Geodesic
Closing the Duality Gap in Linear Vector Optimization
Journal of convex analysis, Tome 11 (2004) no. 1, pp. 163-178.

Voir la notice de l'article provenant de la source Heldermann Verlag

Using a set-valued dual cost function we give a new approach to duality theory for linear vector optimization problems. We develop the theory very close to the scalar case. Especially, in contrast to known results, we avoid the appearance of a duality gap in case of b = 0 . Examples are given.
Classification : 90C29, 90C46, 90C05
Mots-clés : set-valued optimization, duality, linear multicriteria optimization 
@article{JCA_2004_11_1_JCA_2004_11_1_a10,
     author = {A. H. Hamel and F. Heyde and A. L\"ohne and Ch. Tammer and K. Winkler},
     title = {Closing the {Duality} {Gap} in {Linear} {Vector} {Optimization}},
     journal = {Journal of convex analysis},
     pages = {163--178},
     publisher = {mathdoc},
     volume = {11},
     number = {1},
     year = {2004},
     url = {http://geodesic.mathdoc.fr/item/JCA_2004_11_1_JCA_2004_11_1_a10/}
}
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A. H. Hamel; F. Heyde; A. Löhne; Ch. Tammer; K. Winkler. Closing the Duality Gap in Linear Vector Optimization. Journal of convex analysis, Tome 11 (2004) no. 1, pp. 163-178. http://geodesic.mathdoc.fr/item/JCA_2004_11_1_JCA_2004_11_1_a10/