dc.creator | Espínola García, Rafael | es |
dc.creator | Nicolae, Adriana | es |
dc.date.accessioned | 2016-09-07T11:33:10Z | |
dc.date.available | 2016-09-07T11:33:10Z | |
dc.date.issued | 2015-09 | |
dc.identifier.citation | Espínola García, R. y Nicolae, A. (2015). Continuous selections of Lipschitz extensions in metric spaces. Revista Matemática Complutense, 28 (3), 741-759. | |
dc.identifier.issn | 1139-1138 | es |
dc.identifier.issn | 1988-2807 | es |
dc.identifier.uri | http://hdl.handle.net/11441/44795 | |
dc.description.abstract | This paper deals with the study of parameter dependence of extensions of Lipschitz mappings from the point of view of continuity. We show that if assuming appropriate curvature bounds for the spaces, the multivalued extension operators that assign to every nonexpansive (resp. Lipschitz) mapping all its nonexpansive extensions (resp. Lipschitz extensions with the same Lipschitz constant) are lower semi-continuous and admit continuous selections. Moreover, we prove that Lipschitz mappings can be extended continuously even when imposing the condition that the image of the extension belongs to the closure of the convex hull of the image of the original mapping. When the target space is hyperconvex one can obtain in fact nonexpansivity. | es |
dc.description.sponsorship | Dirección General de Enseñanza Superior | es |
dc.description.sponsorship | Junta de Andalucía | es |
dc.description.sponsorship | Romanian Ministry of Education | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Springer | es |
dc.relation.ispartof | Revista Matemática Complutense, 28 (3), 741-759. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Lipschitz mapping | es |
dc.subject | Extension operator | es |
dc.subject | Continuous selection | es |
dc.subject | Ggeodesic space of bounded curvature | es |
dc.subject | Hyperconvexity | es |
dc.title | Continuous selections of Lipschitz extensions in metric 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.projectID | PN-II-RU-PD-2012-3-0152 | es |
dc.relation.publisherversion | http://dx.doi.org/10.1007/s13163-015-0171-0 | es |
dc.identifier.doi | 10.1007/s13163-015-0171-0 | es |
dc.contributor.group | Universidad de Sevilla. FQM127: Análisis Funcional no Lineal | es |
idus.format.extent | 14 p. | es |
dc.journaltitle | Revista Matemática Complutense | es |
dc.publication.volumen | 28 | es |
dc.publication.issue | 3 | es |
dc.publication.initialPage | 741 | es |
dc.publication.endPage | 759 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/44795 | |