Abstract
Modifying the concept underlying Daneš' drop theorem, Rolewicz introduced the notion of the drop property of a norm which was later generalised to the weak drop property of a norm. Kutzarova extended the discussion to consider the drop property for closed bounded convex sets. Here we characterise the drop and weak drop properties for such sets by upper semi-continuous and compact valued subdifferential mappings.
Original language | English (US) |
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Pages (from-to) | 377-385 |
Number of pages | 9 |
Journal | Bulletin of the Australian Mathematical Society |
Volume | 43 |
Issue number | 3 |
DOIs | |
State | Published - Jun 1991 |
Externally published | Yes |
ASJC Scopus subject areas
- General Mathematics