Duality in vector optimization. I. Abstract duality scheme
Tran Quoc Chien (1984)
Kybernetika
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Tran Quoc Chien (1984)
Kybernetika
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Tran Quoc Chien (1987)
Kybernetika
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Tran Quoc Chien (1985)
Kybernetika
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P. Balbas, P. Jiménez Guerra (1992)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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I. Kouada (1994)
RAIRO - Operations Research - Recherche Opérationnelle
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Surjeet Kaur Suneja, Pooja Louhan (2014)
RAIRO - Operations Research - Recherche Opérationnelle
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In this paper we give necessary and sufficient optimality conditions for a vector optimization problem over cones involving support functions in objective as well as constraints, using cone-convex and other related functions. We also associate a unified dual to the primal problem and establish weak, strong and converse duality results. A number of previously studied problems appear as special cases.