Optimality conditions of vector set-valued optimization problem involving relative interior.
Zhou, Zhiang (2011)
Journal of Inequalities and Applications [electronic only]
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Zhou, Zhiang (2011)
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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.
Skarpness, Brad, Sposito, V.A. (1982)
International Journal of Mathematics and Mathematical Sciences
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Wang, Qi-Lin (2011)
Journal of Inequalities and Applications [electronic only]
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Lê Dung Muu (1985)
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