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 
@article{JCA_2011_18_2_JCA_2011_18_2_a20,
     author = {C. Nour and R. J. Stern and J. Takche},
     title = {Validity of the {Union} of {Uniform} {Closed} {Balls} {Conjecture}},
     journal = {Journal of convex analysis},
     pages = {589--6},
     publisher = {mathdoc},
     volume = {18},
     number = {2},
     year = {2011},
     url = {http://geodesic.mathdoc.fr/item/JCA_2011_18_2_JCA_2011_18_2_a20/}
}
TY  - JOUR
AU  - C. Nour
AU  - R. J. Stern
AU  - J. Takche
TI  - Validity of the Union of Uniform Closed Balls Conjecture
JO  - Journal of convex analysis
PY  - 2011
SP  - 589
EP  - 6
VL  - 18
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JCA_2011_18_2_JCA_2011_18_2_a20/
ID  - JCA_2011_18_2_JCA_2011_18_2_a20
ER  - 
%0 Journal Article
%A C. Nour
%A R. J. Stern
%A J. Takche
%T Validity of the Union of Uniform Closed Balls Conjecture
%J Journal of convex analysis
%D 2011
%P 589-6
%V 18
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JCA_2011_18_2_JCA_2011_18_2_a20/
%F JCA_2011_18_2_JCA_2011_18_2_a20
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/