• Corpus ID: 250072109

Fenchel-Moreau identities on convex cones

  title={Fenchel-Moreau identities on convex cones},
  author={Hong-Bin Chen and Jiaming Xia},
. A pointed convex cone naturally induces a partial order, and further a notion of nondecreasingness for functions. We consider extended real-valued functions defined on the cone. Monotone conjugates for these functions can be defined in an analogous way to the standard convex conjugate. The only difference is that the supremum is taken over the cone instead of the entire space. We give sufficient conditions for the cone under which the corresponding Fenchel–Moreau biconjugation identity holds for… 

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