id	sid	eid	entity	type
ma-63	1	1	2022	CARDINAL
ma-63	2	1	j. math	PERSON
ma-63	3	1	2 (	CARDINAL
ma-63	3	2	2022	CARDINAL
ma-63	3	3	11doi	CARDINAL
ma-63	3	4	10.28924	CARDINAL
ma-63	3	5	α−ψ−	CARDINAL
ma-63	3	6	c∗-algebra	ORG
ma-63	3	7	theorems mohamed rossafi1,∗	PERSON
ma-63	3	8	kari2	ORG
ma-63	3	9	massit3 1lasma	ORG
ma-63	3	10	el mahraz	ORG
ma-63	3	11	sidi mohamed ben abdellah	PERSON
ma-63	3	12	b. p.	PERSON
ma-63	3	13	1796	DATE
ma-63	4	1	atlas	GPE
ma-63	4	2	morocco	GPE
ma-63	5	1	ben m’sik	PERSON
ma-63	5	2	hassan ii university	PERSON
ma-63	5	3	casablanca	GPE
ma-63	5	4	morocco	GPE
ma-63	6	1	3laboratory	PRODUCT
ma-63	6	2	ibn tofail	PERSON
ma-63	6	3	kenitra	GPE
ma-63	6	4	morocco	GPE
ma-63	6	5	∗correspondence	ORG
ma-63	7	1	c∗-algebra	ORG
ma-63	9	1	1	CARDINAL
ma-63	9	2	c∗-algebra	ORG
ma-63	9	3	ma et al	PERSON
ma-63	10	1	6	CARDINAL
ma-63	11	1	1–3	CARDINAL
ma-63	11	2	c∗-algebra	ORG
ma-63	11	3	generalized metricspaces	PERSON
ma-63	11	4	g kalapana	PERSON
ma-63	12	1	4	CARDINAL
ma-63	12	2	c∗-algebra	ORG
ma-63	12	3	9	CARDINAL
ma-63	13	1	18	CARDINAL
ma-63	15	1	c∗-algebra	ORG
ma-63	16	1	1	CARDINAL
ma-63	17	1	j. math	PERSON
ma-63	19	1	10.28924	CARDINAL
ma-63	19	2	22	CARDINAL
ma-63	23	1	σ(x) ⊂	ORG
ma-63	23	2	σ(x	ORG
ma-63	23	3	zero	CARDINAL
ma-63	23	4	x∗x	DATE
ma-63	23	5	1 2	CARDINAL
ma-63	23	6	a′	ORG
ma-63	23	7	∈	ORG
ma-63	23	8	∈	ORG
ma-63	23	9	2.1	CARDINAL
ma-63	24	1	8	CARDINAL
ma-63	24	2	c∗-algebra	ORG
ma-63	24	3	∈	ORG
ma-63	24	4	∈	ORG
ma-63	24	5	1(3	CARDINAL
ma-63	24	6	∈	ORG
ma-63	24	7	ab = ba	ORG
ma-63	24	8	∈	ORG
ma-63	24	9	∈	ORG
ma-63	24	10	2.2	CARDINAL
ma-63	25	1	4	CARDINAL
ma-63	27	1	satisfies:(i	ORG
ma-63	27	2	d(x	ORG
ma-63	29	1	d(x	ORG
ma-63	29	2	+ d(u	PERSON
ma-63	29	3	c∗-algebra	ORG
ma-63	30	1	2.3	CARDINAL
ma-63	32	1	d(x	ORG
ma-63	34	1	− y |	PERSON
ma-63	34	2	2|x	CARDINAL
ma-63	34	3	y ∈ r.	PERSON
ma-63	34	4	c∗-algebra	ORG
ma-63	35	1	2.4	CARDINAL
ma-63	36	1	9	CARDINAL
ma-63	36	2	c∗-algebra	ORG
ma-63	36	3	⊆	CARDINAL
ma-63	37	1	ψ(ah	CARDINAL
ma-63	37	2	⊆	CARDINAL
ma-63	38	1	2.5	CARDINAL
ma-63	39	1	9	CARDINAL
ma-63	39	2	c∗-algebra .a	ORG
ma-63	39	3	y ∈ a(ii	PERSON
ma-63	40	1	j. math	PERSON
ma-63	42	1	10.28924	CARDINAL
ma-63	42	2	3(iii	CARDINAL
ma-63	43	1	2.6	CARDINAL
ma-63	44	1	9	CARDINAL
ma-63	44	2	c∗-algebra	ORG
ma-63	44	3	one	CARDINAL
ma-63	44	4	c∗-algebra	ORG
ma-63	44	5	2.7	CARDINAL
ma-63	45	1	9	CARDINAL
ma-63	46	1	nondecrasing(ii) ψ(a	ORG
ma-63	47	1	∑∞n=1	ORG
ma-63	47	2	∞(iv	PERSON
ma-63	47	3	∑∞k=1	GPE
ma-63	48	1	2.8	CARDINAL
ma-63	49	1	9	CARDINAL
ma-63	50	1	2.9	CARDINAL
ma-63	52	1	2.10	CARDINAL
ma-63	53	1	9	CARDINAL
ma-63	53	2	α(x	ORG
ma-63	54	1	2.11	CARDINAL
ma-63	55	1	9	CARDINAL
ma-63	55	2	c∗-algebra	ORG
ma-63	55	3	α−ψ−	CARDINAL
ma-63	55	4	two	CARDINAL
ma-63	56	1	∈	ORG
ma-63	56	2	α(x	DATE
ma-63	56	3	y)d(tx	GPE
ma-63	56	4	3	CARDINAL
ma-63	56	5	9	CARDINAL
ma-63	56	6	α−ψ−	CARDINAL
ma-63	56	7	c∗-algebra	ORG
ma-63	57	1	c∗-algebra	ORG
ma-63	58	1	3.1	CARDINAL
ma-63	59	1	c∗-algebra	ORG
ma-63	59	2	two	CARDINAL
ma-63	59	3	∈	ORG
ma-63	59	4	α(x	DATE
ma-63	59	5	y)d(tx	GPE
ma-63	59	6	3.1	CARDINAL
ma-63	59	7	3.2	CARDINAL
ma-63	60	1	c∗-algebra	ORG
ma-63	60	2	conditions:(i	ORG
ma-63	62	1	j. math	PERSON
ma-63	64	1	10.28924	CARDINAL
ma-63	64	2	α(x0	CARDINAL
ma-63	64	3	α(x	ORG
ma-63	66	1	α(x0	CARDINAL
ma-63	67	1	n ∈ n	ORG
ma-63	68	1	6=	CARDINAL
ma-63	68	2	∀n ∈ n	ORG
ma-63	68	3	α(x0	CARDINAL
ma-63	69	1	α(x0	CARDINAL
ma-63	71	1	α(xn	PERSON
ma-63	72	1	3.2	CARDINAL
ma-63	72	2	3.1	CARDINAL
ma-63	72	3	3.2	CARDINAL
ma-63	72	4	d(xn	GPE
ma-63	72	5	xn)d(txn−1	GPE
ma-63	73	1	1	CARDINAL
ma-63	73	2	1	CARDINAL
ma-63	73	3	d(xm+p	ORG
ma-63	73	4	xm	ORG
ma-63	73	5	xm+p−1	ORG
ma-63	75	1	xm+p−2	GPE
ma-63	77	1	xm	ORG
ma-63	77	2	xm+p−1	ORG
ma-63	78	1	xm+p−2	GPE
ma-63	80	1	xm	ORG
ma-63	80	2	xm+p−1	ORG
ma-63	81	1	xm+p−2	GPE
ma-63	82	1	+ b2d(xm+p−3	GPE
ma-63	82	2	xm+p−4	PERSON
ma-63	82	3	xm	ORG
ma-63	82	4	xm+p−1	ORG
ma-63	83	1	xm+p−2	GPE
ma-63	84	1	+ b2d(xm+p−3	GPE
ma-63	84	2	xm+p−4	PERSON
ma-63	85	1	2	CARDINAL
ma-63	86	1	2 d(xm+2	PERSON
ma-63	86	2	xm+1	PERSON
ma-63	87	1	2	CARDINAL
ma-63	87	2	xm	ORG
ma-63	87	3	bψm+p−1(d(x0	GPE
ma-63	90	1	2	CARDINAL
ma-63	90	2	2.6	CARDINAL
ma-63	90	3	d(xm	NORP
ma-63	90	4	bψm+p−1(d(x0	GPE
ma-63	90	5	x1))+bψm+p−2(d(x0	GPE
ma-63	91	1	2	CARDINAL
ma-63	91	2	θ as n → +∞therefore {xn	ORG
ma-63	94	1	tx	ORG
ma-63	96	1	6=	CARDINAL
ma-63	96	2	t .	GPE
ma-63	98	1	j. math	PERSON
ma-63	100	1	10.28924	CARDINAL
ma-63	101	1	α(x	ORG
ma-63	102	1	α(x	ORG
ma-63	103	1	1	CARDINAL
ma-63	103	2	d(x	ORG
ma-63	104	1	t (t n−1z)	ORG
ma-63	104	2	z))→	ORG
ma-63	107	1	3.3	CARDINAL
ma-63	108	1	2.3	CARDINAL
ma-63	108	2	tx	ORG
ma-63	109	1	3and	CARDINAL
ma-63	109	2	α(x	ORG
ma-63	112	1	m2(r)+	DATE
ma-63	112	2	ψ(a	PERSON
ma-63	115	1	α(x	DATE
ma-63	115	2	y)d(tx	GPE
ma-63	116	1	3.4	CARDINAL
ma-63	117	1	c∗-algebra	ORG
ma-63	117	2	kannan	GPE
ma-63	117	3	α(x	DATE
ma-63	117	4	y)d(tx	GPE
ma-63	118	1	3.3	CARDINAL
ma-63	119	1	∈	ORG
ma-63	119	2	holds:(i	ORG
ma-63	119	3	α(x0	CARDINAL
ma-63	121	1	3.3	CARDINAL
ma-63	121	2	d(xn	GPE
ma-63	121	3	xn)d(txn−1	GPE
ma-63	121	4	xn−1	GPE
ma-63	123	1	xn−1	GPE
ma-63	126	1	xn−1	GPE
ma-63	129	1	xn−1	GPE
ma-63	129	2	xn−1	GPE
ma-63	130	1	2.1	CARDINAL
ma-63	130	2	2.6	CARDINAL
ma-63	131	1	j. math	PERSON
ma-63	133	1	10.28924	CARDINAL
ma-63	133	2	6	CARDINAL
ma-63	133	3	xn−1	GPE
ma-63	135	1	xn−1	GPE
ma-63	135	2	d(xn	GPE
ma-63	135	3	x1))∀n ∈ n	PERSON
ma-63	135	4	1	CARDINAL
ma-63	135	5	1	CARDINAL
ma-63	135	6	3.1	CARDINAL
ma-63	135	7	d(xm	NORP
ma-63	135	8	bψm+p−1(d(x0	GPE
ma-63	135	9	x1))+bψm+p−2(d(x0	GPE
ma-63	136	1	2	CARDINAL
ma-63	136	2	θ as n → +∞.thus {xn	ORG
ma-63	137	1	∈	ORG
ma-63	139	1	t .to	GPE
ma-63	140	1	θ � d(x	ORG
ma-63	141	1	y)d(tx	GPE
ma-63	146	1	3.5	CARDINAL
ma-63	147	1	c∗-algebra	ORG
ma-63	147	2	α(x	DATE
ma-63	147	3	y)d(tx	GPE
ma-63	149	1	3.4	CARDINAL
ma-63	149	2	∈	ORG
ma-63	149	3	ψ(1−	ORG
ma-63	149	4	1 2i	CARDINAL
ma-63	149	5	holds:(i	ORG
ma-63	149	6	α(x0	CARDINAL
ma-63	150	1	3.4	CARDINAL
ma-63	150	2	d(xn	GPE
ma-63	150	3	xn)d(txn−1	GPE
ma-63	151	1	xn−1	GPE
ma-63	154	1	+ d(xn	GPE
ma-63	154	2	2iψ(d(xn	CARDINAL
ma-63	154	3	xn−1	GPE
ma-63	154	4	2i(i	CARDINAL
ma-63	155	1	xn−1	GPE
ma-63	156	1	j. math	PERSON
ma-63	158	1	10.28924	CARDINAL
ma-63	158	2	7	CARDINAL
ma-63	158	3	2i(i − ψ)−1ψ	DATE
ma-63	159	1	d(xn	GPE
ma-63	160	1	3.1	CARDINAL
ma-63	160	2	t .	GPE
ma-63	161	1	6=	CARDINAL
ma-63	161	2	θ � d(x	ORG
ma-63	162	1	y)d(tx	GPE
ma-63	165	1	d(x	ORG
ma-63	166	1	4	CARDINAL
ma-63	167	1	c∗-algebra	ORG
ma-63	168	1	4.1	CARDINAL
ma-63	168	2	linear bounded	ORG
ma-63	169	1	∑∞n=1 ‖an‖ < 1	PERSON
ma-63	169	2	b(h	GPE
ma-63	171	1	1	CARDINAL
ma-63	171	2	‖a‖	GPE
ma-63	171	3	1.without	CARDINAL
ma-63	171	4	∈	ORG
ma-63	171	5	1	CARDINAL
ma-63	171	6	d(x	ORG
ma-63	173	1	d(x	ORG
ma-63	173	2	c∗-algebra	ORG
ma-63	173	3	w ∈ b(h	ORG
ma-63	173	4	‖x	PERSON
ma-63	174	1	2p	CARDINAL
ma-63	175	1	d(x	ORG
ma-63	176	1	2pi	LAW
ma-63	180	1	j. math	PERSON
ma-63	182	1	10.28924	CARDINAL
ma-63	182	2	α(x	ORG
ma-63	183	1	ψ(x	ORG
ma-63	184	1	α(x	ORG
ma-63	184	2	3.1	CARDINAL
ma-63	185	1	5	CARDINAL
ma-63	186	1	1	CARDINAL
ma-63	186	2	alsulami	GPE
ma-63	186	3	r.p. agarwal	ORG
ma-63	186	4	e. karapınar	PERSON
ma-63	186	5	f. khojasteh	PERSON
ma-63	186	6	j. inequal.appl	PERSON
ma-63	186	7	2016	DATE
ma-63	186	8	2016	CARDINAL
ma-63	186	9	50	DATE
ma-63	187	1	s. chandok	PERSON
ma-63	187	2	d. kumar	PERSON
ma-63	187	3	c. park	GPE
ma-63	190	1	2019	CARDINAL
ma-63	190	2	37	DATE
ma-63	191	1	b. samet	PERSON
ma-63	192	1	j. inequal	PERSON
ma-63	194	1	2014	DATE
ma-63	194	2	2014	DATE
ma-63	194	3	38	DATE
ma-63	195	1	g. kalapana	PERSON
ma-63	195	2	z.s. tasneem	ORG
ma-63	196	1	sci.	ORG
ma-63	196	2	univ	NORP
ma-63	197	1	ank	PERSON
ma-63	200	1	68	CARDINAL
ma-63	200	2	2019	CARDINAL
ma-63	200	3	2198-2208	DATE
ma-63	201	1	w. a. kirk	PERSON
ma-63	201	2	n. shahzad	PERSON
ma-63	202	1	2013	DATE
ma-63	202	2	2013	DATE
ma-63	202	3	129	DATE
ma-63	203	1	z. ma	PERSON
ma-63	203	2	l. jiang	PERSON
ma-63	203	3	h. sun	PERSON
ma-63	204	1	2014) 2014	DATE
ma-63	204	2	206	CARDINAL
ma-63	205	1	h. massit	PERSON
ma-63	205	2	m. rossafi	PERSON
ma-63	205	3	j. math.comput	PERSON
ma-63	206	1	sci	ORG
ma-63	206	2	11(2021	CARDINAL
ma-63	206	3	6507	CARDINAL
ma-63	207	1	murphy	PERSON
ma-63	207	2	c∗-algebras	ORG
ma-63	207	3	london	GPE
ma-63	207	4	uk	GPE
ma-63	207	5	1990.[9	CARDINAL
ma-63	207	6	s. omran	PERSON
ma-63	207	7	i. masmali	PERSON
ma-63	207	8	c∗-algebra	ORG
ma-63	207	9	j. math	PERSON
ma-63	208	1	2021	CARDINAL
ma-63	208	2	2021	CARDINAL
ma-63	208	3	7865976	DATE
ma-63	209	1	c. vetro	PERSON
ma-63	211	1	75	CARDINAL
ma-63	211	2	2012) 2154–2165	DATE
ma-63	213	1	https://doi.org/10.1155/2021/7865976 https://doi.org/10.1016/j.na.2011.10.014 1	PERSON
ma-63	213	2	2	CARDINAL
ma-63	213	3	3	CARDINAL
ma-63	213	4	4	CARDINAL
ma-63	213	5	5	CARDINAL