On Optimality Conditions for Henig Efficiency and Superefficiency in Vector Equilibrium Problems |
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| Authors: | Do Van Luu Tran Thi Mai |
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| Institution: | 1. Thang Long University, Hanoi, Vietnam;2. Hanoi Institute of Mathematics, Vietnam Academy of Science and Technology, Hanoi, Vietnam;3. dvluu@math.ac.vn;5. Thai Nguyen University of Economics and Business Administration, Thai Nguyen, Vietnam |
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| Abstract: | AbstractNecessary optimality conditions for local Henig efficient and superefficient solutions of vector equilibrium problems involving equality, inequality, and set constraints in Banach space with locally Lipschitz functions are established under a suitable constraint qualification via the Michel–Penot subdifferentials. With assumptions on generalized convexity, necessary conditions for Henig efficiency and superefficiency become sufficient ones. Some applications to vector variational inequalities and vector optimization problems are given as well. |
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| Keywords: | Clarke subdifferential local Henig efficient solutions local superefficient solutions Michel–Penot subdifferential vector equilibrium problems vector optimization problems vector variational inequalities |
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