In this paper 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.
Publié le : 2001-07-04
Classification:
convex analysis,
barrier cone,
support functional,
recession analysis,
semicoercive functional,
[MATH]Mathematics [math]
@article{hal-00068956,
author = {Adly, Samir and Ernst, Emil and Th\'era, Michel},
title = {A characterization of convex and semicoercive functionals},
journal = {HAL},
volume = {2001},
number = {0},
year = {2001},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00068956}
}
Adly, Samir; Ernst, Emil; Théra, Michel. A characterization of convex and semicoercive functionals. HAL, Tome 2001 (2001) no. 0, . http://gdmltest.u-ga.fr/item/hal-00068956/