Proximal Smoothness and the Exterior Sphere Condition
Journal of convex analysis, Tome 16 (2009) no. 2, pp. 501-514
Cet article a éte moissonné depuis 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
@article{JCA_2009_16_2_JCA_2009_16_2_a10,
author = {C. Nour and R. J. Stern and J. Takche},
title = {Proximal {Smoothness} and the {Exterior} {Sphere} {Condition}},
journal = {Journal of convex analysis},
pages = {501--514},
year = {2009},
volume = {16},
number = {2},
url = {http://geodesic.mathdoc.fr/item/JCA_2009_16_2_JCA_2009_16_2_a10/}
}
TY - JOUR AU - C. Nour AU - R. J. Stern AU - J. Takche TI - Proximal Smoothness and the Exterior Sphere Condition JO - Journal of convex analysis PY - 2009 SP - 501 EP - 514 VL - 16 IS - 2 UR - http://geodesic.mathdoc.fr/item/JCA_2009_16_2_JCA_2009_16_2_a10/ ID - JCA_2009_16_2_JCA_2009_16_2_a10 ER -
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/