Three-Step Iteration Schemes with Errors for Generalized Asymptotically Quasi-nonexpansive Mappings

Jamnian Nantadilok

Abstract

In this paper, we introduce new 3-step iteration schemes with errors
for approximating the common fixed-point of 3 generalized asymptotically quasi-nonexpansive mappings and prove some strong convergence results for the iterativesequences with errors in real Banach spaces. The results obtained in this paper extend and improve some results announced by Lan [H.Y. Lan,Common fixed-point iterative processes with errors for generalized asymptotically quasi-nonexpansive mappings, Comput. Math. Appl. 52(2006), 1403-1412.]