Duality for Closed Convex Functions and Evenly Convex Functions

作者:Volle M; Martinez Legaz J E*; Vicente Perez J
来源:Journal of Optimization Theory and Applications, 2015, 167(3): 985-997.
DOI:10.1007/s10957-013-0395-4

摘要

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.

  • 出版日期2015-12

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