The continuity of subdifferential mapping
type: Item
instance of: scholarly article
title: The continuity of subdifferential mapping
zbMATH Open document ID: 0912.46046
author: Chaoxun Nan
author: Jian-Hua Wang
published in: Journal of Mathematical Analysis and Applications
publication date: 1999-05-03T00:00:00Z
review text: The authors discuss continuity of the subdifferential mapping of the gauge of a bounded convex set with the origin an interior point and find a single-valuedness criterion for the mapping.
Mathematics Subject Classification ID: 46G05
Mathematics Subject Classification ID: 46A55
Mathematics Subject Classification ID: 26B25
Mathematics Subject Classification ID: 49J52
zbMATH DE Number: 1031643
zbMATH Keywords: gauge of a bounded convex set
zbMATH Keywords: subdifferential mapping
zbMATH Keywords: single-valuedness criterion
reviewed by: S. S. Kutateladze
MaRDI profile type: Publication
full work available at URL: jmaa.1997.5392
OpenAlex ID: W2022188881
cites work: Geometrical implications of upper semi-continuity of the duality mapping on a Banach space
cites work: Characterisation of drop and weak drop properties for closed bounded convex sets
cites work: A continuity property related to Kuratowski's index of non-compactness, its relevance to the drop property, and its implications for differentiability theory
cites work: On the drop and weak drop properties for a Banach space
cites work: On some geometric properties concerning closed convex sets
cites work: Convex functions, monotone operators and differentiability
DOI: 10.1006/JMAA.1997.5392
description: scientific article; zbMATH DE number 1031643