Convergence Of A One-Step Iteration Scheme For Quasi-Asymptotically Nonexpansive Mappings
Safeer Hussain Khan · Zenodo (CERN European Organization for Nuclear Research) · 2012
In this paper, we use a one-step iteration scheme to approximate common fixed points of two quasi-asymptotically nonexpansive mappings. We prove weak and strong convergence theorems in a uniformly convex Banach space. Our results generalize the corresponding results of Yao and Chen [15] to a wider class of mappings while extend those of Khan, Abbas and Khan [4] to an improved one-step iteration scheme without any condition and improve upon many others in the literature.