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.

Duality in multiobjective optimization problems with set constraints

CAMBINI, RICCARDO;CAROSI, LAURA
2005-01-01

Abstract

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.
2005
Cambini, Riccardo; Carosi, Laura
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/174783
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