id	sid	eid	entity	type
ejpam-6802	1	1	european journal	ORG
ejpam-6802	1	2	2025	DATE
ejpam-6802	1	3	18	CARDINAL
ejpam-6802	1	4	4	CARDINAL
ejpam-6802	1	5	6802	CARDINAL
ejpam-6802	1	6	1307-5543	DATE
ejpam-6802	1	7	new york	GPE
ejpam-6802	1	8	multiplicative cone bipolar metric	QUANTITY
ejpam-6802	1	9	alkharj	GPE
ejpam-6802	1	10	prince sattam bin abdulaziz university	PERSON
ejpam-6802	1	11	11942	DATE
ejpam-6802	1	12	saudi arabia	GPE
ejpam-6802	7	1	2020	DATE
ejpam-6802	7	2	47h10	CARDINAL
ejpam-6802	7	3	54h25	CARDINAL
ejpam-6802	7	4	1	CARDINAL
ejpam-6802	9	1	1	CARDINAL
ejpam-6802	9	2	kannan	PERSON
ejpam-6802	9	3	2	CARDINAL
ejpam-6802	10	1	3	CARDINAL
ejpam-6802	11	1	the past nineteenth and twentieth centuries	DATE
ejpam-6802	12	1	these centuries	DATE
ejpam-6802	12	2	normed spaces	ORG
ejpam-6802	13	1	x3	GPE
ejpam-6802	14	1	years	DATE
ejpam-6802	18	1	r.gopalan@psau.edu.sa	PERSON
ejpam-6802	18	2	r. ramaswamy	PERSON
ejpam-6802	18	3	1	CARDINAL
ejpam-6802	18	4	2025	CARDINAL
ejpam-6802	19	1	r. ramaswamy	PERSON
ejpam-6802	20	1	j. pure	PERSON
ejpam-6802	20	2	18	CARDINAL
ejpam-6802	20	3	4	CARDINAL
ejpam-6802	20	4	2025	CARDINAL
ejpam-6802	20	5	6802 2	DATE
ejpam-6802	20	6	20	CARDINAL
ejpam-6802	20	7	one	CARDINAL
ejpam-6802	21	1	one	CARDINAL
ejpam-6802	21	2	2007	DATE
ejpam-6802	21	3	huang	PERSON
ejpam-6802	22	1	5	CARDINAL
ejpam-6802	24	1	6–9	CARDINAL
ejpam-6802	25	1	2016	DATE
ejpam-6802	25	2	mutlu & u. gürdal,[10	ORG
ejpam-6802	25	3	contra	NORP
ejpam-6802	25	4	11	CARDINAL
ejpam-6802	26	1	12–19	CARDINAL
ejpam-6802	27	1	2021	CARDINAL
ejpam-6802	27	2	gaba	ORG
ejpam-6802	27	3	20	CARDINAL
ejpam-6802	28	1	2007[21	CARDINAL
ejpam-6802	29	1	contracton	ORG
ejpam-6802	33	1	section 2	LAW
ejpam-6802	35	1	the united nations	ORG
ejpam-6802	35	2	22–26	CARDINAL
ejpam-6802	37	1	2	CARDINAL
ejpam-6802	38	1	0	CARDINAL
ejpam-6802	38	2	∈	ORG
ejpam-6802	38	3	0	CARDINAL
ejpam-6802	38	4	∈	ORG
ejpam-6802	38	5	∈	ORG
ejpam-6802	39	1	∈	ORG
ejpam-6802	40	1	0	CARDINAL
ejpam-6802	41	1	⊂	GPE
ejpam-6802	44	1	∈	ORG
ejpam-6802	44	2	0 ≤	MONEY
ejpam-6802	45	1	r. ramaswamy	PERSON
ejpam-6802	46	1	j. pure	PERSON
ejpam-6802	46	2	18	CARDINAL
ejpam-6802	46	3	4	CARDINAL
ejpam-6802	46	4	2025	CARDINAL
ejpam-6802	46	5	6802 3	DATE
ejpam-6802	46	6	20	CARDINAL
ejpam-6802	49	1	∈	ORG
ejpam-6802	49	2	||qℓ	DATE
ejpam-6802	52	1	̸=	ORG
ejpam-6802	52	2	z.	PERSON
ejpam-6802	52	3	2.1	CARDINAL
ejpam-6802	53	1	α(q	PERSON
ejpam-6802	53	2	1	CARDINAL
ejpam-6802	54	1	1	CARDINAL
ejpam-6802	55	1	α(q	PERSON
ejpam-6802	55	2	1	CARDINAL
ejpam-6802	55	3	α(q	PERSON
ejpam-6802	55	4	∈	ORG
ejpam-6802	55	5	α(q	PERSON
ejpam-6802	55	6	ω)α(β	DATE
ejpam-6802	55	7	ω)α(β	DATE
ejpam-6802	55	8	∈	ORG
ejpam-6802	55	9	ω	ORG
ejpam-6802	55	10	∈	ORG
ejpam-6802	58	1	1	CARDINAL
ejpam-6802	60	1	0	CARDINAL
ejpam-6802	60	2	1	CARDINAL
ejpam-6802	61	1	1	CARDINAL
ejpam-6802	61	2	2	CARDINAL
ejpam-6802	61	3	α(q	PERSON
ejpam-6802	63	1	2.2	CARDINAL
ejpam-6802	66	1	α1) & (	ORG
ejpam-6802	66	2	mcbms & ω	ORG
ejpam-6802	66	3	f2	ORG
ejpam-6802	67	1	⊆	CARDINAL
ejpam-6802	68	1	⊆	CARDINAL
ejpam-6802	68	2	ω	ORG
ejpam-6802	69	1	ω	ORDINAL
ejpam-6802	69	2	f2,b2	ORG
ejpam-6802	69	3	ω	ORG
ejpam-6802	70	1	2.3	CARDINAL
ejpam-6802	72	1	0	CARDINAL
ejpam-6802	72	2	∈	ORG
ejpam-6802	73	1	0	CARDINAL
ejpam-6802	73	2	∈	ORG
ejpam-6802	73	3	ℓ ≥	GPE
ejpam-6802	73	4	α(q	PERSON
ejpam-6802	73	5	z.	PERSON
ejpam-6802	73	6	2.4	DATE
ejpam-6802	75	1	r. ramaswamy	PERSON
ejpam-6802	76	1	j. pure	PERSON
ejpam-6802	76	2	18	CARDINAL
ejpam-6802	76	3	4	CARDINAL
ejpam-6802	76	4	2025	CARDINAL
ejpam-6802	76	5	6802 4	DATE
ejpam-6802	77	1	∈	ORG
ejpam-6802	77	2	z	ORG
ejpam-6802	77	3	0	CARDINAL
ejpam-6802	77	4	∃	ORG
ejpam-6802	77	5	0	CARDINAL
ejpam-6802	77	6	δ s.t	PERSON
ejpam-6802	77	7	∈ f1 & α1(q0	ORG
ejpam-6802	77	8	ω(ϑ	DATE
ejpam-6802	78	1	z.	PERSON
ejpam-6802	79	1	∈	ORG
ejpam-6802	79	2	z	ORG
ejpam-6802	79	3	0	CARDINAL
ejpam-6802	79	4	∃	ORG
ejpam-6802	79	5	0	CARDINAL
ejpam-6802	79	6	δ s.t	PERSON
ejpam-6802	79	7	∈	ORG
ejpam-6802	79	8	α2(ω(q),ω(ϑ0	DATE
ejpam-6802	79	9	z.	PERSON
ejpam-6802	79	10	∈ b1 &	ORG
ejpam-6802	81	1	ω(z	PERSON
ejpam-6802	82	1	2.5	CARDINAL
ejpam-6802	84	1	α(q	PERSON
ejpam-6802	84	2	∈	ORG
ejpam-6802	84	3	∈	ORG
ejpam-6802	85	1	α(q	PERSON
ejpam-6802	85	2	∈	ORG
ejpam-6802	85	3	∈	ORG
ejpam-6802	86	1	λ=1	ORG
ejpam-6802	86	2	0	CARDINAL
ejpam-6802	86	3	1	CARDINAL
ejpam-6802	87	1	2.6	CARDINAL
ejpam-6802	91	1	∈	ORG
ejpam-6802	92	1	0	CARDINAL
ejpam-6802	92	2	∃	ORG
ejpam-6802	92	3	∈	ORG
ejpam-6802	92	4	s.t	PERSON
ejpam-6802	92	5	2.7	CARDINAL
ejpam-6802	95	1	3	CARDINAL
ejpam-6802	95	2	first	ORDINAL
ejpam-6802	96	1	3.1	CARDINAL
ejpam-6802	97	1	w &.	ORG
ejpam-6802	99	1	r. ramaswamy	PERSON
ejpam-6802	100	1	j. pure	PERSON
ejpam-6802	100	2	18	CARDINAL
ejpam-6802	100	3	4	CARDINAL
ejpam-6802	100	4	2025	CARDINAL
ejpam-6802	100	5	6802 5	DATE
ejpam-6802	100	6	20	CARDINAL
ejpam-6802	101	1	q0∈ b & ϑ0∈f	ORG
ejpam-6802	106	1	ϑℓ−1	ORG
ejpam-6802	110	1	α(qℓ+p	ORG
ejpam-6802	110	2	ϑℓ+1)α(qℓ	GPE
ejpam-6802	110	3	ϑℓ+1)α(qℓ	PERSON
ejpam-6802	110	4	1−λ	CARDINAL
ejpam-6802	110	5	ϑℓ+p	GPE
ejpam-6802	110	6	1−λ	CARDINAL
ejpam-6802	112	1	1−λ	CARDINAL
ejpam-6802	115	1	∈	ORG
ejpam-6802	115	2	ω(ϑℓ	CARDINAL
ejpam-6802	115	3	∈	ORG
ejpam-6802	116	1	ω	ORG
ejpam-6802	116	2	ω(ϑℓ	CARDINAL
ejpam-6802	117	1	ω	CARDINAL
ejpam-6802	118	1	ω(z	PERSON
ejpam-6802	118	2	z))λ r. ramaswamy	PERSON
ejpam-6802	119	1	j. pure	PERSON
ejpam-6802	119	2	18	CARDINAL
ejpam-6802	119	3	4	CARDINAL
ejpam-6802	119	4	2025	CARDINAL
ejpam-6802	119	5	6802 6	DATE
ejpam-6802	119	6	20	CARDINAL
ejpam-6802	119	7	1	CARDINAL
ejpam-6802	119	8	α(x	ORG
ejpam-6802	119	9	z.	PERSON
ejpam-6802	124	1	α(u	ORG
ejpam-6802	127	1	4	CARDINAL
ejpam-6802	128	1	α(t	ORG
ejpam-6802	129	1	1 2	CARDINAL
ejpam-6802	129	2	α(u	GPE
ejpam-6802	130	1	3.1	CARDINAL
ejpam-6802	130	2	1 2	CARDINAL
ejpam-6802	130	3	∈	ORG
ejpam-6802	132	1	3	CARDINAL
ejpam-6802	132	2	∈	ORG
ejpam-6802	134	1	0	CARDINAL
ejpam-6802	134	2	1	CARDINAL
ejpam-6802	134	3	0	CARDINAL
ejpam-6802	134	4	1	CARDINAL
ejpam-6802	134	5	α(q	PERSON
ejpam-6802	134	6	∈	ORG
ejpam-6802	134	7	∈	ORG
ejpam-6802	136	1	ω	ORG
ejpam-6802	136	2	ω(q	PERSON
ejpam-6802	137	1	5	CARDINAL
ejpam-6802	137	2	∈	ORG
ejpam-6802	137	3	0	CARDINAL
ejpam-6802	137	4	1	CARDINAL
ejpam-6802	137	5	0	DATE
ejpam-6802	137	6	0} ∪	MONEY
ejpam-6802	137	7	1	CARDINAL
ejpam-6802	137	8	∈	ORG
ejpam-6802	138	1	∈	ORG
ejpam-6802	138	2	∈	ORG
ejpam-6802	138	3	α(ωq	CARDINAL
ejpam-6802	139	1	5 −0| ≤	MONEY
ejpam-6802	139	2	1 2	CARDINAL
ejpam-6802	139	3	1 2	CARDINAL
ejpam-6802	140	1	3.1	CARDINAL
ejpam-6802	140	2	& ω	ORG
ejpam-6802	141	1	0	CARDINAL
ejpam-6802	143	1	r. ramaswamy	PERSON
ejpam-6802	144	1	j. pure	PERSON
ejpam-6802	144	2	18	CARDINAL
ejpam-6802	144	3	4	CARDINAL
ejpam-6802	144	4	2025	CARDINAL
ejpam-6802	144	5	6802 7	DATE
ejpam-6802	144	6	20	CARDINAL
ejpam-6802	144	7	3.2	DATE
ejpam-6802	145	1	w &	ORG
ejpam-6802	152	1	z+	ORG
ejpam-6802	152	2	ϑℓ−1	ORG
ejpam-6802	153	1	ϑℓ−1	ORG
ejpam-6802	159	1	α(qℓ+p	ORG
ejpam-6802	159	2	ϑℓ+2)α(qℓ+2	PRODUCT
ejpam-6802	159	3	ϑℓ+2)α(qℓ+2	PRODUCT
ejpam-6802	161	1	1−λ	CARDINAL
ejpam-6802	162	1	ϑℓ+p	GPE
ejpam-6802	162	2	ϑℓ+p	GPE
ejpam-6802	162	3	ϑℓ+p	GPE
ejpam-6802	162	4	λ2ℓ+λ2ℓ+1+λ2ℓ+2+λ2ℓ+3)α(qℓ+2	ORG
ejpam-6802	162	5	ϑℓ+p	GPE
ejpam-6802	162	6	r. ramaswamy	PERSON
ejpam-6802	163	1	j. pure	PERSON
ejpam-6802	163	2	18	CARDINAL
ejpam-6802	163	3	4	CARDINAL
ejpam-6802	163	4	2025	CARDINAL
ejpam-6802	163	5	6802 8	DATE
ejpam-6802	163	6	λ2ℓ+λ2ℓ+1+···+λ2ℓ+2p−1)α(qℓ+p	ORG
ejpam-6802	163	7	ϑℓ+p	GPE
ejpam-6802	164	1	1−λ	CARDINAL
ejpam-6802	165	1	3	CARDINAL
ejpam-6802	168	1	∈	ORG
ejpam-6802	169	1	ω	ORG
ejpam-6802	169	2	ω(x	DATE
ejpam-6802	169	3	x.	PERSON
ejpam-6802	169	4	ω(z	PERSON
ejpam-6802	169	5	∈	ORG
ejpam-6802	169	6	α(x	ORG
ejpam-6802	169	7	α(x	DATE
ejpam-6802	169	8	z))λ	GPE
ejpam-6802	169	9	α(x	CARDINAL
ejpam-6802	170	1	1	CARDINAL
ejpam-6802	171	1	∈	ORG
ejpam-6802	172	1	0	CARDINAL
ejpam-6802	172	2	1	DATE
ejpam-6802	172	3	2	DATE
ejpam-6802	172	4	7	CARDINAL
ejpam-6802	172	5	0	CARDINAL
ejpam-6802	172	6	14	DATE
ejpam-6802	172	7	1 2	CARDINAL
ejpam-6802	172	8	3	CARDINAL
ejpam-6802	172	9	α(q	PERSON
ejpam-6802	173	1	∈	ORG
ejpam-6802	173	2	∈	ORG
ejpam-6802	175	1	ω	ORG
ejpam-6802	175	2	ω(q	PERSON
ejpam-6802	176	1	1 4	DATE
ejpam-6802	176	2	2	CARDINAL
ejpam-6802	176	3	7	DATE
ejpam-6802	176	4	0	DATE
ejpam-6802	176	5	0	CARDINAL
ejpam-6802	176	6	14	DATE
ejpam-6802	176	7	1 2	CARDINAL
ejpam-6802	176	8	1	DATE
ejpam-6802	176	9	3	CARDINAL
ejpam-6802	176	10	∈	ORG
ejpam-6802	177	1	∈	ORG
ejpam-6802	177	2	∈	ORG
ejpam-6802	177	3	α(ωq	CARDINAL
ejpam-6802	177	4	α(q	PERSON
ejpam-6802	177	5	1 2	CARDINAL
ejpam-6802	178	1	3.2	CARDINAL
ejpam-6802	178	2	& ω	ORG
ejpam-6802	178	3	0	CARDINAL
ejpam-6802	179	1	kannan	GPE
ejpam-6802	179	2	2	CARDINAL
ejpam-6802	180	1	r. ramaswamy	PERSON
ejpam-6802	181	1	j. pure	PERSON
ejpam-6802	181	2	18	CARDINAL
ejpam-6802	181	3	4	CARDINAL
ejpam-6802	181	4	2025	CARDINAL
ejpam-6802	181	5	6802 9	DATE
ejpam-6802	181	6	20	CARDINAL
ejpam-6802	181	7	3.3	CARDINAL
ejpam-6802	182	1	ω	ORG
ejpam-6802	182	2	0	CARDINAL
ejpam-6802	182	3	12	DATE
ejpam-6802	182	4	α(q	ORG
ejpam-6802	182	5	ωq)α(ωϑ	DATE
ejpam-6802	182	6	ϑ))β	ORG
ejpam-6802	182	7	∈	ORG
ejpam-6802	182	8	∈	ORG
ejpam-6802	183	1	b∪f	PERSON
ejpam-6802	185	1	∈	ORG
ejpam-6802	185	2	integer ℓ	ORG
ejpam-6802	185	3	ωqℓ	CARDINAL
ejpam-6802	185	4	α(ωϑℓ−1,ωqℓ	CARDINAL
ejpam-6802	185	5	ϑℓ−1	ORG
ejpam-6802	186	1	ϑℓ−1	ORG
ejpam-6802	187	1	1	CARDINAL
ejpam-6802	188	1	ϑℓ−1	ORG
ejpam-6802	188	2	1−β	CARDINAL
ejpam-6802	188	3	ϑℓ−1	ORG
ejpam-6802	188	4	ϑℓ−1	ORG
ejpam-6802	188	5	α(qℓ−1	PERSON
ejpam-6802	188	6	ϑℓ−1	ORG
ejpam-6802	189	1	ϑℓ−1	ORG
ejpam-6802	189	2	ϑℓ−1	ORG
ejpam-6802	189	3	1−β	CARDINAL
ejpam-6802	190	1	1−β	CARDINAL
ejpam-6802	190	2	0	CARDINAL
ejpam-6802	190	3	1	CARDINAL
ejpam-6802	190	4	0	CARDINAL
ejpam-6802	190	5	12	CARDINAL
ejpam-6802	192	1	ϑℓ−1	ORG
ejpam-6802	193	1	ȷ2ℓ−1	ORG
ejpam-6802	197	1	1−ȷ	CARDINAL
ejpam-6802	198	1	r. ramaswamy	PERSON
ejpam-6802	199	1	j. pure	PERSON
ejpam-6802	199	2	18	CARDINAL
ejpam-6802	199	3	4	CARDINAL
ejpam-6802	199	4	2025	CARDINAL
ejpam-6802	199	5	6802 10 of 20	DATE
ejpam-6802	199	6	1	CARDINAL
ejpam-6802	199	7	ϑr)α(qr+1	ORG
ejpam-6802	199	8	ϑr+1)α(qℓ	PERSON
ejpam-6802	199	9	ȷ2r+1+ȷ2r+2)α(qℓ	ORG
ejpam-6802	199	10	ϑr+1	ORG
ejpam-6802	201	1	1−ȷ	CARDINAL
ejpam-6802	202	1	1	CARDINAL
ejpam-6802	204	1	∈	ORG
ejpam-6802	207	1	1.	CARDINAL
ejpam-6802	208	1	x.	EVENT
ejpam-6802	209	1	α(x	DATE
ejpam-6802	209	2	α(x	ORG
ejpam-6802	209	3	x)α(v	GPE
ejpam-6802	209	4	1	CARDINAL
ejpam-6802	210	1	3.4	CARDINAL
ejpam-6802	211	1	w & ω	ORG
ejpam-6802	211	2	⇄	DATE
ejpam-6802	211	3	α(q,ωq)α(sϑ	ORG
ejpam-6802	211	4	α(q	PERSON
ejpam-6802	212	1	α(q	PERSON
ejpam-6802	212	2	1	CARDINAL
ejpam-6802	212	3	r. ramaswamy	PERSON
ejpam-6802	213	1	j. pure	PERSON
ejpam-6802	213	2	18	CARDINAL
ejpam-6802	213	3	4	CARDINAL
ejpam-6802	213	4	2025	CARDINAL
ejpam-6802	213	5	6802 11	DATE
ejpam-6802	213	6	20	DATE
ejpam-6802	214	1	γ	GPE
ejpam-6802	214	2	γ	GPE
ejpam-6802	214	3	1	CARDINAL
ejpam-6802	215	1	ω	GPE
ejpam-6802	217	1	∈ b &	ORG
ejpam-6802	217	2	∈	ORG
ejpam-6802	218	1	0	CARDINAL
ejpam-6802	218	2	sq2ℓ	ORG
ejpam-6802	218	3	= q2ℓ+2	PERSON
ejpam-6802	218	4	1	CARDINAL
ejpam-6802	221	1	1−β−ı	CARDINAL
ejpam-6802	222	1	2	CARDINAL
ejpam-6802	222	2	α(sϑ2ℓ,ωq2ℓ	CARDINAL
ejpam-6802	222	3	α(q2ℓ	GPE
ejpam-6802	223	1	α(q2ℓ	GPE
ejpam-6802	223	2	α(q2ℓ,ωq2ℓ	CARDINAL
ejpam-6802	223	3	α(q2ℓ	ORG
ejpam-6802	223	4	α(q2ℓ	GPE
ejpam-6802	223	5	α(q2ℓ	GPE
ejpam-6802	223	6	α(q2ℓ	GPE
ejpam-6802	224	1	β(α(q2ℓ	ORDINAL
ejpam-6802	224	2	γ(α(q2ℓ	DATE
ejpam-6802	224	3	α(q2ℓ	ORG
ejpam-6802	225	1	1−β−ı	CARDINAL
ejpam-6802	226	1	3	CARDINAL
ejpam-6802	227	1	0	CARDINAL
ejpam-6802	227	2	1	CARDINAL
ejpam-6802	228	1	1−β−ı	CARDINAL
ejpam-6802	229	1	0	CARDINAL
ejpam-6802	229	2	1	CARDINAL
ejpam-6802	230	1	2	CARDINAL
ejpam-6802	230	2	3	CARDINAL
ejpam-6802	230	3	℘4ℓ+2	ORG
ejpam-6802	231	1	4	CARDINAL
ejpam-6802	231	2	r. ramaswamy	PERSON
ejpam-6802	232	1	j. pure	PERSON
ejpam-6802	232	2	18	CARDINAL
ejpam-6802	232	3	4	CARDINAL
ejpam-6802	232	4	2025	CARDINAL
ejpam-6802	232	5	6802 12 of 20	DATE
ejpam-6802	233	1	℘2ℓ	PERSON
ejpam-6802	234	1	1	CARDINAL
ejpam-6802	236	1	℘2ℓ	PERSON
ejpam-6802	237	1	℘2ℓ+3 α(qℓ+2	ORG
ejpam-6802	238	1	℘2ℓ(1+℘+℘2+℘3	GPE
ejpam-6802	239	1	℘2ℓ	PERSON
ejpam-6802	240	1	1	CARDINAL
ejpam-6802	240	2	1	CARDINAL
ejpam-6802	240	3	2	CARDINAL
ejpam-6802	241	1	ϑr)α(qr+1	ORG
ejpam-6802	241	2	ϑr+1)α(qℓ	PERSON
ejpam-6802	242	1	α(qℓ	CARDINAL
ejpam-6802	242	2	℘2r+1+℘2r+2)α(qr+2	PERSON
ejpam-6802	244	1	1 1−℘	CARDINAL
ejpam-6802	245	1	1	CARDINAL
ejpam-6802	245	2	1	CARDINAL
ejpam-6802	247	1	∈	ORG
ejpam-6802	248	1	s(q2ℓ	GPE
ejpam-6802	248	2	{q2ℓ+2	PERSON
ejpam-6802	248	3	∈	ORG
ejpam-6802	248	4	ω ⇒	FAC
ejpam-6802	248	5	r. ramaswamy	PERSON
ejpam-6802	249	1	j. pure	PERSON
ejpam-6802	249	2	18	CARDINAL
ejpam-6802	249	3	4	CARDINAL
ejpam-6802	249	4	2025	CARDINAL
ejpam-6802	249	5	6802 13	DATE
ejpam-6802	249	6	20	CARDINAL
ejpam-6802	249	7	∈	ORG
ejpam-6802	249	8	∈	ORG
ejpam-6802	251	1	q∗)α(ϑ∗	ORG
ejpam-6802	252	1	q∗)α(ϑ∗	ORG
ejpam-6802	253	1	3.5	CARDINAL
ejpam-6802	254	1	w	GPE
ejpam-6802	254	2	ω	GPE
ejpam-6802	254	3	⇄	DATE
ejpam-6802	254	4	α(q	PERSON
ejpam-6802	254	5	ωq)α(q	ORG
ejpam-6802	254	6	ϑ)α(ϑ,ωq	GPE
ejpam-6802	254	7	α(q	PERSON
ejpam-6802	255	1	5	CARDINAL
ejpam-6802	255	2	0	CARDINAL
ejpam-6802	255	3	12	DATE
ejpam-6802	256	1	ω	GPE
ejpam-6802	258	1	∈	ORG
ejpam-6802	258	2	0	CARDINAL
ejpam-6802	258	3	sq2ℓ	ORG
ejpam-6802	258	4	= q2ℓ+2	PERSON
ejpam-6802	258	5	5	CARDINAL
ejpam-6802	259	1	q2ℓ+1)α(ϑ2ℓ	GPE
ejpam-6802	260	1	1−β	CARDINAL
ejpam-6802	260	2	1−β	CARDINAL
ejpam-6802	261	1	6	CARDINAL
ejpam-6802	261	2	α(sϑ2ℓ,ωq2ℓ	CARDINAL
ejpam-6802	261	3	ϑ2ℓ)α(ϑ2ℓ,ωq2ℓ	GPE
ejpam-6802	261	4	α(q2ℓ,sϑ2ℓ)α(ϑ2ℓ,sq2ℓ	GPE
ejpam-6802	262	1	r.	NORP
ejpam-6802	263	1	j. pure	PERSON
ejpam-6802	263	2	18	CARDINAL
ejpam-6802	263	3	4	CARDINAL
ejpam-6802	263	4	2025	CARDINAL
ejpam-6802	263	5	6802 14	DATE
ejpam-6802	263	6	20	CARDINAL
ejpam-6802	263	7	α(q2ℓ	GPE
ejpam-6802	263	8	α(q2ℓ	GPE
ejpam-6802	263	9	q2ℓ+1)α(ϑ2ℓ	GPE
ejpam-6802	265	1	1−β	CARDINAL
ejpam-6802	265	2	α(q2ℓ	ORG
ejpam-6802	265	3	1−β	CARDINAL
ejpam-6802	266	1	7	CARDINAL
ejpam-6802	266	2	1−β	CARDINAL
ejpam-6802	266	3	0	CARDINAL
ejpam-6802	266	4	1	CARDINAL
ejpam-6802	266	5	0	CARDINAL
ejpam-6802	266	6	12	CARDINAL
ejpam-6802	267	1	two	CARDINAL
ejpam-6802	267	2	6	CARDINAL
ejpam-6802	267	3	7	CARDINAL
ejpam-6802	273	1	1	CARDINAL
ejpam-6802	277	1	1 1−ȷ	CARDINAL
ejpam-6802	279	1	0	CARDINAL
ejpam-6802	279	2	2	CARDINAL
ejpam-6802	280	1	ϑr)α(qr+1	ORG
ejpam-6802	280	2	ϑr+1)α(qℓ	PERSON
ejpam-6802	282	1	ϑr+1	ORG
ejpam-6802	282	2	r. ramaswamy	PERSON
ejpam-6802	283	1	j. pure	PERSON
ejpam-6802	283	2	18	CARDINAL
ejpam-6802	283	3	4	CARDINAL
ejpam-6802	283	4	2025	CARDINAL
ejpam-6802	283	5	6802 15 of 20 α(qr+2	DATE
ejpam-6802	286	1	1 1−ȷ	CARDINAL
ejpam-6802	290	1	∈	ORG
ejpam-6802	291	1	{q2ℓ+2	PERSON
ejpam-6802	291	2	∈	ORG
ejpam-6802	291	3	ω ⇒	GPE
ejpam-6802	291	4	ω & s	ORG
ejpam-6802	292	1	∈	ORG
ejpam-6802	292	2	∈	ORG
ejpam-6802	295	1	ϖ∗)α(ϖ∗	PRODUCT
ejpam-6802	295	2	ϑ∗)α(ϑ∗	NORP
ejpam-6802	295	3	ϑ∗)α(ϑ∗	NORP
ejpam-6802	295	4	ϑ∗)α(ϑ∗	NORP
ejpam-6802	296	1	1	CARDINAL
ejpam-6802	297	1	4	CARDINAL
ejpam-6802	297	2	3.1	CARDINAL
ejpam-6802	297	3	4.1	CARDINAL
ejpam-6802	298	1	q(φ	PRODUCT
ejpam-6802	300	1	q(s))ds	GPE
ejpam-6802	300	2	9	CARDINAL
ejpam-6802	301	1	2	CARDINAL
ejpam-6802	303	1	∃	CARDINAL
ejpam-6802	303	2	2	CARDINAL
ejpam-6802	303	3	0	CARDINAL
ejpam-6802	303	4	1	CARDINAL
ejpam-6802	303	5	s.t |g(φ	PERSON
ejpam-6802	303	6	s)(|q(s)− ϑ(s)|	GPE
ejpam-6802	303	7	φ	ORG
ejpam-6802	303	8	2	CARDINAL
ejpam-6802	303	9	θ(φ	GPE
ejpam-6802	304	1	r. ramaswamy	PERSON
ejpam-6802	305	1	j. pure	PERSON
ejpam-6802	305	2	18	CARDINAL
ejpam-6802	305	3	4	CARDINAL
ejpam-6802	305	4	2025	CARDINAL
ejpam-6802	305	5	6802 16 of 20	DATE
ejpam-6802	305	6	9	CARDINAL
ejpam-6802	308	1	two	CARDINAL
ejpam-6802	308	2	normed linear spaces	ORG
ejpam-6802	309	1	α(q	PERSON
ejpam-6802	313	1	e1∪e2 g(φ	PERSON
ejpam-6802	313	2	q(s))ds	GPE
ejpam-6802	315	1	|ωq(φ)−ωϑ(φ)|	ORG
ejpam-6802	315	2	e1∪e2 g(φ	PERSON
ejpam-6802	315	3	q(s))ds−	ORG
ejpam-6802	315	4	e1∪e2 g(φ	PERSON
ejpam-6802	315	5	q(s))ds	GPE
ejpam-6802	315	6	∫ e1∪e2 |g(φ	PERSON
ejpam-6802	316	1	∫ e1∪e2 λθ(φ	PERSON
ejpam-6802	316	2	s)(|q(s)−ϑ(s)|)ds ≤ e λ(supφ∈e1∪e2	MONEY
ejpam-6802	316	3	∫ e1∪e2 θ(φ	PERSON
ejpam-6802	316	4	α(q	PERSON
ejpam-6802	316	5	3.1	CARDINAL
ejpam-6802	317	1	4.1	CARDINAL
ejpam-6802	320	1	1	CARDINAL
ejpam-6802	320	2	0	CARDINAL
ejpam-6802	320	3	1	CARDINAL
ejpam-6802	320	4	η −	ORG
ejpam-6802	320	5	0	CARDINAL
ejpam-6802	320	6	1	CARDINAL
ejpam-6802	320	7	γ	GPE
ejpam-6802	320	8	euler gamma	PERSON
ejpam-6802	324	1	0	CARDINAL
ejpam-6802	324	2	1 ≤ η	QUANTITY
ejpam-6802	324	3	2 ≤	MONEY
ejpam-6802	324	4	1	CARDINAL
ejpam-6802	325	1	0	CARDINAL
ejpam-6802	325	2	10	CARDINAL
ejpam-6802	325	3	0	CARDINAL
ejpam-6802	325	4	1	CARDINAL
ejpam-6802	326	1	1	CARDINAL
ejpam-6802	326	2	0 sℓ(e)de	PERSON
ejpam-6802	326	3	η −	ORG
ejpam-6802	326	4	e)q−ℓ+1	DATE
ejpam-6802	326	5	r. ramaswamy	PERSON
ejpam-6802	327	1	j. pure	PERSON
ejpam-6802	327	2	18	CARDINAL
ejpam-6802	327	3	4	CARDINAL
ejpam-6802	327	4	2025	CARDINAL
ejpam-6802	327	5	6802 17	DATE
ejpam-6802	327	6	20	CARDINAL
ejpam-6802	327	7	1	CARDINAL
ejpam-6802	327	8	g ∈ a|g(η	PERSON
ejpam-6802	327	9	0	CARDINAL
ejpam-6802	327	10	1	CARDINAL
ejpam-6802	328	1	1	CARDINAL
ejpam-6802	328	2	−+∞	GPE
ejpam-6802	328	3	0	CARDINAL
ejpam-6802	328	4	1	CARDINAL
ejpam-6802	328	5	1	CARDINAL
ejpam-6802	329	1	α(s	PERSON
ejpam-6802	334	1	4.2	CARDINAL
ejpam-6802	335	1	10	CARDINAL
ejpam-6802	336	1	∃ η ∈	PERSON
ejpam-6802	337	1	0	CARDINAL
ejpam-6802	337	2	1	CARDINAL
ejpam-6802	337	3	0	CARDINAL
ejpam-6802	337	4	1	CARDINAL
ejpam-6802	339	1	1 0	DATE
ejpam-6802	340	1	10	CARDINAL
ejpam-6802	342	1	10	CARDINAL
ejpam-6802	343	1	1	CARDINAL
ejpam-6802	343	2	g(η	GPE
ejpam-6802	344	1	γ(q	PERSON
ejpam-6802	344	2	0 ≤ e ≤	MONEY
ejpam-6802	345	1	0 ≤ η	MONEY
ejpam-6802	345	2	1	CARDINAL
ejpam-6802	346	1	1	CARDINAL
ejpam-6802	346	2	1	CARDINAL
ejpam-6802	346	3	1	CARDINAL
ejpam-6802	348	1	r. ramaswamy	PERSON
ejpam-6802	349	1	j. pure	PERSON
ejpam-6802	349	2	18	CARDINAL
ejpam-6802	349	3	4	CARDINAL
ejpam-6802	349	4	2025	CARDINAL
ejpam-6802	349	5	6802 18	DATE
ejpam-6802	349	6	20 ≤	QUANTITY
ejpam-6802	349	7	α(ωs	PERSON
ejpam-6802	352	1	α(s	PERSON
ejpam-6802	353	1	3.1	CARDINAL
ejpam-6802	353	2	10	CARDINAL
ejpam-6802	354	1	5	CARDINAL
ejpam-6802	354	2	kannan	PERSON
ejpam-6802	357	1	ciric	NORP
ejpam-6802	357	2	reich	PERSON
ejpam-6802	358	1	bin abdulaziz university	PERSON
ejpam-6802	361	1	1	CARDINAL
ejpam-6802	362	1	sur les opérations dans les	ORG
ejpam-6802	362	2	aux équations	ORG
ejpam-6802	363	1	fundamenta mathematicae	ORG
ejpam-6802	363	2	3(1):133–181, 1922	DATE
ejpam-6802	364	1	2	CARDINAL
ejpam-6802	364	2	r. kannan	PERSON
ejpam-6802	366	1	bulletin	PERSON
ejpam-6802	366	2	60:71–76	CARDINAL
ejpam-6802	366	3	1968	DATE
ejpam-6802	367	1	3	CARDINAL
ejpam-6802	367	2	s. reich	PERSON
ejpam-6802	368	1	kannan	GPE
ejpam-6802	369	1	bollettino dell’unione matematica italiana	ORG
ejpam-6802	369	2	4(4):1–11	CARDINAL
ejpam-6802	369	3	1971	DATE
ejpam-6802	370	1	4	CARDINAL
ejpam-6802	372	1	9(4):771–779	CARDINAL
ejpam-6802	372	2	1986	DATE
ejpam-6802	373	1	r. ramaswamy	PERSON
ejpam-6802	374	1	j. pure	PERSON
ejpam-6802	374	2	18	CARDINAL
ejpam-6802	374	3	4	CARDINAL
ejpam-6802	374	4	2025	CARDINAL
ejpam-6802	374	5	6802 19	DATE
ejpam-6802	374	6	5	CARDINAL
ejpam-6802	375	1	huang	PERSON
ejpam-6802	375	2	x. zhang	PERSON
ejpam-6802	377	1	332(2):1468–1476, 2007	DATE
ejpam-6802	378	1	6	CARDINAL
ejpam-6802	378	2	r. george	PERSON
ejpam-6802	378	3	r. rajagopalan	PERSON
ejpam-6802	378	4	h. a. nabway	PERSON
ejpam-6802	378	5	s. radenovic	PERSON
ejpam-6802	380	1	2017	DATE
ejpam-6802	381	1	7	CARDINAL
ejpam-6802	381	2	r. george	PERSON
ejpam-6802	381	3	h. a. nabway	PERSON
ejpam-6802	382	1	r. rajagopalan	PERSON
ejpam-6802	383	1	generalized cone	PERSON
ejpam-6802	384	1	67(4):246–257	CARDINAL
ejpam-6802	384	2	2015	DATE
ejpam-6802	385	1	8	CARDINAL
ejpam-6802	385	2	r. george	PERSON
ejpam-6802	386	1	reshma	ORG
ejpam-6802	386	2	r. rajagopalan	PERSON
ejpam-6802	388	1	2011:85, 2011	DATE
ejpam-6802	389	1	9	CARDINAL
ejpam-6802	389	2	r. george	PERSON
ejpam-6802	389	3	h. a. nabway	PERSON
ejpam-6802	389	4	r. rajagopalan	PERSON
ejpam-6802	389	5	s. radenovic	PERSON
ejpam-6802	389	6	k. p. reshma	PERSON
ejpam-6802	391	1	2017:14	CARDINAL
ejpam-6802	391	2	2017	DATE
ejpam-6802	392	1	10	CARDINAL
ejpam-6802	392	2	a. mutlu	PERSON
ejpam-6802	393	1	journal of nonlinear sciences	ORG
ejpam-6802	393	2	9:5362–5373	CARDINAL
ejpam-6802	393	3	2016	DATE
ejpam-6802	394	1	11	CARDINAL
ejpam-6802	394	2	a. mutlu	PERSON
ejpam-6802	394	3	k. özkan	PERSON
ejpam-6802	395	1	european journal	ORG
ejpam-6802	395	2	10(4):655–667	DATE
ejpam-6802	395	3	2017	DATE
ejpam-6802	396	1	12	CARDINAL
ejpam-6802	396	2	a. mutlu	PERSON
ejpam-6802	396	3	k. özkan	PERSON
ejpam-6802	398	1	twms journal	ORG
ejpam-6802	398	2	2020	DATE
ejpam-6802	399	1	13	CARDINAL
ejpam-6802	399	2	b. s. rao	PERSON
ejpam-6802	399	3	g. n. v. kishore	PERSON
ejpam-6802	399	4	g. k. kumar	PERSON
ejpam-6802	400	1	geraghty	PERSON
ejpam-6802	400	2	homotopy	ORG
ejpam-6802	401	1	63	DATE
ejpam-6802	401	2	2018	DATE
ejpam-6802	402	1	14	CARDINAL
ejpam-6802	402	2	g. mani	PERSON
ejpam-6802	402	3	s. s. ramulu	PERSON
ejpam-6802	402	4	s. aljohani	PERSON
ejpam-6802	402	5	z. d. mitrovic	PERSON
ejpam-6802	402	6	n. mlaiki	PERSON
ejpam-6802	403	1	37(3):274–286	ORG
ejpam-6802	403	2	2025	DATE
ejpam-6802	404	1	15	CARDINAL
ejpam-6802	404	2	g. n. v. kishore	PERSON
ejpam-6802	405	1	r. rao	PERSON
ejpam-6802	405	2	b. s. rao	PERSON
ejpam-6802	405	3	a. sombabu	PERSON
ejpam-6802	407	1	international journal of nonlinear analysis	ORG
ejpam-6802	407	2	2021	CARDINAL
ejpam-6802	408	1	16	CARDINAL
ejpam-6802	408	2	g. n. v. kishore	PERSON
ejpam-6802	408	3	r. p. agarwal	PERSON
ejpam-6802	408	4	b. s. rao	PERSON
ejpam-6802	408	5	r. v. n. s. rao	PERSON
ejpam-6802	409	1	caristi	PERSON
ejpam-6802	410	1	2018(21	CARDINAL
ejpam-6802	410	2	2018	DATE
ejpam-6802	411	1	17	CARDINAL
ejpam-6802	411	2	g. n. v. kishore	PERSON
ejpam-6802	411	3	d. r. prasad	PERSON
ejpam-6802	411	4	b. s. rao	PERSON
ejpam-6802	411	5	v. s. baghavan	PERSON
ejpam-6802	413	1	7(2):601–607, 2019	DATE
ejpam-6802	414	1	18	CARDINAL
ejpam-6802	414	2	g. n. v. kishore	PERSON
ejpam-6802	415	1	r. rao	PERSON
ejpam-6802	415	2	h. isik	PERSON
ejpam-6802	415	3	b. s. rao	PERSON
ejpam-6802	415	4	a. sombabu	PERSON
ejpam-6802	417	1	international journal of nonlinear analysis	ORG
ejpam-6802	417	2	2021	CARDINAL
ejpam-6802	418	1	19	CARDINAL
ejpam-6802	418	2	a. mutlu	PERSON
ejpam-6802	418	3	a.	PERSON
ejpam-6802	418	4	β−ϕ	CARDINAL
ejpam-6802	419	1	2020	DATE
ejpam-6802	420	1	20	CARDINAL
ejpam-6802	420	2	m. aphane	PERSON
ejpam-6802	422	1	2021(5562651	CARDINAL
ejpam-6802	422	2	2021	CARDINAL
ejpam-6802	423	1	r. ramaswamy	PERSON
ejpam-6802	424	1	j. pure	PERSON
ejpam-6802	424	2	18	CARDINAL
ejpam-6802	424	3	4	CARDINAL
ejpam-6802	424	4	2025	CARDINAL
ejpam-6802	424	5	6802 20	DATE
ejpam-6802	425	1	21	CARDINAL
ejpam-6802	425	2	c. b. ampadu	PERSON
ejpam-6802	427	1	jp journal	ORG
ejpam-6802	427	2	2017	DATE
ejpam-6802	428	1	22	CARDINAL
ejpam-6802	428	2	a. j. gnanaprakasam	PERSON
ejpam-6802	428	3	g. mani	PERSON
ejpam-6802	428	4	r. george	PERSON
ejpam-6802	430	1	2024	DATE
ejpam-6802	431	1	23	CARDINAL
ejpam-6802	431	2	g. janardhanan	PERSON
ejpam-6802	431	3	g. mani	PERSON
ejpam-6802	431	4	d. santina	PERSON
ejpam-6802	431	5	n. mlaiki	PERSON
ejpam-6802	432	1	abc	ORG
ejpam-6802	433	1	37(3):297–318	DATE
ejpam-6802	433	2	2025	DATE
ejpam-6802	434	1	24	CARDINAL
ejpam-6802	434	2	g. janardhanan	PERSON
ejpam-6802	434	3	g. mani	PERSON
ejpam-6802	434	4	z. d. mitrovic	PERSON
ejpam-6802	434	5	a. aloqaily	PERSON
ejpam-6802	434	6	n. mlaiki	PERSON
ejpam-6802	436	1	2025	DATE
ejpam-6802	437	1	25	CARDINAL
ejpam-6802	437	2	m. dhanraj	PERSON
ejpam-6802	437	3	a. j. gnanaprakasam	PERSON
ejpam-6802	437	4	g. mani	PERSON
ejpam-6802	437	5	m. de la	PERSON
ejpam-6802	438	1	11(728	CARDINAL
ejpam-6802	438	2	2022	CARDINAL
ejpam-6802	439	1	26	CARDINAL
ejpam-6802	439	2	r. rajagopalan	PERSON
ejpam-6802	439	3	m. gunaseelan	PERSON
ejpam-6802	439	4	d. kumar	PERSON
ejpam-6802	439	5	o. ege.	ORG
ejpam-6802	440	1	abc fractional order	ORG
ejpam-6802	441	1	143(2):1843–1894	CARDINAL
ejpam-6802	441	2	2025	DATE