Geodesic Ptolemy spaces and fixed points

Espínola García, Rafael; Nicolae, Adriana

doi:10.1016/j.na.2010.08.009

Artículo

dc.creator	Espínola García, Rafael	es
dc.creator	Nicolae, Adriana	es
dc.date.accessioned	2016-12-01T10:51:10Z
dc.date.available	2016-12-01T10:51:10Z
dc.date.issued	2011-01-01
dc.identifier.citation	Espínola García, R. y Nicolae, A. (2011). Geodesic Ptolemy spaces and fixed points. Nonlinear Analysis: Theory, Methods and Applications, 74 (1), 27-34.
dc.identifier.issn	0362-546X	es
dc.identifier.uri	http://hdl.handle.net/11441/49499
dc.description.abstract	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.	es
dc.description.sponsorship	Dirección General de Enseñanza Superior	es
dc.description.sponsorship	Junta de Andalucía	es
dc.description.sponsorship	Sectoral Operational Programme Human Resources Development (Romania)	es
dc.format	application/pdf	es
dc.language.iso	eng	es
dc.publisher	Elsevier	es
dc.relation.ispartof	Nonlinear Analysis: Theory, Methods and Applications, 74 (1), 27-34.
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.subject	Ptolemy inequality	es
dc.subject	Geodesic space	es
dc.subject	Fixed point	es
dc.subject	Nonexpansive mapping	es
dc.title	Geodesic Ptolemy spaces and fixed points	es
dc.title.alternative	Geodesic Ptolemy spaces and fixed point theory	es
dc.type	info:eu-repo/semantics/article	es
dcterms.identifier	https://ror.org/03yxnpp24
dc.type.version	info:eu-repo/semantics/submittedVersion	es
dc.rights.accessRights	info:eu-repo/semantics/openAccess	es
dc.contributor.affiliation	Universidad de Sevilla. Departamento de Análisis Matemático	es
dc.relation.projectID	MTM2009-10696-C02-01	es
dc.relation.projectID	FQM-127	es
dc.relation.projectID	POS DRU 6/1.5/S/3	es
dc.relation.publisherversion	http://ac.els-cdn.com/S0362546X10005560/1-s2.0-S0362546X10005560-main.pdf?_tid=7b8e07ce-b7b2-11e6-87a9-00000aacb35d&acdnat=1480588968_ab5b562006db47b20824c2193fdf6054	es
dc.identifier.doi	10.1016/j.na.2010.08.009	es
dc.contributor.group	Universidad de Sevilla. FQM127: Análisis Funcional no Lineal	es
idus.format.extent	14 p.	es
dc.journaltitle	Nonlinear Analysis: Theory, Methods and Applications	es
dc.publication.volumen	74	es
dc.publication.issue	1	es
dc.publication.initialPage	27	es
dc.publication.endPage	34	es
dc.identifier.idus	https://idus.us.es/xmlui/handle/11441/49499
dc.contributor.funder	Dirección General de Enseñanza Superior. España
dc.contributor.funder	Junta de Andalucía

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