Restricted weak upper semicontinuous differentials of convex functions

DOI10.1017/S0004972700019146zbMath0987.46015OpenAlexW2007936619MaRDI QIDQ2716964

Vicente Montesinos Santalucía, Julio Benítez Lopez

Publication date: 16 May 2001

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700019146

zbMATH Keywords

subdifferential of convex functionsGoldstine's theoremFenchel biconjugate mappingrestricted weak upper semicontinuity

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Continuous and differentiable maps in nonlinear functional analysis (46T20) Duality and reflexivity in normed linear and Banach spaces (46B10) Derivatives of functions in infinite-dimensional spaces (46G05)

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Cites Work

• Convex functions, monotone operators and differentiability.
• Geometrical implications of upper semi-continuity of the duality mapping on a Banach space
• Generic continuity of restricted weak upper semi-continuous set-valued mappings
• On Upper Semicontinuity of Duality Mappings