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Optimality conditions for vector equilibrium problems |
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| Authors: | Xun-Hua Gong |
| Institution: | Department of Mathematics, Nanchang University, Nanchang 330047, China |
| Abstract: | In this paper, we present the necessary and sufficient conditions for weakly efficient solution, Henig efficient solution, globally efficient solution, and superefficient solution to the vector equilibrium problems with constraints. As applications, we give the necessary and sufficient conditions for corresponding solution to the vector variational inequalities and vector optimization problems. |
| Keywords: | Vector equilibrium problems Optimality condition Weakly efficient solution Henig efficient solution Globally efficient solution Superefficient solution |
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