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Journal of Convex Analysis 24 (2017), No. 1, 319--331
Copyright Heldermann Verlag 2017

On the Rockafellar Function Associated to a Cyclically Monotone Mapping

Teodor Precupanu
Dept. of Mathematics, University "Al. I. Cuza", Bd. Carol 11, 700506 Iasi, Romania

We give some properties of the Rockafellar function used in integration theory of cyclically monotone mappings. This function is proper only in the case of cyclically monotone mappings. But, by a slight modification of its definition we can obtain a proper function even if the mapping is not cyclically monotone. Finally, two dual properties are established.

Keywords: Rockafellar function, cyclically monotone mapping, support function, subdifferential, Darboux integral, conjugate function.

MSC: 47H05, 52A41, 46B20

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