Abstract
© 2013, Springer Science+Business Media New York. We introduce two Moreau conjugacies for extended real-valued functions h on a separated locally convex space. In the first scheme, the biconjugate of h coincides with its closed convex hull, whereas, for the second scheme, the biconjugate of h is the evenly convex hull of h. In both cases, the biconjugate coincides with the supremum of the minorants of h that are either continuous affine or closed (respectively, open) halfspaces valley functions.
Original language | English |
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Pages (from-to) | 985-997 |
Journal | Journal of Optimization Theory and Applications |
Volume | 167 |
Issue number | 3 |
DOIs | |
Publication status | Published - 1 Dec 2015 |
Keywords
- Closed convex function
- Evenly convex function
- Moreau conjugation