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Optimality conditions for Henig and globally proper efficient solutions with ordering cone has empty interior
Authors:Xun-Hua Gong
Institution:Department of Mathematics, Nanchang University, Nanchang 330047, China
Abstract:In this paper, we consider the set-valued vector optimization problems with constraint in locally convex spaces. We present the necessary and sufficient conditions for Henig efficient solution pair, globally proper efficient solution pair and super efficient solution pair without the ordering cones having the nonempty interior.
Keywords:Set-valued vector optimization  Optimality condition  Quasi interior  Henig efficient solution  Globally proper efficient solution
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