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Strong convergence of the modified Ishikawa iterative method for infinitely many nonexpansive mappings in Banach spaces

โœ Scribed by Phayap Katchang; Poom Kumam

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
650 KB
Volume
59
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

In this paper, we introduce a new modified Ishikawa iterative process for computing fixed points of an infinite family nonexpansive mapping in the framework of Banach spaces. Then, we establish the strong convergence theorem of the proposed iterative scheme under some mild conditions which solves a variational inequality. The results obtained in this paper extend and improve on the recent results of Qin et al. [Strong convergence theorems for an infinite family of nonexpansive mappings in Banach spaces,

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