Geodesic rays, the "Lion-Man" game, and the fixed point property
Metric Geometry
2019-05-22 v1 Optimization and Control
Abstract
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.
Cite
@article{arxiv.1905.08334,
title = {Geodesic rays, the "Lion-Man" game, and the fixed point property},
author = {Genaro López-Acedo and Adriana Nicolae and Bożena Piątek},
journal= {arXiv preprint arXiv:1905.08334},
year = {2019}
}