SELECTIONS AND APPROXIMATIONS OF CONVEX-VALUED EQUIVARIANT MAPPINGS

被引：0

作者：

Dzedzej, Zdzislaw ^{[1
]}

Kryszewski, Wojciech ^{[2
]}

机构：

[1] Gdansk Univ Technol, Fac Tech Phys & Appl Math, PL-80233 Gdansk, Poland

[2] Nicholas Copernicus Univ, Fac Math & Comp Sci, PL-87100 Torun, Poland

来源：

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2012年 / 40卷 / 02期

关键词：

Set-valued mapping; G-space; selection; graph-approximation; MAPS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present some abstract theorems on the existence of selections and graph-approximations of set-valued mappings with convex values in the equivariant setting, i.e. maps commuting with the action of a compact group. Some known results of the Michael, Browder and Cellina type are generalized to this context. The equivariant measurable as well as Caratheodory selection/approximation problems are also studied.

引用

页码：381 / 414

页数：34

共 50 条

[31] On linear selections of convex set-valued maps
V. Yu. Protasov
Functional Analysis and Its Applications, 2011, 45 : 46 - 55
[32] On selections of generalized convex set-valued maps
Inoan, Daniela
Popa, Dorian
AEQUATIONES MATHEMATICAE, 2014, 88 (03) : 267 - 276
[33] APPROXIMATE SELECTIONS FOR UPPER SEMICONTINUOUS CONVEX VALUED MULTIFUNCTIONS
BEER, G
JOURNAL OF APPROXIMATION THEORY, 1983, 39 (02) : 172 - 184
[34] On linear selections of convex set-valued maps
Protasov, V. Yu.
FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 2011, 45 (01) : 46 - 55
[35] On selections of generalized convex set-valued maps
Daniela Inoan
Dorian Popa
Aequationes mathematicae, 2014, 88 : 267 - 276
[36] Set-valued α-almost convex mappings
Llorens-Fuster, E
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1999, 233 (02) : 698 - 712
[37] POLARITY OF CONVEX VECTOR-VALUED MAPPINGS
PENOT, JP
THERA, M
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1979, 288 (07): : 419 - 422
[38] Continuous selections for proximal continuous paraconvex-valued mappings
Yamauchi, Takamitsu
TOPOLOGY AND ITS APPLICATIONS, 2014, 169 : 45 - 50
[39] Continuous selections for pseudo-lower semicontinuous set-valued mappings on convex structure spaces and hyperspace contractibility
LI Lei and WU CongxinDepartment of Mathematics
Chinese Science Bulletin, 1997, (14) : 1230 - 1231
[40] Continuous selections for pseudo-lower semicontinuous set-valued mappings on convex structure spaces and hyperspace contractibility
Li, L
Wu, CX
CHINESE SCIENCE BULLETIN, 1997, 42 (14): : 1230 - 1231

← 1 2 3 4 5 →