dc.creator | Ariza Ruiz, David | es |
dc.creator | Briseid, Eyvind Martol | es |
dc.creator | Jiménez Melado, Antonio | es |
dc.creator | López Acedo, Genaro | es |
dc.date.accessioned | 2016-10-05T11:30:39Z | |
dc.date.available | 2016-10-05T11:30:39Z | |
dc.date.issued | 2013 | |
dc.identifier.citation | Ariza Ruiz, D., Briseid, E.M., Jiménez Melado, A. y López Acedo, G. (2013). Rate of convergence under weak contractiveness conditions. Fixed Point Theory, 14 (1), 11-28. | |
dc.identifier.issn | 1583-5022 | es |
dc.identifier.issn | 2066-9208 | es |
dc.identifier.uri | http://hdl.handle.net/11441/47033 | |
dc.description.abstract | We introduce a new class of selfmaps T of metric spaces, which generalizes the weakly Zamfirescu maps (and therefore weakly contraction maps, weakly Kannan maps, weakly Chatterjea maps and quasi-contraction maps with constant h < 1 / 2). We give an explicit Cauchy rate for the Picard iteration sequences {T nx0}n∈N for this type of maps, and show that if the space is complete, then all Picard iteration sequences converge to the
unique fixed point of T. Our Cauchy rate depends on the space (X, d), the map T, and the starting point x0 ∈ X only through an upper bound b ≥ d(x0, T x0) and certain moduli θ, µ for the map, but is otherwise fully uniform. As a step on the way to proving our fixed point result we also calculate a modulus of uniqueness for this type of maps. | es |
dc.description.sponsorship | Junta de Andalucía | es |
dc.description.sponsorship | Research Council of Norway | es |
dc.description.sponsorship | Dirección General de Enseñanza Superior | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Casa Cartii de Stiinta | es |
dc.relation.ispartof | Fixed Point Theory, 14 (1), 11-28. | es |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Cauchy rate | es |
dc.subject | Wweakly Zamfirescu maps | es |
dc.subject | Weakly contractive maps | es |
dc.subject | Quasi-contraction maps | es |
dc.subject | Modulus of uniqueness | es |
dc.subject | Rate of convergence | es |
dc.subject | Fixed points | es |
dc.title | Rate of convergence under weak contractiveness conditions | 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 | FQM-3543 | es |
dc.relation.projectID | 204762/V30 | es |
dc.relation.projectID | MTM2007-60854 | es |
dc.relation.projectID | FQM-210 | es |
dc.relation.projectID | FQM-1504 | es |
dc.relation.projectID | MTM2009-13997-C02-01 | es |
dc.relation.projectID | FQM-127 | es |
dc.contributor.group | Universidad de Sevilla. FQM127: Análisis Funcional no Lineal | es |
idus.format.extent | 23 p. | es |
dc.journaltitle | Fixed Point Theory | es |
dc.publication.volumen | 14 | es |
dc.publication.issue | 1 | es |
dc.publication.initialPage | 11 | es |
dc.publication.endPage | 28 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/47033 | |