Existence and Duality of Generalized ε-Vector Equilibrium Problems

Hong-Yong Fu, Bin Dan and Xiang-Yu Liu

Journal of Applied Mathematics, 2012, vol. 2012, 1-13

Abstract:

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:674512

DOI: 10.1155/2012/674512

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