dc.creator | Espínola García, Rafael | es |
dc.creator | Nicolae, Adriana | es |
dc.date.accessioned | 2016-07-22T11:20:05Z | |
dc.date.available | 2016-07-22T11:20:05Z | |
dc.date.issued | 2012-02 | |
dc.identifier.citation | Espínola García, R. y Nicolae, A. (2012). Mutually nearest and farthest points of sets and the Drop Theorem in geodesic spaces. Monatshefte für Mathematik, 165 (2), 173-197. | |
dc.identifier.issn | 0026-9255 | es |
dc.identifier.issn | 1436-5081 | es |
dc.identifier.uri | http://hdl.handle.net/11441/43923 | |
dc.description.abstract | Let A and X be nonempty, bounded and closed subsets of a geodesic metric space (E, d). The minimization (resp. maximization) problem denoted by min(A, X) (resp. max(A, X)) consists in finding (a0,x0)∈A×X(a0,x0)∈A×X such that d(a0,x0)=inf{d(a,x):a∈A,x∈X}d(a0,x0)=inf{d(a,x):a∈A,x∈X} (resp. d(a0,x0)=sup{d(a,x):a∈A,x∈X}d(a0,x0)=sup{d(a,x):a∈A,x∈X}). We give generic results on the well-posedness of these problems in different geodesic spaces and under different conditions considering the set A fixed. Besides, we analyze the situations when one set or both sets are compact and prove some specific results for CAT(0) spaces. We also prove a variant of the Drop Theorem in Busemann convex geodesic spaces and apply it to obtain an optimization result for convex functions. | es |
dc.description.sponsorship | Dirección General de Enseñanza Superior | es |
dc.description.sponsorship | Junta de Antalucía | es |
dc.description.sponsorship | The Sectoral Operational Programme Human Resources Development | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Springer | es |
dc.relation.ispartof | Monatshefte für Mathematik, 165 (2), 173-197. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Best approximation | es |
dc.subject | Minimization problem | es |
dc.subject | Maximization problem | es |
dc.subject | Well-posedness | es |
dc.subject | Geodesic space | es |
dc.subject | Drop Theorem | es |
dc.title | Mutually nearest and farthest points of sets and the Drop Theorem in geodesic 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 | 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://dx.doi.org/10.1007/s00605-010-0266-0 | es |
dc.identifier.doi | 10.1007/s00605-010-0266-0 | es |
dc.contributor.group | Universidad de Sevilla. FQM127: Análisis Funcional no Lineal | es |
idus.format.extent | 14 p. | es |
dc.journaltitle | Monatshefte für Mathematik | es |
dc.publication.volumen | 165 | es |
dc.publication.issue | 2 | es |
dc.publication.initialPage | 173 | es |
dc.publication.endPage | 197 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/43923 | |
dc.contributor.funder | Dirección General de Enseñanza Superior. España | |
dc.contributor.funder | Junta de Andalucía | |