id	sid	eid	entity	type
ejpam-6173	1	1	european journal	ORG
ejpam-6173	1	2	2025	DATE
ejpam-6173	1	3	18	CARDINAL
ejpam-6173	1	4	3	CARDINAL
ejpam-6173	1	5	6173	CARDINAL
ejpam-6173	1	6	1307-5543	DATE
ejpam-6173	1	7	new york	GPE
ejpam-6173	1	8	vahid darvish1	PERSON
ejpam-6173	1	9	grace nnennaya ogwo2,∗	PERSON
ejpam-6173	1	10	ikramov6 1	ORG
ejpam-6173	1	11	nanjing university of information science	ORG
ejpam-6173	1	12	nanjing	GPE
ejpam-6173	1	13	2	CARDINAL
ejpam-6173	1	14	zhejiang	GPE
ejpam-6173	1	15	jinhua	GPE
ejpam-6173	1	16	321004	DATE
ejpam-6173	1	17	china 3	ORG
ejpam-6173	1	18	university of technology	ORG
ejpam-6173	1	19	arcadia	ORG
ejpam-6173	1	20	pretoria	GPE
ejpam-6173	1	21	south africa 4	GPE
ejpam-6173	1	22	saveetha institute of medical	ORG
ejpam-6173	1	23	saveetha university	ORG
ejpam-6173	1	24	602 105	CARDINAL
ejpam-6173	1	25	india	GPE
ejpam-6173	1	26	5	CARDINAL
ejpam-6173	1	27	sefako makgato health science university	ORG
ejpam-6173	1	28	94	CARDINAL
ejpam-6173	1	29	pretoria 0204	GPE
ejpam-6173	2	1	6center	CARDINAL
ejpam-6173	3	1	asia international university	ORG
ejpam-6173	3	2	74	DATE
ejpam-6173	3	3	bukhara	GPE
ejpam-6173	3	4	uzbekistan	GPE
ejpam-6173	8	1	2020	DATE
ejpam-6173	8	2	47h05	CARDINAL
ejpam-6173	8	3	47j05	DATE
ejpam-6173	8	4	49j25	CARDINAL
ejpam-6173	8	5	1	CARDINAL
ejpam-6173	8	6	e∗	ORG
ejpam-6173	9	1	e∗	GPE
ejpam-6173	9	2	nonlinear ∗corresponding	ORG
ejpam-6173	10	1	vdarvish@nuist.edu.cn	PERSON
ejpam-6173	10	2	darvish	WORK_OF_ART
ejpam-6173	10	3	graceogwo@zjnu.edu.cn	PERSON
ejpam-6173	10	4	g. n. ogwo	PERSON
ejpam-6173	10	5	o. k. oyewole	PERSON
ejpam-6173	10	6	hammedabass548@gmail.com,hammed.abass@smu.ac.za (h. a. abass	ORG
ejpam-6173	10	7	a. a. ikramov	PERSON
ejpam-6173	10	8	1	CARDINAL
ejpam-6173	11	1	2025	CARDINAL
ejpam-6173	13	1	j. pure	PERSON
ejpam-6173	13	2	18	CARDINAL
ejpam-6173	13	3	3	CARDINAL
ejpam-6173	13	4	2025	CARDINAL
ejpam-6173	13	5	6173 2	DATE
ejpam-6173	13	6	32	CARDINAL
ejpam-6173	13	7	φ	ORG
ejpam-6173	15	1	θ(x	ORG
ejpam-6173	16	1	y − x⟩+ φ(y	PERSON
ejpam-6173	16	2	∈	ORG
ejpam-6173	16	3	1.1	CARDINAL
ejpam-6173	16	4	1.1	CARDINAL
ejpam-6173	16	5	φ	PERSON
ejpam-6173	16	6	φ	PERSON
ejpam-6173	17	1	y − x⟩+ φ(y	PERSON
ejpam-6173	18	1	1.1	CARDINAL
ejpam-6173	19	1	1	CARDINAL
ejpam-6173	19	2	θ(x	ORG
ejpam-6173	19	3	∈	ORG
ejpam-6173	19	4	1.2	CARDINAL
ejpam-6173	19	5	1.2	CARDINAL
ejpam-6173	19	6	mep	ORG
ejpam-6173	20	1	φ	PERSON
ejpam-6173	20	2	1.1	CARDINAL
ejpam-6173	21	1	2	CARDINAL
ejpam-6173	21	2	θ(x	ORG
ejpam-6173	22	1	0	CARDINAL
ejpam-6173	22	2	∈	ORG
ejpam-6173	22	3	1.3	CARDINAL
ejpam-6173	22	4	1.3	CARDINAL
ejpam-6173	22	5	gep (θ	ORG
ejpam-6173	23	1	θ ≡	ORG
ejpam-6173	23	2	1.1	CARDINAL
ejpam-6173	23	3	browder	PERSON
ejpam-6173	23	4	mvi	PERSON
ejpam-6173	24	1	3	CARDINAL
ejpam-6173	24	2	y − x⟩+ φ(y	PERSON
ejpam-6173	24	3	∈	ORG
ejpam-6173	24	4	1.4	CARDINAL
ejpam-6173	24	5	1.4	CARDINAL
ejpam-6173	25	1	φ	ORG
ejpam-6173	25	2	1.1	CARDINAL
ejpam-6173	26	1	4	CARDINAL
ejpam-6173	26	2	θ(x	ORG
ejpam-6173	26	3	1.5	CARDINAL
ejpam-6173	26	4	1.5	CARDINAL
ejpam-6173	27	1	1.1	CARDINAL
ejpam-6173	27	2	1.2)-(1.5	CARDINAL
ejpam-6173	29	1	4	CARDINAL
ejpam-6173	30	1	5	CARDINAL
ejpam-6173	30	2	1994	DATE
ejpam-6173	32	1	ep	PERSON
ejpam-6173	32	2	4	CARDINAL
ejpam-6173	32	3	nash	PERSON
ejpam-6173	36	1	j. pure	PERSON
ejpam-6173	36	2	18	CARDINAL
ejpam-6173	36	3	3	CARDINAL
ejpam-6173	36	4	2025	CARDINAL
ejpam-6173	36	5	6173 3	DATE
ejpam-6173	36	6	32	DATE
ejpam-6173	36	7	θ(x	ORG
ejpam-6173	37	1	7→ θ(x	ORG
ejpam-6173	37	2	lim	PERSON
ejpam-6173	37	3	1−	ORDINAL
ejpam-6173	37	4	7→	CARDINAL
ejpam-6173	37	5	11	CARDINAL
ejpam-6173	38	1	1.1	CARDINAL
ejpam-6173	40	1	12	CARDINAL
ejpam-6173	40	2	1	CARDINAL
ejpam-6173	40	3	2	DATE
ejpam-6173	40	4	yinn cn	PERSON
ejpam-6173	42	1	x0	ORG
ejpam-6173	47	1	∈	ORG
ejpam-6173	47	2	tx	ORG
ejpam-6173	48	1	tx	ORG
ejpam-6173	50	1	13–17	CARDINAL
ejpam-6173	52	1	18	CARDINAL
ejpam-6173	53	1	1− αn)txn	TIME
ejpam-6173	53	2	n ≥ 1	DATE
ejpam-6173	53	3	0	CARDINAL
ejpam-6173	53	4	1	CARDINAL
ejpam-6173	54	1	ffp	ORG
ejpam-6173	55	1	∈	ORG
ejpam-6173	55	2	∩gmep(θ	ORG
ejpam-6173	55	3	φ	PERSON
ejpam-6173	58	1	darvish et al	PERSON
ejpam-6173	59	1	j. pure	PERSON
ejpam-6173	59	2	18	CARDINAL
ejpam-6173	59	3	3	CARDINAL
ejpam-6173	59	4	2025	CARDINAL
ejpam-6173	59	5	6173 4	DATE
ejpam-6173	59	6	takahashi	PERSON
ejpam-6173	59	7	takahashi	PERSON
ejpam-6173	60	1	22	CARDINAL
ejpam-6173	61	1	∈	ORG
ejpam-6173	61	2	zn	CARDINAL
ejpam-6173	61	3	∈	ORG
ejpam-6173	62	1	1	CARDINAL
ejpam-6173	62	2	− zn	PERSON
ejpam-6173	62	3	− xn⟩ ≥ 0	PERSON
ejpam-6173	66	1	1− βn)t	PRODUCT
ejpam-6173	66	2	1	CARDINAL
ejpam-6173	66	3	0	CARDINAL
ejpam-6173	66	4	1	CARDINAL
ejpam-6173	66	5	0	CARDINAL
ejpam-6173	66	6	1	CARDINAL
ejpam-6173	66	7	{rn} ⊂	ORG
ejpam-6173	69	1	23	CARDINAL
ejpam-6173	69	2	zeros	CARDINAL
ejpam-6173	74	1	0	CARDINAL
ejpam-6173	74	2	1	CARDINAL
ejpam-6173	79	1	24	CARDINAL
ejpam-6173	81	1	25–27	CARDINAL
ejpam-6173	85	1	section 2	LAW
ejpam-6173	86	1	section 3	LAW
ejpam-6173	87	1	section 4	LAW
ejpam-6173	88	1	section 5	LAW
ejpam-6173	89	1	section 6	LAW
ejpam-6173	90	1	darvish et al	PERSON
ejpam-6173	91	1	j. pure	PERSON
ejpam-6173	91	2	18	CARDINAL
ejpam-6173	91	3	3	CARDINAL
ejpam-6173	91	4	2025	CARDINAL
ejpam-6173	91	5	6173 5	DATE
ejpam-6173	91	6	32 2	CARDINAL
ejpam-6173	100	1	y − x⟩	PERSON
ejpam-6173	101	1	e∗	ORG
ejpam-6173	103	1	− f(x	PERSON
ejpam-6173	107	1	y ∈ e.	PERSON
ejpam-6173	107	2	fréchet	PRODUCT
ejpam-6173	107	3	1	CARDINAL
ejpam-6173	109	1	1	CARDINAL
ejpam-6173	111	1	fréchet differentiable	PERSON
ejpam-6173	112	1	28	CARDINAL
ejpam-6173	114	1	f(x)− f(y)−	PERSON
ejpam-6173	114	2	x−	PERSON
ejpam-6173	114	3	y ∈ int(dom(f	PERSON
ejpam-6173	114	4	2.1	CARDINAL
ejpam-6173	114	5	29	CARDINAL
ejpam-6173	115	1	1	CARDINAL
ejpam-6173	116	1	three	CARDINAL
ejpam-6173	117	1	x−	PERSON
ejpam-6173	117	2	2.2	CARDINAL
ejpam-6173	118	1	30	CARDINAL
ejpam-6173	118	2	four	CARDINAL
ejpam-6173	118	3	w ∈	PERSON
ejpam-6173	118	4	∈	ORG
ejpam-6173	120	1	w	ORG
ejpam-6173	120	2	2.3	CARDINAL
ejpam-6173	120	3	darvish et al	PERSON
ejpam-6173	121	1	j. pure	PERSON
ejpam-6173	121	2	18	CARDINAL
ejpam-6173	121	3	3	CARDINAL
ejpam-6173	121	4	2025	CARDINAL
ejpam-6173	121	5	6173 6	DATE
ejpam-6173	121	6	32	CARDINAL
ejpam-6173	121	7	1	CARDINAL
ejpam-6173	122	1	0	CARDINAL
ejpam-6173	122	2	f(x	ORG
ejpam-6173	123	1	2	CARDINAL
ejpam-6173	123	2	y ∈ int(dom(f	PERSON
ejpam-6173	124	1	1	CARDINAL
ejpam-6173	125	1	31	CARDINAL
ejpam-6173	125	2	0	CARDINAL
ejpam-6173	126	1	2	CARDINAL
ejpam-6173	126	2	2.4	CARDINAL
ejpam-6173	126	3	f. the legendre function	PERSON
ejpam-6173	127	1	32	CARDINAL
ejpam-6173	129	1	28	CARDINAL
ejpam-6173	131	1	33	CARDINAL
ejpam-6173	132	1	bauschke et al	PERSON
ejpam-6173	133	1	32	CARDINAL
ejpam-6173	134	1	f(x	ORG
ejpam-6173	135	1	1	CARDINAL
ejpam-6173	138	1	legendre	PERSON
ejpam-6173	139	1	legendre	ORG
ejpam-6173	140	1	34	CARDINAL
ejpam-6173	141	1	2	CARDINAL
ejpam-6173	143	1	∈	ORG
ejpam-6173	143	2	⊂	GPE
ejpam-6173	143	3	∈	ORG
ejpam-6173	144	1	2	CARDINAL
ejpam-6173	145	1	f(x	ORG
ejpam-6173	145	2	∥x∥2	TIME
ejpam-6173	146	1	2jx	ORDINAL
ejpam-6173	146	2	darvish et al	PERSON
ejpam-6173	147	1	j. pure	PERSON
ejpam-6173	147	2	18	CARDINAL
ejpam-6173	147	3	3	CARDINAL
ejpam-6173	147	4	2025	CARDINAL
ejpam-6173	147	5	6173 7	DATE
ejpam-6173	147	6	32	CARDINAL
ejpam-6173	147	7	2e ∗	CARDINAL
ejpam-6173	147	8	ϕ(x	LOC
ejpam-6173	148	1	35	CARDINAL
ejpam-6173	148	2	y∈c ϕ(y	PERSON
ejpam-6173	149	1	bregman projection	PERSON
ejpam-6173	150	1	3	CARDINAL
ejpam-6173	151	1	36	CARDINAL
ejpam-6173	152	1	int(domf)× [0,+∞	PERSON
ejpam-6173	153	1	0	CARDINAL
ejpam-6173	153	2	∈	ORG
ejpam-6173	153	3	nonempty	CARDINAL
ejpam-6173	153	4	0	CARDINAL
ejpam-6173	153	5	int(domf)× [0,+∞	PERSON
ejpam-6173	155	1	∈	ORG
ejpam-6173	157	1	∈	ORG
ejpam-6173	158	1	4	CARDINAL
ejpam-6173	159	1	37	CARDINAL
ejpam-6173	159	2	38	CARDINAL
ejpam-6173	159	3	e∗	ORG
ejpam-6173	160	1	39	CARDINAL
ejpam-6173	160	2	lim ∥x∥→+∞ f(x	PERSON
ejpam-6173	161	1	lim∥x∥→+∞ f(x	ORG
ejpam-6173	163	1	two	CARDINAL
ejpam-6173	163	2	lim n→+∞ df	PERSON
ejpam-6173	163	3	yn	ORG
ejpam-6173	164	1	0 ⇒ lim n→+∞ ∥yn −	PERSON
ejpam-6173	164	2	0	CARDINAL
ejpam-6173	165	1	2	CARDINAL
ejpam-6173	166	1	40	CARDINAL
ejpam-6173	167	1	darvish et al	PERSON
ejpam-6173	168	1	j. pure	PERSON
ejpam-6173	168	2	18	CARDINAL
ejpam-6173	168	3	3	CARDINAL
ejpam-6173	168	4	2025	CARDINAL
ejpam-6173	168	5	6173 8	DATE
ejpam-6173	168	6	32	CARDINAL
ejpam-6173	168	7	3	CARDINAL
ejpam-6173	169	1	38	CARDINAL
ejpam-6173	169	2	2.3	CARDINAL
ejpam-6173	169	3	fréchet	TIME
ejpam-6173	170	1	4	CARDINAL
ejpam-6173	171	1	40	CARDINAL
ejpam-6173	171	2	at least two	CARDINAL
ejpam-6173	171	3	fréchet differentiable	PERSON
ejpam-6173	171	4	fréchet derivative ∇f	GPE
ejpam-6173	172	1	5	CARDINAL
ejpam-6173	173	1	41	CARDINAL
ejpam-6173	173	2	2.1	CARDINAL
ejpam-6173	173	3	e. then ∇f	ORG
ejpam-6173	173	4	6	CARDINAL
ejpam-6173	174	1	38	CARDINAL
ejpam-6173	174	2	3.1	CARDINAL
ejpam-6173	175	1	x0	PERSON
ejpam-6173	175	2	xn	ORG
ejpam-6173	175	3	x0	ORG
ejpam-6173	178	1	∈	PRODUCT
ejpam-6173	180	1	42	CARDINAL
ejpam-6173	181	1	0	CARDINAL
ejpam-6173	182	1	f̂	CARDINAL
ejpam-6173	184	1	38	CARDINAL
ejpam-6173	184	2	tx	ORG
ejpam-6173	184	3	∈	ORG
ejpam-6173	185	1	bregman	PERSON
ejpam-6173	186	1	38	CARDINAL
ejpam-6173	186	2	tx	ORG
ejpam-6173	186	3	∈	ORG
ejpam-6173	186	4	f̂	TIME
ejpam-6173	188	1	bregman	PERSON
ejpam-6173	188	2	38	CARDINAL
ejpam-6173	188	3	44	DATE
ejpam-6173	188	4	f̂	TIME
ejpam-6173	189	1	tx	ORG
ejpam-6173	190	1	lim	PERSON
ejpam-6173	192	1	xn	ORG
ejpam-6173	194	1	darvish et al	PERSON
ejpam-6173	195	1	j. pure	PERSON
ejpam-6173	195	2	18	CARDINAL
ejpam-6173	195	3	3	CARDINAL
ejpam-6173	195	4	2025	CARDINAL
ejpam-6173	195	5	6173 9	DATE
ejpam-6173	195	6	32	DATE
ejpam-6173	195	7	bregman	PERSON
ejpam-6173	196	1	45	CARDINAL
ejpam-6173	196	2	tx−	GPE
ejpam-6173	196	3	tx−	GPE
ejpam-6173	196	4	tx	ORG
ejpam-6173	196	5	tx	ORG
ejpam-6173	196	6	tx	ORG
ejpam-6173	197	1	2.5	CARDINAL
ejpam-6173	197	2	42	CARDINAL
ejpam-6173	198	1	fréchet	TIME
ejpam-6173	199	1	f̂	TIME
ejpam-6173	201	1	f̂	TIME
ejpam-6173	202	1	7	CARDINAL
ejpam-6173	203	1	40	CARDINAL
ejpam-6173	204	1	1	CARDINAL
ejpam-6173	204	2	y − z⟩ ≤ 0	PERSON
ejpam-6173	205	1	legendre	PERSON
ejpam-6173	206	1	35	CARDINAL
ejpam-6173	206	2	29	CARDINAL
ejpam-6173	206	3	e × e∗	ORG
ejpam-6173	208	1	∈	ORG
ejpam-6173	208	2	2.6	CARDINAL
ejpam-6173	210	1	2.7	CARDINAL
ejpam-6173	211	1	46	CARDINAL
ejpam-6173	212	1	e∗	ORG
ejpam-6173	212	2	47	CARDINAL
ejpam-6173	213	1	second	ORDINAL
ejpam-6173	214	1	i=1 ti∇f(xi	PERSON
ejpam-6173	216	1	2.8	CARDINAL
ejpam-6173	216	2	xi}ni=1 ⊂	GPE
ejpam-6173	216	3	0	CARDINAL
ejpam-6173	216	4	1	CARDINAL
ejpam-6173	216	5	1	CARDINAL
ejpam-6173	217	1	darvish et al	PERSON
ejpam-6173	218	1	j. pure	PERSON
ejpam-6173	218	2	18	CARDINAL
ejpam-6173	218	3	3	CARDINAL
ejpam-6173	218	4	2025	CARDINAL
ejpam-6173	218	5	6173 10	DATE
ejpam-6173	218	6	32	DATE
ejpam-6173	218	7	5	CARDINAL
ejpam-6173	219	1	0	CARDINAL
ejpam-6173	221	1	48	CARDINAL
ejpam-6173	222	1	0	CARDINAL
ejpam-6173	224	1	1−	ORDINAL
ejpam-6173	224	2	1− α)y] α(1−	TIME
ejpam-6173	224	3	0	CARDINAL
ejpam-6173	228	1	1 2	CARDINAL
ejpam-6173	229	1	+ 1 2 g(y)−	QUANTITY
ejpam-6173	229	2	2	CARDINAL
ejpam-6173	229	3	0	CARDINAL
ejpam-6173	230	1	8	CARDINAL
ejpam-6173	231	1	49	CARDINAL
ejpam-6173	233	1	6	CARDINAL
ejpam-6173	234	1	e∗	GPE
ejpam-6173	236	1	φ	PERSON
ejpam-6173	236	2	2c	CARDINAL
ejpam-6173	236	3	φ	PERSON
ejpam-6173	238	1	θ(z	PRODUCT
ejpam-6173	238	2	y − z⟩ ≥ φ(z	PERSON
ejpam-6173	239	1	2.9	CARDINAL
ejpam-6173	239	2	9	CARDINAL
ejpam-6173	240	1	50	CARDINAL
ejpam-6173	241	1	φ	ORG
ejpam-6173	241	2	e∗	GPE
ejpam-6173	242	1	φ	ORG
ejpam-6173	242	2	e. lemma 10	PERSON
ejpam-6173	243	1	50	CARDINAL
ejpam-6173	244	1	φ	PERSON
ejpam-6173	244	2	resfθ	PERSON
ejpam-6173	244	3	φ	PERSON
ejpam-6173	244	4	φ	PERSON
ejpam-6173	245	1	φ	PERSON
ejpam-6173	245	2	φ	PERSON
ejpam-6173	245	3	resfθ	GPE
ejpam-6173	245	4	φ	PERSON
ejpam-6173	246	1	resfθ	GPE
ejpam-6173	246	2	φ	PERSON
ejpam-6173	246	3	∈	ORG
ejpam-6173	246	4	resfθ	GPE
ejpam-6173	246	5	φ	PERSON
ejpam-6173	246	6	e. v. darvish et al	PERSON
ejpam-6173	247	1	j. pure	PERSON
ejpam-6173	247	2	18	CARDINAL
ejpam-6173	247	3	3	CARDINAL
ejpam-6173	247	4	2025	CARDINAL
ejpam-6173	247	5	6173 11	DATE
ejpam-6173	247	6	32	CARDINAL
ejpam-6173	247	7	2e ∗	QUANTITY
ejpam-6173	247	8	θ(x	ORG
ejpam-6173	248	1	y − x⟩+	PERSON
ejpam-6173	248	2	2.10	CARDINAL
ejpam-6173	248	3	11	CARDINAL
ejpam-6173	249	1	51	CARDINAL
ejpam-6173	249	2	two	CARDINAL
ejpam-6173	249	3	e. then	GPE
ejpam-6173	249	4	xn	ORG
ejpam-6173	249	5	0	CARDINAL
ejpam-6173	250	1	lim	PERSON
ejpam-6173	250	2	0	CARDINAL
ejpam-6173	251	1	12	CARDINAL
ejpam-6173	252	1	52	CARDINAL
ejpam-6173	252	2	0	CARDINAL
ejpam-6173	252	3	1	CARDINAL
ejpam-6173	254	1	1− αn)an	DATE
ejpam-6173	257	1	lim	PERSON
ejpam-6173	257	2	− ank	PERSON
ejpam-6173	257	3	0	DATE
ejpam-6173	257	4	lim	PERSON
ejpam-6173	257	5	0	CARDINAL
ejpam-6173	258	1	3	CARDINAL
ejpam-6173	260	1	3.1	CARDINAL
ejpam-6173	260	2	e∗	ORG
ejpam-6173	260	3	int(dom(f	ORG
ejpam-6173	261	1	f̂	TIME
ejpam-6173	263	1	legendre	PERSON
ejpam-6173	263	2	fréchet	TIME
ejpam-6173	263	3	e. (a4	ORG
ejpam-6173	263	4	2e ∗	CARDINAL
ejpam-6173	263	5	1	CARDINAL
ejpam-6173	263	6	2	DATE
ejpam-6173	265	1	⊂	GPE
ejpam-6173	265	2	ω	CARDINAL
ejpam-6173	266	1	0	CARDINAL
ejpam-6173	266	2	1	CARDINAL
ejpam-6173	268	1	1	CARDINAL
ejpam-6173	269	1	lim	PERSON
ejpam-6173	269	2	0	CARDINAL
ejpam-6173	272	1	j. pure	PERSON
ejpam-6173	272	2	18	CARDINAL
ejpam-6173	272	3	3	CARDINAL
ejpam-6173	272	4	2025	CARDINAL
ejpam-6173	272	5	6173 12	DATE
ejpam-6173	272	6	32	CARDINAL
ejpam-6173	272	7	3.2	CARDINAL
ejpam-6173	273	1	0	CARDINAL
ejpam-6173	273	2	1	CARDINAL
ejpam-6173	273	3	1	CARDINAL
ejpam-6173	273	4	the (n − 1)th	ORG
ejpam-6173	273	5	nth iterates	PERSON
ejpam-6173	273	6	0 ≤ θn ≤	MONEY
ejpam-6173	274	1	3.1	CARDINAL
ejpam-6173	274	2	2	CARDINAL
ejpam-6173	276	1	1−	TIME
ejpam-6173	277	1	1−	CARDINAL
ejpam-6173	278	1	1	CARDINAL
ejpam-6173	278	2	1	CARDINAL
ejpam-6173	278	3	3	CARDINAL
ejpam-6173	279	1	1	CARDINAL
ejpam-6173	279	2	1	CARDINAL
ejpam-6173	279	3	− xn−1∥	GPE
ejpam-6173	282	1	4	CARDINAL
ejpam-6173	282	2	convergence analysis	PERSON
ejpam-6173	282	3	first	ORDINAL
ejpam-6173	284	1	53	CARDINAL
ejpam-6173	285	1	13	CARDINAL
ejpam-6173	286	1	legendre	PERSON
ejpam-6173	286	2	fréchet differentiable	PERSON
ejpam-6173	288	1	1	CARDINAL
ejpam-6173	288	2	φ	PERSON
ejpam-6173	288	3	2	CARDINAL
ejpam-6173	288	4	bθ	GPE
ejpam-6173	288	5	3	CARDINAL
ejpam-6173	288	6	φ	PERSON
ejpam-6173	290	1	1	CARDINAL
ejpam-6173	290	2	2.10	CARDINAL
ejpam-6173	290	3	∈	ORG
ejpam-6173	290	4	⇔ θ(x	ORG
ejpam-6173	290	5	∈	ORG
ejpam-6173	290	6	φ	PERSON
ejpam-6173	291	1	2	CARDINAL
ejpam-6173	291	2	bθ	GPE
ejpam-6173	295	1	darvish et al	PERSON
ejpam-6173	296	1	j. pure	PERSON
ejpam-6173	296	2	18	CARDINAL
ejpam-6173	296	3	3	CARDINAL
ejpam-6173	296	4	2025	CARDINAL
ejpam-6173	296	5	6173 13	DATE
ejpam-6173	296	6	32	DATE
ejpam-6173	298	1	4.1	CARDINAL
ejpam-6173	301	1	4.2	CARDINAL
ejpam-6173	301	2	4.1	CARDINAL
ejpam-6173	301	3	4.2	CARDINAL
ejpam-6173	301	4	θ(x1	DATE
ejpam-6173	306	1	x2 − x1⟩ ≥ ⟨x∗1	ORG
ejpam-6173	306	2	x∗2	DATE
ejpam-6173	307	1	− x∗2	PERSON
ejpam-6173	308	1	0	CARDINAL
ejpam-6173	308	2	bθ	GPE
ejpam-6173	309	1	bθ	GPE
ejpam-6173	309	2	e∗	ORG
ejpam-6173	309	3	54	CARDINAL
ejpam-6173	309	4	2.3	CARDINAL
ejpam-6173	310	1	e∗	GPE
ejpam-6173	310	2	55	CARDINAL
ejpam-6173	310	3	2.3	CARDINAL
ejpam-6173	310	4	48	CARDINAL
ejpam-6173	310	5	e∗	ORG
ejpam-6173	314	1	9	CARDINAL
ejpam-6173	314	2	φ	ORG
ejpam-6173	314	3	φ	PERSON
ejpam-6173	314	4	φ	PERSON
ejpam-6173	316	1	φ	ORG
ejpam-6173	317	1	φ	ORG
ejpam-6173	318	1	φ	ORG
ejpam-6173	318	2	φ	ORG
ejpam-6173	318	3	φ(resfθ	PERSON
ejpam-6173	318	4	φ	PERSON
ejpam-6173	319	1	φ	PERSON
ejpam-6173	321	1	φ	ORG
ejpam-6173	322	1	φ	ORG
ejpam-6173	322	2	φ	ORG
ejpam-6173	322	3	φ	ORG
ejpam-6173	323	1	φ	PERSON
ejpam-6173	323	2	∇f(x1)−∇f(resfθ	GPE
ejpam-6173	323	3	φ	ORG
ejpam-6173	323	4	φ	ORG
ejpam-6173	324	1	x∗ = ∇f(x1	PERSON
ejpam-6173	324	2	φ	PERSON
ejpam-6173	325	1	4.3	CARDINAL
ejpam-6173	325	2	∈	ORG
ejpam-6173	327	1	3	CARDINAL
ejpam-6173	328	1	9	CARDINAL
ejpam-6173	328	2	φ	PERSON
ejpam-6173	329	1	4.3	CARDINAL
ejpam-6173	330	1	φ	PERSON
ejpam-6173	331	1	darvish et al	PERSON
ejpam-6173	332	1	j. pure	PERSON
ejpam-6173	332	2	18	CARDINAL
ejpam-6173	332	3	3	CARDINAL
ejpam-6173	332	4	2025	CARDINAL
ejpam-6173	332	5	6173 14	DATE
ejpam-6173	332	6	32	CARDINAL
ejpam-6173	332	7	14	CARDINAL
ejpam-6173	333	1	3.2	CARDINAL
ejpam-6173	333	2	3.1	CARDINAL
ejpam-6173	336	1	∈ ω	ORG
ejpam-6173	337	1	8	CARDINAL
ejpam-6173	338	1	10	CARDINAL
ejpam-6173	339	1	resfbθ2 ◦resfbθ1	ORG
ejpam-6173	340	1	resfbθ1	PERSON
ejpam-6173	341	1	4.4	CARDINAL
ejpam-6173	341	2	2.8	CARDINAL
ejpam-6173	343	1	1− θn)∇f	TIME
ejpam-6173	344	1	1−	WORK_OF_ART
ejpam-6173	344	2	xn−1	GPE
ejpam-6173	345	1	4.5	CARDINAL
ejpam-6173	345	2	1−	TIME
ejpam-6173	346	1	βndf	ORG
ejpam-6173	346	2	1− βn)df	WORK_OF_ART
ejpam-6173	347	1	βndf	ORG
ejpam-6173	347	2	1− βn)df	WORK_OF_ART
ejpam-6173	347	3	βndf	ORG
ejpam-6173	347	4	1− βn)df	WORK_OF_ART
ejpam-6173	347	5	4.6	CARDINAL
ejpam-6173	347	6	2.8	CARDINAL
ejpam-6173	347	7	1−	CARDINAL
ejpam-6173	348	1	1− αn)df	LAW
ejpam-6173	348	2	1− αn)df	LAW
ejpam-6173	349	1	βndf	ORG
ejpam-6173	349	2	1− βn)df	WORK_OF_ART
ejpam-6173	350	1	1− αn)df	LAW
ejpam-6173	351	1	1−	TIME
ejpam-6173	351	2	1− αn)df	LAW
ejpam-6173	352	1	1−	CARDINAL
ejpam-6173	353	1	1−	WORK_OF_ART
ejpam-6173	354	1	xn−1	PERSON
ejpam-6173	354	2	max	PERSON
ejpam-6173	354	3	xn−1	GPE
ejpam-6173	355	1	4.7	CARDINAL
ejpam-6173	355	2	0	CARDINAL
ejpam-6173	357	1	max	PERSON
ejpam-6173	357	2	xn−1	GPE
ejpam-6173	358	1	max	PERSON
ejpam-6173	358	2	xn0	ORG
ejpam-6173	358	3	xn0−1	PERSON
ejpam-6173	360	1	6	CARDINAL
ejpam-6173	362	1	darvish et al	PERSON
ejpam-6173	363	1	j. pure	PERSON
ejpam-6173	363	2	18	CARDINAL
ejpam-6173	363	3	3	CARDINAL
ejpam-6173	363	4	2025	CARDINAL
ejpam-6173	363	5	6173 15	DATE
ejpam-6173	363	6	32	CARDINAL
ejpam-6173	363	7	15	CARDINAL
ejpam-6173	364	1	3.2	CARDINAL
ejpam-6173	364	2	3.1	CARDINAL
ejpam-6173	365	1	∈ ω	ORG
ejpam-6173	368	1	xn−1)−df	ORG
ejpam-6173	369	1	0	CARDINAL
ejpam-6173	371	1	xn−1)−df	ORG
ejpam-6173	374	1	∈ ω	ORG
ejpam-6173	375	1	3.1	CARDINAL
ejpam-6173	376	1	4.8	CARDINAL
ejpam-6173	376	2	assumption 3.1(b2	LAW
ejpam-6173	376	3	lim	PERSON
ejpam-6173	377	1	lim	PERSON
ejpam-6173	379	1	lim	PERSON
ejpam-6173	379	2	0	CARDINAL
ejpam-6173	381	1	0	CARDINAL
ejpam-6173	382	1	4.9	CARDINAL
ejpam-6173	382	2	lim	PERSON
ejpam-6173	383	1	xn)−∇f	ORG
ejpam-6173	383	2	0	CARDINAL
ejpam-6173	383	3	4.10	CARDINAL
ejpam-6173	383	4	three	CARDINAL
ejpam-6173	383	5	xn−1)−df	ORG
ejpam-6173	383	6	xn−1	GPE
ejpam-6173	383	7	xn−1 −	PERSON
ejpam-6173	383	8	4.11	CARDINAL
ejpam-6173	383	9	4.11	CARDINAL
ejpam-6173	383	10	xn−1)−df	ORG
ejpam-6173	385	1	xn−1	GPE
ejpam-6173	385	2	xn−1 −	PERSON
ejpam-6173	385	3	4.12	CARDINAL
ejpam-6173	385	4	xn−1	GPE
ejpam-6173	386	1	xn−1	GPE
ejpam-6173	386	2	0	CARDINAL
ejpam-6173	386	3	xn−1 −	PERSON
ejpam-6173	387	1	∥xn−1 − p∥	GPE
ejpam-6173	387	2	0	CARDINAL
ejpam-6173	388	1	lim n→∞	PERSON
ejpam-6173	388	2	xn−1)−df	ORG
ejpam-6173	391	1	darvish et al	PERSON
ejpam-6173	392	1	j. pure	PERSON
ejpam-6173	392	2	18	CARDINAL
ejpam-6173	392	3	3	CARDINAL
ejpam-6173	392	4	2025	CARDINAL
ejpam-6173	392	5	6173 16	DATE
ejpam-6173	392	6	lim	PERSON
ejpam-6173	392	7	4.8	CARDINAL
ejpam-6173	392	8	lim	PERSON
ejpam-6173	392	9	0	CARDINAL
ejpam-6173	393	1	4.13	CARDINAL
ejpam-6173	393	2	lim	PERSON
ejpam-6173	394	1	xn)−∇f	ORG
ejpam-6173	394	2	0	CARDINAL
ejpam-6173	395	1	4.14	CARDINAL
ejpam-6173	395	2	4.11	CARDINAL
ejpam-6173	396	1	xn−1)−df	ORG
ejpam-6173	398	1	xn−1	GPE
ejpam-6173	398	2	xn−1 −	PERSON
ejpam-6173	398	3	4.11	CARDINAL
ejpam-6173	398	4	4.13	CARDINAL
ejpam-6173	398	5	4.14	CARDINAL
ejpam-6173	398	6	xn−1	GPE
ejpam-6173	400	1	0	CARDINAL
ejpam-6173	401	1	16	CARDINAL
ejpam-6173	402	1	3.2	CARDINAL
ejpam-6173	402	2	3.1(a	CARDINAL
ejpam-6173	403	1	∈ ω	ORG
ejpam-6173	405	1	1− βn(1−	CARDINAL
ejpam-6173	405	2	1−βn(1−αn	CARDINAL
ejpam-6173	405	3	1−αn	CARDINAL
ejpam-6173	405	4	xn−1)−df	ORG
ejpam-6173	408	1	darvish et al	PERSON
ejpam-6173	409	1	j. pure	PERSON
ejpam-6173	409	2	18	CARDINAL
ejpam-6173	409	3	3	CARDINAL
ejpam-6173	409	4	2025	CARDINAL
ejpam-6173	409	5	6173 17	DATE
ejpam-6173	409	6	32	CARDINAL
ejpam-6173	410	1	∈ ω	ORG
ejpam-6173	411	1	2.7	CARDINAL
ejpam-6173	411	2	4.4	CARDINAL
ejpam-6173	411	3	4.5	CARDINAL
ejpam-6173	412	1	1−	CARDINAL
ejpam-6173	413	1	1− αn)df	LAW
ejpam-6173	414	1	1−	TIME
ejpam-6173	416	1	1−	TIME
ejpam-6173	418	1	1−	TIME
ejpam-6173	422	1	1−	TIME
ejpam-6173	423	1	qn)−∇f(p)⟩ ≤ αndf	DATE
ejpam-6173	424	1	βndf	ORG
ejpam-6173	424	2	1− βn)df	WORK_OF_ART
ejpam-6173	427	1	1− βn)df	LAW
ejpam-6173	428	1	qn)−∇f(p)⟩ ≤ αndf	DATE
ejpam-6173	429	1	1− βn)df	LAW
ejpam-6173	430	1	qn)−∇f(p)⟩ ≤	DATE
ejpam-6173	431	1	1−	TIME
ejpam-6173	431	2	1− αn)βn	LAW
ejpam-6173	432	1	1−	CARDINAL
ejpam-6173	432	2	1− αn)]df	ORG
ejpam-6173	432	3	1− αn)βn	LAW
ejpam-6173	433	1	qn)−∇f(p)⟩ ≤	DATE
ejpam-6173	434	1	1−	CARDINAL
ejpam-6173	435	1	1−	WORK_OF_ART
ejpam-6173	436	1	xn−1	PERSON
ejpam-6173	437	1	1− αn)βn	LAW
ejpam-6173	438	1	1−	CARDINAL
ejpam-6173	438	2	1− αn)]df	ORG
ejpam-6173	440	1	1−	CARDINAL
ejpam-6173	441	1	xn−1)−df	ORG
ejpam-6173	443	1	1−	CARDINAL
ejpam-6173	443	2	1− αn)]df	ORG
ejpam-6173	444	1	1−	LANGUAGE
ejpam-6173	445	1	1−	CARDINAL
ejpam-6173	446	1	xn−1)−df	ORG
ejpam-6173	449	1	1	CARDINAL
ejpam-6173	450	1	3.2	CARDINAL
ejpam-6173	450	2	3.1	CARDINAL
ejpam-6173	451	1	ω	DATE
ejpam-6173	454	1	16	CARDINAL
ejpam-6173	455	1	1−	CARDINAL
ejpam-6173	455	2	1− αn)]df	ORG
ejpam-6173	456	1	1−	LANGUAGE
ejpam-6173	458	1	xn−1)−df	ORG
ejpam-6173	458	2	darvish et al	PERSON
ejpam-6173	459	1	j. pure	PERSON
ejpam-6173	459	2	18	CARDINAL
ejpam-6173	459	3	3	CARDINAL
ejpam-6173	459	4	2025	CARDINAL
ejpam-6173	459	5	6173 18	DATE
ejpam-6173	461	1	1−	CARDINAL
ejpam-6173	461	2	1− αn)]df	ORG
ejpam-6173	462	1	4.16	CARDINAL
ejpam-6173	462	2	1−βn(1−αn	CARDINAL
ejpam-6173	462	3	1−αn	CARDINAL
ejpam-6173	462	4	xn−1)−df	ORG
ejpam-6173	465	1	zero	CARDINAL
ejpam-6173	466	1	lemma 12	ORG
ejpam-6173	466	2	lim	PERSON
ejpam-6173	466	3	0	CARDINAL
ejpam-6173	467	1	4.17	CARDINAL
ejpam-6173	467	2	4.17	CARDINAL
ejpam-6173	468	1	lemma 7	ORG
ejpam-6173	468	2	15	CARDINAL
ejpam-6173	468	3	znk	NORP
ejpam-6173	468	4	lim k→+∞	PERSON
ejpam-6173	469	1	lim k→+∞	PERSON
ejpam-6173	471	1	lim k→+∞	PERSON
ejpam-6173	472	1	lim k→+∞	PERSON
ejpam-6173	472	2	resfbθ1	PERSON
ejpam-6173	472	3	4.18	CARDINAL
ejpam-6173	473	1	resfbθ1	PERSON
ejpam-6173	476	1	4.19	CARDINAL
ejpam-6173	476	2	1−	LANGUAGE
ejpam-6173	481	1	0	CARDINAL
ejpam-6173	481	2	4.20	CARDINAL
ejpam-6173	481	3	1	CARDINAL
ejpam-6173	481	4	lim k→+∞	PERSON
ejpam-6173	482	1	0	CARDINAL
ejpam-6173	483	1	4.21	CARDINAL
ejpam-6173	483	2	5	CARDINAL
ejpam-6173	483	3	e. hence	GPE
ejpam-6173	483	4	lim k→+∞	PERSON
ejpam-6173	483	5	0	CARDINAL
ejpam-6173	484	1	4.22	CARDINAL
ejpam-6173	485	1	lim	PERSON
ejpam-6173	485	2	0	CARDINAL
ejpam-6173	485	3	4.23	CARDINAL
ejpam-6173	486	1	∗	CARDINAL
ejpam-6173	487	1	darvish et al	PERSON
ejpam-6173	488	1	j. pure	PERSON
ejpam-6173	488	2	18	CARDINAL
ejpam-6173	488	3	3	CARDINAL
ejpam-6173	488	4	2025	CARDINAL
ejpam-6173	488	5	6173 19	DATE
ejpam-6173	488	6	32	CARDINAL
ejpam-6173	490	1	znk	NORP
ejpam-6173	490	2	znk	NORP
ejpam-6173	492	1	znk	NORP
ejpam-6173	493	1	znk	NORP
ejpam-6173	495	1	znk	NORP
ejpam-6173	495	2	znk	NORP
ejpam-6173	495	3	−∇f	PERSON
ejpam-6173	495	4	∈	ORG
ejpam-6173	496	1	4.21	CARDINAL
ejpam-6173	496	2	4.23	CARDINAL
ejpam-6173	496	3	lim	PERSON
ejpam-6173	497	1	znk	ORG
ejpam-6173	497	2	0	CARDINAL
ejpam-6173	498	1	4.24	CARDINAL
ejpam-6173	498	2	k → +∞	ORG
ejpam-6173	498	3	znk	NORP
ejpam-6173	499	1	∗	CARDINAL
ejpam-6173	501	1	1− βnk	DATE
ejpam-6173	501	2	znk	NORP
ejpam-6173	502	1	∗	CARDINAL
ejpam-6173	502	2	∗	CARDINAL
ejpam-6173	503	1	1− βnk	DATE
ejpam-6173	503	2	∗	CARDINAL
ejpam-6173	503	3	znk	NORP
ejpam-6173	503	4	∗	CARDINAL
ejpam-6173	503	5	∗	CARDINAL
ejpam-6173	504	1	1− βnk)df	TIME
ejpam-6173	504	2	∗	CARDINAL
ejpam-6173	504	3	∗	CARDINAL
ejpam-6173	505	1	∗	CARDINAL
ejpam-6173	505	2	∗	CARDINAL
ejpam-6173	505	3	0	DATE
ejpam-6173	505	4	k → +∞.	ORG
ejpam-6173	505	5	4.25	CARDINAL
ejpam-6173	505	6	lim k→+∞	PERSON
ejpam-6173	505	7	znk	NORP
ejpam-6173	506	1	0	CARDINAL
ejpam-6173	506	2	2.4	CARDINAL
ejpam-6173	506	3	lim	PERSON
ejpam-6173	506	4	0	CARDINAL
ejpam-6173	507	1	4.26	CARDINAL
ejpam-6173	507	2	lim k→+∞	PERSON
ejpam-6173	509	1	0	CARDINAL
ejpam-6173	510	1	4.21	CARDINAL
ejpam-6173	510	2	4.26	CARDINAL
ejpam-6173	512	1	0	CARDINAL
ejpam-6173	512	2	k → +∞. therefore,	ORG
ejpam-6173	512	3	lim k→+∞	PERSON
ejpam-6173	512	4	0	CARDINAL
ejpam-6173	513	1	4.27	CARDINAL
ejpam-6173	513	2	5	CARDINAL
ejpam-6173	515	1	0	CARDINAL
ejpam-6173	515	2	4.28	CARDINAL
ejpam-6173	516	1	lim	PERSON
ejpam-6173	516	2	∥f	PERSON
ejpam-6173	517	1	0	CARDINAL
ejpam-6173	517	2	4.29	CARDINAL
ejpam-6173	517	3	darvish et al	PERSON
ejpam-6173	518	1	j. pure	PERSON
ejpam-6173	518	2	18	CARDINAL
ejpam-6173	518	3	3	CARDINAL
ejpam-6173	518	4	2025	CARDINAL
ejpam-6173	518	5	6173 20	DATE
ejpam-6173	518	6	∗	CARDINAL
ejpam-6173	526	1	−∇f	PERSON
ejpam-6173	526	2	4.30	CARDINAL
ejpam-6173	526	3	∈	ORG
ejpam-6173	527	1	4.10	CARDINAL
ejpam-6173	527	2	−∇f	PERSON
ejpam-6173	530	1	−∇f	PERSON
ejpam-6173	531	1	k → +∞.	ORG
ejpam-6173	531	2	4.31	CARDINAL
ejpam-6173	531	3	4.28	CARDINAL
ejpam-6173	531	4	4.31	CARDINAL
ejpam-6173	531	5	lim	PERSON
ejpam-6173	531	6	−∇f	PERSON
ejpam-6173	533	1	−∇f	PERSON
ejpam-6173	534	1	4.32	CARDINAL
ejpam-6173	534	2	4.30	CARDINAL
ejpam-6173	534	3	4.32	CARDINAL
ejpam-6173	534	4	lim	PERSON
ejpam-6173	534	5	∗	CARDINAL
ejpam-6173	535	1	0	CARDINAL
ejpam-6173	535	2	4.33	CARDINAL
ejpam-6173	535	3	4.27	CARDINAL
ejpam-6173	535	4	4.32	CARDINAL
ejpam-6173	535	5	lim k→+∞	PERSON
ejpam-6173	537	1	0	CARDINAL
ejpam-6173	538	1	4.34	CARDINAL
ejpam-6173	538	2	4.33	CARDINAL
ejpam-6173	541	1	1−	MONEY
ejpam-6173	542	1	1−	MONEY
ejpam-6173	543	1	∗	CARDINAL
ejpam-6173	543	2	1−	MONEY
ejpam-6173	543	3	∗	CARDINAL
ejpam-6173	543	4	∗	CARDINAL
ejpam-6173	544	1	1−	MONEY
ejpam-6173	546	1	k → +∞.	ORG
ejpam-6173	546	2	1	CARDINAL
ejpam-6173	546	3	lim k→+∞ ∥∥ynk	PERSON
ejpam-6173	547	1	0	CARDINAL
ejpam-6173	548	1	4.35	CARDINAL
ejpam-6173	548	2	4.25	CARDINAL
ejpam-6173	548	3	k → +∞	ORG
ejpam-6173	549	1	∗	CARDINAL
ejpam-6173	552	1	∗	CARDINAL
ejpam-6173	553	1	1− βnk	DATE
ejpam-6173	553	2	∗	CARDINAL
ejpam-6173	553	3	znk	NORP
ejpam-6173	553	4	∗	CARDINAL
ejpam-6173	553	5	∗	CARDINAL
ejpam-6173	554	1	1− βnk	DATE
ejpam-6173	554	2	∗	CARDINAL
ejpam-6173	556	1	∗	CARDINAL
ejpam-6173	556	2	∗	CARDINAL
ejpam-6173	557	1	∗	CARDINAL
ejpam-6173	557	2	k → +∞.	ORG
ejpam-6173	557	3	darvish et al	PERSON
ejpam-6173	558	1	j. pure	PERSON
ejpam-6173	558	2	18	CARDINAL
ejpam-6173	558	3	3	CARDINAL
ejpam-6173	558	4	2025	CARDINAL
ejpam-6173	558	5	6173 21	DATE
ejpam-6173	558	6	32	CARDINAL
ejpam-6173	558	7	lim k→+∞	PERSON
ejpam-6173	559	1	0	CARDINAL
ejpam-6173	559	2	lemma 1	ORG
ejpam-6173	559	3	lim	PERSON
ejpam-6173	560	1	0	CARDINAL
ejpam-6173	561	1	4.36	CARDINAL
ejpam-6173	561	2	4.35	CARDINAL
ejpam-6173	561	3	4.36	CARDINAL
ejpam-6173	562	1	0	DATE
ejpam-6173	562	2	k → +∞.	ORG
ejpam-6173	562	3	lim	PERSON
ejpam-6173	562	4	0	CARDINAL
ejpam-6173	563	1	4.37	CARDINAL
ejpam-6173	563	2	4.27	CARDINAL
ejpam-6173	563	3	4.36	CARDINAL
ejpam-6173	564	1	k → +∞. hence	ORG
ejpam-6173	564	2	lim k→+∞	PERSON
ejpam-6173	564	3	0	CARDINAL
ejpam-6173	564	4	4.38	CARDINAL
ejpam-6173	564	5	lim	PERSON
ejpam-6173	566	1	0	CARDINAL
ejpam-6173	567	1	4.39	CARDINAL
ejpam-6173	567	2	4.38	CARDINAL
ejpam-6173	567	3	k → +∞. hence	ORG
ejpam-6173	567	4	∈	ORG
ejpam-6173	568	1	w	ORG
ejpam-6173	568	2	w	ORG
ejpam-6173	570	1	− ynk	PERSON
ejpam-6173	570	2	−∇f	PERSON
ejpam-6173	570	3	⟩ −df	PERSON
ejpam-6173	572	1	− ynk	PERSON
ejpam-6173	572	2	−∇f	PERSON
ejpam-6173	573	1	+ ∥w	PERSON
ejpam-6173	573	2	−∇f	PERSON
ejpam-6173	575	1	−∇f	PERSON
ejpam-6173	575	2	4.32	CARDINAL
ejpam-6173	576	1	lim k→+∞ |df	PERSON
ejpam-6173	576	2	w	ORG
ejpam-6173	576	3	0	CARDINAL
ejpam-6173	583	1	w	ORG
ejpam-6173	584	1	j. pure	PERSON
ejpam-6173	584	2	18	CARDINAL
ejpam-6173	584	3	3	CARDINAL
ejpam-6173	584	4	2025	CARDINAL
ejpam-6173	584	5	6173 22	DATE
ejpam-6173	584	6	32	DATE
ejpam-6173	585	1	1	CARDINAL
ejpam-6173	585	2	2	DATE
ejpam-6173	588	1	lim k→+∞ df	PERSON
ejpam-6173	590	1	1	CARDINAL
ejpam-6173	590	2	2	DATE
ejpam-6173	592	1	lim k→+∞ ∥resfbθj ◦	PERSON
ejpam-6173	593	1	4.40	CARDINAL
ejpam-6173	593	2	1	CARDINAL
ejpam-6173	593	3	2	DATE
ejpam-6173	599	1	1	CARDINAL
ejpam-6173	603	1	1	CARDINAL
ejpam-6173	603	2	2	DATE
ejpam-6173	604	1	lim k→+∞	PERSON
ejpam-6173	604	2	1	CARDINAL
ejpam-6173	604	3	2	DATE
ejpam-6173	606	1	4.34	CARDINAL
ejpam-6173	606	2	4.40	CARDINAL
ejpam-6173	610	1	⇀	PERSON
ejpam-6173	610	2	1	CARDINAL
ejpam-6173	610	3	2	DATE
ejpam-6173	614	1	1	CARDINAL
ejpam-6173	614	2	2	DATE
ejpam-6173	619	1	0	CARDINAL
ejpam-6173	620	1	η	PERSON
ejpam-6173	621	1	η	PERSON
ejpam-6173	621	2	1	CARDINAL
ejpam-6173	621	3	2	DATE
ejpam-6173	623	1	∈	ORG
ejpam-6173	624	1	1	CARDINAL
ejpam-6173	624	2	2	DATE
ejpam-6173	626	1	∈	PRODUCT
ejpam-6173	627	1	∈	ORG
ejpam-6173	628	1	xnkj	GPE
ejpam-6173	628	2	lim	PERSON
ejpam-6173	628	3	xnkj −	PERSON
ejpam-6173	629	1	darvish et al	PERSON
ejpam-6173	630	1	j. pure	PERSON
ejpam-6173	630	2	18	CARDINAL
ejpam-6173	630	3	3	CARDINAL
ejpam-6173	630	4	2025	CARDINAL
ejpam-6173	630	5	6173 23	DATE
ejpam-6173	630	6	32	CARDINAL
ejpam-6173	631	1	lim	PERSON
ejpam-6173	631	2	xnkj −	PERSON
ejpam-6173	631	3	4.41	CARDINAL
ejpam-6173	632	1	4.42	CARDINAL
ejpam-6173	632	2	15	CARDINAL
ejpam-6173	632	3	4.41	CARDINAL
ejpam-6173	632	4	lim	PERSON
ejpam-6173	633	1	4.17	CARDINAL
ejpam-6173	633	2	4.15	CARDINAL
ejpam-6173	634	1	lemma 11	ORG
ejpam-6173	634	2	lim	PERSON
ejpam-6173	637	1	1	CARDINAL
ejpam-6173	637	2	13	CARDINAL
ejpam-6173	639	1	56	CARDINAL
ejpam-6173	640	1	1	CARDINAL
ejpam-6173	642	1	legendre	PERSON
ejpam-6173	642	2	fréchet	TIME
ejpam-6173	642	3	2e ∗	CARDINAL
ejpam-6173	642	4	1	CARDINAL
ejpam-6173	642	5	2	DATE
ejpam-6173	644	1	dom(b	ORG
ejpam-6173	645	1	0	CARDINAL
ejpam-6173	645	2	1	CARDINAL
ejpam-6173	645	3	0	CARDINAL
ejpam-6173	654	1	1−	TIME
ejpam-6173	656	1	1− αn)∇f(yn	PRODUCT
ejpam-6173	656	2	4.43	CARDINAL
ejpam-6173	657	1	4.43	CARDINAL
ejpam-6173	657	2	5	CARDINAL
ejpam-6173	661	1	1.5	CARDINAL
ejpam-6173	661	2	23	CARDINAL
ejpam-6173	662	1	darvish et al	PERSON
ejpam-6173	663	1	j. pure	PERSON
ejpam-6173	663	2	18	CARDINAL
ejpam-6173	663	3	3	CARDINAL
ejpam-6173	663	4	2025	CARDINAL
ejpam-6173	663	5	6173 24	DATE
ejpam-6173	663	6	32	CARDINAL
ejpam-6173	665	1	−1	CARDINAL
ejpam-6173	665	2	1	CARDINAL
ejpam-6173	668	1	1	CARDINAL
ejpam-6173	668	2	2	DATE
ejpam-6173	668	3	3	DATE
ejpam-6173	669	1	5(9i−3	CARDINAL
ejpam-6173	670	1	∥x∥2	TIME
ejpam-6173	671	1	−1	DATE
ejpam-6173	672	1	−1	CARDINAL
ejpam-6173	672	2	1	CARDINAL
ejpam-6173	672	3	1	CARDINAL
ejpam-6173	673	1	1 2n+3	CARDINAL
ejpam-6173	674	1	1	CARDINAL
ejpam-6173	674	2	1	CARDINAL
ejpam-6173	674	3	0.1	CARDINAL
ejpam-6173	674	4	100	CARDINAL
ejpam-6173	675	1	10−4	CARDINAL
ejpam-6173	676	1	x0	ORG
ejpam-6173	677	1	0.96	CARDINAL
ejpam-6173	677	2	0.59	CARDINAL
ejpam-6173	678	1	1.1	CARDINAL
ejpam-6173	678	2	1.3	CARDINAL
ejpam-6173	679	1	2.1	CARDINAL
ejpam-6173	679	2	1.7	CARDINAL
ejpam-6173	681	1	0.69	CARDINAL
ejpam-6173	681	2	0.09	CARDINAL
ejpam-6173	682	1	14	CARDINAL
ejpam-6173	683	1	10	CARDINAL
ejpam-6173	683	2	1	CARDINAL
ejpam-6173	683	3	1	CARDINAL
ejpam-6173	683	4	i. v. darvish et al	PERSON
ejpam-6173	684	1	j. pure	PERSON
ejpam-6173	684	2	18	CARDINAL
ejpam-6173	684	3	3	CARDINAL
ejpam-6173	684	4	2025	CARDINAL
ejpam-6173	684	5	6173 25	DATE
ejpam-6173	684	6	32	CARDINAL
ejpam-6173	684	7	10	CARDINAL
ejpam-6173	684	8	101	CARDINAL
ejpam-6173	684	9	o l case ii	DATE
ejpam-6173	684	10	2	CARDINAL
ejpam-6173	684	11	1	CARDINAL
ejpam-6173	684	12	10	CARDINAL
ejpam-6173	684	13	101	CARDINAL
ejpam-6173	684	14	o l	DATE
ejpam-6173	684	15	3	CARDINAL
ejpam-6173	684	16	1	CARDINAL
ejpam-6173	685	1	2	CARDINAL
ejpam-6173	685	2	xi}+∞	NORP
ejpam-6173	688	1	xi}+∞	NORP
ejpam-6173	689	1	f(x	ORG
ejpam-6173	691	1	2	CARDINAL
ejpam-6173	691	2	3.1	CARDINAL
ejpam-6173	691	3	+ 2ixy +	DATE
ejpam-6173	692	1	ix2	ORG
ejpam-6173	693	1	1+7j	CARDINAL
ejpam-6173	694	1	2	CARDINAL
ejpam-6173	696	1	j. pure	PERSON
ejpam-6173	696	2	18	CARDINAL
ejpam-6173	696	3	3	CARDINAL
ejpam-6173	696	4	2025	CARDINAL
ejpam-6173	696	5	6173 26	DATE
ejpam-6173	696	6	32	CARDINAL
ejpam-6173	696	7	10	CARDINAL
ejpam-6173	696	8	4	CARDINAL
ejpam-6173	696	9	1	CARDINAL
ejpam-6173	697	1	2	CARDINAL
ejpam-6173	697	2	1 2n+3	CARDINAL
ejpam-6173	697	3	1	CARDINAL
ejpam-6173	697	4	1 5	DATE
ejpam-6173	697	5	1	CARDINAL
ejpam-6173	697	6	0.1	CARDINAL
ejpam-6173	697	7	100	CARDINAL
ejpam-6173	698	1	10−4	CARDINAL
ejpam-6173	699	1	x0	ORG
ejpam-6173	701	1	0.25	CARDINAL
ejpam-6173	701	2	0.25	CARDINAL
ejpam-6173	701	3	0.33	CARDINAL
ejpam-6173	701	4	0	DATE
ejpam-6173	701	5	0	DATE
ejpam-6173	703	1	0.2	CARDINAL
ejpam-6173	703	2	0.2	DATE
ejpam-6173	703	3	0.3	CARDINAL
ejpam-6173	703	4	0	DATE
ejpam-6173	703	5	0	DATE
ejpam-6173	704	1	1	CARDINAL
ejpam-6173	704	2	0.5	CARDINAL
ejpam-6173	704	3	0.25	CARDINAL
ejpam-6173	704	4	0	DATE
ejpam-6173	704	5	0	DATE
ejpam-6173	706	1	0.2	CARDINAL
ejpam-6173	706	2	0.25	CARDINAL
ejpam-6173	706	3	0.125	CARDINAL
ejpam-6173	706	4	0	DATE
ejpam-6173	706	5	0	DATE
ejpam-6173	708	1	0.91	CARDINAL
ejpam-6173	708	2	0.55	CARDINAL
ejpam-6173	708	3	0.53	CARDINAL
ejpam-6173	708	4	0	DATE
ejpam-6173	708	5	0	DATE
ejpam-6173	709	1	0.85	CARDINAL
ejpam-6173	709	2	0.65	CARDINAL
ejpam-6173	709	3	0.65	CARDINAL
ejpam-6173	709	4	0	DATE
ejpam-6173	709	5	0	DATE
ejpam-6173	711	1	1.2	CARDINAL
ejpam-6173	711	2	0	DATE
ejpam-6173	711	3	0.38	CARDINAL
ejpam-6173	711	4	0	DATE
ejpam-6173	711	5	0	DATE
ejpam-6173	712	1	0.8	CARDINAL
ejpam-6173	712	2	0	DATE
ejpam-6173	712	3	1.2	CARDINAL
ejpam-6173	712	4	0	DATE
ejpam-6173	712	5	0	DATE
ejpam-6173	714	1	58	CARDINAL
ejpam-6173	714	2	23	CARDINAL
ejpam-6173	715	1	6	CARDINAL
ejpam-6173	719	1	darvish et al	PERSON
ejpam-6173	720	1	j. pure	PERSON
ejpam-6173	720	2	18	CARDINAL
ejpam-6173	720	3	3	CARDINAL
ejpam-6173	720	4	2025	CARDINAL
ejpam-6173	720	5	6173 27	DATE
ejpam-6173	720	6	32	CARDINAL
ejpam-6173	720	7	10	CARDINAL
ejpam-6173	720	8	101	CARDINAL
ejpam-6173	720	9	o l	DATE
ejpam-6173	720	10	5	CARDINAL
ejpam-6173	721	1	2	CARDINAL
ejpam-6173	721	2	a. 0	PERSON
ejpam-6173	721	3	10	CARDINAL
ejpam-6173	721	4	101	CARDINAL
ejpam-6173	721	5	o l	DATE
ejpam-6173	721	6	6	CARDINAL
ejpam-6173	721	7	2	CARDINAL
ejpam-6173	721	8	b.	PERSON
ejpam-6173	721	9	1	CARDINAL
ejpam-6173	721	10	l. c. ceng	PERSON
ejpam-6173	721	11	j. c. yao	PERSON
ejpam-6173	723	1	2008	DATE
ejpam-6173	724	1	2	CARDINAL
ejpam-6173	724	2	w. takahashi	PERSON
ejpam-6173	724	3	m. toyoda	PERSON
ejpam-6173	726	1	118:417–428, 2003	DATE
ejpam-6173	727	1	3	CARDINAL
ejpam-6173	727	2	f. e. browder	PERSON
ejpam-6173	729	1	the national academy of sciences	ORG
ejpam-6173	729	2	the united states	GPE
ejpam-6173	730	1	j. pure	PERSON
ejpam-6173	730	2	18	CARDINAL
ejpam-6173	730	3	3	CARDINAL
ejpam-6173	730	4	2025	CARDINAL
ejpam-6173	730	5	6173 28	DATE
ejpam-6173	730	6	32	CARDINAL
ejpam-6173	730	7	10	CARDINAL
ejpam-6173	730	8	101	CARDINAL
ejpam-6173	730	9	o l	DATE
ejpam-6173	730	10	7	CARDINAL
ejpam-6173	730	11	2	CARDINAL
ejpam-6173	730	12	10	CARDINAL
ejpam-6173	730	13	101	CARDINAL
ejpam-6173	730	14	o l	DATE
ejpam-6173	731	1	8	CARDINAL
ejpam-6173	732	1	2	CARDINAL
ejpam-6173	732	2	d. america	LOC
ejpam-6173	732	3	56:1080–1086, 1966	DATE
ejpam-6173	733	1	4	CARDINAL
ejpam-6173	733	2	e. blum	PERSON
ejpam-6173	733	3	w. oettli	PERSON
ejpam-6173	735	1	63:123–145	CARDINAL
ejpam-6173	735	2	1994	DATE
ejpam-6173	736	1	5	CARDINAL
ejpam-6173	736	2	m. aslam noor	PERSON
ejpam-6173	736	3	w. oettli	PERSON
ejpam-6173	737	1	matematiche	ORG
ejpam-6173	737	2	49:313–331, 1994	DATE
ejpam-6173	738	1	6	CARDINAL
ejpam-6173	738	2	s. a. hirstoaga	PERSON
ejpam-6173	740	1	journal of nonlinear	ORG
ejpam-6173	740	2	6:117–136, 2005	DATE
ejpam-6173	741	1	7	CARDINAL
ejpam-6173	741	2	s. d. flam	PERSON
ejpam-6173	741	3	a. s. antipin	PERSON
ejpam-6173	743	1	78:29–41, 1997	DATE
ejpam-6173	744	1	8	CARDINAL
ejpam-6173	744	2	g. kassay	PERSON
ejpam-6173	744	3	s. reich	PERSON
ejpam-6173	744	4	s. sabach	PERSON
ejpam-6173	746	1	siam journal	ORG
ejpam-6173	747	1	darvish et al	PERSON
ejpam-6173	748	1	j. pure	PERSON
ejpam-6173	748	2	18	CARDINAL
ejpam-6173	748	3	3	CARDINAL
ejpam-6173	748	4	2025	CARDINAL
ejpam-6173	748	5	6173 29	DATE
ejpam-6173	748	6	32 21:1319–1344, 2011	DATE
ejpam-6173	749	1	9	CARDINAL
ejpam-6173	749	2	s. reich	PERSON
ejpam-6173	749	3	s. sabach	PERSON
ejpam-6173	750	1	three	CARDINAL
ejpam-6173	751	1	568:225–240	DATE
ejpam-6173	751	2	2012	DATE
ejpam-6173	752	1	10	CARDINAL
ejpam-6173	752	2	s. takahashi	PERSON
ejpam-6173	752	3	w. takahashi	PERSON
ejpam-6173	753	1	hilbert spaces	ORG
ejpam-6173	754	1	2007	DATE
ejpam-6173	755	1	11	CARDINAL
ejpam-6173	755	2	j. w. peng	PERSON
ejpam-6173	755	3	j. c. yao	PERSON
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ejpam-6173	823	2	second	ORDINAL
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ejpam-6173	831	1	36	CARDINAL
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ejpam-6173	850	1	journal of nonlinear	ORG
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ejpam-6173	859	1	houston journal of mathematics	ORG
ejpam-6173	859	2	3:459–470	CARDINAL
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ejpam-6173	860	1	45	CARDINAL
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ejpam-6173	865	2	6:505–523, 2005	DATE
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ejpam-6173	868	2	2013	DATE
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ejpam-6173	869	2	c. zălinescu	GPE
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ejpam-6173	875	1	50	CARDINAL
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ejpam-6173	883	2	2012	DATE
ejpam-6173	884	1	53	CARDINAL
ejpam-6173	886	1	siam journal	ORG
ejpam-6173	886	2	21:1289–1308, 2011	DATE
ejpam-6173	887	1	54	CARDINAL
ejpam-6173	887	2	h. h. bauschke	PERSON
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ejpam-6173	890	2	wi, usa	ORG
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ejpam-6173	891	1	55	CARDINAL
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ejpam-6173	893	1	10:35–61,	DATE
ejpam-6173	893	2	2003	DATE
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ejpam-6173	896	3	3	CARDINAL
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ejpam-6173	896	5	6173 32	DATE
ejpam-6173	896	6	32	DATE
ejpam-6173	897	1	filomat	ORG
ejpam-6173	897	2	31(15):4673–4693	CARDINAL
ejpam-6173	897	3	2017	DATE