On the geometry and fixed point free mappings in hyperbolic spaces

Bozena Piatek

doi:10.1007/s11784-018-0581-y

On the geometry and fixed point free mappings in hyperbolic spaces

Bozena Piatek

Department of Mathematics (RMS/RMS1)

Research output: Contribution to journal › Article › peer-review

Abstract

In the paper, we focus on two problems in geodesic hyperbolic spaces. First, we will consider the behavior of Picard iterative sequences of fixed point free nonexpansive mappings in spaces of constant curvature. Second, motivated by Hotchkiss (Proc Am Math Soc 125:1903–1912, 1997) we will show under which additional assumptions the Gromov boundary of a hyperbolic space equipped with the topology defined by the visual metric coincides with the geodesic boundary equipped with the cone topology.

Original language	English
Article number	98
Journal	Journal of Fixed Point Theory and Applications
Volume	20
Issue number	3
DOIs	https://doi.org/10.1007/s11784-018-0581-y
Publication status	Published - 1 Sept 2018

Keywords

CAT(κ) space
Gromov product
fixed point free mapping
visual boundary

ASJC Scopus subject areas

Modeling and Simulation
Geometry and Topology
Applied Mathematics

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10.1007/s11784-018-0581-y

Cite this

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KW - visual boundary

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On the geometry and fixed point free mappings in hyperbolic spaces

Abstract

Keywords

ASJC Scopus subject areas

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