id	sid	tid	token	lemma	pos
ejpam-2911	1	1	european	european	PROPN
ejpam-2911	1	2	journal	journal	PROPN
ejpam-2911	1	3	of	of	ADP
ejpam-2911	1	4	pure	pure	ADJ
ejpam-2911	1	5	and	and	CCONJ
ejpam-2911	1	6	applied	apply	VERB
ejpam-2911	1	7	mathematics	mathematic	NOUN
ejpam-2911	1	8	vol	vol	NOUN
ejpam-2911	1	9	.	.	PUNCT
ejpam-2911	2	1	11	11	NUM
ejpam-2911	2	2	,	,	PUNCT
ejpam-2911	2	3	no	no	INTJ
ejpam-2911	2	4	.	.	NOUN
ejpam-2911	2	5	1	1	NUM
ejpam-2911	2	6	,	,	PUNCT
ejpam-2911	2	7	2018	2018	NUM
ejpam-2911	2	8	,	,	PUNCT
ejpam-2911	2	9	189	189	NUM
ejpam-2911	2	10	-	-	SYM
ejpam-2911	2	11	201	201	NUM
ejpam-2911	2	12	issn	issn	PROPN
ejpam-2911	2	13	1307	1307	NUM
ejpam-2911	2	14	-	-	SYM
ejpam-2911	2	15	5543	5543	NUM
ejpam-2911	2	16	–	–	PUNCT
ejpam-2911	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-2911	2	18	published	publish	VERB
ejpam-2911	2	19	by	by	ADP
ejpam-2911	2	20	new	new	PROPN
ejpam-2911	2	21	york	york	PROPN
ejpam-2911	2	22	business	business	PROPN
ejpam-2911	2	23	global	global	ADJ
ejpam-2911	2	24	convergence	convergence	NOUN
ejpam-2911	2	25	rate	rate	NOUN
ejpam-2911	2	26	of	of	ADP
ejpam-2911	2	27	implicit	implicit	ADJ
ejpam-2911	2	28	iteration	iteration	NOUN
ejpam-2911	2	29	process	process	NOUN
ejpam-2911	2	30	and	and	CCONJ
ejpam-2911	2	31	a	a	DET
ejpam-2911	2	32	data	data	NOUN
ejpam-2911	2	33	dependence	dependence	NOUN
ejpam-2911	2	34	result	result	NOUN
ejpam-2911	2	35	isa	isa	PROPN
ejpam-2911	2	36	yildirim1,∗	yildirim1,∗	PROPN
ejpam-2911	2	37	,	,	PUNCT
ejpam-2911	2	38	mujahid	mujahid	PROPN
ejpam-2911	2	39	abbas2	abbas2	PROPN
ejpam-2911	2	40	1	1	NUM
ejpam-2911	2	41	department	department	NOUN
ejpam-2911	2	42	of	of	ADP
ejpam-2911	2	43	mathematics	mathematic	NOUN
ejpam-2911	2	44	,	,	PUNCT
ejpam-2911	2	45	faculty	faculty	NOUN
ejpam-2911	2	46	of	of	ADP
ejpam-2911	2	47	science	science	NOUN
ejpam-2911	2	48	,	,	PUNCT
ejpam-2911	2	49	ataturk	ataturk	PROPN
ejpam-2911	2	50	university	university	PROPN
ejpam-2911	2	51	,	,	PUNCT
ejpam-2911	2	52	erzurum	erzurum	PROPN
ejpam-2911	2	53	25240	25240	NUM
ejpam-2911	2	54	,	,	PUNCT
ejpam-2911	2	55	turkey	turkey	PROPN
ejpam-2911	2	56	2	2	NUM
ejpam-2911	2	57	department	department	NOUN
ejpam-2911	2	58	of	of	ADP
ejpam-2911	2	59	mathematics	mathematics	PROPN
ejpam-2911	2	60	,	,	PUNCT
ejpam-2911	2	61	gc	gc	PROPN
ejpam-2911	2	62	university	university	NOUN
ejpam-2911	2	63	,	,	PUNCT
ejpam-2911	2	64	katchery	katchery	NOUN
ejpam-2911	2	65	road	road	NOUN
ejpam-2911	2	66	,	,	PUNCT
ejpam-2911	2	67	lahore	lahore	NOUN
ejpam-2911	2	68	54000	54000	NUM
ejpam-2911	2	69	,	,	PUNCT
ejpam-2911	2	70	pakistan	pakistan	PROPN
ejpam-2911	2	71	abstract	abstract	NOUN
ejpam-2911	2	72	.	.	PUNCT
ejpam-2911	3	1	the	the	DET
ejpam-2911	3	2	aim	aim	NOUN
ejpam-2911	3	3	of	of	ADP
ejpam-2911	3	4	this	this	DET
ejpam-2911	3	5	paper	paper	NOUN
ejpam-2911	3	6	is	be	AUX
ejpam-2911	3	7	to	to	PART
ejpam-2911	3	8	introduce	introduce	VERB
ejpam-2911	3	9	an	an	DET
ejpam-2911	3	10	implicit	implicit	ADJ
ejpam-2911	3	11	s	s	NOUN
ejpam-2911	3	12	-	-	PUNCT
ejpam-2911	3	13	iteration	iteration	NOUN
ejpam-2911	3	14	process	process	NOUN
ejpam-2911	3	15	and	and	CCONJ
ejpam-2911	3	16	study	study	VERB
ejpam-2911	3	17	its	its	PRON
ejpam-2911	3	18	convergence	convergence	NOUN
ejpam-2911	3	19	in	in	ADP
ejpam-2911	3	20	the	the	DET
ejpam-2911	3	21	framework	framework	NOUN
ejpam-2911	3	22	of	of	ADP
ejpam-2911	3	23	w	w	NOUN
ejpam-2911	3	24	-	-	ADJ
ejpam-2911	3	25	hyperbolic	hyperbolic	ADJ
ejpam-2911	3	26	spaces	space	NOUN
ejpam-2911	3	27	.	.	PUNCT
ejpam-2911	4	1	we	we	PRON
ejpam-2911	4	2	show	show	VERB
ejpam-2911	4	3	that	that	SCONJ
ejpam-2911	4	4	the	the	DET
ejpam-2911	4	5	implicit	implicit	ADJ
ejpam-2911	4	6	s	s	NOUN
ejpam-2911	4	7	-	-	PUNCT
ejpam-2911	4	8	iteration	iteration	NOUN
ejpam-2911	4	9	process	process	NOUN
ejpam-2911	4	10	has	have	VERB
ejpam-2911	4	11	higher	high	ADJ
ejpam-2911	4	12	rate	rate	NOUN
ejpam-2911	4	13	of	of	ADP
ejpam-2911	4	14	convergence	convergence	NOUN
ejpam-2911	4	15	than	than	ADP
ejpam-2911	4	16	implicit	implicit	ADJ
ejpam-2911	4	17	mann	mann	NOUN
ejpam-2911	4	18	type	type	NOUN
ejpam-2911	4	19	iteration	iteration	NOUN
ejpam-2911	4	20	and	and	CCONJ
ejpam-2911	4	21	implicit	implicit	ADJ
ejpam-2911	4	22	ishikawatype	ishikawatype	NOUN
ejpam-2911	4	23	iteration	iteration	NOUN
ejpam-2911	4	24	processes	process	NOUN
ejpam-2911	4	25	.	.	PUNCT
ejpam-2911	5	1	we	we	PRON
ejpam-2911	5	2	present	present	VERB
ejpam-2911	5	3	a	a	DET
ejpam-2911	5	4	numerical	numerical	ADJ
ejpam-2911	5	5	example	example	NOUN
ejpam-2911	5	6	to	to	PART
ejpam-2911	5	7	support	support	VERB
ejpam-2911	5	8	the	the	DET
ejpam-2911	5	9	analytic	analytic	ADJ
ejpam-2911	5	10	result	result	NOUN
ejpam-2911	5	11	proved	prove	VERB
ejpam-2911	5	12	herein	herein	NOUN
ejpam-2911	5	13	.	.	PUNCT
ejpam-2911	6	1	finally	finally	ADV
ejpam-2911	6	2	,	,	PUNCT
ejpam-2911	6	3	we	we	PRON
ejpam-2911	6	4	prove	prove	VERB
ejpam-2911	6	5	a	a	DET
ejpam-2911	6	6	data	data	NOUN
ejpam-2911	6	7	dependence	dependence	NOUN
ejpam-2911	6	8	result	result	NOUN
ejpam-2911	6	9	for	for	ADP
ejpam-2911	6	10	a	a	DET
ejpam-2911	6	11	contractive	contractive	ADJ
ejpam-2911	6	12	type	type	NOUN
ejpam-2911	6	13	mapping	mapping	NOUN
ejpam-2911	6	14	using	use	VERB
ejpam-2911	6	15	implicit	implicit	ADJ
ejpam-2911	6	16	s	s	NOUN
ejpam-2911	6	17	-	-	PUNCT
ejpam-2911	6	18	iteration	iteration	NOUN
ejpam-2911	6	19	process	process	NOUN
ejpam-2911	6	20	.	.	PUNCT
ejpam-2911	7	1	2010	2010	NUM
ejpam-2911	7	2	mathematics	mathematic	NOUN
ejpam-2911	7	3	subject	subject	NOUN
ejpam-2911	7	4	classifications	classification	NOUN
ejpam-2911	7	5	:	:	PUNCT
ejpam-2911	7	6	ams	am	NOUN
ejpam-2911	7	7	47h10	47h10	NUM
ejpam-2911	7	8	,	,	PUNCT
ejpam-2911	7	9	54h25	54h25	NUM
ejpam-2911	7	10	key	key	ADJ
ejpam-2911	7	11	words	word	NOUN
ejpam-2911	7	12	and	and	CCONJ
ejpam-2911	7	13	phrases	phrase	NOUN
ejpam-2911	7	14	:	:	PUNCT
ejpam-2911	7	15	implicit	implicit	ADJ
ejpam-2911	7	16	iterations	iteration	NOUN
ejpam-2911	7	17	,	,	PUNCT
ejpam-2911	7	18	convergence	convergence	NOUN
ejpam-2911	7	19	rate	rate	NOUN
ejpam-2911	7	20	,	,	PUNCT
ejpam-2911	7	21	data	datum	NOUN
ejpam-2911	7	22	dependence	dependence	NOUN
ejpam-2911	7	23	1	1	NUM
ejpam-2911	7	24	.	.	PUNCT
ejpam-2911	7	25	introduction	introduction	NOUN
ejpam-2911	7	26	and	and	CCONJ
ejpam-2911	7	27	preliminaries	preliminary	NOUN
ejpam-2911	7	28	throughout	throughout	ADP
ejpam-2911	7	29	this	this	DET
ejpam-2911	7	30	paper	paper	NOUN
ejpam-2911	7	31	,	,	PUNCT
ejpam-2911	7	32	the	the	DET
ejpam-2911	7	33	letter	letter	NOUN
ejpam-2911	7	34	n	n	PRON
ejpam-2911	7	35	will	will	AUX
ejpam-2911	7	36	denote	denote	VERB
ejpam-2911	7	37	the	the	DET
ejpam-2911	7	38	set	set	NOUN
ejpam-2911	7	39	of	of	ADP
ejpam-2911	7	40	natural	natural	ADJ
ejpam-2911	7	41	numbers	number	NOUN
ejpam-2911	7	42	.	.	PUNCT
ejpam-2911	8	1	the	the	DET
ejpam-2911	8	2	theory	theory	NOUN
ejpam-2911	8	3	of	of	ADP
ejpam-2911	8	4	fixed	fix	VERB
ejpam-2911	8	5	points	point	NOUN
ejpam-2911	8	6	deals	deal	NOUN
ejpam-2911	8	7	with	with	ADP
ejpam-2911	8	8	the	the	DET
ejpam-2911	8	9	conditions	condition	NOUN
ejpam-2911	8	10	which	which	PRON
ejpam-2911	8	11	guarantee	guarantee	VERB
ejpam-2911	8	12	that	that	SCONJ
ejpam-2911	8	13	a	a	DET
ejpam-2911	8	14	mapping	mapping	NOUN
ejpam-2911	8	15	t	t	NOUN
ejpam-2911	8	16	of	of	ADP
ejpam-2911	8	17	a	a	DET
ejpam-2911	8	18	set	set	NOUN
ejpam-2911	8	19	x	x	PUNCT
ejpam-2911	8	20	into	into	ADP
ejpam-2911	8	21	itself	itself	PRON
ejpam-2911	8	22	admits	admit	VERB
ejpam-2911	8	23	one	one	NUM
ejpam-2911	8	24	or	or	CCONJ
ejpam-2911	8	25	more	more	ADJ
ejpam-2911	8	26	fixed	fix	VERB
ejpam-2911	8	27	points	point	NOUN
ejpam-2911	8	28	,	,	PUNCT
ejpam-2911	8	29	that	that	ADV
ejpam-2911	8	30	is	is	ADV
ejpam-2911	8	31	,	,	PUNCT
ejpam-2911	8	32	points	point	NOUN
ejpam-2911	8	33	x	x	PUNCT
ejpam-2911	8	34	of	of	ADP
ejpam-2911	8	35	x	x	PRON
ejpam-2911	8	36	which	which	PRON
ejpam-2911	8	37	solve	solve	VERB
ejpam-2911	8	38	an	an	DET
ejpam-2911	8	39	operator	operator	NOUN
ejpam-2911	8	40	equation	equation	NOUN
ejpam-2911	8	41	x	x	PUNCT
ejpam-2911	8	42	=	=	SYM
ejpam-2911	8	43	tx	tx	PROPN
ejpam-2911	8	44	,	,	PUNCT
ejpam-2911	8	45	called	call	VERB
ejpam-2911	8	46	a	a	DET
ejpam-2911	8	47	fixed	fix	VERB
ejpam-2911	8	48	point	point	NOUN
ejpam-2911	8	49	equation	equation	NOUN
ejpam-2911	8	50	.	.	PUNCT
ejpam-2911	9	1	fixed	fix	VERB
ejpam-2911	9	2	point	point	NOUN
ejpam-2911	9	3	theory	theory	NOUN
ejpam-2911	9	4	serves	serve	VERB
ejpam-2911	9	5	as	as	ADP
ejpam-2911	9	6	an	an	DET
ejpam-2911	9	7	essential	essential	ADJ
ejpam-2911	9	8	tool	tool	NOUN
ejpam-2911	9	9	for	for	ADP
ejpam-2911	9	10	solving	solve	VERB
ejpam-2911	9	11	problems	problem	NOUN
ejpam-2911	9	12	arising	arise	VERB
ejpam-2911	9	13	in	in	ADP
ejpam-2911	9	14	various	various	ADJ
ejpam-2911	9	15	branches	branch	NOUN
ejpam-2911	9	16	of	of	ADP
ejpam-2911	9	17	mathematical	mathematical	ADJ
ejpam-2911	9	18	analysis	analysis	NOUN
ejpam-2911	9	19	.	.	PUNCT
ejpam-2911	10	1	over	over	ADP
ejpam-2911	10	2	the	the	DET
ejpam-2911	10	3	past	past	ADJ
ejpam-2911	10	4	two	two	NUM
ejpam-2911	10	5	decades	decade	NOUN
ejpam-2911	10	6	the	the	DET
ejpam-2911	10	7	development	development	NOUN
ejpam-2911	10	8	of	of	ADP
ejpam-2911	10	9	fixed	fix	VERB
ejpam-2911	10	10	point	point	NOUN
ejpam-2911	10	11	theory	theory	NOUN
ejpam-2911	10	12	in	in	ADP
ejpam-2911	10	13	metric	metric	ADJ
ejpam-2911	10	14	spaces	space	NOUN
ejpam-2911	10	15	has	have	AUX
ejpam-2911	10	16	attracted	attract	VERB
ejpam-2911	10	17	considerable	considerable	ADJ
ejpam-2911	10	18	attention	attention	NOUN
ejpam-2911	10	19	due	due	ADP
ejpam-2911	10	20	to	to	ADP
ejpam-2911	10	21	numerous	numerous	ADJ
ejpam-2911	10	22	applications	application	NOUN
ejpam-2911	10	23	in	in	ADP
ejpam-2911	10	24	areas	area	NOUN
ejpam-2911	10	25	such	such	ADJ
ejpam-2911	10	26	as	as	ADP
ejpam-2911	10	27	variational	variational	ADJ
ejpam-2911	10	28	and	and	CCONJ
ejpam-2911	10	29	linear	linear	ADJ
ejpam-2911	10	30	inequalities	inequality	NOUN
ejpam-2911	10	31	,	,	PUNCT
ejpam-2911	10	32	optimization	optimization	NOUN
ejpam-2911	10	33	,	,	PUNCT
ejpam-2911	10	34	and	and	CCONJ
ejpam-2911	10	35	approximation	approximation	NOUN
ejpam-2911	10	36	theory	theory	NOUN
ejpam-2911	10	37	.	.	PUNCT
ejpam-2911	11	1	the	the	DET
ejpam-2911	11	2	set	set	NOUN
ejpam-2911	11	3	{	{	PUNCT
ejpam-2911	11	4	p	p	X
ejpam-2911	11	5	∈	∈	PROPN
ejpam-2911	11	6	x	x	X
ejpam-2911	11	7	:	:	PUNCT
ejpam-2911	11	8	p	p	X
ejpam-2911	11	9	=	=	PUNCT
ejpam-2911	11	10	tp	tp	NOUN
ejpam-2911	11	11	}	}	PUNCT
ejpam-2911	11	12	of	of	ADP
ejpam-2911	11	13	all	all	DET
ejpam-2911	11	14	fixed	fix	VERB
ejpam-2911	11	15	points	point	NOUN
ejpam-2911	11	16	of	of	ADP
ejpam-2911	11	17	t	t	PROPN
ejpam-2911	11	18	is	be	AUX
ejpam-2911	11	19	denoted	denote	VERB
ejpam-2911	11	20	by	by	ADP
ejpam-2911	11	21	f	f	PROPN
ejpam-2911	11	22	(	(	PUNCT
ejpam-2911	11	23	t	t	PROPN
ejpam-2911	11	24	)	)	PUNCT
ejpam-2911	11	25	.	.	PUNCT
ejpam-2911	12	1	one	one	NUM
ejpam-2911	12	2	of	of	ADP
ejpam-2911	12	3	the	the	DET
ejpam-2911	12	4	basic	basic	ADJ
ejpam-2911	12	5	and	and	CCONJ
ejpam-2911	12	6	the	the	DET
ejpam-2911	12	7	most	most	ADV
ejpam-2911	12	8	widely	widely	ADV
ejpam-2911	12	9	applied	apply	VERB
ejpam-2911	12	10	fixed	fix	VERB
ejpam-2911	12	11	point	point	NOUN
ejpam-2911	12	12	theorem	theorem	VERB
ejpam-2911	12	13	in	in	ADP
ejpam-2911	12	14	all	all	PRON
ejpam-2911	12	15	of	of	ADP
ejpam-2911	12	16	analysis	analysis	NOUN
ejpam-2911	12	17	is	be	AUX
ejpam-2911	12	18	”	"	PUNCT
ejpam-2911	12	19	banach	banach	NOUN
ejpam-2911	12	20	(	(	PUNCT
ejpam-2911	12	21	or	or	CCONJ
ejpam-2911	12	22	banachcassioppoli	banachcassioppoli	NOUN
ejpam-2911	12	23	)	)	PUNCT
ejpam-2911	12	24	contraction	contraction	NOUN
ejpam-2911	12	25	principle	principle	NOUN
ejpam-2911	12	26	”	"	PUNCT
ejpam-2911	12	27	due	due	ADP
ejpam-2911	12	28	to	to	ADP
ejpam-2911	12	29	banach	banach	NOUN
ejpam-2911	12	30	[	[	X
ejpam-2911	12	31	2	2	NUM
ejpam-2911	12	32	]	]	PUNCT
ejpam-2911	12	33	.	.	PUNCT
ejpam-2911	13	1	this	this	DET
ejpam-2911	13	2	principle	principle	NOUN
ejpam-2911	13	3	lies	lie	VERB
ejpam-2911	13	4	at	at	ADP
ejpam-2911	13	5	the	the	DET
ejpam-2911	13	6	heart	heart	NOUN
ejpam-2911	13	7	of	of	ADP
ejpam-2911	13	8	metric	metric	ADJ
ejpam-2911	13	9	fixed	fix	VERB
ejpam-2911	13	10	point	point	NOUN
ejpam-2911	13	11	theory	theory	NOUN
ejpam-2911	13	12	.	.	PUNCT
ejpam-2911	14	1	it	it	PRON
ejpam-2911	14	2	states	state	VERB
ejpam-2911	14	3	that	that	SCONJ
ejpam-2911	14	4	if	if	SCONJ
ejpam-2911	14	5	(	(	PUNCT
ejpam-2911	14	6	x	x	NOUN
ejpam-2911	14	7	,	,	PUNCT
ejpam-2911	14	8	d	d	NOUN
ejpam-2911	14	9	)	)	PUNCT
ejpam-2911	14	10	is	be	AUX
ejpam-2911	14	11	a	a	DET
ejpam-2911	14	12	complete	complete	ADJ
ejpam-2911	14	13	metric	metric	ADJ
ejpam-2911	14	14	space	space	NOUN
ejpam-2911	14	15	and	and	CCONJ
ejpam-2911	14	16	t	t	NOUN
ejpam-2911	14	17	:	:	PUNCT
ejpam-2911	14	18	x	x	X
ejpam-2911	14	19	→	→	SYM
ejpam-2911	14	20	x	x	SYM
ejpam-2911	14	21	satisfies	satisfie	NOUN
ejpam-2911	14	22	d(tx	d(tx	PROPN
ejpam-2911	14	23	,	,	PUNCT
ejpam-2911	14	24	ty	ty	NOUN
ejpam-2911	14	25	)	)	PUNCT
ejpam-2911	14	26	≤	≤	NOUN
ejpam-2911	14	27	kd(x	kd(x	PUNCT
ejpam-2911	14	28	,	,	PUNCT
ejpam-2911	14	29	y	y	NOUN
ejpam-2911	14	30	)	)	PUNCT
ejpam-2911	14	31	,	,	PUNCT
ejpam-2911	14	32	∗corresponding	∗corresponde	VERB
ejpam-2911	14	33	author	author	NOUN
ejpam-2911	14	34	.	.	PUNCT
ejpam-2911	15	1	email	email	NOUN
ejpam-2911	15	2	addresses	address	NOUN
ejpam-2911	15	3	:	:	PUNCT
ejpam-2911	15	4	isayildirim@atauni.edu.tr	isayildirim@atauni.edu.tr	PROPN
ejpam-2911	15	5	(	(	PUNCT
ejpam-2911	15	6	i.	i.	PROPN
ejpam-2911	15	7	yildirim	yildirim	PROPN
ejpam-2911	15	8	)	)	PUNCT
ejpam-2911	15	9	,	,	PUNCT
ejpam-2911	15	10	abbas.mujahid@gmail.com	abbas.mujahid@gmail.com	X
ejpam-2911	15	11	(	(	PUNCT
ejpam-2911	15	12	m.	m.	NOUN
ejpam-2911	15	13	abbas	abbas	PROPN
ejpam-2911	15	14	)	)	PUNCT
ejpam-2911	15	15	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-2911	16	1	189	189	NUM
ejpam-2911	16	2	c	c	X
ejpam-2911	16	3	©	©	PROPN
ejpam-2911	16	4	2018	2018	NUM
ejpam-2911	16	5	ejpam	ejpam	VERB
ejpam-2911	16	6	all	all	DET
ejpam-2911	16	7	rights	right	NOUN
ejpam-2911	16	8	reserved	reserve	VERB
ejpam-2911	16	9	.	.	PUNCT
ejpam-2911	17	1	i.	i.	PROPN
ejpam-2911	17	2	yildirim	yildirim	PROPN
ejpam-2911	17	3	,	,	PUNCT
ejpam-2911	17	4	m.	m.	NOUN
ejpam-2911	17	5	abbas	abbas	PROPN
ejpam-2911	17	6	/	/	SYM
ejpam-2911	17	7	eur	eur	PROPN
ejpam-2911	17	8	.	.	PUNCT
ejpam-2911	18	1	j.	j.	PROPN
ejpam-2911	18	2	pure	pure	PROPN
ejpam-2911	18	3	appl	appl	PROPN
ejpam-2911	18	4	.	.	PROPN
ejpam-2911	18	5	math	math	PROPN
ejpam-2911	18	6	,	,	PUNCT
ejpam-2911	18	7	11	11	NUM
ejpam-2911	18	8	(	(	PUNCT
ejpam-2911	18	9	1	1	NUM
ejpam-2911	18	10	)	)	PUNCT
ejpam-2911	18	11	(	(	PUNCT
ejpam-2911	18	12	2018	2018	NUM
ejpam-2911	18	13	)	)	PUNCT
ejpam-2911	18	14	,	,	PUNCT
ejpam-2911	18	15	189	189	NUM
ejpam-2911	18	16	-	-	SYM
ejpam-2911	18	17	201	201	NUM
ejpam-2911	18	18	190	190	NUM
ejpam-2911	18	19	for	for	ADP
ejpam-2911	18	20	all	all	DET
ejpam-2911	18	21	x	x	NOUN
ejpam-2911	18	22	,	,	PUNCT
ejpam-2911	18	23	y	y	PROPN
ejpam-2911	18	24	∈	∈	PROPN
ejpam-2911	18	25	x	x	X
ejpam-2911	18	26	,	,	PUNCT
ejpam-2911	18	27	with	with	ADP
ejpam-2911	18	28	k	k	PROPN
ejpam-2911	18	29	∈	∈	PROPN
ejpam-2911	18	30	(	(	PUNCT
ejpam-2911	18	31	0	0	NUM
ejpam-2911	18	32	,	,	PUNCT
ejpam-2911	18	33	1	1	NUM
ejpam-2911	18	34	)	)	PUNCT
ejpam-2911	18	35	,	,	PUNCT
ejpam-2911	18	36	then	then	ADV
ejpam-2911	18	37	t	t	PROPN
ejpam-2911	18	38	has	have	VERB
ejpam-2911	18	39	a	a	DET
ejpam-2911	18	40	unique	unique	ADJ
ejpam-2911	18	41	fixed	fix	VERB
ejpam-2911	18	42	point	point	NOUN
ejpam-2911	18	43	.	.	PUNCT
ejpam-2911	19	1	due	due	ADP
ejpam-2911	19	2	to	to	ADP
ejpam-2911	19	3	its	its	PRON
ejpam-2911	19	4	applications	application	NOUN
ejpam-2911	19	5	in	in	ADP
ejpam-2911	19	6	mathematics	mathematic	NOUN
ejpam-2911	19	7	and	and	CCONJ
ejpam-2911	19	8	other	other	ADJ
ejpam-2911	19	9	related	related	ADJ
ejpam-2911	19	10	disciplines	discipline	NOUN
ejpam-2911	19	11	,	,	PUNCT
ejpam-2911	19	12	banach	banach	NOUN
ejpam-2911	19	13	contraction	contraction	NOUN
ejpam-2911	19	14	principle	principle	NOUN
ejpam-2911	19	15	has	have	AUX
ejpam-2911	19	16	been	be	AUX
ejpam-2911	19	17	generalized	generalize	VERB
ejpam-2911	19	18	in	in	ADP
ejpam-2911	19	19	many	many	ADJ
ejpam-2911	19	20	directions	direction	NOUN
ejpam-2911	19	21	.	.	PUNCT
ejpam-2911	20	1	zamfirescu	zamfirescu	X
ejpam-2911	21	1	[	[	X
ejpam-2911	21	2	21	21	NUM
ejpam-2911	21	3	]	]	PUNCT
ejpam-2911	21	4	obtained	obtain	VERB
ejpam-2911	21	5	an	an	DET
ejpam-2911	21	6	important	important	ADJ
ejpam-2911	21	7	generalization	generalization	NOUN
ejpam-2911	21	8	of	of	ADP
ejpam-2911	21	9	banach	banach	ADV
ejpam-2911	21	10	fixed	fix	VERB
ejpam-2911	21	11	point	point	NOUN
ejpam-2911	21	12	theorem	theorem	ADJ
ejpam-2911	21	13	using	use	VERB
ejpam-2911	21	14	zamfirescu	zamfirescu	PROPN
ejpam-2911	21	15	mapping	mapping	NOUN
ejpam-2911	21	16	.	.	PUNCT
ejpam-2911	22	1	a	a	DET
ejpam-2911	22	2	self	self	NOUN
ejpam-2911	22	3	mapping	mapping	NOUN
ejpam-2911	22	4	t	t	NOUN
ejpam-2911	22	5	on	on	ADP
ejpam-2911	22	6	a	a	DET
ejpam-2911	22	7	metric	metric	ADJ
ejpam-2911	22	8	space	space	NOUN
ejpam-2911	22	9	x	x	PUNCT
ejpam-2911	22	10	is	be	AUX
ejpam-2911	22	11	called	call	VERB
ejpam-2911	22	12	zamfirescu	zamfirescu	NOUN
ejpam-2911	22	13	mapping	mapping	NOUN
ejpam-2911	22	14	if	if	SCONJ
ejpam-2911	22	15	there	there	PRON
ejpam-2911	22	16	exist	exist	VERB
ejpam-2911	22	17	real	real	ADJ
ejpam-2911	22	18	numbers	number	NOUN
ejpam-2911	22	19	a	a	DET
ejpam-2911	22	20	,	,	PUNCT
ejpam-2911	22	21	b	b	NOUN
ejpam-2911	22	22	,	,	PUNCT
ejpam-2911	22	23	c	c	NOUN
ejpam-2911	22	24	satisfying	satisfy	VERB
ejpam-2911	22	25	0	0	PUNCT
ejpam-2911	23	1	<	<	X
ejpam-2911	24	1	a	a	DET
ejpam-2911	24	2	<	<	X
ejpam-2911	24	3	1	1	NUM
ejpam-2911	24	4	,	,	PUNCT
ejpam-2911	24	5	0	0	NUM
ejpam-2911	24	6	<	<	X
ejpam-2911	24	7	b	b	X
ejpam-2911	24	8	,	,	PUNCT
ejpam-2911	24	9	c	c	PROPN
ejpam-2911	25	1	<	<	X
ejpam-2911	25	2	1/2	1/2	NUM
ejpam-2911	25	3	such	such	ADJ
ejpam-2911	25	4	that	that	SCONJ
ejpam-2911	25	5	at	at	ADV
ejpam-2911	25	6	least	least	ADJ
ejpam-2911	25	7	one	one	NUM
ejpam-2911	25	8	of	of	ADP
ejpam-2911	25	9	the	the	DET
ejpam-2911	25	10	following	follow	VERB
ejpam-2911	25	11	is	be	AUX
ejpam-2911	25	12	true	true	ADJ
ejpam-2911	25	13	:	:	PUNCT
ejpam-2911	25	14			PUNCT
ejpam-2911	25	15	(	(	PUNCT
ejpam-2911	25	16	z1	z1	NOUN
ejpam-2911	25	17	)	)	PUNCT
ejpam-2911	25	18	d	d	NOUN
ejpam-2911	25	19	(	(	PUNCT
ejpam-2911	25	20	tx	tx	PROPN
ejpam-2911	25	21	,	,	PUNCT
ejpam-2911	25	22	ty	ty	NOUN
ejpam-2911	25	23	)	)	PUNCT
ejpam-2911	25	24	≤	≤	NOUN
ejpam-2911	25	25	ad	ad	NOUN
ejpam-2911	25	26	(	(	PUNCT
ejpam-2911	25	27	x	x	NOUN
ejpam-2911	25	28	,	,	PUNCT
ejpam-2911	25	29	y	y	PROPN
ejpam-2911	25	30	)	)	PUNCT
ejpam-2911	25	31	,	,	PUNCT
ejpam-2911	25	32	(	(	PUNCT
ejpam-2911	25	33	z2	z2	NOUN
ejpam-2911	25	34	)	)	PUNCT
ejpam-2911	25	35	d	d	NOUN
ejpam-2911	25	36	(	(	PUNCT
ejpam-2911	25	37	tx	tx	PROPN
ejpam-2911	25	38	,	,	PUNCT
ejpam-2911	25	39	ty	ty	NOUN
ejpam-2911	25	40	)	)	PUNCT
ejpam-2911	25	41	≤	≤	NUM
ejpam-2911	25	42	b	b	X
ejpam-2911	25	43	(	(	PUNCT
ejpam-2911	25	44	d	d	X
ejpam-2911	25	45	(	(	PUNCT
ejpam-2911	25	46	x	x	NOUN
ejpam-2911	25	47	,	,	PUNCT
ejpam-2911	25	48	tx	tx	PROPN
ejpam-2911	25	49	)	)	PUNCT
ejpam-2911	26	1	+	+	CCONJ
ejpam-2911	26	2	d	d	X
ejpam-2911	26	3	(	(	PUNCT
ejpam-2911	26	4	y	y	PROPN
ejpam-2911	26	5	,	,	PUNCT
ejpam-2911	26	6	ty	ty	NOUN
ejpam-2911	26	7	)	)	PUNCT
ejpam-2911	26	8	)	)	PUNCT
ejpam-2911	26	9	,	,	PUNCT
ejpam-2911	26	10	(	(	PUNCT
ejpam-2911	26	11	z3	z3	PROPN
ejpam-2911	26	12	)	)	PUNCT
ejpam-2911	26	13	d	d	PROPN
ejpam-2911	26	14	(	(	PUNCT
ejpam-2911	26	15	tx	tx	PROPN
ejpam-2911	26	16	,	,	PUNCT
ejpam-2911	26	17	ty	ty	NOUN
ejpam-2911	26	18	)	)	PUNCT
ejpam-2911	26	19	≤	≤	NUM
ejpam-2911	27	1	c	c	NOUN
ejpam-2911	27	2	(	(	PUNCT
ejpam-2911	27	3	d	d	X
ejpam-2911	27	4	(	(	PUNCT
ejpam-2911	27	5	x	x	NOUN
ejpam-2911	27	6	,	,	PUNCT
ejpam-2911	27	7	ty	ty	INTJ
ejpam-2911	27	8	)	)	PUNCT
ejpam-2911	27	9	+	+	CCONJ
ejpam-2911	27	10	d	d	X
ejpam-2911	27	11	(	(	PUNCT
ejpam-2911	27	12	y	y	PROPN
ejpam-2911	27	13	,	,	PUNCT
ejpam-2911	27	14	tx	tx	PROPN
ejpam-2911	27	15	)	)	PUNCT
ejpam-2911	27	16	)	)	PUNCT
ejpam-2911	27	17	.	.	PUNCT
ejpam-2911	28	1	(	(	PUNCT
ejpam-2911	28	2	1	1	X
ejpam-2911	28	3	)	)	PUNCT
ejpam-2911	28	4	for	for	ADP
ejpam-2911	28	5	any	any	DET
ejpam-2911	28	6	x	x	NOUN
ejpam-2911	28	7	,	,	PUNCT
ejpam-2911	28	8	y	y	PROPN
ejpam-2911	28	9	∈	∈	PROPN
ejpam-2911	28	10	x.	x.	NOUN
ejpam-2911	29	1	the	the	DET
ejpam-2911	29	2	contractive	contractive	ADJ
ejpam-2911	29	3	condition	condition	NOUN
ejpam-2911	29	4	(	(	PUNCT
ejpam-2911	29	5	1	1	X
ejpam-2911	29	6	)	)	PUNCT
ejpam-2911	29	7	can	can	AUX
ejpam-2911	29	8	be	be	AUX
ejpam-2911	29	9	reformulated	reformulate	VERB
ejpam-2911	29	10	as	as	SCONJ
ejpam-2911	29	11	follows	follow	VERB
ejpam-2911	29	12	:	:	PUNCT
ejpam-2911	29	13	{	{	PUNCT
ejpam-2911	29	14	(	(	PUNCT
ejpam-2911	29	15	b1	b1	NOUN
ejpam-2911	29	16	)	)	PUNCT
ejpam-2911	30	1	d	d	PROPN
ejpam-2911	30	2	(	(	PUNCT
ejpam-2911	30	3	tx	tx	PROPN
ejpam-2911	30	4	,	,	PUNCT
ejpam-2911	30	5	ty	ty	NOUN
ejpam-2911	30	6	)	)	PUNCT
ejpam-2911	30	7	≤	≤	NOUN
ejpam-2911	30	8	δd	δd	X
ejpam-2911	30	9	(	(	PUNCT
ejpam-2911	30	10	x	x	NOUN
ejpam-2911	30	11	,	,	PUNCT
ejpam-2911	30	12	y	y	PROPN
ejpam-2911	30	13	)	)	PUNCT
ejpam-2911	31	1	+	+	X
ejpam-2911	31	2	2δd	2δd	ADJ
ejpam-2911	31	3	(	(	PUNCT
ejpam-2911	31	4	x	x	X
ejpam-2911	31	5	,	,	PUNCT
ejpam-2911	31	6	tx	tx	PROPN
ejpam-2911	31	7	)	)	PUNCT
ejpam-2911	31	8	if	if	SCONJ
ejpam-2911	31	9	one	one	PRON
ejpam-2911	31	10	uses	use	VERB
ejpam-2911	31	11	(	(	PUNCT
ejpam-2911	31	12	z2	z2	NOUN
ejpam-2911	31	13	)	)	PUNCT
ejpam-2911	31	14	,	,	PUNCT
ejpam-2911	31	15	and	and	CCONJ
ejpam-2911	31	16	(	(	PUNCT
ejpam-2911	31	17	b2	b2	NOUN
ejpam-2911	31	18	)	)	PUNCT
ejpam-2911	32	1	d	d	NOUN
ejpam-2911	32	2	(	(	PUNCT
ejpam-2911	32	3	tx	tx	PROPN
ejpam-2911	32	4	,	,	PUNCT
ejpam-2911	32	5	ty	ty	NOUN
ejpam-2911	32	6	)	)	PUNCT
ejpam-2911	32	7	≤	≤	NOUN
ejpam-2911	32	8	δd	δd	X
ejpam-2911	32	9	(	(	PUNCT
ejpam-2911	32	10	x	x	NOUN
ejpam-2911	32	11	,	,	PUNCT
ejpam-2911	32	12	y	y	PROPN
ejpam-2911	32	13	)	)	PUNCT
ejpam-2911	33	1	+	+	X
ejpam-2911	33	2	2δd	2δd	ADJ
ejpam-2911	33	3	(	(	PUNCT
ejpam-2911	33	4	x	x	X
ejpam-2911	33	5	,	,	PUNCT
ejpam-2911	33	6	ty	ty	INTJ
ejpam-2911	33	7	)	)	PUNCT
ejpam-2911	33	8	if	if	SCONJ
ejpam-2911	33	9	one	one	PRON
ejpam-2911	33	10	uses	use	VERB
ejpam-2911	33	11	(	(	PUNCT
ejpam-2911	33	12	z3	z3	PROPN
ejpam-2911	33	13	)	)	PUNCT
ejpam-2911	33	14	,	,	PUNCT
ejpam-2911	33	15	(	(	PUNCT
ejpam-2911	33	16	2	2	X
ejpam-2911	33	17	)	)	PUNCT
ejpam-2911	33	18	for	for	ADP
ejpam-2911	33	19	all	all	DET
ejpam-2911	33	20	x	x	NOUN
ejpam-2911	33	21	,	,	PUNCT
ejpam-2911	33	22	y	y	PROPN
ejpam-2911	33	23	∈	∈	PROPN
ejpam-2911	33	24	x	x	NOUN
ejpam-2911	33	25	,	,	PUNCT
ejpam-2911	33	26	where	where	SCONJ
ejpam-2911	33	27	δ	δ	PROPN
ejpam-2911	33	28	=	=	SYM
ejpam-2911	33	29	max	max	PROPN
ejpam-2911	33	30	{	{	PUNCT
ejpam-2911	33	31	a	a	PROPN
ejpam-2911	33	32	,	,	PUNCT
ejpam-2911	33	33	b	b	PROPN
ejpam-2911	33	34	1−b	1−b	NUM
ejpam-2911	33	35	,	,	PUNCT
ejpam-2911	33	36	c	c	PROPN
ejpam-2911	33	37	1−c	1−c	NUM
ejpam-2911	33	38	}	}	PUNCT
ejpam-2911	33	39	(	(	PUNCT
ejpam-2911	33	40	[	[	X
ejpam-2911	33	41	4	4	NUM
ejpam-2911	33	42	]	]	NUM
ejpam-2911	33	43	)	)	PUNCT
ejpam-2911	33	44	.	.	PUNCT
ejpam-2911	34	1	clearly	clearly	ADV
ejpam-2911	34	2	,	,	PUNCT
ejpam-2911	34	3	δ	δ	PROPN
ejpam-2911	34	4	∈	∈	PROPN
ejpam-2911	35	1	[	[	X
ejpam-2911	35	2	0	0	NUM
ejpam-2911	35	3	,	,	PUNCT
ejpam-2911	35	4	1	1	NUM
ejpam-2911	35	5	)	)	PUNCT
ejpam-2911	35	6	.	.	PUNCT
ejpam-2911	36	1	a	a	DET
ejpam-2911	36	2	mapping	mapping	NOUN
ejpam-2911	36	3	satisfying	satisfy	VERB
ejpam-2911	36	4	condition	condition	NOUN
ejpam-2911	36	5	(	(	PUNCT
ejpam-2911	36	6	b1	b1	NOUN
ejpam-2911	36	7	)	)	PUNCT
ejpam-2911	36	8	or	or	CCONJ
ejpam-2911	36	9	(	(	PUNCT
ejpam-2911	36	10	b2	b2	NOUN
ejpam-2911	36	11	)	)	PUNCT
ejpam-2911	36	12	is	be	AUX
ejpam-2911	36	13	called	call	VERB
ejpam-2911	36	14	a	a	DET
ejpam-2911	36	15	quasi	quasi	ADJ
ejpam-2911	36	16	-	-	ADJ
ejpam-2911	36	17	contractive	contractive	ADJ
ejpam-2911	36	18	mapping	mapping	NOUN
ejpam-2911	36	19	.	.	PUNCT
ejpam-2911	37	1	this	this	DET
ejpam-2911	37	2	class	class	NOUN
ejpam-2911	37	3	of	of	ADP
ejpam-2911	37	4	mappings	mapping	NOUN
ejpam-2911	37	5	is	be	AUX
ejpam-2911	37	6	general	general	ADJ
ejpam-2911	37	7	than	than	ADP
ejpam-2911	37	8	the	the	DET
ejpam-2911	37	9	class	class	NOUN
ejpam-2911	37	10	of	of	ADP
ejpam-2911	37	11	zamfirescu	zamfirescu	PROPN
ejpam-2911	37	12	mappings	mapping	NOUN
ejpam-2911	37	13	.	.	PUNCT
ejpam-2911	38	1	osilike	osilike	ADP
ejpam-2911	38	2	and	and	CCONJ
ejpam-2911	38	3	udomene	udomene	NOUN
ejpam-2911	39	1	[	[	X
ejpam-2911	39	2	17	17	NUM
ejpam-2911	39	3	]	]	PUNCT
ejpam-2911	39	4	extended	extend	VERB
ejpam-2911	39	5	the	the	DET
ejpam-2911	39	6	above	above	ADJ
ejpam-2911	39	7	class	class	NOUN
ejpam-2911	39	8	of	of	ADP
ejpam-2911	39	9	mappings	mapping	NOUN
ejpam-2911	39	10	and	and	CCONJ
ejpam-2911	39	11	introduced	introduce	VERB
ejpam-2911	39	12	a	a	DET
ejpam-2911	39	13	mapping	mapping	NOUN
ejpam-2911	39	14	t	t	NOUN
ejpam-2911	39	15	satisfying	satisfy	VERB
ejpam-2911	39	16	the	the	DET
ejpam-2911	39	17	following	follow	VERB
ejpam-2911	39	18	contractive	contractive	ADJ
ejpam-2911	39	19	condition	condition	NOUN
ejpam-2911	39	20	:	:	PUNCT
ejpam-2911	40	1	d	d	X
ejpam-2911	40	2	(	(	PUNCT
ejpam-2911	40	3	tx	tx	PROPN
ejpam-2911	40	4	,	,	PUNCT
ejpam-2911	40	5	ty	ty	NOUN
ejpam-2911	40	6	)	)	PUNCT
ejpam-2911	40	7	≤	≤	NOUN
ejpam-2911	40	8	δd	δd	X
ejpam-2911	40	9	(	(	PUNCT
ejpam-2911	40	10	x	x	NOUN
ejpam-2911	40	11	,	,	PUNCT
ejpam-2911	40	12	y	y	PROPN
ejpam-2911	40	13	)	)	PUNCT
ejpam-2911	41	1	+	+	CCONJ
ejpam-2911	41	2	ld	ld	PROPN
ejpam-2911	41	3	(	(	PUNCT
ejpam-2911	41	4	x	x	NOUN
ejpam-2911	41	5	,	,	PUNCT
ejpam-2911	41	6	tx	tx	PROPN
ejpam-2911	41	7	)	)	PUNCT
ejpam-2911	41	8	,	,	PUNCT
ejpam-2911	41	9	(	(	PUNCT
ejpam-2911	41	10	3	3	X
ejpam-2911	41	11	)	)	PUNCT
ejpam-2911	41	12	for	for	ADP
ejpam-2911	41	13	all	all	DET
ejpam-2911	41	14	x	x	NOUN
ejpam-2911	41	15	,	,	PUNCT
ejpam-2911	41	16	y	y	PROPN
ejpam-2911	41	17	∈	∈	PROPN
ejpam-2911	41	18	x	x	NOUN
ejpam-2911	41	19	,	,	PUNCT
ejpam-2911	41	20	where	where	SCONJ
ejpam-2911	41	21	l	l	PROPN
ejpam-2911	41	22	≥	≥	X
ejpam-2911	41	23	0	0	NUM
ejpam-2911	41	24	and	and	CCONJ
ejpam-2911	41	25	δ	δ	PROPN
ejpam-2911	41	26	∈	∈	PROPN
ejpam-2911	41	27	[	[	X
ejpam-2911	41	28	0	0	NUM
ejpam-2911	41	29	,	,	PUNCT
ejpam-2911	41	30	1	1	NUM
ejpam-2911	41	31	)	)	PUNCT
ejpam-2911	41	32	.	.	PUNCT
ejpam-2911	42	1	for	for	ADP
ejpam-2911	42	2	more	more	ADJ
ejpam-2911	42	3	results	result	NOUN
ejpam-2911	42	4	and	and	CCONJ
ejpam-2911	42	5	discussion	discussion	NOUN
ejpam-2911	42	6	in	in	ADP
ejpam-2911	42	7	this	this	DET
ejpam-2911	42	8	direction	direction	NOUN
ejpam-2911	42	9	,	,	PUNCT
ejpam-2911	42	10	we	we	PRON
ejpam-2911	42	11	refer	refer	VERB
ejpam-2911	42	12	to	to	ADP
ejpam-2911	42	13	[	[	X
ejpam-2911	42	14	1	1	NUM
ejpam-2911	42	15	]	]	PUNCT
ejpam-2911	42	16	,	,	PUNCT
ejpam-2911	42	17	[	[	X
ejpam-2911	42	18	13	13	NUM
ejpam-2911	42	19	]	]	PUNCT
ejpam-2911	42	20	and	and	CCONJ
ejpam-2911	42	21	references	reference	NOUN
ejpam-2911	42	22	mentioned	mention	VERB
ejpam-2911	42	23	therein	therein	ADV
ejpam-2911	42	24	.	.	PUNCT
ejpam-2911	43	1	imoru	imoru	NOUN
ejpam-2911	43	2	and	and	CCONJ
ejpam-2911	43	3	olantiwo	olantiwo	NOUN
ejpam-2911	43	4	[	[	X
ejpam-2911	43	5	10	10	NUM
ejpam-2911	43	6	]	]	PUNCT
ejpam-2911	43	7	gave	give	VERB
ejpam-2911	43	8	the	the	DET
ejpam-2911	43	9	following	follow	VERB
ejpam-2911	43	10	definition	definition	NOUN
ejpam-2911	43	11	:	:	PUNCT
ejpam-2911	43	12	definition	definition	NOUN
ejpam-2911	43	13	1	1	NUM
ejpam-2911	43	14	.	.	PUNCT
ejpam-2911	43	15	a	a	DET
ejpam-2911	43	16	self	self	NOUN
ejpam-2911	43	17	mapping	mapping	NOUN
ejpam-2911	43	18	t	t	NOUN
ejpam-2911	43	19	on	on	ADP
ejpam-2911	43	20	x	x	VERB
ejpam-2911	43	21	is	be	AUX
ejpam-2911	43	22	called	call	VERB
ejpam-2911	43	23	a	a	DET
ejpam-2911	43	24	contractive	contractive	ADJ
ejpam-2911	43	25	-	-	PUNCT
ejpam-2911	43	26	like	like	ADJ
ejpam-2911	43	27	mapping	mapping	NOUN
ejpam-2911	43	28	if	if	SCONJ
ejpam-2911	43	29	there	there	PRON
ejpam-2911	43	30	exists	exist	VERB
ejpam-2911	43	31	a	a	DET
ejpam-2911	43	32	constant	constant	ADJ
ejpam-2911	43	33	δ	δ	NOUN
ejpam-2911	43	34	∈	∈	PROPN
ejpam-2911	44	1	[	[	X
ejpam-2911	44	2	0	0	NUM
ejpam-2911	44	3	,	,	PUNCT
ejpam-2911	44	4	1	1	NUM
ejpam-2911	44	5	)	)	PUNCT
ejpam-2911	44	6	and	and	CCONJ
ejpam-2911	44	7	a	a	DET
ejpam-2911	44	8	strictly	strictly	ADV
ejpam-2911	44	9	increasing	increase	VERB
ejpam-2911	44	10	and	and	CCONJ
ejpam-2911	44	11	continuous	continuous	ADJ
ejpam-2911	44	12	function	function	NOUN
ejpam-2911	44	13	ϕ	ϕ	NOUN
ejpam-2911	44	14	:	:	PUNCT
ejpam-2911	45	1	[	[	X
ejpam-2911	45	2	0,∞)→	0,∞)→	NOUN
ejpam-2911	45	3	[	[	X
ejpam-2911	45	4	0,∞	0,∞	NOUN
ejpam-2911	45	5	)	)	PUNCT
ejpam-2911	45	6	with	with	ADP
ejpam-2911	45	7	ϕ	ϕ	PROPN
ejpam-2911	45	8	(	(	PUNCT
ejpam-2911	45	9	0	0	NUM
ejpam-2911	45	10	)	)	PUNCT
ejpam-2911	45	11	=	=	SYM
ejpam-2911	45	12	0	0	NUM
ejpam-2911	45	13	such	such	ADJ
ejpam-2911	45	14	that	that	PRON
ejpam-2911	45	15	for	for	ADP
ejpam-2911	45	16	any	any	DET
ejpam-2911	45	17	x	x	NOUN
ejpam-2911	45	18	,	,	PUNCT
ejpam-2911	45	19	y	y	PROPN
ejpam-2911	45	20	∈	∈	PROPN
ejpam-2911	45	21	x	x	X
ejpam-2911	45	22	,	,	PUNCT
ejpam-2911	45	23	we	we	PRON
ejpam-2911	45	24	have	have	VERB
ejpam-2911	45	25	d	d	X
ejpam-2911	45	26	(	(	PUNCT
ejpam-2911	45	27	tx	tx	PROPN
ejpam-2911	45	28	,	,	PUNCT
ejpam-2911	45	29	ty	ty	NOUN
ejpam-2911	45	30	)	)	PUNCT
ejpam-2911	45	31	≤	≤	NOUN
ejpam-2911	45	32	δd	δd	X
ejpam-2911	45	33	(	(	PUNCT
ejpam-2911	45	34	x	x	NOUN
ejpam-2911	45	35	,	,	PUNCT
ejpam-2911	45	36	y	y	PROPN
ejpam-2911	45	37	)	)	PUNCT
ejpam-2911	45	38	+	+	PUNCT
ejpam-2911	45	39	ϕ	ϕ	X
ejpam-2911	45	40	(	(	PUNCT
ejpam-2911	45	41	d	d	X
ejpam-2911	45	42	(	(	PUNCT
ejpam-2911	45	43	x	x	NOUN
ejpam-2911	45	44	,	,	PUNCT
ejpam-2911	45	45	tx	tx	PROPN
ejpam-2911	45	46	)	)	PUNCT
ejpam-2911	45	47	)	)	PUNCT
ejpam-2911	45	48	.	.	PUNCT
ejpam-2911	46	1	(	(	PUNCT
ejpam-2911	46	2	4	4	X
ejpam-2911	46	3	)	)	PUNCT
ejpam-2911	46	4	definition	definition	NOUN
ejpam-2911	46	5	2	2	NUM
ejpam-2911	46	6	.	.	PUNCT
ejpam-2911	47	1	[	[	X
ejpam-2911	47	2	18	18	NUM
ejpam-2911	47	3	]	]	PUNCT
ejpam-2911	47	4	let	let	VERB
ejpam-2911	47	5	t	t	PROPN
ejpam-2911	47	6	,	,	PUNCT
ejpam-2911	47	7	s	s	VERB
ejpam-2911	47	8	be	be	AUX
ejpam-2911	47	9	two	two	NUM
ejpam-2911	47	10	self	self	NOUN
ejpam-2911	47	11	mappings	mapping	NOUN
ejpam-2911	47	12	on	on	ADP
ejpam-2911	47	13	x.	x.	NOUN
ejpam-2911	48	1	we	we	PRON
ejpam-2911	48	2	say	say	VERB
ejpam-2911	48	3	that	that	PRON
ejpam-2911	48	4	s	s	VERB
ejpam-2911	48	5	is	be	AUX
ejpam-2911	48	6	an	an	DET
ejpam-2911	48	7	approximate	approximate	ADJ
ejpam-2911	48	8	operator	operator	NOUN
ejpam-2911	48	9	of	of	ADP
ejpam-2911	48	10	t	t	PROPN
ejpam-2911	48	11	if	if	SCONJ
ejpam-2911	48	12	for	for	ADP
ejpam-2911	48	13	all	all	DET
ejpam-2911	48	14	ε	ε	PROPN
ejpam-2911	48	15	>	>	X
ejpam-2911	48	16	0	0	PROPN
ejpam-2911	48	17	,	,	PUNCT
ejpam-2911	48	18	we	we	PRON
ejpam-2911	48	19	have	have	VERB
ejpam-2911	48	20	d	d	X
ejpam-2911	48	21	(	(	PUNCT
ejpam-2911	48	22	tx	tx	PROPN
ejpam-2911	48	23	,	,	PUNCT
ejpam-2911	48	24	sx	sx	PROPN
ejpam-2911	48	25	)	)	PUNCT
ejpam-2911	48	26	≤	≤	PUNCT
ejpam-2911	48	27	ε	ε	PROPN
ejpam-2911	48	28	holds	hold	VERB
ejpam-2911	48	29	for	for	ADP
ejpam-2911	48	30	any	any	DET
ejpam-2911	48	31	x	x	SYM
ejpam-2911	48	32	∈	∈	PROPN
ejpam-2911	48	33	x	x	X
ejpam-2911	48	34	.	.	PUNCT
ejpam-2911	49	1	an	an	DET
ejpam-2911	49	2	ambient	ambient	ADJ
ejpam-2911	49	3	space	space	NOUN
ejpam-2911	49	4	equipped	equip	VERB
ejpam-2911	49	5	with	with	ADP
ejpam-2911	49	6	certain	certain	ADJ
ejpam-2911	49	7	convexity	convexity	NOUN
ejpam-2911	49	8	structure	structure	NOUN
ejpam-2911	49	9	play	play	VERB
ejpam-2911	49	10	a	a	DET
ejpam-2911	49	11	significant	significant	ADJ
ejpam-2911	49	12	role	role	NOUN
ejpam-2911	49	13	in	in	ADP
ejpam-2911	49	14	solving	solve	VERB
ejpam-2911	49	15	a	a	DET
ejpam-2911	49	16	fixed	fix	VERB
ejpam-2911	49	17	point	point	NOUN
ejpam-2911	49	18	equation	equation	NOUN
ejpam-2911	49	19	.	.	PUNCT
ejpam-2911	50	1	since	since	SCONJ
ejpam-2911	50	2	banach	banach	NOUN
ejpam-2911	50	3	space	space	NOUN
ejpam-2911	50	4	is	be	AUX
ejpam-2911	50	5	a	a	DET
ejpam-2911	50	6	vector	vector	NOUN
ejpam-2911	50	7	space	space	NOUN
ejpam-2911	50	8	,	,	PUNCT
ejpam-2911	50	9	the	the	DET
ejpam-2911	50	10	concept	concept	NOUN
ejpam-2911	50	11	of	of	ADP
ejpam-2911	50	12	a	a	DET
ejpam-2911	50	13	line	line	NOUN
ejpam-2911	50	14	segment	segment	NOUN
ejpam-2911	50	15	joining	join	VERB
ejpam-2911	50	16	any	any	DET
ejpam-2911	50	17	two	two	NUM
ejpam-2911	50	18	points	point	NOUN
ejpam-2911	50	19	of	of	ADP
ejpam-2911	50	20	a	a	DET
ejpam-2911	50	21	nonempty	nonempty	ADJ
ejpam-2911	50	22	subset	subset	NOUN
ejpam-2911	50	23	of	of	ADP
ejpam-2911	50	24	a	a	DET
ejpam-2911	50	25	banach	banach	NOUN
ejpam-2911	50	26	space	space	NOUN
ejpam-2911	50	27	give	give	VERB
ejpam-2911	50	28	rise	rise	NOUN
ejpam-2911	50	29	to	to	ADP
ejpam-2911	50	30	the	the	DET
ejpam-2911	50	31	convexity	convexity	NOUN
ejpam-2911	50	32	structure	structure	NOUN
ejpam-2911	50	33	.	.	PUNCT
ejpam-2911	51	1	however	however	ADV
ejpam-2911	51	2	,	,	PUNCT
ejpam-2911	51	3	metric	metric	ADJ
ejpam-2911	51	4	spaces	space	NOUN
ejpam-2911	51	5	do	do	AUX
ejpam-2911	51	6	not	not	PART
ejpam-2911	51	7	naturally	naturally	ADV
ejpam-2911	51	8	have	have	VERB
ejpam-2911	51	9	this	this	DET
ejpam-2911	51	10	convex	convex	ADJ
ejpam-2911	51	11	structure	structure	NOUN
ejpam-2911	51	12	.	.	PUNCT
ejpam-2911	52	1	the	the	DET
ejpam-2911	52	2	notion	notion	NOUN
ejpam-2911	52	3	of	of	ADP
ejpam-2911	52	4	convex	convex	NOUN
ejpam-2911	52	5	metric	metric	ADJ
ejpam-2911	52	6	spaces	space	NOUN
ejpam-2911	52	7	was	be	AUX
ejpam-2911	52	8	introduced	introduce	VERB
ejpam-2911	52	9	by	by	ADP
ejpam-2911	52	10	takahashi	takahashi	PROPN
ejpam-2911	52	11	[	[	X
ejpam-2911	52	12	19	19	NUM
ejpam-2911	52	13	]	]	PUNCT
ejpam-2911	52	14	who	who	PRON
ejpam-2911	52	15	studied	study	VERB
ejpam-2911	52	16	the	the	DET
ejpam-2911	52	17	fixed	fix	VERB
ejpam-2911	52	18	points	point	NOUN
ejpam-2911	52	19	of	of	ADP
ejpam-2911	52	20	nonexpansive	nonexpansive	ADJ
ejpam-2911	52	21	mappings	mapping	NOUN
ejpam-2911	52	22	in	in	ADP
ejpam-2911	52	23	the	the	DET
ejpam-2911	52	24	setting	setting	NOUN
ejpam-2911	52	25	of	of	ADP
ejpam-2911	52	26	such	such	ADJ
ejpam-2911	52	27	spaces	space	NOUN
ejpam-2911	52	28	.	.	PUNCT
ejpam-2911	53	1	all	all	DET
ejpam-2911	53	2	normed	normed	PROPN
ejpam-2911	53	3	spaces	spaces	PROPN
ejpam-2911	53	4	i.	i.	PROPN
ejpam-2911	53	5	yildirim	yildirim	PROPN
ejpam-2911	53	6	,	,	PUNCT
ejpam-2911	53	7	m.	m.	NOUN
ejpam-2911	53	8	abbas	abbas	PROPN
ejpam-2911	53	9	/	/	SYM
ejpam-2911	53	10	eur	eur	PROPN
ejpam-2911	53	11	.	.	PUNCT
ejpam-2911	54	1	j.	j.	PROPN
ejpam-2911	54	2	pure	pure	PROPN
ejpam-2911	54	3	appl	appl	PROPN
ejpam-2911	54	4	.	.	PROPN
ejpam-2911	54	5	math	math	PROPN
ejpam-2911	54	6	,	,	PUNCT
ejpam-2911	54	7	11	11	NUM
ejpam-2911	54	8	(	(	PUNCT
ejpam-2911	54	9	1	1	NUM
ejpam-2911	54	10	)	)	PUNCT
ejpam-2911	54	11	(	(	PUNCT
ejpam-2911	54	12	2018	2018	NUM
ejpam-2911	54	13	)	)	PUNCT
ejpam-2911	54	14	,	,	PUNCT
ejpam-2911	54	15	189	189	NUM
ejpam-2911	54	16	-	-	SYM
ejpam-2911	54	17	201	201	NUM
ejpam-2911	54	18	191	191	NUM
ejpam-2911	54	19	and	and	CCONJ
ejpam-2911	54	20	their	their	PRON
ejpam-2911	54	21	convex	convex	NOUN
ejpam-2911	54	22	subsets	subset	NOUN
ejpam-2911	54	23	are	be	AUX
ejpam-2911	54	24	convex	convex	ADJ
ejpam-2911	54	25	metric	metric	ADJ
ejpam-2911	54	26	spaces	space	NOUN
ejpam-2911	54	27	.	.	PUNCT
ejpam-2911	55	1	but	but	CCONJ
ejpam-2911	55	2	there	there	PRON
ejpam-2911	55	3	are	be	VERB
ejpam-2911	55	4	many	many	ADJ
ejpam-2911	55	5	examples	example	NOUN
ejpam-2911	55	6	of	of	ADP
ejpam-2911	55	7	convex	convex	NOUN
ejpam-2911	55	8	metric	metric	ADJ
ejpam-2911	55	9	spaces	space	NOUN
ejpam-2911	55	10	which	which	PRON
ejpam-2911	55	11	are	be	AUX
ejpam-2911	55	12	not	not	PART
ejpam-2911	55	13	embedded	embed	VERB
ejpam-2911	55	14	in	in	ADP
ejpam-2911	55	15	any	any	DET
ejpam-2911	55	16	normed	normed	ADJ
ejpam-2911	55	17	space	space	NOUN
ejpam-2911	55	18	(	(	PUNCT
ejpam-2911	55	19	[	[	X
ejpam-2911	55	20	19	19	NUM
ejpam-2911	55	21	]	]	NUM
ejpam-2911	55	22	)	)	PUNCT
ejpam-2911	55	23	.	.	PUNCT
ejpam-2911	56	1	over	over	ADP
ejpam-2911	56	2	time	time	NOUN
ejpam-2911	56	3	,	,	PUNCT
ejpam-2911	56	4	different	different	ADJ
ejpam-2911	56	5	convex	convex	NOUN
ejpam-2911	56	6	structures	structure	NOUN
ejpam-2911	56	7	have	have	AUX
ejpam-2911	56	8	been	be	AUX
ejpam-2911	56	9	introduced	introduce	VERB
ejpam-2911	56	10	on	on	ADP
ejpam-2911	56	11	metric	metric	ADJ
ejpam-2911	56	12	spaces	space	NOUN
ejpam-2911	56	13	.	.	PUNCT
ejpam-2911	57	1	kohlenbach	kohlenbach	NOUN
ejpam-2911	58	1	[	[	X
ejpam-2911	58	2	15	15	NUM
ejpam-2911	58	3	]	]	PUNCT
ejpam-2911	58	4	introduced	introduce	VERB
ejpam-2911	58	5	w−hyperbolic	w−hyperbolic	PROPN
ejpam-2911	58	6	spaces	space	NOUN
ejpam-2911	58	7	as	as	SCONJ
ejpam-2911	58	8	follows	follow	VERB
ejpam-2911	58	9	:	:	PUNCT
ejpam-2911	58	10	definition	definition	NOUN
ejpam-2911	58	11	3	3	NUM
ejpam-2911	58	12	.	.	PUNCT
ejpam-2911	59	1	a	a	DET
ejpam-2911	59	2	w−hyperbolic	w−hyperbolic	PROPN
ejpam-2911	59	3	space	space	NOUN
ejpam-2911	59	4	(	(	PUNCT
ejpam-2911	59	5	x	x	X
ejpam-2911	59	6	,	,	PUNCT
ejpam-2911	59	7	d	d	NOUN
ejpam-2911	59	8	,	,	PUNCT
ejpam-2911	59	9	w	w	PROPN
ejpam-2911	59	10	)	)	PUNCT
ejpam-2911	59	11	is	be	AUX
ejpam-2911	59	12	a	a	DET
ejpam-2911	59	13	metric	metric	ADJ
ejpam-2911	59	14	space	space	NOUN
ejpam-2911	59	15	(	(	PUNCT
ejpam-2911	59	16	x	x	X
ejpam-2911	59	17	,	,	PUNCT
ejpam-2911	59	18	d	d	NOUN
ejpam-2911	59	19	)	)	PUNCT
ejpam-2911	59	20	together	together	ADV
ejpam-2911	59	21	with	with	ADP
ejpam-2911	59	22	a	a	DET
ejpam-2911	59	23	convexity	convexity	NOUN
ejpam-2911	59	24	mopping	mop	VERB
ejpam-2911	59	25	w	w	NOUN
ejpam-2911	59	26	:	:	PUNCT
ejpam-2911	59	27	x2	x2	INTJ
ejpam-2911	59	28	×	×	NOUN
ejpam-2911	60	1	[	[	X
ejpam-2911	60	2	0	0	NUM
ejpam-2911	60	3	,	,	PUNCT
ejpam-2911	60	4	1]→	1]→	NOUN
ejpam-2911	60	5	x	x	PUNCT
ejpam-2911	60	6	satisfying	satisfy	VERB
ejpam-2911	60	7	the	the	DET
ejpam-2911	60	8	following	follow	VERB
ejpam-2911	60	9	properties	property	NOUN
ejpam-2911	60	10	:	:	PUNCT
ejpam-2911	60	11	(	(	PUNCT
ejpam-2911	60	12	i	i	NOUN
ejpam-2911	60	13	)	)	PUNCT
ejpam-2911	60	14	d(u	d(u	PROPN
ejpam-2911	60	15	,	,	PUNCT
ejpam-2911	60	16	w	w	PROPN
ejpam-2911	60	17	(	(	PUNCT
ejpam-2911	60	18	x	x	PROPN
ejpam-2911	60	19	,	,	PUNCT
ejpam-2911	60	20	y	y	PROPN
ejpam-2911	60	21	,	,	PUNCT
ejpam-2911	60	22	α	α	NOUN
ejpam-2911	60	23	)	)	PUNCT
ejpam-2911	60	24	)	)	PUNCT
ejpam-2911	60	25	≤	≤	NOUN
ejpam-2911	60	26	(	(	PUNCT
ejpam-2911	60	27	1−	1−	NUM
ejpam-2911	60	28	α)d(u	α)d(u	NOUN
ejpam-2911	60	29	,	,	PUNCT
ejpam-2911	60	30	x	x	X
ejpam-2911	60	31	)	)	PUNCT
ejpam-2911	60	32	+	+	CCONJ
ejpam-2911	60	33	αd(u	αd(u	X
ejpam-2911	60	34	,	,	PUNCT
ejpam-2911	60	35	y	y	NOUN
ejpam-2911	60	36	)	)	PUNCT
ejpam-2911	60	37	(	(	PUNCT
ejpam-2911	60	38	ii	ii	NOUN
ejpam-2911	60	39	)	)	PUNCT
ejpam-2911	60	40	d(w	d(w	PROPN
ejpam-2911	60	41	(	(	PUNCT
ejpam-2911	60	42	x	x	X
ejpam-2911	60	43	,	,	PUNCT
ejpam-2911	60	44	y	y	PROPN
ejpam-2911	60	45	,	,	PUNCT
ejpam-2911	60	46	α),w	α),w	PROPN
ejpam-2911	60	47	(	(	PUNCT
ejpam-2911	60	48	x	x	X
ejpam-2911	60	49	,	,	PUNCT
ejpam-2911	60	50	y	y	PROPN
ejpam-2911	60	51	,	,	PUNCT
ejpam-2911	60	52	β	β	NOUN
ejpam-2911	60	53	)	)	PUNCT
ejpam-2911	60	54	)	)	PUNCT
ejpam-2911	61	1	=	=	SYM
ejpam-2911	61	2	|α−	|α−	NOUN
ejpam-2911	61	3	β|	β|	ADP
ejpam-2911	61	4	d(x	d(x	NOUN
ejpam-2911	61	5	,	,	PUNCT
ejpam-2911	61	6	y	y	PROPN
ejpam-2911	61	7	)	)	PUNCT
ejpam-2911	61	8	(	(	PUNCT
ejpam-2911	61	9	iii	iii	X
ejpam-2911	61	10	)	)	PUNCT
ejpam-2911	61	11	w	w	NOUN
ejpam-2911	61	12	(	(	PUNCT
ejpam-2911	61	13	x	x	PROPN
ejpam-2911	61	14	,	,	PUNCT
ejpam-2911	61	15	y	y	PROPN
ejpam-2911	61	16	,	,	PUNCT
ejpam-2911	61	17	α	α	NOUN
ejpam-2911	61	18	)	)	PUNCT
ejpam-2911	61	19	=	=	SYM
ejpam-2911	61	20	w	w	PROPN
ejpam-2911	61	21	(	(	PUNCT
ejpam-2911	61	22	y	y	PROPN
ejpam-2911	61	23	,	,	PUNCT
ejpam-2911	61	24	x	x	X
ejpam-2911	61	25	,	,	PUNCT
ejpam-2911	61	26	1−	1−	NUM
ejpam-2911	61	27	α	α	NOUN
ejpam-2911	61	28	)	)	PUNCT
ejpam-2911	61	29	(	(	PUNCT
ejpam-2911	61	30	iv	iv	X
ejpam-2911	61	31	)	)	PUNCT
ejpam-2911	61	32	d(w	d(w	PROPN
ejpam-2911	61	33	(	(	PUNCT
ejpam-2911	61	34	x	x	X
ejpam-2911	61	35	,	,	PUNCT
ejpam-2911	61	36	z	z	NOUN
ejpam-2911	61	37	,	,	PUNCT
ejpam-2911	61	38	α),w	α),w	PROPN
ejpam-2911	61	39	(	(	PUNCT
ejpam-2911	61	40	y	y	PROPN
ejpam-2911	61	41	,	,	PUNCT
ejpam-2911	61	42	w	w	PROPN
ejpam-2911	61	43	,	,	PUNCT
ejpam-2911	61	44	α	α	NOUN
ejpam-2911	61	45	)	)	PUNCT
ejpam-2911	61	46	)	)	PUNCT
ejpam-2911	61	47	≤	≤	NOUN
ejpam-2911	61	48	(	(	PUNCT
ejpam-2911	61	49	1−	1−	NUM
ejpam-2911	61	50	α)d(x	α)d(x	NOUN
ejpam-2911	61	51	,	,	PUNCT
ejpam-2911	61	52	y	y	NOUN
ejpam-2911	61	53	)	)	PUNCT
ejpam-2911	61	54	+	+	NUM
ejpam-2911	61	55	αd(z	αd(z	NUM
ejpam-2911	61	56	,	,	PUNCT
ejpam-2911	61	57	w	w	NOUN
ejpam-2911	61	58	)	)	PUNCT
ejpam-2911	61	59	for	for	ADP
ejpam-2911	61	60	all	all	DET
ejpam-2911	61	61	x	x	NOUN
ejpam-2911	61	62	,	,	PUNCT
ejpam-2911	61	63	y	y	PROPN
ejpam-2911	61	64	,	,	PUNCT
ejpam-2911	61	65	z	z	PROPN
ejpam-2911	61	66	,	,	PUNCT
ejpam-2911	61	67	w	w	PROPN
ejpam-2911	61	68	∈	∈	PROPN
ejpam-2911	61	69	x	x	X
ejpam-2911	61	70	and	and	CCONJ
ejpam-2911	61	71	α	α	NOUN
ejpam-2911	61	72	,	,	PUNCT
ejpam-2911	61	73	β	β	X
ejpam-2911	61	74	∈	∈	PROPN
ejpam-2911	62	1	[	[	X
ejpam-2911	62	2	0	0	NUM
ejpam-2911	62	3	,	,	PUNCT
ejpam-2911	62	4	1	1	NUM
ejpam-2911	62	5	]	]	PUNCT
ejpam-2911	62	6	.	.	PUNCT
ejpam-2911	63	1	if	if	SCONJ
ejpam-2911	63	2	the	the	DET
ejpam-2911	63	3	triplet	triplet	NOUN
ejpam-2911	63	4	(	(	PUNCT
ejpam-2911	63	5	x	x	NOUN
ejpam-2911	63	6	,	,	PUNCT
ejpam-2911	63	7	d	d	NOUN
ejpam-2911	63	8	,	,	PUNCT
ejpam-2911	63	9	w	w	NOUN
ejpam-2911	63	10	)	)	PUNCT
ejpam-2911	63	11	satisfies	satisfy	VERB
ejpam-2911	63	12	the	the	DET
ejpam-2911	63	13	condition	condition	NOUN
ejpam-2911	63	14	(	(	PUNCT
ejpam-2911	63	15	i	i	NOUN
ejpam-2911	63	16	)	)	PUNCT
ejpam-2911	63	17	only	only	ADV
ejpam-2911	63	18	,	,	PUNCT
ejpam-2911	63	19	then	then	ADV
ejpam-2911	63	20	it	it	PRON
ejpam-2911	63	21	coincides	coincide	VERB
ejpam-2911	63	22	with	with	ADP
ejpam-2911	63	23	the	the	DET
ejpam-2911	63	24	convex	convex	ADJ
ejpam-2911	63	25	metric	metric	ADJ
ejpam-2911	63	26	space	space	NOUN
ejpam-2911	63	27	introduced	introduce	VERB
ejpam-2911	63	28	by	by	ADP
ejpam-2911	63	29	takahashi	takahashi	PROPN
ejpam-2911	63	30	[	[	X
ejpam-2911	63	31	19	19	NUM
ejpam-2911	63	32	]	]	PUNCT
ejpam-2911	63	33	.	.	PUNCT
ejpam-2911	64	1	every	every	DET
ejpam-2911	64	2	hyperbolic	hyperbolic	ADJ
ejpam-2911	64	3	space	space	NOUN
ejpam-2911	64	4	is	be	AUX
ejpam-2911	64	5	a	a	DET
ejpam-2911	64	6	convex	convex	ADJ
ejpam-2911	64	7	metric	metric	ADJ
ejpam-2911	64	8	space	space	NOUN
ejpam-2911	64	9	but	but	CCONJ
ejpam-2911	64	10	converse	converse	NOUN
ejpam-2911	64	11	does	do	AUX
ejpam-2911	64	12	not	not	PART
ejpam-2911	64	13	hold	hold	VERB
ejpam-2911	64	14	in	in	ADP
ejpam-2911	64	15	general	general	ADJ
ejpam-2911	64	16	(	(	PUNCT
ejpam-2911	64	17	[	[	X
ejpam-2911	64	18	6	6	NUM
ejpam-2911	64	19	]	]	NUM
ejpam-2911	64	20	)	)	PUNCT
ejpam-2911	64	21	.	.	PUNCT
ejpam-2911	65	1	a	a	DET
ejpam-2911	65	2	subset	subset	NOUN
ejpam-2911	65	3	e	e	NOUN
ejpam-2911	65	4	of	of	ADP
ejpam-2911	65	5	a	a	DET
ejpam-2911	65	6	w−hyperbolic	w−hyperbolic	PROPN
ejpam-2911	65	7	space	space	NOUN
ejpam-2911	65	8	x	x	PUNCT
ejpam-2911	65	9	is	be	AUX
ejpam-2911	65	10	convex	convex	ADJ
ejpam-2911	65	11	if	if	SCONJ
ejpam-2911	65	12	w	w	PROPN
ejpam-2911	65	13	(	(	PUNCT
ejpam-2911	65	14	x	x	NOUN
ejpam-2911	65	15	,	,	PUNCT
ejpam-2911	65	16	y	y	PROPN
ejpam-2911	65	17	,	,	PUNCT
ejpam-2911	65	18	α	α	NOUN
ejpam-2911	65	19	)	)	PUNCT
ejpam-2911	65	20	∈	∈	PROPN
ejpam-2911	65	21	e	e	NOUN
ejpam-2911	65	22	for	for	ADP
ejpam-2911	65	23	all	all	DET
ejpam-2911	65	24	x	x	NOUN
ejpam-2911	65	25	,	,	PUNCT
ejpam-2911	65	26	y	y	PROPN
ejpam-2911	65	27	∈	∈	PROPN
ejpam-2911	65	28	e	e	PROPN
ejpam-2911	65	29	and	and	CCONJ
ejpam-2911	65	30	α	α	PRON
ejpam-2911	65	31	∈	∈	PROPN
ejpam-2911	66	1	[	[	X
ejpam-2911	66	2	0	0	NUM
ejpam-2911	66	3	,	,	PUNCT
ejpam-2911	66	4	1	1	NUM
ejpam-2911	66	5	]	]	PUNCT
ejpam-2911	66	6	.	.	PUNCT
ejpam-2911	67	1	note	note	VERB
ejpam-2911	67	2	that	that	SCONJ
ejpam-2911	67	3	every	every	DET
ejpam-2911	67	4	w−hyperbolic	w−hyperbolic	PROPN
ejpam-2911	67	5	space	space	NOUN
ejpam-2911	67	6	is	be	AUX
ejpam-2911	67	7	a	a	DET
ejpam-2911	67	8	geodesic	geodesic	ADJ
ejpam-2911	67	9	space	space	NOUN
ejpam-2911	67	10	.	.	PUNCT
ejpam-2911	68	1	cat(0	cat(0	ADJ
ejpam-2911	68	2	)	)	PUNCT
ejpam-2911	68	3	spaces	space	NOUN
ejpam-2911	68	4	,	,	PUNCT
ejpam-2911	68	5	normed	normed	PROPN
ejpam-2911	68	6	linear	linear	ADJ
ejpam-2911	68	7	space	space	NOUN
ejpam-2911	68	8	,	,	PUNCT
ejpam-2911	68	9	the	the	DET
ejpam-2911	68	10	hilbert	hilbert	PROPN
ejpam-2911	68	11	ball	ball	PROPN
ejpam-2911	68	12	and	and	CCONJ
ejpam-2911	68	13	busseman	busseman	NOUN
ejpam-2911	68	14	spaces	space	NOUN
ejpam-2911	68	15	are	be	AUX
ejpam-2911	68	16	important	important	ADJ
ejpam-2911	68	17	examples	example	NOUN
ejpam-2911	68	18	of	of	ADP
ejpam-2911	68	19	w−	w−	NOUN
ejpam-2911	68	20	hyperbolic	hyperbolic	ADJ
ejpam-2911	68	21	spaces	space	NOUN
ejpam-2911	68	22	.	.	PUNCT
ejpam-2911	69	1	a	a	DET
ejpam-2911	69	2	w−	w−	NOUN
ejpam-2911	69	3	hyperbolic	hyperbolic	ADJ
ejpam-2911	69	4	space	space	NOUN
ejpam-2911	69	5	represents	represent	VERB
ejpam-2911	69	6	a	a	DET
ejpam-2911	69	7	unified	unified	ADJ
ejpam-2911	69	8	approach	approach	NOUN
ejpam-2911	69	9	for	for	ADP
ejpam-2911	69	10	both	both	CCONJ
ejpam-2911	69	11	linear	linear	ADJ
ejpam-2911	69	12	and	and	CCONJ
ejpam-2911	69	13	nonlinear	nonlinear	ADJ
ejpam-2911	69	14	structures	structure	NOUN
ejpam-2911	69	15	simultaneously	simultaneously	ADV
ejpam-2911	69	16	.	.	PUNCT
ejpam-2911	70	1	there	there	PRON
ejpam-2911	70	2	are	be	VERB
ejpam-2911	70	3	hyperbolic	hyperbolic	ADJ
ejpam-2911	70	4	spaces	space	NOUN
ejpam-2911	70	5	which	which	PRON
ejpam-2911	70	6	are	be	AUX
ejpam-2911	70	7	not	not	PART
ejpam-2911	70	8	imbedded	imbed	VERB
ejpam-2911	70	9	in	in	ADP
ejpam-2911	70	10	any	any	DET
ejpam-2911	70	11	banach	banach	NOUN
ejpam-2911	70	12	space	space	NOUN
ejpam-2911	70	13	.	.	PUNCT
ejpam-2911	71	1	on	on	ADP
ejpam-2911	71	2	the	the	DET
ejpam-2911	71	3	other	other	ADJ
ejpam-2911	71	4	hand	hand	NOUN
ejpam-2911	71	5	,	,	PUNCT
ejpam-2911	71	6	different	different	ADJ
ejpam-2911	71	7	iterative	iterative	NOUN
ejpam-2911	71	8	algorithms	algorithm	NOUN
ejpam-2911	71	9	have	have	AUX
ejpam-2911	71	10	been	be	AUX
ejpam-2911	71	11	used	use	VERB
ejpam-2911	71	12	to	to	PART
ejpam-2911	71	13	approximate	approximate	VERB
ejpam-2911	71	14	the	the	DET
ejpam-2911	71	15	solution	solution	NOUN
ejpam-2911	71	16	of	of	ADP
ejpam-2911	71	17	a	a	DET
ejpam-2911	71	18	fixed	fix	VERB
ejpam-2911	71	19	point	point	NOUN
ejpam-2911	71	20	equation	equation	NOUN
ejpam-2911	71	21	(	(	PUNCT
ejpam-2911	71	22	[	[	X
ejpam-2911	71	23	5	5	NUM
ejpam-2911	71	24	,	,	PUNCT
ejpam-2911	71	25	11	11	NUM
ejpam-2911	71	26	,	,	PUNCT
ejpam-2911	71	27	14	14	NUM
ejpam-2911	71	28	,	,	PUNCT
ejpam-2911	71	29	16	16	NUM
ejpam-2911	71	30	,	,	PUNCT
ejpam-2911	71	31	19	19	NUM
ejpam-2911	71	32	]	]	NUM
ejpam-2911	71	33	)	)	PUNCT
ejpam-2911	71	34	.	.	PUNCT
ejpam-2911	72	1	implicit	implicit	ADJ
ejpam-2911	72	2	iterative	iterative	NOUN
ejpam-2911	72	3	schemes	scheme	NOUN
ejpam-2911	72	4	are	be	AUX
ejpam-2911	72	5	of	of	ADP
ejpam-2911	72	6	great	great	ADJ
ejpam-2911	72	7	importance	importance	NOUN
ejpam-2911	72	8	from	from	ADP
ejpam-2911	72	9	numerical	numerical	ADJ
ejpam-2911	72	10	stand	stand	NOUN
ejpam-2911	72	11	point	point	NOUN
ejpam-2911	72	12	as	as	SCONJ
ejpam-2911	72	13	they	they	PRON
ejpam-2911	72	14	provide	provide	VERB
ejpam-2911	72	15	accurate	accurate	ADJ
ejpam-2911	72	16	approximation	approximation	NOUN
ejpam-2911	72	17	(	(	PUNCT
ejpam-2911	72	18	see	see	VERB
ejpam-2911	72	19	,	,	PUNCT
ejpam-2911	72	20	[	[	X
ejpam-2911	72	21	6	6	NUM
ejpam-2911	72	22	]	]	PUNCT
ejpam-2911	72	23	,	,	PUNCT
ejpam-2911	73	1	[	[	X
ejpam-2911	73	2	12	12	NUM
ejpam-2911	73	3	]	]	PUNCT
ejpam-2911	73	4	,	,	PUNCT
ejpam-2911	73	5	[	[	X
ejpam-2911	73	6	7	7	NUM
ejpam-2911	73	7	,	,	PUNCT
ejpam-2911	73	8	8	8	NUM
ejpam-2911	73	9	,	,	PUNCT
ejpam-2911	73	10	20	20	NUM
ejpam-2911	73	11	]	]	PUNCT
ejpam-2911	73	12	)	)	PUNCT
ejpam-2911	73	13	.	.	PUNCT
ejpam-2911	74	1	the	the	DET
ejpam-2911	74	2	motivation	motivation	NOUN
ejpam-2911	74	3	of	of	ADP
ejpam-2911	74	4	this	this	DET
ejpam-2911	74	5	paper	paper	NOUN
ejpam-2911	74	6	is	be	AUX
ejpam-2911	74	7	to	to	PART
ejpam-2911	74	8	define	define	VERB
ejpam-2911	74	9	an	an	DET
ejpam-2911	74	10	implicit	implicit	ADJ
ejpam-2911	74	11	s	s	NOUN
ejpam-2911	74	12	-	-	PUNCT
ejpam-2911	74	13	iteration	iteration	NOUN
ejpam-2911	74	14	process	process	NOUN
ejpam-2911	74	15	with	with	ADP
ejpam-2911	74	16	higher	high	ADJ
ejpam-2911	74	17	rate	rate	NOUN
ejpam-2911	74	18	of	of	ADP
ejpam-2911	74	19	convergence	convergence	NOUN
ejpam-2911	74	20	when	when	SCONJ
ejpam-2911	74	21	compared	compare	VERB
ejpam-2911	74	22	with	with	ADP
ejpam-2911	74	23	mann	mann	PROPN
ejpam-2911	74	24	type(7	type(7	PROPN
ejpam-2911	74	25	)	)	PUNCT
ejpam-2911	74	26	and	and	CCONJ
ejpam-2911	74	27	ishikawa	ishikawa	PROPN
ejpam-2911	74	28	type	type	NOUN
ejpam-2911	74	29	(	(	PUNCT
ejpam-2911	74	30	6	6	NUM
ejpam-2911	74	31	)	)	PUNCT
ejpam-2911	74	32	implicit	implicit	ADJ
ejpam-2911	74	33	iterative	iterative	NOUN
ejpam-2911	74	34	processes	process	NOUN
ejpam-2911	74	35	.	.	PUNCT
ejpam-2911	75	1	let	let	VERB
ejpam-2911	75	2	e	e	PRON
ejpam-2911	75	3	be	be	AUX
ejpam-2911	75	4	a	a	DET
ejpam-2911	75	5	nonempty	nonempty	ADJ
ejpam-2911	75	6	convex	convex	NOUN
ejpam-2911	75	7	subset	subset	NOUN
ejpam-2911	75	8	of	of	ADP
ejpam-2911	75	9	a	a	DET
ejpam-2911	75	10	w−hyperbolic	w−hyperbolic	PROPN
ejpam-2911	75	11	space	space	NOUN
ejpam-2911	75	12	x	x	PUNCT
ejpam-2911	75	13	and	and	CCONJ
ejpam-2911	75	14	t	t	PROPN
ejpam-2911	75	15	:	:	PUNCT
ejpam-2911	75	16	e	e	X
ejpam-2911	75	17	→	→	PUNCT
ejpam-2911	75	18	e.	e.	PROPN
ejpam-2911	75	19	choose	choose	VERB
ejpam-2911	75	20	x0	x0	PROPN
ejpam-2911	75	21	∈	∈	PROPN
ejpam-2911	75	22	e	e	X
ejpam-2911	75	23	and	and	CCONJ
ejpam-2911	75	24	define	define	VERB
ejpam-2911	75	25	the	the	DET
ejpam-2911	75	26	sequence	sequence	NOUN
ejpam-2911	75	27	{	{	PUNCT
ejpam-2911	75	28	xn	xn	NOUN
ejpam-2911	75	29	}	}	PUNCT
ejpam-2911	75	30	as	as	SCONJ
ejpam-2911	75	31	follows	follow	VERB
ejpam-2911	75	32	:	:	PUNCT
ejpam-2911	75	33	xn	xn	PUNCT
ejpam-2911	76	1	=	=	SYM
ejpam-2911	76	2	w	w	PROPN
ejpam-2911	76	3	(	(	PUNCT
ejpam-2911	76	4	txn−1	txn−1	PROPN
ejpam-2911	76	5	,	,	PUNCT
ejpam-2911	76	6	t	t	PROPN
ejpam-2911	76	7	yn	yn	PROPN
ejpam-2911	76	8	,	,	PUNCT
ejpam-2911	76	9	αn	αn	NOUN
ejpam-2911	76	10	)	)	PUNCT
ejpam-2911	76	11	(	(	PUNCT
ejpam-2911	76	12	5	5	X
ejpam-2911	76	13	)	)	PUNCT
ejpam-2911	76	14	yn	yn	NOUN
ejpam-2911	77	1	=	=	SYM
ejpam-2911	77	2	w	w	PROPN
ejpam-2911	77	3	(	(	PUNCT
ejpam-2911	77	4	xn	xn	PROPN
ejpam-2911	77	5	,	,	PUNCT
ejpam-2911	77	6	txn	txn	NOUN
ejpam-2911	77	7	,	,	PUNCT
ejpam-2911	77	8	βn	βn	NOUN
ejpam-2911	77	9	)	)	PUNCT
ejpam-2911	77	10	,	,	PUNCT
ejpam-2911	77	11	n	n	PROPN
ejpam-2911	77	12	∈	∈	PROPN
ejpam-2911	77	13	n	n	CCONJ
ejpam-2911	77	14	,	,	PUNCT
ejpam-2911	77	15	where	where	SCONJ
ejpam-2911	77	16	{	{	PUNCT
ejpam-2911	77	17	an	an	NOUN
ejpam-2911	77	18	}	}	PUNCT
ejpam-2911	77	19	and	and	CCONJ
ejpam-2911	77	20	{	{	PUNCT
ejpam-2911	77	21	βn	βn	VERB
ejpam-2911	77	22	}	}	PUNCT
ejpam-2911	77	23	are	be	AUX
ejpam-2911	77	24	certain	certain	ADJ
ejpam-2911	77	25	real	real	ADJ
ejpam-2911	77	26	sequences	sequence	NOUN
ejpam-2911	77	27	in	in	ADP
ejpam-2911	77	28	[	[	X
ejpam-2911	77	29	0	0	NUM
ejpam-2911	77	30	,	,	PUNCT
ejpam-2911	77	31	1	1	NUM
ejpam-2911	77	32	]	]	PUNCT
ejpam-2911	77	33	.	.	PUNCT
ejpam-2911	78	1	we	we	PRON
ejpam-2911	78	2	translate	translate	VERB
ejpam-2911	78	3	implicit	implicit	ADJ
ejpam-2911	78	4	ishikawa	ishikawa	NOUN
ejpam-2911	78	5	and	and	CCONJ
ejpam-2911	78	6	implicit	implicit	ADJ
ejpam-2911	78	7	mann	mann	PROPN
ejpam-2911	78	8	iteration	iteration	NOUN
ejpam-2911	78	9	processes	process	NOUN
ejpam-2911	78	10	introduced	introduce	VERB
ejpam-2911	78	11	by	by	ADP
ejpam-2911	78	12	ćirić	ćirić	PROPN
ejpam-2911	78	13	et	et	PROPN
ejpam-2911	78	14	al	al	PROPN
ejpam-2911	78	15	.	.	PUNCT
ejpam-2911	79	1	(	(	PUNCT
ejpam-2911	79	2	[	[	X
ejpam-2911	79	3	8	8	NUM
ejpam-2911	79	4	,	,	PUNCT
ejpam-2911	79	5	9	9	NUM
ejpam-2911	79	6	]	]	PUNCT
ejpam-2911	79	7	)	)	PUNCT
ejpam-2911	79	8	in	in	ADP
ejpam-2911	79	9	the	the	DET
ejpam-2911	79	10	setup	setup	NOUN
ejpam-2911	79	11	of	of	ADP
ejpam-2911	79	12	w−hyperbolic	w−hyperbolic	PROPN
ejpam-2911	79	13	space	space	NOUN
ejpam-2911	79	14	as	as	SCONJ
ejpam-2911	79	15	follows	follow	VERB
ejpam-2911	79	16	:	:	PUNCT
ejpam-2911	79	17	xn	xn	PUNCT
ejpam-2911	80	1	=	=	SYM
ejpam-2911	80	2	w	w	PROPN
ejpam-2911	80	3	(	(	PUNCT
ejpam-2911	80	4	xn−1	xn−1	PROPN
ejpam-2911	80	5	,	,	PUNCT
ejpam-2911	80	6	tyn	tyn	PROPN
ejpam-2911	80	7	,	,	PUNCT
ejpam-2911	80	8	αn	αn	NOUN
ejpam-2911	80	9	)	)	PUNCT
ejpam-2911	80	10	(	(	PUNCT
ejpam-2911	80	11	6	6	X
ejpam-2911	80	12	)	)	PUNCT
ejpam-2911	80	13	yn	yn	NOUN
ejpam-2911	81	1	=	=	SYM
ejpam-2911	81	2	w	w	PROPN
ejpam-2911	81	3	(	(	PUNCT
ejpam-2911	81	4	xn	xn	PROPN
ejpam-2911	81	5	,	,	PUNCT
ejpam-2911	81	6	txn	txn	NOUN
ejpam-2911	81	7	,	,	PUNCT
ejpam-2911	81	8	βn	βn	NOUN
ejpam-2911	81	9	)	)	PUNCT
ejpam-2911	81	10	n	n	PRON
ejpam-2911	81	11	∈	∈	PROPN
ejpam-2911	81	12	n	n	CCONJ
ejpam-2911	81	13	,	,	PUNCT
ejpam-2911	81	14	and	and	CCONJ
ejpam-2911	81	15	xn	xn	PROPN
ejpam-2911	82	1	=	=	SYM
ejpam-2911	82	2	w	w	PROPN
ejpam-2911	82	3	(	(	PUNCT
ejpam-2911	82	4	xn−1	xn−1	PROPN
ejpam-2911	82	5	,	,	PUNCT
ejpam-2911	82	6	t	t	PROPN
ejpam-2911	82	7	yn	yn	PROPN
ejpam-2911	82	8	,	,	PUNCT
ejpam-2911	82	9	αn	αn	NOUN
ejpam-2911	82	10	)	)	PUNCT
ejpam-2911	82	11	,	,	PUNCT
ejpam-2911	82	12	n	n	PROPN
ejpam-2911	82	13	∈	∈	PROPN
ejpam-2911	82	14	n.	n.	NOUN
ejpam-2911	82	15	(	(	PUNCT
ejpam-2911	82	16	7	7	NUM
ejpam-2911	82	17	)	)	PUNCT
ejpam-2911	82	18	i.	i.	PROPN
ejpam-2911	82	19	yildirim	yildirim	PROPN
ejpam-2911	82	20	,	,	PUNCT
ejpam-2911	82	21	m.	m.	NOUN
ejpam-2911	82	22	abbas	abbas	PROPN
ejpam-2911	82	23	/	/	SYM
ejpam-2911	82	24	eur	eur	PROPN
ejpam-2911	82	25	.	.	PUNCT
ejpam-2911	83	1	j.	j.	PROPN
ejpam-2911	83	2	pure	pure	PROPN
ejpam-2911	83	3	appl	appl	PROPN
ejpam-2911	83	4	.	.	PROPN
ejpam-2911	83	5	math	math	PROPN
ejpam-2911	83	6	,	,	PUNCT
ejpam-2911	83	7	11	11	NUM
ejpam-2911	83	8	(	(	PUNCT
ejpam-2911	83	9	1	1	NUM
ejpam-2911	83	10	)	)	PUNCT
ejpam-2911	83	11	(	(	PUNCT
ejpam-2911	83	12	2018	2018	NUM
ejpam-2911	83	13	)	)	PUNCT
ejpam-2911	83	14	,	,	PUNCT
ejpam-2911	83	15	189	189	NUM
ejpam-2911	83	16	-	-	SYM
ejpam-2911	83	17	201	201	NUM
ejpam-2911	83	18	192	192	NUM
ejpam-2911	83	19	remark	remark	NOUN
ejpam-2911	83	20	1	1	NUM
ejpam-2911	83	21	.	.	PUNCT
ejpam-2911	83	22	note	note	VERB
ejpam-2911	83	23	that	that	SCONJ
ejpam-2911	83	24	,	,	PUNCT
ejpam-2911	83	25	the	the	DET
ejpam-2911	83	26	process	process	NOUN
ejpam-2911	83	27	(	(	PUNCT
ejpam-2911	83	28	5	5	X
ejpam-2911	83	29	)	)	PUNCT
ejpam-2911	83	30	is	be	AUX
ejpam-2911	83	31	independent	independent	ADJ
ejpam-2911	83	32	of	of	ADP
ejpam-2911	83	33	(	(	PUNCT
ejpam-2911	83	34	6	6	NUM
ejpam-2911	83	35	)	)	PUNCT
ejpam-2911	83	36	and	and	CCONJ
ejpam-2911	83	37	(	(	PUNCT
ejpam-2911	83	38	7	7	X
ejpam-2911	83	39	)	)	PUNCT
ejpam-2911	83	40	in	in	ADP
ejpam-2911	83	41	the	the	DET
ejpam-2911	83	42	sense	sense	NOUN
ejpam-2911	83	43	that	that	SCONJ
ejpam-2911	83	44	neither	neither	PRON
ejpam-2911	83	45	of	of	ADP
ejpam-2911	83	46	them	they	PRON
ejpam-2911	83	47	reduce	reduce	VERB
ejpam-2911	83	48	to	to	ADP
ejpam-2911	83	49	the	the	DET
ejpam-2911	83	50	other	other	ADJ
ejpam-2911	83	51	.	.	PUNCT
ejpam-2911	84	1	the	the	DET
ejpam-2911	84	2	following	follow	VERB
ejpam-2911	84	3	definition	definition	NOUN
ejpam-2911	84	4	is	be	AUX
ejpam-2911	84	5	due	due	ADJ
ejpam-2911	84	6	to	to	ADP
ejpam-2911	84	7	berinde	berinde	NOUN
ejpam-2911	84	8	[	[	X
ejpam-2911	84	9	3	3	NUM
ejpam-2911	84	10	]	]	PUNCT
ejpam-2911	84	11	.	.	PUNCT
ejpam-2911	85	1	definition	definition	NOUN
ejpam-2911	85	2	4	4	NUM
ejpam-2911	85	3	.	.	PUNCT
ejpam-2911	86	1	let	let	VERB
ejpam-2911	86	2	{	{	PUNCT
ejpam-2911	86	3	xn	xn	VERB
ejpam-2911	86	4	}	}	PUNCT
ejpam-2911	86	5	and	and	CCONJ
ejpam-2911	86	6	{	{	PUNCT
ejpam-2911	86	7	un	un	PROPN
ejpam-2911	86	8	}	}	PUNCT
ejpam-2911	86	9	be	be	VERB
ejpam-2911	86	10	two	two	NUM
ejpam-2911	86	11	fixed	fix	VERB
ejpam-2911	86	12	point	point	NOUN
ejpam-2911	86	13	iteration	iteration	NOUN
ejpam-2911	86	14	processes	process	NOUN
ejpam-2911	86	15	in	in	ADP
ejpam-2911	86	16	a	a	DET
ejpam-2911	86	17	metric	metric	ADJ
ejpam-2911	86	18	space	space	NOUN
ejpam-2911	86	19	x	x	PUNCT
ejpam-2911	86	20	such	such	ADJ
ejpam-2911	86	21	that	that	SCONJ
ejpam-2911	86	22	lim	lim	PROPN
ejpam-2911	86	23	n→∞	n→∞	X
ejpam-2911	86	24	xn	xn	PROPN
ejpam-2911	87	1	=	=	PROPN
ejpam-2911	87	2	lim	lim	PROPN
ejpam-2911	87	3	n→∞	n→∞	NUM
ejpam-2911	87	4	un	un	PROPN
ejpam-2911	87	5	=	=	SYM
ejpam-2911	87	6	p	p	PROPN
ejpam-2911	87	7	,	,	PUNCT
ejpam-2911	87	8	where	where	SCONJ
ejpam-2911	87	9	p	p	NOUN
ejpam-2911	87	10	is	be	AUX
ejpam-2911	87	11	a	a	DET
ejpam-2911	87	12	fixed	fix	VERB
ejpam-2911	87	13	point	point	NOUN
ejpam-2911	87	14	of	of	ADP
ejpam-2911	87	15	a	a	DET
ejpam-2911	87	16	self	self	NOUN
ejpam-2911	87	17	mapping	mapping	NOUN
ejpam-2911	87	18	t	t	NOUN
ejpam-2911	87	19	on	on	ADP
ejpam-2911	87	20	x.	x.	NOUN
ejpam-2911	87	21	suppose	suppose	VERB
ejpam-2911	87	22	that	that	SCONJ
ejpam-2911	87	23	d(xn	d(xn	PROPN
ejpam-2911	87	24	,	,	PUNCT
ejpam-2911	87	25	p	p	X
ejpam-2911	87	26	)	)	PUNCT
ejpam-2911	87	27	≤	≤	NOUN
ejpam-2911	87	28	an	an	DET
ejpam-2911	87	29	and	and	CCONJ
ejpam-2911	87	30	d(un	d(un	PROPN
ejpam-2911	87	31	,	,	PUNCT
ejpam-2911	87	32	p	p	NOUN
ejpam-2911	87	33	)	)	PUNCT
ejpam-2911	87	34	≤	≤	NOUN
ejpam-2911	87	35	bn	bn	NOUN
ejpam-2911	87	36	,	,	PUNCT
ejpam-2911	87	37	n	n	PROPN
ejpam-2911	87	38	∈	∈	PROPN
ejpam-2911	87	39	n.	n.	NOUN
ejpam-2911	87	40	where	where	SCONJ
ejpam-2911	87	41	{	{	PUNCT
ejpam-2911	87	42	an	an	NOUN
ejpam-2911	87	43	}	}	PUNCT
ejpam-2911	87	44	and	and	CCONJ
ejpam-2911	87	45	{	{	PUNCT
ejpam-2911	87	46	bn	bn	X
ejpam-2911	87	47	}	}	PUNCT
ejpam-2911	87	48	are	be	AUX
ejpam-2911	87	49	two	two	NUM
ejpam-2911	87	50	null	null	ADJ
ejpam-2911	87	51	sequences	sequence	NOUN
ejpam-2911	87	52	of	of	ADP
ejpam-2911	87	53	positive	positive	ADJ
ejpam-2911	87	54	numbers	number	NOUN
ejpam-2911	87	55	.	.	PUNCT
ejpam-2911	88	1	if	if	SCONJ
ejpam-2911	88	2	{	{	PUNCT
ejpam-2911	88	3	an	an	DET
ejpam-2911	88	4	}	}	PUNCT
ejpam-2911	88	5	converges	converge	NOUN
ejpam-2911	88	6	faster	fast	ADV
ejpam-2911	88	7	than	than	ADP
ejpam-2911	88	8	{	{	PUNCT
ejpam-2911	88	9	bn	bn	ADP
ejpam-2911	88	10	}	}	PUNCT
ejpam-2911	88	11	,	,	PUNCT
ejpam-2911	88	12	then	then	ADV
ejpam-2911	88	13	we	we	PRON
ejpam-2911	88	14	say	say	VERB
ejpam-2911	88	15	{	{	PUNCT
ejpam-2911	88	16	xn	xn	NOUN
ejpam-2911	88	17	}	}	PUNCT
ejpam-2911	88	18	converges	converge	VERB
ejpam-2911	88	19	faster	fast	ADV
ejpam-2911	88	20	than	than	ADP
ejpam-2911	88	21	{	{	PUNCT
ejpam-2911	88	22	un	un	PROPN
ejpam-2911	88	23	}	}	PUNCT
ejpam-2911	88	24	to	to	ADP
ejpam-2911	88	25	p.	p.	NOUN
ejpam-2911	88	26	we	we	PRON
ejpam-2911	88	27	also	also	ADV
ejpam-2911	88	28	need	need	VERB
ejpam-2911	88	29	the	the	DET
ejpam-2911	88	30	following	follow	VERB
ejpam-2911	88	31	lemma	lemma	PROPN
ejpam-2911	88	32	in	in	ADP
ejpam-2911	88	33	order	order	NOUN
ejpam-2911	88	34	to	to	PART
ejpam-2911	88	35	prove	prove	VERB
ejpam-2911	88	36	our	our	PRON
ejpam-2911	88	37	main	main	ADJ
ejpam-2911	88	38	results	result	NOUN
ejpam-2911	88	39	.	.	PUNCT
ejpam-2911	89	1	lemma	lemma	PROPN
ejpam-2911	89	2	1	1	NUM
ejpam-2911	89	3	.	.	PUNCT
ejpam-2911	90	1	[	[	X
ejpam-2911	90	2	18	18	NUM
ejpam-2911	90	3	]	]	X
ejpam-2911	90	4	let	let	VERB
ejpam-2911	90	5	{	{	PUNCT
ejpam-2911	90	6	an	an	PRON
ejpam-2911	90	7	}	}	PUNCT
ejpam-2911	90	8	be	be	AUX
ejpam-2911	90	9	a	a	DET
ejpam-2911	90	10	nonnegative	nonnegative	ADJ
ejpam-2911	90	11	sequence	sequence	NOUN
ejpam-2911	90	12	.	.	PUNCT
ejpam-2911	91	1	if	if	SCONJ
ejpam-2911	91	2	there	there	PRON
ejpam-2911	91	3	exists	exist	VERB
ejpam-2911	91	4	an	an	DET
ejpam-2911	91	5	n0	n0	ADJ
ejpam-2911	91	6	∈	∈	PROPN
ejpam-2911	91	7	n	n	CCONJ
ejpam-2911	91	8	such	such	ADJ
ejpam-2911	91	9	that	that	PRON
ejpam-2911	91	10	for	for	ADP
ejpam-2911	91	11	all	all	DET
ejpam-2911	91	12	n	n	PRON
ejpam-2911	91	13	≥	≥	NOUN
ejpam-2911	91	14	n0	n0	NUM
ejpam-2911	91	15	,	,	PUNCT
ejpam-2911	91	16	we	we	PRON
ejpam-2911	91	17	have	have	AUX
ejpam-2911	91	18	an+1	an+1	VERB
ejpam-2911	91	19	≤	≤	NOUN
ejpam-2911	91	20	(	(	PUNCT
ejpam-2911	91	21	1−	1−	NUM
ejpam-2911	91	22	µn)an	µn)an	PUNCT
ejpam-2911	92	1	+	+	X
ejpam-2911	92	2	µnηn	µnηn	NOUN
ejpam-2911	92	3	,	,	PUNCT
ejpam-2911	92	4	where	where	SCONJ
ejpam-2911	92	5	µn	µn	PROPN
ejpam-2911	92	6	∈	∈	PROPN
ejpam-2911	92	7	(	(	PUNCT
ejpam-2911	92	8	0	0	NUM
ejpam-2911	92	9	,	,	PUNCT
ejpam-2911	92	10	1	1	NUM
ejpam-2911	92	11	)	)	PUNCT
ejpam-2911	92	12	,	,	PUNCT
ejpam-2911	92	13	∑∞	∑∞	VERB
ejpam-2911	92	14	n=0	n=0	PUNCT
ejpam-2911	92	15	µn	µn	PROPN
ejpam-2911	92	16	=	=	NOUN
ejpam-2911	92	17	∞	∞	PROPN
ejpam-2911	92	18	and	and	CCONJ
ejpam-2911	92	19	ηn	ηn	X
ejpam-2911	92	20	≥	≥	NOUN
ejpam-2911	92	21	0	0	NUM
ejpam-2911	92	22	for	for	ADP
ejpam-2911	92	23	all	all	DET
ejpam-2911	92	24	n	n	DET
ejpam-2911	92	25	∈	∈	PROPN
ejpam-2911	92	26	n.	n.	NOUN
ejpam-2911	92	27	then	then	ADV
ejpam-2911	92	28	the	the	DET
ejpam-2911	92	29	following	follow	VERB
ejpam-2911	92	30	holds	hold	VERB
ejpam-2911	92	31	:	:	PUNCT
ejpam-2911	92	32	0	0	NUM
ejpam-2911	92	33	≤	≤	NUM
ejpam-2911	92	34	lim	lim	PROPN
ejpam-2911	92	35	n→∞	n→∞	NUM
ejpam-2911	92	36	sup	sup	NOUN
ejpam-2911	92	37	an	an	DET
ejpam-2911	92	38	≤	≤	ADJ
ejpam-2911	92	39	lim	lim	NOUN
ejpam-2911	92	40	n→∞	n→∞	NUM
ejpam-2911	92	41	sup	sup	NOUN
ejpam-2911	92	42	ηn	ηn	ADJ
ejpam-2911	92	43	.	.	PUNCT
ejpam-2911	93	1	2	2	X
ejpam-2911	93	2	.	.	X
ejpam-2911	93	3	main	main	ADJ
ejpam-2911	93	4	results	result	NOUN
ejpam-2911	93	5	we	we	PRON
ejpam-2911	93	6	start	start	VERB
ejpam-2911	93	7	with	with	ADP
ejpam-2911	93	8	the	the	DET
ejpam-2911	93	9	following	follow	VERB
ejpam-2911	93	10	result	result	NOUN
ejpam-2911	93	11	.	.	PUNCT
ejpam-2911	94	1	theorem	theorem	NOUN
ejpam-2911	94	2	1	1	NUM
ejpam-2911	94	3	.	.	PUNCT
ejpam-2911	95	1	let	let	VERB
ejpam-2911	95	2	e	e	PRON
ejpam-2911	95	3	be	be	AUX
ejpam-2911	95	4	a	a	DET
ejpam-2911	95	5	nonempty	nonempty	ADV
ejpam-2911	95	6	closed	close	VERB
ejpam-2911	95	7	convex	convex	NOUN
ejpam-2911	95	8	subset	subset	NOUN
ejpam-2911	95	9	of	of	ADP
ejpam-2911	95	10	w−hyperbolic	w−hyperbolic	PROPN
ejpam-2911	95	11	space	space	NOUN
ejpam-2911	95	12	x	x	PUNCT
ejpam-2911	95	13	and	and	CCONJ
ejpam-2911	95	14	t	t	PROPN
ejpam-2911	95	15	:	:	PUNCT
ejpam-2911	95	16	e	e	X
ejpam-2911	95	17	→	→	PUNCT
ejpam-2911	95	18	e	e	PROPN
ejpam-2911	95	19	a	a	DET
ejpam-2911	95	20	contractive	contractive	ADJ
ejpam-2911	95	21	type	type	NOUN
ejpam-2911	95	22	mapping	mapping	NOUN
ejpam-2911	95	23	with	with	ADP
ejpam-2911	95	24	f	f	PROPN
ejpam-2911	95	25	(	(	PUNCT
ejpam-2911	95	26	t	t	PROPN
ejpam-2911	95	27	)	)	PUNCT
ejpam-2911	95	28	6=	6=	ADP
ejpam-2911	95	29	∅.	∅.	ADP
ejpam-2911	95	30	then	then	ADV
ejpam-2911	95	31	,	,	PUNCT
ejpam-2911	95	32	for	for	ADP
ejpam-2911	95	33	the	the	DET
ejpam-2911	95	34	sequence	sequence	NOUN
ejpam-2911	95	35	{	{	PUNCT
ejpam-2911	95	36	xn	xn	NOUN
ejpam-2911	95	37	}	}	PUNCT
ejpam-2911	95	38	defined	define	VERB
ejpam-2911	95	39	in	in	ADP
ejpam-2911	95	40	(	(	PUNCT
ejpam-2911	95	41	5	5	NUM
ejpam-2911	95	42	)	)	PUNCT
ejpam-2911	95	43	with	with	ADP
ejpam-2911	95	44	∑	∑	PROPN
ejpam-2911	95	45	(	(	PUNCT
ejpam-2911	95	46	1−	1−	NUM
ejpam-2911	95	47	αn	αn	NOUN
ejpam-2911	95	48	)	)	PUNCT
ejpam-2911	96	1	=	=	SYM
ejpam-2911	96	2	∞	∞	PROPN
ejpam-2911	96	3	,	,	PUNCT
ejpam-2911	96	4	we	we	PRON
ejpam-2911	96	5	have	have	VERB
ejpam-2911	96	6	lim	lim	PROPN
ejpam-2911	96	7	n→∞	n→∞	X
ejpam-2911	96	8	xn	xn	PROPN
ejpam-2911	97	1	=	=	SYM
ejpam-2911	97	2	p	p	X
ejpam-2911	97	3	,	,	PUNCT
ejpam-2911	97	4	where	where	SCONJ
ejpam-2911	97	5	p	p	PROPN
ejpam-2911	97	6	∈	∈	PROPN
ejpam-2911	97	7	f	f	X
ejpam-2911	97	8	(	(	PUNCT
ejpam-2911	97	9	t	t	PROPN
ejpam-2911	97	10	)	)	PUNCT
ejpam-2911	97	11	.	.	PUNCT
ejpam-2911	98	1	proof	proof	NOUN
ejpam-2911	98	2	.	.	PUNCT
ejpam-2911	99	1	suppose	suppose	VERB
ejpam-2911	99	2	that	that	SCONJ
ejpam-2911	99	3	p	p	PROPN
ejpam-2911	99	4	∈	∈	PROPN
ejpam-2911	99	5	f	f	X
ejpam-2911	99	6	(	(	PUNCT
ejpam-2911	99	7	t	t	PROPN
ejpam-2911	99	8	)	)	PUNCT
ejpam-2911	99	9	.	.	PUNCT
ejpam-2911	100	1	using	use	VERB
ejpam-2911	100	2	(	(	PUNCT
ejpam-2911	100	3	5	5	NUM
ejpam-2911	100	4	)	)	PUNCT
ejpam-2911	100	5	and	and	CCONJ
ejpam-2911	100	6	(	(	PUNCT
ejpam-2911	100	7	4	4	NUM
ejpam-2911	100	8	)	)	PUNCT
ejpam-2911	100	9	,	,	PUNCT
ejpam-2911	100	10	we	we	PRON
ejpam-2911	100	11	have	have	VERB
ejpam-2911	100	12	d(xn	d(xn	NOUN
ejpam-2911	100	13	,	,	PUNCT
ejpam-2911	100	14	p	p	X
ejpam-2911	100	15	)	)	PUNCT
ejpam-2911	100	16	=	=	SYM
ejpam-2911	100	17	d(w	d(w	PROPN
ejpam-2911	100	18	(	(	PUNCT
ejpam-2911	100	19	txn−1	txn−1	PROPN
ejpam-2911	100	20	,	,	PUNCT
ejpam-2911	100	21	t	t	PROPN
ejpam-2911	100	22	yn	yn	PROPN
ejpam-2911	100	23	,	,	PUNCT
ejpam-2911	100	24	αn	αn	NOUN
ejpam-2911	100	25	)	)	PUNCT
ejpam-2911	100	26	,	,	PUNCT
ejpam-2911	100	27	p	p	X
ejpam-2911	100	28	)	)	PUNCT
ejpam-2911	100	29	(	(	PUNCT
ejpam-2911	100	30	8)	8)	NUM
ejpam-2911	100	31	≤	≤	PUNCT
ejpam-2911	100	32	αnd(txn−1	αnd(txn−1	PROPN
ejpam-2911	100	33	,	,	PUNCT
ejpam-2911	100	34	p	p	X
ejpam-2911	100	35	)	)	PUNCT
ejpam-2911	100	36	+	+	CCONJ
ejpam-2911	100	37	(	(	PUNCT
ejpam-2911	100	38	1−	1−	NUM
ejpam-2911	100	39	αn)d(tyn	αn)d(tyn	NOUN
ejpam-2911	100	40	,	,	PUNCT
ejpam-2911	100	41	p	p	NOUN
ejpam-2911	100	42	)	)	PUNCT
ejpam-2911	100	43	≤	≤	NUM
ejpam-2911	100	44	αn	αn	NOUN
ejpam-2911	101	1	[	[	X
ejpam-2911	101	2	δd(xn−1	δd(xn−1	PROPN
ejpam-2911	101	3	,	,	PUNCT
ejpam-2911	101	4	p	p	NOUN
ejpam-2911	101	5	)	)	PUNCT
ejpam-2911	102	1	+	+	NOUN
ejpam-2911	102	2	ϕ	ϕ	X
ejpam-2911	102	3	(	(	PUNCT
ejpam-2911	102	4	d	d	X
ejpam-2911	102	5	(	(	PUNCT
ejpam-2911	102	6	p	p	X
ejpam-2911	102	7	,	,	PUNCT
ejpam-2911	102	8	tp	tp	NOUN
ejpam-2911	102	9	)	)	PUNCT
ejpam-2911	102	10	)	)	PUNCT
ejpam-2911	102	11	]	]	PUNCT
ejpam-2911	103	1	+	+	X
ejpam-2911	103	2	(	(	PUNCT
ejpam-2911	103	3	1−	1−	NUM
ejpam-2911	103	4	αn	αn	NOUN
ejpam-2911	103	5	)	)	PUNCT
ejpam-2911	104	1	[	[	X
ejpam-2911	104	2	δd(yn	δd(yn	NOUN
ejpam-2911	104	3	,	,	PUNCT
ejpam-2911	104	4	p	p	NOUN
ejpam-2911	104	5	)	)	PUNCT
ejpam-2911	105	1	+	+	NOUN
ejpam-2911	105	2	ϕ	ϕ	X
ejpam-2911	105	3	(	(	PUNCT
ejpam-2911	105	4	d	d	X
ejpam-2911	105	5	(	(	PUNCT
ejpam-2911	105	6	p	p	X
ejpam-2911	105	7	,	,	PUNCT
ejpam-2911	105	8	tp	tp	NOUN
ejpam-2911	105	9	)	)	PUNCT
ejpam-2911	105	10	)	)	PUNCT
ejpam-2911	105	11	]	]	PUNCT
ejpam-2911	106	1	=	=	SYM
ejpam-2911	106	2	αnδd(xn−1	αnδd(xn−1	X
ejpam-2911	106	3	,	,	PUNCT
ejpam-2911	106	4	p	p	NOUN
ejpam-2911	106	5	)	)	PUNCT
ejpam-2911	106	6	+	+	CCONJ
ejpam-2911	106	7	(	(	PUNCT
ejpam-2911	106	8	1−	1−	NUM
ejpam-2911	106	9	αn)δd(yn	αn)δd(yn	NUM
ejpam-2911	106	10	,	,	PUNCT
ejpam-2911	106	11	p	p	NOUN
ejpam-2911	106	12	)	)	PUNCT
ejpam-2911	106	13	and	and	CCONJ
ejpam-2911	106	14	d(yn	d(yn	NOUN
ejpam-2911	106	15	,	,	PUNCT
ejpam-2911	106	16	p	p	NOUN
ejpam-2911	106	17	)	)	PUNCT
ejpam-2911	106	18	=	=	SYM
ejpam-2911	107	1	d(w	d(w	PROPN
ejpam-2911	107	2	(	(	PUNCT
ejpam-2911	107	3	xn	xn	PROPN
ejpam-2911	107	4	,	,	PUNCT
ejpam-2911	107	5	txn	txn	NOUN
ejpam-2911	107	6	,	,	PUNCT
ejpam-2911	107	7	βn	βn	NOUN
ejpam-2911	107	8	)	)	PUNCT
ejpam-2911	107	9	,	,	PUNCT
ejpam-2911	107	10	p	p	X
ejpam-2911	107	11	)	)	PUNCT
ejpam-2911	107	12	(	(	PUNCT
ejpam-2911	107	13	9	9	X
ejpam-2911	107	14	)	)	PUNCT
ejpam-2911	107	15	≤	≤	NOUN
ejpam-2911	107	16	βnd(xn	βnd(xn	NOUN
ejpam-2911	107	17	,	,	PUNCT
ejpam-2911	107	18	p	p	X
ejpam-2911	107	19	)	)	PUNCT
ejpam-2911	107	20	+	+	CCONJ
ejpam-2911	107	21	(	(	PUNCT
ejpam-2911	107	22	1−	1−	NUM
ejpam-2911	107	23	βn)d(txn	βn)d(txn	NOUN
ejpam-2911	107	24	,	,	PUNCT
ejpam-2911	107	25	p	p	NOUN
ejpam-2911	107	26	)	)	PUNCT
ejpam-2911	107	27	≤	≤	NOUN
ejpam-2911	107	28	βnd(xn	βnd(xn	NOUN
ejpam-2911	107	29	,	,	PUNCT
ejpam-2911	107	30	p	p	X
ejpam-2911	107	31	)	)	PUNCT
ejpam-2911	107	32	+	+	CCONJ
ejpam-2911	107	33	(	(	PUNCT
ejpam-2911	107	34	1−	1−	NUM
ejpam-2911	107	35	βn	βn	NOUN
ejpam-2911	107	36	)	)	PUNCT
ejpam-2911	108	1	[	[	X
ejpam-2911	108	2	δd(xn	δd(xn	PROPN
ejpam-2911	108	3	,	,	PUNCT
ejpam-2911	108	4	p	p	NOUN
ejpam-2911	108	5	)	)	PUNCT
ejpam-2911	108	6	+	+	NOUN
ejpam-2911	108	7	ϕ	ϕ	X
ejpam-2911	108	8	(	(	PUNCT
ejpam-2911	108	9	d	d	X
ejpam-2911	108	10	(	(	PUNCT
ejpam-2911	108	11	p	p	X
ejpam-2911	108	12	,	,	PUNCT
ejpam-2911	108	13	tp	tp	NOUN
ejpam-2911	108	14	)	)	PUNCT
ejpam-2911	108	15	)	)	PUNCT
ejpam-2911	108	16	]	]	PUNCT
ejpam-2911	109	1	=	=	PUNCT
ejpam-2911	109	2	βnd(xn	βnd(xn	NOUN
ejpam-2911	109	3	,	,	PUNCT
ejpam-2911	109	4	p	p	X
ejpam-2911	109	5	)	)	PUNCT
ejpam-2911	109	6	+	+	CCONJ
ejpam-2911	109	7	(	(	PUNCT
ejpam-2911	109	8	1−	1−	NUM
ejpam-2911	109	9	βn)δd(xn	βn)δd(xn	X
ejpam-2911	109	10	,	,	PUNCT
ejpam-2911	109	11	p	p	NOUN
ejpam-2911	109	12	)	)	PUNCT
ejpam-2911	109	13	=	=	PUNCT
ejpam-2911	110	1	[	[	X
ejpam-2911	110	2	βn	βn	X
ejpam-2911	110	3	+	+	CCONJ
ejpam-2911	110	4	(	(	PUNCT
ejpam-2911	110	5	1−	1−	NUM
ejpam-2911	110	6	βn)δ	βn)δ	PROPN
ejpam-2911	110	7	]	]	X
ejpam-2911	110	8	d(xn	d(xn	PROPN
ejpam-2911	110	9	,	,	PUNCT
ejpam-2911	110	10	p	p	NOUN
ejpam-2911	110	11	)	)	PUNCT
ejpam-2911	110	12	.	.	PUNCT
ejpam-2911	111	1	i.	i.	PROPN
ejpam-2911	111	2	yildirim	yildirim	PROPN
ejpam-2911	111	3	,	,	PUNCT
ejpam-2911	111	4	m.	m.	NOUN
ejpam-2911	111	5	abbas	abbas	PROPN
ejpam-2911	111	6	/	/	SYM
ejpam-2911	111	7	eur	eur	PROPN
ejpam-2911	111	8	.	.	PUNCT
ejpam-2911	112	1	j.	j.	PROPN
ejpam-2911	112	2	pure	pure	PROPN
ejpam-2911	112	3	appl	appl	PROPN
ejpam-2911	112	4	.	.	PROPN
ejpam-2911	112	5	math	math	PROPN
ejpam-2911	112	6	,	,	PUNCT
ejpam-2911	112	7	11	11	NUM
ejpam-2911	112	8	(	(	PUNCT
ejpam-2911	112	9	1	1	NUM
ejpam-2911	112	10	)	)	PUNCT
ejpam-2911	112	11	(	(	PUNCT
ejpam-2911	112	12	2018	2018	NUM
ejpam-2911	112	13	)	)	PUNCT
ejpam-2911	112	14	,	,	PUNCT
ejpam-2911	112	15	189	189	NUM
ejpam-2911	112	16	-	-	SYM
ejpam-2911	112	17	201	201	NUM
ejpam-2911	112	18	193	193	NUM
ejpam-2911	112	19	therefore	therefore	ADV
ejpam-2911	112	20	,	,	PUNCT
ejpam-2911	112	21	d(xn	d(xn	PROPN
ejpam-2911	112	22	,	,	PUNCT
ejpam-2911	112	23	p	p	NOUN
ejpam-2911	112	24	)	)	PUNCT
ejpam-2911	112	25	≤	≤	NOUN
ejpam-2911	112	26	αnδd(xn−1	αnδd(xn−1	NUM
ejpam-2911	112	27	,	,	PUNCT
ejpam-2911	112	28	p	p	X
ejpam-2911	112	29	)	)	PUNCT
ejpam-2911	112	30	+	+	CCONJ
ejpam-2911	112	31	(	(	PUNCT
ejpam-2911	112	32	1−	1−	NUM
ejpam-2911	112	33	αn)δ	αn)δ	PROPN
ejpam-2911	113	1	[	[	X
ejpam-2911	113	2	βn	βn	X
ejpam-2911	113	3	+	+	CCONJ
ejpam-2911	113	4	(	(	PUNCT
ejpam-2911	113	5	1−	1−	NUM
ejpam-2911	113	6	βn)δ	βn)δ	PROPN
ejpam-2911	113	7	]	]	X
ejpam-2911	113	8	d(xn	d(xn	PROPN
ejpam-2911	113	9	,	,	PUNCT
ejpam-2911	113	10	p	p	NOUN
ejpam-2911	113	11	)	)	PUNCT
ejpam-2911	113	12	.	.	PUNCT
ejpam-2911	114	1	that	that	PRON
ejpam-2911	114	2	is	be	AUX
ejpam-2911	114	3	,	,	PUNCT
ejpam-2911	114	4	[	[	X
ejpam-2911	114	5	1−	1−	NUM
ejpam-2911	114	6	(	(	PUNCT
ejpam-2911	114	7	1−	1−	NUM
ejpam-2911	114	8	αn)δ	αn)δ	PROPN
ejpam-2911	115	1	[	[	X
ejpam-2911	115	2	βn	βn	X
ejpam-2911	115	3	+	+	CCONJ
ejpam-2911	115	4	(	(	PUNCT
ejpam-2911	115	5	1−	1−	NUM
ejpam-2911	115	6	βn)δ	βn)δ	PROPN
ejpam-2911	115	7	]	]	X
ejpam-2911	115	8	]	]	X
ejpam-2911	116	1	d(xn	d(xn	PROPN
ejpam-2911	116	2	,	,	PUNCT
ejpam-2911	116	3	p	p	NOUN
ejpam-2911	116	4	)	)	PUNCT
ejpam-2911	116	5	≤	≤	NOUN
ejpam-2911	116	6	αnδd(xn−1	αnδd(xn−1	NUM
ejpam-2911	116	7	,	,	PUNCT
ejpam-2911	116	8	p	p	NOUN
ejpam-2911	116	9	)	)	PUNCT
ejpam-2911	116	10	,	,	PUNCT
ejpam-2911	116	11	(	(	PUNCT
ejpam-2911	116	12	10	10	NUM
ejpam-2911	116	13	)	)	PUNCT
ejpam-2911	116	14	which	which	PRON
ejpam-2911	116	15	further	far	ADV
ejpam-2911	116	16	implies	imply	VERB
ejpam-2911	116	17	that	that	SCONJ
ejpam-2911	116	18	d(xn	d(xn	PROPN
ejpam-2911	116	19	,	,	PUNCT
ejpam-2911	116	20	p	p	NOUN
ejpam-2911	116	21	)	)	PUNCT
ejpam-2911	116	22	≤	≤	NOUN
ejpam-2911	116	23	αnδ	αnδ	ADJ
ejpam-2911	116	24	1−	1−	NUM
ejpam-2911	116	25	(	(	PUNCT
ejpam-2911	116	26	1−	1−	NUM
ejpam-2911	116	27	αn)δ	αn)δ	PROPN
ejpam-2911	117	1	[	[	X
ejpam-2911	117	2	βn	βn	X
ejpam-2911	117	3	+	+	CCONJ
ejpam-2911	117	4	(	(	PUNCT
ejpam-2911	117	5	1−	1−	NUM
ejpam-2911	117	6	βn)δ	βn)δ	PROPN
ejpam-2911	117	7	]	]	X
ejpam-2911	117	8	d(xn−1	d(xn−1	SYM
ejpam-2911	117	9	,	,	PUNCT
ejpam-2911	117	10	p	p	NOUN
ejpam-2911	117	11	)	)	PUNCT
ejpam-2911	117	12	.	.	PUNCT
ejpam-2911	118	1	(	(	PUNCT
ejpam-2911	118	2	11	11	X
ejpam-2911	118	3	)	)	PUNCT
ejpam-2911	118	4	we	we	PRON
ejpam-2911	118	5	set	set	VERB
ejpam-2911	118	6	∆n	∆n	PROPN
ejpam-2911	118	7	=	=	PROPN
ejpam-2911	118	8	αnδ	αnδ	PROPN
ejpam-2911	118	9	1−	1−	NUM
ejpam-2911	118	10	(	(	PUNCT
ejpam-2911	118	11	1−	1−	NUM
ejpam-2911	118	12	αn)δ	αn)δ	PROPN
ejpam-2911	119	1	[	[	X
ejpam-2911	119	2	βn	βn	X
ejpam-2911	119	3	+	+	CCONJ
ejpam-2911	119	4	(	(	PUNCT
ejpam-2911	119	5	1−	1−	NUM
ejpam-2911	119	6	βn)δ	βn)δ	PROPN
ejpam-2911	119	7	]	]	PUNCT
ejpam-2911	119	8	.	.	PUNCT
ejpam-2911	120	1	then	then	ADV
ejpam-2911	120	2	1−∆n	1−∆n	NUM
ejpam-2911	120	3	=	=	SYM
ejpam-2911	120	4	1−	1−	NUM
ejpam-2911	120	5	αnδ	αnδ	X
ejpam-2911	120	6	1−	1−	NUM
ejpam-2911	121	1	(	(	PUNCT
ejpam-2911	121	2	1−	1−	NUM
ejpam-2911	121	3	αn)δ	αn)δ	PROPN
ejpam-2911	121	4	[	[	X
ejpam-2911	121	5	βn	βn	X
ejpam-2911	121	6	+	+	CCONJ
ejpam-2911	121	7	(	(	PUNCT
ejpam-2911	121	8	1−	1−	NUM
ejpam-2911	121	9	βn)δ	βn)δ	PROPN
ejpam-2911	121	10	]	]	X
ejpam-2911	122	1	=	=	SYM
ejpam-2911	123	1	1−	1−	NUM
ejpam-2911	124	1	(	(	PUNCT
ejpam-2911	124	2	1−	1−	NUM
ejpam-2911	124	3	αn)δ	αn)δ	PROPN
ejpam-2911	125	1	[	[	X
ejpam-2911	125	2	βn	βn	X
ejpam-2911	125	3	+	+	CCONJ
ejpam-2911	125	4	(	(	PUNCT
ejpam-2911	125	5	1−	1−	NUM
ejpam-2911	125	6	βn)δ]−	βn)δ]−	SYM
ejpam-2911	125	7	αnδ	αnδ	PROPN
ejpam-2911	125	8	1−	1−	NUM
ejpam-2911	125	9	(	(	PUNCT
ejpam-2911	125	10	1−	1−	NUM
ejpam-2911	125	11	αn)δ	αn)δ	PROPN
ejpam-2911	126	1	[	[	X
ejpam-2911	126	2	βn	βn	X
ejpam-2911	126	3	+	+	CCONJ
ejpam-2911	126	4	(	(	PUNCT
ejpam-2911	126	5	1−	1−	NUM
ejpam-2911	126	6	βn)δ	βn)δ	PROPN
ejpam-2911	126	7	]	]	X
ejpam-2911	126	8	≥	≥	X
ejpam-2911	126	9	1−	1−	NUM
ejpam-2911	126	10	(	(	PUNCT
ejpam-2911	126	11	1−	1−	NUM
ejpam-2911	126	12	αn)δ	αn)δ	PROPN
ejpam-2911	127	1	[	[	X
ejpam-2911	127	2	βn	βn	X
ejpam-2911	127	3	+	+	CCONJ
ejpam-2911	127	4	(	(	PUNCT
ejpam-2911	127	5	1−	1−	NUM
ejpam-2911	127	6	βn)δ]−	βn)δ]−	NUM
ejpam-2911	127	7	αnδ	αnδ	PROPN
ejpam-2911	127	8	implies	imply	VERB
ejpam-2911	127	9	that	that	SCONJ
ejpam-2911	127	10	∆n	∆n	PROPN
ejpam-2911	127	11	≤	≤	NOUN
ejpam-2911	127	12	(	(	PUNCT
ejpam-2911	127	13	1−	1−	NUM
ejpam-2911	127	14	αn)δ	αn)δ	PROPN
ejpam-2911	127	15	[	[	X
ejpam-2911	127	16	βn	βn	X
ejpam-2911	127	17	+	+	CCONJ
ejpam-2911	127	18	(	(	PUNCT
ejpam-2911	127	19	1−	1−	NUM
ejpam-2911	127	20	βn)δ	βn)δ	PROPN
ejpam-2911	127	21	]	]	X
ejpam-2911	127	22	+	+	CCONJ
ejpam-2911	127	23	αnδ	αnδ	ADJ
ejpam-2911	127	24	(	(	PUNCT
ejpam-2911	127	25	12	12	NUM
ejpam-2911	127	26	)	)	PUNCT
ejpam-2911	127	27	=	=	PUNCT
ejpam-2911	128	1	(	(	PUNCT
ejpam-2911	128	2	1−	1−	NUM
ejpam-2911	128	3	αn)δ	αn)δ	PROPN
ejpam-2911	128	4	[	[	X
ejpam-2911	128	5	1−	1−	NUM
ejpam-2911	128	6	(	(	PUNCT
ejpam-2911	128	7	1−	1−	NUM
ejpam-2911	128	8	δ	δ	NOUN
ejpam-2911	128	9	)	)	PUNCT
ejpam-2911	128	10	(	(	PUNCT
ejpam-2911	128	11	1−	1−	NUM
ejpam-2911	128	12	βn	βn	NOUN
ejpam-2911	128	13	)	)	PUNCT
ejpam-2911	128	14	]	]	PUNCT
ejpam-2911	129	1	+	+	CCONJ
ejpam-2911	129	2	αnδ	αnδ	ADJ
ejpam-2911	129	3	≤	≤	NOUN
ejpam-2911	129	4	(	(	PUNCT
ejpam-2911	129	5	1−	1−	NUM
ejpam-2911	129	6	αn)δ	αn)δ	PROPN
ejpam-2911	129	7	+	+	NUM
ejpam-2911	129	8	αn	αn	NOUN
ejpam-2911	129	9	=	=	SYM
ejpam-2911	129	10	1−	1−	NUM
ejpam-2911	129	11	(	(	PUNCT
ejpam-2911	129	12	1−	1−	NUM
ejpam-2911	129	13	αn	αn	NOUN
ejpam-2911	129	14	)	)	PUNCT
ejpam-2911	129	15	(	(	PUNCT
ejpam-2911	129	16	1−	1−	NUM
ejpam-2911	129	17	δ	δ	NOUN
ejpam-2911	129	18	)	)	PUNCT
ejpam-2911	129	19	.	.	PUNCT
ejpam-2911	130	1	by	by	ADP
ejpam-2911	130	2	(	(	PUNCT
ejpam-2911	130	3	11	11	NUM
ejpam-2911	130	4	)	)	PUNCT
ejpam-2911	130	5	and	and	CCONJ
ejpam-2911	130	6	(	(	PUNCT
ejpam-2911	130	7	12	12	NUM
ejpam-2911	130	8	)	)	PUNCT
ejpam-2911	130	9	,	,	PUNCT
ejpam-2911	130	10	we	we	PRON
ejpam-2911	130	11	have	have	VERB
ejpam-2911	130	12	d(xn	d(xn	PROPN
ejpam-2911	130	13	,	,	PUNCT
ejpam-2911	130	14	p	p	NOUN
ejpam-2911	130	15	)	)	PUNCT
ejpam-2911	130	16	≤	≤	NOUN
ejpam-2911	131	1	[	[	X
ejpam-2911	131	2	1−	1−	NUM
ejpam-2911	131	3	(	(	PUNCT
ejpam-2911	131	4	1−	1−	NUM
ejpam-2911	131	5	αn	αn	NOUN
ejpam-2911	131	6	)	)	PUNCT
ejpam-2911	131	7	(	(	PUNCT
ejpam-2911	131	8	1−	1−	NUM
ejpam-2911	131	9	δ	δ	NOUN
ejpam-2911	131	10	)	)	PUNCT
ejpam-2911	131	11	]	]	PUNCT
ejpam-2911	131	12	d(xn−1	d(xn−1	PUNCT
ejpam-2911	131	13	,	,	PUNCT
ejpam-2911	131	14	p	p	NOUN
ejpam-2911	131	15	)	)	PUNCT
ejpam-2911	131	16	(	(	PUNCT
ejpam-2911	131	17	13	13	NUM
ejpam-2911	131	18	)	)	PUNCT
ejpam-2911	131	19	≤	≤	PROPN
ejpam-2911	131	20	n∏	n∏	PROPN
ejpam-2911	131	21	i=1	i=1	PUNCT
ejpam-2911	132	1	[	[	X
ejpam-2911	132	2	1−	1−	NUM
ejpam-2911	132	3	(	(	PUNCT
ejpam-2911	132	4	1−	1−	NUM
ejpam-2911	132	5	αi	αi	NOUN
ejpam-2911	132	6	)	)	PUNCT
ejpam-2911	132	7	(	(	PUNCT
ejpam-2911	132	8	1−	1−	NUM
ejpam-2911	132	9	δ	δ	NOUN
ejpam-2911	132	10	)	)	PUNCT
ejpam-2911	132	11	]	]	PUNCT
ejpam-2911	132	12	d(x0	d(x0	NOUN
ejpam-2911	132	13	,	,	PUNCT
ejpam-2911	132	14	p	p	NOUN
ejpam-2911	132	15	)	)	PUNCT
ejpam-2911	132	16	.	.	PUNCT
ejpam-2911	133	1	since	since	SCONJ
ejpam-2911	133	2	a	a	DET
ejpam-2911	133	3	>	>	X
ejpam-2911	133	4	0	0	NUM
ejpam-2911	133	5	,	,	PUNCT
ejpam-2911	133	6	1	1	NUM
ejpam-2911	133	7	+	+	CCONJ
ejpam-2911	133	8	a	a	DET
ejpam-2911	133	9	≤	≤	NUM
ejpam-2911	133	10	ea	ea	NOUN
ejpam-2911	133	11	,	,	PUNCT
ejpam-2911	133	12	(	(	PUNCT
ejpam-2911	133	13	13	13	NUM
ejpam-2911	133	14	)	)	PUNCT
ejpam-2911	133	15	gives	give	VERB
ejpam-2911	133	16	that	that	PRON
ejpam-2911	133	17	d(xn	d(xn	PROPN
ejpam-2911	133	18	,	,	PUNCT
ejpam-2911	133	19	p	p	NOUN
ejpam-2911	133	20	)	)	PUNCT
ejpam-2911	133	21	≤	≤	NOUN
ejpam-2911	133	22	exp	exp	NOUN
ejpam-2911	133	23	{	{	PUNCT
ejpam-2911	133	24	n∑	n∑	NOUN
ejpam-2911	133	25	i=1	i=1	PROPN
ejpam-2911	133	26	(	(	PUNCT
ejpam-2911	133	27	1−	1−	NUM
ejpam-2911	133	28	αi	αi	NOUN
ejpam-2911	133	29	)	)	PUNCT
ejpam-2911	133	30	(	(	PUNCT
ejpam-2911	133	31	1−	1−	NUM
ejpam-2911	133	32	δ	δ	NOUN
ejpam-2911	133	33	)	)	PUNCT
ejpam-2911	133	34	}	}	PUNCT
ejpam-2911	133	35	d(x0	d(x0	NOUN
ejpam-2911	133	36	,	,	PUNCT
ejpam-2911	133	37	p	p	NOUN
ejpam-2911	133	38	)	)	PUNCT
ejpam-2911	133	39	(	(	PUNCT
ejpam-2911	133	40	14	14	NUM
ejpam-2911	133	41	)	)	PUNCT
ejpam-2911	133	42	≤	≤	NOUN
ejpam-2911	133	43	exp	exp	NOUN
ejpam-2911	133	44	{	{	PUNCT
ejpam-2911	133	45	∞∑	∞∑	PROPN
ejpam-2911	133	46	n=1	n=1	PROPN
ejpam-2911	133	47	(	(	PUNCT
ejpam-2911	133	48	1−	1−	NUM
ejpam-2911	133	49	αn	αn	NOUN
ejpam-2911	133	50	)	)	PUNCT
ejpam-2911	133	51	(	(	PUNCT
ejpam-2911	133	52	1−	1−	NUM
ejpam-2911	133	53	δ	δ	NOUN
ejpam-2911	133	54	)	)	PUNCT
ejpam-2911	133	55	}	}	PUNCT
ejpam-2911	133	56	d(x0	d(x0	NOUN
ejpam-2911	133	57	,	,	PUNCT
ejpam-2911	133	58	p	p	NOUN
ejpam-2911	133	59	)	)	PUNCT
ejpam-2911	133	60	.	.	PUNCT
ejpam-2911	134	1	using	use	VERB
ejpam-2911	134	2	the	the	DET
ejpam-2911	134	3	fact	fact	NOUN
ejpam-2911	134	4	that	that	SCONJ
ejpam-2911	134	5	0	0	NUM
ejpam-2911	134	6	≤	≤	NUM
ejpam-2911	134	7	δ	δ	X
ejpam-2911	134	8	<	<	X
ejpam-2911	134	9	1	1	NUM
ejpam-2911	134	10	and	and	CCONJ
ejpam-2911	134	11	∑	∑	PROPN
ejpam-2911	134	12	(	(	PUNCT
ejpam-2911	134	13	1−αn	1−αn	NUM
ejpam-2911	134	14	)	)	PUNCT
ejpam-2911	134	15	=	=	SYM
ejpam-2911	134	16	∞	∞	PROPN
ejpam-2911	134	17	,	,	PUNCT
ejpam-2911	134	18	we	we	PRON
ejpam-2911	134	19	conclude	conclude	VERB
ejpam-2911	134	20	that	that	SCONJ
ejpam-2911	134	21	limn→∞	limn→∞	PROPN
ejpam-2911	134	22	d(xn	d(xn	X
ejpam-2911	134	23	,	,	PUNCT
ejpam-2911	134	24	p	p	NOUN
ejpam-2911	134	25	)	)	PUNCT
ejpam-2911	134	26	=	=	SYM
ejpam-2911	134	27	0	0	X
ejpam-2911	134	28	.	.	PUNCT
ejpam-2911	134	29	i.	i.	PROPN
ejpam-2911	134	30	yildirim	yildirim	PROPN
ejpam-2911	134	31	,	,	PUNCT
ejpam-2911	134	32	m.	m.	NOUN
ejpam-2911	134	33	abbas	abbas	PROPN
ejpam-2911	134	34	/	/	SYM
ejpam-2911	134	35	eur	eur	PROPN
ejpam-2911	134	36	.	.	PUNCT
ejpam-2911	135	1	j.	j.	PROPN
ejpam-2911	135	2	pure	pure	PROPN
ejpam-2911	135	3	appl	appl	PROPN
ejpam-2911	135	4	.	.	PROPN
ejpam-2911	135	5	math	math	PROPN
ejpam-2911	135	6	,	,	PUNCT
ejpam-2911	135	7	11	11	NUM
ejpam-2911	135	8	(	(	PUNCT
ejpam-2911	135	9	1	1	NUM
ejpam-2911	135	10	)	)	PUNCT
ejpam-2911	135	11	(	(	PUNCT
ejpam-2911	135	12	2018	2018	NUM
ejpam-2911	135	13	)	)	PUNCT
ejpam-2911	135	14	,	,	PUNCT
ejpam-2911	135	15	189	189	NUM
ejpam-2911	135	16	-	-	SYM
ejpam-2911	135	17	201	201	NUM
ejpam-2911	135	18	194	194	NUM
ejpam-2911	135	19	the	the	DET
ejpam-2911	135	20	following	following	ADJ
ejpam-2911	135	21	result	result	NOUN
ejpam-2911	135	22	deals	deal	NOUN
ejpam-2911	135	23	with	with	ADP
ejpam-2911	135	24	the	the	DET
ejpam-2911	135	25	rate	rate	NOUN
ejpam-2911	135	26	of	of	ADP
ejpam-2911	135	27	convergence	convergence	NOUN
ejpam-2911	135	28	of	of	ADP
ejpam-2911	135	29	implicit	implicit	ADJ
ejpam-2911	135	30	s	s	NOUN
ejpam-2911	135	31	-	-	PUNCT
ejpam-2911	135	32	iteration	iteration	NOUN
ejpam-2911	135	33	process	process	NOUN
ejpam-2911	135	34	.	.	PUNCT
ejpam-2911	136	1	theorem	theorem	NOUN
ejpam-2911	136	2	2	2	NUM
ejpam-2911	136	3	.	.	PUNCT
ejpam-2911	137	1	let	let	VERB
ejpam-2911	137	2	e	e	PRON
ejpam-2911	137	3	be	be	AUX
ejpam-2911	137	4	a	a	DET
ejpam-2911	137	5	nonempty	nonempty	ADV
ejpam-2911	137	6	closed	close	VERB
ejpam-2911	137	7	convex	convex	NOUN
ejpam-2911	137	8	subset	subset	NOUN
ejpam-2911	137	9	of	of	ADP
ejpam-2911	137	10	w−hyperbolic	w−hyperbolic	PROPN
ejpam-2911	137	11	space	space	NOUN
ejpam-2911	137	12	x	x	PUNCT
ejpam-2911	137	13	and	and	CCONJ
ejpam-2911	137	14	t	t	PROPN
ejpam-2911	137	15	:	:	PUNCT
ejpam-2911	137	16	e	e	X
ejpam-2911	137	17	→	→	PUNCT
ejpam-2911	137	18	e	e	PROPN
ejpam-2911	137	19	a	a	DET
ejpam-2911	137	20	contractive	contractive	ADJ
ejpam-2911	137	21	type	type	NOUN
ejpam-2911	137	22	mapping	mapping	NOUN
ejpam-2911	137	23	with	with	ADP
ejpam-2911	137	24	f	f	PROPN
ejpam-2911	137	25	(	(	PUNCT
ejpam-2911	137	26	t	t	PROPN
ejpam-2911	137	27	)	)	PUNCT
ejpam-2911	137	28	6=	6=	ADP
ejpam-2911	137	29	∅.	∅.	ADP
ejpam-2911	137	30	then	then	ADV
ejpam-2911	137	31	,	,	PUNCT
ejpam-2911	137	32	the	the	DET
ejpam-2911	137	33	sequence	sequence	NOUN
ejpam-2911	137	34	{	{	PUNCT
ejpam-2911	137	35	xn	xn	NOUN
ejpam-2911	137	36	}	}	PUNCT
ejpam-2911	137	37	defined	define	VERB
ejpam-2911	137	38	in	in	ADP
ejpam-2911	137	39	(	(	PUNCT
ejpam-2911	137	40	5	5	NUM
ejpam-2911	137	41	)	)	PUNCT
ejpam-2911	137	42	with	with	ADP
ejpam-2911	137	43	∑	∑	PROPN
ejpam-2911	137	44	(	(	PUNCT
ejpam-2911	137	45	1−	1−	NUM
ejpam-2911	137	46	αn	αn	NOUN
ejpam-2911	137	47	)	)	PUNCT
ejpam-2911	137	48	=	=	NUM
ejpam-2911	137	49	∞	∞	NUM
ejpam-2911	137	50	converges	converge	VERB
ejpam-2911	137	51	to	to	ADP
ejpam-2911	137	52	the	the	DET
ejpam-2911	137	53	fixed	fix	VERB
ejpam-2911	137	54	point	point	NOUN
ejpam-2911	137	55	of	of	ADP
ejpam-2911	137	56	t	t	NOUN
ejpam-2911	137	57	faster	fast	ADV
ejpam-2911	137	58	than	than	ADP
ejpam-2911	137	59	implicit	implicit	ADJ
ejpam-2911	137	60	ishikawa	ishikawa	NOUN
ejpam-2911	137	61	type	type	NOUN
ejpam-2911	137	62	(	(	PUNCT
ejpam-2911	137	63	6	6	NUM
ejpam-2911	137	64	)	)	PUNCT
ejpam-2911	137	65	and	and	CCONJ
ejpam-2911	137	66	implicit	implicit	ADJ
ejpam-2911	137	67	mann	mann	NOUN
ejpam-2911	137	68	type	type	NOUN
ejpam-2911	137	69	(	(	PUNCT
ejpam-2911	137	70	7	7	NUM
ejpam-2911	137	71	)	)	PUNCT
ejpam-2911	137	72	iterations	iteration	NOUN
ejpam-2911	137	73	.	.	PUNCT
ejpam-2911	138	1	proof	proof	NOUN
ejpam-2911	138	2	.	.	PUNCT
ejpam-2911	139	1	let	let	VERB
ejpam-2911	139	2	p	p	PRON
ejpam-2911	139	3	be	be	AUX
ejpam-2911	139	4	a	a	DET
ejpam-2911	139	5	fixed	fixed	ADJ
ejpam-2911	139	6	point	point	NOUN
ejpam-2911	139	7	of	of	ADP
ejpam-2911	139	8	t	t	PROPN
ejpam-2911	139	9	.	.	PUNCT
ejpam-2911	140	1	using	use	VERB
ejpam-2911	140	2	an	an	DET
ejpam-2911	140	3	implicit	implicit	ADJ
ejpam-2911	140	4	ishikawa	ishikawa	NOUN
ejpam-2911	140	5	type	type	NOUN
ejpam-2911	140	6	(	(	PUNCT
ejpam-2911	140	7	6	6	NUM
ejpam-2911	140	8	)	)	PUNCT
ejpam-2911	140	9	iteration	iteration	NOUN
ejpam-2911	140	10	process	process	NOUN
ejpam-2911	140	11	we	we	PRON
ejpam-2911	140	12	have	have	VERB
ejpam-2911	140	13	,	,	PUNCT
ejpam-2911	140	14	d(xn	d(xn	PROPN
ejpam-2911	140	15	,	,	PUNCT
ejpam-2911	140	16	p	p	X
ejpam-2911	140	17	)	)	PUNCT
ejpam-2911	140	18	=	=	SYM
ejpam-2911	140	19	d(w	d(w	PROPN
ejpam-2911	140	20	(	(	PUNCT
ejpam-2911	140	21	xn−1	xn−1	PROPN
ejpam-2911	140	22	,	,	PUNCT
ejpam-2911	140	23	t	t	PROPN
ejpam-2911	140	24	yn	yn	PROPN
ejpam-2911	140	25	,	,	PUNCT
ejpam-2911	140	26	αn	αn	NOUN
ejpam-2911	140	27	)	)	PUNCT
ejpam-2911	140	28	,	,	PUNCT
ejpam-2911	140	29	p	p	X
ejpam-2911	140	30	)	)	PUNCT
ejpam-2911	140	31	(	(	PUNCT
ejpam-2911	140	32	15	15	NUM
ejpam-2911	140	33	)	)	PUNCT
ejpam-2911	140	34	≤	≤	NOUN
ejpam-2911	141	1	αnd(xn−1	αnd(xn−1	PROPN
ejpam-2911	141	2	,	,	PUNCT
ejpam-2911	141	3	p	p	NOUN
ejpam-2911	141	4	)	)	PUNCT
ejpam-2911	141	5	+	+	CCONJ
ejpam-2911	141	6	(	(	PUNCT
ejpam-2911	141	7	1−	1−	NUM
ejpam-2911	141	8	αn)d(tyn	αn)d(tyn	NOUN
ejpam-2911	141	9	,	,	PUNCT
ejpam-2911	141	10	p	p	NOUN
ejpam-2911	141	11	)	)	PUNCT
ejpam-2911	141	12	≤	≤	NOUN
ejpam-2911	142	1	αnd(xn−1	αnd(xn−1	PROPN
ejpam-2911	142	2	,	,	PUNCT
ejpam-2911	142	3	p	p	NOUN
ejpam-2911	142	4	)	)	PUNCT
ejpam-2911	142	5	+	+	CCONJ
ejpam-2911	142	6	(	(	PUNCT
ejpam-2911	142	7	1−	1−	NUM
ejpam-2911	142	8	αn	αn	NOUN
ejpam-2911	142	9	)	)	PUNCT
ejpam-2911	143	1	[	[	X
ejpam-2911	143	2	δd(yn	δd(yn	NOUN
ejpam-2911	143	3	,	,	PUNCT
ejpam-2911	143	4	p	p	NOUN
ejpam-2911	143	5	)	)	PUNCT
ejpam-2911	144	1	+	+	NOUN
ejpam-2911	144	2	ϕ	ϕ	X
ejpam-2911	144	3	(	(	PUNCT
ejpam-2911	144	4	d	d	X
ejpam-2911	144	5	(	(	PUNCT
ejpam-2911	144	6	p	p	X
ejpam-2911	144	7	,	,	PUNCT
ejpam-2911	144	8	tp	tp	NOUN
ejpam-2911	144	9	)	)	PUNCT
ejpam-2911	144	10	)	)	PUNCT
ejpam-2911	144	11	]	]	PUNCT
ejpam-2911	145	1	=	=	PUNCT
ejpam-2911	145	2	αnd(xn−1	αnd(xn−1	PROPN
ejpam-2911	145	3	,	,	PUNCT
ejpam-2911	145	4	p	p	NOUN
ejpam-2911	145	5	)	)	PUNCT
ejpam-2911	145	6	+	+	CCONJ
ejpam-2911	145	7	(	(	PUNCT
ejpam-2911	145	8	1−	1−	NUM
ejpam-2911	145	9	αn)δd(yn	αn)δd(yn	NUM
ejpam-2911	145	10	,	,	PUNCT
ejpam-2911	145	11	p	p	NOUN
ejpam-2911	145	12	)	)	PUNCT
ejpam-2911	145	13	and	and	CCONJ
ejpam-2911	145	14	d(yn	d(yn	NOUN
ejpam-2911	145	15	,	,	PUNCT
ejpam-2911	145	16	p	p	NOUN
ejpam-2911	145	17	)	)	PUNCT
ejpam-2911	145	18	=	=	SYM
ejpam-2911	145	19	d(w	d(w	PROPN
ejpam-2911	145	20	(	(	PUNCT
ejpam-2911	145	21	xn	xn	PROPN
ejpam-2911	145	22	,	,	PUNCT
ejpam-2911	145	23	txn	txn	NOUN
ejpam-2911	145	24	,	,	PUNCT
ejpam-2911	145	25	βn	βn	NOUN
ejpam-2911	145	26	)	)	PUNCT
ejpam-2911	145	27	,	,	PUNCT
ejpam-2911	145	28	p	p	X
ejpam-2911	145	29	)	)	PUNCT
ejpam-2911	145	30	(	(	PUNCT
ejpam-2911	145	31	16	16	NUM
ejpam-2911	145	32	)	)	PUNCT
ejpam-2911	145	33	≤	≤	NOUN
ejpam-2911	145	34	βnd(xn	βnd(xn	NOUN
ejpam-2911	145	35	,	,	PUNCT
ejpam-2911	145	36	p	p	X
ejpam-2911	145	37	)	)	PUNCT
ejpam-2911	145	38	+	+	CCONJ
ejpam-2911	145	39	(	(	PUNCT
ejpam-2911	145	40	1−	1−	NUM
ejpam-2911	145	41	βn)d(txn	βn)d(txn	NOUN
ejpam-2911	145	42	,	,	PUNCT
ejpam-2911	145	43	p	p	NOUN
ejpam-2911	145	44	)	)	PUNCT
ejpam-2911	145	45	≤	≤	NOUN
ejpam-2911	145	46	βnd(xn	βnd(xn	NOUN
ejpam-2911	145	47	,	,	PUNCT
ejpam-2911	145	48	p	p	X
ejpam-2911	145	49	)	)	PUNCT
ejpam-2911	145	50	+	+	CCONJ
ejpam-2911	145	51	(	(	PUNCT
ejpam-2911	145	52	1−	1−	NUM
ejpam-2911	145	53	βn	βn	NOUN
ejpam-2911	145	54	)	)	PUNCT
ejpam-2911	146	1	[	[	X
ejpam-2911	146	2	δd(xn	δd(xn	PROPN
ejpam-2911	146	3	,	,	PUNCT
ejpam-2911	146	4	p	p	NOUN
ejpam-2911	146	5	)	)	PUNCT
ejpam-2911	146	6	+	+	NOUN
ejpam-2911	146	7	ϕ	ϕ	X
ejpam-2911	146	8	(	(	PUNCT
ejpam-2911	146	9	d	d	X
ejpam-2911	146	10	(	(	PUNCT
ejpam-2911	146	11	p	p	X
ejpam-2911	146	12	,	,	PUNCT
ejpam-2911	146	13	tp	tp	NOUN
ejpam-2911	146	14	)	)	PUNCT
ejpam-2911	146	15	)	)	PUNCT
ejpam-2911	146	16	]	]	PUNCT
ejpam-2911	147	1	=	=	PUNCT
ejpam-2911	147	2	βnd(xn	βnd(xn	NOUN
ejpam-2911	147	3	,	,	PUNCT
ejpam-2911	147	4	p	p	X
ejpam-2911	147	5	)	)	PUNCT
ejpam-2911	147	6	+	+	CCONJ
ejpam-2911	147	7	(	(	PUNCT
ejpam-2911	147	8	1−	1−	NUM
ejpam-2911	147	9	βn)δd(xn	βn)δd(xn	X
ejpam-2911	147	10	,	,	PUNCT
ejpam-2911	147	11	p	p	NOUN
ejpam-2911	147	12	)	)	PUNCT
ejpam-2911	147	13	=	=	PUNCT
ejpam-2911	148	1	[	[	X
ejpam-2911	148	2	βn	βn	X
ejpam-2911	148	3	+	+	CCONJ
ejpam-2911	148	4	δ(1−	δ(1−	ADJ
ejpam-2911	148	5	βn	βn	NOUN
ejpam-2911	148	6	)	)	PUNCT
ejpam-2911	148	7	]	]	PUNCT
ejpam-2911	149	1	d(xn	d(xn	X
ejpam-2911	149	2	,	,	PUNCT
ejpam-2911	149	3	p	p	NOUN
ejpam-2911	149	4	)	)	PUNCT
ejpam-2911	149	5	.	.	PUNCT
ejpam-2911	150	1	therefore	therefore	ADV
ejpam-2911	150	2	,	,	PUNCT
ejpam-2911	150	3	d(xn	d(xn	PROPN
ejpam-2911	150	4	,	,	PUNCT
ejpam-2911	150	5	p	p	X
ejpam-2911	150	6	)	)	PUNCT
ejpam-2911	150	7	≤	≤	NOUN
ejpam-2911	150	8	αnd(xn−1	αnd(xn−1	PROPN
ejpam-2911	150	9	,	,	PUNCT
ejpam-2911	150	10	p	p	NOUN
ejpam-2911	150	11	)	)	PUNCT
ejpam-2911	150	12	+	+	CCONJ
ejpam-2911	150	13	(	(	PUNCT
ejpam-2911	150	14	1−	1−	NUM
ejpam-2911	150	15	αn)δ	αn)δ	PROPN
ejpam-2911	150	16	[	[	X
ejpam-2911	150	17	βn	βn	NOUN
ejpam-2911	150	18	+	+	CCONJ
ejpam-2911	150	19	δ(1−	δ(1−	ADJ
ejpam-2911	150	20	βn	βn	NOUN
ejpam-2911	150	21	)	)	PUNCT
ejpam-2911	150	22	]	]	PUNCT
ejpam-2911	151	1	d(xn	d(xn	X
ejpam-2911	151	2	,	,	PUNCT
ejpam-2911	151	3	p	p	NOUN
ejpam-2911	151	4	)	)	PUNCT
ejpam-2911	151	5	.	.	PUNCT
ejpam-2911	152	1	(	(	PUNCT
ejpam-2911	152	2	17	17	NUM
ejpam-2911	152	3	)	)	PUNCT
ejpam-2911	152	4	that	that	PRON
ejpam-2911	152	5	is	be	AUX
ejpam-2911	152	6	,	,	PUNCT
ejpam-2911	152	7	d(xn	d(xn	PROPN
ejpam-2911	152	8	,	,	PUNCT
ejpam-2911	152	9	p	p	X
ejpam-2911	152	10	)	)	PUNCT
ejpam-2911	152	11	≤	≤	NUM
ejpam-2911	152	12	αn	αn	NOUN
ejpam-2911	152	13	1−	1−	NUM
ejpam-2911	152	14	(	(	PUNCT
ejpam-2911	152	15	1−	1−	NUM
ejpam-2911	152	16	αn)δ	αn)δ	PROPN
ejpam-2911	153	1	[	[	X
ejpam-2911	153	2	βn	βn	NOUN
ejpam-2911	153	3	+	+	CCONJ
ejpam-2911	153	4	δ(1−	δ(1−	ADJ
ejpam-2911	153	5	βn	βn	NOUN
ejpam-2911	153	6	)	)	PUNCT
ejpam-2911	153	7	]	]	PUNCT
ejpam-2911	153	8	d(xn−1	d(xn−1	PUNCT
ejpam-2911	153	9	,	,	PUNCT
ejpam-2911	153	10	p	p	NOUN
ejpam-2911	153	11	)	)	PUNCT
ejpam-2911	153	12	(	(	PUNCT
ejpam-2911	153	13	18	18	NUM
ejpam-2911	153	14	)	)	PUNCT
ejpam-2911	153	15	≤	≤	NOUN
ejpam-2911	153	16	...	...	PUNCT
ejpam-2911	154	1	≤	≤	PROPN
ejpam-2911	154	2	cn	cn	INTJ
ejpam-2911	154	3	where	where	SCONJ
ejpam-2911	154	4	cn	cn	PROPN
ejpam-2911	154	5	=	=	PRON
ejpam-2911	154	6	(	(	PUNCT
ejpam-2911	154	7	αn	αn	NOUN
ejpam-2911	154	8	1−	1−	NUM
ejpam-2911	154	9	(	(	PUNCT
ejpam-2911	154	10	1−	1−	NUM
ejpam-2911	154	11	αn)δ	αn)δ	PROPN
ejpam-2911	155	1	[	[	X
ejpam-2911	155	2	βn	βn	NOUN
ejpam-2911	155	3	+	+	CCONJ
ejpam-2911	155	4	δ(1−	δ(1−	ADJ
ejpam-2911	155	5	βn	βn	NOUN
ejpam-2911	155	6	)	)	PUNCT
ejpam-2911	155	7	]	]	PUNCT
ejpam-2911	155	8	)	)	PUNCT
ejpam-2911	155	9	n	n	PRON
ejpam-2911	155	10	d(x0	d(x0	NOUN
ejpam-2911	155	11	,	,	PUNCT
ejpam-2911	155	12	p	p	NOUN
ejpam-2911	155	13	)	)	PUNCT
ejpam-2911	155	14	.	.	PUNCT
ejpam-2911	156	1	(	(	PUNCT
ejpam-2911	156	2	19	19	NUM
ejpam-2911	156	3	)	)	PUNCT
ejpam-2911	156	4	using	use	VERB
ejpam-2911	156	5	implicit	implicit	ADJ
ejpam-2911	156	6	mann	mann	PROPN
ejpam-2911	156	7	iteration	iteration	NOUN
ejpam-2911	156	8	(	(	PUNCT
ejpam-2911	156	9	6	6	NUM
ejpam-2911	156	10	)	)	PUNCT
ejpam-2911	156	11	,	,	PUNCT
ejpam-2911	156	12	we	we	PRON
ejpam-2911	156	13	obtain	obtain	VERB
ejpam-2911	156	14	that	that	SCONJ
ejpam-2911	156	15	d(xn	d(xn	PROPN
ejpam-2911	156	16	,	,	PUNCT
ejpam-2911	156	17	p	p	X
ejpam-2911	156	18	)	)	PUNCT
ejpam-2911	157	1	=	=	SYM
ejpam-2911	157	2	d(w	d(w	PROPN
ejpam-2911	157	3	(	(	PUNCT
ejpam-2911	157	4	xn−1	xn−1	PROPN
ejpam-2911	157	5	,	,	PUNCT
ejpam-2911	157	6	txn	txn	NOUN
ejpam-2911	157	7	,	,	PUNCT
ejpam-2911	157	8	αn	αn	NOUN
ejpam-2911	157	9	)	)	PUNCT
ejpam-2911	157	10	,	,	PUNCT
ejpam-2911	157	11	p	p	X
ejpam-2911	157	12	)	)	PUNCT
ejpam-2911	157	13	(	(	PUNCT
ejpam-2911	157	14	20	20	NUM
ejpam-2911	157	15	)	)	PUNCT
ejpam-2911	157	16	≤	≤	NOUN
ejpam-2911	158	1	αnd(xn−1	αnd(xn−1	PROPN
ejpam-2911	158	2	,	,	PUNCT
ejpam-2911	158	3	p	p	NOUN
ejpam-2911	158	4	)	)	PUNCT
ejpam-2911	158	5	+	+	CCONJ
ejpam-2911	158	6	(	(	PUNCT
ejpam-2911	158	7	1−	1−	NUM
ejpam-2911	158	8	αn)d(txn	αn)d(txn	NOUN
ejpam-2911	158	9	,	,	PUNCT
ejpam-2911	158	10	p	p	NOUN
ejpam-2911	158	11	)	)	PUNCT
ejpam-2911	158	12	≤	≤	NOUN
ejpam-2911	159	1	αnd(xn−1	αnd(xn−1	PROPN
ejpam-2911	159	2	,	,	PUNCT
ejpam-2911	159	3	p	p	NOUN
ejpam-2911	159	4	)	)	PUNCT
ejpam-2911	159	5	+	+	CCONJ
ejpam-2911	159	6	(	(	PUNCT
ejpam-2911	159	7	1−	1−	NUM
ejpam-2911	159	8	αn	αn	NOUN
ejpam-2911	159	9	)	)	PUNCT
ejpam-2911	160	1	[	[	X
ejpam-2911	160	2	δd(xn	δd(xn	PROPN
ejpam-2911	160	3	,	,	PUNCT
ejpam-2911	160	4	p	p	NOUN
ejpam-2911	160	5	)	)	PUNCT
ejpam-2911	160	6	+	+	NOUN
ejpam-2911	160	7	ϕ	ϕ	X
ejpam-2911	160	8	(	(	PUNCT
ejpam-2911	160	9	d	d	X
ejpam-2911	160	10	(	(	PUNCT
ejpam-2911	160	11	p	p	X
ejpam-2911	160	12	,	,	PUNCT
ejpam-2911	160	13	tp	tp	NOUN
ejpam-2911	160	14	)	)	PUNCT
ejpam-2911	160	15	)	)	PUNCT
ejpam-2911	160	16	]	]	PUNCT
ejpam-2911	161	1	=	=	PUNCT
ejpam-2911	161	2	αnd(xn−1	αnd(xn−1	PROPN
ejpam-2911	161	3	,	,	PUNCT
ejpam-2911	161	4	p	p	NOUN
ejpam-2911	161	5	)	)	PUNCT
ejpam-2911	161	6	+	+	CCONJ
ejpam-2911	161	7	(	(	PUNCT
ejpam-2911	161	8	1−	1−	NUM
ejpam-2911	161	9	αn)δd(xn	αn)δd(xn	NUM
ejpam-2911	161	10	,	,	PUNCT
ejpam-2911	161	11	p	p	NOUN
ejpam-2911	161	12	)	)	PUNCT
ejpam-2911	161	13	.	.	PUNCT
ejpam-2911	162	1	thus	thus	ADV
ejpam-2911	162	2	,	,	PUNCT
ejpam-2911	162	3	we	we	PRON
ejpam-2911	162	4	have	have	VERB
ejpam-2911	162	5	d(xn	d(xn	NOUN
ejpam-2911	162	6	,	,	PUNCT
ejpam-2911	162	7	p	p	NOUN
ejpam-2911	162	8	)	)	PUNCT
ejpam-2911	162	9	≤	≤	NUM
ejpam-2911	162	10	αn	αn	NOUN
ejpam-2911	162	11	1−	1−	NUM
ejpam-2911	163	1	(	(	PUNCT
ejpam-2911	163	2	1−	1−	NUM
ejpam-2911	163	3	αn)δ	αn)δ	NUM
ejpam-2911	163	4	d(xn−1	d(xn−1	NOUN
ejpam-2911	163	5	,	,	PUNCT
ejpam-2911	163	6	p	p	X
ejpam-2911	163	7	)	)	PUNCT
ejpam-2911	163	8	(	(	PUNCT
ejpam-2911	163	9	21	21	NUM
ejpam-2911	163	10	)	)	PUNCT
ejpam-2911	163	11	i.	i.	PROPN
ejpam-2911	163	12	yildirim	yildirim	PROPN
ejpam-2911	163	13	,	,	PUNCT
ejpam-2911	163	14	m.	m.	NOUN
ejpam-2911	163	15	abbas	abbas	PROPN
ejpam-2911	163	16	/	/	SYM
ejpam-2911	163	17	eur	eur	PROPN
ejpam-2911	163	18	.	.	PUNCT
ejpam-2911	164	1	j.	j.	PROPN
ejpam-2911	164	2	pure	pure	PROPN
ejpam-2911	164	3	appl	appl	PROPN
ejpam-2911	164	4	.	.	PROPN
ejpam-2911	164	5	math	math	PROPN
ejpam-2911	164	6	,	,	PUNCT
ejpam-2911	164	7	11	11	NUM
ejpam-2911	164	8	(	(	PUNCT
ejpam-2911	164	9	1	1	NUM
ejpam-2911	164	10	)	)	PUNCT
ejpam-2911	164	11	(	(	PUNCT
ejpam-2911	164	12	2018	2018	NUM
ejpam-2911	164	13	)	)	PUNCT
ejpam-2911	164	14	,	,	PUNCT
ejpam-2911	164	15	189	189	NUM
ejpam-2911	164	16	-	-	SYM
ejpam-2911	164	17	201	201	NUM
ejpam-2911	164	18	195	195	NUM
ejpam-2911	164	19	≤	≤	NOUN
ejpam-2911	164	20	bn	bn	ADP
ejpam-2911	164	21	where	where	SCONJ
ejpam-2911	164	22	bn	bn	NOUN
ejpam-2911	164	23	=	=	SYM
ejpam-2911	164	24	(	(	PUNCT
ejpam-2911	164	25	αn	αn	NOUN
ejpam-2911	164	26	1−	1−	NUM
ejpam-2911	164	27	(	(	PUNCT
ejpam-2911	164	28	1−	1−	NUM
ejpam-2911	164	29	αn)δ	αn)δ	PROPN
ejpam-2911	164	30	)	)	PUNCT
ejpam-2911	164	31	n	n	PRON
ejpam-2911	164	32	d(x0	d(x0	NOUN
ejpam-2911	164	33	,	,	PUNCT
ejpam-2911	164	34	p	p	NOUN
ejpam-2911	164	35	)	)	PUNCT
ejpam-2911	164	36	.	.	PUNCT
ejpam-2911	165	1	(	(	PUNCT
ejpam-2911	165	2	22	22	X
ejpam-2911	165	3	)	)	PUNCT
ejpam-2911	165	4	using	use	VERB
ejpam-2911	165	5	implicit	implicit	ADJ
ejpam-2911	165	6	s	s	NOUN
ejpam-2911	165	7	-	-	PUNCT
ejpam-2911	165	8	iteration	iteration	NOUN
ejpam-2911	165	9	process	process	NOUN
ejpam-2911	165	10	and	and	CCONJ
ejpam-2911	165	11	following	follow	VERB
ejpam-2911	165	12	the	the	DET
ejpam-2911	165	13	arguments	argument	NOUN
ejpam-2911	165	14	of	of	ADP
ejpam-2911	165	15	the	the	DET
ejpam-2911	165	16	proof	proof	NOUN
ejpam-2911	165	17	of	of	ADP
ejpam-2911	165	18	theorem	theorem	NOUN
ejpam-2911	165	19	1	1	NUM
ejpam-2911	165	20	,	,	PUNCT
ejpam-2911	165	21	we	we	PRON
ejpam-2911	165	22	have	have	VERB
ejpam-2911	165	23	d(xn	d(xn	NOUN
ejpam-2911	165	24	,	,	PUNCT
ejpam-2911	165	25	p	p	NOUN
ejpam-2911	165	26	)	)	PUNCT
ejpam-2911	165	27	≤	≤	NOUN
ejpam-2911	165	28	αnδ	αnδ	ADJ
ejpam-2911	165	29	1−	1−	NUM
ejpam-2911	165	30	(	(	PUNCT
ejpam-2911	165	31	1−	1−	NUM
ejpam-2911	165	32	αn)δ	αn)δ	PROPN
ejpam-2911	166	1	[	[	X
ejpam-2911	166	2	βn	βn	X
ejpam-2911	166	3	+	+	CCONJ
ejpam-2911	166	4	(	(	PUNCT
ejpam-2911	166	5	1−	1−	NUM
ejpam-2911	166	6	βn)δ	βn)δ	PROPN
ejpam-2911	166	7	]	]	X
ejpam-2911	167	1	[	[	X
ejpam-2911	167	2	γn	γn	X
ejpam-2911	167	3	+	+	CCONJ
ejpam-2911	167	4	(	(	PUNCT
ejpam-2911	167	5	1−	1−	NUM
ejpam-2911	167	6	γn)δ	γn)δ	PROPN
ejpam-2911	167	7	]	]	X
ejpam-2911	167	8	d(xn−1	d(xn−1	PUNCT
ejpam-2911	167	9	,	,	PUNCT
ejpam-2911	167	10	p	p	X
ejpam-2911	167	11	)	)	PUNCT
ejpam-2911	167	12	≤	≤	NOUN
ejpam-2911	167	13	...	...	PUNCT
ejpam-2911	167	14	≤	≤	NOUN
ejpam-2911	168	1	an	an	DET
ejpam-2911	168	2	where	where	SCONJ
ejpam-2911	168	3	an	an	DET
ejpam-2911	168	4	=	=	X
ejpam-2911	168	5	(	(	PUNCT
ejpam-2911	168	6	αnδ	αnδ	PROPN
ejpam-2911	168	7	1−	1−	NUM
ejpam-2911	168	8	(	(	PUNCT
ejpam-2911	168	9	1−	1−	NUM
ejpam-2911	168	10	αn)δ	αn)δ	PROPN
ejpam-2911	169	1	[	[	X
ejpam-2911	169	2	βn	βn	X
ejpam-2911	169	3	+	+	CCONJ
ejpam-2911	169	4	(	(	PUNCT
ejpam-2911	169	5	1−	1−	NUM
ejpam-2911	169	6	βn)δ	βn)δ	PROPN
ejpam-2911	169	7	]	]	X
ejpam-2911	170	1	[	[	X
ejpam-2911	170	2	γn	γn	X
ejpam-2911	170	3	+	+	CCONJ
ejpam-2911	170	4	(	(	PUNCT
ejpam-2911	170	5	1−	1−	NUM
ejpam-2911	170	6	γn)δ	γn)δ	PROPN
ejpam-2911	170	7	]	]	PUNCT
ejpam-2911	170	8	)	)	PUNCT
ejpam-2911	170	9	n	n	PRON
ejpam-2911	170	10	d(x0	d(x0	NOUN
ejpam-2911	170	11	,	,	PUNCT
ejpam-2911	170	12	p	p	NOUN
ejpam-2911	170	13	)	)	PUNCT
ejpam-2911	170	14	.	.	PUNCT
ejpam-2911	171	1	(	(	PUNCT
ejpam-2911	171	2	23	23	X
ejpam-2911	171	3	)	)	PUNCT
ejpam-2911	171	4	note	note	NOUN
ejpam-2911	171	5	that	that	SCONJ
ejpam-2911	171	6	limn→∞	limn→∞	PROPN
ejpam-2911	171	7	an	an	DET
ejpam-2911	171	8	cn	cn	NOUN
ejpam-2911	171	9	=	=	PROPN
ejpam-2911	171	10	0	0	PROPN
ejpam-2911	171	11	and	and	CCONJ
ejpam-2911	171	12	limn→∞	limn→∞	PROPN
ejpam-2911	171	13	an	an	DET
ejpam-2911	171	14	bn	bn	NOUN
ejpam-2911	171	15	=	=	NOUN
ejpam-2911	171	16	0	0	NUM
ejpam-2911	171	17	.	.	PUNCT
ejpam-2911	172	1	indeed	indeed	ADV
ejpam-2911	172	2	,	,	PUNCT
ejpam-2911	172	3	[	[	X
ejpam-2911	172	4	γn	γn	NOUN
ejpam-2911	172	5	+	+	CCONJ
ejpam-2911	172	6	(	(	PUNCT
ejpam-2911	172	7	1−	1−	NUM
ejpam-2911	172	8	γn)δ	γn)δ	PROPN
ejpam-2911	172	9	]	]	X
ejpam-2911	172	10	<	<	X
ejpam-2911	172	11	1⇒	1⇒	PROPN
ejpam-2911	173	1	[	[	X
ejpam-2911	173	2	βn	βn	X
ejpam-2911	173	3	+	+	CCONJ
ejpam-2911	173	4	(	(	PUNCT
ejpam-2911	173	5	1−	1−	NUM
ejpam-2911	173	6	βn)δ	βn)δ	PROPN
ejpam-2911	173	7	]	]	X
ejpam-2911	173	8	<	<	X
ejpam-2911	173	9	1	1	NUM
ejpam-2911	173	10	⇒	⇒	NOUN
ejpam-2911	173	11	(	(	PUNCT
ejpam-2911	173	12	1−	1−	NUM
ejpam-2911	173	13	αn)δ	αn)δ	PROPN
ejpam-2911	173	14	[	[	X
ejpam-2911	173	15	βn	βn	X
ejpam-2911	173	16	+	+	CCONJ
ejpam-2911	173	17	(	(	PUNCT
ejpam-2911	173	18	1−	1−	NUM
ejpam-2911	173	19	βn)δ	βn)δ	PROPN
ejpam-2911	173	20	]	]	X
ejpam-2911	173	21	<	<	X
ejpam-2911	173	22	1	1	NUM
ejpam-2911	173	23	⇒	⇒	NOUN
ejpam-2911	173	24	1−	1−	NUM
ejpam-2911	173	25	(	(	PUNCT
ejpam-2911	173	26	1−	1−	NUM
ejpam-2911	173	27	αn)δ	αn)δ	PROPN
ejpam-2911	173	28	[	[	X
ejpam-2911	173	29	βn	βn	X
ejpam-2911	173	30	+	+	CCONJ
ejpam-2911	173	31	(	(	PUNCT
ejpam-2911	173	32	1−	1−	NUM
ejpam-2911	173	33	βn)δ	βn)δ	PROPN
ejpam-2911	173	34	]	]	X
ejpam-2911	173	35	>	>	X
ejpam-2911	173	36	0	0	NUM
ejpam-2911	173	37	,	,	PUNCT
ejpam-2911	173	38	give	give	VERB
ejpam-2911	173	39	αnδ	αnδ	PRON
ejpam-2911	173	40	<	<	X
ejpam-2911	173	41	αn	αn	X
ejpam-2911	173	42	⇒	⇒	NOUN
ejpam-2911	173	43	αnδ	αnδ	PROPN
ejpam-2911	173	44	1−	1−	NUM
ejpam-2911	173	45	(	(	PUNCT
ejpam-2911	173	46	1−	1−	NUM
ejpam-2911	173	47	αn)δ	αn)δ	PROPN
ejpam-2911	174	1	[	[	X
ejpam-2911	174	2	βn	βn	NOUN
ejpam-2911	174	3	+	+	CCONJ
ejpam-2911	174	4	δ(1−	δ(1−	ADJ
ejpam-2911	174	5	βn	βn	NOUN
ejpam-2911	174	6	)	)	PUNCT
ejpam-2911	174	7	]	]	PUNCT
ejpam-2911	174	8	<	<	X
ejpam-2911	174	9	αn	αn	NOUN
ejpam-2911	174	10	1−	1−	NUM
ejpam-2911	174	11	(	(	PUNCT
ejpam-2911	174	12	1−	1−	NUM
ejpam-2911	174	13	αn)δ	αn)δ	PROPN
ejpam-2911	174	14	⇒	⇒	NOUN
ejpam-2911	174	15	(	(	PUNCT
ejpam-2911	174	16	αnδ	αnδ	PROPN
ejpam-2911	174	17	1−	1−	NUM
ejpam-2911	174	18	(	(	PUNCT
ejpam-2911	174	19	1−	1−	NUM
ejpam-2911	174	20	αn)δ	αn)δ	PROPN
ejpam-2911	175	1	[	[	X
ejpam-2911	175	2	βn	βn	NOUN
ejpam-2911	175	3	+	+	CCONJ
ejpam-2911	175	4	δ(1−	δ(1−	ADJ
ejpam-2911	175	5	βn	βn	NOUN
ejpam-2911	175	6	)	)	PUNCT
ejpam-2911	175	7	]	]	PUNCT
ejpam-2911	175	8	)	)	PUNCT
ejpam-2911	176	1	n	n	CCONJ
ejpam-2911	176	2	<	<	X
ejpam-2911	176	3	(	(	PUNCT
ejpam-2911	176	4	αn	αn	NOUN
ejpam-2911	176	5	1−	1−	NUM
ejpam-2911	176	6	(	(	PUNCT
ejpam-2911	176	7	1−	1−	NUM
ejpam-2911	176	8	αn)δ	αn)δ	PROPN
ejpam-2911	176	9	)	)	PUNCT
ejpam-2911	176	10	n	n	PROPN
ejpam-2911	176	11	and	and	CCONJ
ejpam-2911	176	12	αnδ	αnδ	VERB
ejpam-2911	176	13	<	<	X
ejpam-2911	176	14	αn	αn	X
ejpam-2911	176	15	⇒	⇒	NOUN
ejpam-2911	176	16	αnδ	αnδ	PROPN
ejpam-2911	176	17	1−	1−	NUM
ejpam-2911	176	18	(	(	PUNCT
ejpam-2911	176	19	1−	1−	NUM
ejpam-2911	176	20	αn)δ	αn)δ	PROPN
ejpam-2911	177	1	[	[	X
ejpam-2911	177	2	βn	βn	NOUN
ejpam-2911	177	3	+	+	CCONJ
ejpam-2911	177	4	δ(1−	δ(1−	ADJ
ejpam-2911	177	5	βn	βn	NOUN
ejpam-2911	177	6	)	)	PUNCT
ejpam-2911	177	7	]	]	PUNCT
ejpam-2911	177	8	<	<	X
ejpam-2911	177	9	αn	αn	NOUN
ejpam-2911	177	10	1−	1−	NUM
ejpam-2911	177	11	(	(	PUNCT
ejpam-2911	177	12	1−	1−	NUM
ejpam-2911	177	13	αn)δ	αn)δ	PROPN
ejpam-2911	178	1	[	[	X
ejpam-2911	178	2	βn	βn	NOUN
ejpam-2911	178	3	+	+	CCONJ
ejpam-2911	178	4	δ(1−	δ(1−	ADJ
ejpam-2911	178	5	βn	βn	NOUN
ejpam-2911	178	6	)	)	PUNCT
ejpam-2911	178	7	]	]	PUNCT
ejpam-2911	178	8	⇒	⇒	NOUN
ejpam-2911	178	9	(	(	PUNCT
ejpam-2911	178	10	αnδ	αnδ	PROPN
ejpam-2911	178	11	1−	1−	NUM
ejpam-2911	178	12	(	(	PUNCT
ejpam-2911	178	13	1−	1−	NUM
ejpam-2911	178	14	αn)δ	αn)δ	PROPN
ejpam-2911	178	15	[	[	X
ejpam-2911	178	16	βn	βn	NOUN
ejpam-2911	178	17	+	+	CCONJ
ejpam-2911	178	18	δ(1−	δ(1−	ADJ
ejpam-2911	178	19	βn	βn	NOUN
ejpam-2911	178	20	)	)	PUNCT
ejpam-2911	178	21	]	]	PUNCT
ejpam-2911	178	22	)	)	PUNCT
ejpam-2911	179	1	n	n	CCONJ
ejpam-2911	179	2	<	<	X
ejpam-2911	179	3	(	(	PUNCT
ejpam-2911	179	4	αn	αn	NOUN
ejpam-2911	179	5	1−	1−	NUM
ejpam-2911	179	6	(	(	PUNCT
ejpam-2911	179	7	1−	1−	NUM
ejpam-2911	179	8	αn)δ	αn)δ	PROPN
ejpam-2911	180	1	[	[	X
ejpam-2911	180	2	βn	βn	NOUN
ejpam-2911	180	3	+	+	CCONJ
ejpam-2911	180	4	δ(1−	δ(1−	ADJ
ejpam-2911	180	5	βn	βn	NOUN
ejpam-2911	180	6	)	)	PUNCT
ejpam-2911	180	7	]	]	PUNCT
ejpam-2911	180	8	)	)	PUNCT
ejpam-2911	181	1	n	n	X
ejpam-2911	181	2	.	.	PUNCT
ejpam-2911	182	1	i.	i.	PROPN
ejpam-2911	182	2	yildirim	yildirim	PROPN
ejpam-2911	182	3	,	,	PUNCT
ejpam-2911	182	4	m.	m.	NOUN
ejpam-2911	182	5	abbas	abbas	PROPN
ejpam-2911	182	6	/	/	SYM
ejpam-2911	182	7	eur	eur	PROPN
ejpam-2911	182	8	.	.	PUNCT
ejpam-2911	183	1	j.	j.	PROPN
ejpam-2911	183	2	pure	pure	PROPN
ejpam-2911	183	3	appl	appl	PROPN
ejpam-2911	183	4	.	.	PROPN
ejpam-2911	183	5	math	math	PROPN
ejpam-2911	183	6	,	,	PUNCT
ejpam-2911	183	7	11	11	NUM
ejpam-2911	183	8	(	(	PUNCT
ejpam-2911	183	9	1	1	NUM
ejpam-2911	183	10	)	)	PUNCT
ejpam-2911	183	11	(	(	PUNCT
ejpam-2911	183	12	2018	2018	NUM
ejpam-2911	183	13	)	)	PUNCT
ejpam-2911	183	14	,	,	PUNCT
ejpam-2911	183	15	189	189	NUM
ejpam-2911	183	16	-	-	SYM
ejpam-2911	183	17	201	201	NUM
ejpam-2911	183	18	196	196	NUM
ejpam-2911	183	19	hence	hence	ADV
ejpam-2911	183	20	,	,	PUNCT
ejpam-2911	183	21	we	we	PRON
ejpam-2911	183	22	have	have	VERB
ejpam-2911	183	23	lim	lim	PROPN
ejpam-2911	183	24	n→∞	n→∞	PRON
ejpam-2911	183	25	an	an	DET
ejpam-2911	183	26	cn	cn	PROPN
ejpam-2911	183	27	=	=	PROPN
ejpam-2911	183	28	lim	lim	PROPN
ejpam-2911	183	29	n→∞	n→∞	X
ejpam-2911	184	1	(	(	PUNCT
ejpam-2911	184	2	αnδ	αnδ	PROPN
ejpam-2911	184	3	1−(1−αn)δ[βn+δ(1−βn	1−(1−αn)δ[βn+δ(1−βn	NUM
ejpam-2911	184	4	)	)	PUNCT
ejpam-2911	184	5	]	]	PUNCT
ejpam-2911	184	6	)	)	PUNCT
ejpam-2911	184	7	n	n	PRON
ejpam-2911	184	8	d(x0	d(x0	NOUN
ejpam-2911	184	9	,	,	PUNCT
ejpam-2911	184	10	p	p	NOUN
ejpam-2911	184	11	)	)	PUNCT
ejpam-2911	184	12	(	(	PUNCT
ejpam-2911	184	13	αn	αn	NOUN
ejpam-2911	184	14	1−(1−αn)δ	1−(1−αn)δ	NUM
ejpam-2911	184	15	)	)	PUNCT
ejpam-2911	184	16	n	n	PRON
ejpam-2911	184	17	d(x0	d(x0	NOUN
ejpam-2911	184	18	,	,	PUNCT
ejpam-2911	184	19	p	p	NOUN
ejpam-2911	184	20	)	)	PUNCT
ejpam-2911	184	21	=	=	SYM
ejpam-2911	184	22	0	0	NUM
ejpam-2911	184	23	,	,	PUNCT
ejpam-2911	184	24	and	and	CCONJ
ejpam-2911	184	25	lim	lim	PROPN
ejpam-2911	184	26	n→∞	n→∞	PRON
ejpam-2911	184	27	an	an	DET
ejpam-2911	184	28	bn	bn	NOUN
ejpam-2911	184	29	=	=	SYM
ejpam-2911	184	30	lim	lim	PROPN
ejpam-2911	184	31	n→∞	n→∞	X
ejpam-2911	184	32	(	(	PUNCT
ejpam-2911	184	33	αnδ	αnδ	PROPN
ejpam-2911	184	34	1−(1−αn)δ[βn+δ(1−βn	1−(1−αn)δ[βn+δ(1−βn	NUM
ejpam-2911	184	35	)	)	PUNCT
ejpam-2911	184	36	]	]	PUNCT
ejpam-2911	184	37	)	)	PUNCT
ejpam-2911	184	38	n	n	PRON
ejpam-2911	184	39	d(x0	d(x0	NOUN
ejpam-2911	184	40	,	,	PUNCT
ejpam-2911	184	41	p	p	NOUN
ejpam-2911	184	42	)	)	PUNCT
ejpam-2911	184	43	(	(	PUNCT
ejpam-2911	184	44	αn	αn	NOUN
ejpam-2911	184	45	1−(1−αn)δ[βn+δ(1−βn	1−(1−αn)δ[βn+δ(1−βn	NUM
ejpam-2911	184	46	)	)	PUNCT
ejpam-2911	184	47	]	]	PUNCT
ejpam-2911	184	48	)	)	PUNCT
ejpam-2911	184	49	n	n	PRON
ejpam-2911	184	50	d(x0	d(x0	NOUN
ejpam-2911	184	51	,	,	PUNCT
ejpam-2911	184	52	p	p	NOUN
ejpam-2911	184	53	)	)	PUNCT
ejpam-2911	184	54	=	=	SYM
ejpam-2911	185	1	0	0	X
ejpam-2911	185	2	.	.	PUNCT
ejpam-2911	186	1	we	we	PRON
ejpam-2911	186	2	now	now	ADV
ejpam-2911	186	3	support	support	VERB
ejpam-2911	186	4	our	our	PRON
ejpam-2911	186	5	above	above	ADJ
ejpam-2911	186	6	analytical	analytical	ADJ
ejpam-2911	186	7	proof	proof	NOUN
ejpam-2911	186	8	by	by	ADP
ejpam-2911	186	9	a	a	DET
ejpam-2911	186	10	numerical	numerical	ADJ
ejpam-2911	186	11	example	example	NOUN
ejpam-2911	186	12	using	use	VERB
ejpam-2911	186	13	matlab	matlab	PROPN
ejpam-2911	186	14	.	.	PUNCT
ejpam-2911	186	15	example	example	NOUN
ejpam-2911	187	1	1	1	NUM
ejpam-2911	187	2	.	.	PUNCT
ejpam-2911	187	3	let	let	VERB
ejpam-2911	187	4	e	e	NOUN
ejpam-2911	187	5	=	=	PUNCT
ejpam-2911	188	1	[	[	X
ejpam-2911	188	2	0	0	NUM
ejpam-2911	188	3	,	,	PUNCT
ejpam-2911	188	4	1	1	NUM
ejpam-2911	188	5	]	]	PUNCT
ejpam-2911	188	6	and	and	CCONJ
ejpam-2911	188	7	t	t	NOUN
ejpam-2911	188	8	:	:	PUNCT
ejpam-2911	188	9	e	e	X
ejpam-2911	188	10	→	→	PUNCT
ejpam-2911	188	11	e	e	PROPN
ejpam-2911	188	12	a	a	DET
ejpam-2911	188	13	mapping	mapping	NOUN
ejpam-2911	188	14	defined	define	VERB
ejpam-2911	188	15	by	by	ADP
ejpam-2911	188	16	tx	tx	PROPN
ejpam-2911	188	17	=	=	PUNCT
ejpam-2911	188	18	x	x	SYM
ejpam-2911	188	19	2	2	X
ejpam-2911	188	20	.	.	PUNCT
ejpam-2911	189	1	note	note	VERB
ejpam-2911	189	2	that	that	SCONJ
ejpam-2911	189	3	t	t	PROPN
ejpam-2911	189	4	is	be	AUX
ejpam-2911	189	5	a	a	DET
ejpam-2911	189	6	contractive	contractive	ADJ
ejpam-2911	189	7	type	type	NOUN
ejpam-2911	189	8	mapping.choose	mapping.choose	PRON
ejpam-2911	189	9	αn	αn	NOUN
ejpam-2911	189	10	=	=	NOUN
ejpam-2911	189	11	1	1	NUM
ejpam-2911	189	12	−	−	NUM
ejpam-2911	189	13	1	1	NUM
ejpam-2911	189	14	n	n	NOUN
ejpam-2911	189	15	and	and	CCONJ
ejpam-2911	189	16	βn	βn	VERB
ejpam-2911	190	1	=	=	SYM
ejpam-2911	190	2	1	1	NUM
ejpam-2911	190	3	−	−	NUM
ejpam-2911	190	4	1	1	NUM
ejpam-2911	190	5	n	n	NOUN
ejpam-2911	190	6	,	,	PUNCT
ejpam-2911	190	7	n	n	CCONJ
ejpam-2911	190	8	≥	≥	NOUN
ejpam-2911	190	9	2	2	NUM
ejpam-2911	190	10	and	and	CCONJ
ejpam-2911	190	11	for	for	ADP
ejpam-2911	190	12	n	n	NOUN
ejpam-2911	190	13	=	=	SYM
ejpam-2911	190	14	1	1	NUM
ejpam-2911	190	15	,	,	PUNCT
ejpam-2911	190	16	αn	αn	NOUN
ejpam-2911	190	17	=	=	SYM
ejpam-2911	190	18	βn	βn	NOUN
ejpam-2911	190	19	=	=	SYM
ejpam-2911	190	20	0	0	PROPN
ejpam-2911	190	21	.	.	PUNCT
ejpam-2911	191	1	the	the	DET
ejpam-2911	191	2	comparison	comparison	NOUN
ejpam-2911	191	3	of	of	ADP
ejpam-2911	191	4	the	the	DET
ejpam-2911	191	5	convergences	convergence	NOUN
ejpam-2911	191	6	of	of	ADP
ejpam-2911	191	7	the	the	DET
ejpam-2911	191	8	implicit	implicit	ADJ
ejpam-2911	191	9	s	s	NOUN
ejpam-2911	191	10	-	-	PUNCT
ejpam-2911	191	11	iteration	iteration	NOUN
ejpam-2911	191	12	(	(	PUNCT
ejpam-2911	191	13	5	5	NUM
ejpam-2911	191	14	)	)	PUNCT
ejpam-2911	191	15	,	,	PUNCT
ejpam-2911	191	16	implicit	implicit	ADJ
ejpam-2911	191	17	ishikawa	ishikawa	NOUN
ejpam-2911	191	18	type	type	NOUN
ejpam-2911	191	19	(	(	PUNCT
ejpam-2911	191	20	6	6	NUM
ejpam-2911	191	21	)	)	PUNCT
ejpam-2911	191	22	and	and	CCONJ
ejpam-2911	191	23	implicit	implicit	ADJ
ejpam-2911	191	24	mann	mann	NOUN
ejpam-2911	191	25	type	type	NOUN
ejpam-2911	191	26	iterations	iteration	NOUN
ejpam-2911	191	27	(	(	PUNCT
ejpam-2911	191	28	7	7	NUM
ejpam-2911	191	29	)	)	PUNCT
ejpam-2911	191	30	to	to	ADP
ejpam-2911	191	31	the	the	DET
ejpam-2911	191	32	fixed	fixed	ADJ
ejpam-2911	191	33	point	point	NOUN
ejpam-2911	191	34	p	p	PROPN
ejpam-2911	191	35	=	=	SYM
ejpam-2911	191	36	0	0	NUM
ejpam-2911	191	37	are	be	AUX
ejpam-2911	191	38	given	give	VERB
ejpam-2911	191	39	in	in	ADP
ejpam-2911	191	40	table	table	NOUN
ejpam-2911	191	41	with	with	ADP
ejpam-2911	191	42	the	the	DET
ejpam-2911	191	43	initial	initial	ADJ
ejpam-2911	191	44	value	value	NOUN
ejpam-2911	191	45	x1	x1	NOUN
ejpam-2911	192	1	=	=	NOUN
ejpam-2911	192	2	1	1	X
ejpam-2911	192	3	.	.	PUNCT
ejpam-2911	193	1	the	the	DET
ejpam-2911	193	2	following	follow	VERB
ejpam-2911	193	3	table	table	NOUN
ejpam-2911	193	4	presents	present	VERB
ejpam-2911	193	5	a	a	DET
ejpam-2911	193	6	comparison	comparison	NOUN
ejpam-2911	193	7	of	of	ADP
ejpam-2911	193	8	rate	rate	NOUN
ejpam-2911	193	9	of	of	ADP
ejpam-2911	193	10	convergence	convergence	NOUN
ejpam-2911	193	11	of	of	ADP
ejpam-2911	193	12	the	the	DET
ejpam-2911	193	13	implicit	implicit	ADJ
ejpam-2911	193	14	siteration	siteration	NOUN
ejpam-2911	193	15	process	process	NOUN
ejpam-2911	193	16	with	with	ADP
ejpam-2911	193	17	implicit	implicit	ADJ
ejpam-2911	193	18	ishikawa	ishikawa	NOUN
ejpam-2911	193	19	type	type	NOUN
ejpam-2911	193	20	and	and	CCONJ
ejpam-2911	193	21	implicit	implicit	ADJ
ejpam-2911	193	22	mann	mann	NOUN
ejpam-2911	193	23	type	type	NOUN
ejpam-2911	193	24	iteration	iteration	NOUN
ejpam-2911	193	25	processes	process	NOUN
ejpam-2911	193	26	for	for	ADP
ejpam-2911	193	27	the	the	DET
ejpam-2911	193	28	mapping	mapping	NOUN
ejpam-2911	193	29	given	give	VERB
ejpam-2911	193	30	in	in	ADP
ejpam-2911	193	31	example	example	NOUN
ejpam-2911	193	32	1	1	NUM
ejpam-2911	193	33	.	.	PUNCT
ejpam-2911	194	1	n	n	PROPN
ejpam-2911	194	2	imi	imi	PROPN
ejpam-2911	194	3	iii	iii	PROPN
ejpam-2911	194	4	isi	isi	PROPN
ejpam-2911	194	5	2	2	NUM
ejpam-2911	194	6	0.666666666666667	0.666666666666667	NUM
ejpam-2911	194	7	0.615384615384615	0.615384615384615	NUM
ejpam-2911	194	8	0.307692307692308	0.307692307692308	NUM
ejpam-2911	194	9	5	5	NUM
ejpam-2911	194	10	0.406349206349206	0.406349206349206	NUM
ejpam-2911	194	11	0.352704628530670	0.352704628530670	NUM
ejpam-2911	194	12	0.022044039283167	0.022044039283167	NUM
ejpam-2911	194	13	7	7	NUM
ejpam-2911	194	14	0.340992340992341	0.340992340992341	NUM
ejpam-2911	194	15	0.292145335107371	0.292145335107371	NUM
ejpam-2911	194	16	0.004564770861053	0.004564770861053	NUM
ejpam-2911	194	17	10	10	NUM
ejpam-2911	194	18	0.283773192751521	0.283773192751521	NUM
ejpam-2911	194	19	0.240691952056443	0.240691952056443	NUM
ejpam-2911	194	20	0.000470101468860	0.000470101468860	NUM
ejpam-2911	194	21	13	13	NUM
ejpam-2911	194	22	0.248169351176485	0.248169351176485	NUM
ejpam-2911	194	23	0.209336831746067	0.209336831746067	NUM
ejpam-2911	194	24	0.000051107624938	0.000051107624938	NUM
ejpam-2911	194	25	16	16	NUM
ejpam-2911	194	26	0.223294138742407	0.223294138742407	NUM
ejpam-2911	194	27	0.187699995568689	0.187699995568689	NUM
ejpam-2911	194	28	0.000005728149279	0.000005728149279	NUM
ejpam-2911	194	29	20	20	NUM
ejpam-2911	194	30	0.199408653447441	0.199408653447441	NUM
ejpam-2911	194	31	0.167113839554526	0.167113839554526	NUM
ejpam-2911	194	32	0.000000318744353	0.000000318744353	NUM
ejpam-2911	195	1	25	25	NUM
ejpam-2911	195	2	0.178133771931084	0.178133771931084	NUM
ejpam-2911	195	3	0.148920204678483	0.148920204678483	NUM
ejpam-2911	195	4	0.000000008876336	0.000000008876336	NUM
ejpam-2911	195	5	30	30	NUM
ejpam-2911	195	6	0.162477710197415	0.162477710197415	NUM
ejpam-2911	195	7	0.135609685643003	0.135609685643003	NUM
ejpam-2911	195	8	0.000000000252593	0.000000000252593	NUM
ejpam-2911	195	9	35	35	NUM
ejpam-2911	195	10	0.150335628473559	0.150335628473559	NUM
ejpam-2911	195	11	0.125328510781087	0.125328510781087	NUM
ejpam-2911	195	12	0.000000000007295	0.000000000007295	NUM
ejpam-2911	195	13	40	40	NUM
ejpam-2911	195	14	0.140563343828096	0.140563343828096	NUM
ejpam-2911	195	15	0.117078595772533	0.117078595772533	NUM
ejpam-2911	195	16	0.000000000000213	0.000000000000213	NUM
ejpam-2911	195	17	43	43	NUM
ejpam-2911	195	18	0.135541774913220	0.135541774913220	NUM
ejpam-2911	195	19	0.112847389889567	0.112847389889567	NUM
ejpam-2911	195	20	0.000000000000026	0.000000000000026	NUM
ejpam-2911	195	21	46	46	NUM
ejpam-2911	195	22	0.131022580805197	0.131022580805197	NUM
ejpam-2911	195	23	0.109043978938918	0.109043978938918	NUM
ejpam-2911	195	24	0.000000000000003	0.000000000000003	NUM
ejpam-2911	195	25	50	50	NUM
ejpam-2911	195	26	0.125645129018549	0.125645129018549	NUM
ejpam-2911	195	27	0.104523598655989	0.104523598655989	NUM
ejpam-2911	195	28	0.000000000000000	0.000000000000000	NUM
ejpam-2911	195	29	remark	remark	NOUN
ejpam-2911	195	30	2	2	NUM
ejpam-2911	195	31	.	.	PUNCT
ejpam-2911	195	32	from	from	ADP
ejpam-2911	195	33	the	the	DET
ejpam-2911	195	34	example	example	NOUN
ejpam-2911	195	35	above	above	ADV
ejpam-2911	195	36	,	,	PUNCT
ejpam-2911	195	37	we	we	PRON
ejpam-2911	195	38	see	see	VERB
ejpam-2911	195	39	that	that	SCONJ
ejpam-2911	195	40	our	our	PRON
ejpam-2911	195	41	iteration	iteration	NOUN
ejpam-2911	195	42	isi	isi	PROPN
ejpam-2911	195	43	(	(	PUNCT
ejpam-2911	195	44	implicit	implicit	ADJ
ejpam-2911	195	45	s	s	NOUN
ejpam-2911	195	46	-	-	NOUN
ejpam-2911	195	47	iteration	iteration	NOUN
ejpam-2911	195	48	)	)	PUNCT
ejpam-2911	195	49	is	be	AUX
ejpam-2911	195	50	faster	fast	ADJ
ejpam-2911	195	51	than	than	ADP
ejpam-2911	195	52	the	the	DET
ejpam-2911	195	53	iii	iii	NOUN
ejpam-2911	195	54	(	(	PUNCT
ejpam-2911	195	55	implicit	implicit	ADJ
ejpam-2911	195	56	ishikawa	ishikawa	PROPN
ejpam-2911	195	57	iteration	iteration	NOUN
ejpam-2911	195	58	)	)	PUNCT
ejpam-2911	195	59	and	and	CCONJ
ejpam-2911	195	60	imi	imi	PROPN
ejpam-2911	195	61	(	(	PUNCT
ejpam-2911	195	62	implicit	implicit	ADJ
ejpam-2911	195	63	mann	mann	PROPN
ejpam-2911	195	64	iteration	iteration	NOUN
ejpam-2911	195	65	)	)	PUNCT
ejpam-2911	195	66	under	under	ADP
ejpam-2911	195	67	the	the	DET
ejpam-2911	195	68	same	same	ADJ
ejpam-2911	195	69	control	control	NOUN
ejpam-2911	195	70	conditions	condition	NOUN
ejpam-2911	195	71	.	.	PUNCT
ejpam-2911	196	1	i.	i.	PROPN
ejpam-2911	196	2	yildirim	yildirim	PROPN
ejpam-2911	196	3	,	,	PUNCT
ejpam-2911	196	4	m.	m.	NOUN
ejpam-2911	196	5	abbas	abbas	PROPN
ejpam-2911	196	6	/	/	SYM
ejpam-2911	196	7	eur	eur	PROPN
ejpam-2911	196	8	.	.	PUNCT
ejpam-2911	197	1	j.	j.	PROPN
ejpam-2911	197	2	pure	pure	PROPN
ejpam-2911	197	3	appl	appl	PROPN
ejpam-2911	197	4	.	.	PROPN
ejpam-2911	197	5	math	math	PROPN
ejpam-2911	197	6	,	,	PUNCT
ejpam-2911	197	7	11	11	NUM
ejpam-2911	197	8	(	(	PUNCT
ejpam-2911	197	9	1	1	NUM
ejpam-2911	197	10	)	)	PUNCT
ejpam-2911	197	11	(	(	PUNCT
ejpam-2911	197	12	2018	2018	NUM
ejpam-2911	197	13	)	)	PUNCT
ejpam-2911	197	14	,	,	PUNCT
ejpam-2911	197	15	189	189	NUM
ejpam-2911	197	16	-	-	SYM
ejpam-2911	197	17	201	201	NUM
ejpam-2911	197	18	197	197	NUM
ejpam-2911	197	19	the	the	DET
ejpam-2911	197	20	following	follow	VERB
ejpam-2911	197	21	figure	figure	NOUN
ejpam-2911	197	22	is	be	AUX
ejpam-2911	197	23	a	a	DET
ejpam-2911	197	24	graphical	graphical	ADJ
ejpam-2911	197	25	presentation	presentation	NOUN
ejpam-2911	197	26	of	of	ADP
ejpam-2911	197	27	the	the	DET
ejpam-2911	197	28	above	above	ADJ
ejpam-2911	197	29	results	result	NOUN
ejpam-2911	197	30	.	.	PUNCT
ejpam-2911	198	1	this	this	DET
ejpam-2911	198	2	figure	figure	NOUN
ejpam-2911	198	3	confirm	confirm	VERB
ejpam-2911	198	4	that	that	SCONJ
ejpam-2911	198	5	the	the	DET
ejpam-2911	198	6	iteration	iteration	NOUN
ejpam-2911	198	7	(	(	PUNCT
ejpam-2911	198	8	5	5	NUM
ejpam-2911	198	9	)	)	PUNCT
ejpam-2911	198	10	is	be	AUX
ejpam-2911	198	11	converges	converge	NOUN
ejpam-2911	198	12	faster	fast	ADV
ejpam-2911	198	13	than	than	ADP
ejpam-2911	198	14	the	the	DET
ejpam-2911	198	15	iteration	iteration	NOUN
ejpam-2911	198	16	methods	method	NOUN
ejpam-2911	198	17	mentioned	mention	VERB
ejpam-2911	198	18	above	above	ADV
ejpam-2911	198	19	.	.	PUNCT
ejpam-2911	199	1	finally	finally	ADV
ejpam-2911	199	2	,	,	PUNCT
ejpam-2911	199	3	we	we	PRON
ejpam-2911	199	4	present	present	VERB
ejpam-2911	199	5	a	a	DET
ejpam-2911	199	6	data	data	NOUN
ejpam-2911	199	7	dependence	dependence	NOUN
ejpam-2911	199	8	result	result	NOUN
ejpam-2911	199	9	for	for	ADP
ejpam-2911	199	10	contractive	contractive	ADJ
ejpam-2911	199	11	type	type	NOUN
ejpam-2911	199	12	mapping	mapping	NOUN
ejpam-2911	199	13	t	t	NOUN
ejpam-2911	199	14	using	use	VERB
ejpam-2911	199	15	implicit	implicit	ADJ
ejpam-2911	199	16	s	s	NOUN
ejpam-2911	199	17	-	-	PUNCT
ejpam-2911	199	18	iteration	iteration	NOUN
ejpam-2911	199	19	process	process	NOUN
ejpam-2911	199	20	.	.	PUNCT
ejpam-2911	200	1	theorem	theorem	NOUN
ejpam-2911	200	2	3	3	X
ejpam-2911	200	3	.	.	PUNCT
ejpam-2911	201	1	let	let	VERB
ejpam-2911	201	2	e	e	PRON
ejpam-2911	201	3	be	be	AUX
ejpam-2911	201	4	a	a	DET
ejpam-2911	201	5	nonempty	nonempty	ADV
ejpam-2911	201	6	closed	close	VERB
ejpam-2911	201	7	convex	convex	NOUN
ejpam-2911	201	8	subset	subset	NOUN
ejpam-2911	201	9	of	of	ADP
ejpam-2911	201	10	w−hyperbolic	w−hyperbolic	PROPN
ejpam-2911	201	11	space	space	NOUN
ejpam-2911	201	12	x	x	PROPN
ejpam-2911	201	13	,	,	PUNCT
ejpam-2911	201	14	t	t	X
ejpam-2911	201	15	:	:	PUNCT
ejpam-2911	201	16	e	e	X
ejpam-2911	201	17	→	→	PUNCT
ejpam-2911	201	18	e	e	PROPN
ejpam-2911	201	19	a	a	DET
ejpam-2911	201	20	contractive	contractive	ADJ
ejpam-2911	201	21	type	type	NOUN
ejpam-2911	201	22	mapping	mapping	NOUN
ejpam-2911	201	23	,	,	PUNCT
ejpam-2911	201	24	s	s	VERB
ejpam-2911	201	25	an	an	DET
ejpam-2911	201	26	approximate	approximate	ADJ
ejpam-2911	201	27	operator	operator	NOUN
ejpam-2911	201	28	of	of	ADP
ejpam-2911	201	29	t	t	PROPN
ejpam-2911	201	30	and	and	CCONJ
ejpam-2911	201	31	{	{	PUNCT
ejpam-2911	201	32	xn	xn	NOUN
ejpam-2911	201	33	}	}	PUNCT
ejpam-2911	201	34	a	a	DET
ejpam-2911	201	35	sequence	sequence	NOUN
ejpam-2911	201	36	defined	define	VERB
ejpam-2911	201	37	in	in	ADP
ejpam-2911	201	38	(	(	PUNCT
ejpam-2911	201	39	5	5	NUM
ejpam-2911	201	40	)	)	PUNCT
ejpam-2911	201	41	.	.	PUNCT
ejpam-2911	202	1	for	for	ADP
ejpam-2911	202	2	contractive	contractive	ADJ
ejpam-2911	202	3	type	type	NOUN
ejpam-2911	202	4	mapping	mapping	NOUN
ejpam-2911	202	5	t	t	NOUN
ejpam-2911	202	6	,	,	PUNCT
ejpam-2911	202	7	define	define	VERB
ejpam-2911	202	8	an	an	DET
ejpam-2911	202	9	iterative	iterative	NOUN
ejpam-2911	202	10	sequence	sequence	NOUN
ejpam-2911	202	11	{	{	PUNCT
ejpam-2911	202	12	un	un	PROPN
ejpam-2911	202	13	}	}	PUNCT
ejpam-2911	202	14	as	as	SCONJ
ejpam-2911	202	15	follows	follow	VERB
ejpam-2911	202	16	:	:	PUNCT
ejpam-2911	202	17	un	un	PROPN
ejpam-2911	202	18	=	=	PROPN
ejpam-2911	202	19	w	w	PROPN
ejpam-2911	202	20	(	(	PUNCT
ejpam-2911	202	21	sun−1	sun−1	PROPN
ejpam-2911	202	22	,	,	PUNCT
ejpam-2911	202	23	t	t	PROPN
ejpam-2911	202	24	vn	vn	PROPN
ejpam-2911	202	25	,	,	PUNCT
ejpam-2911	202	26	αn	αn	NOUN
ejpam-2911	202	27	)	)	PUNCT
ejpam-2911	202	28	(	(	PUNCT
ejpam-2911	202	29	24	24	NUM
ejpam-2911	202	30	)	)	PUNCT
ejpam-2911	202	31	vn	vn	NOUN
ejpam-2911	202	32	=	=	SYM
ejpam-2911	202	33	w	w	PROPN
ejpam-2911	202	34	(	(	PUNCT
ejpam-2911	202	35	un	un	PROPN
ejpam-2911	202	36	,	,	PUNCT
ejpam-2911	202	37	sun	sun	NOUN
ejpam-2911	202	38	,	,	PUNCT
ejpam-2911	202	39	βn	βn	NOUN
ejpam-2911	202	40	)	)	PUNCT
ejpam-2911	202	41	,	,	PUNCT
ejpam-2911	202	42	n	n	PROPN
ejpam-2911	202	43	∈	∈	PROPN
ejpam-2911	202	44	n	n	CCONJ
ejpam-2911	202	45	,	,	PUNCT
ejpam-2911	202	46	where	where	SCONJ
ejpam-2911	202	47	{	{	PUNCT
ejpam-2911	202	48	an	an	NOUN
ejpam-2911	202	49	}	}	PUNCT
ejpam-2911	202	50	and	and	CCONJ
ejpam-2911	202	51	{	{	PUNCT
ejpam-2911	202	52	βn	βn	VERB
ejpam-2911	202	53	}	}	PUNCT
ejpam-2911	202	54	are	be	AUX
ejpam-2911	202	55	real	real	ADJ
ejpam-2911	202	56	sequences	sequence	NOUN
ejpam-2911	202	57	in	in	ADP
ejpam-2911	202	58	[	[	X
ejpam-2911	202	59	0	0	NUM
ejpam-2911	202	60	,	,	PUNCT
ejpam-2911	202	61	1	1	NUM
ejpam-2911	202	62	]	]	PUNCT
ejpam-2911	202	63	satisfying	satisfy	VERB
ejpam-2911	202	64	an	an	DET
ejpam-2911	202	65	<	<	X
ejpam-2911	202	66	1	1	NUM
ejpam-2911	202	67	,	,	PUNCT
ejpam-2911	202	68	n	n	PRON
ejpam-2911	202	69	∈	∈	PROPN
ejpam-2911	202	70	n	n	CCONJ
ejpam-2911	202	71	,	,	PUNCT
ejpam-2911	202	72	and	and	CCONJ
ejpam-2911	202	73	∑	∑	PROPN
ejpam-2911	202	74	(	(	PUNCT
ejpam-2911	202	75	1−	1−	NUM
ejpam-2911	202	76	αn	αn	NOUN
ejpam-2911	202	77	)	)	PUNCT
ejpam-2911	202	78	=	=	SYM
ejpam-2911	202	79	∞.	∞.	PROPN
ejpam-2911	202	80	if	if	SCONJ
ejpam-2911	202	81	tp	tp	VERB
ejpam-2911	202	82	=	=	PUNCT
ejpam-2911	202	83	p	p	PROPN
ejpam-2911	202	84	and	and	CCONJ
ejpam-2911	202	85	sq	sq	NOUN
ejpam-2911	202	86	=	=	SYM
ejpam-2911	202	87	q	q	NOUN
ejpam-2911	202	88	such	such	ADJ
ejpam-2911	202	89	that	that	DET
ejpam-2911	202	90	un	un	PROPN
ejpam-2911	202	91	→	→	X
ejpam-2911	202	92	q	q	X
ejpam-2911	202	93	as	as	ADP
ejpam-2911	202	94	n→∞	n→∞	NUM
ejpam-2911	202	95	,	,	PUNCT
ejpam-2911	202	96	then	then	ADV
ejpam-2911	202	97	we	we	PRON
ejpam-2911	202	98	have	have	VERB
ejpam-2911	202	99	,	,	PUNCT
ejpam-2911	203	1	d	d	X
ejpam-2911	203	2	(	(	PUNCT
ejpam-2911	203	3	p	p	X
ejpam-2911	203	4	,	,	PUNCT
ejpam-2911	203	5	q	q	NOUN
ejpam-2911	203	6	)	)	PUNCT
ejpam-2911	203	7	≤	≤	NUM
ejpam-2911	203	8	2ε	2ε	NOUN
ejpam-2911	203	9	(	(	PUNCT
ejpam-2911	203	10	1−	1−	NUM
ejpam-2911	203	11	δ)2	δ)2	PROPN
ejpam-2911	203	12	,	,	PUNCT
ejpam-2911	203	13	ε	ε	PROPN
ejpam-2911	203	14	>	>	X
ejpam-2911	203	15	0	0	PUNCT
ejpam-2911	203	16	is	be	AUX
ejpam-2911	203	17	some	some	DET
ejpam-2911	203	18	appropriate	appropriate	ADJ
ejpam-2911	203	19	number	number	NOUN
ejpam-2911	203	20	.	.	PUNCT
ejpam-2911	204	1	proof	proof	NOUN
ejpam-2911	204	2	.	.	PUNCT
ejpam-2911	205	1	by	by	ADP
ejpam-2911	205	2	(	(	PUNCT
ejpam-2911	205	3	4	4	NUM
ejpam-2911	205	4	)	)	PUNCT
ejpam-2911	205	5	,	,	PUNCT
ejpam-2911	205	6	(	(	PUNCT
ejpam-2911	205	7	5	5	NUM
ejpam-2911	205	8	)	)	PUNCT
ejpam-2911	205	9	and	and	CCONJ
ejpam-2911	205	10	(	(	PUNCT
ejpam-2911	205	11	24	24	NUM
ejpam-2911	205	12	)	)	PUNCT
ejpam-2911	205	13	,	,	PUNCT
ejpam-2911	205	14	we	we	PRON
ejpam-2911	205	15	have	have	VERB
ejpam-2911	205	16	d(yn	d(yn	NOUN
ejpam-2911	205	17	,	,	PUNCT
ejpam-2911	205	18	vn	vn	NOUN
ejpam-2911	205	19	)	)	PUNCT
ejpam-2911	206	1	=	=	SYM
ejpam-2911	206	2	d	d	PROPN
ejpam-2911	206	3	(	(	PUNCT
ejpam-2911	206	4	w	w	PROPN
ejpam-2911	206	5	(	(	PUNCT
ejpam-2911	206	6	xn	xn	PROPN
ejpam-2911	206	7	,	,	PUNCT
ejpam-2911	206	8	txn	txn	NOUN
ejpam-2911	206	9	,	,	PUNCT
ejpam-2911	206	10	βn	βn	NOUN
ejpam-2911	206	11	)	)	PUNCT
ejpam-2911	206	12	,	,	PUNCT
ejpam-2911	206	13	w	w	PROPN
ejpam-2911	206	14	(	(	PUNCT
ejpam-2911	206	15	un	un	PROPN
ejpam-2911	206	16	,	,	PUNCT
ejpam-2911	206	17	sun	sun	NOUN
ejpam-2911	206	18	,	,	PUNCT
ejpam-2911	206	19	βn	βn	NOUN
ejpam-2911	206	20	)	)	PUNCT
ejpam-2911	206	21	)	)	PUNCT
ejpam-2911	206	22	(	(	PUNCT
ejpam-2911	206	23	25	25	NUM
ejpam-2911	206	24	)	)	PUNCT
ejpam-2911	206	25	≤	≤	NUM
ejpam-2911	206	26	βnd	βnd	NOUN
ejpam-2911	206	27	(	(	PUNCT
ejpam-2911	206	28	xn	xn	PROPN
ejpam-2911	206	29	,	,	PUNCT
ejpam-2911	206	30	un	un	PROPN
ejpam-2911	206	31	)	)	PUNCT
ejpam-2911	206	32	+	+	CCONJ
ejpam-2911	206	33	(	(	PUNCT
ejpam-2911	206	34	1−	1−	NUM
ejpam-2911	206	35	βn)d	βn)d	PROPN
ejpam-2911	206	36	(	(	PUNCT
ejpam-2911	206	37	txn	txn	NOUN
ejpam-2911	206	38	,	,	PUNCT
ejpam-2911	206	39	sun	sun	NOUN
ejpam-2911	206	40	)	)	PUNCT
ejpam-2911	206	41	≤	≤	NUM
ejpam-2911	206	42	βnd	βnd	NOUN
ejpam-2911	206	43	(	(	PUNCT
ejpam-2911	206	44	xn	xn	PROPN
ejpam-2911	206	45	,	,	PUNCT
ejpam-2911	206	46	un	un	PROPN
ejpam-2911	206	47	)	)	PUNCT
ejpam-2911	207	1	+	+	CCONJ
ejpam-2911	207	2	(	(	PUNCT
ejpam-2911	207	3	1−	1−	NUM
ejpam-2911	207	4	βn	βn	NOUN
ejpam-2911	207	5	)	)	PUNCT
ejpam-2911	208	1	[	[	X
ejpam-2911	208	2	d	d	X
ejpam-2911	208	3	(	(	PUNCT
ejpam-2911	208	4	txn	txn	NOUN
ejpam-2911	208	5	,	,	PUNCT
ejpam-2911	208	6	sun	sun	NOUN
ejpam-2911	208	7	)	)	PUNCT
ejpam-2911	209	1	+	+	PROPN
ejpam-2911	209	2	d	d	X
ejpam-2911	209	3	(	(	PUNCT
ejpam-2911	209	4	tun	tun	NOUN
ejpam-2911	209	5	,	,	PUNCT
ejpam-2911	209	6	sun	sun	NOUN
ejpam-2911	209	7	)	)	PUNCT
ejpam-2911	209	8	]	]	PUNCT
ejpam-2911	209	9	≤	≤	NUM
ejpam-2911	209	10	βnd	βnd	NOUN
ejpam-2911	209	11	(	(	PUNCT
ejpam-2911	209	12	xn	xn	PROPN
ejpam-2911	209	13	,	,	PUNCT
ejpam-2911	209	14	un	un	PROPN
ejpam-2911	209	15	)	)	PUNCT
ejpam-2911	210	1	+	+	CCONJ
ejpam-2911	210	2	(	(	PUNCT
ejpam-2911	210	3	1−	1−	NUM
ejpam-2911	210	4	βn	βn	NOUN
ejpam-2911	210	5	)	)	PUNCT
ejpam-2911	211	1	[	[	X
ejpam-2911	211	2	δd	δd	X
ejpam-2911	211	3	(	(	PUNCT
ejpam-2911	211	4	xn	xn	PROPN
ejpam-2911	211	5	,	,	PUNCT
ejpam-2911	211	6	un	un	PROPN
ejpam-2911	211	7	)	)	PUNCT
ejpam-2911	211	8	+	+	NUM
ejpam-2911	211	9	ϕ	ϕ	X
ejpam-2911	211	10	(	(	PUNCT
ejpam-2911	211	11	d	d	X
ejpam-2911	211	12	(	(	PUNCT
ejpam-2911	211	13	xn	xn	PROPN
ejpam-2911	211	14	,	,	PUNCT
ejpam-2911	211	15	txn	txn	NOUN
ejpam-2911	211	16	)	)	PUNCT
ejpam-2911	211	17	)	)	PUNCT
ejpam-2911	212	1	+	+	CCONJ
ejpam-2911	212	2	ε	ε	PROPN
ejpam-2911	212	3	]	]	PUNCT
ejpam-2911	212	4	i.	i.	PROPN
ejpam-2911	212	5	yildirim	yildirim	PROPN
ejpam-2911	212	6	,	,	PUNCT
ejpam-2911	212	7	m.	m.	NOUN
ejpam-2911	212	8	abbas	abbas	PROPN
ejpam-2911	212	9	/	/	SYM
ejpam-2911	212	10	eur	eur	PROPN
ejpam-2911	212	11	.	.	PUNCT
ejpam-2911	213	1	j.	j.	PROPN
ejpam-2911	213	2	pure	pure	PROPN
ejpam-2911	213	3	appl	appl	PROPN
ejpam-2911	213	4	.	.	PROPN
ejpam-2911	213	5	math	math	PROPN
ejpam-2911	213	6	,	,	PUNCT
ejpam-2911	213	7	11	11	NUM
ejpam-2911	213	8	(	(	PUNCT
ejpam-2911	213	9	1	1	NUM
ejpam-2911	213	10	)	)	PUNCT
ejpam-2911	213	11	(	(	PUNCT
ejpam-2911	213	12	2018	2018	NUM
ejpam-2911	213	13	)	)	PUNCT
ejpam-2911	213	14	,	,	PUNCT
ejpam-2911	213	15	189	189	NUM
ejpam-2911	213	16	-	-	SYM
ejpam-2911	213	17	201	201	NUM
ejpam-2911	213	18	198	198	NUM
ejpam-2911	213	19	=	=	PUNCT
ejpam-2911	214	1	[	[	X
ejpam-2911	214	2	βn	βn	X
ejpam-2911	214	3	+	+	CCONJ
ejpam-2911	214	4	(	(	PUNCT
ejpam-2911	214	5	1−	1−	NUM
ejpam-2911	214	6	βn)δ	βn)δ	PROPN
ejpam-2911	214	7	]	]	X
ejpam-2911	214	8	d	d	X
ejpam-2911	214	9	(	(	PUNCT
ejpam-2911	214	10	xn	xn	PROPN
ejpam-2911	214	11	,	,	PUNCT
ejpam-2911	214	12	un	un	PROPN
ejpam-2911	214	13	)	)	PUNCT
ejpam-2911	214	14	+	+	CCONJ
ejpam-2911	214	15	(	(	PUNCT
ejpam-2911	214	16	1−	1−	NUM
ejpam-2911	214	17	βn	βn	NOUN
ejpam-2911	214	18	)	)	PUNCT
ejpam-2911	215	1	[	[	X
ejpam-2911	215	2	ϕ	ϕ	X
ejpam-2911	215	3	(	(	PUNCT
ejpam-2911	215	4	d	d	X
ejpam-2911	215	5	(	(	PUNCT
ejpam-2911	215	6	xn	xn	PROPN
ejpam-2911	215	7	,	,	PUNCT
ejpam-2911	215	8	txn	txn	NOUN
ejpam-2911	215	9	)	)	PUNCT
ejpam-2911	215	10	)	)	PUNCT
ejpam-2911	216	1	+	+	CCONJ
ejpam-2911	217	1	ε	ε	X
ejpam-2911	217	2	]	]	X
ejpam-2911	217	3	and	and	CCONJ
ejpam-2911	217	4	d(xn	d(xn	PROPN
ejpam-2911	217	5	,	,	PUNCT
ejpam-2911	217	6	un	un	PROPN
ejpam-2911	217	7	)	)	PUNCT
ejpam-2911	217	8	=	=	SYM
ejpam-2911	218	1	d	d	PROPN
ejpam-2911	218	2	(	(	PUNCT
ejpam-2911	218	3	w	w	PROPN
ejpam-2911	218	4	(	(	PUNCT
ejpam-2911	218	5	txn−1	txn−1	PROPN
ejpam-2911	218	6	,	,	PUNCT
ejpam-2911	218	7	tyn	tyn	PROPN
ejpam-2911	218	8	,	,	PUNCT
ejpam-2911	218	9	αn	αn	NOUN
ejpam-2911	218	10	)	)	PUNCT
ejpam-2911	218	11	,	,	PUNCT
ejpam-2911	218	12	w	w	PROPN
ejpam-2911	218	13	(	(	PUNCT
ejpam-2911	218	14	sun−1	sun−1	PROPN
ejpam-2911	218	15	,	,	PUNCT
ejpam-2911	218	16	svn	svn	NOUN
ejpam-2911	218	17	,	,	PUNCT
ejpam-2911	218	18	αn	αn	NOUN
ejpam-2911	218	19	)	)	PUNCT
ejpam-2911	218	20	)	)	PUNCT
ejpam-2911	218	21	(	(	PUNCT
ejpam-2911	218	22	26	26	NUM
ejpam-2911	218	23	)	)	PUNCT
ejpam-2911	218	24	≤	≤	NOUN
ejpam-2911	218	25	αnd	αnd	NOUN
ejpam-2911	218	26	(	(	PUNCT
ejpam-2911	218	27	txn−1	txn−1	PROPN
ejpam-2911	218	28	,	,	PUNCT
ejpam-2911	218	29	sun−1	sun−1	PROPN
ejpam-2911	218	30	)	)	PUNCT
ejpam-2911	218	31	+	+	CCONJ
ejpam-2911	218	32	(	(	PUNCT
ejpam-2911	218	33	1−	1−	NUM
ejpam-2911	218	34	αn)d	αn)d	PROPN
ejpam-2911	218	35	(	(	PUNCT
ejpam-2911	218	36	tyn	tyn	PROPN
ejpam-2911	218	37	,	,	PUNCT
ejpam-2911	218	38	svn	svn	NOUN
ejpam-2911	218	39	)	)	PUNCT
ejpam-2911	218	40	≤	≤	NUM
ejpam-2911	218	41	αn	αn	NOUN
ejpam-2911	219	1	[	[	X
ejpam-2911	219	2	d	d	X
ejpam-2911	219	3	(	(	PUNCT
ejpam-2911	219	4	txn−1	txn−1	PROPN
ejpam-2911	219	5	,	,	PUNCT
ejpam-2911	219	6	tun−1	tun−1	PROPN
ejpam-2911	219	7	)	)	PUNCT
ejpam-2911	220	1	+	+	CCONJ
ejpam-2911	221	1	d	d	X
ejpam-2911	221	2	(	(	PUNCT
ejpam-2911	221	3	tun−1	tun−1	PROPN
ejpam-2911	221	4	,	,	PUNCT
ejpam-2911	221	5	sun−1	sun−1	PROPN
ejpam-2911	221	6	)	)	PUNCT
ejpam-2911	221	7	]	]	PUNCT
ejpam-2911	222	1	+	+	PROPN
ejpam-2911	222	2	(	(	PUNCT
ejpam-2911	222	3	1−	1−	NUM
ejpam-2911	222	4	αn	αn	NOUN
ejpam-2911	222	5	)	)	PUNCT
ejpam-2911	223	1	[	[	X
ejpam-2911	223	2	d	d	X
ejpam-2911	223	3	(	(	PUNCT
ejpam-2911	223	4	tyn	tyn	PROPN
ejpam-2911	223	5	,	,	PUNCT
ejpam-2911	223	6	t	t	PROPN
ejpam-2911	223	7	vn	vn	PROPN
ejpam-2911	223	8	)	)	PUNCT
ejpam-2911	224	1	+	+	CCONJ
ejpam-2911	224	2	d	d	X
ejpam-2911	224	3	(	(	PUNCT
ejpam-2911	224	4	tvn	tvn	PROPN
ejpam-2911	224	5	,	,	PUNCT
ejpam-2911	224	6	svn	svn	NOUN
ejpam-2911	224	7	)	)	PUNCT
ejpam-2911	224	8	]	]	PUNCT
ejpam-2911	225	1	≤	≤	NUM
ejpam-2911	225	2	αn	αn	NOUN
ejpam-2911	226	1	[	[	X
ejpam-2911	226	2	δd	δd	X
ejpam-2911	226	3	(	(	PUNCT
ejpam-2911	226	4	xn−1	xn−1	PROPN
ejpam-2911	226	5	,	,	PUNCT
ejpam-2911	226	6	un−1	un−1	PROPN
ejpam-2911	226	7	)	)	PUNCT
ejpam-2911	227	1	+	+	NUM
ejpam-2911	227	2	ϕ	ϕ	X
ejpam-2911	227	3	(	(	PUNCT
ejpam-2911	227	4	d	d	X
ejpam-2911	227	5	(	(	PUNCT
ejpam-2911	227	6	xn−1	xn−1	PROPN
ejpam-2911	227	7	,	,	PUNCT
ejpam-2911	227	8	txn−1	txn−1	PROPN
ejpam-2911	227	9	)	)	PUNCT
ejpam-2911	227	10	)	)	PUNCT
ejpam-2911	228	1	+	+	CCONJ
ejpam-2911	228	2	ε	ε	X
ejpam-2911	228	3	]	]	X
ejpam-2911	228	4	+	+	PROPN
ejpam-2911	228	5	(	(	PUNCT
ejpam-2911	228	6	1−	1−	NUM
ejpam-2911	228	7	αn	αn	NOUN
ejpam-2911	228	8	)	)	PUNCT
ejpam-2911	229	1	[	[	X
ejpam-2911	229	2	δd	δd	X
ejpam-2911	229	3	(	(	PUNCT
ejpam-2911	229	4	yn	yn	PROPN
ejpam-2911	229	5	,	,	PUNCT
ejpam-2911	229	6	vn	vn	PROPN
ejpam-2911	229	7	)	)	PUNCT
ejpam-2911	230	1	+	+	CCONJ
ejpam-2911	230	2	ϕ	ϕ	X
ejpam-2911	230	3	(	(	PUNCT
ejpam-2911	230	4	d	d	X
ejpam-2911	230	5	(	(	PUNCT
ejpam-2911	230	6	yn	yn	PROPN
ejpam-2911	230	7	,	,	PUNCT
ejpam-2911	230	8	tyn	tyn	PROPN
ejpam-2911	230	9	)	)	PUNCT
ejpam-2911	230	10	)	)	PUNCT
ejpam-2911	231	1	+	+	CCONJ
ejpam-2911	231	2	ε	ε	X
ejpam-2911	231	3	]	]	X
ejpam-2911	231	4	=	=	SYM
ejpam-2911	231	5	αnδd	αnδd	NOUN
ejpam-2911	231	6	(	(	PUNCT
ejpam-2911	231	7	xn−1	xn−1	PROPN
ejpam-2911	231	8	,	,	PUNCT
ejpam-2911	231	9	un−1	un−1	PROPN
ejpam-2911	231	10	)	)	PUNCT
ejpam-2911	231	11	+	+	NUM
ejpam-2911	232	1	αnϕ	αnϕ	INTJ
ejpam-2911	233	1	(	(	PUNCT
ejpam-2911	233	2	d	d	X
ejpam-2911	233	3	(	(	PUNCT
ejpam-2911	233	4	xn−1	xn−1	PROPN
ejpam-2911	233	5	,	,	PUNCT
ejpam-2911	233	6	txn−1	txn−1	PROPN
ejpam-2911	233	7	)	)	PUNCT
ejpam-2911	233	8	)	)	PUNCT
ejpam-2911	234	1	+	+	CCONJ
ejpam-2911	234	2	ε	ε	PROPN
ejpam-2911	234	3	+	+	PROPN
ejpam-2911	234	4	(	(	PUNCT
ejpam-2911	234	5	1−	1−	NUM
ejpam-2911	234	6	αn)δd	αn)δd	PROPN
ejpam-2911	234	7	(	(	PUNCT
ejpam-2911	234	8	yn	yn	PROPN
ejpam-2911	234	9	,	,	PUNCT
ejpam-2911	234	10	vn	vn	PROPN
ejpam-2911	234	11	)	)	PUNCT
ejpam-2911	235	1	+	+	CCONJ
ejpam-2911	235	2	(	(	PUNCT
ejpam-2911	235	3	1−	1−	NUM
ejpam-2911	235	4	αn)ϕ	αn)ϕ	PROPN
ejpam-2911	235	5	(	(	PUNCT
ejpam-2911	235	6	d	d	PROPN
ejpam-2911	235	7	(	(	PUNCT
ejpam-2911	235	8	yn	yn	PROPN
ejpam-2911	235	9	,	,	PUNCT
ejpam-2911	235	10	tyn	tyn	PROPN
ejpam-2911	235	11	)	)	PUNCT
ejpam-2911	235	12	)	)	PUNCT
ejpam-2911	235	13	.	.	PUNCT
ejpam-2911	236	1	substituting	substitute	VERB
ejpam-2911	236	2	(	(	PUNCT
ejpam-2911	236	3	25	25	NUM
ejpam-2911	236	4	)	)	PUNCT
ejpam-2911	236	5	in	in	ADP
ejpam-2911	236	6	(	(	PUNCT
ejpam-2911	236	7	26	26	NUM
ejpam-2911	236	8	)	)	PUNCT
ejpam-2911	236	9	,	,	PUNCT
ejpam-2911	236	10	we	we	PRON
ejpam-2911	236	11	obtain	obtain	VERB
ejpam-2911	236	12	that	that	SCONJ
ejpam-2911	236	13	d(xn	d(xn	PROPN
ejpam-2911	236	14	,	,	PUNCT
ejpam-2911	236	15	un	un	ADJ
ejpam-2911	236	16	)	)	PUNCT
ejpam-2911	236	17	≤	≤	NOUN
ejpam-2911	236	18	αnδd	αnδd	NOUN
ejpam-2911	236	19	(	(	PUNCT
ejpam-2911	236	20	xn−1	xn−1	PROPN
ejpam-2911	236	21	,	,	PUNCT
ejpam-2911	236	22	un−1	un−1	PROPN
ejpam-2911	236	23	)	)	PUNCT
ejpam-2911	236	24	+	+	NUM
ejpam-2911	236	25	αnϕ	αnϕ	INTJ
ejpam-2911	236	26	(	(	PUNCT
ejpam-2911	236	27	d	d	X
ejpam-2911	236	28	(	(	PUNCT
ejpam-2911	236	29	xn−1	xn−1	PROPN
ejpam-2911	236	30	,	,	PUNCT
ejpam-2911	236	31	txn−1	txn−1	PROPN
ejpam-2911	236	32	)	)	PUNCT
ejpam-2911	236	33	)	)	PUNCT
ejpam-2911	236	34	(	(	PUNCT
ejpam-2911	236	35	27	27	NUM
ejpam-2911	236	36	)	)	PUNCT
ejpam-2911	237	1	+	+	NOUN
ejpam-2911	237	2	(	(	PUNCT
ejpam-2911	237	3	1−	1−	NUM
ejpam-2911	237	4	αn)ϕ	αn)ϕ	PROPN
ejpam-2911	237	5	(	(	PUNCT
ejpam-2911	237	6	d	d	PROPN
ejpam-2911	237	7	(	(	PUNCT
ejpam-2911	237	8	yn	yn	PROPN
ejpam-2911	237	9	,	,	PUNCT
ejpam-2911	237	10	t	t	PROPN
ejpam-2911	237	11	yn	yn	PROPN
ejpam-2911	237	12	)	)	PUNCT
ejpam-2911	237	13	)	)	PUNCT
ejpam-2911	238	1	+	+	CCONJ
ejpam-2911	238	2	ε+	ε+	X
ejpam-2911	238	3	(	(	PUNCT
ejpam-2911	238	4	1−	1−	NUM
ejpam-2911	238	5	αn)δ	αn)δ	PROPN
ejpam-2911	238	6	[	[	X
ejpam-2911	238	7	[	[	X
ejpam-2911	238	8	βn	βn	X
ejpam-2911	238	9	+	+	CCONJ
ejpam-2911	238	10	(	(	PUNCT
ejpam-2911	238	11	1−	1−	NUM
ejpam-2911	238	12	βn)δ	βn)δ	PROPN
ejpam-2911	238	13	]	]	X
ejpam-2911	238	14	d	d	X
ejpam-2911	238	15	(	(	PUNCT
ejpam-2911	238	16	xn	xn	PROPN
ejpam-2911	238	17	,	,	PUNCT
ejpam-2911	238	18	un	un	PROPN
ejpam-2911	238	19	)	)	PUNCT
ejpam-2911	238	20	+	+	CCONJ
ejpam-2911	238	21	(	(	PUNCT
ejpam-2911	238	22	1−	1−	NUM
ejpam-2911	238	23	βn	βn	NOUN
ejpam-2911	238	24	)	)	PUNCT
ejpam-2911	239	1	[	[	X
ejpam-2911	239	2	ϕ	ϕ	X
ejpam-2911	239	3	(	(	PUNCT
ejpam-2911	239	4	d	d	X
ejpam-2911	239	5	(	(	PUNCT
ejpam-2911	239	6	xn	xn	PROPN
ejpam-2911	239	7	,	,	PUNCT
ejpam-2911	239	8	txn	txn	NOUN
ejpam-2911	239	9	)	)	PUNCT
ejpam-2911	239	10	)	)	PUNCT
ejpam-2911	240	1	+	+	CCONJ
ejpam-2911	240	2	ε	ε	PROPN
ejpam-2911	240	3	]	]	X
ejpam-2911	240	4	]	]	X
ejpam-2911	240	5	=	=	SYM
ejpam-2911	240	6	αnδd	αnδd	NOUN
ejpam-2911	240	7	(	(	PUNCT
ejpam-2911	240	8	xn−1	xn−1	PROPN
ejpam-2911	240	9	,	,	PUNCT
ejpam-2911	240	10	un−1	un−1	PROPN
ejpam-2911	240	11	)	)	PUNCT
ejpam-2911	240	12	+	+	NUM
ejpam-2911	241	1	αnϕ	αnϕ	INTJ
ejpam-2911	241	2	(	(	PUNCT
ejpam-2911	241	3	d	d	X
ejpam-2911	241	4	(	(	PUNCT
ejpam-2911	241	5	xn−1	xn−1	PROPN
ejpam-2911	241	6	,	,	PUNCT
ejpam-2911	241	7	txn−1	txn−1	PROPN
ejpam-2911	241	8	)	)	PUNCT
ejpam-2911	241	9	)	)	PUNCT
ejpam-2911	242	1	+	+	PROPN
ejpam-2911	242	2	(	(	PUNCT
ejpam-2911	242	3	1−	1−	NUM
ejpam-2911	242	4	αn)ϕ	αn)ϕ	PROPN
ejpam-2911	242	5	(	(	PUNCT
ejpam-2911	242	6	d	d	PROPN
ejpam-2911	242	7	(	(	PUNCT
ejpam-2911	242	8	yn	yn	PROPN
ejpam-2911	242	9	,	,	PUNCT
ejpam-2911	242	10	t	t	PROPN
ejpam-2911	242	11	yn	yn	PROPN
ejpam-2911	242	12	)	)	PUNCT
ejpam-2911	242	13	)	)	PUNCT
ejpam-2911	242	14	+	+	CCONJ
ejpam-2911	242	15	ε+	ε+	X
ejpam-2911	242	16	(	(	PUNCT
ejpam-2911	242	17	1−	1−	NUM
ejpam-2911	242	18	αn)δ	αn)δ	PROPN
ejpam-2911	242	19	[	[	X
ejpam-2911	242	20	βn	βn	X
ejpam-2911	242	21	+	+	CCONJ
ejpam-2911	242	22	(	(	PUNCT
ejpam-2911	242	23	1−	1−	NUM
ejpam-2911	242	24	βn)δ	βn)δ	PROPN
ejpam-2911	242	25	]	]	X
ejpam-2911	242	26	d	d	X
ejpam-2911	242	27	(	(	PUNCT
ejpam-2911	242	28	xn	xn	PROPN
ejpam-2911	242	29	,	,	PUNCT
ejpam-2911	242	30	un	un	PROPN
ejpam-2911	242	31	)	)	PUNCT
ejpam-2911	242	32	+	+	CCONJ
ejpam-2911	242	33	(	(	PUNCT
ejpam-2911	242	34	1−	1−	NUM
ejpam-2911	242	35	αn)δ	αn)δ	PROPN
ejpam-2911	242	36	(	(	PUNCT
ejpam-2911	242	37	1−	1−	NUM
ejpam-2911	242	38	βn)ϕ	βn)ϕ	SYM
ejpam-2911	242	39	(	(	PUNCT
ejpam-2911	242	40	d	d	X
ejpam-2911	242	41	(	(	PUNCT
ejpam-2911	242	42	xn	xn	PROPN
ejpam-2911	242	43	,	,	PUNCT
ejpam-2911	242	44	txn	txn	NOUN
ejpam-2911	242	45	)	)	PUNCT
ejpam-2911	242	46	)	)	PUNCT
ejpam-2911	243	1	+	+	CCONJ
ejpam-2911	243	2	(	(	PUNCT
ejpam-2911	243	3	1−	1−	NUM
ejpam-2911	243	4	αn)δ(1−	αn)δ(1−	PROPN
ejpam-2911	243	5	βn)ε	βn)ε	PROPN
ejpam-2911	243	6	.	.	PUNCT
ejpam-2911	244	1	it	it	PRON
ejpam-2911	244	2	follows	follow	VERB
ejpam-2911	244	3	from	from	ADP
ejpam-2911	244	4	(	(	PUNCT
ejpam-2911	244	5	27	27	NUM
ejpam-2911	244	6	)	)	PUNCT
ejpam-2911	244	7	that	that	SCONJ
ejpam-2911	245	1	[	[	X
ejpam-2911	245	2	1−	1−	NUM
ejpam-2911	245	3	(	(	PUNCT
ejpam-2911	245	4	1−	1−	NUM
ejpam-2911	245	5	αn)δ	αn)δ	PROPN
ejpam-2911	245	6	[	[	X
ejpam-2911	245	7	βn	βn	X
ejpam-2911	245	8	+	+	CCONJ
ejpam-2911	245	9	(	(	PUNCT
ejpam-2911	245	10	1−	1−	NUM
ejpam-2911	245	11	βn)δ	βn)δ	PROPN
ejpam-2911	245	12	]	]	X
ejpam-2911	245	13	]	]	X
ejpam-2911	245	14	d(xn	d(xn	PROPN
ejpam-2911	245	15	,	,	PUNCT
ejpam-2911	245	16	un	un	PROPN
ejpam-2911	245	17	)	)	PUNCT
ejpam-2911	245	18	(	(	PUNCT
ejpam-2911	245	19	28	28	NUM
ejpam-2911	245	20	)	)	PUNCT
ejpam-2911	245	21	≤	≤	NOUN
ejpam-2911	245	22	αnδd	αnδd	NOUN
ejpam-2911	245	23	(	(	PUNCT
ejpam-2911	245	24	xn−1	xn−1	PROPN
ejpam-2911	245	25	,	,	PUNCT
ejpam-2911	245	26	un−1	un−1	PROPN
ejpam-2911	245	27	)	)	PUNCT
ejpam-2911	245	28	+	+	NUM
ejpam-2911	245	29	αnϕ	αnϕ	INTJ
ejpam-2911	245	30	(	(	PUNCT
ejpam-2911	245	31	d	d	X
ejpam-2911	245	32	(	(	PUNCT
ejpam-2911	245	33	xn−1	xn−1	PROPN
ejpam-2911	245	34	,	,	PUNCT
ejpam-2911	245	35	txn−1	txn−1	PROPN
ejpam-2911	245	36	)	)	PUNCT
ejpam-2911	245	37	)	)	PUNCT
ejpam-2911	246	1	+	+	PROPN
ejpam-2911	246	2	(	(	PUNCT
ejpam-2911	246	3	1−	1−	NUM
ejpam-2911	246	4	αn)ϕ	αn)ϕ	PROPN
ejpam-2911	246	5	(	(	PUNCT
ejpam-2911	246	6	d	d	PROPN
ejpam-2911	246	7	(	(	PUNCT
ejpam-2911	246	8	yn	yn	PROPN
ejpam-2911	246	9	,	,	PUNCT
ejpam-2911	246	10	t	t	PROPN
ejpam-2911	246	11	yn	yn	PROPN
ejpam-2911	246	12	)	)	PUNCT
ejpam-2911	246	13	)	)	PUNCT
ejpam-2911	247	1	+	+	CCONJ
ejpam-2911	247	2	ε+	ε+	X
ejpam-2911	247	3	(	(	PUNCT
ejpam-2911	247	4	1−	1−	NUM
ejpam-2911	247	5	αn)δ	αn)δ	PROPN
ejpam-2911	247	6	(	(	PUNCT
ejpam-2911	247	7	1−	1−	NUM
ejpam-2911	247	8	βn)ϕ	βn)ϕ	SYM
ejpam-2911	247	9	(	(	PUNCT
ejpam-2911	247	10	d	d	X
ejpam-2911	247	11	(	(	PUNCT
ejpam-2911	247	12	xn	xn	PROPN
ejpam-2911	247	13	,	,	PUNCT
ejpam-2911	247	14	txn	txn	NOUN
ejpam-2911	247	15	)	)	PUNCT
ejpam-2911	247	16	)	)	PUNCT
ejpam-2911	247	17	+	+	CCONJ
ejpam-2911	247	18	(	(	PUNCT
ejpam-2911	247	19	1−	1−	NUM
ejpam-2911	247	20	αn)δ(1−	αn)δ(1−	PROPN
ejpam-2911	247	21	βn)ε	βn)ε	PROPN
ejpam-2911	247	22	,	,	PUNCT
ejpam-2911	247	23	which	which	PRON
ejpam-2911	247	24	further	far	ADV
ejpam-2911	247	25	implies	imply	VERB
ejpam-2911	247	26	that	that	SCONJ
ejpam-2911	247	27	d(xn	d(xn	PROPN
ejpam-2911	247	28	,	,	PUNCT
ejpam-2911	247	29	un	un	ADJ
ejpam-2911	247	30	)	)	PUNCT
ejpam-2911	247	31	≤	≤	NOUN
ejpam-2911	247	32	αnδ	αnδ	ADJ
ejpam-2911	247	33	1−	1−	NUM
ejpam-2911	247	34	(	(	PUNCT
ejpam-2911	247	35	1−	1−	NUM
ejpam-2911	247	36	αn)δ	αn)δ	PROPN
ejpam-2911	248	1	[	[	X
ejpam-2911	248	2	βn	βn	X
ejpam-2911	248	3	+	+	CCONJ
ejpam-2911	248	4	(	(	PUNCT
ejpam-2911	248	5	1−	1−	NUM
ejpam-2911	248	6	βn)δ	βn)δ	PROPN
ejpam-2911	248	7	]	]	X
ejpam-2911	249	1	d	d	X
ejpam-2911	249	2	(	(	PUNCT
ejpam-2911	249	3	xn−1	xn−1	PROPN
ejpam-2911	249	4	,	,	PUNCT
ejpam-2911	249	5	un−1	un−1	PROPN
ejpam-2911	249	6	)	)	PUNCT
ejpam-2911	249	7	(	(	PUNCT
ejpam-2911	249	8	29	29	NUM
ejpam-2911	249	9	)	)	PUNCT
ejpam-2911	249	10	+	+	CCONJ
ejpam-2911	249	11	{	{	PUNCT
ejpam-2911	249	12	αnϕ	αnϕ	INTJ
ejpam-2911	249	13	(	(	PUNCT
ejpam-2911	249	14	d	d	X
ejpam-2911	249	15	(	(	PUNCT
ejpam-2911	249	16	xn−1	xn−1	PROPN
ejpam-2911	249	17	,	,	PUNCT
ejpam-2911	249	18	txn−1	txn−1	PROPN
ejpam-2911	249	19	)	)	PUNCT
ejpam-2911	249	20	)	)	PUNCT
ejpam-2911	250	1	+	+	CCONJ
ejpam-2911	250	2	(	(	PUNCT
ejpam-2911	250	3	1−	1−	NUM
ejpam-2911	250	4	αn)ϕ	αn)ϕ	PROPN
ejpam-2911	250	5	(	(	PUNCT
ejpam-2911	250	6	d	d	PROPN
ejpam-2911	250	7	(	(	PUNCT
ejpam-2911	250	8	yn	yn	PROPN
ejpam-2911	250	9	,	,	PUNCT
ejpam-2911	250	10	t	t	PROPN
ejpam-2911	250	11	yn	yn	PROPN
ejpam-2911	250	12	)	)	PUNCT
ejpam-2911	250	13	)	)	PUNCT
ejpam-2911	251	1	+	+	PROPN
ejpam-2911	251	2	(	(	PUNCT
ejpam-2911	251	3	1−	1−	NUM
ejpam-2911	251	4	αn)δ(1−	αn)δ(1−	PROPN
ejpam-2911	251	5	βn)ϕ	βn)ϕ	PUNCT
ejpam-2911	251	6	(	(	PUNCT
ejpam-2911	251	7	d	d	X
ejpam-2911	251	8	(	(	PUNCT
ejpam-2911	251	9	xn	xn	PROPN
ejpam-2911	251	10	,	,	PUNCT
ejpam-2911	251	11	txn	txn	NOUN
ejpam-2911	251	12	)	)	PUNCT
ejpam-2911	251	13	)	)	PUNCT
ejpam-2911	251	14	}	}	PUNCT
ejpam-2911	251	15	1−	1−	NUM
ejpam-2911	251	16	(	(	PUNCT
ejpam-2911	251	17	1−	1−	NUM
ejpam-2911	251	18	αn)δ	αn)δ	PROPN
ejpam-2911	252	1	[	[	X
ejpam-2911	252	2	βn	βn	X
ejpam-2911	252	3	+	+	CCONJ
ejpam-2911	252	4	(	(	PUNCT
ejpam-2911	252	5	1−	1−	NUM
ejpam-2911	252	6	βn)δ	βn)δ	PROPN
ejpam-2911	252	7	]	]	X
ejpam-2911	253	1	+	+	NOUN
ejpam-2911	253	2	ε+	ε+	X
ejpam-2911	253	3	(	(	PUNCT
ejpam-2911	253	4	1−	1−	NUM
ejpam-2911	253	5	αn)δ(1−	αn)δ(1−	PROPN
ejpam-2911	253	6	βn)ε	βn)ε	PROPN
ejpam-2911	253	7	1−	1−	NUM
ejpam-2911	253	8	(	(	PUNCT
ejpam-2911	253	9	1−	1−	NUM
ejpam-2911	253	10	αn)δ	αn)δ	PROPN
ejpam-2911	253	11	[	[	X
ejpam-2911	253	12	βn	βn	X
ejpam-2911	253	13	+	+	CCONJ
ejpam-2911	253	14	(	(	PUNCT
ejpam-2911	253	15	1−	1−	NUM
ejpam-2911	253	16	βn)δ	βn)δ	PROPN
ejpam-2911	253	17	]	]	PUNCT
ejpam-2911	253	18	.	.	PUNCT
ejpam-2911	254	1	we	we	PRON
ejpam-2911	254	2	set	set	VERB
ejpam-2911	254	3	∆n	∆n	PROPN
ejpam-2911	254	4	=	=	PROPN
ejpam-2911	254	5	αnδ	αnδ	PROPN
ejpam-2911	254	6	1−	1−	NUM
ejpam-2911	255	1	(	(	PUNCT
ejpam-2911	255	2	1−	1−	NUM
ejpam-2911	255	3	αn)δ	αn)δ	PROPN
ejpam-2911	256	1	[	[	X
ejpam-2911	256	2	βn	βn	X
ejpam-2911	256	3	+	+	CCONJ
ejpam-2911	256	4	(	(	PUNCT
ejpam-2911	256	5	1−	1−	NUM
ejpam-2911	256	6	βn)δ	βn)δ	PROPN
ejpam-2911	256	7	]	]	PUNCT
ejpam-2911	256	8	.	.	PUNCT
ejpam-2911	257	1	references	reference	NOUN
ejpam-2911	257	2	199	199	NUM
ejpam-2911	257	3	following	follow	VERB
ejpam-2911	257	4	arguments	argument	NOUN
ejpam-2911	257	5	similar	similar	ADJ
ejpam-2911	257	6	to	to	ADP
ejpam-2911	257	7	those	those	PRON
ejpam-2911	257	8	in	in	ADP
ejpam-2911	257	9	the	the	DET
ejpam-2911	257	10	proof	proof	NOUN
ejpam-2911	257	11	of	of	ADP
ejpam-2911	257	12	theorem	theorem	NOUN
ejpam-2911	257	13	1	1	NUM
ejpam-2911	257	14	,	,	PUNCT
ejpam-2911	257	15	we	we	PRON
ejpam-2911	257	16	have	have	VERB
ejpam-2911	257	17	∆n	∆n	PROPN
ejpam-2911	257	18	≤	≤	NOUN
ejpam-2911	257	19	1−	1−	NUM
ejpam-2911	258	1	(	(	PUNCT
ejpam-2911	258	2	1−	1−	NUM
ejpam-2911	258	3	αn	αn	NOUN
ejpam-2911	258	4	)	)	PUNCT
ejpam-2911	258	5	(	(	PUNCT
ejpam-2911	258	6	1−	1−	NUM
ejpam-2911	258	7	δ	δ	NOUN
ejpam-2911	258	8	)	)	PUNCT
ejpam-2911	258	9	.	.	PUNCT
ejpam-2911	259	1	(	(	PUNCT
ejpam-2911	259	2	30	30	NUM
ejpam-2911	259	3	)	)	PUNCT
ejpam-2911	259	4	therefore	therefore	ADV
ejpam-2911	259	5	,	,	PUNCT
ejpam-2911	259	6	d(xn	d(xn	PROPN
ejpam-2911	259	7	,	,	PUNCT
ejpam-2911	259	8	un	un	PROPN
ejpam-2911	259	9	)	)	PUNCT
ejpam-2911	259	10	≤	≤	NOUN
ejpam-2911	260	1	[	[	X
ejpam-2911	260	2	1−	1−	NUM
ejpam-2911	260	3	(	(	PUNCT
ejpam-2911	260	4	1−	1−	NUM
ejpam-2911	260	5	αn	αn	NOUN
ejpam-2911	260	6	)	)	PUNCT
ejpam-2911	260	7	(	(	PUNCT
ejpam-2911	260	8	1−	1−	NUM
ejpam-2911	260	9	δ	δ	NOUN
ejpam-2911	260	10	)	)	PUNCT
ejpam-2911	260	11	]	]	PUNCT
ejpam-2911	261	1	d	d	X
ejpam-2911	261	2	(	(	PUNCT
ejpam-2911	261	3	xn−1	xn−1	PROPN
ejpam-2911	261	4	,	,	PUNCT
ejpam-2911	261	5	un−1	un−1	PROPN
ejpam-2911	261	6	)	)	PUNCT
ejpam-2911	261	7	+	+	CCONJ
ejpam-2911	261	8	(	(	PUNCT
ejpam-2911	261	9	1−	1−	NUM
ejpam-2911	261	10	αn	αn	NOUN
ejpam-2911	261	11	)	)	PUNCT
ejpam-2911	261	12	(	(	PUNCT
ejpam-2911	261	13	1−	1−	NUM
ejpam-2911	261	14	δ	δ	NOUN
ejpam-2911	261	15	)	)	PUNCT
ejpam-2911	261	16	{	{	PUNCT
ejpam-2911	261	17	αn	αn	NUM
ejpam-2911	261	18	1−αn	1−αn	NUM
ejpam-2911	261	19	ϕ	ϕ	X
ejpam-2911	261	20	(	(	PUNCT
ejpam-2911	261	21	d	d	X
ejpam-2911	261	22	(	(	PUNCT
ejpam-2911	261	23	xn−1	xn−1	PROPN
ejpam-2911	261	24	,	,	PUNCT
ejpam-2911	261	25	txn−1	txn−1	PROPN
ejpam-2911	261	26	)	)	PUNCT
ejpam-2911	261	27	)	)	PUNCT
ejpam-2911	262	1	+	+	CCONJ
ejpam-2911	262	2	ϕ	ϕ	X
ejpam-2911	262	3	(	(	PUNCT
ejpam-2911	262	4	d	d	X
ejpam-2911	262	5	(	(	PUNCT
ejpam-2911	262	6	yn	yn	PROPN
ejpam-2911	262	7	,	,	PUNCT
ejpam-2911	262	8	t	t	PROPN
ejpam-2911	262	9	yn	yn	PROPN
ejpam-2911	262	10	)	)	PUNCT
ejpam-2911	262	11	)	)	PUNCT
ejpam-2911	263	1	+	+	PUNCT
ejpam-2911	263	2	δ(1−	δ(1−	NOUN
ejpam-2911	263	3	βn)ϕ	βn)ϕ	SYM
ejpam-2911	263	4	(	(	PUNCT
ejpam-2911	263	5	d	d	X
ejpam-2911	263	6	(	(	PUNCT
ejpam-2911	263	7	xn	xn	PROPN
ejpam-2911	263	8	,	,	PUNCT
ejpam-2911	263	9	txn	txn	NOUN
ejpam-2911	263	10	)	)	PUNCT
ejpam-2911	263	11	)	)	PUNCT
ejpam-2911	264	1	+	+	CCONJ
ejpam-2911	264	2	2ε	2ε	NUM
ejpam-2911	264	3	}	}	PUNCT
ejpam-2911	264	4	(	(	PUNCT
ejpam-2911	264	5	1−	1−	NUM
ejpam-2911	264	6	δ	δ	NOUN
ejpam-2911	264	7	)	)	PUNCT
ejpam-2911	265	1	[	[	X
ejpam-2911	265	2	1−	1−	NUM
ejpam-2911	265	3	(	(	PUNCT
ejpam-2911	265	4	1−	1−	NUM
ejpam-2911	265	5	αn)δ	αn)δ	PROPN
ejpam-2911	265	6	[	[	X
ejpam-2911	265	7	βn	βn	X
ejpam-2911	265	8	+	+	CCONJ
ejpam-2911	265	9	(	(	PUNCT
ejpam-2911	265	10	1−	1−	NUM
ejpam-2911	265	11	βn)δ	βn)δ	PROPN
ejpam-2911	265	12	]	]	X
ejpam-2911	265	13	]	]	PUNCT
ejpam-2911	265	14	.	.	PUNCT
ejpam-2911	266	1	note	note	VERB
ejpam-2911	266	2	that	that	SCONJ
ejpam-2911	266	3	1−	1−	NUM
ejpam-2911	266	4	(	(	PUNCT
ejpam-2911	266	5	1−	1−	NUM
ejpam-2911	266	6	αn)δ	αn)δ	PROPN
ejpam-2911	266	7	[	[	X
ejpam-2911	266	8	βn	βn	X
ejpam-2911	266	9	+	+	CCONJ
ejpam-2911	266	10	(	(	PUNCT
ejpam-2911	266	11	1−	1−	NUM
ejpam-2911	266	12	βn)δ	βn)δ	PROPN
ejpam-2911	266	13	]	]	X
ejpam-2911	266	14	=	=	SYM
ejpam-2911	266	15	1−	1−	NUM
ejpam-2911	266	16	(	(	PUNCT
ejpam-2911	266	17	1−	1−	NUM
ejpam-2911	266	18	αn)δ	αn)δ	PROPN
ejpam-2911	267	1	[	[	X
ejpam-2911	267	2	1−	1−	NUM
ejpam-2911	267	3	(	(	PUNCT
ejpam-2911	267	4	1−	1−	NUM
ejpam-2911	267	5	βn	βn	NOUN
ejpam-2911	267	6	)	)	PUNCT
ejpam-2911	267	7	(	(	PUNCT
ejpam-2911	267	8	1−	1−	NUM
ejpam-2911	267	9	δ	δ	NOUN
ejpam-2911	267	10	)	)	PUNCT
ejpam-2911	267	11	]	]	PUNCT
ejpam-2911	267	12	≥	≥	NOUN
ejpam-2911	267	13	1−	1−	NUM
ejpam-2911	267	14	δ	δ	PROPN
ejpam-2911	267	15	.	.	PUNCT
ejpam-2911	268	1	hence	hence	ADV
ejpam-2911	268	2	d(xn	d(xn	PROPN
ejpam-2911	268	3	,	,	PUNCT
ejpam-2911	268	4	un	un	PROPN
ejpam-2911	268	5	)	)	PUNCT
ejpam-2911	268	6	≤	≤	NOUN
ejpam-2911	269	1	[	[	X
ejpam-2911	269	2	1−	1−	NUM
ejpam-2911	269	3	(	(	PUNCT
ejpam-2911	269	4	1−	1−	NUM
ejpam-2911	269	5	αn	αn	NOUN
ejpam-2911	269	6	)	)	PUNCT
ejpam-2911	269	7	(	(	PUNCT
ejpam-2911	269	8	1−	1−	NUM
ejpam-2911	269	9	δ	δ	NOUN
ejpam-2911	269	10	)	)	PUNCT
ejpam-2911	269	11	]	]	PUNCT
ejpam-2911	270	1	d	d	X
ejpam-2911	270	2	(	(	PUNCT
ejpam-2911	270	3	xn−1	xn−1	PROPN
ejpam-2911	270	4	,	,	PUNCT
ejpam-2911	270	5	un−1	un−1	PROPN
ejpam-2911	270	6	)	)	PUNCT
ejpam-2911	270	7	(	(	PUNCT
ejpam-2911	270	8	31	31	NUM
ejpam-2911	270	9	)	)	PUNCT
ejpam-2911	270	10	+	+	CCONJ
ejpam-2911	270	11	(	(	PUNCT
ejpam-2911	270	12	1−	1−	NUM
ejpam-2911	270	13	αn	αn	NOUN
ejpam-2911	270	14	)	)	PUNCT
ejpam-2911	270	15	(	(	PUNCT
ejpam-2911	270	16	1−	1−	NUM
ejpam-2911	270	17	δ	δ	NOUN
ejpam-2911	270	18	)	)	PUNCT
ejpam-2911	270	19	{	{	PUNCT
ejpam-2911	270	20	αn	αn	NUM
ejpam-2911	270	21	1−αn	1−αn	NUM
ejpam-2911	270	22	ϕ	ϕ	X
ejpam-2911	270	23	(	(	PUNCT
ejpam-2911	270	24	d	d	X
ejpam-2911	270	25	(	(	PUNCT
ejpam-2911	270	26	xn−1	xn−1	PROPN
ejpam-2911	270	27	,	,	PUNCT
ejpam-2911	270	28	txn−1	txn−1	PROPN
ejpam-2911	270	29	)	)	PUNCT
ejpam-2911	270	30	)	)	PUNCT
ejpam-2911	271	1	+	+	CCONJ
ejpam-2911	271	2	ϕ	ϕ	X
ejpam-2911	271	3	(	(	PUNCT
ejpam-2911	271	4	d	d	X
ejpam-2911	271	5	(	(	PUNCT
ejpam-2911	271	6	yn	yn	PROPN
ejpam-2911	271	7	,	,	PUNCT
ejpam-2911	271	8	t	t	PROPN
ejpam-2911	271	9	yn	yn	PROPN
ejpam-2911	271	10	)	)	PUNCT
ejpam-2911	271	11	)	)	PUNCT
ejpam-2911	272	1	+	+	PUNCT
ejpam-2911	272	2	δ(1−	δ(1−	NOUN
ejpam-2911	272	3	βn)ϕ	βn)ϕ	SYM
ejpam-2911	272	4	(	(	PUNCT
ejpam-2911	272	5	d	d	X
ejpam-2911	272	6	(	(	PUNCT
ejpam-2911	272	7	xn	xn	PROPN
ejpam-2911	272	8	,	,	PUNCT
ejpam-2911	272	9	txn	txn	NOUN
ejpam-2911	272	10	)	)	PUNCT
ejpam-2911	272	11	)	)	PUNCT
ejpam-2911	273	1	+	+	CCONJ
ejpam-2911	273	2	2ε	2ε	NUM
ejpam-2911	273	3	}	}	PUNCT
ejpam-2911	273	4	(	(	PUNCT
ejpam-2911	273	5	1−	1−	NUM
ejpam-2911	273	6	δ)2	δ)2	NOUN
ejpam-2911	273	7	.	.	PUNCT
ejpam-2911	274	1	that	that	PRON
ejpam-2911	274	2	is	be	AUX
ejpam-2911	274	3	,	,	PUNCT
ejpam-2911	274	4	an+1	an+1	ADJ
ejpam-2911	274	5	≤	≤	NOUN
ejpam-2911	274	6	(	(	PUNCT
ejpam-2911	274	7	1−	1−	NUM
ejpam-2911	274	8	µn)an	µn)an	PUNCT
ejpam-2911	275	1	+	+	CCONJ
ejpam-2911	275	2	µnηn	µnηn	NOUN
ejpam-2911	275	3	where	where	SCONJ
ejpam-2911	275	4	an+1	an+1	NOUN
ejpam-2911	275	5	=	=	SYM
ejpam-2911	275	6	d(xn	d(xn	PROPN
ejpam-2911	275	7	,	,	PUNCT
ejpam-2911	275	8	un	un	ADJ
ejpam-2911	275	9	)	)	PUNCT
ejpam-2911	275	10	,	,	PUNCT
ejpam-2911	275	11	µn	µn	PROPN
ejpam-2911	275	12	=	=	SYM
ejpam-2911	275	13	(	(	PUNCT
ejpam-2911	275	14	1−	1−	NUM
ejpam-2911	275	15	αn	αn	NOUN
ejpam-2911	275	16	)	)	PUNCT
ejpam-2911	275	17	(	(	PUNCT
ejpam-2911	275	18	1−	1−	NUM
ejpam-2911	275	19	δ	δ	NOUN
ejpam-2911	275	20	)	)	PUNCT
ejpam-2911	275	21	and	and	CCONJ
ejpam-2911	275	22	ηn	ηn	PROPN
ejpam-2911	275	23	=	=	PUNCT
ejpam-2911	275	24	αn	αn	NOUN
ejpam-2911	275	25	1−αn	1−αn	NUM
ejpam-2911	275	26	ϕ	ϕ	X
ejpam-2911	275	27	(	(	PUNCT
ejpam-2911	275	28	d	d	X
ejpam-2911	275	29	(	(	PUNCT
ejpam-2911	275	30	xn−1	xn−1	PROPN
ejpam-2911	275	31	,	,	PUNCT
ejpam-2911	275	32	txn−1	txn−1	PROPN
ejpam-2911	275	33	)	)	PUNCT
ejpam-2911	275	34	)	)	PUNCT
ejpam-2911	276	1	+	+	CCONJ
ejpam-2911	276	2	ϕ	ϕ	X
ejpam-2911	276	3	(	(	PUNCT
ejpam-2911	276	4	d	d	X
ejpam-2911	276	5	(	(	PUNCT
ejpam-2911	276	6	yn	yn	PROPN
ejpam-2911	276	7	,	,	PUNCT
ejpam-2911	276	8	t	t	PROPN
ejpam-2911	276	9	yn	yn	PROPN
ejpam-2911	276	10	)	)	PUNCT
ejpam-2911	276	11	)	)	PUNCT
ejpam-2911	277	1	+	+	PUNCT
ejpam-2911	277	2	δ(1−	δ(1−	NOUN
ejpam-2911	277	3	βn)ϕ	βn)ϕ	SYM
ejpam-2911	277	4	(	(	PUNCT
ejpam-2911	277	5	d	d	X
ejpam-2911	277	6	(	(	PUNCT
ejpam-2911	277	7	xn	xn	PROPN
ejpam-2911	277	8	,	,	PUNCT
ejpam-2911	277	9	txn	txn	NOUN
ejpam-2911	277	10	)	)	PUNCT
ejpam-2911	277	11	)	)	PUNCT
ejpam-2911	278	1	+	+	CCONJ
ejpam-2911	278	2	2ε	2ε	NUM
ejpam-2911	278	3	(	(	PUNCT
ejpam-2911	278	4	1−	1−	NUM
ejpam-2911	278	5	δ)2	δ)2	PROPN
ejpam-2911	278	6	.	.	PUNCT
ejpam-2911	279	1	from	from	ADP
ejpam-2911	279	2	theorem	theorem	ADJ
ejpam-2911	279	3	1	1	NUM
ejpam-2911	279	4	,	,	PUNCT
ejpam-2911	279	5	we	we	PRON
ejpam-2911	279	6	have	have	VERB
ejpam-2911	279	7	limn→∞	limn→∞	PROPN
ejpam-2911	279	8	d(xn	d(xn	ADJ
ejpam-2911	279	9	,	,	PUNCT
ejpam-2911	279	10	p	p	NOUN
ejpam-2911	279	11	)	)	PUNCT
ejpam-2911	279	12	=	=	SYM
ejpam-2911	279	13	limn→∞	limn→∞	X
ejpam-2911	279	14	d(xn−1	d(xn−1	X
ejpam-2911	279	15	,	,	PUNCT
ejpam-2911	279	16	p	p	NOUN
ejpam-2911	279	17	)	)	PUNCT
ejpam-2911	279	18	=	=	SYM
ejpam-2911	279	19	0	0	NUM
ejpam-2911	279	20	,	,	PUNCT
ejpam-2911	279	21	and	and	CCONJ
ejpam-2911	279	22	limn→∞	limn→∞	PRON
ejpam-2911	279	23	d(un	d(un	PROPN
ejpam-2911	279	24	,	,	PUNCT
ejpam-2911	279	25	p	p	NOUN
ejpam-2911	279	26	)	)	PUNCT
ejpam-2911	279	27	=	=	SYM
ejpam-2911	280	1	0	0	X
ejpam-2911	280	2	.	.	PUNCT
ejpam-2911	281	1	as	as	SCONJ
ejpam-2911	281	2	ϕ	ϕ	PROPN
ejpam-2911	281	3	is	be	AUX
ejpam-2911	281	4	continuous	continuous	ADJ
ejpam-2911	281	5	,	,	PUNCT
ejpam-2911	281	6	limn→∞	limn→∞	PROPN
ejpam-2911	281	7	ϕ	ϕ	X
ejpam-2911	281	8	(	(	PUNCT
ejpam-2911	281	9	d	d	X
ejpam-2911	281	10	(	(	PUNCT
ejpam-2911	281	11	xn−1	xn−1	PROPN
ejpam-2911	281	12	,	,	PUNCT
ejpam-2911	281	13	txn−1	txn−1	PROPN
ejpam-2911	281	14	)	)	PUNCT
ejpam-2911	281	15	)	)	PUNCT
ejpam-2911	282	1	=	=	SYM
ejpam-2911	282	2	0	0	NUM
ejpam-2911	282	3	,	,	PUNCT
ejpam-2911	282	4	limn→∞	limn→∞	X
ejpam-2911	282	5	ϕ	ϕ	X
ejpam-2911	282	6	(	(	PUNCT
ejpam-2911	282	7	d	d	PROPN
ejpam-2911	282	8	(	(	PUNCT
ejpam-2911	282	9	yn	yn	PROPN
ejpam-2911	282	10	,	,	PUNCT
ejpam-2911	282	11	t	t	PROPN
ejpam-2911	282	12	yn	yn	PROPN
ejpam-2911	282	13	)	)	PUNCT
ejpam-2911	282	14	)	)	PUNCT
ejpam-2911	282	15	=	=	PUNCT
ejpam-2911	282	16	0	0	NUM
ejpam-2911	282	17	,	,	PUNCT
ejpam-2911	282	18	and	and	CCONJ
ejpam-2911	282	19	limn→∞	limn→∞	PRON
ejpam-2911	282	20	ϕ	ϕ	X
ejpam-2911	282	21	(	(	PUNCT
ejpam-2911	282	22	d	d	X
ejpam-2911	282	23	(	(	PUNCT
ejpam-2911	282	24	xn	xn	PROPN
ejpam-2911	282	25	,	,	PUNCT
ejpam-2911	282	26	txn	txn	NOUN
ejpam-2911	282	27	)	)	PUNCT
ejpam-2911	282	28	)	)	PUNCT
ejpam-2911	283	1	=	=	PUNCT
ejpam-2911	283	2	0	0	X
ejpam-2911	283	3	.	.	PUNCT
ejpam-2911	284	1	thus	thus	ADV
ejpam-2911	284	2	all	all	DET
ejpam-2911	284	3	the	the	DET
ejpam-2911	284	4	conditions	condition	NOUN
ejpam-2911	284	5	of	of	ADP
ejpam-2911	284	6	lemma	lemma	PROPN
ejpam-2911	284	7	1	1	NUM
ejpam-2911	284	8	are	be	AUX
ejpam-2911	284	9	satisfied	satisfied	ADJ
ejpam-2911	284	10	,	,	PUNCT
ejpam-2911	284	11	therefore	therefore	ADV
ejpam-2911	284	12	(	(	PUNCT
ejpam-2911	284	13	31	31	NUM
ejpam-2911	284	14	)	)	PUNCT
ejpam-2911	284	15	becomes	become	VERB
ejpam-2911	284	16	d	d	NOUN
ejpam-2911	284	17	(	(	PUNCT
ejpam-2911	284	18	p	p	X
ejpam-2911	284	19	,	,	PUNCT
ejpam-2911	284	20	q	q	NOUN
ejpam-2911	284	21	)	)	PUNCT
ejpam-2911	284	22	≤	≤	NUM
ejpam-2911	284	23	2ε	2ε	NOUN
ejpam-2911	284	24	(	(	PUNCT
ejpam-2911	284	25	1−	1−	NUM
ejpam-2911	284	26	δ)2	δ)2	PROPN
ejpam-2911	284	27	.	.	PUNCT
ejpam-2911	285	1	references	reference	NOUN
ejpam-2911	285	2	[	[	X
ejpam-2911	285	3	1	1	NUM
ejpam-2911	285	4	]	]	PUNCT
ejpam-2911	285	5	m.	m.	NOUN
ejpam-2911	285	6	abbas	abbas	PROPN
ejpam-2911	285	7	,	,	PUNCT
ejpam-2911	285	8	p.	p.	NOUN
ejpam-2911	285	9	vetro	vetro	PROPN
ejpam-2911	285	10	,	,	PUNCT
ejpam-2911	285	11	s.	s.	PROPN
ejpam-2911	285	12	h.	h.	PROPN
ejpam-2911	285	13	khan	khan	PROPN
ejpam-2911	285	14	.	.	PUNCT
ejpam-2911	286	1	on	on	ADP
ejpam-2911	286	2	fixed	fix	VERB
ejpam-2911	286	3	points	point	NOUN
ejpam-2911	286	4	of	of	ADP
ejpam-2911	286	5	berinde	berinde	NOUN
ejpam-2911	286	6	’s	’s	PART
ejpam-2911	286	7	contractive	contractive	ADJ
ejpam-2911	286	8	mappings	mapping	NOUN
ejpam-2911	286	9	in	in	ADP
ejpam-2911	286	10	cone	cone	NOUN
ejpam-2911	286	11	metric	metric	ADJ
ejpam-2911	286	12	spaces	space	NOUN
ejpam-2911	286	13	.	.	PUNCT
ejpam-2911	287	1	carpath	carpath	PROPN
ejpam-2911	287	2	.	.	PUNCT
ejpam-2911	288	1	j.	j.	PROPN
ejpam-2911	288	2	math	math	PROPN
ejpam-2911	288	3	.	.	PROPN
ejpam-2911	288	4	,	,	PUNCT
ejpam-2911	288	5	26(2):121	26(2):121	NUM
ejpam-2911	288	6	-	-	SYM
ejpam-2911	288	7	133	133	NUM
ejpam-2911	288	8	,	,	PUNCT
ejpam-2911	288	9	2010	2010	NUM
ejpam-2911	288	10	.	.	PUNCT
ejpam-2911	288	11	references	reference	NOUN
ejpam-2911	288	12	200	200	NUM
ejpam-2911	288	13	[	[	X
ejpam-2911	288	14	2	2	NUM
ejpam-2911	288	15	]	]	PUNCT
ejpam-2911	288	16	s.	s.	PROPN
ejpam-2911	288	17	banach	banach	PROPN
ejpam-2911	288	18	.	.	PUNCT
ejpam-2911	289	1	sur	sur	PROPN
ejpam-2911	289	2	les	les	X
ejpam-2911	289	3	opérations	opération	NOUN
ejpam-2911	289	4	dans	dan	NOUN
ejpam-2911	289	5	les	les	X
ejpam-2911	289	6	ensembles	ensemble	NOUN
ejpam-2911	289	7	abstraits	abstrait	NOUN
ejpam-2911	289	8	et	et	PROPN
ejpam-2911	289	9	leur	leur	PROPN
ejpam-2911	289	10	applications	applications	PROPN
ejpam-2911	289	11	aux	aux	PROPN
ejpam-2911	289	12	équations	équations	PROPN
ejpam-2911	289	13	intégrales	intégrale	NOUN
ejpam-2911	289	14	.	.	PUNCT
ejpam-2911	290	1	fund	fund	PROPN
ejpam-2911	290	2	.	.	PUNCT
ejpam-2911	291	1	math	math	NOUN
ejpam-2911	291	2	.	.	PUNCT
ejpam-2911	292	1	,	,	PUNCT
ejpam-2911	292	2	3:133	3:133	NUM
ejpam-2911	292	3	-	-	SYM
ejpam-2911	292	4	181	181	NUM
ejpam-2911	292	5	,	,	PUNCT
ejpam-2911	292	6	1922	1922	NUM
ejpam-2911	292	7	.	.	PUNCT
ejpam-2911	293	1	[	[	X
ejpam-2911	293	2	3	3	X
ejpam-2911	293	3	]	]	PUNCT
ejpam-2911	293	4	v.	v.	CCONJ
ejpam-2911	293	5	berinde	berinde	NOUN
ejpam-2911	293	6	.	.	PUNCT
ejpam-2911	294	1	picard	picard	NOUN
ejpam-2911	294	2	iteration	iteration	PROPN
ejpam-2911	294	3	converges	converge	VERB
ejpam-2911	294	4	faster	fast	ADV
ejpam-2911	294	5	than	than	ADP
ejpam-2911	294	6	mann	mann	PROPN
ejpam-2911	294	7	iteration	iteration	NOUN
ejpam-2911	294	8	for	for	ADP
ejpam-2911	294	9	a	a	DET
ejpam-2911	294	10	class	class	NOUN
ejpam-2911	294	11	of	of	ADP
ejpam-2911	294	12	quasicontractive	quasicontractive	ADJ
ejpam-2911	294	13	operators	operator	NOUN
ejpam-2911	294	14	,	,	PUNCT
ejpam-2911	294	15	fixed	fix	VERB
ejpam-2911	294	16	point	point	NOUN
ejpam-2911	294	17	theory	theory	NOUN
ejpam-2911	294	18	and	and	CCONJ
ejpam-2911	294	19	applications	application	NOUN
ejpam-2911	294	20	,	,	PUNCT
ejpam-2911	294	21	2004:97	2004:97	NUM
ejpam-2911	294	22	-	-	SYM
ejpam-2911	294	23	105	105	NUM
ejpam-2911	294	24	,	,	PUNCT
ejpam-2911	294	25	2004	2004	NUM
ejpam-2911	294	26	.	.	PUNCT
ejpam-2911	295	1	[	[	X
ejpam-2911	295	2	4	4	X
ejpam-2911	295	3	]	]	X
ejpam-2911	295	4	v.	v.	CCONJ
ejpam-2911	295	5	berinde	berinde	NOUN
ejpam-2911	295	6	.	.	PUNCT
ejpam-2911	296	1	on	on	ADP
ejpam-2911	296	2	the	the	DET
ejpam-2911	296	3	convergence	convergence	NOUN
ejpam-2911	296	4	of	of	ADP
ejpam-2911	296	5	the	the	DET
ejpam-2911	296	6	ishikawa	ishikawa	PROPN
ejpam-2911	296	7	iteration	iteration	NOUN
ejpam-2911	296	8	in	in	ADP
ejpam-2911	296	9	the	the	DET
ejpam-2911	296	10	class	class	NOUN
ejpam-2911	296	11	of	of	ADP
ejpam-2911	296	12	quasi	quasi	PROPN
ejpam-2911	296	13	contractive	contractive	ADJ
ejpam-2911	296	14	operators	operator	NOUN
ejpam-2911	296	15	.	.	PUNCT
ejpam-2911	297	1	acta	acta	PROPN
ejpam-2911	297	2	math	math	PROPN
ejpam-2911	297	3	.	.	PUNCT
ejpam-2911	298	1	univ	univ	PROPN
ejpam-2911	298	2	.	.	PUNCT
ejpam-2911	298	3	comen	comen	PROPN
ejpam-2911	298	4	.	.	PUNCT
ejpam-2911	299	1	73:119	73:119	NUM
ejpam-2911	299	2	-	-	SYM
ejpam-2911	299	3	126	126	NUM
ejpam-2911	299	4	,	,	PUNCT
ejpam-2911	299	5	2004	2004	NUM
ejpam-2911	299	6	.	.	PUNCT
ejpam-2911	300	1	[	[	X
ejpam-2911	300	2	5	5	NUM
ejpam-2911	300	3	]	]	X
ejpam-2911	300	4	s.s	s.s	PROPN
ejpam-2911	300	5	.	.	PROPN
ejpam-2911	300	6	chang	chang	PROPN
ejpam-2911	300	7	,	,	PUNCT
ejpam-2911	300	8	l.	l.	PROPN
ejpam-2911	300	9	yang	yang	PROPN
ejpam-2911	300	10	,	,	PUNCT
ejpam-2911	300	11	x.r	x.r	PROPN
ejpam-2911	300	12	.	.	PUNCT
ejpam-2911	300	13	wang	wang	PROPN
ejpam-2911	300	14	.	.	PUNCT
ejpam-2911	301	1	stronger	strong	ADJ
ejpam-2911	301	2	convergence	convergence	NOUN
ejpam-2911	301	3	theorems	theorem	NOUN
ejpam-2911	301	4	for	for	ADP
ejpam-2911	301	5	an	an	DET
ejpam-2911	301	6	infinite	infinite	ADJ
ejpam-2911	301	7	family	family	NOUN
ejpam-2911	301	8	of	of	ADP
ejpam-2911	301	9	uniformly	uniformly	ADV
ejpam-2911	301	10	quasi	quasi	ADJ
ejpam-2911	301	11	-	-	ADJ
ejpam-2911	301	12	lipschitzian	lipschitzian	ADJ
ejpam-2911	301	13	mappings	mapping	NOUN
ejpam-2911	301	14	in	in	ADP
ejpam-2911	301	15	convex	convex	ADJ
ejpam-2911	301	16	metric	metric	ADJ
ejpam-2911	301	17	spaces	space	NOUN
ejpam-2911	301	18	.	.	PUNCT
ejpam-2911	302	1	appl	appl	PROPN
ejpam-2911	302	2	.	.	PROPN
ejpam-2911	302	3	math	math	PROPN
ejpam-2911	302	4	.	.	PUNCT
ejpam-2911	303	1	comp	comp	NOUN
ejpam-2911	303	2	.	.	PUNCT
ejpam-2911	304	1	217:277–282	217:277–282	NUM
ejpam-2911	304	2	,	,	PUNCT
ejpam-2911	304	3	2010	2010	NUM
ejpam-2911	304	4	.	.	PUNCT
ejpam-2911	305	1	[	[	X
ejpam-2911	305	2	6	6	NUM
ejpam-2911	305	3	]	]	PUNCT
ejpam-2911	305	4	r.	r.	NOUN
ejpam-2911	305	5	chugh	chugh	NOUN
ejpam-2911	305	6	,	,	PUNCT
ejpam-2911	305	7	p.	p.	NOUN
ejpam-2911	305	8	malik	malik	PROPN
ejpam-2911	305	9	and	and	CCONJ
ejpam-2911	305	10	v.	v.	ADP
ejpam-2911	305	11	kumar	kumar	PROPN
ejpam-2911	305	12	.	.	PUNCT
ejpam-2911	306	1	on	on	ADP
ejpam-2911	306	2	analytical	analytical	ADJ
ejpam-2911	306	3	and	and	CCONJ
ejpam-2911	306	4	numerical	numerical	ADJ
ejpam-2911	306	5	study	study	NOUN
ejpam-2911	306	6	of	of	ADP
ejpam-2911	306	7	implicit	implicit	ADJ
ejpam-2911	306	8	fixed	fix	VERB
ejpam-2911	306	9	point	point	NOUN
ejpam-2911	306	10	iterations	iteration	NOUN
ejpam-2911	306	11	.	.	PUNCT
ejpam-2911	307	1	cogent	cogent	NOUN
ejpam-2911	307	2	mathematics	mathematic	NOUN
ejpam-2911	307	3	,	,	PUNCT
ejpam-2911	307	4	2:1021623	2:1021623	NUM
ejpam-2911	307	5	,	,	PUNCT
ejpam-2911	307	6	2015	2015	NUM
ejpam-2911	307	7	.	.	PUNCT
ejpam-2911	308	1	[	[	X
ejpam-2911	308	2	7	7	X
ejpam-2911	308	3	]	]	X
ejpam-2911	308	4	lj	lj	PROPN
ejpam-2911	308	5	.	.	PROPN
ejpam-2911	308	6	b.	b.	PROPN
ejpam-2911	308	7	ćirić	ćirić	PROPN
ejpam-2911	308	8	,	,	PUNCT
ejpam-2911	308	9	rafiq	rafiq	PROPN
ejpam-2911	308	10	,	,	PUNCT
ejpam-2911	308	11	a.	a.	NOUN
ejpam-2911	308	12	,	,	PUNCT
ejpam-2911	308	13	cakić	cakić	ADJ
ejpam-2911	308	14	,	,	PUNCT
ejpam-2911	308	15	n.	n.	NOUN
ejpam-2911	308	16	,	,	PUNCT
ejpam-2911	308	17	&	&	CCONJ
ejpam-2911	308	18	ume	ume	PROPN
ejpam-2911	308	19	,	,	PUNCT
ejpam-2911	308	20	j.	j.	PROPN
ejpam-2911	308	21	s.	s.	PROPN
ejpam-2911	308	22	implicit	implicit	ADJ
ejpam-2911	308	23	mann	mann	PROPN
ejpam-2911	308	24	fixed	fix	VERB
ejpam-2911	308	25	point	point	NOUN
ejpam-2911	308	26	iterations	iteration	NOUN
ejpam-2911	308	27	for	for	ADP
ejpam-2911	308	28	pseudo	pseudo	NOUN
ejpam-2911	308	29	-	-	ADJ
ejpam-2911	308	30	contractive	contractive	ADJ
ejpam-2911	308	31	mappings	mapping	NOUN
ejpam-2911	308	32	.	.	PUNCT
ejpam-2911	309	1	applied	apply	VERB
ejpam-2911	309	2	mathematics	mathematics	NOUN
ejpam-2911	309	3	letters	letter	NOUN
ejpam-2911	309	4	,	,	PUNCT
ejpam-2911	309	5	22:581	22:581	NUM
ejpam-2911	309	6	-	-	SYM
ejpam-2911	309	7	584	584	NUM
ejpam-2911	309	8	,	,	PUNCT
ejpam-2911	309	9	2009	2009	NUM
ejpam-2911	309	10	.	.	PUNCT
ejpam-2911	310	1	[	[	X
ejpam-2911	310	2	8	8	NUM
ejpam-2911	310	3	]	]	X
ejpam-2911	310	4	lj	lj	PROPN
ejpam-2911	310	5	.	.	PROPN
ejpam-2911	310	6	b.	b.	PROPN
ejpam-2911	310	7	ćirić	ćirić	PROPN
ejpam-2911	310	8	,	,	PUNCT
ejpam-2911	310	9	rafiq	rafiq	PROPN
ejpam-2911	310	10	,	,	PUNCT
ejpam-2911	310	11	a.	a.	NOUN
ejpam-2911	310	12	,	,	PUNCT
ejpam-2911	310	13	radenović	radenović	ADJ
ejpam-2911	310	14	,	,	PUNCT
ejpam-2911	310	15	s.	s.	PROPN
ejpam-2911	310	16	,	,	PUNCT
ejpam-2911	310	17	rajović	rajović	NOUN
ejpam-2911	310	18	,	,	PUNCT
ejpam-2911	310	19	m.	m.	NOUN
ejpam-2911	310	20	,	,	PUNCT
ejpam-2911	310	21	&	&	CCONJ
ejpam-2911	310	22	ume	ume	PROPN
ejpam-2911	310	23	,	,	PUNCT
ejpam-2911	310	24	j.	j.	PROPN
ejpam-2911	310	25	s.	s.	PROPN
ejpam-2911	310	26	on	on	ADP
ejpam-2911	310	27	mann	mann	PROPN
ejpam-2911	310	28	implicit	implicit	ADJ
ejpam-2911	310	29	iterations	iteration	NOUN
ejpam-2911	310	30	for	for	ADP
ejpam-2911	310	31	strongly	strongly	ADV
ejpam-2911	310	32	accretive	accretive	ADJ
ejpam-2911	310	33	and	and	CCONJ
ejpam-2911	310	34	strongly	strongly	ADV
ejpam-2911	310	35	pseudo	pseudo	ADJ
ejpam-2911	310	36	-	-	ADJ
ejpam-2911	310	37	contractive	contractive	ADJ
ejpam-2911	310	38	mappings	mapping	NOUN
ejpam-2911	310	39	.	.	PUNCT
ejpam-2911	311	1	applied	apply	VERB
ejpam-2911	311	2	mathematics	mathematic	NOUN
ejpam-2911	311	3	and	and	CCONJ
ejpam-2911	311	4	computation	computation	NOUN
ejpam-2911	311	5	,	,	PUNCT
ejpam-2911	311	6	198:128	198:128	NUM
ejpam-2911	311	7	-	-	PUNCT
ejpam-2911	311	8	137	137	NUM
ejpam-2911	311	9	,	,	PUNCT
ejpam-2911	311	10	2008	2008	NUM
ejpam-2911	311	11	.	.	PUNCT
ejpam-2911	312	1	[	[	X
ejpam-2911	312	2	9	9	NUM
ejpam-2911	312	3	]	]	X
ejpam-2911	312	4	lj	lj	PROPN
ejpam-2911	312	5	.	.	PROPN
ejpam-2911	312	6	b.ciric	b.ciric	PROPN
ejpam-2911	312	7	,	,	PUNCT
ejpam-2911	312	8	ume	ume	PROPN
ejpam-2911	312	9	,	,	PUNCT
ejpam-2911	312	10	j.	j.	PROPN
ejpam-2911	312	11	s.	s.	PROPN
ejpam-2911	312	12	m.	m.	PROPN
ejpam-2911	312	13	,	,	PUNCT
ejpam-2911	312	14	&	&	CCONJ
ejpam-2911	312	15	khan	khan	PROPN
ejpam-2911	312	16	,	,	PUNCT
ejpam-2911	312	17	s.	s.	PROPN
ejpam-2911	312	18	on	on	ADP
ejpam-2911	312	19	the	the	DET
ejpam-2911	312	20	convergence	convergence	NOUN
ejpam-2911	312	21	of	of	ADP
ejpam-2911	312	22	the	the	DET
ejpam-2911	312	23	ishikawa	ishikawa	PROPN
ejpam-2911	312	24	iterates	iterate	VERB
ejpam-2911	312	25	to	to	ADP
ejpam-2911	312	26	a	a	DET
ejpam-2911	312	27	common	common	ADJ
ejpam-2911	312	28	fixed	fix	VERB
ejpam-2911	312	29	point	point	NOUN
ejpam-2911	312	30	of	of	ADP
ejpam-2911	312	31	two	two	NUM
ejpam-2911	312	32	mappings	mapping	NOUN
ejpam-2911	312	33	.	.	PUNCT
ejpam-2911	313	1	archivum	archivum	PROPN
ejpam-2911	313	2	mathematicum	mathematicum	PROPN
ejpam-2911	313	3	(	(	PUNCT
ejpam-2911	313	4	brno	brno	NOUN
ejpam-2911	313	5	)	)	PUNCT
ejpam-2911	313	6	tomus	tomus	PROPN
ejpam-2911	313	7	,	,	PUNCT
ejpam-2911	313	8	39:123	39:123	NUM
ejpam-2911	313	9	-	-	SYM
ejpam-2911	313	10	127	127	NUM
ejpam-2911	313	11	,	,	PUNCT
ejpam-2911	313	12	2003	2003	NUM
ejpam-2911	313	13	.	.	PUNCT
ejpam-2911	314	1	[	[	X
ejpam-2911	314	2	10	10	NUM
ejpam-2911	314	3	]	]	X
ejpam-2911	314	4	c.o	c.o	PROPN
ejpam-2911	314	5	.	.	PROPN
ejpam-2911	314	6	imoru	imoru	PROPN
ejpam-2911	314	7	,	,	PUNCT
ejpam-2911	314	8	m.o	m.o	PROPN
ejpam-2911	314	9	.	.	PROPN
ejpam-2911	314	10	olantiwo	olantiwo	PROPN
ejpam-2911	314	11	.	.	PUNCT
ejpam-2911	315	1	on	on	ADP
ejpam-2911	315	2	the	the	DET
ejpam-2911	315	3	stability	stability	NOUN
ejpam-2911	315	4	of	of	ADP
ejpam-2911	315	5	picard	picard	PROPN
ejpam-2911	315	6	and	and	CCONJ
ejpam-2911	315	7	mann	mann	PROPN
ejpam-2911	315	8	iteration	iteration	NOUN
ejpam-2911	315	9	processes	process	NOUN
ejpam-2911	315	10	.	.	PUNCT
ejpam-2911	316	1	carpath	carpath	PROPN
ejpam-2911	316	2	.	.	PUNCT
ejpam-2911	317	1	j.	j.	PROPN
ejpam-2911	317	2	math	math	PROPN
ejpam-2911	317	3	.	.	PUNCT
ejpam-2911	318	1	19:155	19:155	NUM
ejpam-2911	318	2	-	-	SYM
ejpam-2911	318	3	160	160	NUM
ejpam-2911	318	4	,	,	PUNCT
ejpam-2911	318	5	2003	2003	NUM
ejpam-2911	318	6	.	.	PUNCT
ejpam-2911	319	1	[	[	X
ejpam-2911	319	2	11	11	NUM
ejpam-2911	319	3	]	]	X
ejpam-2911	319	4	a.r	a.r	PROPN
ejpam-2911	319	5	.	.	PROPN
ejpam-2911	319	6	khan	khan	PROPN
ejpam-2911	319	7	,	,	PUNCT
ejpam-2911	319	8	m.a	m.a	PROPN
ejpam-2911	319	9	.	.	PROPN
ejpam-2911	319	10	ahmed	ahmed	PROPN
ejpam-2911	319	11	.	.	PUNCT
ejpam-2911	320	1	convergence	convergence	NOUN
ejpam-2911	320	2	of	of	ADP
ejpam-2911	320	3	a	a	DET
ejpam-2911	320	4	general	general	ADJ
ejpam-2911	320	5	iterative	iterative	NOUN
ejpam-2911	320	6	scheme	scheme	NOUN
ejpam-2911	320	7	for	for	ADP
ejpam-2911	320	8	a	a	DET
ejpam-2911	320	9	finite	finite	ADJ
ejpam-2911	320	10	family	family	NOUN
ejpam-2911	320	11	of	of	ADP
ejpam-2911	320	12	asymptotically	asymptotically	ADV
ejpam-2911	320	13	quasi	quasi	ADJ
ejpam-2911	320	14	-	-	ADJ
ejpam-2911	320	15	nonexpansive	nonexpansive	ADJ
ejpam-2911	320	16	mappings	mapping	NOUN
ejpam-2911	320	17	in	in	ADP
ejpam-2911	320	18	convex	convex	ADJ
ejpam-2911	320	19	metric	metric	ADJ
ejpam-2911	320	20	spaces	space	NOUN
ejpam-2911	320	21	and	and	CCONJ
ejpam-2911	320	22	applications	application	NOUN
ejpam-2911	320	23	.	.	PUNCT
ejpam-2911	321	1	comput	comput	NOUN
ejpam-2911	321	2	.	.	PUNCT
ejpam-2911	322	1	math	math	NOUN
ejpam-2911	322	2	.	.	PUNCT
ejpam-2911	323	1	appl	appl	PROPN
ejpam-2911	323	2	.	.	PUNCT
ejpam-2911	324	1	59:2990	59:2990	NUM
ejpam-2911	324	2	-	-	SYM
ejpam-2911	324	3	2995	2995	NUM
ejpam-2911	324	4	,	,	PUNCT
ejpam-2911	324	5	2015	2015	NUM
ejpam-2911	324	6	.	.	PUNCT
ejpam-2911	325	1	[	[	X
ejpam-2911	325	2	12	12	NUM
ejpam-2911	325	3	]	]	X
ejpam-2911	325	4	s.h	s.h	PROPN
ejpam-2911	325	5	.	.	PROPN
ejpam-2911	325	6	khan	khan	PROPN
ejpam-2911	325	7	,	,	PUNCT
ejpam-2911	325	8	i.	i.	PROPN
ejpam-2911	325	9	yildirim	yildirim	PROPN
ejpam-2911	325	10	,	,	PUNCT
ejpam-2911	325	11	m.	m.	PROPN
ejpam-2911	325	12	ozdemir	ozdemir	PROPN
ejpam-2911	325	13	.	.	PUNCT
ejpam-2911	325	14	convergence	convergence	NOUN
ejpam-2911	325	15	of	of	ADP
ejpam-2911	325	16	an	an	DET
ejpam-2911	325	17	implicit	implicit	ADJ
ejpam-2911	325	18	algorithm	algorithm	NOUN
ejpam-2911	325	19	for	for	ADP
ejpam-2911	325	20	two	two	NUM
ejpam-2911	325	21	families	family	NOUN
ejpam-2911	325	22	of	of	ADP
ejpam-2911	325	23	nonexpansive	nonexpansive	ADJ
ejpam-2911	325	24	mappings	mapping	NOUN
ejpam-2911	325	25	.	.	PUNCT
ejpam-2911	326	1	comput	comput	NOUN
ejpam-2911	326	2	.	.	PUNCT
ejpam-2911	327	1	math	math	NOUN
ejpam-2911	327	2	.	.	PUNCT
ejpam-2911	328	1	appl	appl	PROPN
ejpam-2911	328	2	.	.	PUNCT
ejpam-2911	329	1	59:3084	59:3084	NUM
ejpam-2911	329	2	-	-	SYM
ejpam-2911	329	3	3091	3091	NUM
ejpam-2911	329	4	,	,	PUNCT
ejpam-2911	329	5	2010	2010	NUM
ejpam-2911	329	6	.	.	PUNCT
ejpam-2911	330	1	[	[	X
ejpam-2911	330	2	13	13	NUM
ejpam-2911	330	3	]	]	PUNCT
ejpam-2911	330	4	s.	s.	PROPN
ejpam-2911	330	5	h.	h.	PROPN
ejpam-2911	330	6	khan	khan	PROPN
ejpam-2911	330	7	.	.	PUNCT
ejpam-2911	331	1	common	common	ADJ
ejpam-2911	331	2	fixed	fix	VERB
ejpam-2911	331	3	points	point	NOUN
ejpam-2911	331	4	of	of	ADP
ejpam-2911	331	5	quasi	quasi	ADJ
ejpam-2911	331	6	-	-	ADJ
ejpam-2911	331	7	contractive	contractive	ADJ
ejpam-2911	331	8	type	type	NOUN
ejpam-2911	331	9	operators	operator	NOUN
ejpam-2911	331	10	by	by	ADP
ejpam-2911	331	11	a	a	DET
ejpam-2911	331	12	generalized	generalized	ADJ
ejpam-2911	331	13	iterative	iterative	NOUN
ejpam-2911	331	14	process	process	NOUN
ejpam-2911	331	15	.	.	PUNCT
ejpam-2911	332	1	iaeng	iaeng	PROPN
ejpam-2911	332	2	int	int	PROPN
ejpam-2911	332	3	.	.	PUNCT
ejpam-2911	333	1	j.	j.	PROPN
ejpam-2911	333	2	appl	appl	PROPN
ejpam-2911	333	3	.	.	PROPN
ejpam-2911	333	4	math	math	PROPN
ejpam-2911	333	5	.	.	PUNCT
ejpam-2911	333	6	,	,	PUNCT
ejpam-2911	333	7	41(3):260	41(3):260	PROPN
ejpam-2911	333	8	-	-	SYM
ejpam-2911	333	9	264	264	NUM
ejpam-2911	333	10	,	,	PUNCT
ejpam-2911	333	11	2011	2011	NUM
ejpam-2911	333	12	.	.	PUNCT
ejpam-2911	334	1	[	[	X
ejpam-2911	334	2	14	14	NUM
ejpam-2911	334	3	]	]	PUNCT
ejpam-2911	334	4	j.	j.	PROPN
ejpam-2911	334	5	k.	k.	PROPN
ejpam-2911	334	6	kim	kim	PROPN
ejpam-2911	334	7	,	,	PUNCT
ejpam-2911	334	8	k.	k.	PROPN
ejpam-2911	334	9	s.	s.	PROPN
ejpam-2911	334	10	kim	kim	PROPN
ejpam-2911	334	11	,	,	PUNCT
ejpam-2911	334	12	s.	s.	PROPN
ejpam-2911	334	13	m.	m.	PROPN
ejpam-2911	334	14	kim	kim	PROPN
ejpam-2911	334	15	.	.	PUNCT
ejpam-2911	335	1	convergence	convergence	NOUN
ejpam-2911	335	2	theorems	theorem	NOUN
ejpam-2911	335	3	of	of	ADP
ejpam-2911	335	4	implicit	implicit	ADJ
ejpam-2911	335	5	iteration	iteration	NOUN
ejpam-2911	335	6	process	process	NOUN
ejpam-2911	335	7	for	for	ADP
ejpam-2911	335	8	for	for	ADP
ejpam-2911	335	9	finite	finite	ADJ
ejpam-2911	335	10	family	family	NOUN
ejpam-2911	335	11	of	of	ADP
ejpam-2911	335	12	asymptotically	asymptotically	ADV
ejpam-2911	335	13	quasi	quasi	ADJ
ejpam-2911	335	14	-	-	ADJ
ejpam-2911	335	15	nonexpansive	nonexpansive	ADJ
ejpam-2911	335	16	mappings	mapping	NOUN
ejpam-2911	335	17	in	in	ADP
ejpam-2911	335	18	convex	convex	ADJ
ejpam-2911	335	19	metric	metric	ADJ
ejpam-2911	335	20	space	space	NOUN
ejpam-2911	335	21	.	.	PUNCT
ejpam-2911	336	1	nonlinear	nonlinear	ADJ
ejpam-2911	336	2	analysis	analysis	NOUN
ejpam-2911	336	3	and	and	CCONJ
ejpam-2911	336	4	convex	convex	ADJ
ejpam-2911	336	5	analysis	analysis	NOUN
ejpam-2911	336	6	,	,	PUNCT
ejpam-2911	336	7	1484:40	1484:40	NUM
ejpam-2911	336	8	-	-	SYM
ejpam-2911	336	9	51	51	NUM
ejpam-2911	336	10	,	,	PUNCT
ejpam-2911	336	11	2006	2006	NUM
ejpam-2911	336	12	.	.	PUNCT
ejpam-2911	337	1	[	[	X
ejpam-2911	337	2	15	15	NUM
ejpam-2911	337	3	]	]	X
ejpam-2911	337	4	u.	u.	NOUN
ejpam-2911	337	5	kohlenbach	kohlenbach	PROPN
ejpam-2911	337	6	.	.	PUNCT
ejpam-2911	338	1	some	some	DET
ejpam-2911	338	2	logical	logical	ADJ
ejpam-2911	338	3	metatherems	metatherem	NOUN
ejpam-2911	338	4	with	with	ADP
ejpam-2911	338	5	applications	application	NOUN
ejpam-2911	338	6	in	in	ADP
ejpam-2911	338	7	functional	functional	ADJ
ejpam-2911	338	8	analysis	analysis	NOUN
ejpam-2911	338	9	.	.	PUNCT
ejpam-2911	339	1	transactions	transaction	NOUN
ejpam-2911	339	2	of	of	ADP
ejpam-2911	339	3	the	the	DET
ejpam-2911	339	4	american	american	PROPN
ejpam-2911	339	5	mathematical	mathematical	PROPN
ejpam-2911	339	6	society	society	NOUN
ejpam-2911	339	7	,	,	PUNCT
ejpam-2911	339	8	357:89	357:89	PROPN
ejpam-2911	339	9	-	-	SYM
ejpam-2911	339	10	128	128	NUM
ejpam-2911	339	11	,	,	PUNCT
ejpam-2911	339	12	2004	2004	NUM
ejpam-2911	339	13	.	.	PUNCT
ejpam-2911	340	1	references	reference	NOUN
ejpam-2911	340	2	201	201	NUM
ejpam-2911	340	3	[	[	X
ejpam-2911	340	4	16	16	NUM
ejpam-2911	340	5	]	]	X
ejpam-2911	340	6	q.y	q.y	PROPN
ejpam-2911	340	7	.	.	PUNCT
ejpam-2911	340	8	liu	liu	PROPN
ejpam-2911	340	9	,	,	PUNCT
ejpam-2911	340	10	z.b	z.b	PROPN
ejpam-2911	340	11	.	.	PROPN
ejpam-2911	340	12	liu	liu	PROPN
ejpam-2911	340	13	,	,	PUNCT
ejpam-2911	340	14	n.j	n.j	PROPN
ejpam-2911	340	15	.	.	PROPN
ejpam-2911	340	16	huang	huang	PROPN
ejpam-2911	340	17	.	.	PUNCT
ejpam-2911	341	1	approximating	approximate	VERB
ejpam-2911	341	2	the	the	DET
ejpam-2911	341	3	common	common	ADJ
ejpam-2911	341	4	fixed	fix	VERB
ejpam-2911	341	5	points	point	NOUN
ejpam-2911	341	6	of	of	ADP
ejpam-2911	341	7	two	two	NUM
ejpam-2911	341	8	sequences	sequence	NOUN
ejpam-2911	341	9	of	of	ADP
ejpam-2911	341	10	uniformly	uniformly	ADV
ejpam-2911	341	11	quasi	quasi	ADJ
ejpam-2911	341	12	-	-	ADJ
ejpam-2911	341	13	lipschitzian	lipschitzian	ADJ
ejpam-2911	341	14	mappings	mapping	NOUN
ejpam-2911	341	15	in	in	ADP
ejpam-2911	341	16	convex	convex	ADJ
ejpam-2911	341	17	metric	metric	ADJ
ejpam-2911	341	18	spaces	space	NOUN
ejpam-2911	341	19	.	.	PUNCT
ejpam-2911	342	1	appl	appl	PROPN
ejpam-2911	342	2	.	.	PROPN
ejpam-2911	342	3	math	math	PROPN
ejpam-2911	342	4	.	.	PUNCT
ejpam-2911	343	1	comp	comp	PROPN
ejpam-2911	343	2	.	.	PUNCT
ejpam-2911	344	1	216:883	216:883	NUM
ejpam-2911	344	2	-	-	PUNCT
ejpam-2911	344	3	889	889	NUM
ejpam-2911	344	4	,	,	PUNCT
ejpam-2911	344	5	2010	2010	NUM
ejpam-2911	344	6	.	.	PUNCT
ejpam-2911	345	1	[	[	X
ejpam-2911	345	2	17	17	NUM
ejpam-2911	345	3	]	]	X
ejpam-2911	345	4	m.o	m.o	PROPN
ejpam-2911	345	5	.	.	PROPN
ejpam-2911	345	6	osilike	osilike	PROPN
ejpam-2911	345	7	,	,	PUNCT
ejpam-2911	345	8	a.	a.	NOUN
ejpam-2911	345	9	udomene	udomene	PROPN
ejpam-2911	345	10	.	.	PUNCT
ejpam-2911	346	1	short	short	ADJ
ejpam-2911	346	2	proofs	proof	NOUN
ejpam-2911	346	3	of	of	ADP
ejpam-2911	346	4	stability	stability	NOUN
ejpam-2911	346	5	results	result	NOUN
ejpam-2911	346	6	for	for	ADP
ejpam-2911	346	7	fixed	fix	VERB
ejpam-2911	346	8	point	point	NOUN
ejpam-2911	346	9	iteration	iteration	NOUN
ejpam-2911	346	10	procedures	procedure	NOUN
ejpam-2911	346	11	for	for	ADP
ejpam-2911	346	12	a	a	DET
ejpam-2911	346	13	class	class	NOUN
ejpam-2911	346	14	of	of	ADP
ejpam-2911	346	15	contractive	contractive	ADJ
ejpam-2911	346	16	-	-	PUNCT
ejpam-2911	346	17	type	type	NOUN
ejpam-2911	346	18	mappings	mapping	NOUN
ejpam-2911	346	19	.	.	PUNCT
ejpam-2911	347	1	indian	indian	PROPN
ejpam-2911	347	2	j.	j.	PROPN
ejpam-2911	347	3	pure	pure	PROPN
ejpam-2911	347	4	appl	appl	PROPN
ejpam-2911	347	5	.	.	PUNCT
ejpam-2911	347	6	math	math	NOUN
ejpam-2911	347	7	.	.	PUNCT
ejpam-2911	348	1	30:1229	30:1229	NUM
ejpam-2911	348	2	-	-	SYM
ejpam-2911	348	3	1234	1234	NUM
ejpam-2911	348	4	,	,	PUNCT
ejpam-2911	348	5	1999	1999	NUM
ejpam-2911	348	6	.	.	PUNCT
ejpam-2911	349	1	[	[	X
ejpam-2911	349	2	18	18	NUM
ejpam-2911	349	3	]	]	X
ejpam-2911	349	4	s.m	s.m	PROPN
ejpam-2911	349	5	.	.	PROPN
ejpam-2911	349	6	şoltuz	şoltuz	PROPN
ejpam-2911	349	7	,	,	PUNCT
ejpam-2911	350	1	t.	t.	PROPN
ejpam-2911	350	2	grosan	grosan	PROPN
ejpam-2911	350	3	.	.	PUNCT
ejpam-2911	350	4	data	datum	NOUN
ejpam-2911	350	5	dependence	dependence	NOUN
ejpam-2911	350	6	for	for	ADP
ejpam-2911	350	7	ishikawa	ishikawa	PROPN
ejpam-2911	350	8	iteration	iteration	NOUN
ejpam-2911	350	9	when	when	SCONJ
ejpam-2911	350	10	dealing	deal	VERB
ejpam-2911	350	11	with	with	ADP
ejpam-2911	350	12	contractive	contractive	ADJ
ejpam-2911	350	13	like	like	ADP
ejpam-2911	350	14	operators	operator	NOUN
ejpam-2911	350	15	.	.	PUNCT
ejpam-2911	351	1	fixed	fix	VERB
ejpam-2911	351	2	point	point	NOUN
ejpam-2911	351	3	theory	theory	NOUN
ejpam-2911	351	4	appl	appl	PROPN
ejpam-2911	351	5	.	.	PUNCT
ejpam-2911	352	1	article	article	NOUN
ejpam-2911	352	2	i	i	PROPN
ejpam-2911	352	3	d	d	PROPN
ejpam-2911	352	4	242916	242916	NUM
ejpam-2911	352	5	(	(	PUNCT
ejpam-2911	352	6	2008	2008	NUM
ejpam-2911	352	7	)	)	PUNCT
ejpam-2911	352	8	.	.	PUNCT
ejpam-2911	353	1	doi:10.1155/2008/242916	doi:10.1155/2008/242916	PROPN
ejpam-2911	353	2	,	,	PUNCT
ejpam-2911	353	3	2008	2008	NUM
ejpam-2911	353	4	.	.	PUNCT
ejpam-2911	354	1	[	[	X
ejpam-2911	354	2	19	19	NUM
ejpam-2911	354	3	]	]	X
ejpam-2911	354	4	w.	w.	PROPN
ejpam-2911	354	5	takahashi	takahashi	PROPN
ejpam-2911	354	6	.	.	PUNCT
ejpam-2911	355	1	a	a	DET
ejpam-2911	355	2	convexity	convexity	NOUN
ejpam-2911	355	3	in	in	ADP
ejpam-2911	355	4	metric	metric	ADJ
ejpam-2911	355	5	space	space	NOUN
ejpam-2911	355	6	and	and	CCONJ
ejpam-2911	355	7	nonexpansive	nonexpansive	ADJ
ejpam-2911	355	8	mappings	mapping	NOUN
ejpam-2911	355	9	.	.	PUNCT
ejpam-2911	356	1	kodai	kodai	PROPN
ejpam-2911	356	2	math	math	PROPN
ejpam-2911	356	3	.	.	PUNCT
ejpam-2911	357	1	sem	sem	PROPN
ejpam-2911	357	2	.	.	PUNCT
ejpam-2911	358	1	rep	rep	PROPN
ejpam-2911	358	2	.	.	PROPN
ejpam-2911	358	3	22:142	22:142	NUM
ejpam-2911	358	4	-	-	SYM
ejpam-2911	358	5	149	149	NUM
ejpam-2911	358	6	,	,	PUNCT
ejpam-2911	358	7	1970	1970	NUM
ejpam-2911	358	8	.	.	PUNCT
ejpam-2911	359	1	[	[	X
ejpam-2911	359	2	20	20	NUM
ejpam-2911	359	3	]	]	X
ejpam-2911	359	4	i.	i.	PROPN
ejpam-2911	359	5	yildirim	yildirim	PROPN
ejpam-2911	359	6	,	,	PUNCT
ejpam-2911	359	7	s.	s.	PROPN
ejpam-2911	359	8	h.	h.	PROPN
ejpam-2911	359	9	khan	khan	PROPN
ejpam-2911	359	10	.	.	PUNCT
ejpam-2911	360	1	convergence	convergence	NOUN
ejpam-2911	360	2	theorems	theorem	NOUN
ejpam-2911	360	3	for	for	ADP
ejpam-2911	360	4	common	common	ADJ
ejpam-2911	360	5	fixed	fix	VERB
ejpam-2911	360	6	points	point	NOUN
ejpam-2911	360	7	of	of	ADP
ejpam-2911	360	8	asymptotically	asymptotically	ADV
ejpam-2911	360	9	quasi	quasi	ADJ
ejpam-2911	360	10	-	-	ADJ
ejpam-2911	360	11	nonexpansive	nonexpansive	ADJ
ejpam-2911	360	12	mappings	mapping	NOUN
ejpam-2911	360	13	in	in	ADP
ejpam-2911	360	14	convex	convex	ADJ
ejpam-2911	360	15	metric	metric	ADJ
ejpam-2911	360	16	spaces	space	NOUN
ejpam-2911	360	17	.	.	PUNCT
ejpam-2911	361	1	applied	apply	VERB
ejpam-2911	361	2	mathematics	mathematic	NOUN
ejpam-2911	361	3	and	and	CCONJ
ejpam-2911	361	4	computation	computation	NOUN
ejpam-2911	361	5	,	,	PUNCT
ejpam-2911	361	6	218(9):4860	218(9):4860	PROPN
ejpam-2911	361	7	-	-	NOUN
ejpam-2911	361	8	4866	4866	NUM
ejpam-2911	361	9	,	,	PUNCT
ejpam-2911	361	10	2012	2012	NUM
ejpam-2911	361	11	.	.	PUNCT
ejpam-2911	362	1	[	[	X
ejpam-2911	362	2	21	21	NUM
ejpam-2911	362	3	]	]	PUNCT
ejpam-2911	362	4	t.	t.	PROPN
ejpam-2911	362	5	zamfirescu	zamfirescu	PROPN
ejpam-2911	362	6	.	.	PUNCT
ejpam-2911	363	1	fix	fix	NOUN
ejpam-2911	363	2	point	point	NOUN
ejpam-2911	363	3	theorems	theorem	NOUN
ejpam-2911	363	4	in	in	ADP
ejpam-2911	363	5	metric	metric	ADJ
ejpam-2911	363	6	spaces	space	NOUN
ejpam-2911	363	7	.	.	PUNCT
ejpam-2911	364	1	arch	arch	NOUN
ejpam-2911	364	2	.	.	PUNCT
ejpam-2911	365	1	math	math	NOUN
ejpam-2911	365	2	.	.	PUNCT
ejpam-2911	366	1	23:292	23:292	NUM
ejpam-2911	366	2	-	-	SYM
ejpam-2911	366	3	298	298	NUM
ejpam-2911	366	4	,	,	PUNCT
ejpam-2911	366	5	1972	1972	NUM
ejpam-2911	366	6	.	.	PUNCT