Common Fixed Point of Modified Noor Iterations with Errors for Non-Lipschitzian Mappings in Banach Spaces

Nawitcha Onjai-uea, Suthep Suantai

Abstract

In this paper, we introduce and study the modified Noor iterative scheme for three asymptotically nonexpansive mappings in the intermediate sense. Weak and strong convergence theorems of such iterations to a common fixed point of three asymptotically nonexpansive mappings in a uniformly convex Banach space are established. The results obtained in this paper extend and improve the recent ones announced by Xu and Noor and many others.