Geodesic rays, the "Lion-Man" game, and the fixed point property

被引：2
|
作者：
Lopez-Acedo, Genaro [1 ]
Nicolae, Adriana [2 ]
Piatek, Bozena [3 ]
机构：
[1] Univ Seville, Dept Math Anal IMUS, Seville, Spain
[2] Babes Bolyai Univ, Dept Math, Kogalniceanu 1, Cluj Napoca 400084, Romania
[3] Silesian Tech Univ, Dept Math, PL-44100 Gliwice, Poland
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2020年 / 487卷 / 01期
关键词：
Geodesic ray; Lion and man game; Fixed point property; CAT(0) geometry; Gromov hyperbolicity; UNBOUNDED SETS; MAPPINGS; COMPACTNESS; THEOREMS; PURSUIT; BANACH;
D O I：
10.1016/j.jmaa.2020.123948
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper focuses on the relation among the existence of different types of curves (such as directional ones, quasi-geodesic or geodesic rays), the (approximate) fixed point property for nonexpansive mappings, and a discrete lion and man game. Our main result holds in the setting of CAT(0) spaces that are additionally Gromov hyperbolic. (C) 2020 Elsevier Inc. All rights reserved.
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页数：17
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