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.
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页码：381 / 414
页数：34
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