id	sid	eid	entity	type
ma-154	1	1	2023	CARDINAL
ma-154	2	1	j. math	PERSON
ma-154	4	1	3 (	CARDINAL
ma-154	4	2	2023	CARDINAL
ma-154	4	3	15doi	CARDINAL
ma-154	4	4	10.28924	CARDINAL
ma-154	4	5	newton-kantorovich	ORG
ma-154	4	6	samundra regmi1	PERSON
ma-154	4	7	ioannis k. argyros2,∗	PERSON
ma-154	4	8	santhosh george3	PERSON
ma-154	4	9	michael i. argyros4	PERSON
ma-154	5	1	university of houston	ORG
ma-154	5	2	houston	GPE
ma-154	5	3	tx	GPE
ma-154	5	4	77204	DATE
ma-154	5	5	2department	TIME
ma-154	5	6	cameron university	ORG
ma-154	5	7	lawton	GPE
ma-154	6	1	3department	CARDINAL
ma-154	6	2	national institute of technology karnataka	ORG
ma-154	6	3	025	CARDINAL
ma-154	6	4	university of oklahoma	ORG
ma-154	6	5	norman	GPE
ma-154	6	6	73019	DATE
ma-154	6	7	ok,	ORG
ma-154	7	1	newton	GPE
ma-154	13	1	stirling	GPE
ma-154	13	2	newton	GPE
ma-154	15	1	1	CARDINAL
ma-154	15	2	∈ ω	ORG
ma-154	15	3	0	CARDINAL
ma-154	15	4	1.1	CARDINAL
ma-154	15	5	26	CARDINAL
ma-154	17	1	newton-kantorovich	ORG
ma-154	17	2	space.1	ORG
ma-154	17	3	https://adac.ee https://doi.org/10.28924/ada/ma.3.15 eur	PERSON
ma-154	18	1	j. math	PERSON
ma-154	20	1	10.28924	CARDINAL
ma-154	20	2	2where	CARDINAL
ma-154	20	3	ω −→ e2	ORG
ma-154	20	4	ω ⊂ e1	ORG
ma-154	22	1	1.1	CARDINAL
ma-154	24	1	newton	ORG
ma-154	24	2	0	CARDINAL
ma-154	24	3	1	DATE
ma-154	24	4	2	CARDINAL
ma-154	26	1	1.2)kantorovich	CARDINAL
ma-154	27	1	two	CARDINAL
ma-154	27	2	15	CARDINAL
ma-154	28	1	newton-kantorovich	ORG
ma-154	28	2	1–16	CARDINAL
ma-154	29	1	butthe convergence criteria	PERSON
ma-154	33	1	2	CARDINAL
ma-154	33	2	0	CARDINAL
ma-154	33	3	x0 ∈ ω	ORG
ma-154	35	1	0.some	CARDINAL
ma-154	36	1	2.1	CARDINAL
ma-154	37	1	ω	ORG
ma-154	37	2	0	CARDINAL
ma-154	38	1	′(x0)‖	ORG
ma-154	39	1	2.1	CARDINAL
ma-154	41	1	2.2	CARDINAL
ma-154	41	2	2.2	CARDINAL
ma-154	42	1	1−restricted	CARDINAL
ma-154	42	2	2.3	CARDINAL
ma-154	44	1	j. math	PERSON
ma-154	46	1	10.28924	CARDINAL
ma-154	46	2	3	CARDINAL
ma-154	46	3	2.3	CARDINAL
ma-154	47	1	0	CARDINAL
ma-154	49	1	2.4	CARDINAL
ma-154	49	2	2.4	CARDINAL
ma-154	50	1	ω	ORG
ma-154	50	2	0	CARDINAL
ma-154	51	1	∈ ω	ORG
ma-154	52	1	2.5	CARDINAL
ma-154	52	2	2.5	CARDINAL
ma-154	53	1	2.6	CARDINAL
ma-154	53	2	1 αl0	CARDINAL
ma-154	55	1	− x0‖	PERSON
ma-154	56	1	2.7	CARDINAL
ma-154	56	2	3−	DATE
ma-154	56	3	0	CARDINAL
ma-154	57	1	2.8	CARDINAL
ma-154	57	2	2.6	CARDINAL
ma-154	58	1	2.9	CARDINAL
ma-154	58	2	ω1 ⊆	CARDINAL
ma-154	59	1	2.10	CARDINAL
ma-154	60	1	x0‖	CARDINAL
ma-154	61	1	− x1‖+	PERSON
ma-154	62	1	x0‖	CARDINAL
ma-154	64	1	x0‖	CARDINAL
ma-154	65	1	2.9	CARDINAL
ma-154	65	2	2.10	CARDINAL
ma-154	65	3	2.1-2.5	CARDINAL
ma-154	65	4	2.11	CARDINAL
ma-154	65	5	2.12	CARDINAL
ma-154	65	6	k ≤ l.	ORG
ma-154	65	7	2.13	CARDINAL
ma-154	65	8	newton	GPE
ma-154	66	1	l0(f ′,ω	PERSON
ma-154	68	1	k = k(f	PERSON
ma-154	71	1	j. math	PERSON
ma-154	73	1	10.28924	CARDINAL
ma-154	73	2	4	CARDINAL
ma-154	75	1	x0	ORG
ma-154	76	1	2.1	CARDINAL
ma-154	77	1	1− αl0‖u	QUANTITY
ma-154	77	2	x0‖	ORG
ma-154	78	1	2.14	CARDINAL
ma-154	78	2	2.5	CARDINAL
ma-154	80	1	x0‖	ORG
ma-154	81	1	2.15	CARDINAL
ma-154	82	1	2.16	CARDINAL
ma-154	83	1	l0	NORP
ma-154	83	2	k.	PERSON
ma-154	83	3	two	CARDINAL
ma-154	83	4	newton	GPE
ma-154	84	1	0	CARDINAL
ma-154	84	2	− sn = − p(sn	PERSON
ma-154	84	3	− sn−1)2	PERSON
ma-154	84	4	1− l0αsn	DATE
ma-154	85	1	k 2 s2	PERSON
ma-154	85	2	p0(s	PERSON
ma-154	85	3	2	CARDINAL
ma-154	86	1	2.7	CARDINAL
ma-154	87	1	newton-kantorovich	ORG
ma-154	87	2	1,2,10,12,13,15,16	CARDINAL
ma-154	87	3	2.1	CARDINAL
ma-154	87	4	2.6)-(2.8	CARDINAL
ma-154	88	1	1 2	CARDINAL
ma-154	89	1	2.17	CARDINAL
ma-154	89	2	newton	ORG
ma-154	89	3	1.2	CARDINAL
ma-154	89	4	x0 ∈ ω	ORG
ma-154	89	5	⊆	CARDINAL
ma-154	89	6	b(x0	WORK_OF_ART
ma-154	90	1	b[x0	ORG
ma-154	91	1	− sn	PERSON
ma-154	91	2	2.18	CARDINAL
ma-154	92	1	2.19	CARDINAL
ma-154	92	2	limn−→∞ sn =	PERSON
ma-154	92	3	1− √ 1−2h	DATE
ma-154	92	4	1+ √ 1−2h	DATE
ma-154	93	1	s∗∗	ORG
ma-154	93	2	− sn	PERSON
ma-154	93	3	1 2n	CARDINAL
ma-154	94	1	j. math	PERSON
ma-154	96	1	10.28924	CARDINAL
ma-154	96	2	5	CARDINAL
ma-154	96	3	0	CARDINAL
ma-154	96	4	b[x0	ORG
ma-154	96	5	2	CARDINAL
ma-154	96	6	2	CARDINAL
ma-154	97	1	2.14	CARDINAL
ma-154	97	2	2.15	CARDINAL
ma-154	97	3	10	CARDINAL
ma-154	97	4	3–9,14–16	CARDINAL
ma-154	98	1	2.8	CARDINAL
ma-154	99	1	2.7	CARDINAL
ma-154	99	2	one	CARDINAL
ma-154	99	3	newton	GPE
ma-154	99	4	hk = l2αλ ≤ 1 2	ORG
ma-154	99	5	2.20	CARDINAL
ma-154	99	6	0	CARDINAL
ma-154	100	1	1− l2αtn	DATE
ma-154	100	2	2	CARDINAL
ma-154	102	1	limn−→∞ tn =	PERSON
ma-154	102	2	1− √ 1−2kk	DATE
ma-154	103	1	1+ √ 1−2kk	QUANTITY
ma-154	103	2	2	CARDINAL
ma-154	103	3	1 2n	CARDINAL
ma-154	103	4	2.11)-(2.13	CARDINAL
ma-154	104	1	2.21	CARDINAL
ma-154	104	2	2.22	CARDINAL
ma-154	104	3	0	CARDINAL
ma-154	105	1	− sn ≤ tn+1 − tn	PERSON
ma-154	105	2	2.23	CARDINAL
ma-154	105	3	0 ≤	MONEY
ma-154	106	1	2.24	CARDINAL
ma-154	106	2	2.21)-(2.24	DATE
ma-154	107	1	2(1−	DATE
ma-154	107	2	2(1−	CARDINAL
ma-154	108	1	1 2	CARDINAL
ma-154	108	2	2.25	CARDINAL
ma-154	109	1	j. math	PERSON
ma-154	111	1	10.28924	CARDINAL
ma-154	111	2	6	CARDINAL
ma-154	111	3	1	CARDINAL
ma-154	112	1	4	CARDINAL
ma-154	113	1	2.26	CARDINAL
ma-154	113	2	2.25	CARDINAL
ma-154	113	3	2.17	CARDINAL
ma-154	113	4	2.7	CARDINAL
ma-154	114	1	0	CARDINAL
ma-154	114	2	− x0))−	PERSON
ma-154	117	1	2.27	CARDINAL
ma-154	117	2	2.28	CARDINAL
ma-154	118	1	0	CARDINAL
ma-154	118	2	1	CARDINAL
ma-154	119	1	5	CARDINAL
ma-154	119	2	2(1− bαq1	PERSON
ma-154	120	1	2(1−	CARDINAL
ma-154	121	1	2c ≤ 1 2	MONEY
ma-154	121	2	2.29	CARDINAL
ma-154	122	1	+ 2dl0(a	CARDINAL
ma-154	123	1	4d	CARDINAL
ma-154	123	2	2k	CARDINAL
ma-154	124	1		ORG
ma-154	124	2	1 l0+b	TIME
ma-154	125	1	+ 2dl0(a	CARDINAL
ma-154	125	2	2b	CARDINAL
ma-154	125	3	0positive	CARDINAL
ma-154	126	1	+ 2dl0(a	CARDINAL
ma-154	126	2	2b	CARDINAL
ma-154	127	1	0smaller	CARDINAL
ma-154	128	1	+ 2dl0(a	CARDINAL
ma-154	128	2	2b	CARDINAL
ma-154	131	1	2.29	CARDINAL
ma-154	131	2	4	CARDINAL
ma-154	132	1	2.29	CARDINAL
ma-154	132	2	2.17	CARDINAL
ma-154	132	3	2.7	CARDINAL
ma-154	133	1	1	CARDINAL
ma-154	133	2	2.30	CARDINAL
ma-154	133	3	0 ≤	MONEY
ma-154	133	4	sn ≤ sn+1	ORG
ma-154	133	5	limn−→∞ sn =	PERSON
ma-154	134	1	2.30	CARDINAL
ma-154	134	2	2.7	CARDINAL
ma-154	136	1	j. math	PERSON
ma-154	138	1	10.28924	CARDINAL
ma-154	138	2	73	CARDINAL
ma-154	140	1	3.1	CARDINAL
ma-154	140	2	ω	CARDINAL
ma-154	140	3	b[x0	ORG
ma-154	140	4	1−	PRODUCT
ma-154	140	5	x0	CARDINAL
ma-154	141	1	1	CARDINAL
ma-154	141	2	0	CARDINAL
ma-154	141	3	12	CARDINAL
ma-154	142	1	1−δ 3	DATE
ma-154	142	2	1 3	DATE
ma-154	142	3	3(3	CARDINAL
ma-154	142	4	6(2	CARDINAL
ma-154	142	5	− δ	PERSON
ma-154	143	1	6(1	CARDINAL
ma-154	145	1	3	CARDINAL
ma-154	145	2	5	CARDINAL
ma-154	145	3	4−δ	CARDINAL
ma-154	145	4	3+δ	CARDINAL
ma-154	145	5	3	CARDINAL
ma-154	145	6	4−δ	CARDINAL
ma-154	145	7	3−δ	CARDINAL
ma-154	145	8	2	CARDINAL
ma-154	145	9	+ 5	DATE
ma-154	145	10	3h2	MONEY
ma-154	146	1	3 + 3−(1−δ)(3−δ	CARDINAL
ma-154	147	1	0	CARDINAL
ma-154	147	2	12	DATE
ma-154	147	3	2.20	CARDINAL
ma-154	147	4	2.17	CARDINAL
ma-154	147	5	2.25	CARDINAL
ma-154	147	6	2.29	CARDINAL
ma-154	148	1	0.0751	CARDINAL
ma-154	148	2	0.5	CARDINAL
ma-154	148	3	m3	CARDINAL
ma-154	148	4	0.1320	CARDINAL
ma-154	148	5	0.5	CARDINAL
ma-154	148	6	0.3967	CARDINAL
ma-154	148	7	0.5	CARDINAL
ma-154	149	1	newton-kantorovich	ORG
ma-154	149	2	2.20	CARDINAL
ma-154	149	3	1	CARDINAL
ma-154	149	4	second	ORDINAL
ma-154	149	5	1	CARDINAL
ma-154	149	6	2	CARDINAL
ma-154	149	7	10,12,13	CARDINAL
ma-154	150	1	3.2	CARDINAL
ma-154	151	1	1	CARDINAL
ma-154	152	1	ω	CARDINAL
ma-154	152	2	3	CARDINAL
ma-154	153	1	hammerstein	PERSON
ma-154	153	2	ω	ORDINAL
ma-154	153	3	m(z)(w	ORG
ma-154	154	1	z(w)− y(w)−	PERSON
ma-154	154	2	1	CARDINAL
ma-154	154	3	3.1	CARDINAL
ma-154	155	1	0	CARDINAL
ma-154	155	2	1	CARDINAL
ma-154	155	3	∈	PRODUCT
ma-154	155	4	1	CARDINAL
ma-154	155	5	1	CARDINAL
ma-154	155	6	w	GPE
ma-154	155	7	1−	LANGUAGE
ma-154	156	1	3.2	CARDINAL
ma-154	157	1	3	CARDINAL
ma-154	157	2	1	CARDINAL
ma-154	157	3	u)v2(t)z(t)dt	PRODUCT
ma-154	157	4	3.3	CARDINAL
ma-154	158	1	0	CARDINAL
ma-154	158	2	1	CARDINAL
ma-154	158	3	∈	PRODUCT
ma-154	158	4	1	CARDINAL
ma-154	161	1	1	CARDINAL
ma-154	161	2	3.1)-(3.3	CARDINAL
ma-154	161	3	′(x0)−1 ∈	PERSON
ma-154	162	1	′(x0)‖	ORG
ma-154	162	2	3 8	DATE
ma-154	163	1	1 5	DATE
ma-154	163	2	12 5	DATE
ma-154	163	3	18 5	DATE
ma-154	163	4	3	CARDINAL
ma-154	163	5	512	CARDINAL
ma-154	163	6	512	CARDINAL
ma-154	163	7	3 2	DATE
ma-154	164	1	k = l	PERSON
ma-154	165	1	1 5	DATE
ma-154	165	2	144 125	CARDINAL
ma-154	165	3	1 2	CARDINAL
ma-154	166	1	newton	GPE
ma-154	166	2	1.2	CARDINAL
ma-154	167	1	dba	ORG
ma-154	167	2	1 5	DATE
ma-154	167	3	24 50	DATE
ma-154	167	4	1 2	CARDINAL
ma-154	168	1	2.7	CARDINAL
ma-154	170	1	j. math	PERSON
ma-154	172	1	10.28924	CARDINAL
ma-154	172	2	84	CARDINAL
ma-154	179	1	i. k. argyros	PERSON
ma-154	179	2	s. regmi	PERSON
ma-154	179	3	s. george	PERSON
ma-154	179	4	m.argyros	CARDINAL
ma-154	180	1	1	CARDINAL
ma-154	180	2	h.v. ngai	PERSON
ma-154	180	3	v.v. nguyen	PERSON
ma-154	180	4	newton	GPE
ma-154	180	5	kantorovich	PERSON
ma-154	183	1	439	CARDINAL
ma-154	183	2	2016	CARDINAL
ma-154	183	3	396	CARDINAL
ma-154	184	1	r. cibulka	PERSON
ma-154	184	2	h.v. ngai	PERSON
ma-154	184	3	newton	GPE
ma-154	184	4	siam	GPE
ma-154	185	1	25	CARDINAL
ma-154	185	2	2015	CARDINAL
ma-154	185	3	159	CARDINAL
ma-154	186	1	2021) 1942	DATE
ma-154	187	1	https://doi.org/10.3390/math9161942.[4	NORP
ma-154	187	2	i.k.	PERSON
ma-154	187	3	s. hilout	PERSON
ma-154	187	4	newton	GPE
ma-154	187	5	j. complex	PERSON
ma-154	188	1	28	CARDINAL
ma-154	188	2	2012	DATE
ma-154	188	3	364	CARDINAL
ma-154	188	4	s. hilout	PERSON
ma-154	188	5	newton	ORG
ma-154	190	1	225	CARDINAL
ma-154	190	2	2013)372	CARDINAL
ma-154	190	3	a.a. magréñan	GPE
ma-154	191	1	s. george	PERSON
ma-154	191	2	appli-cations	ORG
ma-154	191	3	nova	ORG
ma-154	191	4	ny	ORG
ma-154	191	5	2021.[8	CARDINAL
ma-154	191	6	r. behl	PERSON
ma-154	191	7	p. maroju	PERSON
ma-154	191	8	e. martinez	PERSON
ma-154	191	9	s. singh	PERSON
ma-154	191	10	fifth	ORDINAL
ma-154	191	11	indian	NORP
ma-154	193	1	51	CARDINAL
ma-154	193	2	2020	DATE
ma-154	193	3	439	CARDINAL
ma-154	194	1	p.g.	GPE
ma-154	194	2	ciarlet	GPE
ma-154	194	3	newton-kantorovich	ORG
ma-154	196	1	10	CARDINAL
ma-154	196	2	2012	DATE
ma-154	196	3	249	CARDINAL
ma-154	196	4	r. cibulka	PERSON
ma-154	196	5	a.l.	GPE
ma-154	196	6	dontchev	PERSON
ma-154	196	7	j. preininger	PERSON
ma-154	196	8	v. veliov	PERSON
ma-154	196	9	t. roubai	PERSON
ma-154	196	10	kantorovich	PERSON
ma-154	196	11	j. convex	PERSON
ma-154	197	1	25	CARDINAL
ma-154	197	2	2018	DATE
ma-154	197	3	459	CARDINAL
ma-154	198	1	m.a. hernandez	PERSON
ma-154	198	2	newton	GPE
ma-154	198	3	kantorovich	PERSON
ma-154	198	4	cham switzer-land	PERSON
ma-154	198	5	2018	DATE
ma-154	199	1	https://www.booksandcranniesva.com/book/9783319559759.[12]	ORG
ma-154	200	1	g.p. akilov	PERSON
ma-154	200	2	normed spaces	ORG
ma-154	200	3	new york	GPE
ma-154	200	4	magréñan	GPE
ma-154	200	5	j.m. gutiérrez	GPE
ma-154	200	6	newton	GPE
ma-154	202	1	275	CARDINAL
ma-154	202	2	2015	CARDINAL
ma-154	203	1	527–538	CARDINAL
ma-154	203	2	103	DATE
ma-154	203	3	pitman	GPE
ma-154	203	4	boston	GPE
ma-154	203	5	1984	DATE
ma-154	205	1	proinov	GPE
ma-154	205	2	newton-kantorovichtype	ORG
ma-154	205	3	j. complex	PERSON
ma-154	206	1	26	CARDINAL
ma-154	206	2	2010	DATE
ma-154	206	3	3	CARDINAL
ma-154	207	1	https://doi.org/10.1016/j.jco.2009.05.001	ORG
ma-154	208	1	https://doi.org/10.28924/ada/ma.3.15	PERSON
ma-154	209	1	math9161942 https://doi.org/10.1016/j.jco.2011.12.003	DATE
ma-154	210	1	https://www.booksandcranniesva.com/book/9783319559759 https://doi.org/10.1016/j.cam.2013.11.019 https://archive.org/details/nondiscreteinduc0000potr https://doi.org/10.1016/j.jco.2009.05.001	PRODUCT
ma-154	211	1	j. math	PERSON
ma-154	213	1	10.28924	CARDINAL
ma-154	213	2	9	CARDINAL
ma-154	214	1	16	CARDINAL
ma-154	214	2	r. verma	PERSON
ma-154	214	3	new york	GPE
ma-154	214	4	2019	DATE
ma-154	216	1	2	CARDINAL
ma-154	216	2	3	CARDINAL
ma-154	217	1	4	CARDINAL
