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arXiv · 1905.08334

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

Genaro López-Acedo·Adriana Nicolae·Bożena Piątek
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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.

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Genaro López-Acedo, Adriana Nicolae, Bożena Piątek. 2019-05-20. Geodesic rays, the "Lion-Man" game, and the fixed point property. https://arxiv.org/abs/1905.08334

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