Journal of Inequalities and Applications
Volume 2007 (2007), Article ID 36845, 9 pages
doi:10.1155/2007/36845
Research Article
System of Generalized Implicit Vector Quasivariational Inequalities
1College of Mathematics and Computer Science, Chongqing Normal University, Chongqing 400047, China
2College of Economics and Management, Beijing University of Chemical Technology, Beijing 100029, China
Received 14 February 2007; Revised 21 June 2007; Accepted 5 October 2007
Academic Editor: Kok Lay Teo
Copyright © 2007 Jian-Wen Peng and Xiao-Ping Zheng. 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 will introduce a system of generalized implicit vector quasivariational inequalities (in short, SGIVQVI) which generalizes and unifies the system of generalized implicit variational inequalities, the system of generalized vector quasivariational-like inequalities, the system of generalized vector variational inequalities, the system of variational inequalities, the generalized implicit vector quasivariational inequality, as well as various extensions of the classic variational inequalities in the literature, and we present some existence results of a solution for the SGIVQVI without any monotonicity conditions.