The unique minimal dual representation of a convex function

DOI10.1016/J.JMAA.2010.04.017zbMath1203.46031OpenAlexW2047170288MaRDI QIDQ984820

Todd Sarver, Haluk İ. Ergin

Publication date: 20 July 2010

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.04.017

zbMATH Keywords

Mazur's theoremFenchel-Moreau dualitysingleton subdifferential

Mathematics Subject Classification ID

Duality theory (optimization) (49N15) Convexity of real functions of several variables, generalizations (26B25) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (3)

A nonsmooth approach to nonexpected utility theory under risk ⋮ The unique minimal dual representation of a convex function ⋮ Costly information acquisition and the temporal resolution of uncertainty

Cites Work

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• Convex functions, monotone operators and differentiability.
• The unique minimal dual representation of a convex function
• Notions of relative interior in Banach spaces
• Locally Efficient Monotone Operators
• A Unique Costly Contemplation Representation
• More on the Differentiability of Convex Functions
• Minimal Convex Uscos and Monotone Operators on Small Sets
• A Characterization of Reflexivity by the Lattice of Closed Subspaces

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