On Banach contraction principles in fuzzy metric spaces
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https://riunet.upv.es/handle/10251/102264
Cita bibliográfica
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
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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 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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Fixed Point Theory issn: 1583-5022