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Optimality conditions for approximate solutions of vector optimization problems

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  • In this paper, we introduce a new kind of properly approximate efficient solution of vector optimization problems. Some properties for this new class of approximate solutions are established. Also necessary and sufficient conditions via nonlinear scalarizations are obtained for properly approximate solutions. And under the assumption of cone subconvexlike functions, we derive linear scalarizations for properly approximate efficient solutions.
    Mathematics Subject Classification: 90C29, 90C30, 90C46.

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