Journal of Inequalities and Applications
Volume 2009 (2009), Article ID 364615, 13 pages
doi:10.1155/2009/364615
Research Article

General System of A-Monotone Nonlinear Variational Inclusions Problems with Applications

Jian-Wen Peng1 and Lai-Jun Zhao2

1College of Mathematics and Computer Science, Chongqing Normal University, Chongqing 400047, China
2Management School, Shanghai University, Shanghai 200444, China

Received 25 September 2009; Accepted 2 November 2009

Academic Editor: Vy Khoi Le

Copyright © 2009 Jian-Wen Peng and Lai-Jun Zhao. 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 introduce and study a new system of nonlinear variational inclusions involving a combination of A-Monotone operators and relaxed cocoercive mappings. By using the resolvent technique of the A-monotone operators, we prove the existence and uniqueness of solution and the convergence of a new multistep iterative algorithm for this system of variational inclusions. The results in this paper unify, extend, and improve some known results in literature.