Existence and duality of generalized ε-vector equilibrium problems

摘要

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