2005 | OriginalPaper | Buchkapitel
Duality in Multiobjective Optimization Problems with Set Constraints
verfasst von : Riccardo Cambini, Laura Carosi
Erschienen in: Generalized Convexity, Generalized Monotonicity and Applications
Verlag: Springer US
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We propose four different duality problems for a vector optimization program with a set constraint, equality and inequality constraints. For all dual problems we state weak and strong duality theorems based on different generalized concavity assumptions. The proposed dual problems provide a unified framework generalizing Wolfe and Mond-Weir results.