Abstract

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.

Author information

Contact details are reproduced from the original publication and may be historical.

José Pedro Moreno

Departamento de Matemáticas, Facultad de Ciencias, Universidad Autónoma, Madrid 28049, Spain

josepedro.moreno@uam.es

Keywords

  • Convex set
  • boundary point
  • supporting cone
  • drop
  • multivalued map

Mathematics Subject Classification

49J53, 52A07

Suggested citation

J. P. Moreno, A. Seeger. “External Analysis of Boundary Points of Convex Sets: Supporting Cones and Drops.” Journal of Convex Analysis 16 (2009), No. 3&4, 939–957. https://doi.org/10.68381/jca16057

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Published by Heldermann Verlag, 2009. Rights now held by Banach Press.