Extreme Points of Convex Sets

被引：0

作者：

Soltan, Valeriu ^{[1
]}

机构：

[1] George Mason Univ, Dept Math Sci, Fairfax, VA 22030 USA

来源：

JOURNAL OF CONVEX ANALYSIS | 2023年 / 30卷 / 01期

关键词：

Convex set; convex hull; extreme point; recession cone;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given a nonempty set E subset of R-n, we provide necessary and sufficient conditions for the existence of a convex set K subset of R-n (possibly, nonclosed and unbounded) such that extK = E. Also, we describe a family of convex sets K subset of R-n satisfying the equality K = conv (extK), and, more general, K = conv (extK) + recK, where recK denotes the recession cone of K.

引用

页码：205 / 216

页数：12

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