The unique minimal dual representation of a convex function |
| |
Authors: | Haluk Ergin Todd Sarver |
| |
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 |
| |
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 |
| |
Keywords: | Fenchel-Moreau duality Mazur's theorem Singleton subdifferential |
本文献已被 ScienceDirect 等数据库收录! |
|