Common fixed point theorems in \(\mathcal L\)-fuzzy metric spaces
type: Item
instance of: scholarly article
title: Common fixed point theorems in \(\mathcal L\)-fuzzy metric spaces
zbMATH Open document ID: 1106.54016
author: Yeol Je Cho
author: Donal O'Regan
author: Reza Saadati
author: Hojatollah Adibi
published in: Applied Mathematics and Computation
publication date: 2007-01-09T00:00:00Z
review text: In a fuzzy metric space the authors introduce the concept of compatible mappings of type (P), which is equivalent, under suitable conditions, to the concept of compatible mappings and compatible mappings of type (A). They prove a coincidence theorem and a common fixed point theorem for two pairs of compatible mappings of type (P). Related results can be found, for instance, in the papers of \textit{J. X. Fang} [Fuzzy Sets Syst. 46, No. 1, 107--113 (1992; Zbl 0766.54045)] and \textit{A. George} and \textit{P. Veeramani} [Fuzzy Sets Syst. 64, No. 3, 395--399 (1994; Zbl 0843.54014)].
reviewed by: Salvatore Sessa
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 54A40
zbMATH DE Number: 5083736
zbMATH Keywords: fuzzy metric space
zbMATH Keywords: compatible mappings
MaRDI profile type: Publication
full work available at URL: j.amc.2006.04.045
OpenAlex ID: W90873619
cites work: Intuitionistic fuzzy sets
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DOI: 10.1016/J.AMC.2006.04.045
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description: scientific article; zbMATH DE number 5083736