Continuous selections for set-valued mappings with finite-dimensional convex values

被引：0

作者：

Yamauchi, Takamitsu ^{[1
]}

机构：

[1] Shimane Univ, Dept Math & Comp Sci, Matsue, Shimane 6908504, Japan

来源：

TOPOLOGY AND ITS APPLICATIONS | 2012年 / 159卷 / 04期

关键词：

Continuous selection; Set-valued mapping;

D O I：

10.1016/j.topol.2011.11.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show selection theorems for set-valued mappings with finite-dimensional convex values, one of which is a partial extension of a selection theorem due to S. Barov (2008) [1]. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：1219 / 1222

页数：4

共 50 条

[31] Best approximation theorem for set-valued mappings without convex values and continuity
Ding, XP
He, YR
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 1998, 19 (09) : 831 - 836
[32] Local affine selections of convex set-valued functions
Wasowicz, Szymon
GEORGIAN MATHEMATICAL JOURNAL, 2019, 26 (04) : 621 - 624
[33] Best approximation theorem for set-valued mappings without convex values and continuity
Ding, Xieping
He, Yiran
Yadian Yu Shengguang/Piezoelectrics and Acoustooptics, 1998, 20 (05): : 831 - 836
[34] SET-VALUED MAPPINGS AND EXTENSION OF CONTINUOUS-MAPPINGS
COBAN, MM
LECTURE NOTES IN MATHEMATICS, 1984, 1060 : 11 - 16
[35] CONTINUOUS-SELECTIONS AND APPROXIMATE SELECTION FOR SET-VALUED MAPPINGS AND APPLICATIONS TO METRIC PROJECTIONS
DEUTSCH, F
KENDEROV, P
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1983, 14 (01) : 185 - 194
[36] LOWER SEMICONTINUITY, ALMOST LOWER SEMICONTINUITY, AND CONTINUOUS-SELECTIONS FOR SET-VALUED MAPPINGS
DEUTSCH, F
INDUMATHI, V
SCHNATZ, K
JOURNAL OF APPROXIMATION THEORY, 1988, 53 (03) : 266 - 294
[37] Between quasi-convex and convex set-valued mappings
Benoist, J
Popovici, N
APPLIED MATHEMATICS LETTERS, 2004, 17 (03) : 245 - 247
[38] Lipschitz Selections of Set-Valued Mappings and Helly's Theorem
Shvartsman, Pavel
JOURNAL OF GEOMETRIC ANALYSIS, 2002, 12 (02) : 289 - 324
[39] Selections of set-valued mappings with hereditarily collectionwise normal domain
Shishkov, I
TOPOLOGY AND ITS APPLICATIONS, 2004, 142 (1-3) : 95 - 100
[40] Lipschitz selections of set-valued mappings and Helly’s theorem
Pavel Shvartsman
The Journal of Geometric Analysis, 2002, 12 : 289 - 324

← 1 2 3 4 5 →