- Advances in the Theory of Nonlinear Analysis and its Application
- Vol: 3 Issue: 2
- A modified Mann iterative scheme based on the generalized explicit methods for quasi-nonexpansive ma...
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 : 4 | Download : 1
Publication Date : 2019-06-30
Article Type : Research
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