Necessary and Sufficient Conditions for Efficiency Via Convexificators |
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Authors: | Do Van Luu |
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Institution: | 1. Institute of Mathematics, Vietnam Academy of Science and Technology, 18 Hoang Quoc Viet Road, 10307, Hanoi, Vietnam
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Abstract: | Based on the extended Ljusternik Theorem by Jiménez-Novo, necessary conditions for weak Pareto minimum of multiobjective programming problems involving inequality, equality and set constraints in terms of convexificators are established. Under assumptions on generalized convexity, necessary conditions for weak Pareto minimum become sufficient conditions. |
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