id	sid	eid	entity	type
ma-173	1	1	2023	CARDINAL
ma-173	2	1	j. math	PERSON
ma-173	4	1	3 (	CARDINAL
ma-173	4	2	2023	CARDINAL
ma-173	4	3	26doi	CARDINAL
ma-173	4	4	10.28924	CARDINAL
ma-173	4	5	two	CARDINAL
ma-173	4	6	ioannis k. argyros1,∗	PERSON
ma-173	4	7	joshi2	GPE
ma-173	4	8	regmi3 1department	FAC
ma-173	4	9	cameron university	ORG
ma-173	4	10	lawton	GPE
ma-173	5	1	2department	TIME
ma-173	5	2	dallas community college	ORG
ma-173	5	3	dallas	GPE
ma-173	5	4	tx, usa	ORG
ma-173	6	1	3department	CARDINAL
ma-173	6	2	university of houston	ORG
ma-173	6	3	houston	GPE
ma-173	6	4	77024	DATE
ma-173	6	5	tx, usa sregmi5@uh.edu ∗correspondence:	ORG
ma-173	8	1	two	CARDINAL
ma-173	15	1	1	CARDINAL
ma-173	16	1	0	CARDINAL
ma-173	17	1	1.1	CARDINAL
ma-173	17	2	⊂	GPE
ma-173	17	3	1.1	CARDINAL
ma-173	19	1	1–16	CARDINAL
ma-173	20	1	4	CARDINAL
ma-173	20	2	2023	CARDINAL
ma-173	22	1	two	CARDINAL
ma-173	23	1	j. math	PERSON
ma-173	25	1	10.28924	CARDINAL
ma-173	25	2	2equations	CARDINAL
ma-173	26	1	two	CARDINAL
ma-173	26	2	x0	ORG
ma-173	26	3	0	CARDINAL
ma-173	26	4	1	DATE
ma-173	26	5	2	CARDINAL
ma-173	27	1	1.2	CARDINAL
ma-173	28	1	1	CARDINAL
ma-173	29	1	a(x	PERSON
ma-173	33	1	6–8	CARDINAL
ma-173	34	1	1.2	CARDINAL
ma-173	37	1	1.3	CARDINAL
ma-173	37	2	2	CARDINAL
ma-173	37	3	12,13])set	CARDINAL
ma-173	38	1	2x	CARDINAL
ma-173	39	1	1.2	CARDINAL
ma-173	41	1	2xn	ORDINAL
ma-173	41	2	xn−1	GPE
ma-173	42	1	1.4	CARDINAL
ma-173	42	2	3	CARDINAL
ma-173	43	1	2	CARDINAL
ma-173	43	2	8	DATE
ma-173	45	1	1.2	CARDINAL
ma-173	48	1	1.5	CARDINAL
ma-173	48	2	4	CARDINAL
ma-173	49	1	1	CARDINAL
ma-173	49	2	3	DATE
ma-173	50	1	5	CARDINAL
ma-173	50	2	newton	ORG
ma-173	51	1	1–3,5	CARDINAL
ma-173	51	2	6	DATE
ma-173	51	3	9	DATE
ma-173	51	4	15,16])set	CARDINAL
ma-173	53	1	5	CARDINAL
ma-173	54	1	4.2	CARDINAL
ma-173	55	1	x0	PERSON
ma-173	56	1	first	ORDINAL
ma-173	57	1	1.2	CARDINAL
ma-173	57	2	w	ORG
ma-173	59	1	j. math	PERSON
ma-173	61	1	10.28924	CARDINAL
ma-173	62	1	1.2	CARDINAL
ma-173	62	2	section 2	LAW
ma-173	62	3	section 3	LAW
ma-173	63	1	section 4	DATE
ma-173	64	1	section 5	DATE
ma-173	64	2	2	CARDINAL
ma-173	64	3	convergence	PERSON
ma-173	65	1	1.2	CARDINAL
ma-173	67	1	0,∞	TIME
ma-173	68	1	w0(t	GPE
ma-173	71	1	0	CARDINAL
ma-173	72	1	u(x∗	PERSON
ma-173	73	1	cnf w	ORG
ma-173	73	2	0	CARDINAL
ma-173	73	3	∈	ORG
ma-173	73	4	0	CARDINAL
ma-173	73	5	1−	CARDINAL
ma-173	75	1	0	CARDINAL
ma-173	76	1	w0(t	GPE
ma-173	76	2	1 (	CARDINAL
ma-173	76	3	2.6)and	ORDINAL
ma-173	76	4	1 (2.7)from	CARDINAL
ma-173	77	1	∗	CARDINAL
ma-173	78	1	w0	ORG
ma-173	78	2	w	ORG
ma-173	78	3	1.2	CARDINAL
ma-173	79	1	y)− p	PERSON
ma-173	79	2	− x∗‖	PERSON
ma-173	79	3	− x∗‖	PERSON
ma-173	81	1	− x∗‖	PERSON
ma-173	84	1	∈	ORG
ma-173	84	2	u[x ∗	CARDINAL
ma-173	84	3	⊂	GPE
ma-173	84	4	1.2	CARDINAL
ma-173	85	1	2.1	CARDINAL
ma-173	86	1	a1)−(a4	ORG
ma-173	87	1	x−1	PERSON
ma-173	87	2	x0 ∈	ORG
ma-173	87	3	u(x∗	PERSON
ma-173	87	4	1.2	CARDINAL
ma-173	87	5	u(x∗	PERSON
ma-173	87	6	0	CARDINAL
ma-173	87	7	1	DATE
ma-173	87	8	2	DATE
ma-173	87	9	3	DATE
ma-173	90	1	‖xn −	PERSON
ma-173	91	1	2.8	CARDINAL
ma-173	92	1	j. math	PERSON
ma-173	94	1	10.28924	CARDINAL
ma-173	96	1	x−1	GPE
ma-173	96	2	x0	ORG
ma-173	96	3	‖p−1(a(x0	TIME
ma-173	96	4	− x∗‖	PERSON
ma-173	96	5	‖x−1 − x∗‖	PERSON
ma-173	96	6	1	CARDINAL
ma-173	96	7	2.9	CARDINAL
ma-173	96	8	2.9	CARDINAL
ma-173	97	1	1–3	CARDINAL
ma-173	97	2	8	CARDINAL
ma-173	97	3	9	CARDINAL
ma-173	97	4	‖a(x0	PRODUCT
ma-173	98	1	− x∗‖	PERSON
ma-173	98	2	‖x−1 − x∗‖	PERSON
ma-173	99	1	2.10	CARDINAL
ma-173	99	2	first	ORDINAL
ma-173	99	3	1.2	CARDINAL
ma-173	102	1	x0	ORG
ma-173	102	2	− x−1)(a(x0	PERSON
ma-173	103	1	x0	ORG
ma-173	103	2	2.11	CARDINAL
ma-173	103	3	2.7	CARDINAL
ma-173	103	4	2.10	CARDINAL
ma-173	103	5	2.11	CARDINAL
ma-173	103	6	− x∗‖ =	PERSON
ma-173	103	7	− x∗‖	PERSON
ma-173	103	8	‖x−1 − x∗‖)‖x0	PERSON
ma-173	103	9	− x∗‖ 1−	PERSON
ma-173	103	10	− x∗‖	PERSON
ma-173	103	11	‖x−1 − x∗‖	PERSON
ma-173	103	12	− x∗‖)‖x0 − x∗‖ ≤ ‖x0 − x∗‖	PERSON
ma-173	103	13	2.8	CARDINAL
ma-173	103	14	x−1	PERSON
ma-173	103	15	x0	ORG
ma-173	103	16	xm−1	ORG
ma-173	103	17	xm	ORG
ma-173	103	18	xm+1	PERSON
ma-173	103	19	2.8	CARDINAL
ma-173	104	1	− x∗‖ ≤	PERSON
ma-173	106	1	2.13)where	CARDINAL
ma-173	106	2	− x∗‖	PERSON
ma-173	107	1	0	CARDINAL
ma-173	107	2	1	CARDINAL
ma-173	109	1	xm+1 ∈	PERSON
ma-173	109	2	u(x∗	PERSON
ma-173	111	1	2.2	CARDINAL
ma-173	112	1	∈	ORG
ma-173	113	1	1	CARDINAL
ma-173	113	2	2.14	CARDINAL
ma-173	115	1	0	CARDINAL
ma-173	121	1	− x∗‖	PERSON
ma-173	121	2	w0(0	ORG
ma-173	121	3	1	CARDINAL
ma-173	122	1	e−1 ∈ l(b	ORG
ma-173	126	1	0	CARDINAL
ma-173	128	1	j. math	PERSON
ma-173	130	1	10.28924	CARDINAL
ma-173	130	2	5hence	CARDINAL
ma-173	130	3	convergence ii	PERSON
ma-173	130	4	3.1	CARDINAL
ma-173	130	5	1.2	CARDINAL
ma-173	131	1	δ.let	ORG
ma-173	132	1	0	CARDINAL
ma-173	137	1	1	CARDINAL
ma-173	137	2	γ∗	ORG
ma-173	137	3	p−1 ∈ l(b	ORG
ma-173	137	4	y)− p	PERSON
ma-173	139	1	x−1	PERSON
ma-173	140	1	x0‖ ≤ α	DATE
ma-173	140	2	x0‖	MONEY
ma-173	140	3	− x0‖	PERSON
ma-173	140	4	v0(α	ORG
ma-173	140	5	0	CARDINAL
ma-173	140	6	1	CARDINAL
ma-173	141	1	x−1)−1f	GPE
ma-173	143	1	γ	GPE
ma-173	144	1	γ∗	ORG
ma-173	144	2	⊂	GPE
ma-173	144	3	1.2	CARDINAL
ma-173	145	1	3.1	CARDINAL
ma-173	147	1	1.2	CARDINAL
ma-173	147	2	0	CARDINAL
ma-173	147	3	1	DATE
ma-173	147	4	2	CARDINAL
ma-173	149	1	∈	ORG
ma-173	149	2	0	CARDINAL
ma-173	151	1	3.15	CARDINAL
ma-173	152	1	j. math	PERSON
ma-173	154	1	10.28924	CARDINAL
ma-173	154	2	γ∗	ORG
ma-173	154	3	3.16	CARDINAL
ma-173	156	1	3.15	CARDINAL
ma-173	156	2	− x0‖	PERSON
ma-173	156	3	‖a(x0	CARDINAL
ma-173	156	4	x−1)−1f	GPE
ma-173	157	1	γ∗	ORG
ma-173	159	1	xn−1 ∈	PERSON
ma-173	160	1	inturn	PERSON
ma-173	160	2	‖p−1(a(xn	PERSON
ma-173	162	1	‖xn−1 − x0‖	PERSON
ma-173	163	1	‖xn−1 − x0‖	PERSON
ma-173	164	1	3.17	CARDINAL
ma-173	164	2	1.2	CARDINAL
ma-173	164	3	3.17	CARDINAL
ma-173	165	1	1.2	CARDINAL
ma-173	165	2	xn+1)−	PRODUCT
ma-173	167	1	3.18	CARDINAL
ma-173	167	2	3.18	CARDINAL
ma-173	168	1	3.19	CARDINAL
ma-173	168	2	1.2	CARDINAL
ma-173	168	3	n + 1	PRODUCT
ma-173	169	1	− γn−1	PERSON
ma-173	169	2	1−	CARDINAL
ma-173	170	1	x0‖	ORG
ma-173	170	2	− x0‖	PERSON
ma-173	171	1	1−	TIME
ma-173	173	1	x0‖	DATE
ma-173	175	1	γ∗	ORG
ma-173	176	1	3.15	CARDINAL
ma-173	178	1	∈	ORG
ma-173	178	2	γ∗	ORG
ma-173	180	1	https://doi.org/10.28924/ada/ma.3.26 eur	DATE
ma-173	181	1	j. math	PERSON
ma-173	183	1	10.28924	CARDINAL
ma-173	183	2	n → +∞	ORG
ma-173	183	3	3.19	CARDINAL
ma-173	184	1	0	CARDINAL
ma-173	186	1	3.20	CARDINAL
ma-173	186	2	3.16	CARDINAL
ma-173	187	1	3.20	CARDINAL
ma-173	189	1	3.2	CARDINAL
ma-173	190	1	0	CARDINAL
ma-173	190	2	∗	CARDINAL
ma-173	192	1	1	CARDINAL
ma-173	192	2	3.21	CARDINAL
ma-173	194	1	0	CARDINAL
ma-173	194	2	d4	ORG
ma-173	196	1	2.2	CARDINAL
ma-173	196	2	∈	ORG
ma-173	197	1	z1;f	PERSON
ma-173	197	2	h4	ORG
ma-173	197	3	3.21	CARDINAL
ma-173	198	1	z0‖	MONEY
ma-173	198	2	1	CARDINAL
ma-173	199	1	3.3	CARDINAL
ma-173	203	1	x−1	PERSON
ma-173	203	2	x0;f	PERSON
ma-173	204	1	section 4	LAW
ma-173	204	2	γ∗	ORG
ma-173	204	3	3.2	CARDINAL
ma-173	205	1	γ∗	ORG
ma-173	206	1	4	CARDINAL
ma-173	206	2	4.1	CARDINAL
ma-173	207	1	1	CARDINAL
ma-173	207	2	0	CARDINAL
ma-173	207	3	0	DATE
ma-173	211	1	j. math	PERSON
ma-173	213	1	10.28924	CARDINAL
ma-173	215	1	1)y3 + 1 	DATE
ma-173	218	1	1	CARDINAL
ma-173	218	2	1 2	CARDINAL
ma-173	218	3	1)(s1	CARDINAL
ma-173	218	4	1 2	CARDINAL
ma-173	218	5	1)s1	CARDINAL
ma-173	218	6	⊂	GPE
ma-173	218	7	2	CARDINAL
ma-173	218	8	1 2	CARDINAL
ma-173	218	9	1)(s1	CARDINAL
ma-173	218	10	1 2	CARDINAL
ma-173	218	11	1)(2s1 + s2	DATE
ma-173	218	12	3r	CARDINAL
ma-173	219	1	3	CARDINAL
ma-173	219	2	1 2	CARDINAL
ma-173	219	3	1)(s1	CARDINAL
ma-173	219	4	1 2	CARDINAL
ma-173	219	5	1)(s1 + 2s2	DATE
ma-173	219	6	⊂	GPE
ma-173	222	1	2 +	DATE
ma-173	222	2	1	CARDINAL
ma-173	223	1	4	CARDINAL
ma-173	223	2	0	CARDINAL
ma-173	223	3	1 2	CARDINAL
ma-173	223	4	1)s1	CARDINAL
ma-173	223	5	⊂	GPE
ma-173	223	6	5	CARDINAL
ma-173	223	7	1 2	CARDINAL
ma-173	223	8	1)(s1	CARDINAL
ma-173	223	9	1 2	CARDINAL
ma-173	223	10	1)s1	CARDINAL
ma-173	223	11	3r	CARDINAL
ma-173	225	1	5	CARDINAL
ma-173	225	2	1 2(e	CARDINAL
ma-173	225	3	1)t	ORDINAL
ma-173	225	4	1)t	CARDINAL
ma-173	225	5	0	CARDINAL
ma-173	225	6	2 3(e	CARDINAL
ma-173	225	7	1	CARDINAL
ma-173	225	8	1.2	CARDINAL
ma-173	225	9	4.2	CARDINAL
ma-173	226	1	two	CARDINAL
ma-173	226	2	two	CARDINAL
ma-173	226	3	3s21	CARDINAL
ma-173	226	4	2 2	CARDINAL
ma-173	226	5	1|	CARDINAL
ma-173	226	6	0	CARDINAL
ma-173	226	7	1 +	DATE
ma-173	226	8	0	CARDINAL
ma-173	228	1	j. math	PERSON
ma-173	230	1	10.28924	CARDINAL
ma-173	231	1	3s	CARDINAL
ma-173	231	2	2 1	CARDINAL
ma-173	232	1	4 1 + s1s 3	DATE
ma-173	232	2	1 + |s2|	DATE
ma-173	234	1	0	CARDINAL
ma-173	236	1	∗	CARDINAL
ma-173	236	2	2	CARDINAL
ma-173	237	1	s̃	GPE
ma-173	238	1	s̃	GPE
ma-173	238	2	1	CARDINAL
ma-173	238	3	6=	CARDINAL
ma-173	238	4	1	CARDINAL
ma-173	238	5	2	CARDINAL
ma-173	238	6	∗	CARDINAL
ma-173	240	1	5	CARDINAL
ma-173	240	2	5	DATE
ma-173	240	3	1	CARDINAL
ma-173	240	4	1.2	CARDINAL
ma-173	241	1	2	CARDINAL
ma-173	241	2	3.453e-02	MONEY
ma-173	241	3	6	CARDINAL
ma-173	241	4	0.894655373334687	CARDINAL
ma-173	241	5	0.327826421746298	CARDINAL
ma-173	242	1	4.3	CARDINAL
ma-173	243	1	two	CARDINAL
ma-173	246	1	1	CARDINAL
ma-173	248	1	− x∗‖	PERSON
ma-173	248	2	∈	ORG
ma-173	248	3	d.	NORP
ma-173	249	1	1	CARDINAL
ma-173	250	1	j. math	PERSON
ma-173	252	1	10.28924	CARDINAL
ma-173	252	2	1	CARDINAL
ma-173	253	1	0	CARDINAL
ma-173	254	1	1	CARDINAL
ma-173	254	2	0	CARDINAL
ma-173	254	3	2	CARDINAL
ma-173	255	1	newton	GPE
ma-173	258	1	a4)′	ORG
ma-173	258	2	− x∗‖ ≤	PERSON
ma-173	260	1	2)‖xn	CARDINAL
ma-173	260	2	1− |1−	TIME
ma-173	261	1	− 1bex	EVENT
ma-173	264	1	2	CARDINAL
ma-173	269	1	y k k	PERSON
ma-173	271	1	1	CARDINAL
ma-173	271	2	2	CARDINAL
ma-173	272	1	y k−1 k!	PERSON
ma-173	274	1	1−	ORDINAL
ma-173	274	2	− x∗‖,where	PERSON
ma-173	274	3	1 + 1−	DATE
ma-173	274	4	2	CARDINAL
ma-173	275	1	1− θ)n−1 n	PRODUCT
ma-173	278	1	1 0	DATE
ma-173	278	2	1− θ)ndθ	QUANTITY
ma-173	279	1	1 0	DATE
ma-173	279	2	1−	WORK_OF_ART
ma-173	279	3	1 0	DATE
ma-173	279	4	1− θ)dθt +	ORG
ma-173	279	5	1	CARDINAL
ma-173	279	6	1−	CARDINAL
ma-173	279	7	2	CARDINAL
ma-173	280	1	dθt2	GPE
ma-173	281	1	1 0	DATE
ma-173	281	2	1− θ)n n	EVENT
ma-173	282	1	dθtn−1	GPE
ma-173	284	1	1 2	CARDINAL
ma-173	284	2	2 + ·	DATE
ma-173	285	1	+ 1	DATE
ma-173	286	1	tn−1	PERSON
ma-173	288	1	2	CARDINAL
ma-173	289	1	1− |1−	TIME
ma-173	289	2	2	CARDINAL
ma-173	291	1	11	CARDINAL
ma-173	291	2	15	CARDINAL
ma-173	295	1	j. math	PERSON
ma-173	297	1	10.28924	CARDINAL
ma-173	297	2	11for	CARDINAL
ma-173	299	1	− x∗‖ ≤	PERSON
ma-173	301	1	2(1−	CARDINAL
ma-173	301	2	− x∗‖	PERSON
ma-173	301	3	rtr	PERSON
ma-173	301	4	2 3l	CARDINAL
ma-173	302	1	rtr	PERSON
ma-173	302	2	3 2e	CARDINAL
ma-173	302	3	1	CARDINAL
ma-173	305	1	5	CARDINAL
ma-173	305	2	1.2	CARDINAL
ma-173	306	1	x0	ORG
ma-173	307	1	1–16	CARDINAL
ma-173	309	1	1	CARDINAL
ma-173	309	2	2021	CARDINAL
ma-173	309	3	1942.[2	CARDINAL
ma-173	309	4	2nd	ORDINAL
ma-173	310	1	crc	PERSON
ma-173	310	2	taylor andfrancis group	PERSON
ma-173	310	3	boca raton	GPE
ma-173	310	4	florida	GPE
ma-173	310	5	usa	GPE
ma-173	310	6	2022.[3	CARDINAL
ma-173	310	7	newton	GPE
ma-173	310	8	new york	GPE
ma-173	310	9	2008.[4	CARDINAL
ma-173	310	10	m. grau-sanchez	PERSON
ma-173	310	11	m.a. hernandez	PERSON
ma-173	310	12	m. nouguera	PERSON
ma-173	310	13	j. math	PERSON
ma-173	312	1	398	CARDINAL
ma-173	312	2	2013)	DATE
ma-173	313	1	110–112.[5	CARDINAL
ma-173	313	2	s. george	PERSON
ma-173	313	3	k. kanagaraj	PERSON
ma-173	313	4	hilbert	ORG
ma-173	315	1	19 (2019	CARDINAL
ma-173	316	1	765–778.[6	CARDINAL
ma-173	316	2	l.v. kantorovich	ORG
ma-173	316	3	g.p. akilov	PERSON
ma-173	316	4	oxford	NORP
ma-173	316	5	1982.[7	CARDINAL
ma-173	318	1	248	CARDINAL
ma-173	318	2	2014	DATE
ma-173	318	3	j.m. ortega	PERSON
ma-173	318	4	w.c.	PERSON
ma-173	318	5	rheinboldt	GPE
ma-173	318	6	new-york	GPE
ma-173	318	7	1970.[9	CARDINAL
ma-173	318	8	g. heindl	PERSON
ma-173	318	9	affine invariant convergence theorems	ORG
ma-173	318	10	newton	ORG
ma-173	318	11	j. numer	PERSON
ma-173	320	1	16 (1979	DATE
ma-173	320	2	1–10.[10	CARDINAL
ma-173	320	3	d.f. nguen	GPE
ma-173	320	4	newton-kantorovich	ORG
ma-173	320	5	numer	ORG
ma-173	321	1	funct	PERSON
ma-173	323	1	optim	PERSON
ma-173	324	1	9 (	CARDINAL
ma-173	324	2	1987	DATE
ma-173	325	1	671–684[11	CARDINAL
ma-173	325	2	rheinboldt	GPE
ma-173	326	1	129–142.[12	CARDINAL
ma-173	326	2	two	CARDINAL
ma-173	327	1	j. comp	PERSON
ma-173	329	1	261	CARDINAL
ma-173	329	2	2014	DATE
ma-173	330	1	378–386	CARDINAL
ma-173	332	1	j. math	PERSON
ma-173	334	1	10.28924	CARDINAL
ma-173	334	2	12	CARDINAL
ma-173	335	1	13	CARDINAL
ma-173	336	1	comp	ORG
ma-173	338	1	231	CARDINAL
ma-173	338	2	2009	DATE
ma-173	338	3	h. arora	PERSON
ma-173	338	4	seventh	ORDINAL
ma-173	338	5	algor	PERSON
ma-173	339	1	67	CARDINAL
ma-173	339	2	2014	DATE
ma-173	339	3	917–933.[15	CARDINAL
ma-173	339	4	prentice-hall	ORG
ma-173	339	5	englewood cliffs	GPE
ma-173	339	6	1964).[16	CARDINAL
ma-173	339	7	t. yamamoto	PERSON
ma-173	339	8	newton	GPE
ma-173	339	9	numer	ORG
ma-173	340	1	51	CARDINAL
ma-173	340	2	1987	DATE
ma-173	341	1	545–557	CARDINAL
ma-173	342	1	1	CARDINAL
ma-173	342	2	2	CARDINAL
ma-173	343	1	convergence	PERSON
ma-173	343	2	3	CARDINAL
ma-173	343	3	convergence ii	PERSON
ma-173	343	4	4	CARDINAL
ma-173	343	5	5	CARDINAL