Geodesic
Lipschitzian Behavior of the Fenchel Biconjugacy
Journal of convex analysis, Tome 9 (2002) no. 2, pp. 601-607.

Voir la notice de l'article provenant de la source Heldermann Verlag

We present sufficient conditions ensuring that the Legendre-Young-Fenchel biconjugacy is locally Lipschizian. An application to the continuity of some operations on the space of subsets of an Euclidean space is given.
Classification : 26E25, 49J53, 52A20, 54C60, 52A05
Mots-clés : Bipolar, conjugacy, biconjugate, convex set, excess, Fenchel transform, Hausdorff distance, Minkowski difference, support function 
@article{JCA_2002_9_2_JCA_2002_9_2_a16,
     author = {J.-P. Penot},
     title = {Lipschitzian {Behavior} of the {Fenchel} {Biconjugacy}},
     journal = {Journal of convex analysis},
     pages = {601--607},
     publisher = {mathdoc},
     volume = {9},
     number = {2},
     year = {2002},
     url = {http://geodesic.mathdoc.fr/item/JCA_2002_9_2_JCA_2002_9_2_a16/}
}
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J.-P. Penot. Lipschitzian Behavior of the Fenchel Biconjugacy. Journal of convex analysis, Tome 9 (2002) no. 2, pp. 601-607. http://geodesic.mathdoc.fr/item/JCA_2002_9_2_JCA_2002_9_2_a16/