Convergence theorems of modified two-step iteration process for two asymptotically quasi-nonexpansive mappings

Abstract

In this paper, we establish a weak convergence theorem and some strong convergence theorems of modified two-step iteration process for two asymptotically quasi-nonexpansive mappings to converge to common fixed points in the setting of real Banach spaces. The results presented in this paper extend, improve and generalize some previous results from the existing literature.