Article ID Journal Published Year Pages File Type
844782 Nonlinear Analysis: Theory, Methods & Applications 2006 12 Pages PDF
Abstract

We study the stability problems of the following unified iterative scheme involving a φφ-strongly pseudocontractive mapping (or φφ-hemicontractive mapping) TTxn+1=f(T,vn,xn)=αnxn+βnTvn+γnunxn+1=f(T,vn,xn)=αnxn+βnTvn+γnunin arbitrary Banach spaces. We apply our results to obtain stability of an iterative scheme for a family of kk-selfmappings.

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