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

Authors : Thierno SOW

Pages : 90-101

Doi:10.31197/atnaa.557149

View : 7 | Download : 5

Publication Date : 2019-06-30

Article Type : Research Paper

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 insert ignore into journalissuearticles values(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