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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:487

Article

Lopez-Acedo, Genaro¹  Nicolae, Adriana²  Piatek, Bozena³ 

[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

关键词: Geodesic ray;    Lion and man game;    Fixed point property;    CAT(0) geometry;    Gromov hyperbolicity;   

DOI  :  10.1016/j.jmaa.2020.123948

来源: Elsevier

【 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.

【 授权许可】

Free