On some geometric properties concerning closed convex sets

Autores: Denka Kutzarova , Pei-Kee Lin, Pier Luigi Papini, Xin Tai Yu
Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 42, Fasc. 2, 1991, págs. 177-188
Idioma: inglés
Títulos paralelos:
- Sobre algunas propiedades geométricas de los conjuntos convexos cerrados
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Resumen
- 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.