- Results in Nonlinear Analysis
- Vol: 2 Issue: 3
- Convergence theorems of modified Ishikawa iterations in Banach spaces
Convergence theorems of modified Ishikawa iterations in Banach spaces
Authors : Shengquan Weng
Pages : 125-135
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Publication Date : 2019-10-01
Article Type : Research
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