Geodesic
Validity of the Union of Uniform Closed Balls Conjecture
Journal of convex analysis, Tome 18 (2011) no. 2, pp. 589-6

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

A proof is provided for the union of uniform closed balls conjecture introduced in a previous paper of the authors ["Proximal smoothness and the exterior sphere condition", J. Convex Analysis 16 (2009) 501--514]; see also C. Nour, R. J. Stern and J. Takche, "The union of uniform closed balls conjecture", Control and Cybernetics 38 (2009) 1525--1534, and "Generalized exterior sphere conditions and ϕ-convexity", Discrete and Continuous Dynamical Systems, Serie B (to appear). We also provide a generalization of this conjecture to the variable radius case.
Mots-clés : Interior and exterior sphere conditions, union of uniform closed balls property, proximal analysis, nonsmooth analysis 
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     title = {Validity of the {Union} of {Uniform} {Closed} {Balls} {Conjecture}},
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C. Nour; R. J. Stern; J. Takche. Validity of the Union of Uniform Closed Balls Conjecture. Journal of convex analysis, Tome 18 (2011) no. 2, pp. 589-6. http://geodesic.mathdoc.fr/item/JCA_2011_18_2_JCA_2011_18_2_a20/