Fixed Point Theory and Applications
Volume 2009 (2009), Article ID 612491, 17 pages
doi:10.1155/2009/612491
Construction of fixed points by some iterative schemes
A.El-Sayed Ahmed1
and A. Kamal2
1Mathematics Department, Faculty of Science, Sohag University, Sohag 82524, Egypt
2Mathematics Department, The High Institute of Computer Science, Al-Kawser City, 82524 Sohag, Egypt
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.