GENERALIZED BI-QUASI-VARIATIONAL INEQUALITIES FOR QUASI-PSEUDO-MONOTONE TYPE III OPERATORS ON COMPACT SETS

Abstract

A new type of more general form of variational inequalities for quasi-pseudo-monotone type III and strong quasi-pseudo-monotone type III operators has been obtainedon compact domains in locally convex Hausdorff topological vector spaces. These more general forms of variational inequalities for the above types of operators used the more general form of minimax inequality by Chowdhury and Tan in [3] as the main tool to derive them. Our new results established in this paper should have potential applications in nonlinear analysis and related applications, e.g., see Aubin [1], Yuan [11] and references wherein.