Solvability of a System of Vector Equilibrium Prob

Authors: Rong Hu

Publish Date: 2015/09/14

Volume: 39, Issue: 4, Pages: 1379-1390

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Abstract

In this paper we study the solvability of a system of vector equilibrium problems We extend the concept of topological pseudomonotonicity to a family of mappings We prove existence results for the system of vector equilibrium problems under topological pseudomonotonicity conditions by the Kakutani–Fan–Glicksberg fixed point theorem As applications we obtain existence results for systems of equilibrium problems under topological pseudomonotonicity conditionsThe author would like to thank the referees and the editor for their helpful comments and suggestions which lead to improvements of this paper The author would like to thank Dr YP Fang for his helpful discussion when preparing this paper This work was partially supported by the National Science Foundation of China 11201042 11471230 and the Scientific Research Foundation of CUIT J201216 KYTZ201128

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