A selection theorem for weak upper semi-continuous set-valued mappings

DOI10.1017/S0004972700016932zbMath0852.46017OpenAlexW1994113380MaRDI QIDQ4881936

Moors, Warren B.

Publication date: 13 June 1996

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

Full work available at URL: https://doi.org/10.1017/s0004972700016932

zbMATH Keywords

differentiabilityselectionBaire spaceset-valued mappingdual Banach spacesselection theoremcontinuous convex functionsJames' characterization of weak compactnessupper semicontinuous with respect to the weak topology

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Radon-Nikodým, Kre?n-Milman and related properties (46B22) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (2)

Generic continuity of restricted weak upper semi-continuous set-valued mappings ⋮ Nearly Chebyshev sets are almost convex

Cites Work

• Convex functions, monotone operators and differentiability.
• Separate continuity and joint continuity
• Geometrical implications of upper semi-continuity of the duality mapping on a Banach space
• Reflexivity and the sup of linear functionals
• Functions of the First Baire Class with Values in Banach Spaces
• Generalizations of a Theorem of Namioka
• Compacite Extremale
• Pointwise Compactness on Extreme Points
• Joint Continuity of Separately Continuous Functions
• Jeux Topologiques et Espaces de Namioka

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