id	sid	tid	token	lemma	pos
iajs-2146	1	1	81	81	NUM
iajs-2146	1	2	ibn	ibn	PROPN
iajs-2146	1	3	al	al	PROPN
iajs-2146	1	4	-	-	PUNCT
iajs-2146	1	5	haitham	haitham	PROPN
iajs-2146	1	6	jour	jour	X
iajs-2146	1	7	.	.	PROPN
iajs-2146	1	8	for	for	ADP
iajs-2146	1	9	pure	pure	ADJ
iajs-2146	1	10	&	&	CCONJ
iajs-2146	1	11	appl	appl	PROPN
iajs-2146	1	12	.	.	PUNCT
iajs-2146	2	1	sci	sci	PROPN
iajs-2146	2	2	.	.	PROPN
iajs-2146	2	3	32	32	NUM
iajs-2146	2	4	(	(	PUNCT
iajs-2146	2	5	2	2	NUM
iajs-2146	2	6	)	)	PUNCT
iajs-2146	2	7	2019	2019	NUM
iajs-2146	2	8	abstract	abstract	NOUN
iajs-2146	2	9	some	some	DET
iajs-2146	2	10	cases	case	NOUN
iajs-2146	2	11	of	of	ADP
iajs-2146	2	12	common	common	ADJ
iajs-2146	2	13	fixed	fix	VERB
iajs-2146	2	14	point	point	NOUN
iajs-2146	2	15	theory	theory	NOUN
iajs-2146	2	16	for	for	ADP
iajs-2146	2	17	classes	class	NOUN
iajs-2146	2	18	of	of	ADP
iajs-2146	2	19	generalized	generalized	ADJ
iajs-2146	2	20	nonexpansive	nonexpansive	ADJ
iajs-2146	2	21	maps	map	NOUN
iajs-2146	2	22	are	be	AUX
iajs-2146	2	23	studied	study	VERB
iajs-2146	2	24	.	.	PUNCT
iajs-2146	3	1	also	also	ADV
iajs-2146	3	2	,	,	PUNCT
iajs-2146	3	3	we	we	PRON
iajs-2146	3	4	show	show	VERB
iajs-2146	3	5	that	that	SCONJ
iajs-2146	3	6	the	the	DET
iajs-2146	3	7	picard	picard	NOUN
iajs-2146	3	8	-	-	PUNCT
iajs-2146	3	9	mann	mann	PROPN
iajs-2146	3	10	scheme	scheme	NOUN
iajs-2146	3	11	can	can	AUX
iajs-2146	3	12	be	be	AUX
iajs-2146	3	13	employed	employ	VERB
iajs-2146	3	14	to	to	PART
iajs-2146	3	15	approximate	approximate	VERB
iajs-2146	3	16	the	the	DET
iajs-2146	3	17	unique	unique	ADJ
iajs-2146	3	18	solution	solution	NOUN
iajs-2146	3	19	of	of	ADP
iajs-2146	3	20	a	a	DET
iajs-2146	3	21	mixed	mixed	ADJ
iajs-2146	3	22	-	-	PUNCT
iajs-2146	3	23	type	type	NOUN
iajs-2146	3	24	volterra	volterra	NOUN
iajs-2146	3	25	-	-	PUNCT
iajs-2146	3	26	fredholm	fredholm	NOUN
iajs-2146	3	27	functional	functional	ADJ
iajs-2146	3	28	nonlinear	nonlinear	ADJ
iajs-2146	3	29	integral	integral	ADJ
iajs-2146	3	30	equation	equation	NOUN
iajs-2146	3	31	.	.	PUNCT
iajs-2146	4	1	keywords	keyword	NOUN
iajs-2146	4	2	:	:	PUNCT
iajs-2146	4	3	banach	banach	NOUN
iajs-2146	4	4	space	space	NOUN
iajs-2146	4	5	,	,	PUNCT
iajs-2146	4	6	common	common	ADJ
iajs-2146	4	7	fixed	fix	VERB
iajs-2146	4	8	point	point	NOUN
iajs-2146	4	9	,	,	PUNCT
iajs-2146	4	10	strong	strong	ADJ
iajs-2146	4	11	convergence	convergence	NOUN
iajs-2146	4	12	,	,	PUNCT
iajs-2146	4	13	condition	condition	NOUN
iajs-2146	4	14	(	(	PUNCT
iajs-2146	4	15	)	)	PUNCT
iajs-2146	4	16	.	.	PUNCT
iajs-2146	5	1	1	1	X
iajs-2146	5	2	.	.	X
iajs-2146	5	3	introduction	introduction	NOUN
iajs-2146	5	4	let	let	VERB
iajs-2146	5	5	b	b	X
iajs-2146	5	6	be	be	AUX
iajs-2146	5	7	a	a	DET
iajs-2146	5	8	non	non	ADJ
iajs-2146	5	9	-	-	ADJ
iajs-2146	5	10	empty	empty	ADJ
iajs-2146	5	11	subset	subset	NOUN
iajs-2146	5	12	of	of	ADP
iajs-2146	5	13	a	a	DET
iajs-2146	5	14	banach	banach	NOUN
iajs-2146	5	15	space	space	NOUN
iajs-2146	5	16	m.	m.	NOUN
iajs-2146	5	17	a	a	DET
iajs-2146	5	18	map	map	NOUN
iajs-2146	5	19	t	t	NOUN
iajs-2146	5	20	on	on	ADP
iajs-2146	5	21	b	b	PROPN
iajs-2146	5	22	is	be	AUX
iajs-2146	5	23	called	call	VERB
iajs-2146	5	24	quasinonexpansive	quasinonexpansive	ADJ
iajs-2146	5	25	[	[	X
iajs-2146	5	26	1	1	NUM
iajs-2146	5	27	]	]	PUNCT
iajs-2146	5	28	.	.	PUNCT
iajs-2146	6	1	if	if	SCONJ
iajs-2146	6	2	(	(	PUNCT
iajs-2146	6	3	)	)	PUNCT
iajs-2146	6	4	‖	‖	PROPN
iajs-2146	6	5	‖	‖	PROPN
iajs-2146	6	6	‖	‖	PROPN
iajs-2146	6	7	‖	‖	PROPN
iajs-2146	6	8	(	(	PUNCT
iajs-2146	6	9	)	)	PUNCT
iajs-2146	6	10	where	where	SCONJ
iajs-2146	6	11	(	(	PUNCT
iajs-2146	6	12	)	)	PUNCT
iajs-2146	6	13	denoted	denote	VERB
iajs-2146	6	14	the	the	DET
iajs-2146	6	15	set	set	NOUN
iajs-2146	6	16	of	of	ADP
iajs-2146	6	17	all	all	DET
iajs-2146	6	18	fixed	fix	VERB
iajs-2146	6	19	points	point	NOUN
iajs-2146	6	20	of	of	ADP
iajs-2146	6	21	t.	t.	PROPN
iajs-2146	6	22	in	in	ADP
iajs-2146	6	23	2008	2008	NUM
iajs-2146	6	24	,	,	PUNCT
iajs-2146	6	25	suzuki	suzuki	X
iajs-2146	7	1	[	[	X
iajs-2146	7	2	2	2	NUM
iajs-2146	7	3	]	]	PUNCT
iajs-2146	7	4	.	.	PUNCT
iajs-2146	8	1	introduced	introduce	VERB
iajs-2146	8	2	a	a	DET
iajs-2146	8	3	condition	condition	NOUN
iajs-2146	8	4	on	on	ADP
iajs-2146	8	5	t	t	PROPN
iajs-2146	8	6	which	which	PRON
iajs-2146	8	7	is	be	AUX
iajs-2146	8	8	stronger	strong	ADJ
iajs-2146	8	9	than	than	ADP
iajs-2146	8	10	quasi	quasi	ADJ
iajs-2146	8	11	-	-	ADJ
iajs-2146	8	12	nonexpansive	nonexpansive	ADJ
iajs-2146	8	13	and	and	CCONJ
iajs-2146	8	14	weaker	weak	ADJ
iajs-2146	8	15	than	than	ADP
iajs-2146	8	16	nonexpansive	nonexpansive	ADJ
iajs-2146	8	17	,	,	PUNCT
iajs-2146	8	18	called	call	VERB
iajs-2146	8	19	condition	condition	NOUN
iajs-2146	8	20	(	(	PUNCT
iajs-2146	8	21	)	)	PUNCT
iajs-2146	8	22	and	and	CCONJ
iajs-2146	8	23	presented	present	VERB
iajs-2146	8	24	some	some	DET
iajs-2146	8	25	results	result	NOUN
iajs-2146	8	26	about	about	ADP
iajs-2146	8	27	fa	fa	NOUN
iajs-2146	8	28	fixed	fix	VERB
iajs-2146	8	29	pointfor	pointfor	ADP
iajs-2146	8	30	such	such	ADJ
iajs-2146	8	31	maps	map	NOUN
iajs-2146	8	32	.	.	PUNCT
iajs-2146	9	1	in	in	ADP
iajs-2146	9	2	2009	2009	NUM
iajs-2146	9	3	,	,	PUNCT
iajs-2146	9	4	dhompongsa	dhompongsa	VERB
iajs-2146	9	5	et	et	PROPN
iajs-2146	9	6	al	al	PROPN
iajs-2146	10	1	[	[	X
iajs-2146	10	2	3	3	NUM
iajs-2146	10	3	]	]	PUNCT
iajs-2146	10	4	.	.	PUNCT
iajs-2146	11	1	extended	extended	ADJ
iajs-2146	11	2	suzaicr	suzaicr	NOUN
iajs-2146	11	3	’s	’s	PART
iajs-2146	11	4	theorems	theorem	NOUN
iajs-2146	11	5	to	to	ADP
iajs-2146	11	6	the	the	DET
iajs-2146	11	7	general	general	ADJ
iajs-2146	11	8	class	class	NOUN
iajs-2146	11	9	of	of	ADP
iajs-2146	11	10	maps	map	NOUN
iajs-2146	11	11	in	in	ADP
iajs-2146	11	12	banach	banach	NOUN
iajs-2146	11	13	spaces	space	NOUN
iajs-2146	11	14	.	.	PUNCT
iajs-2146	12	1	garcial	garcial	ADJ
iajs-2146	12	2	-	-	PUNCT
iajs-2146	12	3	falset	falset	NOUN
iajs-2146	12	4	et	et	NOUN
iajs-2146	12	5	al	al	PROPN
iajs-2146	13	1	[	[	X
iajs-2146	13	2	4	4	NUM
iajs-2146	13	3	]	]	PUNCT
iajs-2146	13	4	.	.	PUNCT
iajs-2146	14	1	defined	define	VERB
iajs-2146	14	2	two	two	NUM
iajs-2146	14	3	generalization	generalization	NOUN
iajs-2146	14	4	of	of	ADP
iajs-2146	14	5	condition	condition	NOUN
iajs-2146	14	6	(	(	PUNCT
iajs-2146	14	7	)	)	PUNCT
iajs-2146	14	8	,	,	PUNCT
iajs-2146	14	9	called	call	VERB
iajs-2146	14	10	condition	condition	NOUN
iajs-2146	14	11	(	(	PUNCT
iajs-2146	14	12	)	)	PUNCT
iajs-2146	14	13	and	and	CCONJ
iajs-2146	14	14	condition	condition	NOUN
iajs-2146	14	15	(	(	PUNCT
iajs-2146	14	16	)	)	PUNCT
iajs-2146	14	17	and	and	CCONJ
iajs-2146	14	18	studied	study	VERB
iajs-2146	14	19	their	their	PRON
iajs-2146	14	20	asymptotic	asymptotic	ADJ
iajs-2146	14	21	behavior	behavior	NOUN
iajs-2146	14	22	as	as	ADV
iajs-2146	14	23	well	well	ADV
iajs-2146	14	24	as	as	ADP
iajs-2146	14	25	the	the	DET
iajs-2146	14	26	existence	existence	NOUN
iajs-2146	14	27	of	of	ADP
iajs-2146	14	28	fixed	fix	VERB
iajs-2146	14	29	points	point	NOUN
iajs-2146	14	30	.	.	PUNCT
iajs-2146	15	1	on	on	ADP
iajs-2146	15	2	the	the	DET
iajs-2146	15	3	other	other	ADJ
iajs-2146	15	4	hand	hand	NOUN
iajs-2146	15	5	,	,	PUNCT
iajs-2146	15	6	bruck	bruck	NOUN
iajs-2146	15	7	[	[	X
iajs-2146	15	8	5	5	NUM
iajs-2146	15	9	]	]	PUNCT
iajs-2146	15	10	.	.	PUNCT
iajs-2146	16	1	introduced	introduce	VERB
iajs-2146	16	2	a	a	DET
iajs-2146	16	3	map	map	NOUN
iajs-2146	16	4	called	call	VERB
iajs-2146	16	5	firmly	firmly	ADV
iajs-2146	16	6	nonexpansive	nonexpansive	ADJ
iajs-2146	16	7	map	map	NOUN
iajs-2146	16	8	in	in	ADP
iajs-2146	16	9	banach	banach	NOUN
iajs-2146	16	10	space	space	NOUN
iajs-2146	16	11	.	.	PUNCT
iajs-2146	17	1	of	of	ADP
iajs-2146	17	2	course	course	NOUN
iajs-2146	17	3	,	,	PUNCT
iajs-2146	17	4	every	every	DET
iajs-2146	17	5	firmly	firmly	ADV
iajs-2146	17	6	nonexpansive	nonexpansive	ADJ
iajs-2146	17	7	is	be	AUX
iajs-2146	17	8	nonexpansive	nonexpansive	ADJ
iajs-2146	17	9	.	.	PUNCT
iajs-2146	18	1	to	to	PART
iajs-2146	18	2	discuss	discuss	VERB
iajs-2146	18	3	about	about	ADP
iajs-2146	18	4	convergence	convergence	NOUN
iajs-2146	18	5	theorem	theorem	VERB
iajs-2146	18	6	for	for	ADP
iajs-2146	18	7	two	two	NUM
iajs-2146	18	8	nonexpansive	nonexpansive	ADJ
iajs-2146	18	9	maps	map	NOUN
iajs-2146	18	10	s	s	PART
iajs-2146	18	11	and	and	CCONJ
iajs-2146	18	12	t	t	PROPN
iajs-2146	18	13	on	on	ADP
iajs-2146	18	14	b	b	NOUN
iajs-2146	18	15	to	to	ADP
iajs-2146	18	16	itself	itself	PRON
iajs-2146	18	17	,	,	PUNCT
iajs-2146	18	18	khan	khan	PROPN
iajs-2146	18	19	and	and	CCONJ
iajs-2146	18	20	kim	kim	PROPN
iajs-2146	19	1	[	[	X
iajs-2146	19	2	6	6	NUM
iajs-2146	19	3	]	]	PUNCT
iajs-2146	19	4	.	.	PUNCT
iajs-2146	20	1	constricted	constrict	VERB
iajs-2146	20	2	the	the	DET
iajs-2146	20	3	following	follow	VERB
iajs-2146	20	4	iterative	iterative	NOUN
iajs-2146	20	5	scheme	scheme	NOUN
iajs-2146	20	6	to	to	PART
iajs-2146	20	7	find	find	VERB
iajs-2146	20	8	a	a	DET
iajs-2146	20	9	common	common	ADJ
iajs-2146	20	10	fixed	fix	VERB
iajs-2146	20	11	point	point	NOUN
iajs-2146	20	12	of	of	ADP
iajs-2146	20	13	s	s	PRON
iajs-2146	20	14	and	and	CCONJ
iajs-2146	20	15	t	t	PROPN
iajs-2146	20	16	:	:	PUNCT
iajs-2146	20	17	(	(	PUNCT
iajs-2146	20	18	)	)	PUNCT
iajs-2146	20	19	(	(	PUNCT
iajs-2146	20	20	)	)	PUNCT
iajs-2146	20	21	where	where	SCONJ
iajs-2146	20	22	(	(	PUNCT
iajs-2146	20	23	)	)	PUNCT
iajs-2146	20	24	(	(	PUNCT
iajs-2146	20	25	)	)	PUNCT
iajs-2146	20	26	(	(	PUNCT
iajs-2146	20	27	)	)	PUNCT
iajs-2146	20	28	this	this	DET
iajs-2146	20	29	scheme	scheme	NOUN
iajs-2146	20	30	is	be	AUX
iajs-2146	20	31	independent	independent	ADJ
iajs-2146	20	32	of	of	ADP
iajs-2146	20	33	both	both	DET
iajs-2146	20	34	ishikawa	ishikawa	PROPN
iajs-2146	20	35	scheme	scheme	NOUN
iajs-2146	20	36	and	and	CCONJ
iajs-2146	20	37	yao	yao	PROPN
iajs-2146	20	38	-	-	PUNCT
iajs-2146	20	39	chen	chen	PROPN
iajs-2146	20	40	scheme	scheme	NOUN
iajs-2146	21	1	[	[	X
iajs-2146	21	2	6	6	NUM
iajs-2146	21	3	]	]	PUNCT
iajs-2146	21	4	.	.	PUNCT
iajs-2146	22	1	ibn	ibn	PROPN
iajs-2146	22	2	al	al	PROPN
iajs-2146	22	3	haitham	haitham	PROPN
iajs-2146	22	4	journal	journal	PROPN
iajs-2146	22	5	for	for	ADP
iajs-2146	22	6	pure	pure	ADJ
iajs-2146	22	7	and	and	CCONJ
iajs-2146	22	8	applied	apply	VERB
iajs-2146	22	9	science	science	NOUN
iajs-2146	22	10	journal	journal	PROPN
iajs-2146	22	11	homepage	homepage	NOUN
iajs-2146	22	12	:	:	PUNCT
iajs-2146	22	13	http://jih.uobaghdad.edu.iq/index.php/j/index	http://jih.uobaghdad.edu.iq/index.php/j/index	NOUN
iajs-2146	22	14	convergence	convergence	NOUN
iajs-2146	22	15	comparison	comparison	NOUN
iajs-2146	22	16	of	of	ADP
iajs-2146	22	17	two	two	NUM
iajs-2146	22	18	schemes	scheme	NOUN
iajs-2146	22	19	for	for	ADP
iajs-2146	22	20	common	common	ADJ
iajs-2146	22	21	fixed	fix	VERB
iajs-2146	22	22	points	point	NOUN
iajs-2146	22	23	with	with	ADP
iajs-2146	22	24	an	an	DET
iajs-2146	22	25	application	application	NOUN
iajs-2146	22	26	department	department	NOUN
iajs-2146	22	27	of	of	ADP
iajs-2146	22	28	mathematics	mathematics	PROPN
iajs-2146	22	29	,	,	PUNCT
iajs-2146	22	30	college	college	NOUN
iajs-2146	22	31	of	of	ADP
iajs-2146	22	32	education	education	NOUN
iajs-2146	22	33	for	for	ADP
iajs-2146	22	34	pure	pure	ADJ
iajs-2146	22	35	sciences	science	NOUN
iajs-2146	22	36	ibn	ibn	PROPN
iajs-2146	22	37	al	al	PROPN
iajs-2146	22	38	-	-	PUNCT
iajs-2146	22	39	haitham	haitham	PROPN
iajs-2146	22	40	,	,	PUNCT
iajs-2146	22	41	university	university	PROPN
iajs-2146	22	42	of	of	ADP
iajs-2146	22	43	baghdad	baghdad	PROPN
iajs-2146	22	44	,	,	PUNCT
iajs-2146	22	45	baghdad	baghdad	PROPN
iajs-2146	22	46	,	,	PUNCT
iajs-2146	22	47	iraq	iraq	PROPN
iajs-2146	22	48	.	.	PUNCT
iajs-2146	23	1	salwa	salwa	PROPN
iajs-2146	23	2	salman	salman	PROPN
iajs-2146	23	3	abed	abed	PROPN
iajs-2146	23	4	zahra	zahra	PROPN
iajs-2146	23	5	mahmood	mahmood	PROPN
iajs-2146	23	6	mohamed	mohamed	PROPN
iajs-2146	23	7	hasan	hasan	PROPN
iajs-2146	24	1	salwaalbundi@yahoo.com	salwaalbundi@yahoo.com	PROPN
iajs-2146	24	2	zahramoh1990@gmail.com	zahramoh1990@gmail.com	PROPN
iajs-2146	25	1	article	article	NOUN
iajs-2146	25	2	history	history	NOUN
iajs-2146	25	3	:	:	PUNCT
iajs-2146	25	4	received	receive	VERB
iajs-2146	25	5	13	13	NUM
iajs-2146	25	6	novrmber	novrmber	ADJ
iajs-2146	25	7	2018	2018	NUM
iajs-2146	25	8	,	,	PUNCT
iajs-2146	25	9	accepted	accept	VERB
iajs-2146	25	10	11	11	NUM
iajs-2146	25	11	december	december	PROPN
iajs-2146	25	12	2018	2018	NUM
iajs-2146	25	13	,	,	PUNCT
iajs-2146	25	14	publish	publish	VERB
iajs-2146	25	15	may	may	PROPN
iajs-2146	25	16	2019	2019	NUM
iajs-2146	25	17	doi	doi	NOUN
iajs-2146	25	18	:	:	PUNCT
iajs-2146	25	19	10.30526/32.2.2146	10.30526/32.2.2146	NUM
iajs-2146	25	20	mailto:salwaalbundi@yahoo.com	mailto:salwaalbundi@yahoo.com	X
iajs-2146	26	1	mailto:salwaalbundi@yahoo.com	mailto:salwaalbundi@yahoo.com	X
iajs-2146	26	2	mailto:/	mailto:/	NOUN
iajs-2146	26	3	mailto:/	mailto:/	NOUN
iajs-2146	26	4	82	82	NUM
iajs-2146	27	1	lbn	lbn	PROPN
iajs-2146	27	2	al	al	PROPN
iajs-2146	27	3	-	-	PUNCT
iajs-2146	27	4	haitham	haitham	PROPN
iajs-2146	27	5	jour.for	jour.for	ADP
iajs-2146	27	6	pure	pure	ADJ
iajs-2146	27	7	&	&	CCONJ
iajs-2146	27	8	appl	appl	PROPN
iajs-2146	27	9	.sci	.sci	PROPN
iajs-2146	27	10	.	.	PUNCT
iajs-2146	28	1	32	32	NUM
iajs-2146	28	2	(	(	PUNCT
iajs-2146	28	3	2	2	NUM
iajs-2146	28	4	)	)	PUNCT
iajs-2146	28	5	2019	2019	NUM
iajs-2146	28	6	in	in	ADP
iajs-2146	28	7	this	this	DET
iajs-2146	28	8	paper	paper	NOUN
iajs-2146	28	9	,	,	PUNCT
iajs-2146	28	10	we	we	PRON
iajs-2146	28	11	prove	prove	VERB
iajs-2146	28	12	some	some	DET
iajs-2146	28	13	convergence	convergence	NOUN
iajs-2146	28	14	theorems	theorem	NOUN
iajs-2146	28	15	for	for	ADP
iajs-2146	28	16	approximating	approximate	VERB
iajs-2146	28	17	common	common	ADJ
iajs-2146	28	18	fixed	fix	VERB
iajs-2146	28	19	points	point	NOUN
iajs-2146	28	20	of	of	ADP
iajs-2146	28	21	firmly	firmly	ADV
iajs-2146	28	22	nonexpansive	nonexpansive	ADJ
iajs-2146	28	23	and	and	CCONJ
iajs-2146	28	24	maps	map	NOUN
iajs-2146	28	25	satisfied	satisfied	ADJ
iajs-2146	28	26	condition	condition	NOUN
iajs-2146	28	27	(	(	PUNCT
iajs-2146	28	28	)	)	PUNCT
iajs-2146	28	29	.	.	PUNCT
iajs-2146	29	1	2	2	X
iajs-2146	29	2	.	.	X
iajs-2146	29	3	preliminaries	preliminary	NOUN
iajs-2146	29	4	we	we	PRON
iajs-2146	29	5	will	will	AUX
iajs-2146	29	6	assume	assume	VERB
iajs-2146	29	7	throughout	throughout	ADP
iajs-2146	29	8	this	this	DET
iajs-2146	29	9	paper	paper	NOUN
iajs-2146	29	10	that	that	PRON
iajs-2146	29	11	(	(	PUNCT
iajs-2146	29	12	)	)	PUNCT
iajs-2146	29	13	is	be	AUX
iajs-2146	29	14	a	a	DET
iajs-2146	29	15	uniformly	uniformly	ADV
iajs-2146	29	16	convex	convex	NOUN
iajs-2146	29	17	banach	banach	NOUN
iajs-2146	29	18	space	space	NOUN
iajs-2146	29	19	and	and	CCONJ
iajs-2146	29	20	b	b	NOUN
iajs-2146	29	21	is	be	AUX
iajs-2146	29	22	a	a	DET
iajs-2146	29	23	non	non	ADJ
iajs-2146	29	24	-	-	ADJ
iajs-2146	29	25	empty	empty	ADJ
iajs-2146	29	26	closed	closed	ADJ
iajs-2146	29	27	convex	convex	NOUN
iajs-2146	29	28	subset	subset	NOUN
iajs-2146	29	29	of	of	ADP
iajs-2146	29	30	m.	m.	NOUN
iajs-2146	29	31	for	for	ADP
iajs-2146	29	32	maps	map	NOUN
iajs-2146	29	33	the	the	DET
iajs-2146	29	34	set	set	NOUN
iajs-2146	29	35	of	of	ADP
iajs-2146	29	36	all	all	DET
iajs-2146	29	37	fixed	fix	VERB
iajs-2146	29	38	points	point	NOUN
iajs-2146	29	39	of	of	ADP
iajs-2146	29	40	s	s	NOUN
iajs-2146	29	41	and	and	CCONJ
iajs-2146	29	42	t	t	PROPN
iajs-2146	29	43	will	will	AUX
iajs-2146	29	44	be	be	AUX
iajs-2146	29	45	denoted	denote	VERB
iajs-2146	29	46	by	by	ADP
iajs-2146	29	47	(	(	PUNCT
iajs-2146	29	48	)	)	PUNCT
iajs-2146	29	49	.	.	PUNCT
iajs-2146	30	1	a	a	DET
iajs-2146	30	2	sequences	sequence	NOUN
iajs-2146	30	3	(	(	PUNCT
iajs-2146	30	4	)	)	PUNCT
iajs-2146	30	5	in	in	SCONJ
iajs-2146	30	6	b	b	PROPN
iajs-2146	30	7	is	be	AUX
iajs-2146	30	8	called	call	VERB
iajs-2146	30	9	:	:	PUNCT
iajs-2146	30	10	picard	picard	NOUN
iajs-2146	30	11	-	-	PUNCT
iajs-2146	30	12	mann	mann	PROPN
iajs-2146	30	13	hybrid	hybrid	NOUN
iajs-2146	30	14	[	[	X
iajs-2146	30	15	7	7	NUM
iajs-2146	30	16	]	]	PUNCT
iajs-2146	30	17	.	.	PUNCT
iajs-2146	31	1	(	(	PUNCT
iajs-2146	31	2	)	)	PUNCT
iajs-2146	31	3	(	(	PUNCT
iajs-2146	31	4	)	)	PUNCT
iajs-2146	31	5	where	where	SCONJ
iajs-2146	31	6	(	(	PUNCT
iajs-2146	31	7	)	)	PUNCT
iajs-2146	31	8	(	(	PUNCT
iajs-2146	31	9	)	)	PUNCT
iajs-2146	31	10	noor	noor	PROPN
iajs-2146	31	11	iterative	iterative	NOUN
iajs-2146	31	12	scheme	scheme	NOUN
iajs-2146	31	13	[	[	X
iajs-2146	31	14	8	8	NUM
iajs-2146	31	15	]	]	PUNCT
iajs-2146	31	16	.	.	PUNCT
iajs-2146	32	1	if	if	SCONJ
iajs-2146	32	2	(	(	PUNCT
iajs-2146	32	3	)	)	PUNCT
iajs-2146	32	4	(	(	PUNCT
iajs-2146	32	5	)	)	PUNCT
iajs-2146	32	6	(	(	PUNCT
iajs-2146	32	7	)	)	PUNCT
iajs-2146	32	8	(	(	PUNCT
iajs-2146	32	9	)	)	PUNCT
iajs-2146	32	10	where	where	SCONJ
iajs-2146	32	11	(	(	PUNCT
iajs-2146	32	12	)	)	PUNCT
iajs-2146	32	13	(	(	PUNCT
iajs-2146	32	14	)	)	PUNCT
iajs-2146	32	15	(	(	PUNCT
iajs-2146	32	16	)	)	PUNCT
iajs-2146	32	17	,	,	PUNCT
iajs-2146	32	18	definition	definition	NOUN
iajs-2146	32	19	(	(	PUNCT
iajs-2146	32	20	1	1	X
iajs-2146	32	21	)	)	PUNCT
iajs-2146	32	22	[	[	X
iajs-2146	32	23	9	9	NUM
iajs-2146	32	24	]	]	PUNCT
iajs-2146	32	25	.	.	PUNCT
iajs-2146	33	1	a	a	DET
iajs-2146	33	2	map	map	NOUN
iajs-2146	33	3	said	say	VERB
iajs-2146	33	4	to	to	PART
iajs-2146	33	5	be	be	AUX
iajs-2146	33	6	lipschitz	lipschitz	VERB
iajs-2146	33	7	continuous	continuous	ADJ
iajs-2146	33	8	or	or	CCONJ
iajs-2146	33	9	lilipschitzf	lilipschitzf	NOUN
iajs-2146	33	10	such	such	ADJ
iajs-2146	33	11	that	that	DET
iajs-2146	33	12	‖	‖	PROPN
iajs-2146	33	13	‖	‖	PROPN
iajs-2146	33	14	‖	‖	PROPN
iajs-2146	33	15	‖	‖	PROPN
iajs-2146	33	16	if	if	SCONJ
iajs-2146	33	17	,	,	PUNCT
iajs-2146	33	18	then	then	ADV
iajs-2146	33	19	t	t	PROPN
iajs-2146	33	20	is	be	AUX
iajs-2146	33	21	nonexpansive	nonexpansive	ADJ
iajs-2146	33	22	.	.	PUNCT
iajs-2146	34	1	definition	definition	NOUN
iajs-2146	34	2	(	(	PUNCT
iajs-2146	34	3	2	2	X
iajs-2146	34	4	)	)	PUNCT
iajs-2146	34	5	[	[	X
iajs-2146	34	6	10	10	NUM
iajs-2146	34	7	]	]	PUNCT
iajs-2146	34	8	.	.	PUNCT
iajs-2146	35	1	a	a	DET
iajs-2146	35	2	map	map	NOUN
iajs-2146	35	3	is	be	AUX
iajs-2146	35	4	said	say	VERB
iajs-2146	35	5	to	to	ADP
iajs-2146	35	6	satisfying	satisfy	VERB
iajs-2146	35	7	:	:	PUNCT
iajs-2146	35	8	1	1	NUM
iajs-2146	35	9	-	-	PUNCT
iajs-2146	35	10	condition	condition	NOUN
iajs-2146	35	11	(	(	PUNCT
iajs-2146	35	12	)	)	PUNCT
iajs-2146	35	13	if	if	SCONJ
iajs-2146	35	14	‖	‖	PROPN
iajs-2146	35	15	‖	‖	PROPN
iajs-2146	35	16	‖	‖	PROPN
iajs-2146	35	17	‖	‖	PROPN
iajs-2146	35	18	→	→	SYM
iajs-2146	35	19	‖	‖	PROPN
iajs-2146	35	20	‖	‖	PROPN
iajs-2146	35	21	‖	‖	PROPN
iajs-2146	35	22	‖	‖	PROPN
iajs-2146	35	23	.	.	PUNCT
iajs-2146	36	1	2	2	NUM
iajs-2146	36	2	-	-	PUNCT
iajs-2146	36	3	condition	condition	NOUN
iajs-2146	36	4	(	(	PUNCT
iajs-2146	36	5	)	)	PUNCT
iajs-2146	36	6	if	if	SCONJ
iajs-2146	36	7	‖	‖	PROPN
iajs-2146	36	8	‖	‖	PROPN
iajs-2146	36	9	‖	‖	PROPN
iajs-2146	36	10	‖	‖	PROPN
iajs-2146	36	11	→	→	SYM
iajs-2146	36	12	‖	‖	PROPN
iajs-2146	36	13	‖	‖	PROPN
iajs-2146	36	14	‖	‖	PROPN
iajs-2146	36	15	‖	‖	PROPN
iajs-2146	36	16	(	(	PUNCT
iajs-2146	36	17	)	)	PUNCT
iajs-2146	36	18	defintion	defintion	NOUN
iajs-2146	36	19	(	(	PUNCT
iajs-2146	36	20	3)[5	3)[5	NUM
iajs-2146	36	21	]	]	PUNCT
iajs-2146	36	22	.	.	PUNCT
iajs-2146	37	1	a	a	DET
iajs-2146	37	2	map	map	NOUN
iajs-2146	37	3	is	be	AUX
iajs-2146	37	4	said	say	VERB
iajs-2146	37	5	to	to	PART
iajs-2146	37	6	be	be	AUX
iajs-2146	37	7	firmly	firmly	ADV
iajs-2146	37	8	nonexpansive	nonexpansive	ADJ
iajs-2146	37	9	map	map	NOUN
iajs-2146	37	10	if	if	SCONJ
iajs-2146	37	11	‖	‖	PROPN
iajs-2146	37	12	‖	‖	PROPN
iajs-2146	37	13	‖	‖	PROPN
iajs-2146	37	14	(	(	PUNCT
iajs-2146	37	15	)	)	PUNCT
iajs-2146	37	16	(	(	PUNCT
iajs-2146	37	17	)	)	PUNCT
iajs-2146	37	18	(	(	PUNCT
iajs-2146	37	19	)	)	PUNCT
iajs-2146	37	20	‖	‖	ADJ
iajs-2146	37	21	definition	definition	NOUN
iajs-2146	37	22	(	(	PUNCT
iajs-2146	37	23	4)[11	4)[11	X
iajs-2146	37	24	]	]	PUNCT
iajs-2146	37	25	.	.	PUNCT
iajs-2146	38	1	two	two	NUM
iajs-2146	38	2	maps	map	NOUN
iajs-2146	38	3	are	be	AUX
iajs-2146	38	4	called	call	VERB
iajs-2146	38	5	:	:	PUNCT
iajs-2146	38	6	1	1	NUM
iajs-2146	38	7	-	-	PUNCT
iajs-2146	38	8	condition	condition	NOUN
iajs-2146	38	9	(	(	PUNCT
iajs-2146	38	10	a	a	X
iajs-2146	38	11	)	)	PUNCT
iajs-2146	38	12	if	if	SCONJ
iajs-2146	38	13	there	there	PRON
iajs-2146	38	14	is	be	VERB
iajs-2146	38	15	a	a	DET
iajs-2146	38	16	nondecreasing	nondecrease	VERB
iajs-2146	38	17	function	function	NOUN
iajs-2146	38	18	,	,	PUNCT
iajs-2146	38	19	)	)	PUNCT
iajs-2146	38	20	,	,	PUNCT
iajs-2146	38	21	)	)	PUNCT
iajs-2146	38	22	(	(	PUNCT
iajs-2146	38	23	)	)	PUNCT
iajs-2146	38	24	(	(	PUNCT
iajs-2146	38	25	)	)	PUNCT
iajs-2146	38	26	(	(	PUNCT
iajs-2146	38	27	)	)	PUNCT
iajs-2146	38	28	such	such	ADJ
iajs-2146	38	29	that	that	SCONJ
iajs-2146	38	30	:	:	PUNCT
iajs-2146	38	31	either	either	CCONJ
iajs-2146	38	32	‖	‖	PROPN
iajs-2146	38	33	‖	‖	PROPN
iajs-2146	38	34	(	(	PUNCT
iajs-2146	38	35	(	(	PUNCT
iajs-2146	38	36	)	)	PUNCT
iajs-2146	38	37	)	)	PUNCT
iajs-2146	39	1	‖	‖	PROPN
iajs-2146	40	1	‖	‖	PROPN
iajs-2146	40	2	(	(	PUNCT
iajs-2146	40	3	(	(	PUNCT
iajs-2146	40	4	)	)	PUNCT
iajs-2146	40	5	)	)	PUNCT
iajs-2146	40	6	(	(	PUNCT
iajs-2146	40	7	)	)	PUNCT
iajs-2146	40	8	*	*	PUNCT
iajs-2146	41	1	‖	‖	PROPN
iajs-2146	41	2	‖	‖	PROPN
iajs-2146	41	3	+	+	CCONJ
iajs-2146	41	4	(	(	PUNCT
iajs-2146	41	5	)	)	PUNCT
iajs-2146	41	6	(	(	PUNCT
iajs-2146	41	7	)	)	PUNCT
iajs-2146	41	8	2	2	NUM
iajs-2146	41	9	-	-	PUNCT
iajs-2146	41	10	condition	condition	NOUN
iajs-2146	41	11	(	(	PUNCT
iajs-2146	41	12	)	)	PUNCT
iajs-2146	41	13	if	if	SCONJ
iajs-2146	41	14	‖	‖	PROPN
iajs-2146	41	15	‖	‖	PROPN
iajs-2146	41	16	‖	‖	PROPN
iajs-2146	41	17	‖	‖	PROPN
iajs-2146	41	18	definition	definition	NOUN
iajs-2146	41	19	(	(	PUNCT
iajs-2146	41	20	5)[12	5)[12	NOUN
iajs-2146	41	21	]	]	PUNCT
iajs-2146	41	22	.	.	PUNCT
iajs-2146	42	1	a	a	DET
iajs-2146	42	2	map	map	NOUN
iajs-2146	42	3	is	be	AUX
iajs-2146	42	4	called	call	VERB
iajs-2146	42	5	1	1	NUM
iajs-2146	42	6	-	-	PUNCT
iajs-2146	42	7	demiclosed	demiclosed	ADJ
iajs-2146	42	8	at	at	ADP
iajs-2146	42	9	0	0	NUM
iajs-2146	42	10	if	if	SCONJ
iajs-2146	42	11	sequence	sequence	NOUN
iajs-2146	42	12	(	(	PUNCT
iajs-2146	42	13	)	)	PUNCT
iajs-2146	42	14	such	such	ADJ
iajs-2146	42	15	that	that	SCONJ
iajs-2146	42	16	(	(	PUNCT
iajs-2146	42	17	)	)	PUNCT
iajs-2146	42	18	converges	converge	VERB
iajs-2146	42	19	weakly	weakly	ADJ
iajs-2146	42	20	to	to	ADP
iajs-2146	42	21	(	(	PUNCT
iajs-2146	42	22	)	)	PUNCT
iajs-2146	42	23	and	and	CCONJ
iajs-2146	42	24	(	(	PUNCT
iajs-2146	42	25	)	)	PUNCT
iajs-2146	42	26	converges	converge	VERB
iajs-2146	42	27	strongly	strongly	ADV
iajs-2146	42	28	to	to	ADP
iajs-2146	42	29	0	0	NUM
iajs-2146	42	30	,	,	PUNCT
iajs-2146	42	31	then	then	ADV
iajs-2146	42	32	2	2	NUM
iajs-2146	42	33	-	-	PUNCT
iajs-2146	42	34	affine	affine	NOUN
iajs-2146	42	35	if	if	SCONJ
iajs-2146	42	36	b	b	NOUN
iajs-2146	42	37	is	be	AUX
iajs-2146	42	38	convex	convex	ADJ
iajs-2146	42	39	and	and	CCONJ
iajs-2146	42	40	(	(	PUNCT
iajs-2146	42	41	(	(	PUNCT
iajs-2146	42	42	)	)	PUNCT
iajs-2146	42	43	)	)	PUNCT
iajs-2146	43	1	(	(	PUNCT
iajs-2146	43	2	)	)	PUNCT
iajs-2146	43	3	(	(	PUNCT
iajs-2146	43	4	)	)	PUNCT
iajs-2146	43	5	,	,	PUNCT
iajs-2146	43	6	83	83	NUM
iajs-2146	43	7	lbn	lbn	ADJ
iajs-2146	43	8	al	al	PROPN
iajs-2146	43	9	-	-	PUNCT
iajs-2146	43	10	haitham	haitham	PROPN
iajs-2146	43	11	jour.for	jour.for	ADP
iajs-2146	43	12	pure	pure	ADJ
iajs-2146	43	13	&	&	CCONJ
iajs-2146	43	14	appl	appl	PROPN
iajs-2146	43	15	.sci	.sci	PROPN
iajs-2146	43	16	.	.	PUNCT
iajs-2146	44	1	32	32	NUM
iajs-2146	44	2	(	(	PUNCT
iajs-2146	44	3	2	2	NUM
iajs-2146	44	4	)	)	PUNCT
iajs-2146	44	5	2019	2019	NUM
iajs-2146	44	6	definition	definition	NOUN
iajs-2146	44	7	(	(	PUNCT
iajs-2146	44	8	6)[7	6)[7	NOUN
iajs-2146	44	9	]	]	PUNCT
iajs-2146	44	10	.	.	PUNCT
iajs-2146	45	1	let	let	AUX
iajs-2146	45	2	(	(	PUNCT
iajs-2146	45	3	)	)	PUNCT
iajs-2146	45	4	(	(	PUNCT
iajs-2146	45	5	)	)	PUNCT
iajs-2146	45	6	be	be	AUX
iajs-2146	45	7	two	two	NUM
iajs-2146	45	8	sequences	sequence	NOUN
iajs-2146	45	9	of	of	ADP
iajs-2146	45	10	real	real	ADJ
iajs-2146	45	11	numbers	number	NOUN
iajs-2146	45	12	that	that	PRON
iajs-2146	45	13	converging	converge	VERB
iajs-2146	45	14	to	to	ADP
iajs-2146	45	15	‖	‖	PROPN
iajs-2146	45	16	‖	‖	PROPN
iajs-2146	45	17	‖	‖	PROPN
iajs-2146	45	18	‖	‖	PROPN
iajs-2146	45	19	then	then	ADV
iajs-2146	45	20	(	(	PUNCT
iajs-2146	45	21	)	)	PUNCT
iajs-2146	45	22	converges	converge	VERB
iajs-2146	45	23	faster	fast	ADV
iajs-2146	45	24	than	than	ADP
iajs-2146	45	25	(	(	PUNCT
iajs-2146	45	26	)	)	PUNCT
iajs-2146	45	27	lemma	lemma	PROPN
iajs-2146	45	28	(	(	PUNCT
iajs-2146	45	29	7)[13	7)[13	NOUN
iajs-2146	45	30	]	]	PUNCT
iajs-2146	45	31	.	.	PUNCT
iajs-2146	46	1	let	let	AUX
iajs-2146	46	2	(	(	PUNCT
iajs-2146	46	3	)	)	PUNCT
iajs-2146	46	4	∞	∞	PROPN
iajs-2146	46	5	n=0	n=0	NUM
iajs-2146	46	6	(	(	PUNCT
iajs-2146	46	7	)	)	PUNCT
iajs-2146	46	8	∞	∞	PROPN
iajs-2146	46	9	n=0	n=0	NUM
iajs-2146	46	10	be	be	AUX
iajs-2146	46	11	nonnegative	nonnegative	ADJ
iajs-2146	46	12	real	real	ADJ
iajs-2146	46	13	sequences	sequence	NOUN
iajs-2146	46	14	satisfying	satisfy	VERB
iajs-2146	46	15	the	the	DET
iajs-2146	46	16	inequality	inequality	NOUN
iajs-2146	46	17	:	:	PUNCT
iajs-2146	46	18	(	(	PUNCT
iajs-2146	46	19	)	)	PUNCT
iajs-2146	46	20	where	where	SCONJ
iajs-2146	46	21	(	(	PUNCT
iajs-2146	46	22	)	)	PUNCT
iajs-2146	46	23	∑	∑	PROPN
iajs-2146	46	24	lemma	lemma	PROPN
iajs-2146	46	25	(	(	PUNCT
iajs-2146	46	26	8)[10	8)[10	NUM
iajs-2146	46	27	]	]	PUNCT
iajs-2146	46	28	.	.	PUNCT
iajs-2146	47	1	let	let	VERB
iajs-2146	47	2	m	m	PRON
iajs-2146	47	3	be	be	AUX
iajs-2146	47	4	a	a	DET
iajs-2146	47	5	uniformly	uniformly	ADV
iajs-2146	47	6	convex	convex	NOUN
iajs-2146	47	7	banach	banach	NOUN
iajs-2146	47	8	space	space	NOUN
iajs-2146	47	9	and	and	CCONJ
iajs-2146	47	10	suppose	suppose	VERB
iajs-2146	47	11	that	that	SCONJ
iajs-2146	47	12	(	(	PUNCT
iajs-2146	47	13	)	)	PUNCT
iajs-2146	47	14	(	(	PUNCT
iajs-2146	47	15	)	)	PUNCT
iajs-2146	47	16	are	be	AUX
iajs-2146	47	17	two	two	NUM
iajs-2146	47	18	sequences	sequence	NOUN
iajs-2146	47	19	of	of	ADP
iajs-2146	47	20	m	m	NOUN
iajs-2146	47	21	such	such	ADJ
iajs-2146	47	22	that	that	SCONJ
iajs-2146	47	23	‖	‖	PROPN
iajs-2146	47	24	‖	‖	PROPN
iajs-2146	47	25	‖	‖	PROPN
iajs-2146	47	26	‖	‖	PROPN
iajs-2146	47	27	‖	‖	PROPN
iajs-2146	47	28	(	(	PUNCT
iajs-2146	47	29	)	)	PUNCT
iajs-2146	47	30	‖	‖	PROPN
iajs-2146	47	31	hold	hold	NOUN
iajs-2146	47	32	for	for	ADP
iajs-2146	47	33	some	some	PRON
iajs-2146	47	34	then	then	ADV
iajs-2146	47	35	‖	‖	PROPN
iajs-2146	47	36	‖	‖	PROPN
iajs-2146	47	37	3	3	PROPN
iajs-2146	47	38	.	.	X
iajs-2146	47	39	two	two	NUM
iajs-2146	47	40	lemmas	lemmas	PROPN
iajs-2146	47	41	lemma	lemma	PROPN
iajs-2146	47	42	(	(	PUNCT
iajs-2146	47	43	9	9	NUM
iajs-2146	47	44	):	):	PUNCT
iajs-2146	47	45	let	let	VERB
iajs-2146	47	46	b	b	X
iajs-2146	47	47	be	be	AUX
iajs-2146	47	48	a	a	DET
iajs-2146	47	49	non	non	ADJ
iajs-2146	47	50	-	-	ADJ
iajs-2146	47	51	empty	empty	ADJ
iajs-2146	47	52	closed	closed	ADJ
iajs-2146	47	53	convex	convex	NOUN
iajs-2146	47	54	subset	subset	NOUN
iajs-2146	47	55	of	of	ADP
iajs-2146	47	56	a	a	DET
iajs-2146	47	57	normed	normed	ADJ
iajs-2146	47	58	space	space	NOUN
iajs-2146	47	59	m	m	PROPN
iajs-2146	47	60	,	,	PUNCT
iajs-2146	47	61	be	be	AUX
iajs-2146	47	62	a	a	DET
iajs-2146	47	63	firmly	firmly	ADJ
iajs-2146	47	64	noninexpensivep	noninexpensivep	NOUN
iajs-2146	47	65	and	and	CCONJ
iajs-2146	47	66	satisfying	satisfy	VERB
iajs-2146	47	67	lipschitz	lipschitz	NOUN
iajs-2146	47	68	be	be	AUX
iajs-2146	47	69	satisfying	satisfy	VERB
iajs-2146	47	70	condition	condition	NOUN
iajs-2146	47	71	(	(	PUNCT
iajs-2146	47	72	)	)	PUNCT
iajs-2146	47	73	.let	.let	PUNCT
iajs-2146	48	1	1-	1-	X
iajs-2146	48	2	(	(	PUNCT
iajs-2146	48	3	)	)	PUNCT
iajs-2146	48	4	be	be	AUX
iajs-2146	48	5	as	as	ADP
iajs-2146	48	6	in	in	ADP
iajs-2146	48	7	(	(	PUNCT
iajs-2146	48	8	1	1	NUM
iajs-2146	48	9	)	)	PUNCT
iajs-2146	48	10	where	where	SCONJ
iajs-2146	48	11	(	(	PUNCT
iajs-2146	48	12	)	)	PUNCT
iajs-2146	48	13	(	(	PUNCT
iajs-2146	48	14	)	)	PUNCT
iajs-2146	48	15	2-	2-	X
iajs-2146	48	16	(	(	PUNCT
iajs-2146	48	17	)	)	PUNCT
iajs-2146	48	18	be	be	AUX
iajs-2146	48	19	as	as	ADP
iajs-2146	48	20	in	in	ADP
iajs-2146	48	21	(	(	PUNCT
iajs-2146	48	22	2	2	NUM
iajs-2146	48	23	)	)	PUNCT
iajs-2146	48	24	where	where	SCONJ
iajs-2146	48	25	(	(	PUNCT
iajs-2146	48	26	)	)	PUNCT
iajs-2146	48	27	(	(	PUNCT
iajs-2146	48	28	)	)	PUNCT
iajs-2146	48	29	(	(	PUNCT
iajs-2146	48	30	)	)	PUNCT
iajs-2146	48	31	,	,	PUNCT
iajs-2146	48	32	if	if	SCONJ
iajs-2146	48	33	(	(	PUNCT
iajs-2146	48	34	)	)	PUNCT
iajs-2146	48	35	then	then	ADV
iajs-2146	48	36	‖	‖	PROPN
iajs-2146	48	37	‖	‖	PROPN
iajs-2146	48	38	‖	‖	PROPN
iajs-2146	48	39	‖	‖	PROPN
iajs-2146	48	40	(	(	PUNCT
iajs-2146	48	41	)	)	PUNCT
iajs-2146	48	42	proof	proof	NOUN
iajs-2146	48	43	:	:	PUNCT
iajs-2146	48	44	let	let	VERB
iajs-2146	48	45	(	(	PUNCT
iajs-2146	48	46	)	)	PUNCT
iajs-2146	48	47	.	.	PUNCT
iajs-2146	49	1	by	by	ADP
iajs-2146	49	2	using	use	VERB
iajs-2146	49	3	condition	condition	NOUN
iajs-2146	49	4	(	(	PUNCT
iajs-2146	49	5	)	)	PUNCT
iajs-2146	49	6	,	,	PUNCT
iajs-2146	49	7	we	we	PRON
iajs-2146	49	8	have	have	VERB
iajs-2146	49	9	‖	‖	VERB
iajs-2146	49	10	‖	‖	PROPN
iajs-2146	49	11	‖	‖	PROPN
iajs-2146	49	12	‖	‖	PROPN
iajs-2146	49	13	→	→	SYM
iajs-2146	49	14	‖	‖	PROPN
iajs-2146	49	15	‖	‖	PROPN
iajs-2146	49	16	‖	‖	PROPN
iajs-2146	50	1	‖	‖	PROPN
iajs-2146	50	2	then	then	ADV
iajs-2146	50	3	1-‖	1-‖	NUM
iajs-2146	50	4	‖	‖	PROPN
iajs-2146	50	5	‖	‖	PROPN
iajs-2146	50	6	‖	‖	PROPN
iajs-2146	50	7	‖	‖	PROPN
iajs-2146	50	8	‖	‖	PROPN
iajs-2146	50	9	(	(	PUNCT
iajs-2146	50	10	)	)	PUNCT
iajs-2146	50	11	‖	‖	PROPN
iajs-2146	50	12	‖	‖	PROPN
iajs-2146	50	13	‖	‖	PROPN
iajs-2146	50	14	‖	‖	PROPN
iajs-2146	50	15	(	(	PUNCT
iajs-2146	50	16	)	)	PUNCT
iajs-2146	50	17	‖	‖	PROPN
iajs-2146	50	18	‖	‖	PROPN
iajs-2146	50	19	(	(	PUNCT
iajs-2146	50	20	)	)	PUNCT
iajs-2146	50	21	‖	‖	PROPN
iajs-2146	50	22	‖	‖	PROPN
iajs-2146	50	23	‖	‖	PROPN
iajs-2146	50	24	‖	‖	PROPN
iajs-2146	50	25	(	(	PUNCT
iajs-2146	50	26	)	)	PUNCT
iajs-2146	50	27	‖	‖	PROPN
iajs-2146	50	28	‖	‖	PROPN
iajs-2146	50	29	(	(	PUNCT
iajs-2146	50	30	)	)	PUNCT
iajs-2146	50	31	‖	‖	PROPN
iajs-2146	50	32	‖	‖	PROPN
iajs-2146	50	33	‖	‖	PROPN
iajs-2146	50	34	‖	‖	PROPN
iajs-2146	50	35	(	(	PUNCT
iajs-2146	50	36	)	)	PUNCT
iajs-2146	50	37	‖	‖	PROPN
iajs-2146	50	38	‖	‖	PROPN
iajs-2146	50	39	,	,	PUNCT
iajs-2146	50	40	(	(	PUNCT
iajs-2146	50	41	)	)	PUNCT
iajs-2146	50	42	-‖	-‖	PROPN
iajs-2146	50	43	‖	‖	PROPN
iajs-2146	50	44	(	(	PUNCT
iajs-2146	50	45	)	)	PUNCT
iajs-2146	50	46	‖	‖	PROPN
iajs-2146	50	47	‖	‖	PROPN
iajs-2146	50	48	‖	‖	PROPN
iajs-2146	50	49	‖	‖	PROPN
iajs-2146	50	50	‖	‖	PROPN
iajs-2146	50	51	‖	‖	PROPN
iajs-2146	50	52	then	then	ADV
iajs-2146	50	53	‖	‖	ADJ
iajs-2146	50	54	‖	‖	PROPN
iajs-2146	50	55	exists	exist	VERB
iajs-2146	50	56	(	(	PUNCT
iajs-2146	50	57	)	)	PUNCT
iajs-2146	50	58	.	.	PUNCT
iajs-2146	51	1	2-‖	2-‖	NUM
iajs-2146	51	2	‖	‖	PROPN
iajs-2146	51	3	‖	‖	PROPN
iajs-2146	51	4	(	(	PUNCT
iajs-2146	51	5	)	)	PUNCT
iajs-2146	51	6	‖	‖	PROPN
iajs-2146	51	7	(	(	PUNCT
iajs-2146	51	8	)	)	PUNCT
iajs-2146	51	9	‖	‖	PROPN
iajs-2146	51	10	‖	‖	PROPN
iajs-2146	51	11	‖	‖	PROPN
iajs-2146	51	12	‖	‖	PROPN
iajs-2146	51	13	(	(	PUNCT
iajs-2146	51	14	)	)	PUNCT
iajs-2146	51	15	‖	‖	PROPN
iajs-2146	51	16	‖	‖	PROPN
iajs-2146	51	17	(	(	PUNCT
iajs-2146	51	18	)	)	PUNCT
iajs-2146	51	19	‖	‖	PROPN
iajs-2146	51	20	‖	‖	PROPN
iajs-2146	51	21	‖	‖	PROPN
iajs-2146	51	22	‖	‖	PROPN
iajs-2146	51	23	(	(	PUNCT
iajs-2146	51	24	)	)	PUNCT
iajs-2146	51	25	‖	‖	PROPN
iajs-2146	51	26	‖	‖	PROPN
iajs-2146	51	27	(	(	PUNCT
iajs-2146	51	28	)	)	PUNCT
iajs-2146	51	29	‖	‖	PROPN
iajs-2146	51	30	‖	‖	PROPN
iajs-2146	51	31	‖	‖	PROPN
iajs-2146	51	32	‖	‖	PROPN
iajs-2146	51	33	(	(	PUNCT
iajs-2146	51	34	)	)	PUNCT
iajs-2146	51	35	‖	‖	PROPN
iajs-2146	51	36	‖	‖	PROPN
iajs-2146	51	37	,	,	PUNCT
iajs-2146	51	38	(	(	PUNCT
iajs-2146	51	39	)	)	PUNCT
iajs-2146	51	40	-‖	-‖	PROPN
iajs-2146	51	41	‖	‖	PROPN
iajs-2146	51	42	‖	‖	PROPN
iajs-2146	51	43	‖	‖	PROPN
iajs-2146	51	44	‖	‖	PROPN
iajs-2146	51	45	‖	‖	PROPN
iajs-2146	51	46	(	(	PUNCT
iajs-2146	51	47	)	)	PUNCT
iajs-2146	51	48	‖	‖	PROPN
iajs-2146	51	49	‖	‖	PROPN
iajs-2146	51	50	‖	‖	PROPN
iajs-2146	51	51	‖	‖	PROPN
iajs-2146	51	52	(	(	PUNCT
iajs-2146	51	53	)	)	PUNCT
iajs-2146	51	54	‖	‖	PROPN
iajs-2146	51	55	‖	‖	PROPN
iajs-2146	51	56	,	,	PUNCT
iajs-2146	51	57	(	(	PUNCT
iajs-2146	51	58	)	)	PUNCT
iajs-2146	51	59	-‖	-‖	PROPN
iajs-2146	51	60	‖	‖	PROPN
iajs-2146	51	61	‖	‖	PROPN
iajs-2146	51	62	‖	‖	PROPN
iajs-2146	51	63	now	now	ADV
iajs-2146	51	64	‖	‖	ADJ
iajs-2146	51	65	‖	‖	ADJ
iajs-2146	51	66	(	(	PUNCT
iajs-2146	51	67	)	)	PUNCT
iajs-2146	51	68	‖	‖	PROPN
iajs-2146	51	69	‖	‖	PROPN
iajs-2146	51	70	‖	‖	PROPN
iajs-2146	51	71	‖	‖	PROPN
iajs-2146	51	72	(	(	PUNCT
iajs-2146	51	73	)	)	PUNCT
iajs-2146	51	74	‖	‖	PROPN
iajs-2146	51	75	‖	‖	PROPN
iajs-2146	51	76	‖	‖	PROPN
iajs-2146	51	77	‖	‖	PROPN
iajs-2146	51	78	84	84	NUM
iajs-2146	51	79	lbn	lbn	PROPN
iajs-2146	51	80	al	al	PROPN
iajs-2146	51	81	-	-	PUNCT
iajs-2146	51	82	haitham	haitham	PROPN
iajs-2146	51	83	jour.for	jour.for	ADP
iajs-2146	51	84	pure	pure	ADJ
iajs-2146	51	85	&	&	CCONJ
iajs-2146	51	86	appl	appl	PROPN
iajs-2146	51	87	.sci	.sci	PROPN
iajs-2146	51	88	.	.	PUNCT
iajs-2146	52	1	32	32	NUM
iajs-2146	52	2	(	(	PUNCT
iajs-2146	52	3	2	2	NUM
iajs-2146	52	4	)	)	PUNCT
iajs-2146	52	5	2019	2019	NUM
iajs-2146	52	6	‖	‖	PROPN
iajs-2146	52	7	‖	‖	PROPN
iajs-2146	52	8	then	then	ADV
iajs-2146	52	9	‖	‖	PROPN
iajs-2146	52	10	‖	‖	PROPN
iajs-2146	52	11	exists	exist	VERB
iajs-2146	52	12	(	(	PUNCT
iajs-2146	52	13	)	)	PUNCT
iajs-2146	52	14	.	.	PUNCT
iajs-2146	53	1	lemma	lemma	PROPN
iajs-2146	53	2	(	(	PUNCT
iajs-2146	53	3	10	10	NUM
iajs-2146	53	4	):	):	PUNCT
iajs-2146	53	5	let	let	VERB
iajs-2146	53	6	m	m	PRON
iajs-2146	53	7	be	be	AUX
iajs-2146	53	8	a	a	DET
iajs-2146	53	9	uniformly	uniformly	ADV
iajs-2146	53	10	convex	convex	NOUN
iajs-2146	53	11	banach	banach	NOUN
iajs-2146	53	12	space	space	NOUN
iajs-2146	53	13	and	and	CCONJ
iajs-2146	53	14	b	b	NOUN
iajs-2146	53	15	be	be	AUX
iajs-2146	53	16	a	a	DET
iajs-2146	53	17	nonempty	nonempty	ADV
iajs-2146	53	18	closed	close	VERB
iajs-2146	53	19	convex	convex	NOUN
iajs-2146	53	20	subset	subset	NOUN
iajs-2146	53	21	of	of	ADP
iajs-2146	53	22	m.	m.	NOUN
iajs-2146	53	23	let	let	VERB
iajs-2146	53	24	:	:	PUNCT
iajs-2146	53	25	1	1	NUM
iajs-2146	53	26	be	be	AUX
iajs-2146	53	27	firmly	firmly	ADV
iajs-2146	53	28	nonexpansive	nonexpansive	ADJ
iajs-2146	53	29	map	map	NOUN
iajs-2146	53	30	and	and	CCONJ
iajs-2146	53	31	satisfying	satisfy	VERB
iajs-2146	53	32	lipschitz	lipschitz	NOUN
iajs-2146	53	33	,	,	PUNCT
iajs-2146	53	34	be	be	AUX
iajs-2146	53	35	affine	affine	ADJ
iajs-2146	53	36	and	and	CCONJ
iajs-2146	53	37	satisfying	satisfy	VERB
iajs-2146	53	38	condition	condition	NOUN
iajs-2146	53	39	(	(	PUNCT
iajs-2146	53	40	)	)	PUNCT
iajs-2146	53	41	(	(	PUNCT
iajs-2146	53	42	)	)	PUNCT
iajs-2146	53	43	be	be	AUX
iajs-2146	53	44	as	as	ADP
iajs-2146	53	45	in	in	ADP
iajs-2146	53	46	(	(	PUNCT
iajs-2146	53	47	1	1	NUM
iajs-2146	53	48	)	)	PUNCT
iajs-2146	53	49	.	.	PUNCT
iajs-2146	54	1	2	2	NUM
iajs-2146	54	2	-	-	SYM
iajs-2146	54	3	t	t	NOUN
iajs-2146	54	4	:	:	PUNCT
iajs-2146	54	5	b→b	b→b	ADV
iajs-2146	54	6	be	be	AUX
iajs-2146	54	7	firmly	firmly	ADV
iajs-2146	54	8	nonexpansive	nonexpansive	ADJ
iajs-2146	54	9	map	map	NOUN
iajs-2146	54	10	and	and	CCONJ
iajs-2146	54	11	satisfying	satisfy	VERB
iajs-2146	54	12	lipschitz	lipschitz	NOUN
iajs-2146	54	13	,	,	PUNCT
iajs-2146	54	14	s	s	PART
iajs-2146	54	15	:	:	PUNCT
iajs-2146	54	16	b→b	b→b	ADV
iajs-2146	54	17	be	be	AUX
iajs-2146	54	18	satisfying	satisfy	VERB
iajs-2146	54	19	condition	condition	NOUN
iajs-2146	54	20	(	(	PUNCT
iajs-2146	54	21	)	)	PUNCT
iajs-2146	54	22	(	(	PUNCT
iajs-2146	54	23	)	)	PUNCT
iajs-2146	54	24	be	be	AUX
iajs-2146	54	25	as	as	ADP
iajs-2146	54	26	in	in	ADP
iajs-2146	54	27	(	(	PUNCT
iajs-2146	54	28	2	2	NUM
iajs-2146	54	29	)	)	PUNCT
iajs-2146	54	30	.	.	PUNCT
iajs-2146	55	1	suppose	suppose	VERB
iajs-2146	55	2	that	that	SCONJ
iajs-2146	55	3	condition	condition	NOUN
iajs-2146	55	4	(	(	PUNCT
iajs-2146	55	5	)	)	PUNCT
iajs-2146	55	6	holds	hold	VERB
iajs-2146	55	7	.	.	PUNCT
iajs-2146	56	1	if	if	SCONJ
iajs-2146	56	2	(	(	PUNCT
iajs-2146	56	3	)	)	PUNCT
iajs-2146	56	4	,	,	PUNCT
iajs-2146	56	5	then	then	ADV
iajs-2146	56	6	‖	‖	PROPN
iajs-2146	56	7	‖	‖	PROPN
iajs-2146	56	8	‖	‖	PROPN
iajs-2146	56	9	‖	‖	PROPN
iajs-2146	56	10	‖	‖	PROPN
iajs-2146	56	11	‖	‖	PROPN
iajs-2146	56	12	‖	‖	PROPN
iajs-2146	56	13	‖	‖	PROPN
iajs-2146	56	14	proof	proof	NOUN
iajs-2146	56	15	:	:	PUNCT
iajs-2146	56	16	let	let	VERB
iajs-2146	56	17	*	*	PUNCT
iajs-2146	56	18	(	(	PUNCT
iajs-2146	56	19	)	)	PUNCT
iajs-2146	56	20	.	.	PUNCT
iajs-2146	57	1	1as	1as	NOUN
iajs-2146	57	2	proved	prove	VERB
iajs-2146	57	3	by	by	ADP
iajs-2146	57	4	lemma	lemma	PROPN
iajs-2146	57	5	(	(	PUNCT
iajs-2146	57	6	9	9	NUM
iajs-2146	57	7	)	)	PUNCT
iajs-2146	57	8	,	,	PUNCT
iajs-2146	57	9	‖	‖	PROPN
iajs-2146	58	1	‖	‖	PROPN
iajs-2146	58	2	exists	exist	VERB
iajs-2146	58	3	.	.	PUNCT
iajs-2146	59	1	suppose	suppose	VERB
iajs-2146	59	2	that	that	SCONJ
iajs-2146	59	3	‖	‖	PROPN
iajs-2146	59	4	‖	‖	PROPN
iajs-2146	59	5	if	if	SCONJ
iajs-2146	59	6	there	there	PRON
iajs-2146	59	7	is	be	VERB
iajs-2146	59	8	nothing	nothing	PRON
iajs-2146	59	9	to	to	PART
iajs-2146	59	10	prove	prove	VERB
iajs-2146	59	11	.	.	PUNCT
iajs-2146	60	1	now	now	ADV
iajs-2146	60	2	,	,	PUNCT
iajs-2146	60	3	suppose	suppose	VERB
iajs-2146	60	4	,	,	PUNCT
iajs-2146	60	5	since	since	ADV
iajs-2146	60	6	,	,	PUNCT
iajs-2146	60	7	‖	‖	PROPN
iajs-2146	60	8	‖	‖	PROPN
iajs-2146	60	9	‖	‖	PROPN
iajs-2146	60	10	‖	‖	PROPN
iajs-2146	60	11	‖	‖	PROPN
iajs-2146	60	12	‖	‖	PROPN
iajs-2146	60	13	‖	‖	PROPN
iajs-2146	60	14	‖	‖	PROPN
iajs-2146	60	15	(	(	PUNCT
iajs-2146	60	16	)	)	PUNCT
iajs-2146	60	17	‖	‖	PROPN
iajs-2146	60	18	‖	‖	PROPN
iajs-2146	60	19	‖	‖	PROPN
iajs-2146	60	20	‖	‖	PROPN
iajs-2146	60	21	‖	‖	PROPN
iajs-2146	60	22	‖	‖	PROPN
iajs-2146	60	23	then	then	ADV
iajs-2146	60	24	‖	‖	PROPN
iajs-2146	60	25	‖	‖	PROPN
iajs-2146	60	26	next	next	ADV
iajs-2146	60	27	consider	consider	VERB
iajs-2146	60	28	‖	‖	ADJ
iajs-2146	60	29	‖	‖	PROPN
iajs-2146	60	30	(	(	PUNCT
iajs-2146	60	31	)	)	PUNCT
iajs-2146	60	32	‖	‖	PROPN
iajs-2146	61	1	‖	‖	PROPN
iajs-2146	61	2	‖	‖	PROPN
iajs-2146	61	3	‖	‖	PROPN
iajs-2146	61	4	by	by	ADP
iajs-2146	61	5	applying	apply	VERB
iajs-2146	61	6	lemma	lemma	PROPN
iajs-2146	61	7	(	(	PUNCT
iajs-2146	61	8	9),we	9),we	NUM
iajs-2146	61	9	obtain	obtain	VERB
iajs-2146	61	10	n	n	CCONJ
iajs-2146	61	11	n	n	CCONJ
iajs-2146	61	12	now	now	ADV
iajs-2146	61	13	‖	‖	ADJ
iajs-2146	61	14	‖	‖	PROPN
iajs-2146	61	15	‖	‖	PROPN
iajs-2146	61	16	‖	‖	PROPN
iajs-2146	61	17	‖	‖	PROPN
iajs-2146	61	18	‖	‖	PROPN
iajs-2146	61	19	‖	‖	PROPN
iajs-2146	61	20	,	,	PUNCT
iajs-2146	61	21	(	(	PUNCT
iajs-2146	61	22	)	)	PUNCT
iajs-2146	61	23	‖	‖	PROPN
iajs-2146	61	24	(	(	PUNCT
iajs-2146	61	25	)	)	PUNCT
iajs-2146	62	1	‖	‖	PROPN
iajs-2146	62	2	‖	‖	PROPN
iajs-2146	62	3	‖	‖	PROPN
iajs-2146	62	4	‖	‖	PROPN
iajs-2146	62	5	by	by	ADP
iajs-2146	62	6	applying	apply	VERB
iajs-2146	62	7	lemma	lemma	PROPN
iajs-2146	62	8	(	(	PUNCT
iajs-2146	62	9	8)	8)	NUM
iajs-2146	62	10	,	,	PUNCT
iajs-2146	62	11	we	we	PRON
iajs-2146	62	12	have	have	VERB
iajs-2146	62	13	‖	‖	ADJ
iajs-2146	62	14	‖	‖	ADJ
iajs-2146	62	15	next	next	ADV
iajs-2146	62	16	,	,	PUNCT
iajs-2146	62	17	by	by	ADP
iajs-2146	62	18	using	use	VERB
iajs-2146	62	19	condition	condition	NOUN
iajs-2146	62	20	(	(	PUNCT
iajs-2146	62	21	i	i	NOUN
iajs-2146	62	22	)	)	PUNCT
iajs-2146	62	23	,	,	PUNCT
iajs-2146	62	24	we	we	PRON
iajs-2146	62	25	obtain	obtain	VERB
iajs-2146	62	26	‖	‖	ADJ
iajs-2146	63	1	‖	‖	PROPN
iajs-2146	63	2	‖	‖	PROPN
iajs-2146	63	3	‖	‖	PROPN
iajs-2146	63	4	‖	‖	PROPN
iajs-2146	63	5	‖	‖	PROPN
iajs-2146	63	6	‖	‖	PROPN
iajs-2146	63	7	‖	‖	PROPN
iajs-2146	63	8	thus	thus	ADV
iajs-2146	63	9	‖	‖	ADJ
iajs-2146	63	10	‖	‖	PROPN
iajs-2146	63	11	2as	2as	PROPN
iajs-2146	63	12	proved	prove	VERB
iajs-2146	63	13	by	by	ADP
iajs-2146	63	14	lemma	lemma	PROPN
iajs-2146	63	15	(	(	PUNCT
iajs-2146	63	16	9	9	NUM
iajs-2146	63	17	)	)	PUNCT
iajs-2146	63	18	,	,	PUNCT
iajs-2146	64	1	‖	‖	PROPN
iajs-2146	64	2	‖	‖	PROPN
iajs-2146	64	3	exists	exist	VERB
iajs-2146	64	4	.	.	PUNCT
iajs-2146	65	1	suppose	suppose	VERB
iajs-2146	65	2	that	that	SCONJ
iajs-2146	65	3	‖	‖	PROPN
iajs-2146	65	4	‖	‖	PROPN
iajs-2146	65	5	if	if	SCONJ
iajs-2146	65	6	there	there	PRON
iajs-2146	65	7	is	be	VERB
iajs-2146	65	8	nothing	nothing	PRON
iajs-2146	65	9	to	to	PART
iajs-2146	65	10	prove	prove	VERB
iajs-2146	65	11	.	.	PUNCT
iajs-2146	66	1	now	now	ADV
iajs-2146	66	2	,	,	PUNCT
iajs-2146	66	3	suppose	suppose	VERB
iajs-2146	66	4	,	,	PUNCT
iajs-2146	66	5	since	since	SCONJ
iajs-2146	66	6	‖	‖	PROPN
iajs-2146	66	7	‖	‖	PROPN
iajs-2146	66	8	‖	‖	PROPN
iajs-2146	66	9	‖	‖	PROPN
iajs-2146	66	10	and	and	CCONJ
iajs-2146	66	11	as	as	SCONJ
iajs-2146	66	12	proved	prove	VERB
iajs-2146	66	13	by	by	ADP
iajs-2146	66	14	lemma	lemma	PROPN
iajs-2146	66	15	(	(	PUNCT
iajs-2146	66	16	3.1	3.1	NUM
iajs-2146	66	17	)	)	PUNCT
iajs-2146	66	18	‖	‖	PROPN
iajs-2146	66	19	‖	‖	PROPN
iajs-2146	66	20	‖	‖	PROPN
iajs-2146	66	21	‖	‖	PROPN
iajs-2146	66	22	‖	‖	PROPN
iajs-2146	66	23	‖	‖	PROPN
iajs-2146	66	24	‖	‖	PROPN
iajs-2146	66	25	‖.	‖.	PROPN
iajs-2146	66	26	then	then	ADV
iajs-2146	66	27	,	,	PUNCT
iajs-2146	66	28	‖	‖	PROPN
iajs-2146	66	29	‖	‖	PROPN
iajs-2146	66	30	‖	‖	PROPN
iajs-2146	66	31	‖	‖	PROPN
iajs-2146	66	32	‖	‖	PROPN
iajs-2146	66	33	‖	‖	PROPN
iajs-2146	66	34	moreover	moreover	ADV
iajs-2146	66	35	‖	‖	PROPN
iajs-2146	66	36	‖	‖	PROPN
iajs-2146	66	37	‖	‖	PROPN
iajs-2146	66	38	‖	‖	PROPN
iajs-2146	66	39	(	(	PUNCT
iajs-2146	66	40	)	)	PUNCT
iajs-2146	66	41	‖	‖	PROPN
iajs-2146	66	42	‖	‖	PROPN
iajs-2146	66	43	‖	‖	PROPN
iajs-2146	66	44	‖	‖	PROPN
iajs-2146	66	45	85	85	NUM
iajs-2146	66	46	lbn	lbn	PROPN
iajs-2146	66	47	al	al	PROPN
iajs-2146	66	48	-	-	PUNCT
iajs-2146	66	49	haitham	haitham	PROPN
iajs-2146	66	50	jour.for	jour.for	ADP
iajs-2146	66	51	pure	pure	ADJ
iajs-2146	66	52	&	&	CCONJ
iajs-2146	66	53	appl	appl	PROPN
iajs-2146	66	54	.sci	.sci	PROPN
iajs-2146	66	55	.	.	PUNCT
iajs-2146	67	1	32	32	NUM
iajs-2146	67	2	(	(	PUNCT
iajs-2146	67	3	2	2	NUM
iajs-2146	67	4	)	)	PUNCT
iajs-2146	67	5	2019	2019	NUM
iajs-2146	67	6	by	by	ADP
iajs-2146	67	7	applying	apply	VERB
iajs-2146	67	8	lemma	lemma	PROPN
iajs-2146	67	9	(	(	PUNCT
iajs-2146	67	10	9	9	NUM
iajs-2146	67	11	)	)	PUNCT
iajs-2146	68	1	,	,	PUNCT
iajs-2146	68	2	we	we	PRON
iajs-2146	68	3	get	get	VERB
iajs-2146	68	4	‖	‖	ADJ
iajs-2146	68	5	‖	‖	PROPN
iajs-2146	68	6	now	now	ADV
iajs-2146	68	7	‖	‖	ADJ
iajs-2146	68	8	‖	‖	ADJ
iajs-2146	68	9	(	(	PUNCT
iajs-2146	68	10	)	)	PUNCT
iajs-2146	68	11	‖	‖	PROPN
iajs-2146	68	12	‖	‖	PROPN
iajs-2146	68	13	‖	‖	PROPN
iajs-2146	68	14	‖	‖	PROPN
iajs-2146	68	15	then	then	ADV
iajs-2146	68	16	,	,	PUNCT
iajs-2146	68	17	‖	‖	PROPN
iajs-2146	68	18	‖	‖	PROPN
iajs-2146	68	19	since	since	ADV
iajs-2146	68	20	,	,	PUNCT
iajs-2146	68	21	‖	‖	PROPN
iajs-2146	68	22	‖	‖	PROPN
iajs-2146	68	23	‖	‖	PROPN
iajs-2146	68	24	‖	‖	PROPN
iajs-2146	68	25	‖	‖	PROPN
iajs-2146	68	26	‖	‖	PROPN
iajs-2146	68	27	‖	‖	PROPN
iajs-2146	68	28	‖	‖	PROPN
iajs-2146	68	29	which	which	PRON
iajs-2146	68	30	implies	imply	VERB
iajs-2146	68	31	to	to	PART
iajs-2146	68	32	‖	‖	PROPN
iajs-2146	68	33	‖	‖	PROPN
iajs-2146	68	34	that	that	PRON
iajs-2146	68	35	gives	give	VERB
iajs-2146	68	36	‖	‖	PROPN
iajs-2146	68	37	‖	‖	PROPN
iajs-2146	68	38	,	,	PUNCT
iajs-2146	68	39	so	so	ADV
iajs-2146	68	40	‖	‖	PROPN
iajs-2146	68	41	‖	‖	PROPN
iajs-2146	68	42	(	(	PUNCT
iajs-2146	68	43	)	)	PUNCT
iajs-2146	68	44	‖	‖	PROPN
iajs-2146	68	45	‖	‖	PROPN
iajs-2146	68	46	‖	‖	PROPN
iajs-2146	68	47	‖	‖	PROPN
iajs-2146	68	48	(	(	PUNCT
iajs-2146	68	49	)	)	PUNCT
iajs-2146	68	50	‖	‖	PROPN
iajs-2146	68	51	‖	‖	PROPN
iajs-2146	68	52	‖	‖	PROPN
iajs-2146	68	53	‖	‖	PROPN
iajs-2146	68	54	by	by	ADP
iajs-2146	68	55	lemma	lemma	PROPN
iajs-2146	68	56	(	(	PUNCT
iajs-2146	68	57	9	9	NUM
iajs-2146	68	58	)	)	PUNCT
iajs-2146	68	59	,	,	PUNCT
iajs-2146	68	60	we	we	PRON
iajs-2146	68	61	obtain	obtain	VERB
iajs-2146	68	62	:	:	PUNCT
iajs-2146	68	63	‖	‖	PROPN
iajs-2146	68	64	‖	‖	PROPN
iajs-2146	68	65	next	next	ADJ
iajs-2146	68	66	‖	‖	PROPN
iajs-2146	68	67	‖	‖	PROPN
iajs-2146	68	68	‖	‖	PROPN
iajs-2146	68	69	‖	‖	PROPN
iajs-2146	68	70	‖	‖	PROPN
iajs-2146	68	71	‖	‖	PROPN
iajs-2146	68	72	‖	‖	PROPN
iajs-2146	68	73	‖	‖	PROPN
iajs-2146	68	74	letting	let	VERB
iajs-2146	68	75	n→∞	n→∞	NUM
iajs-2146	68	76	,	,	PUNCT
iajs-2146	68	77	we	we	PRON
iajs-2146	68	78	have	have	VERB
iajs-2146	68	79	:	:	PUNCT
iajs-2146	68	80	‖	‖	PROPN
iajs-2146	68	81	‖	‖	PROPN
iajs-2146	68	82	‖	‖	PROPN
iajs-2146	68	83	‖	‖	PROPN
iajs-2146	68	84	that	that	PRON
iajs-2146	68	85	means	mean	VERB
iajs-2146	68	86	‖	‖	ADJ
iajs-2146	68	87	‖	‖	PROPN
iajs-2146	68	88	4	4	NUM
iajs-2146	68	89	.	.	PUNCT
iajs-2146	68	90	convergence	convergence	NOUN
iajs-2146	68	91	and	and	CCONJ
iajs-2146	68	92	equivalence	equivalence	NOUN
iajs-2146	68	93	results	result	NOUN
iajs-2146	68	94	theorem	theorem	ADJ
iajs-2146	68	95	(	(	PUNCT
iajs-2146	68	96	11	11	NUM
iajs-2146	68	97	):	):	PUNCT
iajs-2146	68	98	let	let	VERB
iajs-2146	68	99	m	m	PRON
iajs-2146	68	100	be	be	AUX
iajs-2146	68	101	a	a	DET
iajs-2146	68	102	uniformly	uniformly	ADV
iajs-2146	68	103	convex	convex	NOUN
iajs-2146	68	104	banach	banach	NOUN
iajs-2146	68	105	space	space	NOUN
iajs-2146	68	106	.	.	PUNCT
iajs-2146	69	1	let	let	VERB
iajs-2146	69	2	(	(	PUNCT
iajs-2146	69	3	n	n	CCONJ
iajs-2146	69	4	)	)	PUNCT
iajs-2146	69	5	(	(	PUNCT
iajs-2146	69	6	n	n	CCONJ
iajs-2146	69	7	)	)	PUNCT
iajs-2146	69	8	be	be	AUX
iajs-2146	69	9	as	as	ADP
iajs-2146	69	10	in	in	ADP
iajs-2146	69	11	lemma	lemma	PROPN
iajs-2146	69	12	(	(	PUNCT
iajs-2146	69	13	10	10	NUM
iajs-2146	69	14	)	)	PUNCT
iajs-2146	69	15	and	and	CCONJ
iajs-2146	69	16	t	t	PROPN
iajs-2146	69	17	,	,	PUNCT
iajs-2146	69	18	s	s	VERB
iajs-2146	69	19	satisfying	satisfy	VERB
iajs-2146	69	20	condition	condition	NOUN
iajs-2146	69	21	(	(	PUNCT
iajs-2146	69	22	a	a	NOUN
iajs-2146	69	23	)	)	PUNCT
iajs-2146	69	24	.	.	PUNCT
iajs-2146	70	1	if	if	SCONJ
iajs-2146	70	2	(	(	PUNCT
iajs-2146	70	3	)	)	PUNCT
iajs-2146	70	4	,	,	PUNCT
iajs-2146	70	5	then	then	ADV
iajs-2146	70	6	(	(	PUNCT
iajs-2146	70	7	n	n	CCONJ
iajs-2146	70	8	)	)	PUNCT
iajs-2146	70	9	(	(	PUNCT
iajs-2146	70	10	n	n	CCONJ
iajs-2146	70	11	)	)	PUNCT
iajs-2146	70	12	converge	converge	VERB
iajs-2146	70	13	strongly	strongly	ADV
iajs-2146	70	14	to	to	ADP
iajs-2146	70	15	a	a	DET
iajs-2146	70	16	common	common	ADJ
iajs-2146	70	17	fixed	fix	VERB
iajs-2146	70	18	point	point	NOUN
iajs-2146	70	19	of	of	ADP
iajs-2146	70	20	t	t	PROPN
iajs-2146	70	21	and	and	CCONJ
iajs-2146	70	22	s.	s.	PROPN
iajs-2146	70	23	proof	proof	PROPN
iajs-2146	70	24	:	:	PUNCT
iajs-2146	70	25	now	now	ADV
iajs-2146	70	26	,	,	PUNCT
iajs-2146	70	27	we	we	PRON
iajs-2146	70	28	will	will	AUX
iajs-2146	70	29	show	show	VERB
iajs-2146	70	30	that	that	SCONJ
iajs-2146	70	31	(	(	PUNCT
iajs-2146	70	32	)	)	PUNCT
iajs-2146	70	33	is	be	AUX
iajs-2146	70	34	strong	strong	ADJ
iajs-2146	70	35	convergence	convergence	NOUN
iajs-2146	70	36	.	.	PUNCT
iajs-2146	71	1	by	by	ADP
iajs-2146	71	2	lemma	lemma	PROPN
iajs-2146	71	3	(	(	PUNCT
iajs-2146	71	4	10	10	NUM
iajs-2146	71	5	)	)	PUNCT
iajs-2146	71	6	,	,	PUNCT
iajs-2146	71	7	‖	‖	PROPN
iajs-2146	71	8	‖	‖	PROPN
iajs-2146	71	9	exists	exist	VERB
iajs-2146	71	10	.	.	PUNCT
iajs-2146	72	1	suppose	suppose	VERB
iajs-2146	72	2	that	that	SCONJ
iajs-2146	72	3	‖	‖	PROPN
iajs-2146	72	4	‖	‖	PROPN
iajs-2146	72	5	from	from	ADP
iajs-2146	72	6	lemma	lemma	PROPN
iajs-2146	72	7	(	(	PUNCT
iajs-2146	72	8	9	9	NUM
iajs-2146	72	9	)	)	PUNCT
iajs-2146	72	10	,	,	PUNCT
iajs-2146	72	11	we	we	PRON
iajs-2146	72	12	have	have	VERB
iajs-2146	72	13	‖	‖	VERB
iajs-2146	72	14	‖	‖	PROPN
iajs-2146	72	15	‖	‖	PROPN
iajs-2146	72	16	‖	‖	PROPN
iajs-2146	72	17	that	that	PRON
iajs-2146	72	18	gives	give	VERB
iajs-2146	72	19	‖	‖	PROPN
iajs-2146	72	20	‖	‖	PROPN
iajs-2146	72	21	‖	‖	PROPN
iajs-2146	72	22	‖	‖	PROPN
iajs-2146	72	23	which	which	PRON
iajs-2146	72	24	means	mean	VERB
iajs-2146	72	25	,	,	PUNCT
iajs-2146	72	26	(	(	PUNCT
iajs-2146	72	27	)	)	PUNCT
iajs-2146	72	28	(	(	PUNCT
iajs-2146	72	29	)	)	PUNCT
iajs-2146	72	30	→	→	SYM
iajs-2146	72	31	(	(	PUNCT
iajs-2146	72	32	)	)	PUNCT
iajs-2146	72	33	by	by	ADP
iajs-2146	72	34	using	use	VERB
iajs-2146	72	35	condition	condition	NOUN
iajs-2146	72	36	(	(	PUNCT
iajs-2146	72	37	a	a	X
iajs-2146	72	38	)	)	PUNCT
iajs-2146	72	39	,	,	PUNCT
iajs-2146	72	40	we	we	PRON
iajs-2146	72	41	have	have	AUX
iajs-2146	72	42	(	(	PUNCT
iajs-2146	72	43	(	(	PUNCT
iajs-2146	72	44	)	)	PUNCT
iajs-2146	72	45	‖	‖	PROPN
iajs-2146	72	46	‖	‖	PROPN
iajs-2146	72	47	or	or	CCONJ
iajs-2146	72	48	(	(	PUNCT
iajs-2146	72	49	(	(	PUNCT
iajs-2146	72	50	)	)	PUNCT
iajs-2146	72	51	‖	‖	PROPN
iajs-2146	72	52	‖	‖	PROPN
iajs-2146	72	53	in	in	ADP
iajs-2146	72	54	both	both	DET
iajs-2146	72	55	situations	situation	NOUN
iajs-2146	72	56	,	,	PUNCT
iajs-2146	72	57	we	we	PRON
iajs-2146	72	58	obtain	obtain	VERB
iajs-2146	72	59	(	(	PUNCT
iajs-2146	72	60	(	(	PUNCT
iajs-2146	72	61	)	)	PUNCT
iajs-2146	72	62	since	since	SCONJ
iajs-2146	72	63	g	g	PROPN
iajs-2146	72	64	is	be	AUX
iajs-2146	72	65	a	a	DET
iajs-2146	72	66	non	non	ADJ
iajs-2146	72	67	-	-	ADJ
iajs-2146	72	68	decreasing	decrease	VERB
iajs-2146	72	69	function	function	NOUN
iajs-2146	72	70	and	and	CCONJ
iajs-2146	72	71	(	(	PUNCT
iajs-2146	72	72	)	)	PUNCT
iajs-2146	72	73	it	it	PRON
iajs-2146	72	74	follows	follow	VERB
iajs-2146	72	75	that	that	PRON
iajs-2146	72	76	(	(	PUNCT
iajs-2146	72	77	)	)	PUNCT
iajs-2146	72	78	now	now	ADV
iajs-2146	72	79	to	to	PART
iajs-2146	72	80	show	show	VERB
iajs-2146	72	81	that	that	SCONJ
iajs-2146	72	82	(	(	PUNCT
iajs-2146	72	83	)	)	PUNCT
iajs-2146	72	84	is	be	AUX
iajs-2146	72	85	a	a	DET
iajs-2146	72	86	cauchy	cauchy	ADJ
iajs-2146	72	87	sequence	sequence	NOUN
iajs-2146	72	88	in	in	ADP
iajs-2146	72	89	b.	b.	PROPN
iajs-2146	73	1	let	let	VERB
iajs-2146	73	2	(	(	PUNCT
iajs-2146	73	3	)	)	PUNCT
iajs-2146	73	4	a	a	DET
iajs-2146	73	5	positive	positive	ADJ
iajs-2146	73	6	integer	integer	NOUN
iajs-2146	73	7	,	,	PUNCT
iajs-2146	73	8	such	such	ADJ
iajs-2146	73	9	that	that	SCONJ
iajs-2146	73	10	:	:	PUNCT
iajs-2146	73	11	(	(	PUNCT
iajs-2146	73	12	)	)	PUNCT
iajs-2146	73	13	86	86	NUM
iajs-2146	73	14	lbn	lbn	PROPN
iajs-2146	73	15	al	al	PROPN
iajs-2146	73	16	-	-	PUNCT
iajs-2146	73	17	haitham	haitham	PROPN
iajs-2146	73	18	jour.for	jour.for	ADP
iajs-2146	73	19	pure	pure	ADJ
iajs-2146	73	20	&	&	CCONJ
iajs-2146	73	21	appl	appl	PROPN
iajs-2146	73	22	.sci	.sci	PROPN
iajs-2146	73	23	.	.	PUNCT
iajs-2146	74	1	32	32	NUM
iajs-2146	74	2	(	(	PUNCT
iajs-2146	74	3	2	2	NUM
iajs-2146	74	4	)	)	PUNCT
iajs-2146	74	5	2019	2019	NUM
iajs-2146	74	6	in	in	ADP
iajs-2146	74	7	particular	particular	ADJ
iajs-2146	74	8	.	.	PUNCT
iajs-2146	75	1	*	*	PUNCT
iajs-2146	75	2	‖	‖	PROPN
iajs-2146	75	3	‖	‖	PROPN
iajs-2146	75	4	+	+	PROPN
iajs-2146	75	5	thus	thus	ADV
iajs-2146	75	6	,	,	PUNCT
iajs-2146	75	7	it	it	PRON
iajs-2146	75	8	must	must	AUX
iajs-2146	75	9	exist	exist	VERB
iajs-2146	75	10	(	(	PUNCT
iajs-2146	75	11	)	)	PUNCT
iajs-2146	75	12	such	such	ADJ
iajs-2146	75	13	that	that	PRON
iajs-2146	75	14	‖	‖	PROPN
iajs-2146	75	15	‖	‖	PROPN
iajs-2146	75	16	.	.	PUNCT
iajs-2146	76	1	now	now	ADV
iajs-2146	76	2	,	,	PUNCT
iajs-2146	76	3	,	,	PUNCT
iajs-2146	76	4	we	we	PRON
iajs-2146	76	5	obtain	obtain	VERB
iajs-2146	76	6	:	:	PUNCT
iajs-2146	76	7	‖	‖	PROPN
iajs-2146	76	8	‖	‖	PROPN
iajs-2146	76	9	‖	‖	PROPN
iajs-2146	76	10	‖	‖	PROPN
iajs-2146	76	11	‖	‖	PROPN
iajs-2146	76	12	‖	‖	PROPN
iajs-2146	76	13	hence	hence	ADV
iajs-2146	76	14	,	,	PUNCT
iajs-2146	76	15	(	(	PUNCT
iajs-2146	76	16	)	)	PUNCT
iajs-2146	76	17	is	be	AUX
iajs-2146	76	18	cauchy	cauchy	ADJ
iajs-2146	76	19	sequence	sequence	NOUN
iajs-2146	76	20	in	in	ADP
iajs-2146	76	21	the	the	DET
iajs-2146	76	22	b	b	NOUN
iajs-2146	76	23	of	of	ADP
iajs-2146	76	24	m.	m.	NOUN
iajs-2146	76	25	then	then	ADV
iajs-2146	76	26	(	(	PUNCT
iajs-2146	76	27	)	)	PUNCT
iajs-2146	76	28	converges	converge	VERB
iajs-2146	76	29	to	to	ADP
iajs-2146	76	30	a	a	DET
iajs-2146	76	31	point	point	NOUN
iajs-2146	76	32	(	(	PUNCT
iajs-2146	76	33	)	)	PUNCT
iajs-2146	76	34	→	→	SYM
iajs-2146	76	35	(	(	PUNCT
iajs-2146	76	36	)	)	PUNCT
iajs-2146	76	37	since	since	SCONJ
iajs-2146	76	38	f	f	PROPN
iajs-2146	76	39	is	be	AUX
iajs-2146	76	40	closed	closed	ADJ
iajs-2146	76	41	,	,	PUNCT
iajs-2146	76	42	hence	hence	ADV
iajs-2146	76	43	(	(	PUNCT
iajs-2146	76	44	)	)	PUNCT
iajs-2146	76	45	by	by	ADP
iajs-2146	76	46	utilizing	utilize	VERB
iajs-2146	76	47	the	the	DET
iajs-2146	76	48	same	same	ADJ
iajs-2146	76	49	procedure	procedure	NOUN
iajs-2146	76	50	,	,	PUNCT
iajs-2146	76	51	we	we	PRON
iajs-2146	76	52	can	can	AUX
iajs-2146	76	53	prove	prove	VERB
iajs-2146	76	54	(	(	PUNCT
iajs-2146	76	55	zn	zn	NOUN
iajs-2146	76	56	)	)	PUNCT
iajs-2146	76	57	convergence	convergence	NOUN
iajs-2146	76	58	strongly	strongly	ADV
iajs-2146	76	59	.	.	PUNCT
iajs-2146	77	1	theorem	theorem	NOUN
iajs-2146	77	2	(	(	PUNCT
iajs-2146	77	3	12	12	NUM
iajs-2146	77	4	):	):	PUNCT
iajs-2146	77	5	let	let	VERB
iajs-2146	77	6	be	be	AUX
iajs-2146	77	7	a	a	DET
iajs-2146	77	8	firmly	firmly	ADV
iajs-2146	77	9	nonexpansive	nonexpansive	ADJ
iajs-2146	77	10	and	and	CCONJ
iajs-2146	77	11	satisfying	satisfy	VERB
iajs-2146	77	12	lipschitz	lipschitz	NOUN
iajs-2146	77	13	,	,	PUNCT
iajs-2146	77	14	satisfying	satisfy	VERB
iajs-2146	77	15	condition	condition	NOUN
iajs-2146	77	16	(	(	PUNCT
iajs-2146	77	17	)	)	PUNCT
iajs-2146	77	18	,	,	PUNCT
iajs-2146	77	19	with	with	ADP
iajs-2146	77	20	(	(	PUNCT
iajs-2146	77	21	)	)	PUNCT
iajs-2146	77	22	and	and	CCONJ
iajs-2146	77	23	,	,	PUNCT
iajs-2146	77	24	1-	1-	X
iajs-2146	77	25	(	(	PUNCT
iajs-2146	77	26	)	)	PUNCT
iajs-2146	77	27	be	be	AUX
iajs-2146	77	28	as	as	ADP
iajs-2146	77	29	in	in	ADP
iajs-2146	77	30	(	(	PUNCT
iajs-2146	77	31	1	1	NUM
iajs-2146	77	32	)	)	PUNCT
iajs-2146	77	33	and	and	CCONJ
iajs-2146	77	34	(	(	PUNCT
iajs-2146	77	35	)	)	PUNCT
iajs-2146	77	36	(	(	PUNCT
iajs-2146	77	37	)	)	PUNCT
iajs-2146	77	38	satisfying	satisfy	VERB
iajs-2146	77	39	∑	∑	PUNCT
iajs-2146	77	40	.	.	PUNCT
iajs-2146	78	1	2-	2-	X
iajs-2146	78	2	(	(	PUNCT
iajs-2146	78	3	)	)	PUNCT
iajs-2146	78	4	be	be	AUX
iajs-2146	78	5	as	as	ADP
iajs-2146	78	6	in	in	ADP
iajs-2146	78	7	(	(	PUNCT
iajs-2146	78	8	2	2	NUM
iajs-2146	78	9	)	)	PUNCT
iajs-2146	78	10	and	and	CCONJ
iajs-2146	78	11	(	(	PUNCT
iajs-2146	78	12	)	)	PUNCT
iajs-2146	78	13	(	(	PUNCT
iajs-2146	78	14	)	)	PUNCT
iajs-2146	78	15	(	(	PUNCT
iajs-2146	78	16	)	)	PUNCT
iajs-2146	78	17	,	,	PUNCT
iajs-2146	78	18	satisfying	satisfy	VERB
iajs-2146	78	19	∑	∑	PUNCT
iajs-2146	78	20	then	then	ADV
iajs-2146	78	21	(	(	PUNCT
iajs-2146	78	22	)	)	PUNCT
iajs-2146	78	23	&	&	CCONJ
iajs-2146	78	24	(	(	PUNCT
iajs-2146	78	25	)	)	PUNCT
iajs-2146	78	26	converge	converge	VERB
iajs-2146	78	27	to	to	ADP
iajs-2146	78	28	a	a	DET
iajs-2146	78	29	unique	unique	ADJ
iajs-2146	78	30	common	common	ADJ
iajs-2146	78	31	fixed	fix	VERB
iajs-2146	78	32	point	point	NOUN
iajs-2146	78	33	(	(	PUNCT
iajs-2146	78	34	)	)	PUNCT
iajs-2146	78	35	proof	proof	NOUN
iajs-2146	78	36	:	:	PUNCT
iajs-2146	78	37	1-‖	1-‖	NUM
iajs-2146	78	38	‖	‖	PROPN
iajs-2146	78	39	(	(	PUNCT
iajs-2146	78	40	)	)	PUNCT
iajs-2146	78	41	‖	‖	PROPN
iajs-2146	78	42	‖	‖	PROPN
iajs-2146	78	43	‖	‖	PROPN
iajs-2146	78	44	‖	‖	PROPN
iajs-2146	78	45	(	(	PUNCT
iajs-2146	78	46	)	)	PUNCT
iajs-2146	78	47	‖	‖	PROPN
iajs-2146	78	48	‖	‖	PROPN
iajs-2146	78	49	,	,	PUNCT
iajs-2146	78	50	(	(	PUNCT
iajs-2146	78	51	)	)	PUNCT
iajs-2146	78	52	-‖	-‖	PROPN
iajs-2146	78	53	‖	‖	PROPN
iajs-2146	78	54	suppose	suppose	VERB
iajs-2146	78	55	(	(	PUNCT
iajs-2146	78	56	)	)	PUNCT
iajs-2146	78	57	(	(	PUNCT
iajs-2146	78	58	(	(	PUNCT
iajs-2146	78	59	)	)	PUNCT
iajs-2146	78	60	)	)	PUNCT
iajs-2146	79	1	‖	‖	PROPN
iajs-2146	79	2	‖	‖	PROPN
iajs-2146	79	3	‖	‖	PROPN
iajs-2146	79	4	‖	‖	PROPN
iajs-2146	79	5	‖	‖	PROPN
iajs-2146	79	6	‖	‖	PROPN
iajs-2146	79	7	‖	‖	PROPN
iajs-2146	79	8	‖	‖	PROPN
iajs-2146	79	9	(	(	PUNCT
iajs-2146	79	10	(	(	PUNCT
iajs-2146	79	11	)	)	PUNCT
iajs-2146	79	12	)	)	PUNCT
iajs-2146	80	1	‖	‖	PROPN
iajs-2146	80	2	‖	‖	VERB
iajs-2146	80	3	by	by	ADP
iajs-2146	80	4	induction	induction	NOUN
iajs-2146	81	1	‖	‖	PROPN
iajs-2146	81	2	‖	‖	PROPN
iajs-2146	81	3	∏	∏	PROPN
iajs-2146	81	4	(	(	PUNCT
iajs-2146	81	5	(	(	PUNCT
iajs-2146	81	6	)	)	PUNCT
iajs-2146	81	7	)	)	PUNCT
iajs-2146	82	1	‖	‖	PROPN
iajs-2146	82	2	‖	‖	PROPN
iajs-2146	82	3	‖	‖	PROPN
iajs-2146	82	4	‖	‖	PROPN
iajs-2146	82	5	(	(	PUNCT
iajs-2146	82	6	)	)	PUNCT
iajs-2146	82	7	∑	∑	ADP
iajs-2146	82	8	since	since	SCONJ
iajs-2146	82	9	∑	∑	PROPN
iajs-2146	82	10	(	(	PUNCT
iajs-2146	82	11	)	)	PUNCT
iajs-2146	82	12	∑	∑	PUNCT
iajs-2146	82	13	thus	thus	ADV
iajs-2146	82	14	‖	‖	PROPN
iajs-2146	82	15	‖	‖	PROPN
iajs-2146	82	16	2-‖	2-‖	NUM
iajs-2146	82	17	‖	‖	ADJ
iajs-2146	82	18	(	(	PUNCT
iajs-2146	82	19	)	)	PUNCT
iajs-2146	82	20	‖	‖	PROPN
iajs-2146	82	21	‖	‖	PROPN
iajs-2146	82	22	‖	‖	PROPN
iajs-2146	82	23	‖	‖	PROPN
iajs-2146	82	24	(	(	PUNCT
iajs-2146	82	25	)	)	PUNCT
iajs-2146	82	26	‖	‖	PROPN
iajs-2146	82	27	‖	‖	PROPN
iajs-2146	82	28	,	,	PUNCT
iajs-2146	82	29	(	(	PUNCT
iajs-2146	82	30	)	)	PUNCT
iajs-2146	82	31	-‖	-‖	PROPN
iajs-2146	82	32	‖	‖	PROPN
iajs-2146	82	33	setting	set	VERB
iajs-2146	82	34	(	(	PUNCT
iajs-2146	82	35	)	)	PUNCT
iajs-2146	82	36	(	(	PUNCT
iajs-2146	82	37	)	)	PUNCT
iajs-2146	82	38	‖	‖	PROPN
iajs-2146	82	39	‖	‖	PROPN
iajs-2146	82	40	‖	‖	PROPN
iajs-2146	82	41	‖	‖	PROPN
iajs-2146	82	42	(	(	PUNCT
iajs-2146	82	43	)	)	PUNCT
iajs-2146	82	44	‖	‖	PROPN
iajs-2146	82	45	‖	‖	PROPN
iajs-2146	82	46	‖	‖	PROPN
iajs-2146	82	47	‖	‖	PROPN
iajs-2146	82	48	(	(	PUNCT
iajs-2146	82	49	)	)	PUNCT
iajs-2146	82	50	‖	‖	PROPN
iajs-2146	82	51	‖	‖	PROPN
iajs-2146	82	52	‖	‖	PROPN
iajs-2146	82	53	‖	‖	PROPN
iajs-2146	82	54	(	(	PUNCT
iajs-2146	82	55	)	)	PUNCT
iajs-2146	82	56	‖	‖	PROPN
iajs-2146	82	57	‖	‖	PROPN
iajs-2146	82	58	(	(	PUNCT
iajs-2146	82	59	)	)	PUNCT
iajs-2146	82	60	‖	‖	PROPN
iajs-2146	82	61	‖	‖	PROPN
iajs-2146	82	62	(	(	PUNCT
iajs-2146	82	63	)	)	PUNCT
iajs-2146	82	64	‖	‖	PROPN
iajs-2146	82	65	‖	‖	PROPN
iajs-2146	82	66	(	(	PUNCT
iajs-2146	82	67	)	)	PUNCT
iajs-2146	82	68	‖	‖	PROPN
iajs-2146	82	69	‖	‖	PROPN
iajs-2146	82	70	now	now	ADV
iajs-2146	82	71	‖	‖	ADJ
iajs-2146	82	72	‖	‖	ADJ
iajs-2146	82	73	(	(	PUNCT
iajs-2146	82	74	)	)	PUNCT
iajs-2146	82	75	‖	‖	PROPN
iajs-2146	82	76	‖	‖	PROPN
iajs-2146	82	77	‖	‖	PROPN
iajs-2146	82	78	‖	‖	PROPN
iajs-2146	82	79	(	(	PUNCT
iajs-2146	82	80	)	)	PUNCT
iajs-2146	82	81	‖	‖	PROPN
iajs-2146	82	82	‖	‖	PROPN
iajs-2146	82	83	‖	‖	PROPN
iajs-2146	82	84	‖	‖	PROPN
iajs-2146	82	85	(	(	PUNCT
iajs-2146	82	86	)	)	PUNCT
iajs-2146	82	87	‖	‖	PROPN
iajs-2146	82	88	‖	‖	PROPN
iajs-2146	82	89	(	(	PUNCT
iajs-2146	82	90	)	)	PUNCT
iajs-2146	82	91	‖	‖	PROPN
iajs-2146	82	92	‖	‖	PROPN
iajs-2146	82	93	87	87	NUM
iajs-2146	82	94	lbn	lbn	PROPN
iajs-2146	82	95	al	al	PROPN
iajs-2146	82	96	-	-	PUNCT
iajs-2146	82	97	haitham	haitham	PROPN
iajs-2146	82	98	jour.for	jour.for	ADP
iajs-2146	82	99	pure	pure	ADJ
iajs-2146	82	100	&	&	CCONJ
iajs-2146	82	101	appl	appl	PROPN
iajs-2146	82	102	.sci	.sci	PROPN
iajs-2146	82	103	.	.	PUNCT
iajs-2146	83	1	32	32	NUM
iajs-2146	83	2	(	(	PUNCT
iajs-2146	83	3	2	2	NUM
iajs-2146	83	4	)	)	PUNCT
iajs-2146	83	5	2019	2019	NUM
iajs-2146	83	6	(	(	PUNCT
iajs-2146	83	7	)	)	PUNCT
iajs-2146	83	8	‖	‖	PROPN
iajs-2146	83	9	‖	‖	PROPN
iajs-2146	83	10	,	,	PUNCT
iajs-2146	83	11	-‖	-‖	PROPN
iajs-2146	83	12	‖	‖	PROPN
iajs-2146	83	13	,	,	PUNCT
iajs-2146	83	14	-‖	-‖	PROPN
iajs-2146	83	15	‖	‖	VERB
iajs-2146	83	16	by	by	ADP
iajs-2146	83	17	induction	induction	NOUN
iajs-2146	83	18	‖	‖	PROPN
iajs-2146	83	19	‖	‖	PROPN
iajs-2146	83	20	∏	∏	PROPN
iajs-2146	83	21	,	,	PUNCT
iajs-2146	83	22	-‖	-‖	PROPN
iajs-2146	83	23	‖	‖	PROPN
iajs-2146	83	24	‖	‖	PROPN
iajs-2146	83	25	‖	‖	PROPN
iajs-2146	83	26	∑	∑	PROPN
iajs-2146	83	27	since	since	SCONJ
iajs-2146	83	28	∑	∑	PROPN
iajs-2146	83	29	∑	∑	PUNCT
iajs-2146	83	30	thus	thus	ADV
iajs-2146	83	31	,	,	PUNCT
iajs-2146	83	32	‖	‖	PROPN
iajs-2146	83	33	‖	‖	PROPN
iajs-2146	83	34	theorem	theorem	PROPN
iajs-2146	83	35	(	(	PUNCT
iajs-2146	83	36	13	13	NUM
iajs-2146	83	37	):	):	PUNCT
iajs-2146	83	38	let	let	AUX
iajs-2146	83	39	be	be	AUX
iajs-2146	83	40	a	a	DET
iajs-2146	83	41	firmly	firmly	ADV
iajs-2146	83	42	nonexpansive	nonexpansive	ADJ
iajs-2146	83	43	mapping	mapping	NOUN
iajs-2146	83	44	and	and	CCONJ
iajs-2146	83	45	satisfying	satisfy	VERB
iajs-2146	83	46	lipachitz	lipachitz	NOUN
iajs-2146	83	47	,	,	PUNCT
iajs-2146	83	48	satisfying	satisfy	VERB
iajs-2146	83	49	condition	condition	NOUN
iajs-2146	83	50	(	(	PUNCT
iajs-2146	83	51	)	)	PUNCT
iajs-2146	83	52	and	and	CCONJ
iajs-2146	83	53	be	be	AUX
iajs-2146	83	54	a	a	DET
iajs-2146	83	55	common	common	ADJ
iajs-2146	83	56	fixed	fix	VERB
iajs-2146	83	57	point	point	NOUN
iajs-2146	83	58	of	of	ADP
iajs-2146	83	59	s	s	PRON
iajs-2146	83	60	and	and	CCONJ
iajs-2146	83	61	t.	t.	PROPN
iajs-2146	83	62	let	let	VERB
iajs-2146	83	63	(	(	PUNCT
iajs-2146	83	64	)	)	PUNCT
iajs-2146	83	65	and	and	CCONJ
iajs-2146	83	66	(	(	PUNCT
iajs-2146	83	67	)	)	PUNCT
iajs-2146	83	68	be	be	AUX
iajs-2146	83	69	the	the	DET
iajs-2146	83	70	picard	picard	NOUN
iajs-2146	83	71	-	-	PUNCT
iajs-2146	83	72	mann	mann	PROPN
iajs-2146	83	73	and	and	CCONJ
iajs-2146	83	74	noor	noor	PROPN
iajs-2146	83	75	iterations	iteration	NOUN
iajs-2146	83	76	defined	define	VERB
iajs-2146	83	77	in	in	ADP
iajs-2146	83	78	(	(	PUNCT
iajs-2146	83	79	1	1	NUM
iajs-2146	83	80	)	)	PUNCT
iajs-2146	83	81	and	and	CCONJ
iajs-2146	83	82	(	(	PUNCT
iajs-2146	83	83	2	2	NUM
iajs-2146	83	84	)	)	PUNCT
iajs-2146	83	85	.	.	PUNCT
iajs-2146	84	1	suppose	suppose	VERB
iajs-2146	84	2	(	(	PUNCT
iajs-2146	84	3	)	)	PUNCT
iajs-2146	84	4	(	(	PUNCT
iajs-2146	84	5	)	)	PUNCT
iajs-2146	84	6	(	(	PUNCT
iajs-2146	84	7	)	)	PUNCT
iajs-2146	84	8	satisfied	satisfy	VERB
iajs-2146	84	9	the	the	DET
iajs-2146	84	10	following	follow	VERB
iajs-2146	84	11	conditions	condition	NOUN
iajs-2146	84	12	:	:	PUNCT
iajs-2146	85	1	1-	1-	X
iajs-2146	85	2	(	(	PUNCT
iajs-2146	85	3	)	)	PUNCT
iajs-2146	85	4	(	(	PUNCT
iajs-2146	85	5	)	)	PUNCT
iajs-2146	85	6	(	(	PUNCT
iajs-2146	85	7	)	)	PUNCT
iajs-2146	85	8	2-∑	2-∑	NUM
iajs-2146	85	9	3-∑	3-∑	NUM
iajs-2146	86	1	if	if	SCONJ
iajs-2146	86	2	(	(	PUNCT
iajs-2146	86	3	)	)	PUNCT
iajs-2146	86	4	(	(	PUNCT
iajs-2146	86	5	)	)	PUNCT
iajs-2146	86	6	are	be	AUX
iajs-2146	86	7	bounded	bound	VERB
iajs-2146	86	8	,	,	PUNCT
iajs-2146	86	9	then	then	ADV
iajs-2146	86	10	the	the	DET
iajs-2146	86	11	picard	picard	NOUN
iajs-2146	86	12	-	-	PUNCT
iajs-2146	86	13	mann	mann	PROPN
iajs-2146	86	14	iteration	iteration	NOUN
iajs-2146	86	15	sequence	sequence	NOUN
iajs-2146	86	16	(	(	PUNCT
iajs-2146	86	17	)	)	PUNCT
iajs-2146	86	18	converges	converge	VERB
iajs-2146	86	19	strongly	strongly	ADV
iajs-2146	86	20	to	to	ADP
iajs-2146	86	21	(	(	PUNCT
iajs-2146	86	22	)	)	PUNCT
iajs-2146	86	23	and	and	CCONJ
iajs-2146	86	24	the	the	DET
iajs-2146	86	25	noor	noor	PROPN
iajs-2146	86	26	iteration	iteration	NOUN
iajs-2146	86	27	sequence	sequence	NOUN
iajs-2146	86	28	(	(	PUNCT
iajs-2146	86	29	)	)	PUNCT
iajs-2146	86	30	converges	converge	VERB
iajs-2146	86	31	strongly	strongly	ADV
iajs-2146	86	32	to	to	ADP
iajs-2146	86	33	(	(	PUNCT
iajs-2146	86	34	)	)	PUNCT
iajs-2146	86	35	.	.	PUNCT
iajs-2146	87	1	proof	proof	NOUN
iajs-2146	87	2	:	:	PUNCT
iajs-2146	87	3	since	since	SCONJ
iajs-2146	87	4	the	the	DET
iajs-2146	87	5	range	range	NOUN
iajs-2146	87	6	of	of	ADP
iajs-2146	87	7	t	t	PROPN
iajs-2146	87	8	and	and	CCONJ
iajs-2146	87	9	s	s	VERB
iajs-2146	87	10	is	be	AUX
iajs-2146	87	11	bounded	bound	VERB
iajs-2146	87	12	,	,	PUNCT
iajs-2146	87	13	let	let	VERB
iajs-2146	87	14	:	:	PUNCT
iajs-2146	87	15	*	*	PUNCT
iajs-2146	87	16	‖	‖	PROPN
iajs-2146	87	17	‖+	‖+	PROPN
iajs-2146	87	18	‖	‖	PROPN
iajs-2146	87	19	‖	‖	PROPN
iajs-2146	87	20	and	and	CCONJ
iajs-2146	87	21	*	*	ADJ
iajs-2146	87	22	‖	‖	PROPN
iajs-2146	87	23	‖+	‖+	PROPN
iajs-2146	87	24	‖	‖	PROPN
iajs-2146	87	25	‖	‖	PROPN
iajs-2146	87	26	then	then	ADV
iajs-2146	87	27	‖	‖	PROPN
iajs-2146	87	28	‖	‖	PROPN
iajs-2146	87	29	‖	‖	PROPN
iajs-2146	87	30	‖	‖	PROPN
iajs-2146	87	31	‖	‖	PROPN
iajs-2146	87	32	‖	‖	PROPN
iajs-2146	87	33	‖	‖	PROPN
iajs-2146	87	34	‖	‖	PROPN
iajs-2146	87	35	‖	‖	PROPN
iajs-2146	87	36	‖	‖	PROPN
iajs-2146	87	37	therefore	therefore	ADV
iajs-2146	87	38	‖	‖	PROPN
iajs-2146	87	39	‖	‖	PROPN
iajs-2146	87	40	‖	‖	PROPN
iajs-2146	87	41	‖	‖	PROPN
iajs-2146	87	42	‖	‖	PROPN
iajs-2146	87	43	‖	‖	PROPN
iajs-2146	87	44	‖	‖	PROPN
iajs-2146	87	45	(	(	PUNCT
iajs-2146	87	46	)	)	PUNCT
iajs-2146	87	47	‖	‖	PROPN
iajs-2146	87	48	‖	‖	PROPN
iajs-2146	87	49	‖	‖	PROPN
iajs-2146	87	50	‖	‖	PROPN
iajs-2146	87	51	‖	‖	PROPN
iajs-2146	87	52	‖	‖	PROPN
iajs-2146	87	53	‖	‖	PROPN
iajs-2146	87	54	‖	‖	PROPN
iajs-2146	87	55	‖	‖	PROPN
iajs-2146	87	56	(	(	PUNCT
iajs-2146	87	57	)	)	PUNCT
iajs-2146	87	58	‖	‖	PROPN
iajs-2146	87	59	‖	‖	PROPN
iajs-2146	87	60	‖	‖	PROPN
iajs-2146	87	61	‖	‖	PROPN
iajs-2146	87	62	(	(	PUNCT
iajs-2146	87	63	)	)	PUNCT
iajs-2146	87	64	‖	‖	PROPN
iajs-2146	87	65	‖	‖	PROPN
iajs-2146	87	66	(	(	PUNCT
iajs-2146	87	67	‖	‖	PROPN
iajs-2146	87	68	‖	‖	PROPN
iajs-2146	87	69	)	)	PUNCT
iajs-2146	87	70	‖	‖	PROPN
iajs-2146	87	71	‖	‖	PROPN
iajs-2146	87	72	(	(	PUNCT
iajs-2146	87	73	)	)	PUNCT
iajs-2146	87	74	‖	‖	PROPN
iajs-2146	87	75	‖	‖	PROPN
iajs-2146	87	76	‖	‖	PROPN
iajs-2146	87	77	‖	‖	PROPN
iajs-2146	87	78	since	since	SCONJ
iajs-2146	87	79	t	t	PROPN
iajs-2146	87	80	is	be	AUX
iajs-2146	87	81	lipschitzain	lipschitzain	NOUN
iajs-2146	87	82	and	and	CCONJ
iajs-2146	87	83	firmly	firmly	ADV
iajs-2146	87	84	nonexpansive	nonexpansive	ADJ
iajs-2146	87	85	,	,	PUNCT
iajs-2146	87	86	setting	set	VERB
iajs-2146	87	87	(	(	PUNCT
iajs-2146	87	88	)	)	PUNCT
iajs-2146	87	89	‖	‖	PROPN
iajs-2146	87	90	‖	‖	PROPN
iajs-2146	87	91	‖	‖	PROPN
iajs-2146	87	92	‖	‖	PROPN
iajs-2146	87	93	‖	‖	PROPN
iajs-2146	87	94	‖	‖	PROPN
iajs-2146	87	95	‖	‖	PROPN
iajs-2146	87	96	‖	‖	PROPN
iajs-2146	87	97	(	(	PUNCT
iajs-2146	87	98	)	)	PUNCT
iajs-2146	87	99	‖	‖	PROPN
iajs-2146	87	100	‖	‖	PROPN
iajs-2146	87	101	‖	‖	PROPN
iajs-2146	87	102	‖	‖	PROPN
iajs-2146	87	103	(	(	PUNCT
iajs-2146	87	104	)	)	PUNCT
iajs-2146	88	1	‖	‖	PROPN
iajs-2146	88	2	‖	‖	PROPN
iajs-2146	88	3	‖	‖	PROPN
iajs-2146	88	4	‖	‖	PROPN
iajs-2146	88	5	‖	‖	PROPN
iajs-2146	88	6	‖	‖	PROPN
iajs-2146	88	7	‖	‖	PROPN
iajs-2146	88	8	‖	‖	PROPN
iajs-2146	88	9	then	then	ADV
iajs-2146	88	10	‖	‖	PROPN
iajs-2146	88	11	‖	‖	PROPN
iajs-2146	88	12	‖	‖	PROPN
iajs-2146	88	13	‖	‖	PROPN
iajs-2146	88	14	‖	‖	PROPN
iajs-2146	88	15	‖	‖	PROPN
iajs-2146	88	16	(	(	PUNCT
iajs-2146	88	17	)	)	PUNCT
iajs-2146	88	18	‖	‖	PROPN
iajs-2146	88	19	‖	‖	PROPN
iajs-2146	88	20	88	88	NUM
iajs-2146	88	21	lbn	lbn	PROPN
iajs-2146	88	22	al	al	PROPN
iajs-2146	88	23	-	-	PUNCT
iajs-2146	88	24	haitham	haitham	PROPN
iajs-2146	88	25	jour.for	jour.for	ADP
iajs-2146	88	26	pure	pure	ADJ
iajs-2146	88	27	&	&	CCONJ
iajs-2146	88	28	appl	appl	PROPN
iajs-2146	88	29	.sci	.sci	PROPN
iajs-2146	88	30	.	.	PUNCT
iajs-2146	89	1	32	32	NUM
iajs-2146	89	2	(	(	PUNCT
iajs-2146	89	3	2	2	NUM
iajs-2146	89	4	)	)	PUNCT
iajs-2146	89	5	2019	2019	NUM
iajs-2146	89	6	(	(	PUNCT
iajs-2146	89	7	)	)	PUNCT
iajs-2146	89	8	‖	‖	PROPN
iajs-2146	89	9	‖	‖	PROPN
iajs-2146	89	10	(	(	PUNCT
iajs-2146	89	11	‖	‖	PROPN
iajs-2146	89	12	‖	‖	PROPN
iajs-2146	89	13	)	)	PUNCT
iajs-2146	89	14	(	(	PUNCT
iajs-2146	89	15	‖	‖	PROPN
iajs-2146	89	16	‖	‖	PROPN
iajs-2146	89	17	)	)	PUNCT
iajs-2146	89	18	(	(	PUNCT
iajs-2146	89	19	)	)	PUNCT
iajs-2146	89	20	(	(	PUNCT
iajs-2146	89	21	‖	‖	PROPN
iajs-2146	89	22	‖	‖	PROPN
iajs-2146	89	23	)	)	PUNCT
iajs-2146	89	24	(	(	PUNCT
iajs-2146	89	25	)	)	PUNCT
iajs-2146	89	26	‖	‖	PROPN
iajs-2146	89	27	‖	‖	PROPN
iajs-2146	89	28	(	(	PUNCT
iajs-2146	89	29	)	)	PUNCT
iajs-2146	89	30	(	(	PUNCT
iajs-2146	89	31	‖	‖	PROPN
iajs-2146	89	32	‖	‖	PROPN
iajs-2146	89	33	)	)	PUNCT
iajs-2146	89	34	(	(	PUNCT
iajs-2146	89	35	‖	‖	PROPN
iajs-2146	89	36	‖	‖	PROPN
iajs-2146	89	37	)	)	PUNCT
iajs-2146	89	38	(	(	PUNCT
iajs-2146	89	39	)	)	PUNCT
iajs-2146	89	40	(	(	PUNCT
iajs-2146	89	41	‖	‖	PROPN
iajs-2146	89	42	‖	‖	PROPN
iajs-2146	89	43	)	)	PUNCT
iajs-2146	89	44	(	(	PUNCT
iajs-2146	89	45	)	)	PUNCT
iajs-2146	89	46	‖	‖	PROPN
iajs-2146	89	47	‖	‖	PROPN
iajs-2146	89	48	(	(	PUNCT
iajs-2146	89	49	)	)	PUNCT
iajs-2146	89	50	(	(	PUNCT
iajs-2146	89	51	‖	‖	PROPN
iajs-2146	89	52	‖	‖	PROPN
iajs-2146	89	53	)	)	PUNCT
iajs-2146	89	54	let	let	VERB
iajs-2146	89	55	‖	‖	ADJ
iajs-2146	89	56	‖	‖	ADJ
iajs-2146	89	57	(	(	PUNCT
iajs-2146	89	58	)	)	PUNCT
iajs-2146	89	59	(	(	PUNCT
iajs-2146	89	60	‖	‖	PROPN
iajs-2146	89	61	‖	‖	PROPN
iajs-2146	89	62	)	)	PUNCT
iajs-2146	89	63	and	and	CCONJ
iajs-2146	89	64	by	by	ADP
iajs-2146	89	65	applying	apply	VERB
iajs-2146	89	66	lemma	lemma	PROPN
iajs-2146	89	67	(	(	PUNCT
iajs-2146	89	68	7	7	NUM
iajs-2146	89	69	)	)	PUNCT
iajs-2146	89	70	,	,	PUNCT
iajs-2146	89	71	we	we	PRON
iajs-2146	89	72	get	get	VERB
iajs-2146	89	73	:	:	PUNCT
iajs-2146	89	74	‖	‖	PROPN
iajs-2146	89	75	‖	‖	ADJ
iajs-2146	89	76	if	if	SCONJ
iajs-2146	89	77	(	(	PUNCT
iajs-2146	89	78	)	)	PUNCT
iajs-2146	89	79	then	then	ADV
iajs-2146	89	80	‖	‖	PROPN
iajs-2146	89	81	‖	‖	PROPN
iajs-2146	89	82	‖	‖	PROPN
iajs-2146	89	83	‖	‖	PROPN
iajs-2146	89	84	‖	‖	PROPN
iajs-2146	89	85	‖	‖	PROPN
iajs-2146	89	86	if	if	SCONJ
iajs-2146	89	87	(	(	PUNCT
iajs-2146	89	88	)	)	PUNCT
iajs-2146	89	89	then	then	ADV
iajs-2146	89	90	‖	‖	PROPN
iajs-2146	89	91	‖	‖	PROPN
iajs-2146	89	92	‖	‖	PROPN
iajs-2146	89	93	‖	‖	PROPN
iajs-2146	89	94	‖	‖	PROPN
iajs-2146	89	95	‖	‖	PROPN
iajs-2146	89	96	theorem	theorem	PROPN
iajs-2146	89	97	(	(	PUNCT
iajs-2146	89	98	14	14	NUM
iajs-2146	89	99	):	):	PUNCT
iajs-2146	89	100	let	let	AUX
iajs-2146	89	101	be	be	AUX
iajs-2146	89	102	a	a	DET
iajs-2146	89	103	firmly	firmly	ADV
iajs-2146	89	104	nonexpansive	nonexpansive	ADJ
iajs-2146	89	105	mapping	mapping	NOUN
iajs-2146	89	106	and	and	CCONJ
iajs-2146	89	107	satisfying	satisfy	VERB
iajs-2146	89	108	lipschitz	lipschitz	NOUN
iajs-2146	89	109	with	with	ADP
iajs-2146	89	110	and	and	CCONJ
iajs-2146	89	111	satisfying	satisfy	VERB
iajs-2146	89	112	condition	condition	NOUN
iajs-2146	89	113	(	(	PUNCT
iajs-2146	89	114	)	)	PUNCT
iajs-2146	89	115	.	.	PUNCT
iajs-2146	90	1	suppose	suppose	VERB
iajs-2146	90	2	that	that	SCONJ
iajs-2146	90	3	the	the	DET
iajs-2146	90	4	picard	picard	NOUN
iajs-2146	90	5	-	-	PUNCT
iajs-2146	90	6	mann	mann	PROPN
iajs-2146	90	7	and	and	CCONJ
iajs-2146	90	8	noor	noor	PROPN
iajs-2146	90	9	iteration	iteration	NOUN
iajs-2146	90	10	converge	converge	VERB
iajs-2146	90	11	to	to	ADP
iajs-2146	90	12	the	the	DET
iajs-2146	90	13	same	same	ADJ
iajs-2146	90	14	common	common	ADJ
iajs-2146	90	15	fixed	fix	VERB
iajs-2146	90	16	point	point	NOUN
iajs-2146	90	17	a	a	PRON
iajs-2146	90	18	*	*	X
iajs-2146	90	19	.	.	PUNCT
iajs-2146	91	1	then	then	ADV
iajs-2146	91	2	picard	picard	PROPN
iajs-2146	91	3	-	-	PUNCT
iajs-2146	91	4	mann	mann	PROPN
iajs-2146	91	5	iteration	iteration	NOUN
iajs-2146	91	6	converges	converge	VERB
iajs-2146	91	7	faster	fast	ADV
iajs-2146	91	8	than	than	ADP
iajs-2146	91	9	noor	noor	PROPN
iajs-2146	91	10	iteration	iteration	NOUN
iajs-2146	91	11	.	.	PUNCT
iajs-2146	92	1	proof	proof	NOUN
iajs-2146	92	2	:	:	PUNCT
iajs-2146	92	3	let	let	VERB
iajs-2146	92	4	(	(	PUNCT
iajs-2146	92	5	)	)	PUNCT
iajs-2146	92	6	then	then	ADV
iajs-2146	92	7	,	,	PUNCT
iajs-2146	92	8	for	for	ADP
iajs-2146	92	9	picard	picard	NOUN
iajs-2146	92	10	-	-	PUNCT
iajs-2146	92	11	mann	mann	PROPN
iajs-2146	92	12	iteration	iteration	NOUN
iajs-2146	92	13	.	.	PUNCT
iajs-2146	93	1	‖	‖	PROPN
iajs-2146	93	2	‖	‖	PROPN
iajs-2146	93	3	(	(	PUNCT
iajs-2146	93	4	)	)	PUNCT
iajs-2146	93	5	‖	‖	PROPN
iajs-2146	93	6	‖	‖	PROPN
iajs-2146	93	7	‖	‖	PROPN
iajs-2146	93	8	‖	‖	PROPN
iajs-2146	93	9	setting	setting	NOUN
iajs-2146	93	10	(	(	PUNCT
iajs-2146	93	11	)	)	PUNCT
iajs-2146	93	12	,	,	PUNCT
iajs-2146	93	13	then	then	ADV
iajs-2146	93	14	we	we	PRON
iajs-2146	93	15	have	have	VERB
iajs-2146	93	16	(	(	PUNCT
iajs-2146	93	17	(	(	PUNCT
iajs-2146	93	18	)	)	PUNCT
iajs-2146	93	19	)	)	PUNCT
iajs-2146	94	1	‖	‖	PROPN
iajs-2146	95	1	‖	‖	PROPN
iajs-2146	95	2	next	next	ADJ
iajs-2146	95	3	‖	‖	PROPN
iajs-2146	95	4	‖	‖	PROPN
iajs-2146	95	5	‖	‖	PROPN
iajs-2146	95	6	‖	‖	PROPN
iajs-2146	95	7	‖	‖	PROPN
iajs-2146	95	8	‖	‖	PROPN
iajs-2146	95	9	(	(	PUNCT
iajs-2146	95	10	(	(	PUNCT
iajs-2146	95	11	)	)	PUNCT
iajs-2146	95	12	)	)	PUNCT
iajs-2146	96	1	‖	‖	PROPN
iajs-2146	97	1	‖	‖	PROPN
iajs-2146	97	2	(	(	PUNCT
iajs-2146	97	3	(	(	PUNCT
iajs-2146	97	4	)	)	PUNCT
iajs-2146	97	5	)	)	PUNCT
iajs-2146	98	1	‖	‖	PROPN
iajs-2146	99	1	‖	‖	PROPN
iajs-2146	99	2	let	let	VERB
iajs-2146	99	3	(	(	PUNCT
iajs-2146	99	4	(	(	PUNCT
iajs-2146	99	5	)	)	PUNCT
iajs-2146	99	6	)	)	PUNCT
iajs-2146	100	1	‖	‖	PROPN
iajs-2146	101	1	‖	‖	ADJ
iajs-2146	101	2	now	now	ADV
iajs-2146	101	3	,	,	PUNCT
iajs-2146	101	4	noor	noor	PROPN
iajs-2146	101	5	iteration	iteration	NOUN
iajs-2146	101	6	.	.	PUNCT
iajs-2146	102	1	‖	‖	PROPN
iajs-2146	103	1	‖	‖	PROPN
iajs-2146	103	2	(	(	PUNCT
iajs-2146	103	3	)	)	PUNCT
iajs-2146	103	4	‖	‖	PROPN
iajs-2146	103	5	‖	‖	PROPN
iajs-2146	103	6	‖	‖	PROPN
iajs-2146	103	7	‖	‖	PROPN
iajs-2146	103	8	(	(	PUNCT
iajs-2146	103	9	)	)	PUNCT
iajs-2146	103	10	‖	‖	PROPN
iajs-2146	103	11	‖	‖	PROPN
iajs-2146	103	12	‖	‖	PROPN
iajs-2146	103	13	‖	‖	PROPN
iajs-2146	103	14	‖	‖	PROPN
iajs-2146	103	15	‖	‖	PROPN
iajs-2146	103	16	‖	‖	PROPN
iajs-2146	103	17	‖	‖	PROPN
iajs-2146	103	18	(	(	PUNCT
iajs-2146	103	19	)	)	PUNCT
iajs-2146	103	20	‖	‖	PROPN
iajs-2146	103	21	‖	‖	PROPN
iajs-2146	103	22	‖	‖	PROPN
iajs-2146	103	23	‖	‖	PROPN
iajs-2146	103	24	(	(	PUNCT
iajs-2146	103	25	(	(	PUNCT
iajs-2146	103	26	)	)	PUNCT
iajs-2146	103	27	)	)	PUNCT
iajs-2146	104	1	‖	‖	PROPN
iajs-2146	104	2	‖	‖	PROPN
iajs-2146	104	3	then	then	ADV
iajs-2146	104	4	‖	‖	PROPN
iajs-2146	104	5	‖	‖	PROPN
iajs-2146	104	6	(	(	PUNCT
iajs-2146	104	7	)	)	PUNCT
iajs-2146	105	1	‖	‖	PROPN
iajs-2146	105	2	‖	‖	PROPN
iajs-2146	105	3	‖	‖	PROPN
iajs-2146	105	4	‖	‖	PROPN
iajs-2146	105	5	(	(	PUNCT
iajs-2146	105	6	(	(	PUNCT
iajs-2146	105	7	(	(	PUNCT
iajs-2146	105	8	)	)	PUNCT
iajs-2146	105	9	)	)	PUNCT
iajs-2146	106	1	‖	‖	PROPN
iajs-2146	106	2	‖	‖	PROPN
iajs-2146	106	3	assume	assume	VERB
iajs-2146	106	4	that	that	SCONJ
iajs-2146	106	5	(	(	PUNCT
iajs-2146	106	6	(	(	PUNCT
iajs-2146	106	7	(	(	PUNCT
iajs-2146	106	8	)	)	PUNCT
iajs-2146	106	9	)	)	PUNCT
iajs-2146	107	1	‖	‖	PROPN
iajs-2146	107	2	‖	‖	PROPN
iajs-2146	107	3	‖	‖	PROPN
iajs-2146	107	4	‖	‖	PROPN
iajs-2146	107	5	89	89	NUM
iajs-2146	107	6	lbn	lbn	PROPN
iajs-2146	107	7	al	al	PROPN
iajs-2146	107	8	-	-	PUNCT
iajs-2146	107	9	haitham	haitham	PROPN
iajs-2146	107	10	jour.for	jour.for	ADP
iajs-2146	107	11	pure	pure	ADJ
iajs-2146	107	12	&	&	CCONJ
iajs-2146	107	13	appl	appl	PROPN
iajs-2146	107	14	.sci	.sci	PROPN
iajs-2146	107	15	.	.	PUNCT
iajs-2146	108	1	32	32	NUM
iajs-2146	108	2	(	(	PUNCT
iajs-2146	108	3	2	2	NUM
iajs-2146	108	4	)	)	PUNCT
iajs-2146	108	5	2019	2019	NUM
iajs-2146	108	6	let	let	VERB
iajs-2146	108	7	‖	‖	VERB
iajs-2146	108	8	‖	‖	VERB
iajs-2146	108	9	now	now	ADV
iajs-2146	108	10	,	,	PUNCT
iajs-2146	108	11	(	(	PUNCT
iajs-2146	108	12	(	(	PUNCT
iajs-2146	108	13	)	)	PUNCT
iajs-2146	108	14	)	)	PUNCT
iajs-2146	109	1	‖	‖	PROPN
iajs-2146	110	1	‖	‖	PROPN
iajs-2146	110	2	‖	‖	PROPN
iajs-2146	110	3	‖	‖	PROPN
iajs-2146	110	4	(	(	PUNCT
iajs-2146	110	5	(	(	PUNCT
iajs-2146	110	6	)	)	PUNCT
iajs-2146	110	7	)	)	PUNCT
iajs-2146	111	1	‖	‖	PROPN
iajs-2146	112	1	‖	‖	PROPN
iajs-2146	112	2	‖	‖	PROPN
iajs-2146	112	3	‖	‖	PROPN
iajs-2146	112	4	then	then	ADV
iajs-2146	112	5	,	,	PUNCT
iajs-2146	112	6	(	(	PUNCT
iajs-2146	112	7	)	)	PUNCT
iajs-2146	112	8	converges	converge	VERB
iajs-2146	112	9	faster	fast	ADV
iajs-2146	112	10	than	than	ADP
iajs-2146	112	11	(	(	PUNCT
iajs-2146	112	12	)	)	PUNCT
iajs-2146	112	13	.	.	PUNCT
iajs-2146	113	1	example	example	NOUN
iajs-2146	113	2	(	(	PUNCT
iajs-2146	113	3	15	15	NUM
iajs-2146	113	4	):	):	PUNCT
iajs-2146	113	5	let	let	VERB
iajs-2146	113	6	,	,	PUNCT
iajs-2146	113	7	)	)	PUNCT
iajs-2146	113	8	be	be	AUX
iajs-2146	113	9	an	an	DET
iajs-2146	113	10	mappings	mapping	NOUN
iajs-2146	113	11	defined	define	VERB
iajs-2146	113	12	by	by	ADP
iajs-2146	113	13	and	and	CCONJ
iajs-2146	113	14	choose	choose	VERB
iajs-2146	113	15	n	n	PRON
iajs-2146	113	16	n	n	PRON
iajs-2146	113	17	n	n	NOUN
iajs-2146	113	18	with	with	ADP
iajs-2146	113	19	initial	initial	ADJ
iajs-2146	113	20	value	value	NOUN
iajs-2146	113	21	1	1	NUM
iajs-2146	113	22	the	the	DET
iajs-2146	113	23	picard	picard	NOUN
iajs-2146	113	24	-	-	PUNCT
iajs-2146	113	25	mann	mann	PROPN
iajs-2146	113	26	iteration	iteration	NOUN
iajs-2146	113	27	converges	converge	VERB
iajs-2146	113	28	faster	fast	ADV
iajs-2146	113	29	than	than	ADP
iajs-2146	113	30	noor	noor	PROPN
iajs-2146	113	31	iteration	iteration	NOUN
iajs-2146	113	32	,	,	PUNCT
iajs-2146	113	33	as	as	SCONJ
iajs-2146	113	34	shown	show	VERB
iajs-2146	113	35	in	in	ADP
iajs-2146	113	36	table	table	NOUN
iajs-2146	113	37	1	1	NUM
iajs-2146	113	38	.	.	PUNCT
iajs-2146	113	39	and	and	CCONJ
iajs-2146	113	40	figure	figure	VERB
iajs-2146	113	41	1	1	NUM
iajs-2146	113	42	.	.	PUNCT
iajs-2146	113	43	table	table	NOUN
iajs-2146	113	44	1	1	NUM
iajs-2146	113	45	.	.	PUNCT
iajs-2146	113	46	numerical	numerical	PROPN
iajs-2146	113	47	results	result	NOUN
iajs-2146	113	48	corresponding	correspond	VERB
iajs-2146	113	49	to	to	ADP
iajs-2146	113	50	for	for	ADP
iajs-2146	113	51	30	30	NUM
iajs-2146	113	52	steps	step	NOUN
iajs-2146	113	53	.	.	PUNCT
iajs-2146	114	1	n	n	CCONJ
iajs-2146	114	2	picard	picard	NOUN
iajs-2146	114	3	-	-	PUNCT
iajs-2146	114	4	mann	mann	PROPN
iajs-2146	114	5	noor	noor	PROPN
iajs-2146	114	6	n	n	CCONJ
iajs-2146	114	7	picard	picard	PROPN
iajs-2146	114	8	-	-	PUNCT
iajs-2146	114	9	mann	mann	PROPN
iajs-2146	114	10	noor	noor	PROPN
iajs-2146	114	11	0	0	NUM
iajs-2146	114	12	20	20	NUM
iajs-2146	114	13	20	20	NUM
iajs-2146	114	14	16	16	NUM
iajs-2146	114	15	1.0000	1.0000	NUM
iajs-2146	114	16	1.0353	1.0353	NUM
iajs-2146	114	17	1	1	NUM
iajs-2146	114	18	4.8000	4.8000	NUM
iajs-2146	114	19	13.8250	13.8250	NUM
iajs-2146	114	20	17	17	NUM
iajs-2146	114	21	1.0000	1.0000	NUM
iajs-2146	114	22	1.0238	1.0238	NUM
iajs-2146	114	23	2	2	NUM
iajs-2146	114	24	1.7600	1.7600	NUM
iajs-2146	114	25	9.6569	9.6569	NUM
iajs-2146	114	26	18	18	NUM
iajs-2146	114	27	1.0000	1.0000	NUM
iajs-2146	114	28	1.0161	1.0161	NUM
iajs-2146	114	29	3	3	NUM
iajs-2146	114	30	1.1520	1.1520	NUM
iajs-2146	114	31	6.8434	6.8434	NUM
iajs-2146	114	32	19	19	NUM
iajs-2146	114	33	1.0000	1.0000	NUM
iajs-2146	114	34	1.0109	1.0109	NUM
iajs-2146	114	35	4	4	NUM
iajs-2146	114	36	1.0304	1.0304	NUM
iajs-2146	114	37	4.9443	4.9443	NUM
iajs-2146	114	38	20	20	NUM
iajs-2146	114	39	1.0000	1.0000	NUM
iajs-2146	114	40	1.0073	1.0073	NUM
iajs-2146	114	41	5	5	NUM
iajs-2146	114	42	1.0061	1.0061	NUM
iajs-2146	114	43	3.6624	3.6624	NUM
iajs-2146	114	44	21	21	NUM
iajs-2146	114	45	1.0000	1.0000	NUM
iajs-2146	114	46	1.0049	1.0049	NUM
iajs-2146	114	47	6	6	NUM
iajs-2146	114	48	1.0012	1.0012	NUM
iajs-2146	114	49	2.7971	2.7971	NUM
iajs-2146	114	50	22	22	NUM
iajs-2146	114	51	1.0000	1.0000	NUM
iajs-2146	114	52	1.0033	1.0033	NUM
iajs-2146	114	53	7	7	NUM
iajs-2146	114	54	1.0002	1.0002	NUM
iajs-2146	114	55	2.2131	2.2131	NUM
iajs-2146	114	56	23	23	NUM
iajs-2146	114	57	1.0000	1.0000	NUM
iajs-2146	114	58	1.0023	1.0023	NUM
iajs-2146	114	59	8	8	NUM
iajs-2146	114	60	1.0000	1.0000	NUM
iajs-2146	114	61	1.8188	1.8188	NUM
iajs-2146	114	62	24	24	NUM
iajs-2146	114	63	1.0000	1.0000	NUM
iajs-2146	114	64	1.0015	1.0015	NUM
iajs-2146	114	65	9	9	NUM
iajs-2146	114	66	1.0000	1.0000	NUM
iajs-2146	114	67	1.5527	1.5527	NUM
iajs-2146	114	68	25	25	NUM
iajs-2146	114	69	1.0000	1.0000	NUM
iajs-2146	114	70	1.0010	1.0010	NUM
iajs-2146	114	71	10	10	NUM
iajs-2146	114	72	1.0000	1.0000	NUM
iajs-2146	114	73	1.3731	1.3731	NUM
iajs-2146	114	74	26	26	NUM
iajs-2146	114	75	1.0000	1.0000	NUM
iajs-2146	114	76	1.0007	1.0007	NUM
iajs-2146	114	77	11	11	NUM
iajs-2146	114	78	1.0000	1.0000	NUM
iajs-2146	114	79	1.2518	1.2518	NUM
iajs-2146	114	80	27	27	NUM
iajs-2146	114	81	1.0000	1.0000	NUM
iajs-2146	114	82	1.0005	1.0005	NUM
iajs-2146	114	83	12	12	NUM
iajs-2146	114	84	1.0000	1.0000	NUM
iajs-2146	114	85	1.1700	1.1700	NUM
iajs-2146	114	86	28	28	NUM
iajs-2146	114	87	1.0000	1.0000	NUM
iajs-2146	114	88	1.0003	1.0003	NUM
iajs-2146	114	89	13	13	NUM
iajs-2146	114	90	1.0000	1.0000	NUM
iajs-2146	114	91	1.1147	1.1147	NUM
iajs-2146	114	92	29	29	NUM
iajs-2146	114	93	1.0000	1.0000	NUM
iajs-2146	114	94	1.0002	1.0002	NUM
iajs-2146	114	95	14	14	NUM
iajs-2146	114	96	1.0000	1.0000	NUM
iajs-2146	114	97	1.0774	1.0774	NUM
iajs-2146	114	98	30	30	NUM
iajs-2146	114	99	1.0000	1.0000	NUM
iajs-2146	114	100	1.0001	1.0001	NUM
iajs-2146	114	101	15	15	NUM
iajs-2146	114	102	1.0000	1.0000	NUM
iajs-2146	114	103	1.523	1.523	NUM
iajs-2146	114	104	figure	figure	NOUN
iajs-2146	114	105	1	1	NUM
iajs-2146	114	106	:	:	PUNCT
iajs-2146	114	107	convergence	convergence	NOUN
iajs-2146	114	108	behavior	behavior	NOUN
iajs-2146	114	109	corresponding	correspond	VERB
iajs-2146	114	110	to	to	ADP
iajs-2146	114	111	for	for	ADP
iajs-2146	114	112	30	30	NUM
iajs-2146	114	113	steps	step	NOUN
iajs-2146	114	114	.	.	PUNCT
iajs-2146	115	1	90	90	NUM
iajs-2146	115	2	lbn	lbn	ADJ
iajs-2146	115	3	al	al	PROPN
iajs-2146	115	4	-	-	PUNCT
iajs-2146	115	5	haitham	haitham	PROPN
iajs-2146	115	6	jour.for	jour.for	ADP
iajs-2146	115	7	pure	pure	ADJ
iajs-2146	115	8	&	&	CCONJ
iajs-2146	115	9	appl	appl	PROPN
iajs-2146	115	10	.sci	.sci	PROPN
iajs-2146	115	11	.	.	PUNCT
iajs-2146	116	1	32	32	NUM
iajs-2146	116	2	(	(	PUNCT
iajs-2146	116	3	2	2	NUM
iajs-2146	116	4	)	)	PUNCT
iajs-2146	116	5	2019	2019	NUM
iajs-2146	116	6	5	5	NUM
iajs-2146	116	7	.	.	PUNCT
iajs-2146	117	1	application	application	VERB
iajs-2146	117	2	the	the	DET
iajs-2146	117	3	following	follow	VERB
iajs-2146	117	4	mixed	mixed	ADJ
iajs-2146	117	5	type	type	NOUN
iajs-2146	117	6	of	of	ADP
iajs-2146	117	7	volterra	volterra	NOUN
iajs-2146	117	8	-	-	PUNCT
iajs-2146	117	9	fredholm	fredholm	NOUN
iajs-2146	117	10	functional	functional	ADJ
iajs-2146	117	11	nonlinear	nonlinear	ADJ
iajs-2146	117	12	integral	integral	ADJ
iajs-2146	117	13	equation	equation	NOUN
iajs-2146	117	14	that	that	PRON
iajs-2146	117	15	is	be	AUX
iajs-2146	117	16	appeared	appear	VERB
iajs-2146	117	17	in	in	ADP
iajs-2146	117	18	[	[	X
iajs-2146	117	19	14	14	NUM
iajs-2146	117	20	]	]	PUNCT
iajs-2146	117	21	.	.	PUNCT
iajs-2146	118	1	we	we	PRON
iajs-2146	118	2	use	use	VERB
iajs-2146	118	3	theorem	theorem	NOUN
iajs-2146	118	4	(	(	PUNCT
iajs-2146	118	5	14	14	NUM
iajs-2146	118	6	)	)	PUNCT
iajs-2146	118	7	to	to	PART
iajs-2146	118	8	solve	solve	VERB
iajs-2146	118	9	it	it	PRON
iajs-2146	118	10	:	:	PUNCT
iajs-2146	118	11	(	(	PUNCT
iajs-2146	118	12	)	)	PUNCT
iajs-2146	118	13	(	(	PUNCT
iajs-2146	118	14	(	(	PUNCT
iajs-2146	118	15	)	)	PUNCT
iajs-2146	118	16	∫	∫	PROPN
iajs-2146	118	17	∫	∫	PROPN
iajs-2146	118	18	(	(	PUNCT
iajs-2146	118	19	(	(	PUNCT
iajs-2146	118	20	)	)	PUNCT
iajs-2146	118	21	)	)	PUNCT
iajs-2146	119	1	∫	∫	PROPN
iajs-2146	119	2	∫	∫	PROPN
iajs-2146	119	3	(	(	PUNCT
iajs-2146	119	4	(	(	PUNCT
iajs-2146	119	5	)	)	PUNCT
iajs-2146	119	6	)	)	PUNCT
iajs-2146	119	7	)	)	PUNCT
iajs-2146	120	1	(	(	PUNCT
iajs-2146	120	2	)	)	PUNCT
iajs-2146	120	3	where	where	SCONJ
iajs-2146	120	4	:	:	PUNCT
iajs-2146	120	5	,	,	PUNCT
iajs-2146	120	6	,	,	PUNCT
iajs-2146	120	7	be	be	AUX
iajs-2146	120	8	an	an	DET
iajs-2146	120	9	interval	interval	NOUN
iajs-2146	120	10	in	in	ADP
iajs-2146	120	11	,	,	PUNCT
iajs-2146	120	12	,	,	PUNCT
iajs-2146	120	13	,	,	PUNCT
iajs-2146	120	14	,	,	PUNCT
iajs-2146	120	15	continuous	continuous	ADJ
iajs-2146	120	16	functions	function	NOUN
iajs-2146	120	17	and	and	CCONJ
iajs-2146	120	18	g	g	NOUN
iajs-2146	120	19	:	:	PUNCT
iajs-2146	120	20	,	,	PUNCT
iajs-2146	120	21	,	,	PUNCT
iajs-2146	120	22	.	.	PUNCT
iajs-2146	121	1	assume	assume	VERB
iajs-2146	121	2	that	that	SCONJ
iajs-2146	121	3	the	the	DET
iajs-2146	121	4	following	follow	VERB
iajs-2146	121	5	conditions	condition	NOUN
iajs-2146	121	6	are	be	AUX
iajs-2146	121	7	accomplished	accomplish	VERB
iajs-2146	121	8	:	:	PUNCT
iajs-2146	121	9	i	i	PRON
iajs-2146	121	10	(	(	PUNCT
iajs-2146	121	11	,	,	PUNCT
iajs-2146	121	12	,	,	PUNCT
iajs-2146	121	13	,	,	PUNCT
iajs-2146	121	14	,	,	PUNCT
iajs-2146	121	15	)	)	PUNCT
iajs-2146	121	16	ii	ii	PROPN
iajs-2146	121	17	(	(	PUNCT
iajs-2146	121	18	,	,	PUNCT
iajs-2146	121	19	,	,	PUNCT
iajs-2146	121	20	)	)	PUNCT
iajs-2146	121	21	iii	iii	NOUN
iajs-2146	121	22	such	such	ADJ
iajs-2146	121	23	that	that	PRON
iajs-2146	121	24	|	|	NOUN
iajs-2146	121	25	(	(	PUNCT
iajs-2146	121	26	)	)	PUNCT
iajs-2146	121	27	(	(	PUNCT
iajs-2146	121	28	)	)	PUNCT
iajs-2146	122	1	|	|	ADV
iajs-2146	123	1	|	|	ADV
iajs-2146	124	1	|	|	INTJ
iajs-2146	125	1	|	|	INTJ
iajs-2146	126	1	|	|	INTJ
iajs-2146	126	2	|	|	ADV
iajs-2146	126	3	|	|	ADV
iajs-2146	126	4	,	,	PUNCT
iajs-2146	126	5	,	,	PUNCT
iajs-2146	126	6	iv	iv	X
iajs-2146	126	7	such	such	ADJ
iajs-2146	126	8	that	that	DET
iajs-2146	126	9	|	|	NOUN
iajs-2146	126	10	(	(	PUNCT
iajs-2146	126	11	)	)	PUNCT
iajs-2146	126	12	(	(	PUNCT
iajs-2146	126	13	)	)	PUNCT
iajs-2146	127	1	|	|	ADV
iajs-2146	128	1	|	|	ADV
iajs-2146	129	1	|	|	ADV
iajs-2146	130	1	|	|	ADV
iajs-2146	130	2	(	(	PUNCT
iajs-2146	130	3	)	)	PUNCT
iajs-2146	130	4	(	(	PUNCT
iajs-2146	130	5	)	)	PUNCT
iajs-2146	131	1	|	|	ADV
iajs-2146	131	2	|	|	ADV
iajs-2146	131	3	|	|	ADV
iajs-2146	131	4	,	,	PUNCT
iajs-2146	131	5	,	,	PUNCT
iajs-2146	131	6	v	v	INTJ
iajs-2146	131	7	(	(	PUNCT
iajs-2146	131	8	)	)	PUNCT
iajs-2146	131	9	(	(	PUNCT
iajs-2146	131	10	)	)	PUNCT
iajs-2146	131	11	(	(	PUNCT
iajs-2146	131	12	)	)	PUNCT
iajs-2146	131	13	(	(	PUNCT
iajs-2146	131	14	,	,	PUNCT
iajs-2146	131	15	,	,	PUNCT
iajs-2146	131	16	-	-	PUNCT
iajs-2146	131	17	)	)	PUNCT
iajs-2146	131	18	theorem	theorem	NOUN
iajs-2146	131	19	(	(	PUNCT
iajs-2146	131	20	16)[14	16)[14	NUM
iajs-2146	131	21	]	]	PUNCT
iajs-2146	131	22	.	.	PUNCT
iajs-2146	132	1	suppose	suppose	VERB
iajs-2146	132	2	that	that	SCONJ
iajs-2146	132	3	conditions	condition	NOUN
iajs-2146	132	4	(	(	PUNCT
iajs-2146	132	5	i	i	NOUN
iajs-2146	132	6	-	-	PUNCT
iajs-2146	132	7	v	v	NOUN
iajs-2146	132	8	)	)	PUNCT
iajs-2146	132	9	are	be	AUX
iajs-2146	132	10	satisfied	satisfied	ADJ
iajs-2146	132	11	.	.	PUNCT
iajs-2146	133	1	then	then	ADV
iajs-2146	133	2	,	,	PUNCT
iajs-2146	133	3	the	the	DET
iajs-2146	133	4	equation	equation	NOUN
iajs-2146	133	5	(	(	PUNCT
iajs-2146	133	6	3	3	X
iajs-2146	133	7	)	)	PUNCT
iajs-2146	133	8	has	have	VERB
iajs-2146	133	9	a	a	DET
iajs-2146	133	10	unique	unique	ADJ
iajs-2146	133	11	solution	solution	NOUN
iajs-2146	133	12	(	(	PUNCT
iajs-2146	133	13	,	,	PUNCT
iajs-2146	133	14	,	,	PUNCT
iajs-2146	133	15	-	-	PUNCT
iajs-2146	133	16	)	)	PUNCT
iajs-2146	133	17	theorem	theorem	NOUN
iajs-2146	133	18	(	(	PUNCT
iajs-2146	133	19	17	17	NUM
iajs-2146	133	20	):	):	PUNCT
iajs-2146	133	21	we	we	PRON
iajs-2146	133	22	deem	deem	VERB
iajs-2146	133	23	banach	banach	NOUN
iajs-2146	133	24	space	space	NOUN
iajs-2146	133	25	(	(	PUNCT
iajs-2146	133	26	,	,	PUNCT
iajs-2146	133	27	,	,	PUNCT
iajs-2146	133	28	‖	‖	PROPN
iajs-2146	133	29	‖	‖	PROPN
iajs-2146	133	30	)	)	PUNCT
iajs-2146	133	31	∑	∑	VERB
iajs-2146	133	32	let	let	VERB
iajs-2146	133	33	(	(	PUNCT
iajs-2146	133	34	)	)	PUNCT
iajs-2146	133	35	be	be	AUX
iajs-2146	133	36	as	as	SCONJ
iajs-2146	133	37	shown	show	VERB
iajs-2146	133	38	in	in	ADP
iajs-2146	133	39	step	step	NOUN
iajs-2146	133	40	(	(	PUNCT
iajs-2146	133	41	1	1	NUM
iajs-2146	133	42	)	)	PUNCT
iajs-2146	133	43	and	and	CCONJ
iajs-2146	133	44	a	a	DET
iajs-2146	133	45	map	map	NOUN
iajs-2146	133	46	is	be	AUX
iajs-2146	133	47	defined	define	VERB
iajs-2146	133	48	by	by	ADP
iajs-2146	133	49	(	(	PUNCT
iajs-2146	133	50	)	)	PUNCT
iajs-2146	133	51	(	(	PUNCT
iajs-2146	133	52	(	(	PUNCT
iajs-2146	133	53	)	)	PUNCT
iajs-2146	133	54	∫	∫	PROPN
iajs-2146	133	55	∫	∫	PROPN
iajs-2146	133	56	(	(	PUNCT
iajs-2146	133	57	(	(	PUNCT
iajs-2146	133	58	)	)	PUNCT
iajs-2146	133	59	)	)	PUNCT
iajs-2146	134	1	∫	∫	PROPN
iajs-2146	134	2	∫	∫	PROPN
iajs-2146	134	3	(	(	PUNCT
iajs-2146	134	4	(	(	PUNCT
iajs-2146	134	5	)	)	PUNCT
iajs-2146	134	6	)	)	PUNCT
iajs-2146	134	7	)	)	PUNCT
iajs-2146	134	8	)	)	PUNCT
iajs-2146	134	9	suppose	suppose	VERB
iajs-2146	134	10	that	that	SCONJ
iajs-2146	134	11	the	the	DET
iajs-2146	134	12	conditions	condition	NOUN
iajs-2146	134	13	(	(	PUNCT
iajs-2146	134	14	i	i	NOUN
iajs-2146	134	15	-	-	PUNCT
iajs-2146	134	16	v	v	NOUN
iajs-2146	134	17	)	)	PUNCT
iajs-2146	134	18	are	be	AUX
iajs-2146	134	19	accomplished	accomplish	VERB
iajs-2146	134	20	.	.	PUNCT
iajs-2146	135	1	then	then	ADV
iajs-2146	135	2	,	,	PUNCT
iajs-2146	135	3	the	the	DET
iajs-2146	135	4	equation	equation	NOUN
iajs-2146	135	5	(	(	PUNCT
iajs-2146	135	6	3	3	X
iajs-2146	135	7	)	)	PUNCT
iajs-2146	135	8	has	have	VERB
iajs-2146	135	9	a	a	DET
iajs-2146	135	10	unique	unique	ADJ
iajs-2146	135	11	solution	solution	NOUN
iajs-2146	135	12	(	(	PUNCT
iajs-2146	135	13	,	,	PUNCT
iajs-2146	135	14	,	,	PUNCT
iajs-2146	135	15	-	-	PUNCT
iajs-2146	135	16	)	)	PUNCT
iajs-2146	135	17	and	and	CCONJ
iajs-2146	135	18	the	the	DET
iajs-2146	135	19	picard	picard	NOUN
iajs-2146	135	20	-	-	PUNCT
iajs-2146	135	21	mann	mann	PROPN
iajs-2146	135	22	iteration	iteration	NOUN
iajs-2146	135	23	converges	converge	NOUN
iajs-2146	135	24	to	to	ADP
iajs-2146	135	25	proof	proof	NOUN
iajs-2146	135	26	:	:	PUNCT
iajs-2146	135	27	to	to	PART
iajs-2146	135	28	prove	prove	VERB
iajs-2146	135	29	let	let	VERB
iajs-2146	135	30	‖	‖	ADJ
iajs-2146	135	31	‖	‖	PROPN
iajs-2146	135	32	‖	‖	PROPN
iajs-2146	135	33	‖	‖	PROPN
iajs-2146	136	1	|	|	PROPN
iajs-2146	136	2	(	(	PUNCT
iajs-2146	136	3	)	)	PUNCT
iajs-2146	136	4	(	(	PUNCT
iajs-2146	136	5	)	)	PUNCT
iajs-2146	136	6	|	|	ADV
iajs-2146	136	7	(	(	PUNCT
iajs-2146	136	8	(	(	PUNCT
iajs-2146	136	9	)	)	PUNCT
iajs-2146	136	10	∫	∫	PROPN
iajs-2146	136	11	∫	∫	PROPN
iajs-2146	136	12	(	(	PUNCT
iajs-2146	136	13	(	(	PUNCT
iajs-2146	136	14	)	)	PUNCT
iajs-2146	136	15	)	)	PUNCT
iajs-2146	137	1	∫	∫	PROPN
iajs-2146	137	2	∫	∫	PROPN
iajs-2146	137	3	(	(	PUNCT
iajs-2146	137	4	(	(	PUNCT
iajs-2146	137	5	)	)	PUNCT
iajs-2146	137	6	)	)	PUNCT
iajs-2146	137	7	(	(	PUNCT
iajs-2146	137	8	(	(	PUNCT
iajs-2146	137	9	)	)	PUNCT
iajs-2146	137	10	∫	∫	PROPN
iajs-2146	137	11	∫	∫	PROPN
iajs-2146	137	12	(	(	PUNCT
iajs-2146	137	13	(	(	PUNCT
iajs-2146	137	14	)	)	PUNCT
iajs-2146	137	15	)	)	PUNCT
iajs-2146	138	1	∫	∫	PROPN
iajs-2146	138	2	∫	∫	PROPN
iajs-2146	138	3	(	(	PUNCT
iajs-2146	138	4	(	(	PUNCT
iajs-2146	138	5	)	)	PUNCT
iajs-2146	138	6	)	)	PUNCT
iajs-2146	138	7	)	)	PUNCT
iajs-2146	139	1	|	|	ADV
iajs-2146	139	2	(	(	PUNCT
iajs-2146	139	3	)	)	PUNCT
iajs-2146	139	4	(	(	PUNCT
iajs-2146	139	5	)	)	PUNCT
iajs-2146	139	6	|	|	ADV
iajs-2146	139	7	|∫	|∫	ADJ
iajs-2146	139	8	∫	∫	PROPN
iajs-2146	139	9	(	(	PUNCT
iajs-2146	139	10	(	(	PUNCT
iajs-2146	139	11	)	)	PUNCT
iajs-2146	139	12	)	)	PUNCT
iajs-2146	140	1	∫	∫	PROPN
iajs-2146	140	2	∫	∫	PROPN
iajs-2146	140	3	(	(	PUNCT
iajs-2146	140	4	(	(	PUNCT
iajs-2146	140	5	)	)	PUNCT
iajs-2146	140	6	)	)	PUNCT
iajs-2146	140	7	|	|	ADV
iajs-2146	140	8	|∫	|∫	ADJ
iajs-2146	140	9	∫	∫	PROPN
iajs-2146	140	10	(	(	PUNCT
iajs-2146	140	11	(	(	PUNCT
iajs-2146	140	12	)	)	PUNCT
iajs-2146	140	13	)	)	PUNCT
iajs-2146	141	1	∫	∫	PROPN
iajs-2146	141	2	∫	∫	PROPN
iajs-2146	141	3	(	(	PUNCT
iajs-2146	141	4	(	(	PUNCT
iajs-2146	141	5	)	)	PUNCT
iajs-2146	141	6	)	)	PUNCT
iajs-2146	141	7	)	)	PUNCT
iajs-2146	142	1	|	|	ADV
iajs-2146	142	2	,	,	PUNCT
iajs-2146	142	3	(	(	PUNCT
iajs-2146	142	4	)	)	PUNCT
iajs-2146	142	5	(	(	PUNCT
iajs-2146	142	6	)	)	PUNCT
iajs-2146	142	7	(	(	PUNCT
iajs-2146	142	8	)	)	PUNCT
iajs-2146	142	9	-‖	-‖	PROPN
iajs-2146	142	10	‖	‖	PROPN
iajs-2146	142	11	since	since	ADV
iajs-2146	142	12	,	,	PUNCT
iajs-2146	142	13	‖	‖	PROPN
iajs-2146	142	14	‖	‖	PROPN
iajs-2146	142	15	(	(	PUNCT
iajs-2146	142	16	)	)	PUNCT
iajs-2146	142	17	‖	‖	PROPN
iajs-2146	142	18	‖	‖	PROPN
iajs-2146	142	19	‖	‖	PROPN
iajs-2146	142	20	(	(	PUNCT
iajs-2146	142	21	)	)	PUNCT
iajs-2146	142	22	(	(	PUNCT
iajs-2146	142	23	)	)	PUNCT
iajs-2146	142	24	‖	‖	PROPN
iajs-2146	142	25	91	91	NUM
iajs-2146	142	26	lbn	lbn	PROPN
iajs-2146	142	27	al	al	PROPN
iajs-2146	142	28	-	-	PUNCT
iajs-2146	142	29	haitham	haitham	PROPN
iajs-2146	142	30	jour.for	jour.for	ADP
iajs-2146	142	31	pure	pure	ADJ
iajs-2146	142	32	&	&	CCONJ
iajs-2146	142	33	appl	appl	PROPN
iajs-2146	142	34	.sci	.sci	PROPN
iajs-2146	142	35	.	.	PUNCT
iajs-2146	143	1	32	32	NUM
iajs-2146	143	2	(	(	PUNCT
iajs-2146	143	3	2	2	NUM
iajs-2146	143	4	)	)	PUNCT
iajs-2146	143	5	2019	2019	NUM
iajs-2146	143	6	(	(	PUNCT
iajs-2146	143	7	)	)	PUNCT
iajs-2146	143	8	‖	‖	PROPN
iajs-2146	143	9	‖	‖	PROPN
iajs-2146	144	1	|	|	ADV
iajs-2146	144	2	(	(	PUNCT
iajs-2146	144	3	(	(	PUNCT
iajs-2146	144	4	)	)	PUNCT
iajs-2146	144	5	∫	∫	PROPN
iajs-2146	144	6	∫	∫	PROPN
iajs-2146	144	7	(	(	PUNCT
iajs-2146	144	8	(	(	PUNCT
iajs-2146	144	9	)	)	PUNCT
iajs-2146	144	10	)	)	PUNCT
iajs-2146	145	1	∫	∫	PROPN
iajs-2146	145	2	∫	∫	PROPN
iajs-2146	145	3	(	(	PUNCT
iajs-2146	145	4	(	(	PUNCT
iajs-2146	145	5	)	)	PUNCT
iajs-2146	145	6	)	)	PUNCT
iajs-2146	145	7	(	(	PUNCT
iajs-2146	145	8	(	(	PUNCT
iajs-2146	145	9	)	)	PUNCT
iajs-2146	145	10	∫	∫	PROPN
iajs-2146	145	11	∫	∫	PROPN
iajs-2146	145	12	(	(	PUNCT
iajs-2146	145	13	(	(	PUNCT
iajs-2146	145	14	)	)	PUNCT
iajs-2146	145	15	)	)	PUNCT
iajs-2146	146	1	∫	∫	PROPN
iajs-2146	146	2	∫	∫	PROPN
iajs-2146	146	3	(	(	PUNCT
iajs-2146	146	4	(	(	PUNCT
iajs-2146	146	5	)	)	PUNCT
iajs-2146	146	6	)	)	PUNCT
iajs-2146	146	7	)	)	PUNCT
iajs-2146	147	1	|	|	ADV
iajs-2146	147	2	(	(	PUNCT
iajs-2146	147	3	)	)	PUNCT
iajs-2146	147	4	‖	‖	PROPN
iajs-2146	147	5	‖	‖	PROPN
iajs-2146	147	6	[	[	PUNCT
iajs-2146	147	7	(	(	PUNCT
iajs-2146	147	8	)	)	PUNCT
iajs-2146	147	9	(	(	PUNCT
iajs-2146	147	10	)	)	PUNCT
iajs-2146	147	11	(	(	PUNCT
iajs-2146	147	12	)	)	PUNCT
iajs-2146	147	13	]	]	PUNCT
iajs-2146	148	1	‖	‖	PROPN
iajs-2146	148	2	‖	‖	PROPN
iajs-2146	149	1	*	*	PUNCT
iajs-2146	149	2	(	(	PUNCT
iajs-2146	149	3	[	[	PUNCT
iajs-2146	149	4	(	(	PUNCT
iajs-2146	149	5	)	)	PUNCT
iajs-2146	149	6	(	(	PUNCT
iajs-2146	149	7	)	)	PUNCT
iajs-2146	149	8	(	(	PUNCT
iajs-2146	149	9	)	)	PUNCT
iajs-2146	149	10	]	]	X
iajs-2146	149	11	+	+	X
iajs-2146	149	12	‖	‖	PROPN
iajs-2146	149	13	‖	‖	PROPN
iajs-2146	149	14	‖	‖	PROPN
iajs-2146	149	15	‖∏	‖∏	PROPN
iajs-2146	149	16	*	*	PUNCT
iajs-2146	149	17	(	(	PUNCT
iajs-2146	149	18	[	[	PUNCT
iajs-2146	149	19	(	(	PUNCT
iajs-2146	149	20	)	)	PUNCT
iajs-2146	149	21	(	(	PUNCT
iajs-2146	149	22	)	)	PUNCT
iajs-2146	149	23	(	(	PUNCT
iajs-2146	149	24	)	)	PUNCT
iajs-2146	149	25	]	]	X
iajs-2146	150	1	+	+	CCONJ
iajs-2146	150	2	by	by	ADP
iajs-2146	150	3	condition	condition	NOUN
iajs-2146	150	4	(	(	PUNCT
iajs-2146	150	5	v	v	NOUN
iajs-2146	150	6	)	)	PUNCT
iajs-2146	150	7	,	,	PUNCT
iajs-2146	150	8	[	[	PUNCT
iajs-2146	150	9	(	(	PUNCT
iajs-2146	150	10	)	)	PUNCT
iajs-2146	150	11	(	(	PUNCT
iajs-2146	150	12	)	)	PUNCT
iajs-2146	150	13	(	(	PUNCT
iajs-2146	150	14	)	)	PUNCT
iajs-2146	150	15	]	]	PUNCT
iajs-2146	150	16	now	now	ADV
iajs-2146	150	17	,	,	PUNCT
iajs-2146	150	18	under	under	ADP
iajs-2146	150	19	using	use	VERB
iajs-2146	150	20	theorem	theorem	NOUN
iajs-2146	150	21	(	(	PUNCT
iajs-2146	150	22	12	12	NUM
iajs-2146	150	23	)	)	PUNCT
iajs-2146	150	24	,	,	PUNCT
iajs-2146	150	25	we	we	PRON
iajs-2146	150	26	obtain	obtain	VERB
iajs-2146	150	27	that	that	DET
iajs-2146	150	28	equation	equation	NOUN
iajs-2146	150	29	(	(	PUNCT
iajs-2146	150	30	3	3	X
iajs-2146	150	31	)	)	PUNCT
iajs-2146	150	32	has	have	VERB
iajs-2146	150	33	a	a	DET
iajs-2146	150	34	unique	unique	ADJ
iajs-2146	150	35	solution	solution	NOUN
iajs-2146	150	36	(	(	PUNCT
iajs-2146	150	37	,	,	PUNCT
iajs-2146	150	38	,	,	PUNCT
iajs-2146	150	39	-	-	PUNCT
iajs-2146	150	40	)	)	PUNCT
iajs-2146	150	41	and	and	CCONJ
iajs-2146	150	42	picard	picard	PROPN
iajs-2146	150	43	-	-	PUNCT
iajs-2146	150	44	mann	mann	PROPN
iajs-2146	150	45	iteration	iteration	NOUN
iajs-2146	150	46	converges	converge	VERB
iajs-2146	150	47	to	to	ADP
iajs-2146	150	48	.	.	PUNCT
iajs-2146	151	1	in	in	ADP
iajs-2146	151	2	the	the	DET
iajs-2146	151	3	same	same	ADJ
iajs-2146	151	4	scope	scope	NOUN
iajs-2146	151	5	you	you	PRON
iajs-2146	151	6	can	can	AUX
iajs-2146	151	7	see	see	VERB
iajs-2146	151	8	the	the	DET
iajs-2146	151	9	results	result	NOUN
iajs-2146	151	10	in	in	ADP
iajs-2146	151	11	[	[	X
iajs-2146	151	12	15	15	NUM
iajs-2146	151	13	]	]	PUNCT
iajs-2146	151	14	.	.	PUNCT
iajs-2146	152	1	and	and	CCONJ
iajs-2146	152	2	[	[	X
iajs-2146	152	3	16	16	NUM
iajs-2146	152	4	]	]	PUNCT
iajs-2146	152	5	.	.	PUNCT
iajs-2146	153	1	where	where	SCONJ
iajs-2146	153	2	hasan	hasan	PROPN
iajs-2146	153	3	and	and	CCONJ
iajs-2146	153	4	abed	abe	VERB
iajs-2146	153	5	established	establish	VERB
iajs-2146	153	6	weak	weak	ADJ
iajs-2146	153	7	convergence	convergence	NOUN
iajs-2146	153	8	theorems	theorem	NOUN
iajs-2146	153	9	by	by	ADP
iajs-2146	153	10	using	use	VERB
iajs-2146	153	11	appropriate	appropriate	ADJ
iajs-2146	153	12	conditions	condition	NOUN
iajs-2146	153	13	for	for	ADP
iajs-2146	153	14	approximating	approximate	VERB
iajs-2146	153	15	common	common	ADJ
iajs-2146	153	16	fixed	fix	VERB
iajs-2146	153	17	points	point	NOUN
iajs-2146	153	18	and	and	CCONJ
iajs-2146	153	19	equivalence	equivalence	NOUN
iajs-2146	153	20	between	between	ADP
iajs-2146	153	21	the	the	DET
iajs-2146	153	22	convergence	convergence	NOUN
iajs-2146	153	23	of	of	ADP
iajs-2146	153	24	the	the	DET
iajs-2146	153	25	picard	picard	NOUN
iajs-2146	153	26	-	-	PUNCT
iajs-2146	153	27	mann	mann	PROPN
iajs-2146	153	28	iteration	iteration	NOUN
iajs-2146	153	29	scheme	scheme	NOUN
iajs-2146	153	30	and	and	CCONJ
iajs-2146	153	31	liu	liu	PROPN
iajs-2146	153	32	el.at	el.at	PROPN
iajs-2146	153	33	iteration	iteration	NOUN
iajs-2146	153	34	scheme	scheme	NOUN
iajs-2146	153	35	in	in	ADP
iajs-2146	153	36	banach	banach	NOUN
iajs-2146	153	37	spaces	space	NOUN
iajs-2146	153	38	.	.	PUNCT
iajs-2146	154	1	6.conclusion	6.conclusion	NUM
iajs-2146	154	2	in	in	ADP
iajs-2146	154	3	the	the	DET
iajs-2146	154	4	setting	setting	NOUN
iajs-2146	154	5	of	of	ADP
iajs-2146	154	6	2	2	NUM
iajs-2146	154	7	-	-	PUNCT
iajs-2146	154	8	normed	norme	VERB
iajs-2146	154	9	spaces	space	NOUN
iajs-2146	154	10	[	[	X
iajs-2146	154	11	16	16	NUM
iajs-2146	154	12	]	]	PUNCT
iajs-2146	154	13	.	.	PUNCT
iajs-2146	155	1	we	we	PRON
iajs-2146	155	2	define	define	VERB
iajs-2146	155	3	firmly	firmly	ADV
iajs-2146	155	4	nonexpansive	nonexpansive	ADJ
iajs-2146	155	5	and	and	CCONJ
iajs-2146	155	6	generalized	generalized	ADJ
iajs-2146	155	7	nonexpansive	nonexpansive	ADJ
iajs-2146	155	8	maps	map	NOUN
iajs-2146	155	9	.	.	PUNCT
iajs-2146	156	1	then	then	ADV
iajs-2146	156	2	,	,	PUNCT
iajs-2146	156	3	we	we	PRON
iajs-2146	156	4	study	study	VERB
iajs-2146	156	5	the	the	DET
iajs-2146	156	6	convergence	convergence	NOUN
iajs-2146	156	7	of	of	ADP
iajs-2146	156	8	picard	picard	NOUN
iajs-2146	156	9	-	-	PUNCT
iajs-2146	156	10	mann	mann	PROPN
iajs-2146	156	11	iteration	iteration	PROPN
iajs-2146	156	12	and	and	CCONJ
iajs-2146	156	13	noor	noor	PROPN
iajs-2146	156	14	iteration	iteration	NOUN
iajs-2146	156	15	.	.	PUNCT
iajs-2146	157	1	references	reference	NOUN
iajs-2146	157	2	1	1	NUM
iajs-2146	157	3	.	.	PUNCT
iajs-2146	158	1	diaz	diaz	PROPN
iajs-2146	158	2	,	,	PUNCT
iajs-2146	158	3	j.b	j.b	PROPN
iajs-2146	158	4	.	.	PROPN
iajs-2146	158	5	;	;	PUNCT
iajs-2146	158	6	metcalf	metcalf	PROPN
iajs-2146	158	7	,	,	PUNCT
iajs-2146	158	8	f.t	f.t	PROPN
iajs-2146	158	9	.	.	PUNCT
iajs-2146	159	1	on	on	ADP
iajs-2146	159	2	the	the	DET
iajs-2146	159	3	structure	structure	NOUN
iajs-2146	159	4	of	of	ADP
iajs-2146	159	5	the	the	DET
iajs-2146	159	6	set	set	NOUN
iajs-2146	159	7	of	of	ADP
iajs-2146	159	8	subsequential	subsequential	ADJ
iajs-2146	159	9	limit	limit	NOUN
iajs-2146	159	10	points	point	NOUN
iajs-2146	159	11	of	of	ADP
iajs-2146	159	12	successive	successive	ADJ
iajs-2146	159	13	approximation	approximation	NOUN
iajs-2146	159	14	.	.	PUNCT
iajs-2146	160	1	bull	bull	NOUN
iajs-2146	160	2	.	.	PUNCT
iajs-2146	161	1	am	be	AUX
iajs-2146	161	2	.	.	PUNCT
iajs-2146	162	1	math	math	NOUN
iajs-2146	162	2	.	.	PUNCT
iajs-2146	163	1	sco	sco	PROPN
iajs-2146	163	2	.	.	PROPN
iajs-2146	163	3	1967	1967	NUM
iajs-2146	163	4	,	,	PUNCT
iajs-2146	163	5	73	73	NUM
iajs-2146	163	6	,	,	PUNCT
iajs-2146	163	7	516	516	NUM
iajs-2146	163	8	-	-	SYM
iajs-2146	163	9	519	519	NUM
iajs-2146	163	10	.	.	PUNCT
iajs-2146	164	1	2	2	X
iajs-2146	164	2	.	.	X
iajs-2146	164	3	suzuki	suzuki	PROPN
iajs-2146	164	4	,	,	PUNCT
iajs-2146	164	5	t.	t.	PROPN
iajs-2146	164	6	fixed	fix	VERB
iajs-2146	164	7	point	point	NOUN
iajs-2146	164	8	theorems	theorem	NOUN
iajs-2146	164	9	and	and	CCONJ
iajs-2146	164	10	convergence	convergence	NOUN
iajs-2146	164	11	theorems	theorem	NOUN
iajs-2146	164	12	for	for	ADP
iajs-2146	164	13	some	some	DET
iajs-2146	164	14	generalized	generalize	VERB
iajs-2146	164	15	nonexpansive	nonexpansive	ADJ
iajs-2146	164	16	mappings	mapping	NOUN
iajs-2146	164	17	.	.	PUNCT
iajs-2146	165	1	j.	j.	PROPN
iajs-2146	165	2	math	math	PROPN
iajs-2146	165	3	.	.	PUNCT
iajs-2146	166	1	anal	anal	PROPN
iajs-2146	166	2	.	.	PUNCT
iajs-2146	166	3	appl	appl	PROPN
iajs-2146	166	4	.	.	PROPN
iajs-2146	166	5	2008	2008	NUM
iajs-2146	166	6	,	,	PUNCT
iajs-2146	166	7	340	340	NUM
iajs-2146	166	8	,	,	PUNCT
iajs-2146	166	9	1088–1095	1088–1095	NUM
iajs-2146	166	10	.	.	NOUN
iajs-2146	167	1	3	3	X
iajs-2146	167	2	.	.	X
iajs-2146	167	3	dhompongsa	dhompongsa	PROPN
iajs-2146	167	4	,	,	PUNCT
iajs-2146	167	5	s.	s.	PROPN
iajs-2146	167	6	;	;	PUNCT
iajs-2146	167	7	inthakon	inthakon	PROPN
iajs-2146	167	8	,	,	PUNCT
iajs-2146	167	9	w.	w.	PROPN
iajs-2146	167	10	;	;	PUNCT
iajs-2146	167	11	kaewkhao	kaewkhao	PROPN
iajs-2146	167	12	,	,	PUNCT
iajs-2146	167	13	a.	a.	PROPN
iajs-2146	167	14	;	;	PUNCT
iajs-2146	167	15	edelstein	edelstein	PROPN
iajs-2146	167	16	,	,	PUNCT
iajs-2146	167	17	s.	s.	PROPN
iajs-2146	167	18	method	method	PROPN
iajs-2146	167	19	and	and	CCONJ
iajs-2146	167	20	fixed	fix	VERB
iajs-2146	167	21	point	point	NOUN
iajs-2146	167	22	theorems	theorem	NOUN
iajs-2146	167	23	for	for	ADP
iajs-2146	167	24	some	some	DET
iajs-2146	167	25	generalized	generalize	VERB
iajs-2146	167	26	nonexpansive	nonexpansive	ADJ
iajs-2146	167	27	mappings	mapping	NOUN
iajs-2146	167	28	.	.	PUNCT
iajs-2146	168	1	j.math	j.math	NOUN
iajs-2146	168	2	.	.	PUNCT
iajs-2146	169	1	anal	anal	PROPN
iajs-2146	169	2	.	.	PUNCT
iajs-2146	170	1	appl.2009	appl.2009	NOUN
iajs-2146	170	2	,	,	PUNCT
iajs-2146	170	3	350,12	350,12	NUM
iajs-2146	170	4	-	-	SYM
iajs-2146	170	5	17	17	NUM
iajs-2146	170	6	.	.	NOUN
iajs-2146	171	1	4	4	NUM
iajs-2146	171	2	.	.	X
iajs-2146	171	3	garcial	garcial	ADJ
iajs-2146	171	4	-	-	PUNCT
iajs-2146	171	5	falset	falset	NOUN
iajs-2146	171	6	,	,	PUNCT
iajs-2146	171	7	j.	j.	PROPN
iajs-2146	171	8	;	;	PUNCT
iajs-2146	171	9	llorens	llorens	PROPN
iajs-2146	171	10	-	-	PUNCT
iajs-2146	171	11	fuster	fuster	PROPN
iajs-2146	171	12	,	,	PUNCT
iajs-2146	171	13	e.	e.	PROPN
iajs-2146	171	14	;	;	PUNCT
iajs-2146	171	15	suzuki	suzuki	PROPN
iajs-2146	171	16	,	,	PUNCT
iajs-2146	171	17	t.	t.	PROPN
iajs-2146	171	18	fixed	fix	VERB
iajs-2146	171	19	point	point	NOUN
iajs-2146	171	20	theory	theory	NOUN
iajs-2146	171	21	for	for	ADP
iajs-2146	171	22	a	a	DET
iajs-2146	171	23	class	class	NOUN
iajs-2146	171	24	of	of	ADP
iajs-2146	171	25	generalized	generalized	ADJ
iajs-2146	171	26	nonexpansive	nonexpansive	ADJ
iajs-2146	171	27	mappings	mapping	NOUN
iajs-2146	171	28	.	.	PUNCT
iajs-2146	172	1	j.	j.	PROPN
iajs-2146	172	2	math	math	PROPN
iajs-2146	172	3	.	.	PUNCT
iajs-2146	173	1	anal	anal	PROPN
iajs-2146	173	2	.	.	PUNCT
iajs-2146	173	3	appl	appl	PROPN
iajs-2146	173	4	.	.	PUNCT
iajs-2146	174	1	2011	2011	NUM
iajs-2146	174	2	,	,	PUNCT
iajs-2146	174	3	375	375	NUM
iajs-2146	174	4	,	,	PUNCT
iajs-2146	174	5	185	185	NUM
iajs-2146	174	6	-	-	SYM
iajs-2146	174	7	195	195	NUM
iajs-2146	174	8	.	.	NOUN
iajs-2146	174	9	5	5	NUM
iajs-2146	174	10	.	.	X
iajs-2146	174	11	bruck	bruck	NOUN
iajs-2146	174	12	,	,	PUNCT
iajs-2146	174	13	re	re	PROPN
iajs-2146	174	14	.	.	PROPN
iajs-2146	175	1	nonexpansive	nonexpansive	ADJ
iajs-2146	175	2	projections	projection	NOUN
iajs-2146	175	3	on	on	ADP
iajs-2146	175	4	subsets	subset	NOUN
iajs-2146	175	5	of	of	ADP
iajs-2146	175	6	banach	banach	NOUN
iajs-2146	175	7	spaces	space	NOUN
iajs-2146	175	8	.	.	PUNCT
iajs-2146	176	1	pac	pac	PROPN
iajs-2146	176	2	.	.	PUNCT
iajs-2146	177	1	j.	j.	PROPN
iajs-2146	177	2	math	math	PROPN
iajs-2146	177	3	.	.	PUNCT
iajs-2146	178	1	1973	1973	NUM
iajs-2146	178	2	,	,	PUNCT
iajs-2146	178	3	47	47	NUM
iajs-2146	178	4	,	,	PUNCT
iajs-2146	178	5	341	341	NUM
iajs-2146	178	6	-	-	SYM
iajs-2146	178	7	355	355	NUM
iajs-2146	178	8	.	.	PUNCT
iajs-2146	179	1	6	6	NUM
iajs-2146	179	2	.	.	X
iajs-2146	179	3	khan	khan	PROPN
iajs-2146	179	4	,	,	PUNCT
iajs-2146	179	5	s.h	s.h	PROPN
iajs-2146	179	6	.	.	PROPN
iajs-2146	179	7	;	;	PUNCT
iajs-2146	179	8	kim	kim	PROPN
iajs-2146	179	9	,	,	PUNCT
iajs-2146	179	10	j.k	j.k	PROPN
iajs-2146	179	11	.	.	PROPN
iajs-2146	179	12	common	common	ADJ
iajs-2146	179	13	fixed	fix	VERB
iajs-2146	179	14	points	point	NOUN
iajs-2146	179	15	of	of	ADP
iajs-2146	179	16	two	two	NUM
iajs-2146	179	17	nonexpansive	nonexpansive	ADJ
iajs-2146	179	18	mappings	mapping	NOUN
iajs-2146	179	19	by	by	ADP
iajs-2146	179	20	a	a	DET
iajs-2146	179	21	modified	modify	VERB
iajs-2146	179	22	faster	fast	ADJ
iajs-2146	179	23	iteration	iteration	NOUN
iajs-2146	179	24	scheme	scheme	NOUN
iajs-2146	179	25	.	.	PUNCT
iajs-2146	180	1	bull	bull	NOUN
iajs-2146	180	2	.	.	PUNCT
iajs-2146	181	1	korean	korean	PROPN
iajs-2146	181	2	.	.	PUNCT
iajs-2146	181	3	math	math	PROPN
iajs-2146	181	4	.	.	PUNCT
iajs-2146	182	1	soc	soc	PROPN
iajs-2146	182	2	.	.	PUNCT
iajs-2146	183	1	2010	2010	NUM
iajs-2146	183	2	,	,	PUNCT
iajs-2146	183	3	47	47	NUM
iajs-2146	183	4	,	,	PUNCT
iajs-2146	183	5	5	5	NUM
iajs-2146	183	6	,	,	PUNCT
iajs-2146	183	7	973	973	NUM
iajs-2146	183	8	-	-	SYM
iajs-2146	183	9	985	985	NUM
iajs-2146	183	10	.	.	NOUN
iajs-2146	184	1	7	7	X
iajs-2146	184	2	.	.	X
iajs-2146	184	3	khan	khan	PROPN
iajs-2146	184	4	,	,	PUNCT
iajs-2146	184	5	s.h	s.h	PROPN
iajs-2146	184	6	.	.	PROPN
iajs-2146	184	7	a	a	DET
iajs-2146	184	8	picard	picard	NOUN
iajs-2146	184	9	-	-	PUNCT
iajs-2146	184	10	mann	mann	PROPN
iajs-2146	184	11	hybrid	hybrid	ADJ
iajs-2146	184	12	iteration	iteration	NOUN
iajs-2146	184	13	process	process	NOUN
iajs-2146	184	14	.	.	PUNCT
iajs-2146	185	1	fixed	fix	VERB
iajs-2146	185	2	point	point	NOUN
iajs-2146	185	3	theory	theory	NOUN
iajs-2146	185	4	appl	appl	NOUN
iajs-2146	185	5	.	.	PROPN
iajs-2146	186	1	2013	2013	NUM
iajs-2146	186	2	,	,	PUNCT
iajs-2146	186	3	2013	2013	NUM
iajs-2146	186	4	,	,	PUNCT
iajs-2146	186	5	69	69	NUM
iajs-2146	186	6	8	8	NUM
iajs-2146	186	7	.	.	PUNCT
iajs-2146	187	1	noor	noor	PROPN
iajs-2146	187	2	,	,	PUNCT
iajs-2146	187	3	m.a	m.a	PROPN
iajs-2146	187	4	.	.	PROPN
iajs-2146	187	5	new	new	ADJ
iajs-2146	187	6	approximation	approximation	NOUN
iajs-2146	187	7	schemes	scheme	NOUN
iajs-2146	187	8	for	for	ADP
iajs-2146	187	9	general	general	ADJ
iajs-2146	187	10	variational	variational	ADJ
iajs-2146	187	11	inequalities	inequality	NOUN
iajs-2146	187	12	.	.	PUNCT
iajs-2146	188	1	j.	j.	PROPN
iajs-2146	188	2	math	math	PROPN
iajs-2146	188	3	.	.	PUNCT
iajs-2146	189	1	anal	anal	PROPN
iajs-2146	189	2	.	.	PUNCT
iajs-2146	189	3	appl	appl	PROPN
iajs-2146	189	4	.	.	PROPN
iajs-2146	190	1	2000	2000	NUM
iajs-2146	190	2	,	,	PUNCT
iajs-2146	190	3	251	251	NUM
iajs-2146	190	4	,	,	PUNCT
iajs-2146	190	5	217	217	NUM
iajs-2146	190	6	-	-	SYM
iajs-2146	190	7	229	229	NUM
iajs-2146	190	8	.	.	PUNCT
iajs-2146	191	1	9	9	NUM
iajs-2146	191	2	.	.	X
iajs-2146	191	3	rajshree	rajshree	PROPN
iajs-2146	191	4	,	,	PUNCT
iajs-2146	191	5	d.	d.	PROPN
iajs-2146	191	6	;	;	PUNCT
iajs-2146	191	7	balwant	balwant	PROPN
iajs-2146	191	8	,	,	PUNCT
iajs-2146	191	9	t.s	t.s	PROPN
iajs-2146	191	10	.	.	PROPN
iajs-2146	191	11	a	a	DET
iajs-2146	191	12	hybrid	hybrid	ADJ
iajs-2146	191	13	iteration	iteration	NOUN
iajs-2146	191	14	for	for	ADP
iajs-2146	191	15	asymptotically	asymptotically	ADV
iajs-2146	191	16	strictly	strictly	ADV
iajs-2146	191	17	pesudocontractive	pesudocontractive	ADJ
iajs-2146	191	18	mappings	mapping	NOUN
iajs-2146	191	19	.	.	PUNCT
iajs-2146	192	1	journal	journal	PROPN
iajs-2146	192	2	of	of	ADP
iajs-2146	192	3	inequalities	inequality	NOUN
iajs-2146	192	4	and	and	CCONJ
iajs-2146	192	5	applications	application	NOUN
iajs-2146	192	6	.	.	PUNCT
iajs-2146	193	1	2014	2014	NUM
iajs-2146	193	2	,	,	PUNCT
iajs-2146	193	3	2014	2014	NUM
iajs-2146	193	4	,	,	PUNCT
iajs-2146	193	5	374	374	NUM
iajs-2146	193	6	,	,	PUNCT
iajs-2146	193	7	1	1	NUM
iajs-2146	193	8	-	-	SYM
iajs-2146	193	9	11	11	NUM
iajs-2146	193	10	,	,	PUNCT
iajs-2146	193	11	doi	doi	NOUN
iajs-2146	193	12	:	:	PUNCT
iajs-2146	193	13	10.1186/1029	10.1186/1029	NUM
iajs-2146	193	14	-	-	SYM
iajs-2146	193	15	242x-2014	242x-2014	NUM
iajs-2146	193	16	-	-	PUNCT
iajs-2146	193	17	374	374	NUM
iajs-2146	193	18	.	.	PUNCT
iajs-2146	194	1	10	10	NUM
iajs-2146	194	2	.	.	PUNCT
iajs-2146	195	1	anupam	anupam	PROPN
iajs-2146	195	2	,	,	PUNCT
iajs-2146	195	3	s.	s.	PROPN
iajs-2146	195	4	;	;	PUNCT
iajs-2146	195	5	mohammad	mohammad	PROPN
iajs-2146	195	6	,	,	PUNCT
iajs-2146	195	7	i.	i.	NOUN
iajs-2146	195	8	approximating	approximate	VERB
iajs-2146	195	9	fixed	fix	VERB
iajs-2146	195	10	points	point	NOUN
iajs-2146	195	11	of	of	ADP
iajs-2146	195	12	generalize	generalize	VERB
iajs-2146	195	13	nonexpansive	nonexpansive	ADJ
iajs-2146	195	14	mappings	mapping	NOUN
iajs-2146	195	15	via	via	ADP
iajs-2146	195	16	faster	fast	ADJ
iajs-2146	195	17	iteration	iteration	NOUN
iajs-2146	195	18	schemes	scheme	NOUN
iajs-2146	195	19	.	.	PUNCT
iajs-2146	196	1	fixed	fix	VERB
iajs-2146	196	2	point	point	NOUN
iajs-2146	196	3	theory	theory	NOUN
iajs-2146	196	4	.	.	PUNCT
iajs-2146	197	1	2014	2014	NUM
iajs-2146	197	2	,	,	PUNCT
iajs-2146	197	3	4	4	NUM
iajs-2146	197	4	,	,	PUNCT
iajs-2146	197	5	4	4	NUM
iajs-2146	197	6	,	,	PUNCT
iajs-2146	197	7	605	605	NUM
iajs-2146	197	8	-	-	SYM
iajs-2146	197	9	623	623	NUM
iajs-2146	197	10	.	.	PUNCT
iajs-2146	198	1	92	92	NUM
iajs-2146	198	2	lbn	lbn	ADJ
iajs-2146	198	3	al	al	PROPN
iajs-2146	198	4	-	-	PUNCT
iajs-2146	198	5	haitham	haitham	PROPN
iajs-2146	198	6	jour.for	jour.for	ADP
iajs-2146	198	7	pure	pure	ADJ
iajs-2146	198	8	&	&	CCONJ
iajs-2146	198	9	appl	appl	PROPN
iajs-2146	198	10	.sci	.sci	PROPN
iajs-2146	198	11	.	.	PUNCT
iajs-2146	199	1	32	32	NUM
iajs-2146	199	2	(	(	PUNCT
iajs-2146	199	3	2	2	NUM
iajs-2146	199	4	)	)	PUNCT
iajs-2146	199	5	2019	2019	NUM
iajs-2146	199	6	11	11	NUM
iajs-2146	199	7	.	.	PUNCT
iajs-2146	200	1	khan	khan	PROPN
iajs-2146	200	2	,	,	PUNCT
iajs-2146	200	3	s.h	s.h	PROPN
iajs-2146	200	4	.	.	PROPN
iajs-2146	200	5	;	;	PUNCT
iajs-2146	200	6	abbas	abbas	PROPN
iajs-2146	200	7	,	,	PUNCT
iajs-2146	200	8	m.	m.	NOUN
iajs-2146	200	9	;	;	PUNCT
iajs-2146	200	10	khan	khan	PROPN
iajs-2146	200	11	,	,	PUNCT
iajs-2146	200	12	a.r	a.r	PROPN
iajs-2146	200	13	.	.	PROPN
iajs-2146	200	14	common	common	ADJ
iajs-2146	200	15	fixed	fix	VERB
iajs-2146	200	16	points	point	NOUN
iajs-2146	200	17	of	of	ADP
iajs-2146	200	18	two	two	NUM
iajs-2146	200	19	nonexpansive	nonexpansive	ADJ
iajs-2146	200	20	mappings	mapping	NOUN
iajs-2146	200	21	by	by	ADP
iajs-2146	200	22	a	a	DET
iajs-2146	200	23	new	new	ADJ
iajs-2146	200	24	one	one	NUM
iajs-2146	200	25	-	-	PUNCT
iajs-2146	200	26	step	step	NOUN
iajs-2146	200	27	iteration	iteration	NOUN
iajs-2146	200	28	process	process	NOUN
iajs-2146	200	29	.	.	PUNCT
iajs-2146	201	1	iranian	iranian	ADJ
iajs-2146	201	2	journal	journal	PROPN
iajs-2146	201	3	of	of	ADP
iajs-2146	201	4	science	science	PROPN
iajs-2146	201	5	&	&	CCONJ
iajs-2146	201	6	technology	technology	NOUN
iajs-2146	201	7	,	,	PUNCT
iajs-2146	201	8	transuction	transuction	NOUN
iajs-2146	201	9	a.	a.	NOUN
iajs-2146	201	10	2009	2009	NUM
iajs-2146	201	11	,	,	PUNCT
iajs-2146	201	12	1	1	NUM
iajs-2146	201	13	,	,	PUNCT
iajs-2146	201	14	33	33	NUM
iajs-2146	201	15	,	,	PUNCT
iajs-2146	201	16	a3	a3	NOUN
iajs-2146	201	17	.	.	PUNCT
iajs-2146	202	1	12	12	NUM
iajs-2146	202	2	.	.	PUNCT
iajs-2146	202	3	deli	deli	PROPN
iajs-2146	202	4	,	,	PUNCT
iajs-2146	202	5	w.	w.	PROPN
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iajs-2146	202	11	xinwen	xinwen	PROPN
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iajs-2146	202	18	non	non	ADJ
iajs-2146	202	19	-	-	ADJ
iajs-2146	202	20	commuting	commuting	ADJ
iajs-2146	202	21	generalized	generalized	ADJ
iajs-2146	202	22	(	(	PUNCT
iajs-2146	202	23	f	f	X
iajs-2146	202	24	,	,	PUNCT
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iajs-2146	203	6	,	,	PUNCT
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iajs-2146	203	13	2602	2602	NUM
iajs-2146	203	14	.	.	PUNCT
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iajs-2146	204	2	.	.	PUNCT
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iajs-2146	205	10	pseudo	pseudo	ADJ
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iajs-2146	205	12	contractive	contractive	ADJ
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iajs-2146	205	14	.	.	PUNCT
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iajs-2146	206	2	.	.	PUNCT
iajs-2146	207	1	amer	amer	PROPN
iajs-2146	207	2	.	.	PUNCT
iajs-2146	207	3	math	math	PROPN
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iajs-2146	208	1	soc	soc	PROPN
iajs-2146	208	2	.	.	PUNCT
iajs-2146	209	1	1991	1991	NUM
iajs-2146	209	2	,	,	PUNCT
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iajs-2146	209	4	,	,	PUNCT
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iajs-2146	209	7	14	14	NUM
iajs-2146	209	8	.	.	PUNCT
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iajs-2146	210	6	,	,	PUNCT
iajs-2146	210	7	m.a	m.a	PROPN
iajs-2146	210	8	.	.	PROPN
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iajs-2146	210	11	integral	integral	ADJ
iajs-2146	210	12	equation	equation	NOUN
iajs-2146	210	13	via	via	ADP
iajs-2146	210	14	picard	picard	NOUN
iajs-2146	210	15	operators	operator	NOUN
iajs-2146	210	16	.	.	PUNCT
iajs-2146	211	1	fixed	fix	VERB
iajs-2146	211	2	point	point	NOUN
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iajs-2146	211	4	.	.	PUNCT
iajs-2146	212	1	2011	2011	NUM
iajs-2146	212	2	,	,	PUNCT
iajs-2146	212	3	12	12	NUM
iajs-2146	212	4	,	,	PUNCT
iajs-2146	212	5	1	1	NUM
iajs-2146	212	6	,	,	PUNCT
iajs-2146	212	7	57	57	NUM
iajs-2146	212	8	-	-	SYM
iajs-2146	212	9	70	70	NUM
iajs-2146	212	10	.	.	PUNCT
iajs-2146	213	1	15	15	NUM
iajs-2146	213	2	.	.	PUNCT
iajs-2146	213	3	abed	abe	VERB
iajs-2146	213	4	,	,	PUNCT
iajs-2146	213	5	s.s	s.s	PROPN
iajs-2146	213	6	.	.	PROPN
iajs-2146	213	7	;	;	PUNCT
iajs-2146	214	1	hasan	hasan	PROPN
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iajs-2146	214	3	z.m	z.m	PROPN
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iajs-2146	214	9	a	a	DET
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iajs-2146	214	11	-	-	ADJ
iajs-2146	214	12	step	step	ADJ
iajs-2146	214	13	iteration	iteration	NOUN
iajs-2146	214	14	algorithm	algorithm	NOUN
iajs-2146	214	15	under	under	ADP
iajs-2146	214	16	two	two	NUM
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iajs-2146	214	19	of	of	ADP
iajs-2146	214	20	total	total	ADJ
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iajs-2146	214	22	quasi	quasi	ADJ
iajs-2146	214	23	-	-	ADJ
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iajs-2146	214	25	maps	map	NOUN
iajs-2146	214	26	.ieee	.ieee	PRON
iajs-2146	214	27	explore	explore	VERB
iajs-2146	214	28	digital	digital	ADJ
iajs-2146	214	29	library	library	NOUN
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iajs-2146	214	31	conference	conference	NOUN
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iajs-2146	214	37	(	(	PUNCT
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iajs-2146	216	4	,	,	PUNCT
iajs-2146	216	5	s.s	s.s	PROPN
iajs-2146	216	6	.	.	PROPN
iajs-2146	216	7	;	;	PUNCT
iajs-2146	216	8	abed	abed	PROPN
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iajs-2146	216	10	,	,	PUNCT
iajs-2146	216	11	r.s	r.s	PROPN
iajs-2146	216	12	.	.	PROPN
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iajs-2146	216	14	point	point	NOUN
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iajs-2146	216	16	asymptotically	asymptotically	ADV
iajs-2146	216	17	non	non	ADJ
iajs-2146	216	18	-	-	ADJ
iajs-2146	216	19	expansive	expansive	ADJ
iajs-2146	216	20	mappings	mapping	NOUN
iajs-2146	216	21	in	in	ADP
iajs-2146	216	22	2banach	2banach	NUM
iajs-2146	216	23	space	space	NOUN
iajs-2146	216	24	.	.	PUNCT
iajs-2146	217	1	ibn	ibn	PROPN
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iajs-2146	217	4	haitham	haitham	PROPN
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iajs-2146	217	8	pure	pure	ADJ
iajs-2146	217	9	&	&	CCONJ
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iajs-2146	218	1	sci.2014,27,1,343	sci.2014,27,1,343	PROPN
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iajs-2146	218	3	350	350	NUM
iajs-2146	218	4	.	.	PUNCT
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iajs-2146	219	2	https://ieeexplore.ieee.org/xpl/mostrecentissue.jsp?punumber=8526361	https://ieeexplore.ieee.org/xpl/mostrecentissue.jsp?punumber=8526361	VERB
iajs-2146	219	3	https://doi.org/10.1109/icoase.2018.8548873	https://doi.org/10.1109/icoase.2018.8548873	PROPN