Common fixed points of maps on fuzzy metric spaces
type: Item
instance of: scholarly article
title: Common fixed points of maps on fuzzy metric spaces
zbMATH Open document ID: 0798.54014
DOI: 10.1155/S0161171294000372
author: Nilima Sharma
author: S. N. Mishra
author: Shyam Lal Singh
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1994-11-10T00:00:00Z
full work available at URL: https://eudml.org/doc/46997
review text: In accordance to the approach of \textit{M. Grabiec} [Fuzzy Sets Systems 27, 385-389 (1988; Zbl 0664.54032)], the authors establish some common fixed point theorems in fuzzy metric spaces for compatible maps in the sense of Jungck. Reviewer's remark: the contractive conditions used involve a continuous triangular norm \(*\) such that \(t*t\geq t\), \(t\in [0,1]\). Since one always has \(t\geq t*t\) for any \(t\in [0,1]\), it seems that the norm \(*\) must be necessarily min.
Mathematics Subject Classification ID: 54A40
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 54E99
zbMATH DE Number: 569392
reviewed by: Salvatore Sessa
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 569392