Existence and Duality of Generalized ε‐Vector Equilibrium Problems
Hongyong Fu, Bin Dan, Xiangyu Liu · Journal of Applied Mathematics · 2012
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.