Fixed Point Theory and Applications
Volume 2009 (2009), Article ID 612491, 17 pages
doi:10.1155/2009/612491
Research Article

Construction of Fixed Points by Some Iterative Schemes

A. El-Sayed Ahmed1,2 and A. Kamal3

1Mathematics Department, Faculty of Science, Sohag University, Sohag 82524, Egypt
2Mathematics Department, Faculty of Science, Taif University, P.O. Box 888 El-Hawiyah, El-Taif 5700, Saudi Arabia
3Mathematics Department, The High Institute of Computer Science, Al-Kawser City, 82524 Sohag, Egypt

Received 23 October 2008; Revised 5 February 2009; Accepted 23 February 2009

Academic Editor: Massimo Furi

Copyright © 2009 A. El-Sayed Ahmed and A. Kamal. 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.

Abstract

We obtain strong convergence theorems of two modifications of Mann iteration processes with errors in the doubly sequence setting. Furthermore, we establish some weakly convergence theorems for doubly sequence Mann's iteration scheme with errors in a uniformly convex Banach space by a Frechét differentiable norm.