Acta Mathematica Vietnamica

Acta Mathematica Vietnamica

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CONVERGENCE THEOREMS OF MULTI-STEP ITERATION WITH ERRORS FOR FINITE FAMILIES OF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS

GURUCHARAN SINGH SALUJA, HEMANT KUMAR NASHINE

pp. 399-410

Abstract

The aim of this paper is to study weak and strong convergence of common fixed points for multi-step iterative scheme with errors for finite families of asymptotically nonexpansive mappings in real uniformly convex Banach spaces. Our results extend and improve the corresponding results of Khan and Takahashi [13], Schu [22], Takahashi and Tamura [26], Rhoades [21], Xu and Noor [28], Khan and Fukhar-ud-din [12], Plubtieng et al. [20] and many others.