Geodesic
Sequential Optimality Conditions in Convex Programming via Perturbation Approach
Journal of convex analysis, Tome 15 (2008) no. 1, pp. 149-164

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

A necessary and sufficient sequential optimality condition without a constraint qualification for a general convex optimization problem is given in terms of the ε-subdifferential. Further, a sequential characterization of optimal solutions involving the convex subdifferential is derived using a version of the Bröndsted-Rockafellar Theorem. We prove that some results from the literature concerning sequential generalizations of the Pshenichnyi-Rockafellar Lemma are obtained as particular cases of our results. Moreover, by this general approach we succeed to improve some sequential Lagrange multiplier conditions given in the past.
Classification : 90C25, 90C46, 47A55, 42A50
Mots-clés : Convex programming, conjugate function, epsilon-subdifferential, sequential optimality conditions 
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     title = {Sequential {Optimality} {Conditions} in {Convex} {Programming} via {Perturbation} {Approach}},
     journal = {Journal of convex analysis},
     pages = {149--164},
     publisher = {mathdoc},
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     number = {1},
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     url = {http://geodesic.mathdoc.fr/item/JCA_2008_15_1_JCA_2008_15_1_a9/}
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R. I. Bot; E. R. Csetnek; G. Wanka. Sequential Optimality Conditions in Convex Programming via Perturbation Approach. Journal of convex analysis, Tome 15 (2008) no. 1, pp. 149-164. http://geodesic.mathdoc.fr/item/JCA_2008_15_1_JCA_2008_15_1_a9/