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 38 条

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