“Lion–man” game and the fixed point property in Hilbert spaces

被引:0
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作者
Bozena Piatek
机构
[1] Silesian University of Technology,Institute of Mathematics
来源
Geometriae Dedicata | 2023年 / 217卷
关键词
Lion–man game; Hilbert space; Fixed point property; 49N75; 47H10; 46C99;
D O I
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中图分类号
学科分类号
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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