Convergence theorems of iterative approximation for finding zeros of accretive operator and fixed points problems

Abstract

In this paper we propose and studied a new composite iterative scheme with certain control con-<br />ditions for viscosity approximation for a zero of accretive operator and xed points problems in a<br />reflexive Banach space with weakly continuous duality mapping. Strong convergence of the sequence<br />fxng de ned by the new introduced iterative sequence is proved. The main results improve and<br />complement the corresponding results of [1, 4, 10].