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 Paper

Abstract :In this paper, we introduce the modified iterations of Ishikawa type for nonexpansive mappings insert ignore into journalissuearticles values(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