Abstract

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 inequalities (GQVI) on a paracompact set X in a Hausdorff locally convex space E, where the set-valued operator T:X→2E* is either strongly pseudo-monotone or pseudo-monotone.

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