Published December 1, 2016
| Version v1
Publication
Geodesic Ptolemy spaces and fixed points
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
- URL
- https://idus.us.es/handle/11441/49499
- URN
- urn:oai:idus.us.es:11441/49499
- Origin repository
- USE