期刊
SET-VALUED AND VARIATIONAL ANALYSIS
卷 26, 期 4, 页码 867-885出版社
SPRINGER
DOI: 10.1007/s11228-017-0403-1
关键词
Compact sets; Set-valued functions; Metric selections; Metric linear combinations; Aumann integral; Kuratowski upper limit; Metric integral
资金
- Hermann Minkowski Center for Geometry at Tel-Aviv University
This paper introduces a new integral of univariate set-valued functions of bounded variation with compact images in R-d. The new integral, termed the metric integral, is defined using metric linear combinations of sets and is shown to consist of integrals of all the metric selections of the integrated multifunction. The metric integral is a subset of the Aumann integral, but in contrast to the latter, it is not necessarily convex. For a special class of segment functions equality of the two integrals is shown. Properties of the metric selections and related properties of the metric integral are studied. Several indicative examples are presented.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据