Generalized Quasi-variational Inequalities on Non-compact Sets with Pseudo-monotone Operators

In this paper we first generalize a Ky Fan minimax inequality. Then we obtain two foundational quasi-variational inequalities which play a key role throughout this paper. We shall use these results to obtain some general theorems on solutions of the generalized quasi-variational inequalitiesŽGQVI.on a paracompact set X in a Hausdorff locally convex space E, where the set-valued operator T : X 2 E is either strongly pseudo-monotone or pseudo-monotone