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.
引用
收藏
页数：17
相关论文
共 50 条
12345