dc.creator | Domínguez Benavides, Tomás | es |
dc.creator | Lorenzo Ramírez, Josefa | es |
dc.date.accessioned | 2016-09-22T11:29:49Z | |
dc.date.available | 2016-09-22T11:29:49Z | |
dc.date.issued | 2001 | |
dc.identifier.citation | Domínguez Benavides, T. y Lorenzo Ramírez, J. (2001). Structure of the fixed point set and common fixed points of asymptotically nonexpansive mappings. Proceedings of the American Mathematical Society, 129 (12), 3549-3557. | |
dc.identifier.issn | 0002-9939 | es |
dc.identifier.issn | 1088-6826 | es |
dc.identifier.uri | http://hdl.handle.net/11441/45286 | |
dc.description.abstract | Let X be a Banach space, C a weakly compact convex subset of X and
T : C → C an asymptotically nonexpansive mapping. Under the usual assumptions on X which assure the existence of fixed point for T, we prove that the set of fixed points is a nonexpansive retract of C. We use this result to prove that all known theorems about existence of fixed point for asymptotically nonexpansive mappings can be extended to obtain a common fixed point for a commuting family of mappings. We also derive some results about convergence of iterates. | es |
dc.description.sponsorship | Dirección General de Investigación Científica y Técnica | es |
dc.description.sponsorship | Junta de Andalucía | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | American Mathematical Society | es |
dc.relation.ispartof | Proceedings of the American Mathematical Society, 129 (12), 3549-3557. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Nonexpansive mapping | es |
dc.subject | Asymptotically nonexpansive mapping | es |
dc.subject | Retraction | es |
dc.subject | Common fixed points | es |
dc.subject | Convergence of iterates | es |
dc.title | Structure of the fixed point set and common fixed points of asymptotically nonexpansive mappings | es |
dc.type | info:eu-repo/semantics/article | es |
dc.type.version | info:eu-repo/semantics/acceptedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Análisis Matemático | es |
dc.relation.projectID | PB 96-1338-C01-C02 | es |
dc.relation.projectID | FQM 0127 | es |
dc.relation.publisherversion | http://www.ams.org/journals/proc/2001-129-12/S0002-9939-01-06141-X/S0002-9939-01-06141-X.pdf | es |
dc.contributor.group | Universidad de Sevilla. FQM127: Análisis Funcional no Lineal | es |
idus.format.extent | 10 p. | es |
dc.journaltitle | Proceedings of the American Mathematical Society | es |
dc.publication.volumen | 129 | es |
dc.publication.issue | 12 | es |
dc.publication.initialPage | 3549 | es |
dc.publication.endPage | 3557 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/45286 | |
dc.contributor.funder | Dirección General de Investigación Científica y Técnica (DGICYT). España | |
dc.contributor.funder | Junta de Andalucía | |