The unique minimal dual representation of a convex function |
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| Authors: | Haluk Ergin Todd Sarver |
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| Affiliation: | a Washington University in Saint Louis, Department of Economics, Campus Box 1208, Saint Louis, MO 63130, United States
b Northwestern University, Department of Economics, 2001 Sheridan Road, Evanston, IL 60208, United States |
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| Abstract: | Suppose (i) X is a separable Banach space, (ii) C is a convex subset of X that is a Baire space (when endowed with the relative topology) such that aff(C) is dense in X, and (iii) f:C→R is locally Lipschitz continuous and convex. The Fenchel-Moreau duality can be stated as |
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| Keywords: | Fenchel-Moreau duality Mazur's theorem Singleton subdifferential |
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