EXTREMAL CHARACTERIZATIONS OF ASPLUND SPACES

Citation
Bs. Mordukhovich et Yg. Shao, EXTREMAL CHARACTERIZATIONS OF ASPLUND SPACES, Proceedings of the American Mathematical Society, 124(1), 1996, pp. 197-205
Citations number
17
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
ISSN journal
00029939
Volume
124
Issue
1
Year of publication
1996
Pages
197 - 205
Database
ISI
SICI code
0002-9939(1996)124:1<197:ECOAS>2.0.ZU;2-4
Abstract
We prove new characterizations of Asplund spaces through certain extre mal principles in nonsmooth analysis and optimization. The latter prin ciples provide necessary conditions for extremal points of set systems in terms of Frechet normals and epsilon-normals.