Published December 1, 2016 | Version v1
Publication Metadata-only

Geodesic Ptolemy spaces and fixed points

Creators

Contributors

Description

We prove that geodesic Ptolemy spaces with a continuous midpoint map are strictly convex. Moreover, we show that geodesic Ptolemy spaces with a uniformly continuous midpoint map are reflexive and that in such a setting bounded sequences have unique asymptotic centers. These properties will then be applied to yield a series of fixed point results specific to CAT(0) spaces.

Abstract

Dirección General de Enseñanza Superior

Abstract

Junta de Andalucía

Abstract

Sectoral Operational Programme Human Resources Development (Romania)

Additional details

Identifiers

URL
https://idus.us.es/handle/11441/49499
URN
urn:oai:idus.us.es:11441/49499

Origin repository

Origin repository
USE