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Characterizations of the $E$-Benson proper efficiency in vector optimization problems

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  • In this paper, under the nearly $E$-subconvexlikeness, some characterizations of the $E$-Benson proper efficiency are established in terms of scalarization, Lagrange multipliers, saddle point criteria and duality for a vector optimization problem with set-valued maps. Our main results generalize and unify some previously known results.
    Mathematics Subject Classification: Primary: 49N15; Secondary: 90C26, 90C29, 90C46.

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