The continuity of subdifferential mapping

DOI10.1006/JMAA.1997.5392zbMath0912.46046OpenAlexW2022188881MaRDI QIDQ1359659

Chaoxun Nan, Jian-Hua Wang

Publication date: 3 May 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5392

zbMATH Keywords

subdifferential mappinggauge of a bounded convex setsingle-valuedness criterion

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Convexity of real functions of several variables, generalizations (26B25) Convex sets in topological linear spaces; Choquet theory (46A55) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (1)

Geometric properties and continuity of the pre-duality mapping in Banach space

Cites Work

• On some geometric properties concerning closed convex sets
• Convex functions, monotone operators and differentiability
• Geometrical implications of upper semi-continuity of the duality mapping on a Banach space
• A continuity property related to Kuratowski's index of non-compactness, its relevance to the drop property, and its implications for differentiability theory
• On the drop and weak drop properties for a Banach space
• Characterisation of drop and weak drop properties for closed bounded convex sets

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