The Demyanov metric and some other metrics in the family of convex sets

被引：2

作者：

Rzezuchowski, Tadeusz ^{[1
]}

机构：

[1] Warsaw Univ Technol, Fac Math & Informat Sci, PL-00662 Warsaw, Poland

来源：

CENTRAL EUROPEAN JOURNAL OF MATHEMATICS | 2012年 / 10卷 / 06期

关键词：

Demyanov metric; Hausdorff metric; Convex sets; Small changes of sets; SPACE;

D O I：

10.2478/s11533-012-0129-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe some known metrics in the family of convex sets which are stronger than the Hausdorff metric and propose a new one. These stronger metrics preserve in some sense the facial structure of convex sets under small changes of sets.

引用

页码：2229 / 2239

页数：11

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