Convergence of a One-step Iteration Scheme for Quasi-asymptotically Nonexpansive Mappings

Main Author: Safeer Hussain Khan
Format: Article Journal
Bahasa: eng
Terbitan: , 2012
Subjects:
Online Access: https://zenodo.org/record/1073427
Daftar Isi:
  • 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.