Geodesic
Proximal Smoothness and the Exterior Sphere Condition
Journal of convex analysis, Tome 16 (2009) no. 2, pp. 501-514.

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

Proximal smoothness and the exterior sphere condition are compared. It is shown via examples that these two properties are not necessarily equivalent, and geometric conditions are provided under which the equivalence holds.
Mots-clés : Proximal smoothness, interior and exterior sphere conditions, wedged sets, proximal analysis, nonsmooth analysis 
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     author = {C. Nour and R. J. Stern and J. Takche},
     title = {Proximal {Smoothness} and the {Exterior} {Sphere} {Condition}},
     journal = {Journal of convex analysis},
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     url = {http://geodesic.mathdoc.fr/item/JCA_2009_16_2_JCA_2009_16_2_a10/}
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C. Nour; R. J. Stern; J. Takche. Proximal Smoothness and the Exterior Sphere Condition. Journal of convex analysis, Tome 16 (2009) no. 2, pp. 501-514. http://geodesic.mathdoc.fr/item/JCA_2009_16_2_JCA_2009_16_2_a10/