VECTOR QUASI-EQUILIBRIUM PROBLEMS

In this paper, we study the vector quasi- equilibrium problem. Contrary to the proofs used for quasimonotone varia- tional inequalities in [2] and for quasi-equilibrium problems in [4] which are based on KKM techniques, the existence results for so- lutions for vector quasi-equilibrium problem is proved by mixing a Kakutani-Fan-Glisksberg fixed point theorem with an adapted study of the stability (regularity) of the solution set (map) of a perturbed vector convex feasible problem.