Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 150539, 9 pages
doi:10.1155/2010/150539
Research Article

Strong Convergence Theorems for Strict Pseudocontractions in Uniformly Convex Banach Spaces

Liang-Gen Hu,1 Wei-Wei Lin,2 and Jin-Ping Wang1

1Department of Mathematics, Ningbo University, Zhejiang 315211, China
2School of Computer Science and Engineering, South China University of Technology, Guangzhou 510640, China

Received 20 April 2010; Accepted 26 August 2010

Academic Editor: W. Takahashi

Copyright © 2010 Liang-Gen Hu 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.

Abstract

The viscosity approximation methods are employed to establish strong convergence theorems of the modified Mann iteration scheme to λ-strict pseudocontractions in p-uniformly convex Banach spaces with a uniformly Gâteaux differentiable norm. The main result improves and extends many nice results existing in the current literature.