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

GURUCHARAN SINGH SALUJA · Thai Journal of Mathematics · 2012

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.

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