Existence and Duality of Generalized ε-Vector Equilibrium Problems

Abstract EN

We consider a generalized ε-vector equilibrium problem which contain vector equilibrium problems and vector variational inequalities as special cases.

By using the KKM theorem, we obtain some existence theorems for the generalized ε-vector equilibrium problem.

We also investigate the duality of this generalized ε-vector equilibrium problem and discuss the equivalence relation between solutions of primal and dual problems.