External Analysis of Boundary Points of Convex Sets: Supporting Cones and Drops

被引：0

作者：

Moreno, Jose Pedro ^{[1
]}

Seeger, Alberto ^{[2
]}

机构：

[1] Univ Autonoma Madrid, Fac Ciencias, Dept Matemat, E-28049 Madrid, Spain

[2] Univ Avignon, Dept Math, F-84000 Avignon, France

来源：

JOURNAL OF CONVEX ANALYSIS | 2009年 / 16卷 / 3-4期

关键词：

Convex set; boundary point; supporting cone; drop; multivalued map; APERTURE-ANGLE; PROPERTY; OPTIMIZATION; COMPLEXITY; ALGORITHM;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：939 / 957

页数：19

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