Gregori Gregori, V.; Miñana, J.; Sapena Piera, A. (2018). On Banach contraction principles in fuzzy metric spaces. Fixed Point Theory. 19(1):235-248. https://doi.org/10.24193/fpt-ro.2018.1.19
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/102264
Title:
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On Banach contraction principles in fuzzy metric spaces
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Author:
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Gregori Gregori, Valentín
Miñana, Juan-José
Sapena Piera, Almanzor
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UPV Unit:
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Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
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Issued date:
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Abstract:
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[EN] In this paper we discuss the concept of Cauchy sequence due to Grabiec, that we call G-Cauchy, in the context of fuzzy metric spaces. It leads to introduce and study a concept of weak $-completeness in fuzzy and ...[+]
[EN] In this paper we discuss the concept of Cauchy sequence due to Grabiec, that we call G-Cauchy, in the context of fuzzy metric spaces. It leads to introduce and study a concept of weak $-completeness in fuzzy and classical context. Then, we generalize the celebrated Grabiec's fuzzy Banach Contraction Principle. Also, we extend the Mihet's fixed point theorem given for weak B-contractive mappings.
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Subjects:
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Fixed point theorem
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fuzzy metric space
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G-Cauchy sequence
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Copyrigths:
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Reserva de todos los derechos
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Source:
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Fixed Point Theory. (issn:
1583-5022
)
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DOI:
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10.24193/fpt-ro.2018.1.19
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Publisher:
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Babes-Bolyai University
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Publisher version:
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http://doi.org/10.24193/fpt-ro.2018.1.19
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Project ID:
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info:eu-repo/grantAgreement/MINECO//MTM2015-64373-P/ES/HIPERESPACIOS, ESTRUCTURAS DIFUSAS Y ASIMETRICAS. APLICACIONES A CIENCIA DE LA COMPUTACION Y AL FILTRADO DE IMAGENES./
info:eu-repo/grantAgreement/MINECO//TEC2013-45492-R/ES/SINCRONIZACION HIBRIDA E INTER-DESTINATARIO (IDMS) PARA POSIBILITAR EXPERIENCIAS MULTIMEDIA ENRIQUECIDAS, PERSONALIZADAS, INMERSIVAS Y COMPARTIDAS/
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Thanks:
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Valent´ın Gregori acknowledges the support of Ministry of Economy and Competitiveness of Spain under grant MTM MTM2015-64373-P. Almanzor Sapena acknowledges the support of Ministry of Economy and Competitiveness of Spain ...[+]
Valent´ın Gregori acknowledges the support of Ministry of Economy and Competitiveness of Spain under grant MTM MTM2015-64373-P. Almanzor Sapena acknowledges the support of Ministry of Economy and Competitiveness of Spain under grant TEC2013-45492-R.
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Type:
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Artículo
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