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Second order mixed type duality in multiobjective programming problems
Authors:B Aghezzaf
Institution:Département de Mathématiques & Informatique, Université Hassan II-Ain Chock, Faculté des Sciences, Casablanca, Morocco
Abstract:Second order mixed type dual is introduced for multiobjective programming problems. Results about weak duality, strong duality, and strict converse duality are established under generalized second order (F,ρ)-convexity assumptions. These results generalize the duality results recently given by Aghezzaf and Hachimi involving generalized first order (F,ρ)-convexity conditions.
Keywords:Multiobjective programming  Sufficient solutions  Duality  Second order (F  ρ)-convexity  Generalized second order (F  ρ)-convexity
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