On some geometric properties concerning closed convex sets.
Kutzarova, D. N. ; Lin, Pei-Kee ; Papini, P. L. ; Yu, Xin Tai
Collectanea Mathematica, Tome 42 (1991), p. 177-188 / Harvested from Biblioteca Digital de Matemáticas
Access to full text

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.

Publié le : 1991-01-01
DMLE-ID : 498 
@article{urn:eudml:doc:42504,
     title = {On some geometric properties concerning closed convex sets.},
     journal = {Collectanea Mathematica},
     volume = {42},
     year = {1991},
     pages = {177-188},
     zbl = {0773.46005},
     mrnumber = {MR1203398},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:42504}
}

Kutzarova, D. N.; Lin, Pei-Kee; Papini, P. L.; Yu, Xin Tai. On some geometric properties concerning closed convex sets.. Collectanea Mathematica, Tome 42 (1991) pp. 177-188. http://gdmltest.u-ga.fr/item/urn:eudml:doc:42504/