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-ditions for viscosity approximation for a zero of accretive operator and xed points problems in areflexive Banach space with weakly continuous duality mapping. Strong convergence of the sequencefxng de ned by the new introduced iterative sequence is proved. The main results improve andcomplement the corresponding results of [1, 4, 10].