A modified Mann iterative scheme based on the generalized explicit methods for quasi-nonexpansive mappings in Banach spaces

Abstract

In this paper,  we  introduce and study a new iterative algorithm which is a combination of a modified Mann iterative scheme and a generalized    explicit methods (GEM) for finding  a common  fixed points of an infinite family of  quasi-nonexpansive mappings in Banach spaces. Under suitable conditions, some strong convergence theorems for finding  a common  fixed points of an infinite family of quasi-nonexpansive mappings are obtained without imposing any compactness assumption. Presented results improve and generalize many known results in the current literature.

Keywords

• Common fixed points,Quasi-nonexpansive mappings,Midpoint rule

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