On some geometric properties concerning closed convex sets.

Kutzarova, D. N., et al. "On some geometric properties concerning closed convex sets.." Collectanea Mathematica 42.2 (1991): 177-188. <http://eudml.org/doc/42504>.

@article{Kutzarova1991,
abstract = {In this article, we consider the (weak) drop property, weak property (a), and property (w) for closed convex sets. Here we give some relations between those properties. Particularly, we prove that C has (weak) property (a) if and only if the subdifferential mapping of Cº is (n-n) (respectively, (n-w)) upper semicontinuous and (weak) compact valued. This gives an extension of a theorem of Giles and the first author.},
author = {Kutzarova, D. N., Lin, Pei-Kee, Papini, P. L., Yu, Xin Tai},
journal = {Collectanea Mathematica},
keywords = {Espacios de Banach; Espacios de Frechet; Espacios métricos; Conjuntos convexos; drop property; weak property ; property ; closed convex sets; subdifferential mapping},
language = {eng},
number = {2},
pages = {177-188},
title = {On some geometric properties concerning closed convex sets.},
url = {http://eudml.org/doc/42504},
volume = {42},
year = {1991},
}

TY - JOUR
AU - Kutzarova, D. N.
AU - Lin, Pei-Kee
AU - Papini, P. L.
AU - Yu, Xin Tai
TI - On some geometric properties concerning closed convex sets.
JO - Collectanea Mathematica
PY - 1991
VL - 42
IS - 2
SP - 177
EP - 188
AB - In this article, we consider the (weak) drop property, weak property (a), and property (w) for closed convex sets. Here we give some relations between those properties. Particularly, we prove that C has (weak) property (a) if and only if the subdifferential mapping of Cº is (n-n) (respectively, (n-w)) upper semicontinuous and (weak) compact valued. This gives an extension of a theorem of Giles and the first author.
LA - eng
KW - Espacios de Banach; Espacios de Frechet; Espacios métricos; Conjuntos convexos; drop property; weak property ; property ; closed convex sets; subdifferential mapping
UR - http://eudml.org/doc/42504
ER -