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

Authors

Department of Mathematics, Islamic Azad University{Sari Branch, Sari, Iran.

Abstract

In this paper we propose and studied a new composite iterative scheme with certain control conditions for viscosity approximation for a zero of accretive operator and fixed points problems in a reflexive Banach space with weakly continuous duality mapping. Strong convergence of the sequence $\{x_n\}$ defined by the new introduced iterative sequence is proved. The main results improve and complement the corresponding results of [1, 4, 10].

Keywords