# On some geometric properties concerning closed convex sets.

D. N. Kutzarova; Pei-Kee Lin; P. L. Papini; Xin Tai Yu

Collectanea Mathematica (1991)

- Volume: 42, Issue: 2, page 177-188
- ISSN: 0010-0757

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topKutzarova, 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 -

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