id	sid	eid	entity	type
ma-172	1	1	2023	CARDINAL
ma-172	2	1	j. math	PERSON
ma-172	4	1	3 (	CARDINAL
ma-172	4	2	2023	CARDINAL
ma-172	4	3	19doi	CARDINAL
ma-172	4	4	10.28924	CARDINAL
ma-172	4	5	seventh	ORDINAL
ma-172	4	6	ioannis k. argyros1,∗	PERSON
ma-172	4	7	jinny ann	PERSON
ma-172	5	1	john3	GPE
ma-172	5	2	jayakumar	PERSON
ma-172	5	3	jayaraman3 1department	ORG
ma-172	5	4	cameron university	ORG
ma-172	5	5	lawton, 73505	GPE
ma-172	5	6	ok, usa	ORG
ma-172	6	1	2department	TIME
ma-172	6	2	university of houston	ORG
ma-172	6	3	houston	GPE
ma-172	6	4	77204	DATE
ma-172	6	5	tx, usa sregmi5@uh.edu	ORG
ma-172	6	6	3department	CARDINAL
ma-172	6	7	puducherry technological university	ORG
ma-172	6	8	jjayakumar@ptuniv.edu.in ∗correspondence:	PERSON
ma-172	11	1	two	CARDINAL
ma-172	13	1	1	CARDINAL
ma-172	14	1	0	CARDINAL
ma-172	14	2	1	CARDINAL
ma-172	14	3	u → u	ORG
ma-172	14	4	normed linear spaceand	ORG
ma-172	16	1	newton	ORG
ma-172	17	1	non-linear	ORG
ma-172	17	2	1	CARDINAL
ma-172	17	3	2	DATE
ma-172	17	4	4–8	CARDINAL
ma-172	18	1	second	ORDINAL
ma-172	19	1	′′	ORG
ma-172	19	2	3	CARDINAL
ma-172	19	3	2023	CARDINAL
ma-172	22	1	j. math	PERSON
ma-172	24	1	10.28924	CARDINAL
ma-172	24	2	taylor	PERSON
ma-172	25	1	1	CARDINAL
ma-172	25	2	2	DATE
ma-172	25	3	4	DATE
ma-172	25	4	10–19	DATE
ma-172	25	5	21	DATE
ma-172	25	6	22	CARDINAL
ma-172	26	1	three	CARDINAL
ma-172	26	2	two	CARDINAL
ma-172	26	3	seventh	ORDINAL
ma-172	26	4	18	CARDINAL
ma-172	26	5	x0	ORG
ma-172	26	6	0	CARDINAL
ma-172	26	7	1	DATE
ma-172	26	8	2	CARDINAL
ma-172	29	1	sn	ORG
ma-172	31	1	un	ORG
ma-172	32	1	− bg(zn	PERSON
ma-172	34	1	un	ORG
ma-172	38	1	2	CARDINAL
ma-172	38	2	∈	ORG
ma-172	39	1	2	CARDINAL
ma-172	39	2	18	CARDINAL
ma-172	39	3	eighth	ORDINAL
ma-172	39	4	g. thesederivatives	PERSON
ma-172	39	5	2	CARDINAL
ma-172	40	1	seven	CARDINAL
ma-172	40	2	17 4	DATE
ma-172	40	3	19 4	DATE
ma-172	41	1	2	CARDINAL
ma-172	44	1	−1	CARDINAL
ma-172	44	2	2	CARDINAL
ma-172	44	3	g(t	NORP
ma-172	44	4	t4	PERSON
ma-172	46	1	5t6	CARDINAL
ma-172	47	1	g(ξ	PERSON
ma-172	48	1	g(4	PERSON
ma-172	48	2	18	CARDINAL
ma-172	48	3	1	CARDINAL
ma-172	50	1	2	CARDINAL
ma-172	56	1	1	CARDINAL
ma-172	56	2	2	DATE
ma-172	56	3	4,10–17,19,21,22	GPE
ma-172	57	1	2	CARDINAL
ma-172	57	2	2	CARDINAL
ma-172	57	3	section 3	DATE
ma-172	58	1	j. math	PERSON
ma-172	60	1	10.28924	CARDINAL
ma-172	61	1	34	CARDINAL
ma-172	63	1	section 6	LAW
ma-172	64	1	2	CARDINAL
ma-172	64	2	1	CARDINAL
ma-172	66	1	cnf	ORG
ma-172	66	2	∈	ORG
ma-172	67	1	0	CARDINAL
ma-172	68	1	− ξ‖	PERSON
ma-172	68	2	‖s − ξ‖	PERSON
ma-172	68	3	− ξ‖)and ‖s − ξ‖ ≤ δ2(‖x − ξ‖	PERSON
ma-172	69	1	1	CARDINAL
ma-172	71	1	0	CARDINAL
ma-172	72	1	c3	PERSON
ma-172	74	1	− ξ‖	PERSON
ma-172	74	2	‖s − ξ‖	PERSON
ma-172	74	3	− ξ‖	PERSON
ma-172	74	4	‖s − ξ‖	PERSON
ma-172	76	1	ξ‖	PERSON
ma-172	77	1	hi(t)− 1	DATE
ma-172	78	1	0	CARDINAL
ma-172	78	2	1	CARDINAL
ma-172	78	3	2	DATE
ma-172	78	4	3	CARDINAL
ma-172	78	5	ri ∈	PERSON
ma-172	79	1	ϕ(t	PERSON
ma-172	79	2	1−	CARDINAL
ma-172	79	3	δ2(t))h1(t	ORG
ma-172	79	4	1−	CARDINAL
ma-172	79	5	1−	TIME
ma-172	81	1	1|+	CARDINAL
ma-172	82	1	1−	CARDINAL
ma-172	83	1	1−	CARDINAL
ma-172	88	1	j. math	PERSON
ma-172	90	1	10.28924	CARDINAL
ma-172	92	1	0	CARDINAL
ma-172	93	1	1	CARDINAL
ma-172	93	2	0 ≤	MONEY
ma-172	93	3	0 ≤	QUANTITY
ma-172	94	1	1	CARDINAL
ma-172	94	2	x0	ORG
ma-172	94	3	c1)-(c2	NORP
ma-172	94	4	− ξ‖	PERSON
ma-172	94	5	− ξ‖) ≤ ϕ0(δ1(r	PERSON
ma-172	95	1	1	CARDINAL
ma-172	95	2	a−10 ∈ w	ORG
ma-172	95	3	3	CARDINAL
ma-172	95	4	9	DATE
ma-172	95	5	10	CARDINAL
ma-172	95	6	first	ORDINAL
ma-172	95	7	2	CARDINAL
ma-172	96	1	c5	ORG
ma-172	97	1	− ξ‖	PERSON
ma-172	97	2	− ξ‖	PERSON
ma-172	97	3	− ξ‖	PERSON
ma-172	98	1	ξ;g])(xn	CARDINAL
ma-172	98	2	− ξ‖	PERSON
ma-172	100	1	− ξ‖	PERSON
ma-172	100	2	− ξ‖ 1−	PERSON
ma-172	100	3	− ξ‖	PERSON
ma-172	100	4	− ξ‖	PERSON
ma-172	105	1	1)i +	DATE
ma-172	107	1	qn −	PERSON
ma-172	108	1	1)i +	DATE
ma-172	110	1	ξ;g])(zn − ξ)−	ORG
ma-172	112	1	j. math	PERSON
ma-172	114	1	10.28924	CARDINAL
ma-172	115	1	ξ‖	PERSON
ma-172	115	2	− ξ‖	PERSON
ma-172	115	3	− ξ‖	PERSON
ma-172	115	4	− ξ‖	PERSON
ma-172	115	5	1−	TIME
ma-172	115	6	− ξ‖	PERSON
ma-172	115	7	− ξ‖	PERSON
ma-172	116	1	‖tn‖ ≤	GPE
ma-172	118	1	1|+	CARDINAL
ma-172	119	1	+ 3d |ε2n	DATE
ma-172	119	2	− ξ‖	PERSON
ma-172	119	3	− ξ‖	PERSON
ma-172	119	4	1−	CARDINAL
ma-172	119	5	− ξ‖	PERSON
ma-172	121	1	1−	CARDINAL
ma-172	121	2	− ξ‖	PERSON
ma-172	122	1	zn	DATE
ma-172	122	2	− ξ‖	PERSON
ma-172	123	1	0	CARDINAL
ma-172	123	2	1	CARDINAL
ma-172	125	1	2	CARDINAL
ma-172	126	1	2.1	CARDINAL
ma-172	127	1	c1)-(c5	PRODUCT
ma-172	127	2	x0	ORG
ma-172	128	1	2.2	CARDINAL
ma-172	129	1	j = 1	PERSON
ma-172	129	2	2	DATE
ma-172	129	3	3	DATE
ma-172	129	4	4	CARDINAL
ma-172	129	5	2.1	CARDINAL
ma-172	130	1	first	ORDINAL
ma-172	132	1	+ af	PERSON
ma-172	137	1	− ξ‖)]‖x − ξ‖.	WORK_OF_ART
ma-172	141	1	‖i	DATE
ma-172	143	1	two	CARDINAL
ma-172	145	1	x0	ORG
ma-172	146	1	18	CARDINAL
ma-172	148	1	j. math	PERSON
ma-172	150	1	10.28924	CARDINAL
ma-172	150	2	63	CARDINAL
ma-172	151	1	convergence 2	PERSON
ma-172	151	2	x0	ORG
ma-172	153	1	‖s − x0‖ ≤ g2(‖x − x0‖	PERSON
ma-172	153	2	s;g]−p)‖ ≤ ψ0(‖w	ORG
ma-172	153	3	‖s − x0‖	PERSON
ma-172	154	1	1	CARDINAL
ma-172	155	1	0	CARDINAL
ma-172	156	1	0	DATE
ma-172	156	2	1.thus	CARDINAL
ma-172	156	3	first	ORDINAL
ma-172	158	1	∈	ORG
ma-172	158	2	x0‖	DATE
ma-172	158	3	x0‖	DATE
ma-172	159	1	g4(‖z	ORG
ma-172	159	2	x0‖	ORG
ma-172	159	3	ψ1(‖x	PERSON
ma-172	160	1	− x0‖	PERSON
ma-172	160	2	x0‖	DATE
ma-172	160	3	‖s −	PERSON
ma-172	163	1	g])‖ ≤ ψ2(‖w	ORG
ma-172	163	2	x0‖	MONEY
ma-172	163	3	‖s − x0‖	PERSON
ma-172	163	4	x0‖	ORDINAL
ma-172	163	5	− x0‖	PERSON
ma-172	164	1	0	CARDINAL
ma-172	164	2	g(x0)‖	ORG
ma-172	164	3	0	CARDINAL
ma-172	164	4	1	DATE
ma-172	164	5	2	CARDINAL
ma-172	165	1	1−	CARDINAL
ma-172	165	2	1−	CARDINAL
ma-172	168	1	1−	MONEY
ma-172	168	2	1 +	QUANTITY
ma-172	171	1	3	CARDINAL
ma-172	171	2	0	CARDINAL
ma-172	171	3	1	DATE
ma-172	171	4	2	CARDINAL
ma-172	173	1	3	CARDINAL
ma-172	173	2	0 ≤ αn ≤ βn ≤	QUANTITY
ma-172	174	1	0	CARDINAL
ma-172	175	1	j. math	PERSON
ma-172	177	1	10.28924	CARDINAL
ma-172	178	1	⊂	GPE
ma-172	180	1	− xn	PERSON
ma-172	180	2	yn	ORG
ma-172	183	1	− x0‖	PERSON
ma-172	183	2	−	GPE
ma-172	184	1	1−	LANGUAGE
ma-172	184	2	− x0‖	PERSON
ma-172	184	3	x0‖	DATE
ma-172	185	1	− x0‖ ≤	PERSON
ma-172	185	2	− x0‖	PERSON
ma-172	186	1	1−	TIME
ma-172	186	2	− x0‖	PERSON
ma-172	188	1	‖dn‖ ≤ ψ2(‖wn	PERSON
ma-172	188	2	− x0‖	PERSON
ma-172	188	3	− x0‖	PERSON
ma-172	188	4	− x0‖	ORG
ma-172	188	5	1−	TIME
ma-172	189	1	− x0‖	PERSON
ma-172	191	1	− xn	PERSON
ma-172	194	1	− x0‖	PERSON
ma-172	195	1	1 +	DATE
ma-172	195	2	1− ψ0(‖wn+1	PRODUCT
ma-172	195	3	x0‖	ORDINAL
ma-172	196	1	4	CARDINAL
ma-172	197	1	j. math	PERSON
ma-172	199	1	10.28924	CARDINAL
ma-172	201	1	x0‖	DATE
ma-172	203	1	4	CARDINAL
ma-172	204	1	2	CARDINAL
ma-172	205	1	3.1	CARDINAL
ma-172	206	1	∈	ORG
ma-172	207	1	0	CARDINAL
ma-172	207	2	3.2	CARDINAL
ma-172	208	1	j = 1	PERSON
ma-172	208	2	2	DATE
ma-172	208	3	3	DATE
ma-172	208	4	4	CARDINAL
ma-172	209	1	w − x0	PERSON
ma-172	211	1	− x0 +	PERSON
ma-172	213	1	x0;g]−p)](x − x0	PERSON
ma-172	213	2	+ ag(x0	PERSON
ma-172	214	1	cnf	ORG
ma-172	214	2	∈	ORG
ma-172	217	1	‖i	DATE
ma-172	219	1	x0	ORG
ma-172	220	1	10	CARDINAL
ma-172	221	1	4.	CARDINAL
ma-172	221	2	first	ORDINAL
ma-172	222	1	4.1	CARDINAL
ma-172	225	1	0	CARDINAL
ma-172	225	2	1.	CARDINAL
ma-172	226	1	5	CARDINAL
ma-172	227	1	j. math	PERSON
ma-172	229	1	10.28924	CARDINAL
ma-172	229	2	9	CARDINAL
ma-172	232	1	6=	CARDINAL
ma-172	235	1	5	CARDINAL
ma-172	235	2	‖p−1(v	PRODUCT
ma-172	237	1	1	CARDINAL
ma-172	238	1	v −1(0	PERSON
ma-172	239	1	0	CARDINAL
ma-172	239	2	4.2	CARDINAL
ma-172	240	1	∈	ORG
ma-172	242	1	0	CARDINAL
ma-172	242	2	1	CARDINAL
ma-172	243	1	6	CARDINAL
ma-172	245	1	0	CARDINAL
ma-172	250	1	6	CARDINAL
ma-172	252	1	x0‖	ORDINAL
ma-172	252	2	‖z∗	ORG
ma-172	253	1	1	CARDINAL
ma-172	253	2	4.3	CARDINAL
ma-172	254	1	4.2	CARDINAL
ma-172	255	1	5	CARDINAL
ma-172	255	2	5.1	CARDINAL
ma-172	257	1	1)w2 + 1	DATE
ma-172	257	2	1	CARDINAL
ma-172	260	1	g1	ORG
ma-172	261	1	1	CARDINAL
ma-172	262	1	0	CARDINAL
ma-172	262	2	0	DATE
ma-172	263	1	w3	PERSON
ma-172	263	2	g(w	ORG
ma-172	264	1	1	CARDINAL
ma-172	264	2	1 2	CARDINAL
ma-172	264	3	w3	GPE
ma-172	266	1	0	CARDINAL
ma-172	268	1	0	CARDINAL
ma-172	268	2	0 1 	DATE
ma-172	269	1	j. math	PERSON
ma-172	271	1	10.28924	CARDINAL
ma-172	271	2	10	CARDINAL
ma-172	272	1	1	CARDINAL
ma-172	273	1	1	CARDINAL
ma-172	275	1	1	CARDINAL
ma-172	275	2	c1)-(c5	PRODUCT
ma-172	275	3	2.2	CARDINAL
ma-172	275	4	2 + 1 2	DATE
ma-172	275	5	1 2	CARDINAL
ma-172	275	6	1)t2	ORDINAL
ma-172	275	7	1 2	CARDINAL
ma-172	275	8	1)(δ1(t1	CARDINAL
ma-172	276	1	2 + 1 2	DATE
ma-172	276	2	1)h2(t))h2(t)t	CARDINAL
ma-172	276	3	δ4(t	ORG
ma-172	276	4	1 2	CARDINAL
ma-172	276	5	t3	ORG
ma-172	276	6	1 2	CARDINAL
ma-172	277	1	t3	ORG
ma-172	277	2	t4	GPE
ma-172	277	3	1 2	CARDINAL
ma-172	277	4	1 2	CARDINAL
ma-172	277	5	1)t	CARDINAL
ma-172	278	1	0.426037	CARDINAL
ma-172	279	1	0	CARDINAL
ma-172	280	1	0.204146	CARDINAL
ma-172	280	2	0.134409	MONEY
ma-172	280	3	0.126891	CARDINAL
ma-172	281	1	0.126891	CARDINAL
ma-172	282	1	5.2	CARDINAL
ma-172	283	1	2	CARDINAL
ma-172	283	2	2×2	CARDINAL
ma-172	283	3	t̃	ORG
ma-172	283	4	t3	ORG
ma-172	283	5	t4	ORG
ma-172	283	6	g1	ORG
ma-172	283	7	t̄	GPE
ma-172	283	8	1	CARDINAL
ma-172	284	1	t4	GPE
ma-172	284	2	t̄	GPE
ma-172	284	3	2	CARDINAL
ma-172	285	1	t4 − t2	PERSON
ma-172	285	2	t4 6=	ORG
ma-172	288	1	5.3	CARDINAL
ma-172	289	1	3t21	CARDINAL
ma-172	289	2	1|	CARDINAL
ma-172	291	1	3 2	CARDINAL
ma-172	291	2	1	CARDINAL
ma-172	291	3	0	CARDINAL
ma-172	292	1	j. math	PERSON
ma-172	294	1	10.28924	CARDINAL
ma-172	294	2	11	CARDINAL
ma-172	294	3	g1	ORG
ma-172	294	4	3t21	CARDINAL
ma-172	294	5	1|	CARDINAL
ma-172	295	1	3 2	CARDINAL
ma-172	295	2	1 + |t2|	DATE
ma-172	295	3	5	CARDINAL
ma-172	295	4	5	DATE
ma-172	295	5	1	CARDINAL
ma-172	296	1	2	CARDINAL
ma-172	296	2	2	CARDINAL
ma-172	296	3	three	CARDINAL
ma-172	296	4	0.894655074977661	CARDINAL
ma-172	296	5	x∗2	DATE
ma-172	296	6	0.327826643198819	CARDINAL
ma-172	297	1	5.4	CARDINAL
ma-172	298	1	25	CARDINAL
ma-172	298	2	6	CARDINAL
ma-172	299	1	0	CARDINAL
ma-172	299	2	1 ≤	QUANTITY
ma-172	299	3	1.5	CARDINAL
ma-172	299	4	1.5	CARDINAL
ma-172	302	1	2	CARDINAL
ma-172	302	2	0.04003162719010837	CARDINAL
ma-172	302	3	0.04003162719010837	ORG
ma-172	304	1	0.04003162719010837	ORG
ma-172	304	2	4	CARDINAL
ma-172	305	1	6	CARDINAL
ma-172	307	1	thisprocedure	ORG
ma-172	309	1	1	CARDINAL
ma-172	309	2	2	DATE
ma-172	309	3	4	DATE
ma-172	309	4	10–17,19,21,22	CARDINAL
ma-172	310	1	1	CARDINAL
ma-172	310	2	a. cordero	PERSON
ma-172	310	3	j. l. hueso	PERSON
ma-172	310	4	e. martínez	PERSON
ma-172	310	5	j. r. torregrosa	PERSON
ma-172	310	6	newton-jarratt’s	ORG
ma-172	310	7	numer	ORG
ma-172	311	1	algorithms55	ORG
ma-172	311	2	2010	DATE
ma-172	311	3	87	CARDINAL
ma-172	311	4	a. m. ostrowski	PERSON
ma-172	311	5	1960	DATE
ma-172	311	6	f. a. potra	PERSON
ma-172	311	7	v. ptak	PERSON
ma-172	311	8	nondiscrete	GPE
ma-172	312	1	pitman publishing	ORG
ma-172	312	2	1984	DATE
ma-172	312	3	h. ren	PERSON
ma-172	312	4	q. wu	PERSON
ma-172	312	5	w. bi	PERSON
ma-172	312	6	two	CARDINAL
ma-172	312	7	fourth	ORDINAL
ma-172	314	1	209	CARDINAL
ma-172	314	2	2009	DATE
ma-172	315	1	206–210	CARDINAL
ma-172	317	1	i. k. argyros	PERSON
ma-172	317	2	j. a. john	PERSON
ma-172	317	3	j. jayaraman	PERSON
ma-172	317	4	sixth	ORDINAL
ma-172	319	1	approx	PERSON
ma-172	320	1	51	CARDINAL
ma-172	320	2	2022	CARDINAL
ma-172	320	3	144–154	CARDINAL
ma-172	321	1	i. k. argyros	PERSON
ma-172	321	2	j. a. john	PERSON
ma-172	321	3	j. jayaraman	PERSON
ma-172	321	4	s. regmi	PERSON
ma-172	321	5	asian	NORP
ma-172	322	1	j. math	PERSON
ma-172	323	1	18	CARDINAL
ma-172	323	2	2022	CARDINAL
ma-172	324	1	102–109	CARDINAL
ma-172	326	1	https://doi.org/10.1007/s11075-009-9359-z https://doi.org/10.1016/j.amc.2008.12.039	PERSON
ma-172	327	1	j. math	PERSON
ma-172	329	1	10.28924	CARDINAL
ma-172	329	2	12	CARDINAL
ma-172	330	1	7	CARDINAL
ma-172	330	2	i. k. argyros	PERSON
ma-172	330	3	s. regmi	PERSON
ma-172	330	4	j. a. john	PERSON
ma-172	330	5	j. jayaraman	PERSON
ma-172	330	6	two sixth	CARDINAL
ma-172	330	7	3	CARDINAL
ma-172	330	8	2023	CARDINAL
ma-172	330	9	127–139	CARDINAL
ma-172	331	1	j. a. john	PERSON
ma-172	331	2	j. jayaraman	PERSON
ma-172	331	3	i. k.	PERSON
ma-172	332	1	four	CARDINAL
ma-172	333	1	j. appl	PERSON
ma-172	336	1	8 (	CARDINAL
ma-172	336	2	2022	CARDINAL
ma-172	336	3	194	CARDINAL
ma-172	337	1	j. f. steffensen	PERSON
ma-172	337	2	scand	ORG
ma-172	338	1	j. 16 (	PERSON
ma-172	340	1	j. f. traub	PERSON
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ma-172	340	5	j. m ortega	PERSON
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ma-172	341	1	j. r. sharma	PERSON
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ma-172	355	1	235	CARDINAL
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ma-172	355	3	1739-1743	DATE
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ma-172	365	5	140–153	CARDINAL
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ma-172	366	6	429–444	CARDINAL
ma-172	367	1	https://doi.org/10.1007/s11075-012-9597-3.[22]	PERSON
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ma-172	369	2	2010) 1978-1983	DATE
ma-172	370	1	https://doi.org/10.1016/j.amc.2010.03.028	ORG
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ma-172	373	4	3	CARDINAL
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ma-172	373	7	6	CARDINAL