A New Iteration Scheme For Approximating Fixed Points of Nonexpansive Mappings

Abstract

In this paper, we introduce  a new  three-step iteration scheme and establish convergence results for approximation of  fixed points of nonexpansive mappings in the framework of  Banach space.  Further, we show that the new iteration process is faster than a number of existing iteration processes. To support the claim, we consider a numerical example and approximated the fixed point numerically by computer using Matlab.