Iterative algorithm for approximating fixed points of multivalued quasinonexpansive mappings in Banach spaces

Minjibir, Ma’aruf Shehu; Izuazu, Chimezie

doi:10.1186/s13663-022-00718-7

Fixed Point Theory and Algorithms for Sciences and Engineering

Table 1 Numerical experiment for the three sets of parameters: \((\lambda _{i,n}^{(1)})\), \((\lambda _{i,n}^{(2)})\) and \((\lambda _{i,n}^{(3)})\)

From: Iterative algorithm for approximating fixed points of multivalued quasinonexpansive mappings in Banach spaces

S/N	Dim.	\(x_{0}\)	\((\lambda ^{(1)}_{i,n})\)			\((\lambda ^{(2)}_{i,n})\)			\((\lambda ^{(3)}_{i,n})\)
S/N	Dim.	\(x_{0}\)	N	\(\\|x_{N}\\|\)	Time (s)	N	\(\\|x_{N}\\|\)	Time (s)	N	\(\\|x_{N}\\|\)	Time (s)
1	3	i1	30	6.2E−09	3.6E−04	18	4.6E−09	2.2E−04	9	1.5E−09	1.3E−04
2	10	i2	28	7.9E−09	3.1E−04	18	4.6E−09	2.2E−04	9	1.5E−09	1.3E−04
3	10	i3	32	8.5E−09	4.3E−04	20	8.4E−09	2.3E−04	10	1.2E−09	1.6E−04
4	20	i4	31	7.6E−09	5.2E−04	20	3.8E−09	1.5E−04	10	5.6E−10	1.0E−04
5	30	i5	30	9.1E−09	4.2E−04	19	6.8E−09	1.3E−04	9	6.5E−09	8.6E−05
6	15	i6	28	6.6E−09	3.2E−04	18	3.8E−09	1.3E−04	9	1.2E−09	1.7E−04
7	40	i7	30	5.3E−09	3.5E−04	19	3.9E−09	1.2E−04	9	3.8E−09	9.5E−05
8	50	i8	28	6.5E−09	6.7E−04	18	3.7E−09	2.2E−04	9	1.2E−09	1.2E−04
9	30	i9	28	8.7E−09	4.5E−04	18	5.0E−09	2.1E−04	9	1.7E−09	1.0E−04
10	10	i10	28	7.1E−09	3.2E−04	18	4.0E−09	1.3E−04	9	1.3E−09	1.0E−04
11	25	i11	30	8.3E−09	4.1E−04	19	6.2E−09	2.2E−04	9	6.0E−09	1.3E−04
12	45	i12	30	8.3E−09	3.4E−04	19	6.3E−09	1.3E−04	9	6.0E−09	8.6E−05
13	60	i13	30	9.2E−09	6.9E−04	19	6.9E−09	2.0E−04	9	6.7E−09	1.0E−04
14	100	i14	32	6.9E−09	7.5E−04	20	6.8E−09	1.3E−04	10	1.1E−09	1.5E−04
15	90	i15	33	6.6E−09	3.7E−04	21	4.1E−09	1.3E−04	10	1.8E−09	1.1E−04
16	35	i16	30	6.9E−09	3.4E−04	19	5.1E−09	1.3E−04	9	5.0E−09	1.0E−04
17	120	i17	33	9.7E−09	5.5E−04	21	6.3E−09	1.2E−04	10	2.7E−09	1.6E−04
18	65	i18	31	5.4E−09	3.6E−04	19	8.1E−09	1.2E−04	9	7.8E−09	1.3E−04
19	10	i19	33	8.0E−09	4.3E−04	21	5.2E−09	1.6E−04	10	2.3E−09	1.9E−04
20	100	i20	28	8.2E−09	3.6E−04	18	4.7E−09	2.3E−04	9	1.5E−09	1.1E−04
21	55	i21	32	5.7E−09	3.8E−04	20	5.7E−09	1.2E−04	10	8.5E−09	1.5E−04
22	130	i22	32	6.6E−09	4.5E−04	24	8.4E−09	2.8E−04	11	1.9E−10	1.6E−04
23	100	i23	28	6.7E−09	4.0E−04	18	3.9E−09	1.4E−04	9	1.2E−09	8.9E−04
24	4	i24	31	6.2E−09	5.4E−04	19	9.2E−09	1.4E−04	9	8.9E−09	1.4E−04
25	80	i25	30	6.4E−09	3.5E−04	19	4.8E−09	2.2E−04	9	4.6E−09	1.0E−04
26	200	i26	32	6.1E−09	7.4E−04	20	6.0E−09	2.2E−04	10	5.9E−10	1.8E−04
27	300	i27	31	7.3E−09	4.7E−04	20	3.6E−09	2.6E−04	10	5.5E−09	1.9E−04
28	400	i28	34	7.8E−09	4.3E−04	22	3.4E−09	1.8E−04	10	4.5E−09	1.2E−04
29	500	i29	33	5.6E−09	4.5E−04	21	3.7E−09	2.1E−04	10	1.6E−09	1.9E−04
30	1000	i30	34	5.3E−09	4.9E−04	21	6.8E−09	3.4E−04	10	3.0E−09	1.6E−04

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