Geodesic
On the Necessity of some Constraint Qualification Conditions in Convex Programming
Journal of convex analysis, Tome 11 (2004) no. 1, pp. 095-11 Cet article a éte moissonné depuis la source Heldermann Verlag

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We realize a study of various constraint qualification conditions for the existence of Lagrange multipliers for convex minimization problems in general normed vector spaces; it is based on a new formula for the normal cone to the constraint set, on local metric regularity and a metric regularity property on bounded subsets. As a by-product we obtain a characterization of the metric regularity of a finite family of closed convex sets.
Mots-clés : convex function, constraint qualification, Lagrange multiplier, metric regularity, normal cone 
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     author = {D. Tiba and C. Zalinescu},
     title = {On the {Necessity} of some {Constraint} {Qualification} {Conditions} in {Convex} {Programming}},
     journal = {Journal of convex analysis},
     pages = {095--11},
     year = {2004},
     volume = {11},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JCA_2004_11_1_JCA_2004_11_1_a6/}
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D. Tiba; C. Zalinescu. On the Necessity of some Constraint Qualification Conditions in Convex Programming. Journal of convex analysis, Tome 11 (2004) no. 1, pp. 095-11. http://geodesic.mathdoc.fr/item/JCA_2004_11_1_JCA_2004_11_1_a6/