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
tprecup@uaic.ro
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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