Journal of Applied Mathematics
Volume 2012 (2012), Article ID 634927, 15 pages
http://dx.doi.org/10.1155/2012/634927
Research Article

Hybrid Algorithms of Nonexpansive Semigroups for Variational Inequalities

Peixia Yang,1 Yonghong Yao,1 Yeong-Cheng Liou,2 and Rudong Chen1

1Department of Mathematics, Tianjin Polytechnic University, Tianjin 300387, China
2Department of Information Management, Cheng Shiu University, Kaohsiung 833, Taiwan

Received 19 March 2012; Accepted 30 April 2012

Academic Editor: Giuseppe Marino

Copyright © 2012 Peixia Yang 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

Two hybrid algorithms for the variational inequalities over the common fixed points set of nonexpansive semigroups are presented. Strong convergence results of these two hybrid algorithms have been obtained in Hilbert spaces. The results improve and extend some corresponding results in the literature.