Geodesic
A Characterization of Convex and Semicoercive Functionals
Journal of convex analysis, Tome 8 (2001) no. 1, pp. 127-148

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

We prove that every proper convex and lower semicontinuous functional Φ defined on a real reflexive Banach space X is semicoercive if and only if every small uniform perturbation of Φ attains its minimum value on X.
Classification : 49J40
Mots-clés : Convex analysis, barrier cone, support functional, recession analysis, semicoercive functional 
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     title = {A {Characterization} of {Convex} and {Semicoercive} {Functionals}},
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S. Adly; E. Ernst; M. Théra. A Characterization of Convex and Semicoercive Functionals. Journal of convex analysis, Tome 8 (2001) no. 1, pp. 127-148. http://geodesic.mathdoc.fr/item/JCA_2001_8_1_JCA_2001_8_1_a5/