Optimality conditions for the Henig efficient solution of vector equilibrium problems with constraints |
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| Authors: | X J Long Y Q Huang Z Y Peng |
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| Institution: | 1. College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing, 400067, People??s Republic of China
2. College of Science, Chongqing JiaoTong University, Chongqing, 400074, People??s Republic of China
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| Abstract: | The purpose of this paper is to establish optimality conditions for vector equilibrium problems with constraints. By using
the separation of convex sets, we obtain the necessary and sufficient conditions for the Henig efficient solution and the
superefficient solution to the vector equilibrium problem with constraints. As applications of our results, we derive some
optimality conditions to the vector variational inequality problem and the vector optimization problem with constraints. |
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