Fixed point results for generalized fuzzy contractive mappings in fuzzy metric spaces with application in integral equations
type: Item
instance of: scholarly article
title: Fixed point results for generalized fuzzy contractive mappings in fuzzy metric spaces with application in integral equations
zbMATH Open document ID: 1477.54109
DOI: 10.1155/2021/9931066
author: Babak Mohammadi
author: Azhar Hussain
author: Naeem Saleem
author: Rogheieh Jalal Shahkoohi
author: Vahid Parvaneh
published in: Journal of Mathematics
publication date: 2021-07-07T00:00:00Z
review text: Summary: In this paper, we introduce generalized \(\alpha\)-\(\eta\)-fuzzy contractive mappings and generalized \(\beta\)-\(\zeta\)-fuzzy contractive mappings and prove existence of fixed point for such mappings. Our results generalize and improve the recent work of \textit{D. Gopal} and \textit{C. Vetro} [Iran. J. Fuzzy Syst. 11, No. 3, 95--107 (2014; Zbl 1338.54167)]. Some equivalent conditions of our results are presented. Also, an example is given to support our new results.
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 54A40
Mathematics Subject Classification ID: 54E40
zbMATH DE Number: 7369055
zbMATH Keywords: generalized \(\alpha\)-\(\eta\)-fuzzy contractive mappings
zbMATH Keywords: generalized \(\beta\)-\(\zeta\)-fuzzy contractive mappings
zbMATH Keywords: existence of fixed point
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/9931066
OpenAlex ID: W3160888536
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description: scientific article; zbMATH DE number 7369055