Journal of Convex Analysis 16 (2009), No. 3, 939--957
Copyright Heldermann Verlag 2009
External Analysis of Boundary Points of Convex Sets: Supporting Cones and Drops
José Pedro Moreno
Departamento de Matemáticas, Facultad de Ciencias, Universidad Autónoma, Madrid 28049, Spain
josepedro.moreno@uam.es
Alberto Seeger
Department of Mathematics, University of Avignon, 33 rue Louis Pasteur, 84000 Avignon, France
alberto.seeger@univ-avignon.fr
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.
Keywords: Convex set, boundary point, supporting cone, drop, multivalued map.
MSC: 49J53, 52A07
[ Fulltext-pdf (191 KB)] for subscribers only.