Fixed Point Theory and Applications
Volume 2011 (2011), Article ID 783502, 12 pages
doi:10.1155/2011/783502
Research Article

General Viscosity Approximation Methods for Common Fixed Points of Nonexpansive Semigroups in Hilbert Spaces

Xue-song Li,1 Nan-jing Huang,1 and Jong Kyu Kim2

1Department of Mathematics, Sichuan University, Chengdu, Sichuan 610064, China
2Department of Mathematics, Kyungnam University, Masan, Kyungnam 631-701, Republic of Korea

Received 12 November 2010; Accepted 17 December 2010

Academic Editor: Jen Chih Yao

Copyright © 2011 Xue-song Li 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

This paper is devoted to the strong convergence of two kinds of general viscosity iteration processes for approximating common fixed points of a nonexpansive semigroup in Hilbert spaces. The results presented in this paper improve and generalize some corresponding results in (X. Li et al., 2009, S. Li et al., 2009, and Marino and Xu, 2006).