Citation
S. Adly et al., A characterization of convex and semicoercive functionals, J CONVEX AN, 8(1), 2001, pp. 127-148
Citations number
10
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF CONVEX ANALYSIS
ISSN journal
09446532
→ ACNP
Volume
8
Issue
1
Year of publication
2001
Pages
127 - 148
Database
ISI
SICI code
0944-6532(2001)8:1<127:ACOCAS>2.0.ZU;2-4
Abstract
In this paper we prove that every proper convex and lower semicontinuous fu
nctional Phi defined on a real reflexive Banach space X is semicoercive if
and only if every small uniform perturbation of Phi attains its minimum val
ue on X.