Fixed points in fuzzy metric spaces
type: Item
instance of: scholarly article
title: Fixed points in fuzzy metric spaces
zbMATH Open document ID: 0664.54032
DOI: 10.1016/0165-0114(88)90064-4
author: Mariusz Grabiec
published in: Fuzzy Sets and Systems
publication date: 1988-01-01T00:00:00Z
review text: \textit{I. Kramosil} and \textit{J. Michálek} [Kybernetika 11, 336-344 (1975; Zbl 0319.54002)] extended the concept of probabilistic metric spaces to fuzzy metric spaces. In this context, the author gives fuzzy versions of the Banach contraction principle and of the well-known fixed point theorem of \textit{M. Edelstein} [J. Lond. Math. Soc. 37, 74-79 (1962; Zbl 0113.165)].
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 54A40
zbMATH DE Number: 4086535
zbMATH Keywords: fuzzy versions of the Banach contraction principle
reviewed by: Salvatore Sessa
MaRDI profile type: Publication
full work available at URL: 0165-0114(88)90064-4
OpenAlex ID: W2074773690
cites work: Fuzzy pseudo-metric spaces
cites work: On Fixed and Periodic Points Under Contractive Mappings
cites work: Metric spaces in fuzzy set theory
cites work: On fuzzy metric spaces
cites work: Q4081991
cites work: Q4179542
cites work: Statistical metric spaces
description: scientific article; zbMATH DE number 4086535