Geodesic
Qualification-Free Optimality Conditions for Convex Programs with Separable Inequality Constraints
Journal of convex analysis, Tome 16 (2009) no. 3, pp. 845-856.

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

We show that separable convex functions enjoy ε-subdifferential sum formula as well as the Fenchel duality without a regularity assumption, and establish that for convex programs with separable convex constraints a new partially asymptotic Lagrange multiplier conditions hold without a constraint qualification. Examples are given to illustrate the results. 
@article{JCA_2009_16_3_JCA_2009_16_3_a16,
     author = {G. Y. Li and V. Jeyakumar},
     title = {Qualification-Free {Optimality} {Conditions} for {Convex} {Programs} with {Separable} {Inequality} {Constraints}},
     journal = {Journal of convex analysis},
     pages = {845--856},
     publisher = {mathdoc},
     volume = {16},
     number = {3},
     year = {2009},
     url = {http://geodesic.mathdoc.fr/item/JCA_2009_16_3_JCA_2009_16_3_a16/}
}
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G. Y. Li; V. Jeyakumar. Qualification-Free Optimality Conditions for Convex Programs with Separable Inequality Constraints. Journal of convex analysis, Tome 16 (2009) no. 3, pp. 845-856. http://geodesic.mathdoc.fr/item/JCA_2009_16_3_JCA_2009_16_3_a16/