Journal of convex analysis, Tome 16 (2009) no. 3, pp. 845-856
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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/
@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},
year = {2009},
volume = {16},
number = {3},
url = {http://geodesic.mathdoc.fr/item/JCA_2009_16_3_JCA_2009_16_3_a16/}
}
TY - JOUR
AU - G. Y. Li
AU - V. Jeyakumar
TI - Qualification-Free Optimality Conditions for Convex Programs with Separable Inequality Constraints
JO - Journal of convex analysis
PY - 2009
SP - 845
EP - 856
VL - 16
IS - 3
UR - http://geodesic.mathdoc.fr/item/JCA_2009_16_3_JCA_2009_16_3_a16/
ID - JCA_2009_16_3_JCA_2009_16_3_a16
ER -
%0 Journal Article
%A G. Y. Li
%A V. Jeyakumar
%T Qualification-Free Optimality Conditions for Convex Programs with Separable Inequality Constraints
%J Journal of convex analysis
%D 2009
%P 845-856
%V 16
%N 3
%U http://geodesic.mathdoc.fr/item/JCA_2009_16_3_JCA_2009_16_3_a16/
%F JCA_2009_16_3_JCA_2009_16_3_a16
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.
