Journal of Inequalities and Applications
Volume 2007 (2007), Article ID 45398, 9 pages
Research Article

A General Projection Method for a System of Relaxed Cocoercive Variational Inequalities in Hilbert Spaces

Meijuan Shang,1,2 Yongfu Su,1 and Xiaolong Qin3

1Department of Mathematics, Tianjin Polytechinc University, Tianjin 300160, China
2Department of Mathematics, Shijiazhuang University, Shijiazhuang 050035, China
3Department of Mathematics, Gyeongsang National University, Chinju 660-701, Korea

Received 2 June 2007; Accepted 19 July 2007

Academic Editor: Saburou Saitoh

Copyright © 2007 Meijuan Shang 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.


We consider a new algorithm for a generalized system for relaxed cocoercive nonlinear inequalities involving three different operators in Hilbert spaces by the convergence of projection methods. Our results include the previous results as special cases extend and improve the main results of R. U. Verma (2004), S. S. Chang et al. (2007), Z. Y. Huang and M. A. Noor (2007), and many others.