Convergence theorems of modified Ishikawa iterations in Banach spaces

Year 2019, Volume: 2 Issue: 3, 125 - 135, 01.10.2019

Shengquan Weng

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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