Fenchel–Moreau conjugation for lower semi-continuous functions

DOI10.1080/02331934.2010.507273zbMath1257.90071OpenAlexW2088280358MaRDI QIDQ3112502

Wilfredo Sosa, Elizabeth W. Karas, John Cotrina, Ademir Alves Ribeiro, Jin Yun Yuan

Publication date: 10 January 2012

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331934.2010.507273

zbMATH Keywords

convex functionlower semi-continuous functionproper functionFenchel-Moreau conjugateextension of the Fenchel conjugate

Mathematics Subject Classification ID

Convex programming (90C25) Convexity of real functions of several variables, generalizations (26B25)

Related Items (4)

Representation of continuous functions and its applications ⋮ A simplified conjugation scheme for lower semi-continuous functions ⋮ Semi-continuous quadratic optimization: existence conditions and duality scheme ⋮ Conjugacies adapted to lower semicontinuous functions

Cites Work

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• Continuous selections. I
• Some conjugation formulas and subdifferential formulas of convex analysis revisited
• \(({\ast},s)\)-dualities
• New formulas for the Legendre-Fenchel transform.
• Duality for equilibrium problems
• G-coupling functions
• Variational Analysis
• On a notion of subdifferentiability for non-convex functions^†
• On Conjugate Convex Functions

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