Artículo
Geodesic Ptolemy spaces and fixed points
Título alternativo | Geodesic Ptolemy spaces and fixed point theory |
Autor/es | Espínola García, Rafael
Nicolae, Adriana |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 2011-01-01 |
Fecha de depósito | 2016-12-01 |
Publicado en |
|
Resumen | 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 ... 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. |
Agencias financiadoras | Dirección General de Enseñanza Superior. España Junta de Andalucía |
Identificador del proyecto | MTM2009-10696-C02-01
FQM-127 POS DRU 6/1.5/S/3 |
Cita | Espínola García, R. y Nicolae, A. (2011). Geodesic Ptolemy spaces and fixed points. Nonlinear Analysis: Theory, Methods and Applications, 74 (1), 27-34. |
Ficheros | Tamaño | Formato | Ver | Descripción |
---|---|---|---|---|
Geodesic Ptolemy spaces and fixed ... | 215.3Kb | [PDF] | Ver/ | |