Geodesic
Partial and Generalized Subconvexity in Vector Optimization Problems
Journal of convex analysis, Tome 8 (2001) no. 2, pp. 583-594 Cet article a éte moissonné depuis la source Heldermann Verlag

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This paper studies necessary conditions of weak efficiency of a constrained vector minimization problem with equality and inequality constraints in real linear spaces. These results are obtained under generalized convexity conditions through new alternative theorems and given in linear operator rules form. We present a relaxed subconvexlikeness and generalized subconvexlikeness, and likewise, define and related to this, other new concepts such as partial subconvexlikeness and partial generalized subconvexlikeness.
Classification : 90C26, 90C29
Mots-clés : Vector optimization, weak efficiency, partial subconvexlikeness, partial generalized subconvexlikeness 
@article{JCA_2001_8_2_JCA_2001_8_2_a16,
     author = {M. Ad\'an and V. Novo},
     title = {Partial and {Generalized} {Subconvexity} in {Vector} {Optimization} {Problems}},
     journal = {Journal of convex analysis},
     pages = {583--594},
     year = {2001},
     volume = {8},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JCA_2001_8_2_JCA_2001_8_2_a16/}
}
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M. Adán; V. Novo. Partial and Generalized Subconvexity in Vector Optimization Problems. Journal of convex analysis, Tome 8 (2001) no. 2, pp. 583-594. http://geodesic.mathdoc.fr/item/JCA_2001_8_2_JCA_2001_8_2_a16/