id	sid	eid	entity	type
ma-53	1	1	2022	CARDINAL
ma-53	2	1	j. math	PERSON
ma-53	3	1	2 (	CARDINAL
ma-53	3	2	2022	CARDINAL
ma-53	4	1	10.28924	CARDINAL
ma-53	4	2	ioannis k. argyros1,∗	PERSON
ma-53	4	3	santhosh george2	PERSON
ma-53	4	4	christopher i.	PERSON
ma-53	5	1	cameron university	ORG
ma-53	5	2	lawton	GPE
ma-53	5	3	2	CARDINAL
ma-53	5	4	national institute of technology karnataka	ORG
ma-53	5	5	025	CARDINAL
ma-53	5	6	cameron university	ORG
ma-53	5	7	lawton	GPE
ma-53	12	1	1	CARDINAL
ma-53	12	2	0	CARDINAL
ma-53	12	3	1.1	CARDINAL
ma-53	12	4	ω ⊂	ORG
ma-53	13	1	ω 6=	DATE
ma-53	14	1	x0 ∈ ω	ORG
ma-53	14	2	0	CARDINAL
ma-53	14	3	1	DATE
ma-53	14	4	2	CARDINAL
ma-53	22	1	1.2	CARDINAL
ma-53	22	2	7 nov 2021	DATE
ma-53	24	1	convergence criterion.1 https://adac.ee	ORG
ma-53	25	1	j. math	PERSON
ma-53	27	1	10.28924	CARDINAL
ma-53	29	1	four	CARDINAL
ma-53	29	2	ω	ORDINAL
ma-53	29	3	x0	ORG
ma-53	29	4	taylor	PERSON
ma-53	29	5	17	CARDINAL
ma-53	29	6	25	CARDINAL
ma-53	30	1	ω	CARDINAL
ma-53	31	1	1.5	CARDINAL
ma-53	32	1	t3	ORG
ma-53	32	2	t2 + t5 −	ORG
ma-53	35	1	0	CARDINAL
ma-53	36	1	1	CARDINAL
ma-53	36	2	6	CARDINAL
ma-53	37	1	24	CARDINAL
ma-53	38	1	λ′′′(t	PERSON
ma-53	38	2	ω	CARDINAL
ma-53	39	1	1.2	CARDINAL
ma-53	39	2	17,24].we	CARDINAL
ma-53	39	3	two	CARDINAL
ma-53	40	1	first	ORDINAL
ma-53	41	1	second	ORDINAL
ma-53	41	2	x0	ORG
ma-53	42	1	10,15,16,22,28,38	CARDINAL
ma-53	46	1	three	CARDINAL
ma-53	46	2	8	CARDINAL
ma-53	46	3	17	DATE
ma-53	46	4	19	DATE
ma-53	47	1	1	CARDINAL
ma-53	47	2	ω	CARDINAL
ma-53	48	1	ω thelipschitz-	FAC
ma-53	50	1	fourth	ORDINAL
ma-53	51	1	second	ORDINAL
ma-53	51	2	f. notice	PERSON
ma-53	51	3	first	ORDINAL
ma-53	51	4	second	ORDINAL
ma-53	52	1	section 2	LAW
ma-53	52	2	second	ORDINAL
ma-53	53	1	section 3	DATE
ma-53	54	1	section 4	DATE
ma-53	56	1	2	CARDINAL
ma-53	57	1	η	GPE
ma-53	57	2	k0	ORG
ma-53	57	3	0	CARDINAL
ma-53	57	4	0	CARDINAL
ma-53	57	5	0	CARDINAL
ma-53	57	6	k0 ≤ k	ORG
ma-53	57	7	0	CARDINAL
ma-53	57	8	1	CARDINAL
ma-53	57	9	t 5 +	DATE
ma-53	58	1	2.1	CARDINAL
ma-53	59	1	j. math	PERSON
ma-53	61	1	10.28924	CARDINAL
ma-53	61	2	t 4 +	DATE
ma-53	61	3	3 +k4	DATE
ma-53	62	1	2.2	CARDINAL
ma-53	64	1	0	CARDINAL
ma-53	65	1	2l0	CARDINAL
ma-53	65	2	0	CARDINAL
ma-53	66	1	g1	ORG
ma-53	66	2	at least one	CARDINAL
ma-53	66	3	0	CARDINAL
ma-53	66	4	1	CARDINAL
ma-53	68	1	0	CARDINAL
ma-53	68	2	2	CARDINAL
ma-53	68	3	1− 2k1s0	TIME
ma-53	68	4	− sn	PERSON
ma-53	69	1	− sn	PERSON
ma-53	69	2	1−	CARDINAL
ma-53	69	3	2(1−	DATE
ma-53	69	4	2.3	CARDINAL
ma-53	69	5	2(1−	DATE
ma-53	69	6	− sn	PERSON
ma-53	70	1	1−	CARDINAL
ma-53	70	2	0	CARDINAL
ma-53	70	3	1	DATE
ma-53	70	4	2	CARDINAL
ma-53	73	1	2.1	CARDINAL
ma-53	74	1	0 ≤ δ0 ≤	QUANTITY
ma-53	75	1	2.4	CARDINAL
ma-53	75	2	η 1−δ	PERSON
ma-53	76	1	η	ORG
ma-53	76	2	s∗∗	GPE
ma-53	77	1	1	CARDINAL
ma-53	77	2	2	DATE
ma-53	80	1	2.5	CARDINAL
ma-53	84	1	2.6	CARDINAL
ma-53	84	2	tn ≤ sn ≤ tn+1	ORG
ma-53	85	1	2.7	CARDINAL
ma-53	86	1	j. math	PERSON
ma-53	88	1	10.28924	CARDINAL
ma-53	89	1	2.5)-(2.7	TIME
ma-53	89	2	0 ≤ αm	MONEY
ma-53	89	3	2.8	CARDINAL
ma-53	90	1	2.9	CARDINAL
ma-53	90	2	2.10	CARDINAL
ma-53	90	3	0	CARDINAL
ma-53	90	4	1	DATE
ma-53	90	5	2	CARDINAL
ma-53	91	1	t1	ORG
ma-53	91	2	2.4	CARDINAL
ma-53	91	3	0	CARDINAL
ma-53	92	1	2.8	CARDINAL
ma-53	92	2	2.9	CARDINAL
ma-53	93	1	2.8)-(2.10	CARDINAL
ma-53	93	2	1	CARDINAL
ma-53	93	3	2	DATE
ma-53	95	1	n.	PERSON
ma-53	98	1	δ2mη	PERSON
ma-53	99	1	1− δ2m+1 1−	TIME
ma-53	101	1	≤ η + δη +	PERSON
ma-53	102	1	1− δ2m+2 1−	TIME
ma-53	103	1	2.7	CARDINAL
ma-53	104	1	2.8	CARDINAL
ma-53	104	2	1− δ2n+3 1−	TIME
ma-53	107	1	2(n+1)η −	ORG
ma-53	108	1	2.11	CARDINAL
ma-53	108	2	2.11	CARDINAL
ma-53	108	3	0	CARDINAL
ma-53	108	4	1	CARDINAL
ma-53	109	1	k 2 t2n−1η	PERSON
ma-53	113	1	1	CARDINAL
ma-53	114	1	2.12	CARDINAL
ma-53	115	1	j. math	PERSON
ma-53	117	1	10.28924	CARDINAL
ma-53	117	2	two	CARDINAL
ma-53	118	1	inturn	PERSON
ma-53	120	1	1	CARDINAL
ma-53	121	1	k 2	ORG
ma-53	122	1	+k1(1	PERSON
ma-53	125	1	− k 2 t2n−1η	PERSON
ma-53	131	1	2	CARDINAL
ma-53	131	2	− k 2 t2n−1η +	PERSON
ma-53	132	1	2n+3 +	DATE
ma-53	135	1	2n−1η	CARDINAL
ma-53	136	1	2.13	CARDINAL
ma-53	136	2	1	CARDINAL
ma-53	137	1	2.11)-(2.13	CARDINAL
ma-53	137	2	2.11	CARDINAL
ma-53	138	1	2.14	CARDINAL
ma-53	139	1	2.15	CARDINAL
ma-53	139	2	2k1η 1−	PRODUCT
ma-53	139	3	1	CARDINAL
ma-53	139	4	2.16	CARDINAL
ma-53	139	5	2.13	CARDINAL
ma-53	139	6	2.17	CARDINAL
ma-53	139	7	2.4	CARDINAL
ma-53	140	1	f∞(δ	PERSON
ma-53	141	1	2.9)holds	CARDINAL
ma-53	141	2	2n+1η	CARDINAL
ma-53	141	3	2nη + δl0	PRODUCT
ma-53	142	1	2.18	CARDINAL
ma-53	142	2	2	CARDINAL
ma-53	142	3	2.19	CARDINAL
ma-53	142	4	2	CARDINAL
ma-53	146	1	1	CARDINAL
ma-53	146	2	2.20	CARDINAL
ma-53	147	1	j. math	PERSON
ma-53	149	1	10.28924	CARDINAL
ma-53	149	2	2	CARDINAL
ma-53	155	1	2	CARDINAL
ma-53	156	1	2	CARDINAL
ma-53	157	1	t 2n+2η	DATE
ma-53	158	1	2n+1	FAC
ma-53	159	1	2	CARDINAL
ma-53	160	1	t 3	DATE
ma-53	160	2	2	CARDINAL
ma-53	160	3	2n−1η	CARDINAL
ma-53	160	4	2.21	CARDINAL
ma-53	160	5	2	CARDINAL
ma-53	161	1	2	CARDINAL
ma-53	161	2	2	CARDINAL
ma-53	163	1	1−	CARDINAL
ma-53	165	1	2.19	CARDINAL
ma-53	165	2	2.4	CARDINAL
ma-53	166	1	2.8)-(2.10	CARDINAL
ma-53	167	1	s∗∗	ORG
ma-53	167	2	x0 ∈ ω	ORG
ma-53	167	3	η	GPE
ma-53	167	4	′(x0)−1	PRODUCT
ma-53	168	1	1	CARDINAL
ma-53	168	2	− x‖	PERSON
ma-53	176	1	k3‖z − y‖.(a4) u[x0	ORG
ma-53	176	2	s∗]	ORG
ma-53	177	1	2.1	CARDINAL
ma-53	179	1	j. math	PERSON
ma-53	181	1	10.28924	CARDINAL
ma-53	181	2	1.2	CARDINAL
ma-53	182	1	2.2	CARDINAL
ma-53	184	1	1.2	CARDINAL
ma-53	184	2	0	CARDINAL
ma-53	184	3	1	DATE
ma-53	184	4	2	CARDINAL
ma-53	185	1	∈	ORG
ma-53	186	1	0	CARDINAL
ma-53	187	1	− x∗‖ ≤	PERSON
ma-53	188	1	2.22	CARDINAL
ma-53	189	1	show(im	ORG
ma-53	191	1	sm.by	ORDINAL
ma-53	191	2	first	ORDINAL
ma-53	191	3	1.2	CARDINAL
ma-53	192	1	i0	ORG
ma-53	192	2	y0 ∈ u[x0	ORG
ma-53	193	1	first	ORDINAL
ma-53	193	2	1.2	CARDINAL
ma-53	194	1	x0)−	GPE
ma-53	194	2	− x0	PERSON
ma-53	195	1	2.23	CARDINAL
ma-53	195	2	2.23	CARDINAL
ma-53	195	3	2	CARDINAL
ma-53	196	1	2.24	CARDINAL
ma-53	196	2	a.	PERSON
ma-53	197	1	x0;f	PERSON
ma-53	197	2	x0‖+	DATE
ma-53	200	1	1	CARDINAL
ma-53	201	1	′(x0)‖	ORG
ma-53	201	2	2.25	CARDINAL
ma-53	201	3	linear	ORG
ma-53	201	4	19	CARDINAL
ma-53	201	5	25	CARDINAL
ma-53	202	1	1.2	CARDINAL
ma-53	204	1	2.26	CARDINAL
ma-53	204	2	2.24)-(2.26	CARDINAL
ma-53	206	1	j. math	PERSON
ma-53	208	1	10.28924	CARDINAL
ma-53	209	1	x0‖	DATE
ma-53	210	1	− y0‖+	PERSON
ma-53	212	1	x0‖	DATE
ma-53	213	1	xm+1 ∈ u[x0	ORG
ma-53	213	2	1	CARDINAL
ma-53	213	3	2	DATE
ma-53	215	1	+ 1	DATE
ma-53	215	2	second	ORDINAL
ma-53	215	3	1.2	CARDINAL
ma-53	216	1	xn+1)−	PRODUCT
ma-53	216	2	− yn))‖	PERSON
ma-53	217	1	yn	ORG
ma-53	220	1	2.27	CARDINAL
ma-53	225	1	2.28	CARDINAL
ma-53	225	2	2.27	CARDINAL
ma-53	225	3	2.28	CARDINAL
ma-53	225	4	first	ORDINAL
ma-53	225	5	1.20	CARDINAL
ma-53	226	1	x0)‖‖f	PERSON
ma-53	226	2	− sn	PERSON
ma-53	226	3	sn − tn	ORG
ma-53	227	1	− sn	PERSON
ma-53	227	2	1−	CARDINAL
ma-53	227	3	− tn+1	PERSON
ma-53	227	4	2.29	CARDINAL
ma-53	227	5	+ 1	DATE
ma-53	230	1	x0‖	DATE
ma-53	231	1	j. math	PERSON
ma-53	233	1	10.28924	CARDINAL
ma-53	233	2	9so yn+1 ∈ u[x0	ORG
ma-53	236	1	− f ′(xn+1))‖ ≤ k1(‖yn+1 −	PERSON
ma-53	237	1	− x0‖	PERSON
ma-53	238	1	1	CARDINAL
ma-53	238	2	′(x0)‖	ORG
ma-53	239	1	2.30	CARDINAL
ma-53	239	2	first	ORDINAL
ma-53	239	3	1.2	CARDINAL
ma-53	239	4	xn+1)−	PRODUCT
ma-53	241	1	2(1−	DATE
ma-53	242	1	−	PERSON
ma-53	250	1	2.27	CARDINAL
ma-53	250	2	− sn	PERSON
ma-53	251	1	− sn	PERSON
ma-53	251	2	0	CARDINAL
ma-53	252	1	2.3	CARDINAL
ma-53	254	1	j. math	PERSON
ma-53	256	1	10.28924	CARDINAL
ma-53	256	2	0.(ii	CARDINAL
ma-53	257	1	2	CARDINAL
ma-53	258	1	0	CARDINAL
ma-53	261	1	1	CARDINAL
ma-53	261	2	− x̄))dθ	GPE
ma-53	262	1	1 0	DATE
ma-53	263	1	1−	PRODUCT
ma-53	263	2	1	CARDINAL
ma-53	263	3	0	CARDINAL
ma-53	263	4	2.4	CARDINAL
ma-53	264	1	s∗∗	ORG
ma-53	264	2	2.2	CARDINAL
ma-53	265	1	3	CARDINAL
ma-53	265	2	section 2	LAW
ma-53	266	1	li	PERSON
ma-53	266	2	0	CARDINAL
ma-53	266	3	1	DATE
ma-53	266	4	2	DATE
ma-53	266	5	3	DATE
ma-53	266	6	4	CARDINAL
ma-53	268	1	0	CARDINAL
ma-53	268	2	1l0	CARDINAL
ma-53	268	3	2(1−	CARDINAL
ma-53	269	1	2 2l0	QUANTITY
ma-53	270	1	3.1)solves	CARDINAL
ma-53	270	2	1.define	CARDINAL
ma-53	270	3	− 1 and p(t	PERSON
ma-53	270	4	2l1(1	CARDINAL
ma-53	272	1	zeros	CARDINAL
ma-53	272	2	0	CARDINAL
ma-53	272	3	1l0	DATE
ma-53	274	1	0	CARDINAL
ma-53	276	1	2(1−	CARDINAL
ma-53	277	1	1− l0ϕ1(t)t)(1− p(t	LAW
ma-53	278	1	1 https://doi.org/10.28924/ada/ma.2.3 eur	QUANTITY
ma-53	279	1	j. math	PERSON
ma-53	281	1	10.28924	CARDINAL
ma-53	281	2	11has	CARDINAL
ma-53	281	3	zero	CARDINAL
ma-53	281	4	r2 ∈	ORG
ma-53	281	5	0	CARDINAL
ma-53	282	1	3.2	CARDINAL
ma-53	282	2	1.2	CARDINAL
ma-53	284	1	0	CARDINAL
ma-53	285	1	l0	ORG
ma-53	285	2	3.3	CARDINAL
ma-53	286	1	1	CARDINAL
ma-53	286	2	3.4	CARDINAL
ma-53	287	1	1 (	CARDINAL
ma-53	287	2	3.5	CARDINAL
ma-53	287	3	0 ≤ p(t	QUANTITY
ma-53	287	4	1	CARDINAL
ma-53	287	5	3.6	CARDINAL
ma-53	287	6	0 ≤	QUANTITY
ma-53	287	7	1	CARDINAL
ma-53	287	8	1.2	CARDINAL
ma-53	287	9	∈ ω	ORG
ma-53	287	10	0.(h2	TIME
ma-53	287	11	1 l0	QUANTITY
ma-53	287	12	∩ω.(h3	ORG
ma-53	287	13	− x‖	PERSON
ma-53	287	14	− x∗‖	PERSON
ma-53	287	15	− x‖, ‖f ′(x∗)−1([y	PERSON
ma-53	291	1	1.2	CARDINAL
ma-53	292	1	3.1	CARDINAL
ma-53	293	1	x0 ∈	ORG
ma-53	293	2	u(x∗	PERSON
ma-53	294	1	1.2	CARDINAL
ma-53	294	2	u(x∗	PERSON
ma-53	294	3	0	CARDINAL
ma-53	294	4	1	DATE
ma-53	294	5	2	CARDINAL
ma-53	296	1	j. math	PERSON
ma-53	298	1	10.28924	CARDINAL
ma-53	301	1	1	CARDINAL
ma-53	303	1	3.8	CARDINAL
ma-53	303	2	first	ORDINAL
ma-53	303	3	1.2	CARDINAL
ma-53	303	4	3.8	CARDINAL
ma-53	306	1	x0	ORG
ma-53	308	1	1	CARDINAL
ma-53	310	1	− x∗	PERSON
ma-53	311	1	3.9	CARDINAL
ma-53	311	2	3.2	CARDINAL
ma-53	311	3	3.4	CARDINAL
ma-53	311	4	3.8	CARDINAL
ma-53	311	5	3.9	CARDINAL
ma-53	312	1	− x∗‖ ≤	PERSON
ma-53	313	1	− x∗‖	PERSON
ma-53	315	1	− x∗‖ ≤ ‖x0	PERSON
ma-53	316	1	− x∗‖	PERSON
ma-53	316	2	3.10	CARDINAL
ma-53	318	1	3.2	CARDINAL
ma-53	318	2	3.6	CARDINAL
ma-53	318	3	′(x∗)−1(a0	CARDINAL
ma-53	318	4	x0;f	PERSON
ma-53	318	5	x0;f	PERSON
ma-53	319	1	− x∗‖	PERSON
ma-53	319	2	− x∗‖ ≤ 2l1(1 +	PERSON
ma-53	319	3	− x∗‖))‖x0	PERSON
ma-53	319	4	− x∗‖ ≤ p(‖x0 − x∗‖	PERSON
ma-53	319	5	≤ p(r	PERSON
ma-53	319	6	1	CARDINAL
ma-53	319	7	− x∗‖	PERSON
ma-53	319	8	3.11	CARDINAL
ma-53	319	9	second	ORDINAL
ma-53	319	10	1.2	CARDINAL
ma-53	323	1	3.12	CARDINAL
ma-53	324	1	j. math	PERSON
ma-53	326	1	10.28924	CARDINAL
ma-53	326	2	3.2	CARDINAL
ma-53	326	3	3.7	CARDINAL
ma-53	326	4	3.8	CARDINAL
ma-53	327	1	y0)‖ +‖f ′(y0)−1f	ORG
ma-53	327	2	′(x∗)−1(a0	CARDINAL
ma-53	328	1	− x∗‖ +	PERSON
ma-53	328	2	− x∗‖	PERSON
ma-53	328	3	− x∗‖	PERSON
ma-53	331	1	− x∗‖ ≤ ‖x0	PERSON
ma-53	332	1	− x∗‖	PERSON
ma-53	332	2	′(x∗)−1(a0	CARDINAL
ma-53	332	3	x0;f	PERSON
ma-53	333	1	x0;f	PERSON
ma-53	333	2	− f ′(y0))‖ ≤	PERSON
ma-53	334	1	x0‖	DATE
ma-53	334	2	− x∗‖	PERSON
ma-53	334	3	− x∗‖))‖x0	PERSON
ma-53	335	1	− x∗‖	PERSON
ma-53	335	2	1	CARDINAL
ma-53	336	1	− x∗‖ ≤ ϕ1(‖x0	PERSON
ma-53	342	1	x0	ORG
ma-53	342	2	xm	ORG
ma-53	342	3	xm+1	PERSON
ma-53	347	1	− x∗‖ ≤	PERSON
ma-53	349	1	3.13	CARDINAL
ma-53	349	2	− x∗‖	PERSON
ma-53	350	1	0	CARDINAL
ma-53	350	2	1	CARDINAL
ma-53	350	3	limm−→∞	DATE
ma-53	350	4	xm	ORG
ma-53	350	5	xm+1 ∈	PERSON
ma-53	350	6	u(x∗	PERSON
ma-53	351	1	3.2	CARDINAL
ma-53	353	1	3.14	CARDINAL
ma-53	354	1	j. math	PERSON
ma-53	356	1	10.28924	CARDINAL
ma-53	356	2	14	CARDINAL
ma-53	356	3	4	CARDINAL
ma-53	356	4	newton	GPE
ma-53	357	1	newton	GPE
ma-53	358	1	35	CARDINAL
ma-53	359	1	29	CARDINAL
ma-53	359	2	rtr	PERSON
ma-53	359	3	2 3m1	CARDINAL
ma-53	359	4	ω	CARDINAL
ma-53	360	1	rtr ≤	PERSON
ma-53	360	2	l ≤ l1	FAC
ma-53	361	1	4	CARDINAL
ma-53	361	2	4.1	CARDINAL
ma-53	363	1	t + θ1	GPE
ma-53	363	2	0	CARDINAL
ma-53	363	3	0	CARDINAL
ma-53	363	4	1	DATE
ma-53	363	5	2	CARDINAL
ma-53	363	6	3	CARDINAL
ma-53	364	1	l0k	PERSON
ma-53	366	1	4.2	CARDINAL
ma-53	367	1	1	CARDINAL
ma-53	367	2	0	CARDINAL
ma-53	367	3	1	CARDINAL
ma-53	368	1	max	PERSON
ma-53	369	1	ω	CARDINAL
ma-53	370	1	1	CARDINAL
ma-53	370	2	ω	ORG
ma-53	371	1	x(s)−	PERSON
ma-53	371	2	4.1	CARDINAL
ma-53	371	3	∈	ORG
ma-53	372	1	0	CARDINAL
ma-53	372	2	1	CARDINAL
ma-53	372	3	k(s2	PERSON
ma-53	373	1	1− s2)s1	TIME
ma-53	374	1	4.1	CARDINAL
ma-53	376	1	3ξ	CARDINAL
ma-53	376	2	1	CARDINAL
ma-53	376	3	t)x2(t)z(t)dt	GPE
ma-53	376	4	t ∈ bs ∈	ORG
ma-53	377	1	0	CARDINAL
ma-53	377	2	1	CARDINAL
ma-53	378	1	1	CARDINAL
ma-53	378	2	8 3	CARDINAL
ma-53	381	1	3 8	CARDINAL
ma-53	381	2	′(x0)−1	PRODUCT
ma-53	381	3	η	ORG
ma-53	381	4	3|ξ|	CARDINAL
ma-53	381	5	l0	ORG
ma-53	381	6	12|ξ| 8− 3|ξ|	CARDINAL
ma-53	381	7	6d |ξ| 8−3|ξ|	QUANTITY
ma-53	381	8	2	CARDINAL
ma-53	383	1	j. math	PERSON
ma-53	385	1	10.28924	CARDINAL
ma-53	385	2	15	CARDINAL
ma-53	385	3	4.3	CARDINAL
ma-53	386	1	ω	ORG
ma-53	386	2	4.2	CARDINAL
ma-53	387	1	16	CARDINAL
ma-53	387	2	1	CARDINAL
ma-53	387	3	hammerstein	PERSON
ma-53	387	4	ψ(s	ORG
ma-53	394	1	x0(s	GPE
ma-53	394	2	ω	CARDINAL
ma-53	396	1	+ 1	DATE
ma-53	396	2	1	CARDINAL
ma-53	396	3	2τ	CARDINAL
ma-53	396	4	5	CARDINAL
ma-53	397	1	2τ+3r0	CARDINAL
ma-53	397	2	+6 8	DATE
ma-53	398	1	+3 4	DATE
ma-53	398	2	2	CARDINAL
ma-53	399	1	η	PERSON
ma-53	399	2	1+τ 5−2τ	DATE
ma-53	401	1	l0	ORG
ma-53	402	1	newton	ORG
ma-53	403	1	4.4	CARDINAL
ma-53	404	1	ω = u[0	ORG
ma-53	404	2	1	CARDINAL
ma-53	404	3	0	CARDINAL
ma-53	404	4	0	CARDINAL
ma-53	404	5	0)tr	GPE
ma-53	405	1	e(λ	PERSON
ma-53	408	1	1	CARDINAL
ma-53	409	1	1	CARDINAL
ma-53	409	2	1	CARDINAL
ma-53	410	1	l0	ORG
ma-53	410	2	2	CARDINAL
ma-53	410	3	l 2	DATE
ma-53	411	1	rtr	PERSON
ma-53	411	2	0.3827	CARDINAL
ma-53	413	1	4.5	CARDINAL
ma-53	414	1	ω	ORG
ma-53	414	2	4.2	CARDINAL
ma-53	415	1	ω	DATE
ma-53	417	1	1	CARDINAL
ma-53	417	2	3dj	ORDINAL
ma-53	419	1	3	CARDINAL
ma-53	419	2	1	CARDINAL
ma-53	419	3	2ψ1(j)dj	CARDINAL
ma-53	419	4	∈ ω	ORG
ma-53	420	1	1.5	CARDINAL
ma-53	421	1	3	CARDINAL
ma-53	421	2	2	CARDINAL
ma-53	422	1	rtr	PERSON
ma-53	424	1	0.2663	CARDINAL
ma-53	426	1	j. math	PERSON
ma-53	428	1	10.28924	CARDINAL
ma-53	430	1	boundson	PERSON
ma-53	430	2	− xk‖	PERSON
ma-53	430	3	− x∗‖	PERSON
ma-53	431	1	two	CARDINAL
ma-53	432	1	1	CARDINAL
ma-53	432	2	the newton kantorovich hypothesis	ORG
ma-53	432	3	j. comput	PERSON
ma-53	434	1	169	CARDINAL
ma-53	434	2	2004	DATE
ma-53	435	1	315–332	CARDINAL
ma-53	436	1	amsterdam	GPE
ma-53	436	2	london	GPE
ma-53	436	3	2007.[3	CARDINAL
ma-53	436	4	newton	GPE
ma-53	436	5	springer verlag	PERSON
ma-53	436	6	berlin	GPE
ma-53	436	7	germany	GPE
ma-53	436	8	2008).[4	CARDINAL
ma-53	436	9	s. hilout	PERSON
ma-53	436	10	newton	GPE
ma-53	436	11	j. complexity	PERSON
ma-53	436	12	28	CARDINAL
ma-53	436	13	2012	DATE
ma-53	436	14	364–387	CARDINAL
ma-53	437	1	s. hilout	PERSON
ma-53	437	2	newton	ORG
ma-53	438	1	comput	PERSON
ma-53	439	1	225	CARDINAL
ma-53	439	2	2013)372–386	CARDINAL
ma-53	440	1	a.a. magréñan	GPE
ma-53	440	2	crc press	ORG
ma-53	440	3	new york	GPE
ma-53	440	4	a.a. magréñan	GPE
ma-53	440	5	new york	GPE
ma-53	440	6	2018.[8	CARDINAL
ma-53	440	7	r. behl	PERSON
ma-53	440	8	p. maroju	PERSON
ma-53	440	9	e. martinez	PERSON
ma-53	440	10	s. singh	PERSON
ma-53	440	11	fifth	ORDINAL
ma-53	442	1	51	CARDINAL
ma-53	442	2	2020	DATE
ma-53	442	3	439	CARDINAL
ma-53	443	1	e. cătinaş	PERSON
ma-53	445	1	74(2005	CARDINAL
ma-53	446	1	291–301	CARDINAL
ma-53	447	1	https://doi.org/10.1090/s0025-5718-04-01646-1.[10	PERSON
ma-53	447	2	x. chen	PERSON
ma-53	447	3	t. yamamoto	PERSON
ma-53	448	1	optim	PERSON
ma-53	449	1	10 (1989	DATE
ma-53	450	1	37–48.[11	CARDINAL
ma-53	450	2	jr.	PERSON
ma-53	450	3	newton	GPE
ma-53	452	1	11	CARDINAL
ma-53	452	2	1968	DATE
ma-53	453	1	324–330[12	CARDINAL
ma-53	454	1	dennis jr.	PERSON
ma-53	454	2	prentice-hall	ORG
ma-53	454	3	englewood cliffs	GPE
ma-53	454	4	g. heindl	PERSON
ma-53	454	5	affine invariant convergence theorems	ORG
ma-53	454	6	newton	ORG
ma-53	455	1	j. numer	PERSON
ma-53	457	1	16 (1979	DATE
ma-53	457	2	1–10	CARDINAL
ma-53	458	1	newton	ORG
ma-53	459	1	affine invariance	ORG
ma-53	459	2	35	DATE
ma-53	459	3	berlin	GPE
ma-53	460	1	2004).[15	CARDINAL
ma-53	460	2	j.m. gutiérrez	GPE
ma-53	460	3	m.a. hernández	PERSON
ma-53	460	4	n. romero	PERSON
ma-53	460	5	m.j. rubio	PERSON
ma-53	460	6	newton	GPE
ma-53	460	7	newton	GPE
ma-53	460	8	spanish	NORP
ma-53	460	9	gac	ORG
ma-53	461	1	r. soc	PERSON
ma-53	464	1	13	CARDINAL
ma-53	464	2	2010	DATE
ma-53	464	3	53-76.[16	CARDINAL
ma-53	464	4	m.a. hernandez	PERSON
ma-53	464	5	newton	GPE
ma-53	464	6	kantorovich	PERSON
ma-53	464	7	cham switzerland,(2018).[17	PERSON
ma-53	464	8	m. grau-sánchez	PERSON
ma-53	464	9	a. grau	PERSON
ma-53	464	10	m. noguera	PERSON
ma-53	465	1	comput	PERSON
ma-53	466	1	281	CARDINAL
ma-53	466	2	2011	DATE
ma-53	466	3	2385	CARDINAL
ma-53	469	1	https://doi.org/10.1090/s0025-5718-04-01646-1	PRODUCT
ma-53	470	1	j. math	PERSON
ma-53	472	1	10.28924	CARDINAL
ma-53	473	1	18	CARDINAL
ma-53	473	2	a.a. magreñán	PERSON
ma-53	473	3	n. romero	PERSON
ma-53	473	4	newton-kantorovich	ORG
ma-53	474	1	comput	PERSON
ma-53	475	1	221	CARDINAL
ma-53	475	2	2013	DATE
ma-53	475	3	79-88	DATE
ma-53	476	1	https://doi.org/10.1016/j.amc.2013.05	ORG
ma-53	477	1	l.v. kantorovich	ORG
ma-53	477	2	g.p. akilov	PERSON
ma-53	477	3	pergamon press	ORG
ma-53	477	4	oxford	NORP
ma-53	477	5	magréñan	GPE
ma-53	477	6	i.k. argyros	GPE
ma-53	477	7	j.j. rainer	PERSON
ma-53	477	8	j.a. sicilia	PERSON
ma-53	477	9	sixth	ORDINAL
ma-53	477	10	newton	ORG
ma-53	477	11	j. mat	PERSON
ma-53	478	1	56	CARDINAL
ma-53	478	2	2018	DATE
ma-53	478	3	2117-2131	DATE
ma-53	479	1	018-0856-y.[21	CARDINAL
ma-53	479	2	magréñan	GPE
ma-53	479	3	j.m. gutiérrez	GPE
ma-53	479	4	newton	GPE
ma-53	479	5	j. comput.appl	PERSON
ma-53	480	1	275	CARDINAL
ma-53	480	2	2015	CARDINAL
ma-53	481	1	527–538	CARDINAL
ma-53	482	1	nashed	PERSON
ma-53	482	2	x. chen	PERSON
ma-53	482	3	newton	GPE
ma-53	482	4	numer	ORG
ma-53	483	1	66	CARDINAL
ma-53	483	2	1993	DATE
ma-53	483	3	235	CARDINAL
ma-53	483	4	ortega	PERSON
ma-53	483	5	w.c.	PERSON
ma-53	483	6	rheinboldt	GPE
ma-53	483	7	1970).[24	CARDINAL
ma-53	483	8	ortega	PERSON
ma-53	483	9	w.c.	PERSON
ma-53	483	10	rheinboldt	GPE
ma-53	484	1	philadelphia,2000	ORG
ma-53	484	2	first	ORDINAL
ma-53	484	3	new york	GPE
ma-53	484	4	london	GPE
ma-53	484	5	1997).[25	CARDINAL
ma-53	484	6	1973.[26	CARDINAL
ma-53	484	7	103	CARDINAL
ma-53	485	1	boston	GPE
ma-53	485	2	ma	GPE
ma-53	486	1	1984).[27	CARDINAL
ma-53	486	2	proinov	GPE
ma-53	486	3	j. complexity	PERSON
ma-53	486	4	25	CARDINAL
ma-53	486	5	2009	DATE
ma-53	486	6	38	CARDINAL
ma-53	487	1	proinov	GPE
ma-53	487	2	newton-kantorovichtype	ORG
ma-53	487	3	j. complexity	ORG
ma-53	487	4	26	CARDINAL
ma-53	487	5	2010	DATE
ma-53	487	6	3	CARDINAL
ma-53	488	1	rheinboldt	GPE
ma-53	489	1	polish academy ofscience	ORG
ma-53	489	2	ctr	GPE
ma-53	490	1	3 (1978	DATE
ma-53	490	2	129	CARDINAL
ma-53	490	3	s.m. shakhno	GPE
ma-53	490	4	o.p.	GPE
ma-53	490	5	1.839	CARDINAL
ma-53	491	1	161	CARDINAL
ma-53	491	2	2005	DATE
ma-53	491	3	253	CARDINAL
ma-53	491	4	r.p.	GPE
ma-53	491	5	iakymchuk	GPE
ma-53	491	6	h.p. yarmola	GPE
ma-53	491	7	two	CARDINAL
ma-53	491	8	j. numer	PERSON
ma-53	492	1	128	CARDINAL
ma-53	492	2	2018	DATE
ma-53	492	3	82	CARDINAL
ma-53	492	4	r.k. guha	PERSON
ma-53	492	5	r. sharma	PERSON
ma-53	492	6	fourth	ORDINAL
ma-53	492	7	newton	ORG
ma-53	494	1	62	CARDINAL
ma-53	494	2	2013	DATE
ma-53	494	3	307	CARDINAL
ma-53	495	1	f. soleymani	PERSON
ma-53	495	2	t. lotfi	ORG
ma-53	495	3	p. bakhtiari	PERSON
ma-53	497	1	lett	PERSON
ma-53	498	1	1001-1015	DATE
ma-53	499	1	https://doi.org/10.1007/s11590-013-0617-6.[34] j.f	ORG
ma-53	500	1	16 (1993	DATE
ma-53	500	2	64	CARDINAL
ma-53	500	3	prentice hall	ORG
ma-53	500	4	new jersey	GPE
ma-53	500	5	u.s.a.	GPE
ma-53	501	1	1964).[36	CARDINAL
ma-53	501	2	newton	GPE
ma-53	503	1	51	CARDINAL
ma-53	503	2	1987	DATE
ma-53	504	1	545	CARDINAL
ma-53	504	2	r. verma	PERSON
ma-53	504	3	new york	GPE
ma-53	504	4	usa.	GPE
ma-53	505	1	2019).[38	CARDINAL
ma-53	505	2	d.f. nguen	GPE
ma-53	505	3	newton-kantorovich	ORG
ma-53	505	4	numer	ORG
ma-53	506	1	funct	PERSON
ma-53	508	1	optim	PERSON
ma-53	509	1	9 (	CARDINAL
ma-53	509	2	1987	DATE
ma-53	509	3	671	CARDINAL
ma-53	511	1	https://doi.org/10.1016/j.amc.2013.05.078 https://doi.org/10.1016/j.amc.2013.05.078 https://doi.org/10.1007/s10910-018-0856-y	PERSON
ma-53	511	2	https://doi.org/10.1016/j.amc.2003.12.025	PRODUCT
ma-53	512	1	2	CARDINAL
ma-53	512	2	3	CARDINAL
ma-53	512	3	4	CARDINAL
ma-53	512	4	5	CARDINAL