Generalized first class selectors for upper semi-continuous set-valued maps in Banach spaces

被引：1

作者：

Hansell, RW ^{[1
]}

Oncina, L

机构：

[1] Univ Connecticut, Dept Math, Storrs, CT 06269 USA

[2] Univ Murcia, Dept Matemat, Murcia 30100, Spain

来源：

CZECHOSLOVAK MATHEMATICAL JOURNAL | 2005年 / 55卷 / 01期

关键词：

measurable selectors; upper semi-continuous maps; point of continuity property;

D O I：

10.1007/s10587-005-0010-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we deal with weakly upper semi-continuous set-valued maps, taking arbitrary non-empty values, from a non-metric domain to a Banach space. We obtain selectors having the point of continuity property relative to the norm topology for a large class of compact spaces as a domain. Exact conditions under which the selector is of the first Borel class are also investigated.

引用

页码：145 / 155

页数：11

共 50 条

[31] Continuous Homogeneous Selections of Set-Valued Metric Generalized Inverses of Linear Operators in Banach Spaces
Hai Feng MA
Henryk HUDZIK
Wen WANG
Acta Mathematica Sinica, 2012, 28 (01) : 45 - 56
[32] On a Class of Generalized Vector Quasiequilibrium Problems with Set-Valued Maps
Sach, P. H.
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2008, 139 (02) : 337 - 350
[33] Inverse limits of upper semi-continuous set valued functions
Ingram, WT
Mahavier, WS
HOUSTON JOURNAL OF MATHEMATICS, 2006, 32 (01): : 119 - 130
[34] On a Class of Generalized Vector Quasiequilibrium Problems with Set-Valued Maps
P. H. Sach
Journal of Optimization Theory and Applications, 2008, 139 : 337 - 350
[35] Generalized set-valued strongly nonlinear variational inequalities in Banach spaces
Cho, YJ
Fang, YP
Huang, NJ
Kim, KH
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2003, 40 (02) : 195 - 205
[36] Generalized set-valued variational inclusions and resolvent equations in Banach spaces
Jeong, JU
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2004, 47 (8-9) : 1241 - 1247
[37] Approximation of continuous set-valued maps by constant set-valued maps with image balls
S. I. Dudov
A. B. Konoplev
Mathematical Notes, 2007, 82 : 469 - 473
[38] Approximation of continuous set-valued maps by constant set-valued maps with image balls
Dudov, S. I.
Konoplev, A. B.
MATHEMATICAL NOTES, 2007, 82 (3-4) : 469 - 473
[39] A TOPOLOGICAL POSITION OF THE SET OF STRONGLY DISCONTINUOUS MAPS IN THE SET OF UPPER SEMI-CONTINUOUS MAPS
Yang, Hanbiao
Yang, Liu
QUANTITATIVE LOGIC AND SOFT COMPUTING, 2012, 5 : 613 - 618
[40] INTEGRALS OF SET-VALUED MAPS IN BANACH SPACE
朱其吉
Science Bulletin, 1987, (24) : 1717 - 1717

← 1 2 3 4 5 →