On completion of fuzzy quasi-metric spaces
type: Item
instance of: scholarly article
title: On completion of fuzzy quasi-metric spaces
zbMATH Open document ID: 1087.54002
author: Valentín Gregori
author: Juan A. Mascarell
author: Almanzor Sapena
published in: Topology and its Applications
publication date: 2006-03-20T00:00:00Z
review text: A sequence \(\{x_n\}\) in a fuzzy quasi-metric space \((X,M)\) is called a Cauchy sequence if there exists a sequence \(\{y_m\}\) such that \(\lim_{m,n}M(y_m,x_n,t)=1\) for all \(t>0\). By means of the above notion, the authors introduce the completion of a fuzzy quasi-metric space, and investigate its properties.
reviewed by: Fu-Gui Shi
Mathematics Subject Classification ID: 54A40
Mathematics Subject Classification ID: 54A20
Mathematics Subject Classification ID: 54D35
zbMATH DE Number: 5013561
zbMATH Keywords: fuzzy quasi-metric space
zbMATH Keywords: Cauchy sequence
zbMATH Keywords: completion of a quasi-metric space
MaRDI profile type: Publication
full work available at URL: j.topol.2005.01.018
OpenAlex ID: W2048791449
cites work: On completeness in quasi-metric spaces
cites work: C-complete quasi-uniform spaces
cites work: On some results in fuzzy metric spaces
cites work: Some properties of fuzzy metric spaces
cites work: On completion of fuzzy metric spaces
cites work: Characterizing completable fuzzy metric spaces
cites work: Fuzzy quasi-metric spaces
cites work: Cauchy sequences in quasi-pseudo-metric spaces
cites work: A contribution to the study of fuzzy metric spaces
cites work: Statistical metric spaces
DOI: 10.1016/J.TOPOL.2005.01.018
description: scientific article; zbMATH DE number 5013561