Title: "Characterizations of Solutions for Vector quilibrium Problems"

In this talk, we characterize thesolutions of the vector equilibrium problem as well as the dualvector equilibrium problem. We also establish vectoroptimization problem formulations of the set-valued maps forvector equilibrium problems and dual vector equilibrium problems,which include vector variational inequality and vectorcomplementarity problems. The set-valued maps involved in ourformulations depend on the data of the vector equilibrium problems,but not on their solution sets.We also present that the solution sets of our vector optimizationproblems of the set-valued maps contain or coincide with the solution setsof the vector equilibrium problems.