Journal of Inequalities and Applications
Volume 2008 (2008), Article ID 548627, 10 pages
Research Article

A New One-Step Iterative Process for Common Fixed Points in Banach Spaces

Mujahid Abbas,1 Safeer Hussain Khan,2 and Jong Kyu Kim3

1Mathematics Department, Lahore University of Management Sciences, Lahore 54792, Pakistan
2Department of Mathematics and Physics, Qatar University, P.O. Box 2713, Doha, Qatar
3Department of Mathematics Education, Kyungnam University, Masan, Kyungnam 631-701, South Korea

Received 26 September 2008; Accepted 22 October 2008

Academic Editor: Ram U. Verma

Copyright © 2008 Mujahid Abbas et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We introduce a new one-step iterative process and use it to approximate the common fixed points of two asymptotically nonexpansive mappings through some weak and strong convergence theorems. Our process is computationally simpler than the processes currently being used in literature for the purpose.