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dc.contributor.author | Gregori Gregori, Valentín | es_ES |
dc.contributor.author | Miñana, Juan-José | es_ES |
dc.date.accessioned | 2022-10-13T18:07:36Z | |
dc.date.available | 2022-10-13T18:07:36Z | |
dc.date.issued | 2021-07 | es_ES |
dc.identifier.issn | 1578-7303 | es_ES |
dc.identifier.uri | http://hdl.handle.net/10251/187700 | |
dc.description.abstract | [EN] Fixed point theory in fuzzy metric spaces has grown to become an intensive field of research. The difficulty of demonstrating a fixed point theorem in such kind of spaces makes the authors to demand extra conditions on the space other than completeness. In this paper, we introduce a new version of the celebrated Banach contracion principle in the context of fuzzy metric spaces. It is defined by means of t-conorms and constitutes an adaptation to the fuzzy context of the mentioned contracion principle more "faithful" than the ones already defined in the literature. In addition, such a notion allows us to prove a fixed point theorem without requiring any additional condition on the space apart from completeness. Our main result (Theorem 1) generalizes another one proved by Castro-Company and Tirado. Besides, the celebrated Banach fixed point theorem is obtained as a corollary of Theorem 1. | es_ES |
dc.description.sponsorship | Juan-José Miñana acknowledges financial support from FEDER/Ministerio de Ciencia, Innovación y Universidades-Agencia Estatal de Investigación/¿Proyecto PGC2018-095709-B-C21. This work is also partially supported by Programa Operatiu FEDER 2014-2020 de les Illes Balears, by project PROCOE/4/2017 (Direcció General d¿Innovació i Recerca, Govern de les Illes Balears) and by projects ROBINS and BUGWRIGHT2. These two latest projects have received funding from the European Union¿s Horizon 2020 research and innovation programme under grant agreements No 779776 and No 871260, respectively. This publication reflects only the authors views and the European Union is not liable for any use that may be made of the information contained therein. Valentín Gregori acknowledges the support of Generalitat Valenciana under grant AICO-2020-136. | es_ES |
dc.language | Inglés | es_ES |
dc.publisher | Springer-Verlag | es_ES |
dc.relation.ispartof | Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas | es_ES |
dc.rights | Reserva de todos los derechos | es_ES |
dc.subject | Fuzzy metric space | es_ES |
dc.subject | Fuzzy contractive mapping | es_ES |
dc.subject | Archimedean continuous t-conorm | es_ES |
dc.subject | Fixed point | es_ES |
dc.subject | K-contraction | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | A Banach contraction principle in fuzzy metric spaces defined by means of t-conorms | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.1007/s13398-021-01068-6 | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-095709-B-C21/ES/METRICAS DIFUSAS Y OPERADORES DE INDISTINGUIBILIDAD: APLICACIONES EN ROBOTICA/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/CAIB//PROCOE%2F4%2F2017/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/EC/H2020/779776/EU | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/GVA//AICO-2020-136/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/EC/H2020/871260/EU | 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 | Gregori Gregori, V.; Miñana, J. (2021). A Banach contraction principle in fuzzy metric spaces defined by means of t-conorms. Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas. 115(3):1-11. https://doi.org/10.1007/s13398-021-01068-6 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | https://doi.org/10.1007/s13398-021-01068-6 | es_ES |
dc.description.upvformatpinicio | 1 | es_ES |
dc.description.upvformatpfin | 11 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 115 | es_ES |
dc.description.issue | 3 | es_ES |
dc.relation.pasarela | S\456851 | es_ES |
dc.contributor.funder | European Commission | es_ES |
dc.contributor.funder | Generalitat Valenciana | es_ES |
dc.contributor.funder | Govern de les Illes Balears | es_ES |
dc.contributor.funder | Agencia Estatal de Investigación | es_ES |
dc.contributor.funder | European Regional Development Fund | es_ES |
dc.description.references | Castro-Company, F., Romaguera, S., Tirado, P.: On the construction of metrics from fuzzy metrics and its application to the fixed point theory of multivalued mappings. Fixed Point Theory Appl. 2015(226), 1–9 (2015) | es_ES |
dc.description.references | Castro-Company, F., Tirado, P.: On Yager and Hamacher $$t$$-norms and fuzzy metric spaces. Int. J. Intell. Syst. 29, 1173–1180 (2014) | es_ES |
dc.description.references | George, A., Veeramani, P.: On some results in fuzzy metric spaces. Fuzzy Sets Syst. 64, 395–399 (1994) | es_ES |
dc.description.references | George, A., Veeramani, P.: Some theorems in fuzzy metric spaces. J. Fuzzy Math. 3, 933–940 (1995) | es_ES |
dc.description.references | George, A., Veeramani, P.: On some results of analysis in fuzzy metric spaces. Fuzzy Sets Syst. 90(3), 365–368 (1995) | es_ES |
dc.description.references | Gopal, D., Imdad, M., Vetro, C., Hasan, M.: Fixed point theory for cyclic weak $$\phi $$-contraction in fuzzy metric spaces. J. Nonlinear Anal. Appl. 2012, 1–11 (2012) | es_ES |
dc.description.references | Gopal, D., Vetro, C.: Some new fixed point theorems in fuzzy metric spaces. Iran. J. Fuzzy Syst. 11(3), 95–107 (2014) | es_ES |
dc.description.references | Grabiec, M.: Fixed points in fuzzy metric spaces. Fuzzy Sets Syst. 27, 385–389 (1989) | es_ES |
dc.description.references | Gregori, V., Miñana, J.J., Morillas, S.: On completable fuzzy metric spaces. Fuzzy Sets Syst. 267, 133–139 (2015) | es_ES |
dc.description.references | Gregori, V., Miñana, J.J., Morillas, S., Sapena, A.: Cauchyness and convergence in fuzzy metric spaces. RACSAM 111, 25–37 (2017) | es_ES |
dc.description.references | Gregori, V., Miñana, J.J., Roig, B., Sapena, A.: A characterization of strong completeness in fuzzy metric spaces. Mathematics 8(6), 861 (2020) | es_ES |
dc.description.references | Gregori, V., Romaguera, S.: Some properties of fuzzy metric spaces. Fuzzy Sets Syst. 115, 485–489 (2000) | es_ES |
dc.description.references | Gregori, V., Romaguera, S.: On completion of fuzzy metric spaces. Fuzzy Sets Syst. 130(3), 399–404 (2002) | es_ES |
dc.description.references | Gregori, V., Romaguera, S.: Characterizing completable fuzzy metric spaces. Fuzzy Sets Syst. 144(3), 411–420 (2004) | es_ES |
dc.description.references | Gregori, V., Sapena, A.: On fixed-point theorems in fuzzy metric spaces. Fuzzy Sets Syst. 125(2), 245–252 (2002) | es_ES |
dc.description.references | Hamidi, M., Jahanpanah, S., Radfar, A.: Extended graphs based on KM-fuzzy metric spaces. Iran. J. Fuzzy Syst. 17(5), 81–95 (2020) | es_ES |
dc.description.references | Klement, E.P., Mesiar, R., Pap, E.: Triangular Norms. Springer, Netherlands (2000) | es_ES |
dc.description.references | Kramosil, I., Michalek, J.: Fuzzy metrics and statistical metric spaces. Kybernetika 11, 326–334 (1975) | es_ES |
dc.description.references | Menger, K.: Statistical metrics. Proc. Natl. Acad. Sci. USA 28, 535–537 (1942) | es_ES |
dc.description.references | Mihet, D.: A Banach contraction theorem in fuzzy metric spaces. Fuzzy Sets Syst. 144, 431–439 (2004) | es_ES |
dc.description.references | Mihet, D.: On fuzzy contractive mappings in fuzzy metric spaces. Fuzzy Sets Syst. 158, 915–921 (2007) | es_ES |
dc.description.references | Pedraza, T., Rodríguez-López, J., Valero, Ó.: Aggregation of fuzzy quasi-metrics. Inf. Sci. (2020). https://doi.org/10.1016/j.ins.2020.08.045 | es_ES |
dc.description.references | Schweizer, B., Sklar, A.: Statistical metric spaces. Pac. J. Math. 10(1), 314–334 (1960) | es_ES |
dc.description.references | Schweizer, B., Sklar, A.: Probabilistic Metric Spaces. In: North Holland Series in Probability and Applied Mathematics, New York, Amsterdam, Oxford (1983) | es_ES |
dc.description.references | Schweizer, B., Sklar, A., Throp, O.: The metrization of statistical metric spaces. Pac. J. Math. 10(2), 673–676 (1960) | es_ES |
dc.description.references | Shukla, S., Gopal, D., Sintunavarat, W.: A new class of fuzzy contractive mappings and fixed point theorems. Fuzzy Sets Syst. 350, 85–94 (2018) | es_ES |
dc.description.references | Tirado, P.: Contraction mappings in fuzzy quasi-metric spaces and $$[0,1]$$-fuzzy posets. Fixed Point Theory 13(1), 273–283 (2012) | es_ES |
dc.description.references | Xiao, J.Z., Zhu, X.H., Zhou, H.: On the topological structure of $$KM$$-fuzzy metric spaces and normed spaces. IEEE Trans. Fuzzy Syst. 28(8), 1575–1584 (2020) | es_ES |
dc.description.references | Zheng, D., Wang, P.: Meir-Keeler theorems in fuzzy metric spaces. Fuzzy Sets Syst. 370, 120–128 (2019) | es_ES |