	mann	NOUN
ejpam-5327	333	4	algorithms	algorithm	NOUN
ejpam-5327	333	5	and	and	CCONJ
ejpam-5327	333	6	their	their	PRON
ejpam-5327	333	7	convergence	convergence	NOUN
ejpam-5327	333	8	analysis	analysis	NOUN
ejpam-5327	333	9	for	for	ADP
ejpam-5327	333	10	nonexpansive	nonexpansive	ADJ
ejpam-5327	333	11	mappings	mapping	NOUN
ejpam-5327	333	12	t	t	PROPN
ejpam-5327	333	13	(	(	PUNCT
ejpam-5327	333	14	eds	ed	NOUN
ejpam-5327	333	15	)	)	PUNCT
ejpam-5327	333	16	applications	application	NOUN
ejpam-5327	333	17	of	of	ADP
ejpam-5327	333	18	nonlinear	nonlinear	ADJ
ejpam-5327	333	19	analysis	analysis	NOUN
ejpam-5327	333	20	.	.	PUNCT
ejpam-5327	334	1	,	,	PUNCT
ejpam-5327	334	2	volume	volume	NOUN
ejpam-5327	334	3	134	134	NUM
ejpam-5327	334	4	.	.	PUNCT
ejpam-5327	335	1	springer	springer	NOUN
ejpam-5327	335	2	optimization	optimization	NOUN
ejpam-5327	335	3	and	and	CCONJ
ejpam-5327	335	4	its	its	PRON
ejpam-5327	335	5	applications	application	NOUN
ejpam-5327	335	6	springer	springer	NOUN
ejpam-5327	335	7	,	,	PUNCT
ejpam-5327	335	8	in	in	ADP
ejpam-5327	335	9	russian	russian	ADJ
ejpam-5327	335	10	cham	cham	PROPN
ejpam-5327	335	11	,	,	PUNCT
ejpam-5327	335	12	2018	2018	NUM
ejpam-5327	335	13	.	.	PUNCT
ejpam-5327	336	1	[	[	X
ejpam-5327	336	2	8	8	X
ejpam-5327	336	3	]	]	X
ejpam-5327	336	4	p	p	X
ejpam-5327	336	5	debnath	debnath	PROPN
ejpam-5327	336	6	et	et	PROPN
ejpam-5327	336	7	al	al	PROPN
ejpam-5327	336	8	.	.	PROPN
ejpam-5327	336	9	metric	metric	ADJ
ejpam-5327	336	10	fixed	fix	VERB
ejpam-5327	336	11	point	point	NOUN
ejpam-5327	336	12	theory	theory	NOUN
ejpam-5327	336	13	.	.	PUNCT
ejpam-5327	336	14	.	.	PUNCT
ejpam-5327	337	1	springer	springer	PROPN
ejpam-5327	337	2	,	,	PUNCT
ejpam-5327	337	3	singapore	singapore	PROPN
ejpam-5327	337	4	,	,	PUNCT
ejpam-5327	337	5	2021	2021	NUM
ejpam-5327	337	6	.	.	PUNCT
ejpam-5327	338	1	[	[	X
ejpam-5327	338	2	9	9	NUM
ejpam-5327	338	3	]	]	X
ejpam-5327	338	4	j	j	PROPN
ejpam-5327	338	5	fan	fan	PROPN
ejpam-5327	338	6	,	,	PUNCT
ejpam-5327	338	7	l	l	PROPN
ejpam-5327	338	8	liu	liu	PROPN
ejpam-5327	338	9	,	,	PUNCT
ejpam-5327	338	10	and	and	CCONJ
ejpam-5327	338	11	x	x	PUNCT
ejpam-5327	338	12	qin	qin	PROPN
ejpam-5327	338	13	.	.	PUNCT
ejpam-5327	339	1	a	a	DET
ejpam-5327	339	2	subgradient	subgradient	ADJ
ejpam-5327	339	3	extragradient	extragradient	NOUN
ejpam-5327	339	4	algorithm	algorithm	NOUN
ejpam-5327	339	5	with	with	ADP
ejpam-5327	339	6	inertial	inertial	ADJ
ejpam-5327	339	7	effects	effect	NOUN
ejpam-5327	339	8	for	for	ADP
ejpam-5327	339	9	solving	solve	VERB
ejpam-5327	339	10	strongly	strongly	ADV
ejpam-5327	339	11	pseudomonotone	pseudomonotone	ADJ
ejpam-5327	339	12	variational	variational	ADJ
ejpam-5327	339	13	inequalities	inequality	NOUN
ejpam-5327	339	14	.	.	PUNCT
ejpam-5327	340	1	optimization	optimization	NOUN
ejpam-5327	340	2	,	,	PUNCT
ejpam-5327	340	3	69:2199	69:2199	NUM
ejpam-5327	340	4	–	–	PUNCT
ejpam-5327	340	5	2215	2215	NUM
ejpam-5327	340	6	,	,	PUNCT
ejpam-5327	340	7	2020	2020	NUM
ejpam-5327	340	8	.	.	PUNCT
ejpam-5327	341	1	[	[	X
ejpam-5327	341	2	10	10	NUM
ejpam-5327	341	3	]	]	X
ejpam-5327	341	4	j	j	PROPN
ejpam-5327	341	5	gornicki	gornicki	PROPN
ejpam-5327	341	6	.	.	PUNCT
ejpam-5327	342	1	weak	weak	ADJ
ejpam-5327	342	2	convergence	convergence	NOUN
ejpam-5327	342	3	theorems	theorem	NOUN
ejpam-5327	342	4	for	for	ADP
ejpam-5327	342	5	asymptotically	asymptotically	ADV
ejpam-5327	342	6	nonexpansive	nonexpansive	ADJ
ejpam-5327	342	7	mappings	mapping	NOUN
ejpam-5327	342	8	in	in	ADP
ejpam-5327	342	9	uniformly	uniformly	ADV
ejpam-5327	342	10	convex	convex	NOUN
ejpam-5327	342	11	banach	banach	NOUN
ejpam-5327	342	12	spaces	space	VERB
ejpam-5327	342	13	.	.	PUNCT
ejpam-5327	343	1	comment	comment	NOUN
ejpam-5327	343	2	.	.	PUNCT
ejpam-5327	344	1	math	math	NOUN
ejpam-5327	344	2	.	.	PUNCT
ejpam-5327	345	1	univ	univ	PROPN
ejpam-5327	345	2	.	.	PUNCT
ejpam-5327	346	1	carolin	carolin	PROPN
ejpam-5327	346	2	.	.	PROPN
ejpam-5327	346	3	,	,	PUNCT
ejpam-5327	346	4	30:249–252	30:249–252	PROPN
ejpam-5327	346	5	,	,	PUNCT
ejpam-5327	346	6	2089	2089	NUM
ejpam-5327	346	7	.	.	PUNCT
ejpam-5327	347	1	[	[	X
ejpam-5327	347	2	11	11	NUM
ejpam-5327	347	3	]	]	PUNCT
ejpam-5327	347	4	t	t	PROPN
ejpam-5327	347	5	kato	kato	PROPN
ejpam-5327	347	6	.	.	PUNCT
ejpam-5327	348	1	nonlinear	nonlinear	ADJ
ejpam-5327	348	2	semigroups	semigroup	NOUN
ejpam-5327	348	3	and	and	CCONJ
ejpam-5327	348	4	evolution	evolution	NOUN
ejpam-5327	348	5	equations	equation	NOUN
ejpam-5327	348	6	.	.	PUNCT
ejpam-5327	349	1	j.	j.	PROPN
ejpam-5327	349	2	math.soc	math.soc	PROPN
ejpam-5327	349	3	.	.	PUNCT
ejpam-5327	350	1	japan	japan	PROPN
ejpam-5327	350	2	,	,	PUNCT
ejpam-5327	350	3	19:508	19:508	NUM
ejpam-5327	350	4	–	–	PUNCT
ejpam-5327	350	5	520	520	NUM
ejpam-5327	350	6	,	,	PUNCT
ejpam-5327	350	7	1967	1967	NUM
ejpam-5327	350	8	.	.	PUNCT
ejpam-5327	351	1	[	[	X
ejpam-5327	351	2	12	12	NUM
ejpam-5327	351	3	]	]	X
ejpam-5327	351	4	h	h	NOUN
ejpam-5327	351	5	y	y	PROPN
ejpam-5327	351	6	li	li	PROPN
ejpam-5327	351	7	and	and	CCONJ
ejpam-5327	351	8	x	x	PROPN
ejpam-5327	351	9	f	f	PROPN
ejpam-5327	351	10	wang	wang	PROPN
ejpam-5327	351	11	.	.	PUNCT
ejpam-5327	352	1	subgradient	subgradient	PROPN
ejpam-5327	352	2	extragradient	extragradient	PROPN
ejpam-5327	352	3	method	method	NOUN
ejpam-5327	352	4	with	with	ADP
ejpam-5327	352	5	double	double	ADJ
ejpam-5327	352	6	inertial	inertial	ADJ
ejpam-5327	352	7	steps	step	NOUN
ejpam-5327	352	8	for	for	ADP
ejpam-5327	352	9	quasi	quasi	ADJ
ejpam-5327	352	10	-	-	ADJ
ejpam-5327	352	11	monotone	monotone	ADJ
ejpam-5327	352	12	variational	variational	ADJ
ejpam-5327	352	13	inequalities	inequality	NOUN
ejpam-5327	352	14	.	.	PUNCT
ejpam-5327	353	1	filomate	filomate	PROPN
ejpam-5327	353	2	,	,	PUNCT
ejpam-5327	353	3	37:9823–9844	37:9823–9844	NUM
ejpam-5327	353	4	,	,	PUNCT
ejpam-5327	353	5	2023	2023	NUM
ejpam-5327	353	6	.	.	PUNCT
ejpam-5327	354	1	references	reference	NOUN
ejpam-5327	354	2	2262	2262	NUM
ejpam-5327	354	3	[	[	X
ejpam-5327	354	4	13	13	NUM
ejpam-5327	354	5	]	]	SYM
ejpam-5327	354	6	h	h	NOUN
ejpam-5327	354	7	y	y	PROPN
ejpam-5327	354	8	li	li	PROPN
ejpam-5327	354	9	,	,	PUNCT
ejpam-5327	354	10	x	x	PROPN
ejpam-5327	354	11	f	f	PROPN
ejpam-5327	354	12	wang	wang	PROPN
ejpam-5327	354	13	,	,	PUNCT
ejpam-5327	354	14	and	and	CCONJ
ejpam-5327	354	15	f	f	PROPN
ejpam-5327	354	16	h	h	PROPN
ejpam-5327	354	17	wang	wang	PROPN
ejpam-5327	354	18	.	.	PUNCT
ejpam-5327	355	1	projection	projection	PROPN
ejpam-5327	355	2	and	and	CCONJ
ejpam-5327	355	3	contraction	contraction	NOUN
ejpam-5327	355	4	method	method	NOUN
ejpam-5327	355	5	with	with	ADP
ejpam-5327	355	6	double	double	ADJ
ejpam-5327	355	7	inertial	inertial	ADJ
ejpam-5327	355	8	steps	step	NOUN
ejpam-5327	355	9	for	for	ADP
ejpam-5327	355	10	quasi	quasi	ADJ
ejpam-5327	355	11	-	-	ADJ
ejpam-5327	355	12	monotone	monotone	ADJ
ejpam-5327	355	13	variational	variational	ADJ
ejpam-5327	355	14	inequalities	inequality	NOUN
ejpam-5327	355	15	.	.	PUNCT
ejpam-5327	356	1	optimization	optimization	NOUN
ejpam-5327	356	2	,	,	PUNCT
ejpam-5327	356	3	334:1–31	334:1–31	PROPN
ejpam-5327	356	4	,	,	PUNCT
ejpam-5327	356	5	2024	2024	NUM
ejpam-5327	356	6	.	.	PUNCT
ejpam-5327	357	1	[	[	X
ejpam-5327	357	2	14	14	NUM
ejpam-5327	357	3	]	]	X
ejpam-5327	357	4	h	h	NOUN
ejpam-5327	357	5	liduka	liduka	PROPN
ejpam-5327	357	6	.	.	PUNCT
ejpam-5327	358	1	iterative	iterative	NOUN
ejpam-5327	358	2	algorithm	algorithm	NOUN
ejpam-5327	358	3	for	for	ADP
ejpam-5327	358	4	triple	triple	ADJ
ejpam-5327	358	5	-	-	PUNCT
ejpam-5327	358	6	hierarchical	hierarchical	ADJ
ejpam-5327	358	7	constrained	constrain	VERB
ejpam-5327	358	8	convex	convex	NOUN
ejpam-5327	358	9	optimization	optimization	NOUN
ejpam-5327	358	10	problem	problem	NOUN
ejpam-5327	358	11	and	and	CCONJ
ejpam-5327	358	12	its	its	PRON
ejpam-5327	358	13	application	application	NOUN
ejpam-5327	358	14	to	to	ADP
ejpam-5327	358	15	network	network	NOUN
ejpam-5327	358	16	bandwidth	bandwidth	ADJ
ejpam-5327	358	17	allocation	allocation	NOUN
ejpam-5327	358	18	.	.	PUNCT
ejpam-5327	359	1	siam	siam	PROPN
ejpam-5327	359	2	j.	j.	PROPN
ejpam-5327	359	3	optim	optim	PROPN
ejpam-5327	359	4	.	.	PROPN
ejpam-5327	359	5	,	,	PUNCT
ejpam-5327	359	6	22:862–878	22:862–878	NUM
ejpam-5327	359	7	,	,	PUNCT
ejpam-5327	359	8	2012	2012	NUM
ejpam-5327	359	9	.	.	PUNCT
ejpam-5327	360	1	[	[	X
ejpam-5327	360	2	15	15	NUM
ejpam-5327	360	3	]	]	X
ejpam-5327	360	4	h	h	NOUN
ejpam-5327	360	5	liduka	liduka	VERB
ejpam-5327	360	6	.	.	PUNCT
ejpam-5327	361	1	fixed	fix	VERB
ejpam-5327	361	2	point	point	NOUN
ejpam-5327	361	3	optimization	optimization	NOUN
ejpam-5327	361	4	algorithms	algorithm	NOUN
ejpam-5327	361	5	for	for	ADP
ejpam-5327	361	6	distributed	distribute	VERB
ejpam-5327	361	7	optimization	optimization	NOUN
ejpam-5327	361	8	in	in	ADP
ejpam-5327	361	9	networked	networked	ADJ
ejpam-5327	361	10	systems	system	NOUN
ejpam-5327	361	11	.	.	PUNCT
ejpam-5327	362	1	siam	siam	PROPN
ejpam-5327	362	2	j.	j.	PROPN
ejpam-5327	362	3	optim	optim	PROPN
ejpam-5327	362	4	.	.	PROPN
ejpam-5327	362	5	,	,	PUNCT
ejpam-5327	362	6	23:1–26	23:1–26	NUM
ejpam-5327	362	7	,	,	PUNCT
ejpam-5327	362	8	2013	2013	NUM
ejpam-5327	362	9	.	.	PUNCT
ejpam-5327	363	1	[	[	X
ejpam-5327	363	2	16	16	NUM
ejpam-5327	363	3	]	]	PUNCT
ejpam-5327	363	4	l	l	PROPN
ejpam-5327	363	5	liu	liu	PROPN
ejpam-5327	363	6	,	,	PUNCT
ejpam-5327	363	7	s	s	PROPN
ejpam-5327	363	8	y	y	PROPN
ejpam-5327	363	9	cho	cho	PROPN
ejpam-5327	363	10	,	,	PUNCT
ejpam-5327	363	11	and	and	CCONJ
ejpam-5327	363	12	j	j	PROPN
ejpam-5327	363	13	c	c	PROPN
ejpam-5327	363	14	yao	yao	PROPN
ejpam-5327	363	15	.	.	PUNCT
ejpam-5327	364	1	convergence	convergence	NOUN
ejpam-5327	364	2	analysis	analysis	NOUN
ejpam-5327	364	3	of	of	ADP
ejpam-5327	364	4	an	an	DET
ejpam-5327	364	5	inertial	inertial	ADJ
ejpam-5327	364	6	tseng’sextragradient	tseng’sextragradient	NOUN
ejpam-5327	364	7	algorithm	algorithm	NOUN
ejpam-5327	364	8	for	for	ADP
ejpam-5327	364	9	solving	solve	VERB
ejpam-5327	364	10	pseudomonotone	pseudomonotone	ADP
ejpam-5327	364	11	variational	variational	ADJ
ejpam-5327	364	12	inequalities	inequality	NOUN
ejpam-5327	364	13	and	and	CCONJ
ejpam-5327	364	14	applications	application	NOUN
ejpam-5327	364	15	.	.	PUNCT
ejpam-5327	365	1	j.	j.	PROPN
ejpam-5327	365	2	nonlinear	nonlinear	PROPN
ejpam-5327	365	3	var	var	PROPN
ejpam-5327	365	4	.	.	PUNCT
ejpam-5327	366	1	anal	anal	PROPN
ejpam-5327	366	2	.	.	PROPN
ejpam-5327	366	3	,	,	PUNCT
ejpam-5327	366	4	5:627–644	5:627–644	NUM
ejpam-5327	366	5	,	,	PUNCT
ejpam-5327	366	6	2021	2021	NUM
ejpam-5327	366	7	.	.	PUNCT
ejpam-5327	367	1	[	[	X
ejpam-5327	367	2	17	17	NUM
ejpam-5327	367	3	]	]	X
ejpam-5327	367	4	l	l	PROPN
ejpam-5327	367	5	liu	liu	PROPN
ejpam-5327	367	6	and	and	CCONJ
ejpam-5327	367	7	x	x	SYM
ejpam-5327	367	8	qin	qin	INTJ
ejpam-5327	367	9	.	.	PUNCT
ejpam-5327	367	10	strong	strong	ADJ
ejpam-5327	367	11	convergence	convergence	NOUN
ejpam-5327	367	12	theorems	theorem	VERB
ejpam-5327	367	13	for	for	ADP
ejpam-5327	367	14	solving	solve	VERB
ejpam-5327	367	15	pseudo	pseudo	NOUN
ejpam-5327	367	16	-	-	ADJ
ejpam-5327	367	17	monotone	monotone	ADJ
ejpam-5327	367	18	variational	variational	ADJ
ejpam-5327	367	19	inequality	inequality	NOUN
ejpam-5327	367	20	problems	problem	NOUN
ejpam-5327	367	21	and	and	CCONJ
ejpam-5327	367	22	applications	application	NOUN
ejpam-5327	367	23	.	.	PUNCT
ejpam-5327	368	1	optimization	optimization	NOUN
ejpam-5327	368	2	,	,	PUNCT
ejpam-5327	368	3	71(12):3603–3626	71(12):3603–3626	PROPN
ejpam-5327	368	4	,	,	PUNCT
ejpam-5327	368	5	2021	2021	NUM
ejpam-5327	368	6	.	.	PUNCT
ejpam-5327	369	1	[	[	X
ejpam-5327	369	2	18	18	NUM
ejpam-5327	369	3	]	]	X
ejpam-5327	369	4	p	p	NOUN
ejpam-5327	369	5	mainge	mainge	NOUN
ejpam-5327	369	6	.	.	PUNCT
ejpam-5327	370	1	convergence	convergence	NOUN
ejpam-5327	370	2	theorems	theorem	NOUN
ejpam-5327	370	3	for	for	ADP
ejpam-5327	370	4	inertial	inertial	ADJ
ejpam-5327	370	5	km	km	NOUN
ejpam-5327	370	6	-	-	PUNCT
ejpam-5327	370	7	type	type	NOUN
ejpam-5327	370	8	algorithms	algorithm	NOUN
ejpam-5327	370	9	.	.	PUNCT
ejpam-5327	371	1	j.	j.	PROPN
ejpam-5327	371	2	comp	comp	PROPN
ejpam-5327	371	3	.	.	PUNCT
ejpam-5327	372	1	anal	anal	PROPN
ejpam-5327	372	2	.	.	PUNCT
ejpam-5327	373	1	and	and	CCONJ
ejpam-5327	373	2	appl	appl	PROPN
ejpam-5327	373	3	.	.	PROPN
ejpam-5327	373	4	,	,	PUNCT
ejpam-5327	373	5	219:223–236	219:223–236	NUM
ejpam-5327	373	6	,	,	PUNCT
ejpam-5327	373	7	2008	2008	NUM
ejpam-5327	373	8	.	.	PUNCT
ejpam-5327	374	1	[	[	X
ejpam-5327	374	2	19	19	NUM
ejpam-5327	374	3	]	]	SYM
ejpam-5327	374	4	w	w	PROPN
ejpam-5327	374	5	r	r	NOUN
ejpam-5327	374	6	mann	mann	NOUN
ejpam-5327	374	7	.	.	PUNCT
ejpam-5327	375	1	mean	mean	VERB
ejpam-5327	375	2	value	value	NOUN
ejpam-5327	375	3	methods	method	NOUN
ejpam-5327	375	4	in	in	ADP
ejpam-5327	375	5	iteration	iteration	NOUN
ejpam-5327	375	6	.	.	PUNCT
ejpam-5327	376	1	proc	proc	PROPN
ejpam-5327	376	2	.	.	PUNCT
ejpam-5327	377	1	amer	amer	PROPN
ejpam-5327	377	2	.	.	PUNCT
ejpam-5327	377	3	math	math	PROPN
ejpam-5327	377	4	.	.	PUNCT
ejpam-5327	378	1	soc	soc	PROPN
ejpam-5327	378	2	.	.	PUNCT
ejpam-5327	378	3	,	,	PUNCT
ejpam-5327	378	4	4:506–510	4:506–510	NUM
ejpam-5327	378	5	,	,	PUNCT
ejpam-5327	378	6	1963	1963	NUM
ejpam-5327	378	7	.	.	PUNCT
ejpam-5327	379	1	[	[	X
ejpam-5327	379	2	20	20	NUM
ejpam-5327	379	3	]	]	SYM
ejpam-5327	379	4	b	b	NOUN
ejpam-5327	379	5	martinet	martinet	NOUN
ejpam-5327	379	6	.	.	PUNCT
ejpam-5327	380	1	algorithmes	algorithme	NOUN
ejpam-5327	380	2	pour	pour	VERB
ejpam-5327	380	3	la	la	PROPN
ejpam-5327	380	4	resolution	resolution	PROPN
ejpam-5327	380	5	de	de	X
ejpam-5327	380	6	problemes	problemes	PROPN
ejpam-5327	380	7	d	d	PROPN
ejpam-5327	380	8	optimisation	optimisation	NOUN
ejpam-5327	380	9	et	et	NOUN
ejpam-5327	380	10	de	de	X
ejpam-5327	380	11	minimax	minimax	NOUN
ejpam-5327	380	12	.	.	PUNCT
ejpam-5327	380	13	.	.	PUNCT
ejpam-5327	381	1	phd	phd	NOUN
ejpam-5327	381	2	thesis	thesis	PROPN
ejpam-5327	381	3	,	,	PUNCT
ejpam-5327	381	4	univ	univ	PROPN
ejpam-5327	381	5	grenoble	grenoble	PROPN
ejpam-5327	381	6	,	,	PUNCT
ejpam-5327	381	7	1972	1972	NUM
ejpam-5327	381	8	.	.	PUNCT
ejpam-5327	382	1	[	[	X
ejpam-5327	382	2	21	21	NUM
ejpam-5327	382	3	]	]	PUNCT
ejpam-5327	382	4	a	a	DET
ejpam-5327	382	5	e	e	NOUN
ejpam-5327	382	6	ofem	ofem	PROPN
ejpam-5327	382	7	,	,	PUNCT
ejpam-5327	382	8	a	a	DET
ejpam-5327	382	9	a	a	DET
ejpam-5327	382	10	mebawondu1	mebawondu1	NOUN
ejpam-5327	382	11	,	,	PUNCT
ejpam-5327	382	12	g	g	PROPN
ejpam-5327	382	13	c	c	PROPN
ejpam-5327	382	14	ugwunnadi	ugwunnadi	NOUN
ejpam-5327	382	15	,	,	PUNCT
ejpam-5327	382	16	p	p	PROPN
ejpam-5327	382	17	cholamjiak	cholamjiak	NOUN
ejpam-5327	382	18	,	,	PUNCT
ejpam-5327	382	19	and	and	CCONJ
ejpam-5327	382	20	o	o	X
ejpam-5327	382	21	k	k	PROPN
ejpam-5327	382	22	narain	narain	PROPN
ejpam-5327	382	23	.	.	PUNCT
ejpam-5327	383	1	relaxed	relax	VERB
ejpam-5327	383	2	tseng	tseng	PROPN
ejpam-5327	383	3	splitting	splitting	NOUN
ejpam-5327	383	4	method	method	NOUN
ejpam-5327	383	5	with	with	ADP
ejpam-5327	383	6	double	double	ADJ
ejpam-5327	383	7	inertial	inertial	ADJ
ejpam-5327	383	8	steps	step	NOUN
ejpam-5327	383	9	for	for	ADP
ejpam-5327	383	10	solving	solve	VERB
ejpam-5327	383	11	monotone	monotone	ADJ
ejpam-5327	383	12	inclusions	inclusion	NOUN
ejpam-5327	383	13	and	and	CCONJ
ejpam-5327	383	14	fixed	fix	VERB
ejpam-5327	383	15	point	point	NOUN
ejpam-5327	383	16	problems	problem	NOUN
ejpam-5327	383	17	.	.	PUNCT
ejpam-5327	384	1	numer	numer	PROPN
ejpam-5327	384	2	algor	algor	PROPN
ejpam-5327	384	3	.	.	PUNCT
ejpam-5327	384	4	,	,	PUNCT
ejpam-5327	384	5	340	340	NUM
ejpam-5327	384	6	,	,	PUNCT
ejpam-5327	384	7	2023	2023	NUM
ejpam-5327	384	8	.	.	PUNCT
ejpam-5327	385	1	[	[	X
ejpam-5327	385	2	22	22	NUM
ejpam-5327	385	3	]	]	X
ejpam-5327	385	4	f	f	X
ejpam-5327	385	5	u	u	NOUN
ejpam-5327	385	6	ogbuisi	ogbuisi	VERB
ejpam-5327	385	7	.	.	PUNCT
ejpam-5327	386	1	the	the	DET
ejpam-5327	386	2	projection	projection	NOUN
ejpam-5327	386	3	method	method	NOUN
ejpam-5327	386	4	with	with	ADP
ejpam-5327	386	5	inertial	inertial	ADJ
ejpam-5327	386	6	extrapolation	extrapolation	NOUN
ejpam-5327	386	7	for	for	ADP
ejpam-5327	386	8	solving	solve	VERB
ejpam-5327	386	9	split	split	VERB
ejpam-5327	386	10	equilibrium	equilibrium	NOUN
ejpam-5327	386	11	problems	problem	NOUN
ejpam-5327	386	12	in	in	ADP
ejpam-5327	386	13	hilbert	hilbert	PROPN
ejpam-5327	386	14	spaces	space	NOUN
ejpam-5327	386	15	.	.	PUNCT
ejpam-5327	387	1	appl	appl	PROPN
ejpam-5327	387	2	.	.	PUNCT
ejpam-5327	387	3	set	set	NOUN
ejpam-5327	387	4	-	-	PUNCT
ejpam-5327	387	5	valued	value	VERB
ejpam-5327	387	6	anal	anal	NOUN
ejpam-5327	387	7	.	.	PUNCT
ejpam-5327	388	1	optim	optim	PROPN
ejpam-5327	388	2	.	.	PROPN
ejpam-5327	388	3	,	,	PUNCT
ejpam-5327	388	4	3:239–255	3:239–255	NUM
ejpam-5327	388	5	,	,	PUNCT
ejpam-5327	388	6	2021	2021	NUM
ejpam-5327	388	7	.	.	PUNCT
ejpam-5327	389	1	[	[	X
ejpam-5327	389	2	23	23	NUM
ejpam-5327	389	3	]	]	SYM
ejpam-5327	389	4	s	s	X
ejpam-5327	389	5	i	i	PRON
ejpam-5327	389	6	olaniyi	olaniyi	NOUN
ejpam-5327	389	7	and	and	CCONJ
ejpam-5327	389	8	y	y	PROPN
ejpam-5327	389	9	shehu	shehu	NOUN
ejpam-5327	389	10	.	.	PUNCT
ejpam-5327	390	1	convergence	convergence	NOUN
ejpam-5327	390	2	results	result	NOUN
ejpam-5327	390	3	of	of	ADP
ejpam-5327	390	4	two	two	NUM
ejpam-5327	390	5	-	-	PUNCT
ejpam-5327	390	6	step	step	NOUN
ejpam-5327	390	7	inertial	inertial	ADJ
ejpam-5327	390	8	proximal	proximal	ADJ
ejpam-5327	390	9	point	point	NOUN
ejpam-5327	390	10	algorithm	algorithm	NOUN
ejpam-5327	390	11	.	.	PUNCT
ejpam-5327	391	1	applied	apply	VERB
ejpam-5327	391	2	numer	numer	PROPN
ejpam-5327	391	3	.	.	PUNCT
ejpam-5327	391	4	math	math	PROPN
ejpam-5327	391	5	.	.	PUNCT
ejpam-5327	391	6	,	,	PUNCT
ejpam-5327	391	7	182:57–75	182:57–75	NUM
ejpam-5327	391	8	,	,	PUNCT
ejpam-5327	391	9	2022	2022	NUM
ejpam-5327	391	10	.	.	PUNCT
ejpam-5327	392	1	[	[	X
ejpam-5327	392	2	24	24	NUM
ejpam-5327	392	3	]	]	PUNCT
ejpam-5327	392	4	z	z	NOUN
ejpam-5327	392	5	opial	opial	NOUN
ejpam-5327	392	6	.	.	PUNCT
ejpam-5327	393	1	weak	weak	ADJ
ejpam-5327	393	2	convergence	convergence	NOUN
ejpam-5327	393	3	of	of	ADP
ejpam-5327	393	4	successive	successive	ADJ
ejpam-5327	393	5	approximations	approximation	NOUN
ejpam-5327	393	6	for	for	ADP
ejpam-5327	393	7	nonexpansive	nonexpansive	ADJ
ejpam-5327	393	8	mappings	mapping	NOUN
ejpam-5327	393	9	.	.	PUNCT
ejpam-5327	394	1	bull	bull	NOUN
ejpam-5327	394	2	.	.	PUNCT
ejpam-5327	395	1	amer	amer	PROPN
ejpam-5327	395	2	.	.	PUNCT
ejpam-5327	395	3	math	math	PROPN
ejpam-5327	395	4	.	.	PUNCT
ejpam-5327	396	1	soc	soc	PROPN
ejpam-5327	396	2	.	.	PUNCT
ejpam-5327	396	3	,	,	PUNCT
ejpam-5327	397	1	73:591–597	73:591–597	NOUN
ejpam-5327	397	2	,	,	PUNCT
ejpam-5327	397	3	1967	1967	NUM
ejpam-5327	397	4	.	.	PUNCT
ejpam-5327	398	1	[	[	X
ejpam-5327	398	2	25	25	NUM
ejpam-5327	398	3	]	]	PUNCT
ejpam-5327	398	4	m	m	VERB
ejpam-5327	398	5	o	o	NOUN
ejpam-5327	398	6	osilike	osilike	ADP
ejpam-5327	398	7	,	,	PUNCT
ejpam-5327	398	8	a	a	DET
ejpam-5327	398	9	udomene	udomene	NOUN
ejpam-5327	398	10	,	,	PUNCT
ejpam-5327	398	11	d	d	NOUN
ejpam-5327	398	12	i	i	PRON
ejpam-5327	398	13	igbokwe	igbokwe	VERB
ejpam-5327	398	14	,	,	PUNCT
ejpam-5327	398	15	and	and	CCONJ
ejpam-5327	398	16	b	b	X
ejpam-5327	398	17	g	g	PROPN
ejpam-5327	398	18	akuchu	akuchu	PROPN
ejpam-5327	398	19	.	.	PUNCT
ejpam-5327	399	1	demiclosedness	demiclosedness	PROPN
ejpam-5327	399	2	principle	principle	NOUN
ejpam-5327	399	3	and	and	CCONJ
ejpam-5327	399	4	convergence	convergence	NOUN
ejpam-5327	399	5	theorems	theorem	NOUN
ejpam-5327	399	6	for	for	ADP
ejpam-5327	399	7	k	k	NOUN
ejpam-5327	399	8	-	-	PUNCT
ejpam-5327	399	9	strictly	strictly	ADV
ejpam-5327	399	10	asymptotically	asymptotically	ADV
ejpam-5327	399	11	pseudocontractive	pseudocontractive	ADJ
ejpam-5327	399	12	maps	map	NOUN
ejpam-5327	399	13	.	.	PUNCT
ejpam-5327	400	1	j.	j.	PROPN
ejpam-5327	400	2	math	math	PROPN
ejpam-5327	400	3	.	.	PUNCT
ejpam-5327	401	1	anal	anal	PROPN
ejpam-5327	401	2	.	.	PUNCT
ejpam-5327	402	1	appl	appl	PROPN
ejpam-5327	402	2	.	.	PROPN
ejpam-5327	402	3	,	,	PUNCT
ejpam-5327	402	4	326:1334–1345	326:1334–1345	PROPN
ejpam-5327	402	5	,	,	PUNCT
ejpam-5327	402	6	2007	2007	NUM
ejpam-5327	402	7	.	.	PUNCT
ejpam-5327	403	1	[	[	X
ejpam-5327	403	2	26	26	NUM
ejpam-5327	403	3	]	]	X
ejpam-5327	403	4	c	c	NOUN
ejpam-5327	403	5	poon	poon	NOUN
ejpam-5327	403	6	and	and	CCONJ
ejpam-5327	403	7	j	j	PROPN
ejpam-5327	403	8	liang	liang	PROPN
ejpam-5327	403	9	.	.	PUNCT
ejpam-5327	403	10	geometry	geometry	NOUN
ejpam-5327	403	11	of	of	ADP
ejpam-5327	403	12	first	first	ADJ
ejpam-5327	403	13	order	order	NOUN
ejpam-5327	403	14	methods	method	NOUN
ejpam-5327	403	15	and	and	CCONJ
ejpam-5327	403	16	acceleration	acceleration	NOUN
ejpam-5327	403	17	.	.	PUNCT
ejpam-5327	403	18	.	.	PUNCT
ejpam-5327	404	1	arxiv:2003.03910v2	arxiv:2003.03910v2	NOUN
ejpam-5327	404	2	,	,	PUNCT
ejpam-5327	404	3	[	[	X
ejpam-5327	404	4	math.oc	math.oc	X
ejpam-5327	404	5	]	]	X
ejpam-5327	404	6	,	,	PUNCT
ejpam-5327	404	7	2003	2003	NUM
ejpam-5327	404	8	.	.	PUNCT
ejpam-5327	405	1	references	reference	NOUN
ejpam-5327	405	2	2263	2263	NUM
ejpam-5327	406	1	[	[	X
ejpam-5327	406	2	27	27	NUM
ejpam-5327	406	3	]	]	PUNCT
ejpam-5327	406	4	x	x	SYM
ejpam-5327	406	5	qin	qin	PROPN
ejpam-5327	406	6	and	and	CCONJ
ejpam-5327	406	7	j	j	PROPN
ejpam-5327	406	8	c	c	PROPN
ejpam-5327	406	9	yao	yao	PROPN
ejpam-5327	406	10	.	.	PUNCT
ejpam-5327	407	1	weak	weak	ADJ
ejpam-5327	407	2	convergence	convergence	NOUN
ejpam-5327	407	3	of	of	ADP
ejpam-5327	407	4	a	a	DET
ejpam-5327	407	5	mann	mann	NOUN
ejpam-5327	407	6	-	-	PUNCT
ejpam-5327	407	7	like	like	ADJ
ejpam-5327	407	8	algorithm	algorithm	NOUN
ejpam-5327	407	9	for	for	ADP
ejpam-5327	407	10	nonexpansive	nonexpansive	ADJ
ejpam-5327	407	11	and	and	CCONJ
ejpam-5327	407	12	accretive	accretive	ADJ
ejpam-5327	407	13	operators	operator	NOUN
ejpam-5327	407	14	.	.	PUNCT
ejpam-5327	408	1	j.	j.	PROPN
ejpam-5327	408	2	inequal	inequal	PROPN
ejpam-5327	408	3	.	.	PUNCT
ejpam-5327	409	1	appl	appl	PROPN
ejpam-5327	409	2	.	.	PROPN
ejpam-5327	409	3	,	,	PUNCT
ejpam-5327	409	4	article	article	NOUN
ejpam-5327	410	1	i	i	PROPN
ejpam-5327	410	2	d	d	PROPN
ejpam-5327	410	3	232	232	NUM
ejpam-5327	410	4	,	,	PUNCT
ejpam-5327	410	5	2016	2016	NUM
ejpam-5327	410	6	.	.	PUNCT
ejpam-5327	411	1	[	[	X
ejpam-5327	411	2	28	28	NUM
ejpam-5327	411	3	]	]	X
ejpam-5327	411	4	r	r	NOUN
ejpam-5327	411	5	t	t	NOUN
ejpam-5327	411	6	rockafellar	rockafellar	ADJ
ejpam-5327	411	7	.	.	PUNCT
ejpam-5327	412	1	on	on	ADP
ejpam-5327	412	2	the	the	DET
ejpam-5327	412	3	maximal	maximal	ADJ
ejpam-5327	412	4	monotonicity	monotonicity	NOUN
ejpam-5327	412	5	of	of	ADP
ejpam-5327	412	6	subdifferential	subdifferential	ADJ
ejpam-5327	412	7	mappings	mapping	NOUN
ejpam-5327	412	8	.	.	PUNCT
ejpam-5327	413	1	pacific	pacific	PROPN
ejpam-5327	413	2	j.	j.	PROPN
ejpam-5327	413	3	math	math	PROPN
ejpam-5327	413	4	,	,	PUNCT
ejpam-5327	413	5	33(1):209–616	33(1):209–616	NUM
ejpam-5327	413	6	,	,	PUNCT
ejpam-5327	413	7	1970	1970	NUM
ejpam-5327	413	8	.	.	PUNCT
ejpam-5327	414	1	[	[	X
ejpam-5327	414	2	29	29	NUM
ejpam-5327	414	3	]	]	X
ejpam-5327	414	4	k	k	PROPN
ejpam-5327	414	5	sakurai	sakurai	PROPN
ejpam-5327	414	6	and	and	CCONJ
ejpam-5327	414	7	h	h	PROPN
ejpam-5327	414	8	liduka	liduka	PROPN
ejpam-5327	414	9	.	.	PUNCT
ejpam-5327	415	1	acceleration	acceleration	NOUN
ejpam-5327	415	2	of	of	ADP
ejpam-5327	415	3	the	the	DET
ejpam-5327	415	4	halpern	halpern	ADJ
ejpam-5327	415	5	algorithm	algorithm	NOUN
ejpam-5327	415	6	to	to	PART
ejpam-5327	415	7	search	search	VERB
ejpam-5327	415	8	for	for	ADP
ejpam-5327	415	9	a	a	DET
ejpam-5327	415	10	fixed	fix	VERB
ejpam-5327	415	11	point	point	NOUN
ejpam-5327	415	12	of	of	ADP
ejpam-5327	415	13	a	a	DET
ejpam-5327	415	14	nonexpansive	nonexpansive	ADJ
ejpam-5327	415	15	mapping	mapping	NOUN
ejpam-5327	415	16	.	.	PUNCT
ejpam-5327	416	1	fixed	fix	VERB
ejpam-5327	416	2	point	point	NOUN
ejpam-5327	416	3	theory	theory	NOUN
ejpam-5327	416	4	appl	appl	PROPN
ejpam-5327	416	5	.	.	PROPN
ejpam-5327	416	6	,	,	PUNCT
ejpam-5327	416	7	202	202	NUM
ejpam-5327	416	8	,	,	PUNCT
ejpam-5327	416	9	2014	2014	NUM
ejpam-5327	416	10	.	.	PUNCT
ejpam-5327	417	1	[	[	X
ejpam-5327	417	2	30	30	NUM
ejpam-5327	417	3	]	]	X
ejpam-5327	417	4	y	y	PROPN
ejpam-5327	417	5	shehu	shehu	PROPN
ejpam-5327	417	6	,	,	PUNCT
ejpam-5327	417	7	c	c	PROPN
ejpam-5327	417	8	izuchukwu	izuchukwu	NOUN
ejpam-5327	417	9	,	,	PUNCT
ejpam-5327	417	10	x	x	X
ejpam-5327	417	11	qin	qin	INTJ
ejpam-5327	417	12	,	,	PUNCT
ejpam-5327	417	13	and	and	CCONJ
ejpam-5327	417	14	j	j	PROPN
ejpam-5327	417	15	c	c	PROPN
ejpam-5327	417	16	yao	yao	PROPN
ejpam-5327	417	17	.	.	PUNCT
ejpam-5327	418	1	strongly	strongly	ADV
ejpam-5327	418	2	convergent	convergent	ADJ
ejpam-5327	418	3	inertial	inertial	ADJ
ejpam-5327	418	4	extragradient	extragradient	NOUN
ejpam-5327	418	5	type	type	NOUN
ejpam-5327	418	6	methods	method	NOUN
ejpam-5327	418	7	for	for	ADP
ejpam-5327	418	8	equilibrium	equilibrium	NOUN
ejpam-5327	418	9	problems	problem	NOUN
ejpam-5327	418	10	.	.	PUNCT
ejpam-5327	419	1	appl	appl	PROPN
ejpam-5327	419	2	.	.	PUNCT
ejpam-5327	420	1	anal	anal	PROPN
ejpam-5327	420	2	.	.	PROPN
ejpam-5327	420	3	,	,	PUNCT
ejpam-5327	420	4	102(8):2160–2188	102(8):2160–2188	PROPN
ejpam-5327	420	5	,	,	PUNCT
ejpam-5327	420	6	2021	2021	NUM
ejpam-5327	420	7	.	.	PUNCT
ejpam-5327	421	1	[	[	X
ejpam-5327	421	2	31	31	NUM
ejpam-5327	421	3	]	]	X
ejpam-5327	421	4	y	y	PROPN
ejpam-5327	421	5	shehu	shehu	PROPN
ejpam-5327	421	6	and	and	CCONJ
ejpam-5327	421	7	j	j	PROPN
ejpam-5327	421	8	c	c	PROPN
ejpam-5327	421	9	yao	yao	PROPN
ejpam-5327	421	10	.	.	PUNCT
ejpam-5327	422	1	rate	rate	NOUN
ejpam-5327	422	2	of	of	ADP
ejpam-5327	422	3	convergence	convergence	NOUN
ejpam-5327	422	4	for	for	ADP
ejpam-5327	422	5	inertial	inertial	ADJ
ejpam-5327	422	6	iterative	iterative	NOUN
ejpam-5327	422	7	method	method	NOUN
ejpam-5327	422	8	for	for	ADP
ejpam-5327	422	9	countable	countable	ADJ
ejpam-5327	422	10	family	family	NOUN
ejpam-5327	422	11	of	of	ADP
ejpam-5327	422	12	certain	certain	ADJ
ejpam-5327	422	13	quasi	quasi	ADJ
ejpam-5327	422	14	-	-	ADJ
ejpam-5327	422	15	nonexpansive	nonexpansive	ADJ
ejpam-5327	422	16	mappings	mapping	NOUN
ejpam-5327	422	17	.	.	PUNCT
ejpam-5327	423	1	j.	j.	PROPN
ejpam-5327	423	2	nonlinear	nonlinear	PROPN
ejpam-5327	423	3	convex	convex	PROPN
ejpam-5327	423	4	anal	anal	NOUN
ejpam-5327	423	5	.	.	PUNCT
ejpam-5327	423	6	,	,	PUNCT
ejpam-5327	423	7	21:533	21:533	NUM
ejpam-5327	423	8	–	–	PUNCT
ejpam-5327	423	9	541	541	NUM
ejpam-5327	423	10	,	,	PUNCT
ejpam-5327	423	11	2020	2020	NUM
ejpam-5327	423	12	.	.	PUNCT
ejpam-5327	424	1	[	[	X
ejpam-5327	424	2	32	32	NUM
ejpam-5327	424	3	]	]	SYM
ejpam-5327	424	4	b	b	PROPN
ejpam-5327	424	5	tan	tan	PROPN
ejpam-5327	424	6	and	and	CCONJ
ejpam-5327	424	7	s	s	VERB
ejpam-5327	424	8	xu	xu	PROPN
ejpam-5327	424	9	.	.	PUNCT
ejpam-5327	425	1	strong	strong	ADJ
ejpam-5327	425	2	convergence	convergence	NOUN
ejpam-5327	425	3	of	of	ADP
ejpam-5327	425	4	two	two	NUM
ejpam-5327	425	5	inertial	inertial	ADJ
ejpam-5327	425	6	projection	projection	NOUN
ejpam-5327	425	7	algorithms	algorithm	NOUN
ejpam-5327	425	8	in	in	ADP
ejpam-5327	425	9	hilbert	hilbert	PROPN
ejpam-5327	425	10	spaces	space	NOUN
ejpam-5327	425	11	.	.	PUNCT
ejpam-5327	426	1	j.	j.	PROPN
ejpam-5327	426	2	appl	appl	PROPN
ejpam-5327	426	3	.	.	PUNCT
ejpam-5327	427	1	numer	numer	PROPN
ejpam-5327	427	2	.	.	PROPN
ejpam-5327	428	1	optim	optim	PROPN
ejpam-5327	428	2	.	.	PROPN
ejpam-5327	428	3	,	,	PUNCT
ejpam-5327	428	4	2:171–186	2:171–186	NUM
ejpam-5327	428	5	,	,	PUNCT
ejpam-5327	428	6	2020	2020	NUM
ejpam-5327	428	7	.	.	PUNCT
ejpam-5327	429	1	[	[	X
ejpam-5327	429	2	33	33	NUM
ejpam-5327	429	3	]	]	X
ejpam-5327	429	4	h	h	NOUN
ejpam-5327	429	5	k	k	PROPN
ejpam-5327	429	6	xu	xu	PROPN
ejpam-5327	429	7	.	.	PUNCT
ejpam-5327	430	1	inequalities	inequality	NOUN
ejpam-5327	430	2	in	in	ADP
ejpam-5327	430	3	banach	banach	NOUN
ejpam-5327	430	4	spaces	space	NOUN
ejpam-5327	430	5	with	with	ADP
ejpam-5327	430	6	applications	application	NOUN
ejpam-5327	430	7	.	.	PUNCT
ejpam-5327	431	1	nonlinear	nonlinear	ADJ
ejpam-5327	431	2	analysis	analysis	NOUN
ejpam-5327	431	3	,	,	PUNCT
ejpam-5327	431	4	16(2):1127–1138	16(2):1127–1138	NUM
ejpam-5327	431	5	,	,	PUNCT
ejpam-5327	431	6	1991	1991	NUM
ejpam-5327	431	7	.	.	PUNCT
ejpam-5327	432	1	[	[	X
ejpam-5327	432	2	34	34	NUM
ejpam-5327	432	3	]	]	X
ejpam-5327	432	4	y	y	PROPN
ejpam-5327	432	5	yao	yao	PROPN
ejpam-5327	432	6	,	,	PUNCT
ejpam-5327	432	7	o	o	PROPN
ejpam-5327	432	8	s	s	X
ejpam-5327	432	9	iyiola	iyiola	NOUN
ejpam-5327	432	10	,	,	PUNCT
ejpam-5327	432	11	and	and	CCONJ
ejpam-5327	432	12	y	y	PROPN
ejpam-5327	432	13	shehu	shehu	NOUN
ejpam-5327	432	14	.	.	PUNCT
ejpam-5327	433	1	subgradient	subgradient	ADJ
ejpam-5327	433	2	extragradient	extragradient	PROPN
ejpam-5327	433	3	method	method	NOUN
ejpam-5327	433	4	with	with	ADP
ejpam-5327	433	5	double	double	ADJ
ejpam-5327	433	6	inertial	inertial	ADJ
ejpam-5327	433	7	steps	step	NOUN
ejpam-5327	433	8	for	for	ADP
ejpam-5327	433	9	variational	variational	ADJ
ejpam-5327	433	10	inequalities	inequality	NOUN
ejpam-5327	433	11	.	.	PUNCT
ejpam-5327	434	1	j	j	PROPN
ejpam-5327	434	2	sci	sci	PROPN
ejpam-5327	434	3	.	.	PUNCT
ejpam-5327	434	4	comput	comput	PROPN
ejpam-5327	434	5	.	.	PUNCT
ejpam-5327	434	6	,	,	PUNCT
ejpam-5327	434	7	90(71	90(71	NUM
ejpam-5327	434	8	)	)	PUNCT
ejpam-5327	434	9	,	,	PUNCT
ejpam-5327	434	10	2022	2022	NUM
ejpam-5327	434	11	.	.	PUNCT