The Barrier Cone of a Convex Set and the Closure of the Cover

被引：0
|
作者：
Bair, J. [1 ]
Dupin, J. C. [2 ]
机构：
[1] Univ Liege, FEGSS, B-4000 Liege, Belgium
[2] Univ Valenciennes, Dept Math, F-59304 Valenciennes, France
来源：
JOURNAL OF CONVEX ANALYSIS | 1999年 / 6卷 / 02期
关键词：
convex set; barrier cone; recession cone; cover; polar cone;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For an arbitrary non-empty closed convex set A in R-n, we prove that the polar of the difference between the barrier cone B(A) and its interior int B(A) coincides with the recession cone 0(+)(clG(A)) of the closure of the cover G(a).
引用
收藏
页码：395 / 398
页数：4
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