Geodesic
Unified duality for vector optimization problem over cones involving support functions
RAIRO - Operations Research - Recherche Opérationnelle, Tome 48 (2014) no. 3, pp. 271-302

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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.

DOI : 10.1051/ro/2013059
Classification : 90C29, 90C46, 90C25, 90C26
Keywords: vector optimization, cones, support function, optimality, duality 
@article{RO_2014__48_3_271_0,
     author = {Suneja, Surjeet Kaur and Louhan, Pooja},
     title = {Unified duality for vector optimization problem over cones involving support functions},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {271--302},
     publisher = {EDP-Sciences},
     volume = {48},
     number = {3},
     year = {2014},
     doi = {10.1051/ro/2013059},
     mrnumber = {3264379},
     zbl = {1295.90073},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/ro/2013059/}
}
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Suneja, Surjeet Kaur; Louhan, Pooja. Unified duality for vector optimization problem over cones involving support functions. RAIRO - Operations Research - Recherche Opérationnelle, Tome 48 (2014) no. 3, pp. 271-302. doi: 10.1051/ro/2013059

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