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

Created:
December 2, 2022
Modified:
December 1, 2023