Convergence and stability theorems for a faster iterative scheme for a general class of contractive-like operators

Abstract

The purpose of this paper is to prove strong convergence and stability results for S−iteration procedure which is faster than Picard iteration procedure for the general class of contractive-like operators introduced by Bosede and Rhoades [4] in a real normed linear space. Our results generalize and improve a multitude of results in the literature, including the recent results of Akewe and Okeke [2] and many others for the general class of contractive-like operators using faster iterative procedure.