Weak and Strong Convergence Theorems for Four Nonexpansive Mappings in Uniformly Convex Banach Spaces

Gurucharan Singh Saluja

Abstract

In this paper, we study three-step iterative algorithm with errors for four nonexpansive mappings in uniformly convex Banach spaces. Also we have proved strong convergence theorem for above said algorithm and mappings by using condition (GA) which is a generalization of condition (A) [1] and a weak convergence theorem by using Opial’s condition [2]. The results presented in this paper improve and extend the corresponding results of Khan and Fukhar-ud-din [3], Takahashi and Tamura [4], Boonchari and Saejung [5] and many others.