The fixed point property and unbounded sets in CAT(0) spaces

Espínola García, Rafael; Pia̧tek, Bozėna

doi:10.1016/j.jmaa.2013.06.038

Artículo

dc.creator	Espínola García, Rafael	es
dc.creator	Pia̧tek, Bozėna	es
dc.date.accessioned	2016-11-14T07:23:50Z
dc.date.available	2016-11-14T07:23:50Z
dc.date.issued	2013-12-15
dc.identifier.citation	Espínola García, R. y Pia̧tek, B. (2013). The fixed point property and unbounded sets in CAT(0) spaces. Journal of Mathematical Analysis and Applications, 408 (2), 638-654.
dc.identifier.issn	0022-247X	es
dc.identifier.uri	http://hdl.handle.net/11441/48490
dc.description.abstract	In this work we study the fixed point property for nonexpansive self-mappings defined on convex and closed subsets of a CAT(0) space. We will show that a positive answer to this problem is very much linked with the Euclidean geometry of the space while the answer is more likely to be negative if the space is more hyperbolic. As a consequence we extend a very well known result of W.O. Ray on Hilbert spaces.	es
dc.description.sponsorship	Dirección General de Enseñanza Superior	es
dc.description.sponsorship	Junta de Andalucía	es
dc.format	application/pdf	es
dc.language.iso	eng	es
dc.publisher	Elsevier	es
dc.relation.ispartof	Journal of Mathematical Analysis and Applications, 408 (2), 638-654.
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.subject	Nonexpansive mappings	es
dc.subject	Fixed points	es
dc.subject	Unbounded convex sets	es
dc.subject	CAT(0) spaces	es
dc.subject	Banach-Steinhaus theorem	es
dc.title	The fixed point property and unbounded sets in CAT(0) spaces	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	MTM2012-34847C02-01	es
dc.relation.projectID	FQM-127	es
dc.relation.publisherversion	http://ac.els-cdn.com/S0022247X13005969/1-s2.0-S0022247X13005969-main.pdf?_tid=cdf7cca0-aa3a-11e6-b777-00000aacb35f&acdnat=1479108202_00015a8e1b5c07fa48f1bc5535380eea	es
dc.identifier.doi	10.1016/j.jmaa.2013.06.038	es
dc.contributor.group	Universidad de Sevilla. FQM127: Análisis Funcional no Lineal	es
idus.format.extent	25 p.	es
dc.journaltitle	Journal of Mathematical Analysis and Applications	es
dc.publication.volumen	408	es
dc.publication.issue	2	es
dc.publication.initialPage	638	es
dc.publication.endPage	654	es
dc.identifier.idus	https://idus.us.es/xmlui/handle/11441/48490
dc.contributor.funder	Dirección General de Enseñanza Superior. España
dc.contributor.funder	Junta de Andalucía

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