# Fenchel-Moreau identities on convex cones

@inproceedings{Chen2020FenchelMoreauIO, title={Fenchel-Moreau identities on convex cones}, author={Hong-Bin Chen and Jiaming Xia}, year={2020} }

. 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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