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

页数：17

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