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.