Journal of Inequalities and Applications
Volume 2007 (2007), Article ID 45398, 9 pages
A General Projection Method for a System of Relaxed Cocoercive Variational Inequalities in Hilbert Spaces
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.