Continuity of multifunctions characterized by Steiner selections

被引：3
|
作者：
Dentcheva, D [1 ]
机构：
[1] Stevens Inst Technol, Dept Math Sci, Hoboken, NJ 07030 USA
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2001年 / 47卷 / 03期
关键词：
Steiner center; selections; Castaing representation; continuity and measurability of multifunctions;
D O I：
10.1016/S0362-546X(01)00327-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider set-valued mappings defined on a topological space with closed convex images in R-n. The measurability of a multifunction is characterized by the existence of a Castaing representation for it: a countable set of measurable selections that pointwise fills up the graph of the multifunction. Our aim is to construct a Castaing representation that characterizes Hausdorff continuity of the multifunction. The construction uses generalized Steiner points.
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页码：1985 / 1996
页数：12
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