Characterizations of convex approximate subdifferential calculus in Banach spaces - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Transactions of the American Mathematical Society Année : 2016

Characterizations of convex approximate subdifferential calculus in Banach spaces

Résumé

We establish subdifferential calculus rules for the sum of convex functions defined on normed spaces. This is achieved by means of a condition relying on the continuity behaviour of the inf-convolution of their corresponding conjugates, with respect to any given topology intermediate between the norm and the weak* topologies on the dual space. Such a condition turns out to also be necessary in Banach spaces. These results extend both the classical formulas by Hiriart-Urruty and Phelps and by Thibault.

Dates et versions

hal-01414713 , version 1 (12-12-2016)

Identifiants

Citer

Rafael Correa, Abderrahim Hantoute, Abderrahim Jourani. Characterizations of convex approximate subdifferential calculus in Banach spaces. Transactions of the American Mathematical Society, 2016, 368 (7), pp.4831 - 4854. ⟨10.1090/tran/6589⟩. ⟨hal-01414713⟩
47 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More