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Optimality conditions for vector equilibrium problems
Authors:Xun-Hua Gong
Affiliation: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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