In this paper

a minimax inequality is obtaines. By using the minimax principle as a tool

some general theorems on solutions of the generalized variational inequalities in topologlcal vector spaces and the generalized bi-quasi-variational inequalities in locally convex Hausdorff topological vector spaces are obtained. The corresponding results of [1

2

4

5. 6] are extended and improved by the results represented in this paper.