id	sid	eid	entity	type
ma-17	1	1	2021	CARDINAL
ma-17	2	1	j. math	PERSON
ma-17	4	1	1 (	CARDINAL
ma-17	4	2	2021	CARDINAL
ma-17	4	3	68	CARDINAL
ma-17	4	4	10.28924	CARDINAL
ma-17	4	5	two	CARDINAL
ma-17	4	6	ioannis k. argyros	PERSON
ma-17	4	7	cameron university	ORG
ma-17	4	8	lawton	GPE
ma-17	6	1	two	CARDINAL
ma-17	7	1	four	CARDINAL
ma-17	7	2	fifth	ORDINAL
ma-17	8	1	at least five	CARDINAL
ma-17	11	1	first	ORDINAL
ma-17	14	1	1	CARDINAL
ma-17	14	2	0	CARDINAL
ma-17	14	3	1.1	CARDINAL
ma-17	15	1	ω ⊂	ORG
ma-17	15	2	ω 6=	DATE
ma-17	15	3	1.1	CARDINAL
ma-17	17	1	0	CARDINAL
ma-17	17	2	1	DATE
ma-17	17	3	2	CARDINAL
ma-17	20	1	1.2	CARDINAL
ma-17	20	2	ω×ω	CARDINAL
ma-17	21	1	1.2	CARDINAL
ma-17	22	1	31	CARDINAL
ma-17	22	2	2021	DATE
ma-17	24	1	functions.68 https://adac.ee	ORG
ma-17	25	1	j. math	PERSON
ma-17	27	1	1 (	CARDINAL
ma-17	27	2	2021	CARDINAL
ma-17	27	3	69 traub	QUANTITY
ma-17	28	1	35	CARDINAL
ma-17	30	1	1.3	CARDINAL
ma-17	30	2	newton	ORG
ma-17	31	1	6	CARDINAL
ma-17	33	1	1.4	CARDINAL
ma-17	34	1	25	CARDINAL
ma-17	37	1	2[xn	CARDINAL
ma-17	37	2	1.5	CARDINAL
ma-17	42	1	1.6	CARDINAL
ma-17	42	2	25	CARDINAL
ma-17	46	1	2[xn	CARDINAL
ma-17	46	2	′(xn)−1)f	ORG
ma-17	46	3	yn	ORG
ma-17	46	4	1.7	CARDINAL
ma-17	47	1	32	CARDINAL
ma-17	50	1	1.8	CARDINAL
ma-17	50	2	2[xn	CARDINAL
ma-17	53	1	2[xn	CARDINAL
ma-17	53	2	xn	ORG
ma-17	53	3	ω × ω −→ l(b	ORG
ma-17	53	4	ω×ω	CARDINAL
ma-17	53	5	32	CARDINAL
ma-17	53	6	15,28,40	CARDINAL
ma-17	53	7	therein).these	NORP
ma-17	53	8	four	CARDINAL
ma-17	53	9	taylor	PERSON
ma-17	53	10	fifth	ORDINAL
ma-17	54	1	ω	CARDINAL
ma-17	55	1	1.5	CARDINAL
ma-17	56	1	t3	ORG
ma-17	56	2	t2 + t5 −	ORG
ma-17	59	1	1	CARDINAL
ma-17	60	1	6	CARDINAL
ma-17	60	2	+ 60t2	CARDINAL
ma-17	60	3	24	CARDINAL
ma-17	62	1	j. math	PERSON
ma-17	64	1	1 (	CARDINAL
ma-17	64	2	2021	CARDINAL
ma-17	65	1	ω	CARDINAL
ma-17	66	1	1.2	CARDINAL
ma-17	66	2	1–41].in	CARDINAL
ma-17	66	3	1.2	CARDINAL
ma-17	67	1	taylor	PERSON
ma-17	69	1	section 2	LAW
ma-17	69	2	3,4	CARDINAL
ma-17	69	3	section 4	LAW
ma-17	70	1	the last section 5	DATE
ma-17	70	2	2	CARDINAL
ma-17	71	1	2.1	CARDINAL
ma-17	73	1	w̄n‖	DATE
ma-17	73	2	0	CARDINAL
ma-17	73	3	1	DATE
ma-17	73	4	2	CARDINAL
ma-17	74	1	2.1	CARDINAL
ma-17	74	2	23–25	CARDINAL
ma-17	76	1	η	PERSON
ma-17	76	2	0	CARDINAL
ma-17	78	1	b(n	PERSON
ma-17	79	1	0	CARDINAL
ma-17	79	2	1	DATE
ma-17	79	3	2	CARDINAL
ma-17	80	1	0	CARDINAL
ma-17	80	2	2.2	CARDINAL
ma-17	80	3	1	CARDINAL
ma-17	80	4	1−	WORK_OF_ART
ma-17	80	5	1−	LANGUAGE
ma-17	80	6	ā	DATE
ma-17	81	1	1	CARDINAL
ma-17	81	2	2	DATE
ma-17	85	1	i f n = 1,	PERSON
ma-17	85	2	2	DATE
ma-17	87	1	2.2	CARDINAL
ma-17	87	2	0	CARDINAL
ma-17	87	3	0	CARDINAL
ma-17	87	4	1	DATE
ma-17	87	5	2	CARDINAL
ma-17	89	1	tn ≤ µ	FAC
ma-17	89	2	2.3	CARDINAL
ma-17	89	3	1	CARDINAL
ma-17	89	4	2.4	CARDINAL
ma-17	90	1	j. math	PERSON
ma-17	92	1	1 (	CARDINAL
ma-17	92	2	2021	CARDINAL
ma-17	92	3	71	DATE
ma-17	93	1	η	ORG
ma-17	95	1	2.2)-(2.4	CARDINAL
ma-17	95	2	aboveby µ	ORG
ma-17	95	3	2.3	CARDINAL
ma-17	96	1	2.3	CARDINAL
ma-17	96	2	2.4	CARDINAL
ma-17	96	3	tn ≤ p−10	ORG
ma-17	96	4	1	CARDINAL
ma-17	97	1	2.5	CARDINAL
ma-17	98	1	1	CARDINAL
ma-17	98	2	2.2	CARDINAL
ma-17	99	1	2.4	CARDINAL
ma-17	100	1	2.3)-(2.5	CARDINAL
ma-17	102	1	0	CARDINAL
ma-17	102	2	1	CARDINAL
ma-17	103	1	η 1−	PERSON
ma-17	103	2	2η	CARDINAL
ma-17	104	1	1	CARDINAL
ma-17	104	2	1−	ORDINAL
ma-17	104	3	g(t	NORP
ma-17	105	1	η	PRODUCT
ma-17	105	2	η 1−	PERSON
ma-17	105	3	2η	CARDINAL
ma-17	106	1	zeros	CARDINAL
ma-17	106	2	0	CARDINAL
ma-17	106	3	1	CARDINAL
ma-17	108	1	third	ORDINAL
ma-17	108	2	1.2	CARDINAL
ma-17	109	1	2.5	CARDINAL
ma-17	109	2	2.6	CARDINAL
ma-17	109	3	1−λ	CARDINAL
ma-17	109	4	∈	ORG
ma-17	110	1	0	CARDINAL
ma-17	111	1	1	CARDINAL
ma-17	111	2	2	DATE
ma-17	114	1	2.7	CARDINAL
ma-17	115	1	2.8	CARDINAL
ma-17	115	2	2.9	CARDINAL
ma-17	115	3	0 ≤ tn+1 ≤	QUANTITY
ma-17	115	4	2.10	CARDINAL
ma-17	116	1	j. math	PERSON
ma-17	118	1	1 (	CARDINAL
ma-17	118	2	2021	CARDINAL
ma-17	118	3	72	CARDINAL
ma-17	119	1	2.7)-(2.10	CARDINAL
ma-17	119	2	0 ≤ αm	MONEY
ma-17	119	3	2.11	CARDINAL
ma-17	119	4	0 ≤	MONEY
ma-17	120	1	2.13)are	CARDINAL
ma-17	120	2	0	CARDINAL
ma-17	120	3	1	DATE
ma-17	120	4	2	CARDINAL
ma-17	122	1	0	CARDINAL
ma-17	122	2	2.6	CARDINAL
ma-17	123	1	2.11)-(2.13	CARDINAL
ma-17	123	2	1	CARDINAL
ma-17	123	3	2	DATE
ma-17	124	1	2.7	CARDINAL
ma-17	124	2	2.8	CARDINAL
ma-17	127	1	1− λ2m+1 1−	TIME
ma-17	129	1	1− λ2m+2 1−	PRODUCT
ma-17	129	2	2.13	CARDINAL
ma-17	130	1	2.11	CARDINAL
ma-17	130	2	a(tm	ORG
ma-17	130	3	sm	ORG
ma-17	131	1	1 0 ψ((1−	QUANTITY
ma-17	131	2	1−	ORDINAL
ma-17	131	3	1− λ η	PERSON
ma-17	131	4	1− λ2m+1 1− λ η	TIME
ma-17	132	1	1	CARDINAL
ma-17	133	1	1− θ)λ2mη)dθ ≤	MONEY
ma-17	133	2	η 1− λ	PERSON
ma-17	133	3	2η	CARDINAL
ma-17	134	1	1 0 ψ((1− θ)λ2η)dθ ≤	QUANTITY
ma-17	134	2	2.12	CARDINAL
ma-17	134	3	1−	ORDINAL
ma-17	134	4	1− λ η	PERSON
ma-17	134	5	1−	CARDINAL
ma-17	134	6	1− λ η	PERSON
ma-17	135	1	1− λ2m+2 1−	PRODUCT
ma-17	135	2	η 1− λ	PERSON
ma-17	135	3	2η	CARDINAL
ma-17	135	4	1−	PRODUCT
ma-17	136	1	j. math	PERSON
ma-17	138	1	1 (	CARDINAL
ma-17	139	1	2.13	CARDINAL
ma-17	139	2	limm−→∞	DATE
ma-17	139	3	limm−→∞	DATE
ma-17	139	4	3	CARDINAL
ma-17	139	5	∈	ORG
ma-17	139	6	‖x	PERSON
ma-17	142	1	∈	ORG
ma-17	142	2	‖x	PERSON
ma-17	144	1	x0‖ ≤	DATE
ma-17	145	1	0}.we	CARDINAL
ma-17	147	1	0,∞	TIME
ma-17	149	1	1	CARDINAL
ma-17	149	2	0	CARDINAL
ma-17	149	3	zero	CARDINAL
ma-17	149	4	0,∞	DATE
ma-17	151	1	0	CARDINAL
ma-17	153	1	x0 ∈ ω	ORG
ma-17	153	2	η	ORG
ma-17	153	3	0	CARDINAL
ma-17	153	4	′(x0)−1	PRODUCT
ma-17	156	1	− x‖	PERSON
ma-17	156	2	0	CARDINAL
ma-17	156	3	1	DATE
ma-17	156	4	2	CARDINAL
ma-17	157	1	−1([y	ORG
ma-17	160	1	−1	DATE
ma-17	160	2	1	CARDINAL
ma-17	162	1	c5	ORG
ma-17	162	2	2.2	CARDINAL
ma-17	162	3	2.3	CARDINAL
ma-17	162	4	2.5	CARDINAL
ma-17	163	1	1.2	CARDINAL
ma-17	165	1	j. math	PERSON
ma-17	167	1	1 (	CARDINAL
ma-17	167	2	2021	CARDINAL
ma-17	167	3	74	CARDINAL
ma-17	167	4	3.1	CARDINAL
ma-17	168	1	1.2	CARDINAL
ma-17	168	2	0	CARDINAL
ma-17	168	3	1	DATE
ma-17	168	4	2	CARDINAL
ma-17	170	1	∈	ORG
ma-17	171	1	0	CARDINAL
ma-17	172	1	0	CARDINAL
ma-17	172	2	1	DATE
ma-17	172	3	2	CARDINAL
ma-17	179	1	integer m.	PERSON
ma-17	179	2	first	ORDINAL
ma-17	179	3	1.2	CARDINAL
ma-17	180	1	first	ORDINAL
ma-17	180	2	1.2	CARDINAL
ma-17	181	1	x0)−	GPE
ma-17	181	2	− x0	PERSON
ma-17	183	1	1 0	DATE
ma-17	187	1	− x0)dθ	PERSON
ma-17	187	2	y0)‖ ≤ ∫	ORG
ma-17	187	3	1	CARDINAL
ma-17	188	1	− x0‖)dθ‖y0	PERSON
ma-17	189	1	x0‖	DATE
ma-17	190	1	1	CARDINAL
ma-17	191	1	3.1	CARDINAL
ma-17	195	1	1	CARDINAL
ma-17	195	2	3.2	CARDINAL
ma-17	198	1	3.3	CARDINAL
ma-17	198	2	24	CARDINAL
ma-17	198	3	3.2	CARDINAL
ma-17	199	1	c3	PERSON
ma-17	199	2	3.3	CARDINAL
ma-17	199	3	1	CARDINAL
ma-17	202	1	1	CARDINAL
ma-17	202	2	1−	TIME
ma-17	204	1	x0‖	ORG
ma-17	204	2	1−	CARDINAL
ma-17	206	1	1	CARDINAL
ma-17	206	2	1−	WORK_OF_ART
ma-17	207	1	3.4	CARDINAL
ma-17	208	1	j. math	PERSON
ma-17	210	1	1 (	CARDINAL
ma-17	210	2	2021	CARDINAL
ma-17	212	1	x0‖	DATE
ma-17	214	1	− y0‖+	PERSON
ma-17	215	1	x0‖	DATE
ma-17	219	1	f ′(x0)a−10	PERSON
ma-17	219	2	1 0	DATE
ma-17	219	3	− x0))−	PERSON
ma-17	221	1	3.5	CARDINAL
ma-17	221	2	second	ORDINAL
ma-17	221	3	1.2	CARDINAL
ma-17	222	1	′(x0)a−10	PERSON
ma-17	223	1	c3	PERSON
ma-17	223	2	3.4)and	CARDINAL
ma-17	223	3	3.5	CARDINAL
ma-17	224	1	3.6	CARDINAL
ma-17	225	1	x1‖	DATE
ma-17	226	1	1−	CARDINAL
ma-17	226	2	3.7	CARDINAL
ma-17	226	3	1	CARDINAL
ma-17	226	4	xm+1 ∈ u[x0	ORG
ma-17	227	1	repeatingthese	NORP
ma-17	227	2	xm	ORG
ma-17	227	3	xm+1	PERSON
ma-17	227	4	x0	ORG
ma-17	227	5	xm	ORG
ma-17	228	1	3.8	CARDINAL
ma-17	230	1	3.2	CARDINAL
ma-17	232	1	s̃	GPE
ma-17	232	2	1	CARDINAL
ma-17	232	3	1	CARDINAL
ma-17	232	4	3.9	CARDINAL
ma-17	233	1	0	CARDINAL
ma-17	234	1	j. math	PERSON
ma-17	236	1	1 (	CARDINAL
ma-17	236	2	2021	CARDINAL
ma-17	237	1	76	CARDINAL
ma-17	238	1	1	CARDINAL
ma-17	239	1	− x̃))dθ	PERSON
ma-17	239	2	x̃	ORG
ma-17	239	3	x̃	ORG
ma-17	240	1	0	CARDINAL
ma-17	241	1	1	CARDINAL
ma-17	242	1	1	CARDINAL
ma-17	242	2	x0‖)dθ	CARDINAL
ma-17	242	3	1	CARDINAL
ma-17	242	4	1	CARDINAL
ma-17	242	5	x̃	ORG
ma-17	242	6	x̃	ORG
ma-17	244	1	x̃	ORG
ma-17	245	1	0	CARDINAL
ma-17	246	1	0	CARDINAL
ma-17	246	2	3.3	CARDINAL
ma-17	248	1	newton	ORG
ma-17	248	2	1.4	CARDINAL
ma-17	249	1	′(x0)‖	ORG
ma-17	249	2	− x0‖	PERSON
ma-17	249	3	1	CARDINAL
ma-17	250	1	1	CARDINAL
ma-17	251	1	1	CARDINAL
ma-17	252	1	1	CARDINAL
ma-17	252	2	1	CARDINAL
ma-17	252	3	3.10	CARDINAL
ma-17	252	4	1	CARDINAL
ma-17	253	1	3.11	CARDINAL
ma-17	253	2	2.5	CARDINAL
ma-17	255	1	− tn	PERSON
ma-17	255	2	2(1−	CARDINAL
ma-17	255	3	3.12	CARDINAL
ma-17	255	4	− sn	PERSON
ma-17	255	5	2(1−	CARDINAL
ma-17	256	1	3.13	CARDINAL
ma-17	257	1	j. math	PERSON
ma-17	259	1	1 (	CARDINAL
ma-17	259	2	2021	CARDINAL
ma-17	259	3	77	DATE
ma-17	259	4	0	CARDINAL
ma-17	259	5	1	CARDINAL
ma-17	259	6	1	CARDINAL
ma-17	263	1	2	CARDINAL
ma-17	266	1	ϕ(t	PERSON
ma-17	267	1	t 3 +	DATE
ma-17	270	1	2l0	CARDINAL
ma-17	270	2	zero	CARDINAL
ma-17	270	3	0	CARDINAL
ma-17	271	1	3.4	CARDINAL
ma-17	272	1	3.14	CARDINAL
ma-17	272	2	2.5	CARDINAL
ma-17	274	1	0 ≤ l(sm −	QUANTITY
ma-17	274	2	2(1−	CARDINAL
ma-17	274	3	3.15	CARDINAL
ma-17	276	1	2(1−	TIME
ma-17	277	1	3.17)these	CARDINAL
ma-17	277	2	0	CARDINAL
ma-17	277	3	3.14	CARDINAL
ma-17	278	1	3.15	CARDINAL
ma-17	278	2	l 2 ρ2mη + ρl0(1 + ρ+	DATE
ma-17	280	1	1	CARDINAL
ma-17	281	1	3.18	CARDINAL
ma-17	281	2	1)m	CARDINAL
ma-17	281	3	1	CARDINAL
ma-17	282	1	2	CARDINAL
ma-17	284	1	1	CARDINAL
ma-17	285	1	3.19	CARDINAL
ma-17	285	2	1)m	CARDINAL
ma-17	286	1	3.9	CARDINAL
ma-17	287	1	1	CARDINAL
ma-17	288	1	2	CARDINAL
ma-17	289	1	t2m+2)η − 1	PERSON
ma-17	291	1	1	CARDINAL
ma-17	291	2	1	CARDINAL
ma-17	291	3	l 2 + l0(t 2 +	DATE
ma-17	291	4	1	CARDINAL
ma-17	292	1	3.20	CARDINAL
ma-17	292	2	fm+1(ρ	ORG
ma-17	292	3	3.21	CARDINAL
ma-17	293	1	j. math	PERSON
ma-17	295	1	1 (	CARDINAL
ma-17	295	2	2021) 78so	DATE
ma-17	295	3	3.8	CARDINAL
ma-17	295	4	1	CARDINAL
ma-17	296	1	1)∞	CARDINAL
ma-17	297	1	limm−→∞	DATE
ma-17	297	2	1	CARDINAL
ma-17	299	1	1−	CARDINAL
ma-17	300	1	3.23	CARDINAL
ma-17	300	2	3.22	CARDINAL
ma-17	300	3	3.14	CARDINAL
ma-17	301	1	3.16	CARDINAL
ma-17	301	2	l 2	DATE
ma-17	304	1	3.25	CARDINAL
ma-17	304	2	2	CARDINAL
ma-17	305	1	3.26)as	CARDINAL
ma-17	305	2	3.20	CARDINAL
ma-17	306	1	2	CARDINAL
ma-17	311	1	1	CARDINAL
ma-17	312	1	2	CARDINAL
ma-17	313	1	2	CARDINAL
ma-17	313	2	ϕ(t)t2mη	ORDINAL
ma-17	314	1	3.27	CARDINAL
ma-17	314	2	2)∞	CARDINAL
ma-17	315	1	2	CARDINAL
ma-17	316	1	2)∞	CARDINAL
ma-17	317	1	1)∞	CARDINAL
ma-17	318	1	2)∞	CARDINAL
ma-17	318	2	3.26	CARDINAL
ma-17	319	1	3.14	CARDINAL
ma-17	320	1	3.15)-(3.17	DATE
ma-17	321	1	2.2	CARDINAL
ma-17	322	1	4	CARDINAL
ma-17	324	1	ψ0(t)− 1	DATE
ma-17	324	2	0	CARDINAL
ma-17	324	3	zero	CARDINAL
ma-17	324	4	∈	ORG
ma-17	326	1	0	CARDINAL
ma-17	326	2	0	CARDINAL
ma-17	326	3	zero	CARDINAL
ma-17	327	1	1 0 ψ((1− θ)t)dθ 1−	QUANTITY
ma-17	329	1	j. math	PERSON
ma-17	331	1	1 (	CARDINAL
ma-17	331	2	2021	CARDINAL
ma-17	331	3	1	CARDINAL
ma-17	331	4	zero	CARDINAL
ma-17	331	5	∈	ORG
ma-17	335	1	0	CARDINAL
ma-17	335	2	1	CARDINAL
ma-17	335	3	0	CARDINAL
ma-17	335	4	zero	CARDINAL
ma-17	335	5	r2 ∈	ORG
ma-17	335	6	0	CARDINAL
ma-17	335	7	ψ2(t	PERSON
ma-17	336	1	1	CARDINAL
ma-17	336	2	1− ψ0(t))(1− ψ0(ψ1(t)t	LAW
ma-17	336	3	ω	ORDINAL
ma-17	337	1	4.1)is	CARDINAL
ma-17	337	2	1.2	CARDINAL
ma-17	339	1	0	CARDINAL
ma-17	340	1	1	CARDINAL
ma-17	340	2	4.2	CARDINAL
ma-17	340	3	0 ≤	MONEY
ma-17	340	4	1	CARDINAL
ma-17	340	5	4.3)and	CARDINAL
ma-17	340	6	1	CARDINAL
ma-17	340	7	1	CARDINAL
ma-17	340	8	2	CARDINAL
ma-17	342	1	∩ω.(h2	GPE
ma-17	342	2	′(x∗)− a(x	PERSON
ma-17	343	1	− x∗‖	PERSON
ma-17	343	2	− x∗‖).(h3	PERSON
ma-17	343	3	1.2	CARDINAL
ma-17	343	4	4.1	CARDINAL
ma-17	344	1	x0 ∈	ORG
ma-17	344	2	u(x∗	PERSON
ma-17	348	1	4.1	CARDINAL
ma-17	348	2	4.2	CARDINAL
ma-17	349	1	1	CARDINAL
ma-17	349	2	− x∗‖	PERSON
ma-17	350	1	4.5	CARDINAL
ma-17	351	1	j. math	PERSON
ma-17	353	1	1 (	CARDINAL
ma-17	353	2	2021	CARDINAL
ma-17	353	3	80	DATE
ma-17	353	4	x0	PERSON
ma-17	353	5	first	ORDINAL
ma-17	353	6	1.2	CARDINAL
ma-17	353	7	wecan	NORP
ma-17	358	1	x0	ORG
ma-17	361	1	− x∗	PERSON
ma-17	362	1	4.6	CARDINAL
ma-17	362	2	4.1	CARDINAL
ma-17	362	3	4.4	CARDINAL
ma-17	362	4	1	CARDINAL
ma-17	362	5	4.5	CARDINAL
ma-17	362	6	4.6	CARDINAL
ma-17	362	7	1	CARDINAL
ma-17	362	8	θ)‖x0 − x∗‖)dθ‖x0	PERSON
ma-17	363	1	1−	CARDINAL
ma-17	365	1	− x∗‖	PERSON
ma-17	365	2	4.7	CARDINAL
ma-17	366	1	4.5	CARDINAL
ma-17	369	1	x0	ORG
ma-17	372	1	′(x0)−	NORP
ma-17	373	1	4.8	CARDINAL
ma-17	373	2	4.1	CARDINAL
ma-17	373	3	4.4	CARDINAL
ma-17	373	4	2	CARDINAL
ma-17	373	5	4.7	CARDINAL
ma-17	373	6	4.8	CARDINAL
ma-17	373	7	− x∗‖ ≤	PERSON
ma-17	374	1	− x∗‖	PERSON
ma-17	375	1	− x∗‖	PERSON
ma-17	375	2	− x∗‖	PERSON
ma-17	376	1	1	CARDINAL
ma-17	379	1	− x∗‖	PERSON
ma-17	382	1	x∗‖ ≤ ‖x0	GPE
ma-17	383	1	− x∗‖	PERSON
ma-17	383	2	4.9	CARDINAL
ma-17	384	1	switch x0	PERSON
ma-17	384	2	xm	ORG
ma-17	384	3	xm+1	PERSON
ma-17	388	1	− x∗‖ ≤ ψ2(‖xm − x∗‖)‖xm	PERSON
ma-17	390	1	x∗‖ ≤	GPE
ma-17	391	1	− x∗‖ ≤	PERSON
ma-17	392	1	− x∗‖	PERSON
ma-17	392	2	− x∗‖	PERSON
ma-17	393	1	0	CARDINAL
ma-17	393	2	1	CARDINAL
ma-17	393	3	limm−→∞	DATE
ma-17	393	4	xm	ORG
ma-17	393	5	xm+1 ∈	PERSON
ma-17	393	6	u(x∗	PERSON
ma-17	396	1	j. math	PERSON
ma-17	398	1	1 (	CARDINAL
ma-17	398	2	2021	CARDINAL
ma-17	398	3	81	CARDINAL
ma-17	398	4	4.2	CARDINAL
ma-17	400	1	1	CARDINAL
ma-17	400	2	1	CARDINAL
ma-17	401	1	4.13	CARDINAL
ma-17	402	1	0	CARDINAL
ma-17	403	1	x̃ ∈	ORG
ma-17	403	2	x̃	ORG
ma-17	404	1	0	CARDINAL
ma-17	406	1	1	CARDINAL
ma-17	406	2	′(x∗+	DATE
ma-17	409	1	1	CARDINAL
ma-17	410	1	1	CARDINAL
ma-17	410	2	1	CARDINAL
ma-17	410	3	x̃	ORG
ma-17	411	1	x̃)−	ORG
ma-17	413	1	0	CARDINAL
ma-17	413	2	5	CARDINAL
ma-17	415	1	5.1	CARDINAL
ma-17	417	1	ξ0t + ξ1 +	DATE
ma-17	417	2	x0	ORG
ma-17	417	3	0	CARDINAL
ma-17	417	4	0	CARDINAL
ma-17	417	5	1	DATE
ma-17	417	6	2	CARDINAL
ma-17	417	7	3	CARDINAL
ma-17	419	1	l0	ORG
ma-17	422	1	5.2	CARDINAL
ma-17	423	1	1	CARDINAL
ma-17	423	2	ω	CARDINAL
ma-17	423	3	1	CARDINAL
ma-17	424	1	16	CARDINAL
ma-17	425	1	0	CARDINAL
ma-17	425	2	1	CARDINAL
ma-17	425	3	1	CARDINAL
ma-17	425	4	′′	ORG
ma-17	425	5	− σς2	PERSON
ma-17	425	6	hammerstein	PERSON
ma-17	427	1	1	CARDINAL
ma-17	427	2	q(s	GPE
ma-17	427	3	+ σς2(t))dt	DATE
ma-17	427	4	σ	ORG
ma-17	430	1	q(s	GPE
ma-17	432	1	j. math	PERSON
ma-17	434	1	1 (	CARDINAL
ma-17	434	2	2021	CARDINAL
ma-17	434	3	82	CARDINAL
ma-17	434	4	ς0(s	PERSON
ma-17	434	5	ω	CARDINAL
ma-17	436	1	ρ0 + 1	DATE
ma-17	436	2	1	CARDINAL
ma-17	436	3	2σ	CARDINAL
ma-17	436	4	5	CARDINAL
ma-17	437	1	2σ	CARDINAL
ma-17	439	1	1+σ 5−2σ	DATE
ma-17	440	1	l0	NORP
ma-17	440	2	two	CARDINAL
ma-17	440	3	traub	PERSON
ma-17	440	4	1.3	CARDINAL
ma-17	441	1	a(x	PERSON
ma-17	442	1	h(s	PERSON
ma-17	442	2	0	CARDINAL
ma-17	442	3	5.3	CARDINAL
ma-17	443	1	1)v2 + 1	DATE
ma-17	443	2	1	CARDINAL
ma-17	445	1	g1	ORG
ma-17	446	1	ū(0	CARDINAL
ma-17	446	2	1	CARDINAL
ma-17	446	3	0	CARDINAL
ma-17	446	4	0	DATE
ma-17	448	1	1	CARDINAL
ma-17	450	1	0	CARDINAL
ma-17	451	1	0	CARDINAL
ma-17	451	2	0 1 	DATE
ma-17	452	1	1)t	CARDINAL
ma-17	453	1	1	CARDINAL
ma-17	453	2	e−1	ORG
ma-17	453	3	k = e	PERSON
ma-17	453	4	29,35	CARDINAL
ma-17	454	1	0.3827	CARDINAL
ma-17	455	1	2 2(e	CARDINAL
ma-17	455	2	1	CARDINAL
ma-17	455	3	e−1	ORG
ma-17	456	1	0.3061	CARDINAL
ma-17	457	1	2 3k	CARDINAL
ma-17	457	2	0.2453	CARDINAL
ma-17	457	3	5.4	CARDINAL
ma-17	458	1	1	CARDINAL
ma-17	458	2	ω	CARDINAL
ma-17	458	3	1	CARDINAL
ma-17	458	4	q(ς)(x	PERSON
ma-17	459	1	1	CARDINAL
ma-17	460	1	5.1	CARDINAL
ma-17	460	2	15	CARDINAL
ma-17	461	1	xθς(θ)2ξ(θ)dθ	PERSON
ma-17	461	2	∈	ORG
ma-17	461	3	7.5	CARDINAL
ma-17	461	4	ψ(t	FAC
ma-17	461	5	15	CARDINAL
ma-17	461	6	15	CARDINAL
ma-17	462	1	15	CARDINAL
ma-17	463	1	0.0667	CARDINAL
ma-17	463	2	2 2(7.5	CARDINAL
ma-17	464	1	+ 15	DATE
ma-17	464	2	0.0290	CARDINAL
ma-17	464	3	2 3k	CARDINAL
ma-17	464	4	0.0444	CARDINAL
ma-17	464	5	two	CARDINAL
ma-17	466	1	j. math	PERSON
ma-17	468	1	1 (	CARDINAL
ma-17	468	2	2021	CARDINAL
ma-17	468	3	836	CARDINAL
ma-17	472	1	condition.our	TIME
ma-17	473	1	1	CARDINAL
ma-17	473	2	the newton kantorovich hypothesis	ORG
ma-17	473	3	j. comput	PERSON
ma-17	475	1	169	CARDINAL
ma-17	475	2	2004	DATE
ma-17	475	3	315	CARDINAL
ma-17	476	1	15	CARDINAL
ma-17	476	2	c.k. chui	ORG
ma-17	476	3	l. wuytack	PERSON
ma-17	477	1	new york	GPE
ma-17	477	2	2007.[3	CARDINAL
ma-17	477	3	newton	GPE
ma-17	477	4	springer verlag	PERSON
ma-17	477	5	berlin	GPE
ma-17	477	6	germany	GPE
ma-17	477	7	2008	DATE
ma-17	477	8	s. hilout	PERSON
ma-17	477	9	newton	GPE
ma-17	478	1	j. complex	PERSON
ma-17	479	1	28	CARDINAL
ma-17	479	2	2012	DATE
ma-17	479	3	364–387	CARDINAL
ma-17	479	4	s. hilout	PERSON
ma-17	479	5	newton	ORG
ma-17	480	1	comput	PERSON
ma-17	481	1	225	CARDINAL
ma-17	481	2	2013),372-386	DATE
ma-17	481	3	a.a. magréñan	GPE
ma-17	481	4	crc press	ORG
ma-17	481	5	new york	GPE
ma-17	481	6	a.a. magréñan	GPE
ma-17	481	7	press),new york	GPE
ma-17	481	8	2018	DATE
ma-17	481	9	https://www.elsevier.com/books/a-contemporary-study-of-iterative-methods/ magrenan/978	GPE
ma-17	481	10	0	CARDINAL
ma-17	481	11	r. behl	PERSON
ma-17	481	12	p. maroju	PERSON
ma-17	481	13	e. martinez	PERSON
ma-17	481	14	s. singh	PERSON
ma-17	481	15	fifth	ORDINAL
ma-17	483	1	51	CARDINAL
ma-17	483	2	2020	DATE
ma-17	483	3	439	CARDINAL
ma-17	483	4	e. cătinaş	PERSON
ma-17	484	1	2005	DATE
ma-17	484	2	291-301	CARDINAL
ma-17	484	3	https://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.96.1713&rep=rep1&	ORG
ma-17	484	4	x. chen	PERSON
ma-17	484	5	t. yamamoto	PERSON
ma-17	485	1	optim	PERSON
ma-17	486	1	10 (1989	DATE
ma-17	486	2	37	CARDINAL
ma-17	486	3	dennis jr.	PERSON
ma-17	486	4	newton	GPE
ma-17	488	1	11	CARDINAL
ma-17	488	2	1968	DATE
ma-17	488	3	324–330	CARDINAL
ma-17	488	4	dennis jr.	PERSON
ma-17	488	5	siam	GPE
ma-17	488	6	philadelphia	GPE
ma-17	488	7	1996	DATE
ma-17	489	1	first	ORDINAL
ma-17	489	2	prentice-hall	ORG
ma-17	489	3	englewood cliffs	GPE
ma-17	489	4	new jersey	GPE
ma-17	489	5	1983	DATE
ma-17	489	6	g. heindl	PERSON
ma-17	489	7	affine invariant convergence theorems	ORG
ma-17	489	8	newton	ORG
ma-17	490	1	j. numer	PERSON
ma-17	492	1	16 (1979	DATE
ma-17	492	2	1-10	CARDINAL
ma-17	493	1	https://doi.org/10.1007/978-0-387-72743-1	PERSON
ma-17	494	1	https://www.elsevier.com/books/a-contemporary-study-of-iterative-methods/magrenan/978-0-12-809214-9 https://www.elsevier.com/books/a-contemporary-study-of-iterative-methods/magrenan/978-0-12-809214-9	ORG
ma-17	494	2	https://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.96.1713&rep=rep1&type=pdf https://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.96.1713&rep=rep1&type=pdf https://doi.org/10.1080/01630568908816289 https://doi.org/10.1007/bf02166685	ORG
ma-17	495	1	j. math	PERSON
ma-17	497	1	1 (	CARDINAL
ma-17	497	2	2021	CARDINAL
ma-17	498	1	84	CARDINAL
ma-17	499	1	14	CARDINAL
ma-17	499	2	newton	ORG
ma-17	500	1	affine invariance	ORG
ma-17	500	2	35	DATE
ma-17	500	3	springer verlag	PERSON
ma-17	500	4	berlin	GPE
ma-17	501	1	2004	DATE
ma-17	501	2	s. erden	PERSON
ma-17	501	3	h. budak	PERSON
ma-17	501	4	m.z. sarikaya	ORG
ma-17	501	5	bounded variaton withtwo variables	ORG
ma-17	502	1	21	DATE
ma-17	502	2	2020	DATE
ma-17	502	3	171-188	CARDINAL
ma-17	503	1	https://doi.org/10.18514/mmn.2020.3076.[16	NORP
ma-17	503	2	j. a. ezquerro	PERSON
ma-17	503	3	m. a. hernandez	PERSON
ma-17	503	4	newton	GPE
ma-17	503	5	kantorovich	PERSON
ma-17	503	6	cham switzer-land	PERSON
ma-17	503	7	2018	DATE
ma-17	503	8	m. grau-sánchez	PERSON
ma-17	503	9	grau	PERSON
ma-17	503	10	m. noguera	PERSON
ma-17	504	1	comput	PERSON
ma-17	505	1	281	CARDINAL
ma-17	505	2	2011	DATE
ma-17	505	3	2377	CARDINAL
ma-17	505	4	https://doi.org/10.1016/j.amc.2011.08.011.[18	NORP
ma-17	505	5	j.m. gutiérrez	PERSON
ma-17	505	6	magreñán	ORG
ma-17	505	7	n. romero	PERSON
ma-17	505	8	newton-kantorovich	ORG
ma-17	506	1	comput	PERSON
ma-17	507	1	221	CARDINAL
ma-17	507	2	2013	DATE
ma-17	507	3	79-88	DATE
ma-17	507	4	https://doi.org/10.1016/j.amc.2013	PERSON
ma-17	508	1	hernandez	PERSON
ma-17	508	2	n. romero	PERSON
ma-17	508	3	newton	ORG
ma-17	508	4	at least three	CARDINAL
ma-17	510	1	183	CARDINAL
ma-17	510	2	53	CARDINAL
ma-17	510	3	g.p. akilov	PERSON
ma-17	510	4	pergamon press	ORG
ma-17	510	5	oxford	NORP
ma-17	510	6	1982).[21	CARDINAL
ma-17	510	7	magréñan	GPE
ma-17	510	8	i.k. argyros	GPE
ma-17	510	9	j.j. rainer	PERSON
ma-17	510	10	j.a. sicilia	PERSON
ma-17	510	11	sixth	ORDINAL
ma-17	510	12	newton	ORG
ma-17	512	1	56	CARDINAL
ma-17	512	2	2018	DATE
ma-17	512	3	2117-2131	DATE
ma-17	512	4	018-0856-y.[22	CARDINAL
ma-17	512	5	magréñan	GPE
ma-17	512	6	j.m. gutiérrez	GPE
ma-17	512	7	newton	GPE
ma-17	512	8	j. comput.appl	PERSON
ma-17	513	1	275	CARDINAL
ma-17	513	2	2015	CARDINAL
ma-17	513	3	527–538	CARDINAL
ma-17	513	4	m.z. nashed	PERSON
ma-17	513	5	x. chen	PERSON
ma-17	513	6	newton	GPE
ma-17	513	7	numer	ORG
ma-17	514	1	66	CARDINAL
ma-17	514	2	1993	DATE
ma-17	514	3	235-257	CARDINAL
ma-17	515	1	ortega	PERSON
ma-17	515	2	w.c.	PERSON
ma-17	515	3	rheinboldt	GPE
ma-17	515	4	new york	GPE
ma-17	515	5	1970	DATE
ma-17	515	6	a. m. ostrowski	PERSON
ma-17	515	7	1973.[26	CARDINAL
ma-17	516	1	103	CARDINAL
ma-17	517	1	boston	GPE
ma-17	517	2	ma	GPE
ma-17	517	3	1984	DATE
ma-17	518	1	proinov	GPE
ma-17	519	1	25	CARDINAL
ma-17	519	2	2009	DATE
ma-17	519	3	38	CARDINAL
ma-17	519	4	parabolic herz spaces	ORG
ma-17	520	1	lett	PERSON
ma-17	521	1	25	DATE
ma-17	521	2	2012	DATE
ma-17	521	3	1270-1273	DATE
ma-17	521	4	rheinboldt	GPE
ma-17	522	1	polish academy ofscience	ORG
ma-17	522	2	ctr	GPE
ma-17	523	1	3 (1978	DATE
ma-17	523	2	129	CARDINAL
ma-17	523	3	shakhno	ORG
ma-17	523	4	o.p.	GPE
ma-17	523	5	1.839	CARDINAL
ma-17	524	1	161	CARDINAL
ma-17	524	2	2005	DATE
ma-17	524	3	253	CARDINAL
ma-17	524	4	r.p.	GPE
ma-17	524	5	iakymchuk	GPE
ma-17	524	6	h.p. yarmola	GPE
ma-17	524	7	two	CARDINAL
ma-17	524	8	nonlin	GPE
ma-17	524	9	j. numer	PERSON
ma-17	525	1	128	CARDINAL
ma-17	525	2	2018	DATE
ma-17	525	3	82	CARDINAL
ma-17	526	1	r.k. guha	PERSON
ma-17	526	2	r. sharma	PERSON
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ma-17	526	4	newton	ORG
ma-17	528	1	62	CARDINAL
ma-17	528	2	2013	DATE
ma-17	528	3	307	CARDINAL
ma-17	528	4	f. soleymani	PERSON
ma-17	528	5	t. lotfi	ORG
ma-17	528	6	p. bakhtiari	PERSON
ma-17	530	1	lett	PERSON
ma-17	531	1	1001-1015	DATE
ma-17	532	1	https://doi.org/10.1016/j.amc.2013.05.078 https://doi.org/10.1016/j.amc.2013.05.078 https://doi.org/10.1016/j.cam.2005.01.001	PERSON
ma-17	532	2	018-0856	CARDINAL
ma-17	532	3	018-0856	CARDINAL
ma-17	532	4	https://www.elsevier.com/books/iterative-solution-of-nonlinear-equations-in-several-variables/ortega/978-0-12-528550-6 https://www.elsevier.com/books/iterative-solution-of-nonlinear-equations-in-several-variables/ortega/978-0-12-528550-6	PERSON
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ma-17	535	1	1 (	CARDINAL
ma-17	535	2	2021	CARDINAL
ma-17	536	1	34	CARDINAL
ma-17	537	1	skand aktuar	ORG
ma-17	538	1	16 (1993	DATE
ma-17	538	2	64	CARDINAL
ma-17	538	3	prentice hall	ORG
ma-17	538	4	new jersey	GPE
ma-17	538	5	u.s.a	GPE
ma-17	538	6	1964	DATE
ma-17	538	7	org/10.1017	NORP
ma-17	538	8	a.g. werschulz	GPE
ma-17	538	9	lezioni lince.[lincei	PERSON
ma-17	538	10	cambridge university press	ORG
ma-17	538	11	cambridge	GPE
ma-17	538	12	1998	DATE
ma-17	538	13	wozniakowski	GPE
ma-17	540	1	1 (2002	DATE
ma-17	540	2	356	CARDINAL
ma-17	540	3	t. yamamoto	PERSON
ma-17	540	4	newton	GPE
ma-17	542	1	51	CARDINAL
ma-17	542	2	1987	DATE
ma-17	542	3	545-557	CARDINAL
ma-17	542	4	r. verma	PERSON
ma-17	542	5	new york	GPE
ma-17	542	6	2019).[40	CARDINAL
ma-17	542	7	l. xu	PERSON
ma-17	543	1	chu	PERSON
ma-17	543	2	s. rashid	PERSON
ma-17	543	3	a.a. el-deeb	GPE
ma-17	543	4	k.s. nisar	PERSON
ma-17	543	5	j. funct	PERSON
ma-17	544	1	2020	DATE
ma-17	544	2	2020	DATE
ma-17	544	3	4984612	DATE
ma-17	544	4	d.f. nguen	GPE
ma-17	544	5	newton-kantorovich	ORG
ma-17	544	6	numer	ORG
ma-17	544	7	funct	PERSON
ma-17	546	1	optim	PERSON
ma-17	547	1	9 (	CARDINAL
ma-17	547	2	1987	DATE
ma-17	547	3	671-684	CARDINAL
ma-17	549	1	2	CARDINAL
ma-17	549	2	3	CARDINAL
ma-17	549	3	4	CARDINAL
ma-17	549	4	5	CARDINAL
ma-17	550	1	6	CARDINAL