STABILITY OF SOLUTIONS TO PARAMETRIC VECTOR QUASI-EQUILIBRIUM PROBLEMS WITH VARIABLE ORDERING STRUCTURES

Abstract

In this article, we consider the strong vector quasi-equilibrium problems with variable ordering structures. By perturbing the problems with parameters, we study the stability of solutions to reference problems. By imposing appropriate assumptions on the objective mapping and constraints, we establish sufficient conditions for certain properties of the solution mapping, such as compactness, continuity/semicontinuity in the sense of Berge and Hausdorff. These results are applied to establish stability conditions for the Walrasian equilibrium problems.