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

Year 2019, Volume: 3 Issue: 2, 90 - 101, 30.06.2019

Thierno Sow

https://doi.org/10.31197/atnaa.557149

https://izlik.org/JA34UT72FE

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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