"Lion-man" game and the fixed point property in Hilbert spaces

被引：0
|
作者：
Piatek, Bozena [1 ]
机构：
[1] Silesian Univ Technol Gliwice, Inst Math, Gliwice, Poland
来源：
GEOMETRIAE DEDICATA | 2023年 / 217卷 / 06期
关键词：
Lion-man game; Hilbert space; Fixed point property; UNBOUNDED SETS; PURSUIT;
D O I：
10.1007/s10711-023-00838-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The main goal of the paper is to show that in the setting of a Hilbert space a closed and convex K has the fixed point property for nonexpansive mappings if and only if the lion always wins the Lion-Man game played in K.
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页数：7
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