Geodesic
Parametrically Prox-Regular Functions
Journal of convex analysis, Tome 21 (2014) no. 4, pp. 901-923.

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

Prox-regularity is a generalization of convexity that includes all C2, lower-C2, strongly amenable, and primal-lower-nice functions. The study of prox-regular functions provides insight on a broad spectrum of important functions. Parametrically prox-regular (para-prox-regular) functions are a further extension of this family, produced by adding a parameter. Such functions have been shown to play a key role in understanding stability of minimizers in optimization problems. This document discusses para-prox-regular functions in Rn. 
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     author = {W. L. Hare and C. Planiden},
     title = {Parametrically {Prox-Regular} {Functions}},
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W. L. Hare; C. Planiden. Parametrically Prox-Regular Functions. Journal of convex analysis, Tome 21 (2014) no. 4, pp. 901-923. http://geodesic.mathdoc.fr/item/JCA_2014_21_4_JCA_2014_21_4_a0/