Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 645498, 10 pages
doi:10.1155/2010/645498
Research Article

Moudafi's Viscosity Approximations with Demi-Continuous and Strong Pseudo-Contractions for Non-Expansive Semigroups

Changqun Wu,1 Sun Young Cho,2 and Meijuan Shang3

1School of Business and Administration, Henan University, Kaifeng 475001, China
2Department of Mathematics, Gyeongsang National University, Jinju 660-701, South Korea
3Department of Mathematics, Shijiazhuang University, Shijiazhuang 050035, China

Received 6 October 2009; Accepted 10 December 2009

Academic Editor: Yeol J. E. Cho

Copyright © 2010 Changqun Wu 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

We consider viscosity approximation methods with demi-continuous strong pseudo-contractions for a non-expansive semigroup. Strong convergence theorems of the purposed iterative process are established in the framework of Hilbert spaces.