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A characterization of Smyth complete quasi-metric spaces via Caristi's fixed point theorem

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A characterization of Smyth complete quasi-metric spaces via Caristi's fixed point theorem

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dc.contributor.author Romaguera Bonilla, Salvador es_ES
dc.contributor.author Tirado Peláez, Pedro es_ES
dc.date.accessioned 2016-11-29T10:05:18Z
dc.date.available 2016-11-29T10:05:18Z
dc.date.issued 2015-10
dc.identifier.issn 1687-1812
dc.identifier.uri http://hdl.handle.net/10251/74739
dc.description.abstract We obtain a quasi-metric generalization of Caristi's fixed point theorem for a kind of complete quasi-metric spaces. With the help of a suitable modification of its proof, we deduce a characterization of Smyth complete quasi-metric spaces which provides a quasi-metric generalization of the well-known characterization of metric completeness due to Kirk. Some illustrative examples are also given. As an application, we deduce a procedure which allows to easily show the existence of solution for the recurrence equation of certain algorithms. es_ES
dc.description.sponsorship The authors are grateful to the reviewers for several suggestions which have allowed to improve the first version of the paper. This research is supported by the Ministry of Economy and Competitiveness of Spain, Grant MTM2012-37894-C02-01. en_EN
dc.language Inglés es_ES
dc.publisher SPRINGER INTERNATIONAL PUBLISHING AG, GEWERBESTRASSE 11, CHAM, CH-6330, SWITZERLAND es_ES
dc.relation.ispartof Fixed Point Theory and Applications es_ES
dc.rights Reconocimiento (by) es_ES
dc.subject Fixed Point es_ES
dc.subject Quasi-metric es_ES
dc.subject Smyth complete es_ES
dc.subject Algorithm es_ES
dc.subject Recurrence equation es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title A characterization of Smyth complete quasi-metric spaces via Caristi's fixed point theorem es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1186/s13663-015-0431-1
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2012-37894-C02-01/ES/METODOS TOPOLOGICOS EN HIPERESPACIOS Y MULTIFUNCIONES CONTRACTIVAS. CASI-METRICAS Y DOMINIOS CUANTITATIVOS/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Escuela Técnica Superior de Ingenieros de Caminos, Canales y Puertos - Escola Tècnica Superior d'Enginyers de Camins, Canals i Ports es_ES
dc.description.bibliographicCitation Romaguera Bonilla, S.; Tirado Peláez, P. (2015). A characterization of Smyth complete quasi-metric spaces via Caristi's fixed point theorem. Fixed Point Theory and Applications. 2015:183. https://doi.org/10.1186/s13663-015-0431-1 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://fixedpointtheoryandapplications.springeropen.com/articles/10.1186/s13663-015-0431-1 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 2015:183 es_ES
dc.relation.senia 299803 es_ES
dc.contributor.funder Ministerio de Economía y Competitividad es_ES
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