On the pointwise maximum of convex functions

DOI10.1090/S0002-9939-00-05449-6zbMath0967.46050OpenAlexW1524449326MaRDI QIDQ4508162

Stephen Simons, S. P. Fitzpatrick

Publication date: 3 October 2000

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-00-05449-6

zbMATH Keywords

conjugatebiconjugateconvex lower-semicontinuous functionsAttouch-Brézis constraint qualificationpointwise maximum of convex functionspreconjugate

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Duality theory (optimization) (49N15)

Related Items (5)

The conjugate of the pointwise maximum of two convex functions revisited ⋮ Quasidense monotone multifunctions ⋮ On the second conjugate of several convex functions in general normed vector spaces ⋮ On biconjugates of infimal functions ⋮ A Study of Convex Convex-Composite Functions via Infimal Convolution with Applications

Cites Work

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• Über das von-Neumannsche Minimax-Theorem
• On the maximal monotonicity of subdifferential mappings
• Opérateurs monotones non linéaires dans les espaces de Banach non réflexifs. (Nonlinear monotone operators on nonreflexive Banach spaces)
• Minimax Theorems

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