Characterisation of drop and weak drop properties for closed bounded convex sets

J. R. Giles, Denka N. Kutzarova

Research output: Contribution to journalArticlepeer-review

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 languageEnglish (US)
Pages (from-to)377-385
Number of pages9
JournalBulletin of the Australian Mathematical Society
Volume43
Issue number3
DOIs
StatePublished - Jun 1991
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)

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