Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 237191, 17 pages
doi:10.1155/2010/237191
Research Article

Generalized Bi-Quasivariational Inequalities for Quasi-Pseudomonotone Type II Operators on Noncompact Sets

Mohammad S. R. Chowdhury1 and Yeol Je Cho2

1Department of Mathematics, Lahore University of Management Sciences (LUMS), Phase II, Opposite Sector U, D.H.A., Lahore Cantt., Lahore 54792, Pakistan
2Department of Mathematics Education and the RINS, Gyeongsang National University, Chinju 660-701, South Korea

Received 3 November 2009; Accepted 18 January 2010

Academic Editor: Jong Kyu Kim

Copyright © 2010 Mohammad S. R. Chowdhury and Yeol Je Cho. 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 prove some existence results of solutions for a new class of generalized bi-quasivariational inequalities (GBQVI) for quasi-pseudomonotone type II and strongly quasi-pseudomonotone type II operators defined on noncompact sets in locally convex Hausdorff topological vector spaces. To obtain these results on GBQVI for quasi-pseudomonotone type II and strongly quasi-pseudomonotone type II operators, we use Chowdhury and Tan's generalized version (1996) of Ky Fan's minimax inequality (1972) as the main tool.