On OM-decomposable sets

被引：3
|
作者：
Iusem, A. N. [1 ]
Todorov, M. I. [2 ]
机构：
[1] IMPA, Estr Dona Castorina 110, BR-22460320 Rio De Janeiro, RJ, Brazil
[2] Univ Amer, Dept Actuary & Math, Puebla, Mexico
来源：
COMPUTATIONAL & APPLIED MATHEMATICS | 2018年 / 37卷 / 03期
关键词：
Motzkin decomposable sets; Convex sets; Convex cones; CLOSED CONVEX-SETS; MOTZKIN DECOMPOSITION;
D O I：
10.1007/s40314-017-0486-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce and study the family of sets in a finite-dimensional Euclidean space which can be written as the Minkowski sum of an open, bounded, and convex set and a closed convex cone. We establish several properties of the class of such sets, called OM-decomposable, some of which extend related properties holding for the class of Motzkin decomposable sets (i.e., those for which the convex and bounded set in the decomposition is requested to be closed, hence compact).
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页码：2837 / 2844
页数：8
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