Contraction mappings in fuzzy quasi-metric spaces and [0,1]-fuzzy posets
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| dc.contributor.author | Tirado Peláez, Pedro
|
es_ES |
| dc.date.accessioned | 2015-11-02T15:39:14Z | |
| dc.date.available | 2015-11-02T15:39:14Z | |
| dc.date.issued | 2012 | |
| dc.identifier.issn | 1583-5022 | |
| dc.identifier.uri | http://hdl.handle.net/10251/56871 | |
| dc.description.abstract | [EN] It is well known that each bounded ultraquasi-metric on a set induces, in a natural way, an [0,1]-fuzzy poset. On the other hand, each [0,1]-fuzzy poset can be seen as a stationary fuzzy ultraquasi-metric space for the continuous t-norm Min. By extending this construction to any continuous t-norm, a stationary fuzzy quasi-metric space is obtained. Motivated by these facts, we present several contraction principles on fuzzy quasi-metric spaces that are applied to the class of spaces described above. Some illustrative examples are also given. Finally, we use our approach to deduce in an easy fashion the existence and uniqueness of solution for the recurrence equations typically associated to the analysis of Probabilistic Divide and Conquer Algorithms. | es_ES |
| dc.description.sponsorship | The author thanks the support of the Spanish Ministry of Science and Innovation, grand MTM2009-12872-C02-01. The author also thanks the referees because their suggestions and remarks have allowed to improve the first version of this paper. | |
| dc.language | Inglés | es_ES |
| dc.publisher | "Babeş-Bolyai" University of Cluj-Napoca | es_ES |
| dc.relation.ispartof | Fixed Point Theory | es_ES |
| dc.rights | Reserva de todos los derechos | es_ES |
| dc.subject | [0,1]-fuzzy poset | es_ES |
| dc.subject | Contraction mapping | es_ES |
| dc.subject | Fixed point | es_ES |
| dc.subject | Fuzzy quasi-metric | es_ES |
| dc.subject | Recursive equation | es_ES |
| dc.subject.classification | MATEMATICA APLICADA | es_ES |
| dc.title | Contraction mappings in fuzzy quasi-metric spaces and [0,1]-fuzzy posets | es_ES |
| dc.type | Artículo | es_ES |
| dc.relation.projectID | info:eu-repo/grantAgreement/MICINN//MTM2009-12872-C02-01/ES/Construccion De Casi-Metricas Fuzzy, De Distancias De Complejidad Y De Dominios Cuantitativos. Aplicaciones/ | es_ES |
| dc.rights.accessRights | Abierto | es_ES |
| dc.contributor.affiliation | Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada | es_ES |
| dc.description.bibliographicCitation | Tirado Peláez, P. (2012). Contraction mappings in fuzzy quasi-metric spaces and [0,1]-fuzzy posets. Fixed Point Theory. 13(1):273-283. http://hdl.handle.net/10251/56871 | es_ES |
| dc.description.accrualMethod | S | es_ES |
| dc.relation.publisherversion | http://www.math.ubbcluj.ro/~nodeacj/published_volumes.htm | es_ES |
| dc.description.upvformatpinicio | 273 | es_ES |
| dc.description.upvformatpfin | 283 | es_ES |
| dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
| dc.description.volume | 13 | es_ES |
| dc.description.issue | 1 | es_ES |
| dc.relation.senia | 232783 | es_ES |
| dc.contributor.funder | Ministerio de Ciencia e Innovación |
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