dc.creator | Piatek, Bozena | es |
dc.creator | Espínola García, Rafael | es |
dc.date.accessioned | 2016-07-01T10:19:23Z | |
dc.date.available | 2016-07-01T10:19:23Z | |
dc.date.issued | 2014-01 | |
dc.identifier.citation | Piatek, B. y Espínola García, R. (2014). Diversities, hyperconvexity and fixed points. Nonlinear Analysis: Theory, Methods & Applications, 95, 229-245. | |
dc.identifier.issn | 0362-546X | es |
dc.identifier.uri | http://hdl.handle.net/11441/43016 | |
dc.description.abstract | Diversities have been recently introduced as a generalization of metrics for which a rich tight span theory could be stated. In this work we take up a number of questions about hyperconvexity, diversities and fixed points of nonexpansive mappings. Most of these questions are motivated by the study of the connection between a hyperconvex diversity and its induced metric
space for which we provide some answers. Examples are given, for instance, showing that such a metric space need not be hyperconvex but still we prove, as our main result, that they enjoy the fixed point property for nonexpansive mappings provided the diversity is bounded and that this
boundedness condition cannot be transferred from the diversity to the induced metric space. | es |
dc.description.sponsorship | Ministerio de Ciencia e Innovación | 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 | Nonlinear Analysis: Theory, Methods & Applications, 95, 229-245. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | diversities | es |
dc.subject | diversity tight spans | es |
dc.subject | fixed points | es |
dc.subject | hyperconvex metric space | es |
dc.subject | metric tight spans | es |
dc.subject | nonexpansive mappings | es |
dc.subject | phylogenetic | es |
dc.title | Diversities, hyperconvexity and fixed points | 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 | MTM2012-34847C02-01 | es |
dc.relation.projectID | FQM-127 | es |
dc.identifier.doi | http://dx.doi.org/10.1016/j.na.2013.09.005 | es |
dc.contributor.group | Universidad de Sevilla. FQM127: Análisis Funcional no Lineal | es |
idus.format.extent | 22 p. | es |
dc.journaltitle | Nonlinear Analysis: Theory, Methods & Applications | es |
dc.publication.volumen | 95 | es |
dc.publication.initialPage | 229 | es |
dc.publication.endPage | 245 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/43016 | |
dc.contributor.funder | Ministerio de Ciencia e Innovación (MICIN). España | |
dc.contributor.funder | Junta de Andalucía | |