id	sid	eid	entity	type
ma-198	1	1	2024	CARDINAL
ma-198	2	1	j. math	PERSON
ma-198	4	1	4 (2024	CARDINAL
ma-198	5	1	2doi	CARDINAL
ma-198	5	2	10.28924	CARDINAL
ma-198	5	3	john t mendy2,∗ 1department	PERSON
ma-198	5	4	university of toledo, usa	ORG
ma-198	6	1	2department	TIME
ma-198	6	2	italy	GPE
ma-198	6	3	67010	DATE
ma-198	6	4	italy	GPE
ma-198	11	1	1	CARDINAL
ma-198	11	2	the mid−20th century	DATE
ma-198	14	1	inequalities.fixed	PERSON
ma-198	16	1	22	CARDINAL
ma-198	19	1	1	CARDINAL
ma-198	20	1	j. math	PERSON
ma-198	22	1	10.28924	CARDINAL
ma-198	27	1	30	CARDINAL
ma-198	27	2	10	CARDINAL
ma-198	27	3	11	CARDINAL
ma-198	27	4	2	CARDINAL
ma-198	27	5	33	CARDINAL
ma-198	27	6	9	CARDINAL
ma-198	27	7	26]).demicontractive	CARDINAL
ma-198	29	1	recent years	DATE
ma-198	29	2	problems.these	NORP
ma-198	31	1	6	CARDINAL
ma-198	31	2	25	CARDINAL
ma-198	31	3	5	CARDINAL
ma-198	31	4	29	CARDINAL
ma-198	32	1	23	CARDINAL
ma-198	33	1	19	CARDINAL
ma-198	33	2	28]).throughout	CARDINAL
ma-198	34	1	〉	CARDINAL
ma-198	35	1	1.1	CARDINAL
ma-198	35	2	0	CARDINAL
ma-198	35	3	〉	CARDINAL
ma-198	35	4	∀x ∈	ORG
ma-198	35	5	1.2	CARDINAL
ma-198	35	6	k ∈	ORG
ma-198	35	7	0	CARDINAL
ma-198	35	8	1	CARDINAL
ma-198	36	1	y〉h	GPE
ma-198	36	2	∀x	GPE
ma-198	36	3	1.3	CARDINAL
ma-198	36	4	1.1	CARDINAL
ma-198	37	1	mapping(1	NORP
ma-198	37	2	⊆	CARDINAL
ma-198	37	3	h(tx	GPE
ma-198	37	4	0	CARDINAL
ma-198	37	5	1	CARDINAL
ma-198	37	6	h(tx	GPE
ma-198	38	1	∀x ∈ d(t	ORG
ma-198	39	1	j. math	PERSON
ma-198	41	1	10.28924	CARDINAL
ma-198	41	2	3(3	CARDINAL
ma-198	41	3	⊆	CARDINAL
ma-198	41	4	k ∈	PERSON
ma-198	41	5	0	CARDINAL
ma-198	41	6	1	CARDINAL
ma-198	41	7	h(tx	GPE
ma-198	41	8	2 ≤	MONEY
ma-198	46	1	1	CARDINAL
ma-198	47	1	26	CARDINAL
ma-198	48	1	⊆	CARDINAL
ma-198	48	2	2e	CARDINAL
ma-198	48	3	6=	CARDINAL
ma-198	48	4	k ∈	PERSON
ma-198	48	5	0	CARDINAL
ma-198	48	6	1	CARDINAL
ma-198	49	1	h(tx	GPE
ma-198	49	2	2 ≤	MONEY
ma-198	49	3	+ kd(x	GPE
ma-198	49	4	t x)2	GPE
ma-198	50	1	1	CARDINAL
ma-198	53	1	tx	ORG
ma-198	56	1	tx	ORG
ma-198	56	2	6=	CARDINAL
ma-198	57	1	nonempty	CARDINAL
ma-198	58	1	d(x	ORG
ma-198	60	1	y ∈ d},∀x	PERSON
ma-198	60	2	1.4	CARDINAL
ma-198	60	3	d(x	ORG
ma-198	61	1	y ∈ e.	PERSON
ma-198	62	1	nonempty	ORG
ma-198	63	1	nonempty	ORG
ma-198	63	2	nonempty	CARDINAL
ma-198	63	3	k(d	PERSON
ma-198	64	1	h(a	ORG
ma-198	64	2	max	PERSON
ma-198	65	1	1.5	CARDINAL
ma-198	66	1	2h	CARDINAL
ma-198	68	1	{x	PERSON
ma-198	68	2	1.6	CARDINAL
ma-198	68	3	2h	CARDINAL
ma-198	68	4	0	CARDINAL
ma-198	69	1	y〉h	GPE
ma-198	70	1	− ay‖2	GPE
ma-198	70	2	∀x	GPE
ma-198	70	3	1.7	CARDINAL
ma-198	70	4	1.2	CARDINAL
ma-198	71	1	1	CARDINAL
ma-198	73	1	j. math	PERSON
ma-198	75	1	10.28924	CARDINAL
ma-198	75	2	4	CARDINAL
ma-198	75	3	2h	CARDINAL
ma-198	75	4	ω ∈m(x	ORG
ma-198	75	5	1.8	CARDINAL
ma-198	75	6	ω	ORG
ma-198	75	7	zero	CARDINAL
ma-198	75	8	1.8	CARDINAL
ma-198	75	9	s(m	ORG
ma-198	76	1	ω = athen	PERCENT
ma-198	76	2	1.8	CARDINAL
ma-198	76	3	16].further	CARDINAL
ma-198	76	4	zeros	CARDINAL
ma-198	76	5	17	CARDINAL
ma-198	76	6	18	CARDINAL
ma-198	76	7	19	CARDINAL
ma-198	76	8	8	CARDINAL
ma-198	76	9	12	CARDINAL
ma-198	76	10	2h	CARDINAL
ma-198	77	1	jm	PERSON
ma-198	77	2	jm λ	PERSON
ma-198	78	1	∈	ORG
ma-198	78	2	1.9	CARDINAL
ma-198	79	1	jm λ	PERSON
ma-198	79	2	1−inverse	CARDINAL
ma-198	79	3	1.8	CARDINAL
ma-198	79	4	jm λ	PERSON
ma-198	79	5	∀λ	PERSON
ma-198	79	6	0	CARDINAL
ma-198	79	7	y ∈ tx	PERSON
ma-198	80	1	− x‖ = d(x	PERSON
ma-198	80	2	1.10	CARDINAL
ma-198	81	1	6=	CARDINAL
ma-198	81	2	∈	ORG
ma-198	81	3	mendy et al	PERSON
ma-198	82	1	6=	CARDINAL
ma-198	82	2	∈	ORG
ma-198	82	3	three	CARDINAL
ma-198	82	4	1.3	CARDINAL
ma-198	83	1	k ∈	PERSON
ma-198	83	2	0	CARDINAL
ma-198	83	3	1	CARDINAL
ma-198	83	4	h(tx	GPE
ma-198	83	5	2 ≤	MONEY
ma-198	84	1	+ kd(x	GPE
ma-198	84	2	t x)2	GPE
ma-198	85	1	∈	ORG
ma-198	86	1	tx	ORG
ma-198	87	1	h(tx	GPE
ma-198	89	1	k ∈	ORG
ma-198	89	2	0	CARDINAL
ma-198	89	3	1	CARDINAL
ma-198	90	1	1.4	CARDINAL
ma-198	91	1	pseudocontractive-type.to	ORG
ma-198	91	2	k ∈	ORG
ma-198	91	3	0	CARDINAL
ma-198	91	4	1	CARDINAL
ma-198	91	5	h(tx	GPE
ma-198	91	6	2 ≤	CARDINAL
ma-198	91	7	+ kd(x	GPE
ma-198	91	8	x)2	GPE
ma-198	92	1	j. math	PERSON
ma-198	94	1	10.28924	CARDINAL
ma-198	94	2	1.3	CARDINAL
ma-198	94	3	h(tx	GPE
ma-198	96	1	0 ≤	MONEY
ma-198	97	1	6=	CARDINAL
ma-198	97	2	1	CARDINAL
ma-198	97	3	k ∈	ORG
ma-198	97	4	0	CARDINAL
ma-198	97	5	1	CARDINAL
ma-198	98	1	1.5	CARDINAL
ma-198	99	1	demicontractive-type.let	NORP
ma-198	100	1	∈	ORG
ma-198	100	2	6=	CARDINAL
ma-198	100	3	tx	ORG
ma-198	100	4	‖x	PERSON
ma-198	101	1	0	CARDINAL
ma-198	102	1	d(x	ORG
ma-198	102	2	h(tx	GPE
ma-198	102	3	2 ≤	MONEY
ma-198	103	1	+ kd(x	GPE
ma-198	103	2	x)2	GPE
ma-198	105	1	+ kd(x	GPE
ma-198	105	2	t x)2	GPE
ma-198	106	1	0	CARDINAL
ma-198	106	2	0	CARDINAL
ma-198	107	1	k ∈	ORG
ma-198	107	2	0	CARDINAL
ma-198	107	3	1	CARDINAL
ma-198	107	4	k ∈	ORG
ma-198	107	5	0	CARDINAL
ma-198	107	6	1	CARDINAL
ma-198	109	1	1.8	CARDINAL
ma-198	109	2	14	CARDINAL
ma-198	110	1	0	CARDINAL
ma-198	111	1	1.11	CARDINAL
ma-198	111	2	dom(m	GPE
ma-198	112	1	31	CARDINAL
ma-198	113	1	tseng	PERSON
ma-198	113	2	20	CARDINAL
ma-198	113	3	24	CARDINAL
ma-198	113	4	g.h-g.chen	PERSON
ma-198	113	5	r.t.	PERSON
ma-198	114	1	31].most	CARDINAL
ma-198	114	2	28	CARDINAL
ma-198	114	3	1.8	CARDINAL
ma-198	116	1	j. math	PERSON
ma-198	118	1	10.28924	CARDINAL
ma-198	118	2	1−	TIME
ma-198	118	3	∈	ORG
ma-198	118	4	1− βn)un	PRODUCT
ma-198	118	5	un	ORG
ma-198	118	6	∈	PRODUCT
ma-198	119	1	1−	LANGUAGE
ma-198	119	2	1.12	CARDINAL
ma-198	120	1	28	CARDINAL
ma-198	121	1	2	CARDINAL
ma-198	121	2	∈	ORG
ma-198	121	3	‖x	PERSON
ma-198	122	1	〉	CARDINAL
ma-198	122	2	2.1	CARDINAL
ma-198	122	3	2.1	CARDINAL
ma-198	123	1	27	CARDINAL
ma-198	124	1	2h	CARDINAL
ma-198	125	1	2h	CARDINAL
ma-198	126	1	2.2	CARDINAL
ma-198	127	1	28	CARDINAL
ma-198	129	1	π ∈ h	ORG
ma-198	129	2	θ ∈	ORG
ma-198	130	1	0	CARDINAL
ma-198	130	2	2α	CARDINAL
ma-198	132	1	2.2	CARDINAL
ma-198	132	2	2.3	CARDINAL
ma-198	133	1	24	CARDINAL
ma-198	134	1	1 − bn)an	MONEY
ma-198	135	1	0	CARDINAL
ma-198	135	2	1	CARDINAL
ma-198	136	1	n→∞	CARDINAL
ma-198	137	1	lim	PERSON
ma-198	137	2	n→∞	DATE
ma-198	138	1	j. math	PERSON
ma-198	140	1	10.28924	CARDINAL
ma-198	140	2	7	CARDINAL
ma-198	140	3	2.4	CARDINAL
ma-198	141	1	wang	ORG
ma-198	142	1	1	CARDINAL
ma-198	144	1	k−	NORP
ma-198	145	1	0	CARDINAL
ma-198	145	2	2k	CARDINAL
ma-198	145	3	2	CARDINAL
ma-198	146	1	∈	ORG
ma-198	146	2	0,min ( 1	CARDINAL
ma-198	146	3	1 τ	QUANTITY
ma-198	151	1	∀x	GPE
ma-198	151	2	∈	ORG
ma-198	151	3	2.3	CARDINAL
ma-198	151	4	2.5	CARDINAL
ma-198	152	1	29	CARDINAL
ma-198	154	1	0	CARDINAL
ma-198	154	2	1	CARDINAL
ma-198	157	1	1−	CARDINAL
ma-198	158	1	1−	TIME
ma-198	159	1	3	CARDINAL
ma-198	160	1	3.1	CARDINAL
ma-198	162	1	2h	CARDINAL
ma-198	162	2	β−	GPE
ma-198	162	3	t3	ORG
ma-198	164	1	2k	CARDINAL
ma-198	164	2	2	CARDINAL
ma-198	166	1	∩ s(m	PERSON
ma-198	166	2	6=	CARDINAL
ma-198	168	1	q},∀q ∈ ω	ORG
ma-198	169	1	x0 ∈ k	PERSON
ma-198	169	2	1−	TIME
ma-198	169	3	zn	DATE
ma-198	169	4	1− βn)un	PRODUCT
ma-198	169	5	un	ORG
ma-198	169	6	∈	PRODUCT
ma-198	169	7	1− γn)wn	PRODUCT
ma-198	169	8	∈	ORG
ma-198	169	9	3.1	CARDINAL
ma-198	169	10	0	CARDINAL
ma-198	169	11	1	CARDINAL
ma-198	169	12	lim n→∞	LAW
ma-198	171	1	∈	ORG
ma-198	172	1	0,min{1	CARDINAL
ma-198	172	2	2α	CARDINAL
ma-198	173	1	j. math	PERSON
ma-198	175	1	10.28924	CARDINAL
ma-198	175	2	lim n→∞	LAW
ma-198	175	3	lim n→∞	PERSON
ma-198	175	4	0	CARDINAL
ma-198	175	5	∈	ORG
ma-198	175	6	1	CARDINAL
ma-198	175	7	0	CARDINAL
ma-198	176	1	3.1	CARDINAL
ma-198	176	2	∈ ω	ORG
ma-198	177	1	〉	CARDINAL
ma-198	177	2	∈ ω	ORG
ma-198	177	3	3.2	CARDINAL
ma-198	178	1	η	GPE
ma-198	178	2	3.2	CARDINAL
ma-198	179	1	first	ORDINAL
ma-198	179	2	two	CARDINAL
ma-198	179	3	y∗ ∈ ω	ORG
ma-198	179	4	two	CARDINAL
ma-198	180	1	〉 ≤	MONEY
ma-198	180	2	3.3	CARDINAL
ma-198	180	3	y∗	DATE
ma-198	180	4	〉 ≤	MONEY
ma-198	181	1	3.4	CARDINAL
ma-198	181	2	3.3	CARDINAL
ma-198	181	3	3.4	CARDINAL
ma-198	184	1	y∗	DATE
ma-198	184	2	〉 ≤	MONEY
ma-198	185	1	3.5	CARDINAL
ma-198	186	1	2	CARDINAL
ma-198	186	2	2	CARDINAL
ma-198	186	3	⇔ η	PERSON
ma-198	186	4	2	CARDINAL
ma-198	186	5	⇔ τ	PERSON
ma-198	186	6	y∗	DATE
ma-198	186	7	〉	CARDINAL
ma-198	187	1	ηby∗ − ηbx∗	PERSON
ma-198	188	1	y∗	DATE
ma-198	189	1	〉	CARDINAL
ma-198	190	1	ηby∗ − ηbx∗	PERSON
ma-198	190	2	〉	CARDINAL
ma-198	192	1	3.5	CARDINAL
ma-198	195	1	∈	ORG
ma-198	195	2	0,min	CARDINAL
ma-198	195	3	1 τ	QUANTITY
ma-198	195	4	∀x	GPE
ma-198	195	5	y ∈ h	ORG
ma-198	195	6	2.4	CARDINAL
ma-198	195	7	φ	PERSON
ma-198	198	1	j. math	PERSON
ma-198	200	1	10.28924	CARDINAL
ma-198	200	2	9	CARDINAL
ma-198	203	1	− y‖	PERSON
ma-198	204	1	2.1	CARDINAL
ma-198	207	1	〉 ≤ 0,∀q	MONEY
ma-198	208	1	∈ ω	ORG
ma-198	208	2	3.1)let	CARDINAL
ma-198	208	3	∈ ω	ORG
ma-198	208	4	1−inverse	CARDINAL
ma-198	208	5	3.6	CARDINAL
ma-198	208	6	3.6	CARDINAL
ma-198	208	7	lemma	ORG
ma-198	208	8	2.5	CARDINAL
ma-198	208	9	3.1	CARDINAL
ma-198	208	10	t1	ORG
ma-198	209	1	1−	CARDINAL
ma-198	209	2	1−	WORK_OF_ART
ma-198	209	3	1−	TIME
ma-198	209	4	−	PERSON
ma-198	209	5	1−	WORK_OF_ART
ma-198	209	6	1−	WORK_OF_ART
ma-198	212	1	3.7	CARDINAL
ma-198	214	1	∈	ORG
ma-198	214	2	1	CARDINAL
ma-198	214	3	2.5	CARDINAL
ma-198	214	4	3.1	CARDINAL
ma-198	215	1	j. math	PERSON
ma-198	217	1	10.28924	CARDINAL
ma-198	217	2	10	CARDINAL
ma-198	218	1	1− βn)(un − q)‖2	LAW
ma-198	219	1	1−	ORDINAL
ma-198	220	1	1−	ORDINAL
ma-198	221	1	1−	ORDINAL
ma-198	222	1	1−	TIME
ma-198	222	2	1−	ORDINAL
ma-198	224	1	3.8	CARDINAL
ma-198	226	1	∈	ORG
ma-198	226	2	1	CARDINAL
ma-198	228	1	1−	WORK_OF_ART
ma-198	230	1	1− γn)h(t3z	QUANTITY
ma-198	231	1	1− γn)‖zn	TIME
ma-198	233	1	3.9	CARDINAL
ma-198	234	1	3.10	CARDINAL
ma-198	234	2	3.1	CARDINAL
ma-198	234	3	3.10	CARDINAL
ma-198	234	4	2.4	CARDINAL
ma-198	235	1	1−	WORK_OF_ART
ma-198	235	2	1−	CARDINAL
ma-198	235	3	1−	CARDINAL
ma-198	235	4	1− α(τ	LAW
ma-198	235	5	− q)‖+	ORG
ma-198	235	6	max	PERSON
ma-198	235	7	− q‖	PERSON
ma-198	236	1	max	PERSON
ma-198	237	1	∀n ≥ 1	DATE
ma-198	238	1	j. math	PERSON
ma-198	240	1	10.28924	CARDINAL
ma-198	240	2	11hence	CARDINAL
ma-198	241	1	3.1	CARDINAL
ma-198	241	2	2.5	CARDINAL
ma-198	242	1	1−	ORDINAL
ma-198	242	2	+ 2αn(1− ταn)‖γf	DATE
ma-198	243	1	+ 2αn(1− ταn)‖γf	DATE
ma-198	243	2	1−	WORK_OF_ART
ma-198	247	1	1−	ORDINAL
ma-198	247	2	1−	WORK_OF_ART
ma-198	248	1	1−	WORK_OF_ART
ma-198	251	1	1−	ORDINAL
ma-198	251	2	1−	WORK_OF_ART
ma-198	251	3	1−	WORK_OF_ART
ma-198	253	1	xn)− ηbq‖‖xn −	LOC
ma-198	254	1	αn(2τ	DATE
ma-198	254	2	1−	WORK_OF_ART
ma-198	255	1	1−	WORK_OF_ART
ma-198	257	1	xn)− ηbq‖‖xn −	LOC
ma-198	258	1	1− ταn)2	PRODUCT
ma-198	259	1	+	CARDINAL
ma-198	260	1	αn(2τ	DATE
ma-198	261	1	xn)− ηbq‖‖xn	LOC
ma-198	264	1	j. math	PERSON
ma-198	266	1	10.28924	CARDINAL
ma-198	266	2	0	CARDINAL
ma-198	266	3	1− ταn)2	PRODUCT
ma-198	267	1	+	CARDINAL
ma-198	268	1	3.11	CARDINAL
ma-198	270	1	two	CARDINAL
ma-198	271	1	1	CARDINAL
ma-198	273	1	lim	PERSON
ma-198	273	2	n→∞	CARDINAL
ma-198	274	1	0	CARDINAL
ma-198	274	2	3.12	CARDINAL
ma-198	274	3	3.11	CARDINAL
ma-198	275	1	lim n→∞	ORG
ma-198	276	1	3.13	CARDINAL
ma-198	276	2	lim n→∞	PERSON
ma-198	277	1	0	CARDINAL
ma-198	277	2	3.14	CARDINAL
ma-198	277	3	lim	PERSON
ma-198	278	1	lim	PERSON
ma-198	278	2	0	CARDINAL
ma-198	278	3	un	ORG
ma-198	278	4	∈	PRODUCT
ma-198	278	5	lim	ORG
ma-198	278	6	3.15	CARDINAL
ma-198	278	7	lim n→∞	PERSON
ma-198	279	1	3.16	DATE
ma-198	280	1	1−	WORK_OF_ART
ma-198	281	1	1−	WORK_OF_ART
ma-198	282	1	1−	WORK_OF_ART
ma-198	283	1	3.17	CARDINAL
ma-198	283	2	3.13	CARDINAL
ma-198	283	3	lim	PERSON
ma-198	283	4	n→∞	PRODUCT
ma-198	284	1	0	CARDINAL
ma-198	285	1	j. math	PERSON
ma-198	287	1	10.28924	CARDINAL
ma-198	287	2	13	CARDINAL
ma-198	287	3	1−	WORK_OF_ART
ma-198	287	4	1− βn)un	LAW
ma-198	287	5	1−	ORDINAL
ma-198	288	1	3.18	CARDINAL
ma-198	288	2	3.14	CARDINAL
ma-198	288	3	lim	PERSON
ma-198	293	1	− δn‖ hence lim	PERSON
ma-198	294	1	0now	DATE
ma-198	294	2	lemma	ORG
ma-198	294	3	2.2	CARDINAL
ma-198	294	4	2.4	CARDINAL
ma-198	294	5	3.1	CARDINAL
ma-198	295	1	1−	ORDINAL
ma-198	295	2	+ 2αn(1− ταn)‖γf	DATE
ma-198	295	3	1−	ORDINAL
ma-198	296	1	+ 2αn(1− ταn)‖γf	DATE
ma-198	296	2	1− ταn)2‖jmλn(1− λa)xn	DATE
ma-198	298	1	1− ταn)2	PRODUCT
ma-198	298	2	2α)‖axn	CARDINAL
ma-198	299	1	+ 2αn(1− ταn)‖γf	DATE
ma-198	299	2	xn)− ηbq‖‖xn −	LOC
ma-198	299	3	αn(2τ	DATE
ma-198	302	1	1−	TIME
ma-198	302	2	3.19	CARDINAL
ma-198	303	1	xn)− ηbq‖‖xn −	LOC
ma-198	303	2	0	CARDINAL
ma-198	303	3	1−	MONEY
ma-198	305	1	j. math	PERSON
ma-198	307	1	10.28924	CARDINAL
ma-198	307	2	14since	CARDINAL
ma-198	307	3	lim n→∞	ORG
ma-198	307	4	0	CARDINAL
ma-198	307	5	3.12	CARDINAL
ma-198	307	6	lim	ORG
ma-198	307	7	n→∞	CARDINAL
ma-198	308	1	‖axn − aq‖2	ORG
ma-198	308	2	3.20	CARDINAL
ma-198	308	3	jmλn	ORG
ma-198	308	4	1−inverse	CARDINAL
ma-198	310	1	〉	CARDINAL
ma-198	310	2	1 2	CARDINAL
ma-198	316	1	≤ 1 2	CARDINAL
ma-198	318	1	〉	CARDINAL
ma-198	319	1	〉	CARDINAL
ma-198	320	1	〉	CARDINAL
ma-198	320	2	3.21	CARDINAL
ma-198	321	1	1−	ORDINAL
ma-198	321	2	+ 2αn(1− ταn)‖γf	DATE
ma-198	321	3	1− ταn)2	PRODUCT
ma-198	322	1	〉	CARDINAL
ma-198	323	1	+ 2αn(1− ταn)‖γf	DATE
ma-198	323	2	xn)− ηbq‖‖xn −	LOC
ma-198	323	3	1−	ORDINAL
ma-198	323	4	1−	ORDINAL
ma-198	324	1	〉	CARDINAL
ma-198	325	1	xn)− ηbq‖‖xn −	LOC
ma-198	325	2	3.22	CARDINAL
ma-198	326	1	j. math	PERSON
ma-198	328	1	10.28924	CARDINAL
ma-198	328	2	15thus	CARDINAL
ma-198	328	3	3.25	CARDINAL
ma-198	328	4	1−	ORDINAL
ma-198	330	1	3.23	CARDINAL
ma-198	332	1	〉	CARDINAL
ma-198	333	1	xn)− ηbq‖‖xn −	LOC
ma-198	333	2	3.12	CARDINAL
ma-198	333	3	3.20	CARDINAL
ma-198	333	4	lim	PERSON
ma-198	333	5	n→∞	CARDINAL
ma-198	334	1	0	CARDINAL
ma-198	334	2	3.10	CARDINAL
ma-198	334	3	2.5	CARDINAL
ma-198	334	4	t3	ORG
ma-198	336	1	1− γn)γn‖wn	LAW
ma-198	338	1	1− γn)h(t3zn	MONEY
ma-198	338	2	1− γn)γn‖wn	LAW
ma-198	340	1	1− γn)‖zn	TIME
ma-198	340	2	1− γn)γn‖wn	LAW
ma-198	340	3	1− γn)γn‖wn	LAW
ma-198	340	4	3.24	CARDINAL
ma-198	341	1	1−	ORDINAL
ma-198	341	2	+ 2αn(1− ταn)‖γf	DATE
ma-198	341	3	1− ταn)2	PRODUCT
ma-198	341	4	1− γn)γn‖wn	LAW
ma-198	342	1	+ 2αn(1− ταn)‖γf	DATE
ma-198	342	2	1−	ORDINAL
ma-198	342	3	1−	WORK_OF_ART
ma-198	343	1	1−	WORK_OF_ART
ma-198	347	1	j. math	PERSON
ma-198	349	1	10.28924	CARDINAL
ma-198	349	2	3.12	CARDINAL
ma-198	349	3	3.20	CARDINAL
ma-198	349	4	1−	WORK_OF_ART
ma-198	349	5	lim n→∞	PERSON
ma-198	349	6	1− γn)γn‖wn	LAW
ma-198	350	1	3.25	CARDINAL
ma-198	350	2	lim n→∞	LAW
ma-198	351	1	3.26	CARDINAL
ma-198	351	2	w ∈ t3zn lim	PERSON
ma-198	351	3	n→∞ d(zn	GPE
ma-198	351	4	3.27	CARDINAL
ma-198	351	5	lim	PERSON
ma-198	352	1	〉	CARDINAL
ma-198	353	1	x∗∗	GPE
ma-198	354	1	〉	CARDINAL
ma-198	355	1	〉	CARDINAL
ma-198	355	2	3.32	CARDINAL
ma-198	355	3	3.27	CARDINAL
ma-198	355	4	x∗∗ ∈	PERSON
ma-198	356	1	x∗∗ ∈ s(m	ORG
ma-198	357	1	2.1	CARDINAL
ma-198	357	2	ν	NORP
ma-198	360	1	1	CARDINAL
ma-198	360	2	∈	ORG
ma-198	362	1	〉	CARDINAL
ma-198	362	2	〉	CARDINAL
ma-198	362	3	+ 1	DATE
ma-198	362	4	〉	CARDINAL
ma-198	363	1	〉+	MONEY
ma-198	364	1	1	CARDINAL
ma-198	364	2	〉	CARDINAL
ma-198	364	3	0	DATE
ma-198	364	4	x∗∗	PERSON
ma-198	366	1	〉	CARDINAL
ma-198	366	2	− x∗∗	PERSON
ma-198	366	3	〉	CARDINAL
ma-198	366	4	x∗∗ ∈ s(π	PERSON
ma-198	367	1	x∗∗ ∈ ω	ORG
ma-198	367	2	3.30	CARDINAL
ma-198	369	1	j. math	PERSON
ma-198	371	1	10.28924	CARDINAL
ma-198	373	1	〉	CARDINAL
ma-198	376	1	〉	CARDINAL
ma-198	379	1	〉 ≤	MONEY
ma-198	379	2	3.28	CARDINAL
ma-198	379	3	lim	PERSON
ma-198	379	4	n→∞	CARDINAL
ma-198	379	5	− x∗‖ = 0	PERSON
ma-198	384	1	〉 ≤	MONEY
ma-198	385	1	2 + 2αn〈ηbx∗	QUANTITY
ma-198	386	1	〉 ≤	MONEY
ma-198	386	2	2 + 2αn〈ηbx∗	TIME
ma-198	386	3	〉 ≤	MONEY
ma-198	386	4	1−	CARDINAL
ma-198	386	5	2	CARDINAL
ma-198	389	1	〉 ≤	MONEY
ma-198	389	2	1−	CARDINAL
ma-198	393	1	〉	CARDINAL
ma-198	393	2	2.3	CARDINAL
ma-198	394	1	2αn〈ηbx∗	CARDINAL
ma-198	395	1	〉	CARDINAL
ma-198	395	2	2	CARDINAL
ma-198	395	3	− x∗‖	PERSON
ma-198	397	1	n0	GPE
ma-198	397	2	n0	NORP
ma-198	397	3	k ≤ n	FAC
ma-198	398	1	n →∞	ORG
ma-198	398	2	n ≥ n0.	GPE
ma-198	399	1	3.11	CARDINAL
ma-198	401	1	3.29	CARDINAL
ma-198	402	1	1−θτ(n))(θτ(n)−β)‖vτ(n)−δτ(n)‖2+(1−βτ(n))(βτ(n)−β)‖uτ(n)−yτ(n)‖2	LAW
ma-198	402	2	0	CARDINAL
ma-198	403	1	1	CARDINAL
ma-198	403	2	lim n→∞	PERSON
ma-198	403	3	0	CARDINAL
ma-198	403	4	lim n→∞	PERSON
ma-198	406	1	lim	PERSON
ma-198	406	2	‖vτ(n	PRODUCT
ma-198	409	1	lim n→∞	LAW
ma-198	410	1	lim n→∞	PERSON
ma-198	413	1	j. math	PERSON
ma-198	415	1	10.28924	CARDINAL
ma-198	415	2	1	CARDINAL
ma-198	415	3	lim	PERSON
ma-198	417	1	3.29	CARDINAL
ma-198	417	2	0 ≤	MONEY
ma-198	420	1	〉	CARDINAL
ma-198	423	1	〉	CARDINAL
ma-198	423	2	lim n→∞ ‖xτ(n	PERSON
ma-198	426	1	lim n→∞	LAW
ma-198	427	1	n→∞	DATE
ma-198	427	2	n0	GPE
ma-198	428	1	wj	PERSON
ma-198	428	2	+ 1	DATE
ma-198	428	3	max	PERSON
ma-198	429	1	0	DATE
ma-198	430	1	3.1	CARDINAL
ma-198	430	2	3.2	CARDINAL
ma-198	432	1	k → h be	ORG
ma-198	432	2	2h	CARDINAL
ma-198	432	3	β−	GPE
ma-198	432	4	t3	ORG
ma-198	433	1	ix(t3)∩s(π	CARDINAL
ma-198	433	2	6=	CARDINAL
ma-198	433	3	q},∀q ∈ ω	ORG
ma-198	434	1	x0 ∈ k	PERSON
ma-198	434	2	1−	TIME
ma-198	434	3	zn	DATE
ma-198	434	4	1− βn)un	PRODUCT
ma-198	434	5	un	ORG
ma-198	434	6	∈	PRODUCT
ma-198	434	7	1− γn)wn	PRODUCT
ma-198	434	8	∈	ORG
ma-198	434	9	3.30	CARDINAL
ma-198	434	10	0	CARDINAL
ma-198	434	11	1	CARDINAL
ma-198	435	1	j. math	PERSON
ma-198	437	1	10.28924	CARDINAL
ma-198	437	2	19	CARDINAL
ma-198	437	3	lim n→∞	LAW
ma-198	439	1	lim n→∞	LAW
ma-198	439	2	lim n→∞	PERSON
ma-198	439	3	0	CARDINAL
ma-198	439	4	∈	ORG
ma-198	439	5	1	CARDINAL
ma-198	439	6	0	CARDINAL
ma-198	439	7	2k	CARDINAL
ma-198	439	8	2	CARDINAL
ma-198	439	9	3.30	CARDINAL
ma-198	439	10	∈ ω	ORG
ma-198	440	1	〉	CARDINAL
ma-198	440	2	∈ ω	ORG
ma-198	440	3	3.31	CARDINAL
ma-198	441	1	3.10	CARDINAL
ma-198	441	2	3.1	CARDINAL
ma-198	441	3	3.3	CARDINAL
ma-198	442	1	3.3	CARDINAL
ma-198	443	1	q},∀q ∈ ω	ORG
ma-198	443	2	3.3	CARDINAL
ma-198	445	1	k → h be	ORG
ma-198	445	2	2h	CARDINAL
ma-198	445	3	β−	GPE
ma-198	445	4	t3	ORG
ma-198	446	1	1−	TIME
ma-198	446	2	zn	DATE
ma-198	446	3	1− βn)un	PRODUCT
ma-198	446	4	un	ORG
ma-198	446	5	∈	PRODUCT
ma-198	447	1	1− γn)wn	PRODUCT
ma-198	447	2	∈	ORG
ma-198	449	1	3.32	CARDINAL
ma-198	449	2	0	CARDINAL
ma-198	449	3	1	CARDINAL
ma-198	449	4	lim n→∞	LAW
ma-198	452	1	j. math	PERSON
ma-198	454	1	10.28924	CARDINAL
ma-198	454	2	20 ii	CARDINAL
ma-198	454	3	lim n→∞	LAW
ma-198	454	4	lim n→∞	PERSON
ma-198	455	1	0	CARDINAL
ma-198	455	2	∈	ORG
ma-198	455	3	1	CARDINAL
ma-198	455	4	0	CARDINAL
ma-198	455	5	2k	CARDINAL
ma-198	455	6	k−	NORP
ma-198	455	7	2	CARDINAL
ma-198	456	1	3.32	CARDINAL
ma-198	456	2	∈ ω	ORG
ma-198	457	1	〉	CARDINAL
ma-198	457	2	∈ ω	ORG
ma-198	457	3	3.33	CARDINAL
ma-198	457	4	4	CARDINAL
ma-198	457	5	multivaluedquasi	GPE
ma-198	458	1	multival-ued	ORG
ma-198	460	1	1	CARDINAL
ma-198	460	2	s. wang	PERSON
ma-198	460	3	hilbert spaces	ORG
ma-198	461	1	lett	PERSON
ma-198	462	1	24 (2011	DATE
ma-198	462	2	901-907	CARDINAL
ma-198	463	1	j. geanakoplos	PERSON
ma-198	463	2	nash	PERSON
ma-198	464	1	21	DATE
ma-198	464	2	2003	DATE
ma-198	464	3	585-603.[3	MONEY
ma-198	464	4	s. kakutani	PERSON
ma-198	465	1	j. 8 (1941	PERSON
ma-198	465	2	457459.[4	CARDINAL
ma-198	465	3	b. lemaire	PERSON
ma-198	466	1	1996),lecture	CARDINAL
ma-198	466	2	springer,	GPE
ma-198	466	3	berlin	GPE
ma-198	466	4	54	CARDINAL
ma-198	466	5	1997.[5	CARDINAL
ma-198	466	6	g. marino	PERSON
ma-198	466	7	xu	PERSON
ma-198	468	1	2006	DATE
ma-198	468	2	43-52.[6	CARDINAL
ma-198	468	3	a. moudafi	PERSON
ma-198	468	4	j. math	PERSON
ma-198	470	1	241	CARDINAL
ma-198	470	2	2000	DATE
ma-198	470	3	46-55.[7	CARDINAL
ma-198	470	4	m. sene	PERSON
ma-198	470	5	n. djitte	PERSON
ma-198	471	1	j. math	PERSON
ma-198	473	1	9 (2015	CARDINAL
ma-198	473	2	437	CARDINAL
ma-198	473	3	mendy, f. mendy	PERSON
ma-198	473	4	two	CARDINAL
ma-198	474	1	j. nonlinear anal	PERSON
ma-198	476	1	14	CARDINAL
ma-198	476	2	2023	CARDINAL
ma-198	476	3	217-225	CARDINAL
ma-198	477	1	f. mendy	PERSON
ma-198	477	2	j. t mendy	PERSON
ma-198	477	3	j. bah	PERSON
ma-198	477	4	g. mendy	PERSON
ma-198	477	5	hilbert spaces	ORG
ma-198	478	1	j. theor	PERSON
ma-198	480	1	9	CARDINAL
ma-198	480	2	2023	CARDINAL
ma-198	480	3	14-22	CARDINAL
ma-198	482	1	ijtam.20230902.12.[10] j.f	ORG
ma-198	482	2	nash	PERSON
ma-198	482	3	ann	PERSON
ma-198	483	1	second	ORDINAL
ma-198	484	1	54	DATE
ma-198	484	2	1951	DATE
ma-198	485	1	286-295.[11	CARDINAL
ma-198	485	2	nash	PERSON
ma-198	486	1	nat	PERSON
ma-198	487	1	acad	ORG
ma-198	488	1	sci. u.s.a. 36 (1950	ORG
ma-198	488	2	48-49.[12	CARDINAL
ma-198	488	3	f. mendy	PERSON
ma-198	488	4	j.t. mendy	PERSON
ma-198	489	1	j. math	PERSON
ma-198	491	1	3 (	CARDINAL
ma-198	491	2	2023	CARDINAL
ma-198	491	3	18	CARDINAL
ma-198	493	1	j. math	PERSON
ma-198	495	1	10.28924	CARDINAL
ma-198	495	2	21	CARDINAL
ma-198	495	3	13	CARDINAL
ma-198	495	4	2015(2015	CARDINAL
ma-198	495	5	147.[14	CARDINAL
ma-198	495	6	g.b. passty	PERSON
ma-198	495	7	ergodic convergence	ORG
ma-198	495	8	zero	CARDINAL
ma-198	495	9	hilbert spaces	ORG
ma-198	495	10	j. math	ORG
ma-198	497	1	1979	DATE
ma-198	497	2	383-390.[15	CARDINAL
ma-198	497	3	hicks	ORG
ma-198	497	4	j.d. kubicek	PERSON
ma-198	500	1	59	CARDINAL
ma-198	500	2	1977	DATE
ma-198	500	3	498-504.[16	CARDINAL
ma-198	500	4	r. t. rockafellar	PERSON
ma-198	500	5	j. control	PERSON
ma-198	501	1	14 (1976	DATE
ma-198	501	2	877	CARDINAL
ma-198	501	3	n. djitte	PERSON
ma-198	501	4	mendy	PERSON
ma-198	501	5	zeros	CARDINAL
ma-198	501	6	j. aust	PERSON
ma-198	503	1	108	CARDINAL
ma-198	503	2	2020	DATE
ma-198	503	3	278	CARDINAL
ma-198	503	4	mendy	PERSON
ma-198	503	5	m. sene	PERSON
ma-198	503	6	n. djitte	PERSON
ma-198	503	7	zeros	CARDINAL
ma-198	506	1	11	CARDINAL
ma-198	506	2	2017	CARDINAL
ma-198	507	1	551-570.[19	CARDINAL
ma-198	507	2	mendy, r. shukla	ORG
ma-198	507	3	zeros	CARDINAL
ma-198	508	1	khayyamj	PERSON
ma-198	510	1	8 (	CARDINAL
ma-198	510	2	2022	CARDINAL
ma-198	511	1	53-72.[20	CARDINAL
ma-198	511	2	p. tseng	PERSON
ma-198	511	3	j. control	PERSON
ma-198	512	1	38(2000	CARDINAL
ma-198	512	2	431	CARDINAL
ma-198	512	3	xu	PERSON
ma-198	512	4	j. optim	PERSON
ma-198	514	1	116	CARDINAL
ma-198	514	2	2003	DATE
ma-198	514	3	659-678.[22	CARDINAL
ma-198	514	4	y.b	NORP
ma-198	514	5	el yekheir	GPE
ma-198	514	6	j.t. mendy	PERSON
ma-198	514	7	n. djitte	PERSON
ma-198	515	1	j. math	PERSON
ma-198	517	1	14 (2020	DATE
ma-198	517	2	27-44.[23	QUANTITY
ma-198	517	3	mendy	PERSON
ma-198	517	4	mendy, a. jobe	PERSON
ma-198	517	5	mappingsin hilbert	PERSON
ma-198	518	1	j. math	PERSON
ma-198	520	1	1 (	CARDINAL
ma-198	520	2	2021	CARDINAL
ma-198	520	3	19-33.[24	CARDINAL
ma-198	520	4	xu	PERSON
ma-198	522	1	16 (1991	DATE
ma-198	522	2	1127-1138.[25	CARDINAL
ma-198	522	3	mendy	PERSON
ma-198	522	4	amer	PERSON
ma-198	523	1	j. math	PERSON
ma-198	525	1	8 (2020	DATE
ma-198	525	2	1-8.[26	CARDINAL
ma-198	525	3	hicks	ORG
ma-198	525	4	j.d. kubicek	PERSON
ma-198	528	1	59	CARDINAL
ma-198	528	2	1977	DATE
ma-198	528	3	498-504.[27	CARDINAL
ma-198	528	4	two	CARDINAL
ma-198	528	5	j. numer	PERSON
ma-198	530	1	16	CARDINAL
ma-198	530	2	1979),964-979.[28	CARDINAL
ma-198	532	1	1 (	CARDINAL
ma-198	532	2	2020),75-91.[29	CARDINAL
ma-198	532	3	notesin	PERSON
ma-198	532	4	berlin	GPE
ma-198	532	5	2009.[30	GPE
ma-198	532	6	browder	PERSON
ma-198	533	1	100	CARDINAL
ma-198	533	2	1967),201-225.[31	CARDINAL
ma-198	534	1	chen	PERSON
ma-198	534	2	r.t. rockafellar	PERSON
ma-198	534	3	j. optim	PERSON
ma-198	534	4	7 (1997	DATE
ma-198	534	5	421	CARDINAL
ma-198	534	6	lecturenotes	PERSON
ma-198	534	7	c.o.	GPE
ma-198	534	8	n. djitte	PERSON
ma-198	534	9	m.s. minjibir	ORG
ma-198	534	10	hilbert spaces	ORG
ma-198	537	1	2013	DATE
ma-198	537	2	2013	DATE
ma-198	537	3	629468	DATE
ma-198	538	1	1	CARDINAL
ma-198	538	2	2	CARDINAL
ma-198	538	3	3	CARDINAL
ma-198	538	4	4	CARDINAL