Geodesic
Strongly Adequate Functions on Banach Spaces
Journal of convex analysis, Tome 20 (2013) no. 3, pp. 655-668

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

The notion of adequate function has been recently introduced in order to characterize the essentially strictly convex functions on a reflexive Banach space among the weakly lower semicontinuous ones. In this paper we reinforce this concept and show that a lower semicontinuous function is essentially firmly subdifferentiable if and only if it is strongly adequate.
Classification : 46G05, 49J50, 46N10
Mots-clés : Convex duality, well posed minimization problem, essential firm subdifferentiability, essential strong convexity, essential Frechet differentiability, total convexity, E-space 
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     author = {M. Volle and C. Zalinescu},
     title = {Strongly {Adequate} {Functions} on {Banach} {Spaces}},
     journal = {Journal of convex analysis},
     pages = {655--668},
     publisher = {mathdoc},
     volume = {20},
     number = {3},
     year = {2013},
     url = {http://geodesic.mathdoc.fr/item/JCA_2013_20_3_JCA_2013_20_3_a2/}
}
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M. Volle; C. Zalinescu. Strongly Adequate Functions on Banach Spaces. Journal of convex analysis, Tome 20 (2013) no. 3, pp. 655-668. http://geodesic.mathdoc.fr/item/JCA_2013_20_3_JCA_2013_20_3_a2/