External Analysis of Boundary Points of Convex Sets: Supporting Cones and Drops
Journal of convex analysis, Tome 16 (2009) no. 3, pp. 939-957
Cet article a éte moissonné depuis la source Heldermann Verlag
Let K be a solid closed convex set in a normed space. We study the geometry of the boundary of K with the help of some multivalued maps defined on the exterior of K. Supporting cones and drops are the main tools of analysis.
Classification :
49J53, 52A07
Mots-clés : Convex set, boundary point, supporting cone, drop, multivalued map
Mots-clés : Convex set, boundary point, supporting cone, drop, multivalued map
@article{JCA_2009_16_3_JCA_2009_16_3_a22,
author = {J. P. Moreno and A. Seeger},
title = {External {Analysis} of {Boundary} {Points} of {Convex} {Sets:} {Supporting} {Cones} and {Drops}},
journal = {Journal of convex analysis},
pages = {939--957},
year = {2009},
volume = {16},
number = {3},
url = {http://geodesic.mathdoc.fr/item/JCA_2009_16_3_JCA_2009_16_3_a22/}
}
TY - JOUR AU - J. P. Moreno AU - A. Seeger TI - External Analysis of Boundary Points of Convex Sets: Supporting Cones and Drops JO - Journal of convex analysis PY - 2009 SP - 939 EP - 957 VL - 16 IS - 3 UR - http://geodesic.mathdoc.fr/item/JCA_2009_16_3_JCA_2009_16_3_a22/ ID - JCA_2009_16_3_JCA_2009_16_3_a22 ER -
J. P. Moreno; A. Seeger. External Analysis of Boundary Points of Convex Sets: Supporting Cones and Drops. Journal of convex analysis, Tome 16 (2009) no. 3, pp. 939-957. http://geodesic.mathdoc.fr/item/JCA_2009_16_3_JCA_2009_16_3_a22/