Strong Convergence of Three Step Iteration Process for Nonexpansive and Strongly Pseudocontractive Mappings Apurva Kumar Das, Shailesh Dhar Diwan and Samir Dashputre

Abstract

In this paper, we introduce a three step iteration process and prove strong convergence theorem for finding the common fixed point associated with nonexpansive and strongly pseudocontractive mappings in real uniformly smooth Banach space. A numerical example is given in support of our result. We remark that the iteration process of Kang et al. [16] can be obtained as a particular case of our iteration process. In our result the necessity of condition (C) is not require to prove strong convergence.