Abstract and Applied Analysis
Volume 2012 (2012), Article ID 643828, 21 pages
http://dx.doi.org/10.1155/2012/643828
Research Article

On a System of Nonlinear Variational Inclusions with -Monotone Operators

Zeqing Liu,1 Jeong Sheok Ume,2 and Shin Min Kang3

1Department of Mathematics, Liaoning Normal University, Liaoning, Dalian 116029, China
2Department of Mathematics, Changwon National University, Changwon 641-773, Republic of Korea
3Department of Mathematics and RINS, Gyeongsang National University, Jinju 660-701, Republic of Korea

Received 15 August 2012; Accepted 11 October 2012

Academic Editor: Yongfu Su

Copyright © 2012 Zeqing Liu 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 concerned mainly with the existence and iterative approximation of solutions for a system of nonlinear variational inclusions involving the strongly -monotone operators in Hilbert spaces. The results presented in this paper extend, improve, and unify many known results in the literature.