Existence and duality of generalized vector equilibrium problems

Abstract

In this paper, we propose some dual formulations of generalized vector equilibrium problems. By using such dual formulations, we prove the existence of a solution to the generalized vector equilibrium problem under generalized pseudomonotonicity conditions. The results of this paper extend and generalize the results of I.V. Konnov and S. Schaible (2000, J. Optim. Theory Appl., 104, 395-408). © 2001 Academic Press.