Convergence theorems of modified Ishikawa iterations in Banach spaces

Abstract

In this paper, we introduce the modified iterations of Ishikawa type for nonexpansive mappings (nonexpansive semigroups) to have the strong convergence in a uniformly convex Banach space. We study the approximation of common fixed point of nonexpansive mappings and nonexpansive semigroups in Banach space by using a new iterative scheme.

Keywords

• strong convergence,modified Ishikawa iteration,uniformly convex Banach space,nonexpansive mapping,nonexpansive semigroup

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