On a class of completable fuzzy metric spaces

DOI10.1016/j.fss.2010.03.013zbMath1201.54011OpenAlexW2036178272MaRDI QIDQ983090

Samuel Morillas, Almanzor Sapena, Valentín Gregori

Publication date: 28 July 2010

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.fss.2010.03.013

zbMATH Keywords

fuzzy metric spaceMenger spacestationary fuzzy metricstrong fuzzy metricfuzzy metric completionfuzzy ultrametricintegral \(t\)-normprincipal fuzzy metric

Mathematics Subject Classification ID

Complete metric spaces (54E50) Fuzzy topology (54A40) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35)

Related Items (36)

Characterizing a class of completable fuzzy metric spaces ⋮ A note on fuzzy contractive mappings in fuzzy metric spaces ⋮ On \(\phi\)-contractions in partially ordered fuzzy metric spaces ⋮ An altering distance function in fuzzy metric fixed point theorems ⋮ Curve arclength in fuzzy metric spaces ⋮ On topological equivalence of R-uniformly continuous fuzzy metric spaces ⋮ \(L\)-valued bornologies on powersets ⋮ Examples of non-strong fuzzy metrics ⋮ LG-FUZZY PARTITION OF UNITY ⋮ On generalizations of fuzzy metric spaces ⋮ A technique for fuzzifying metric spaces via metric preserving mappings ⋮ Fixed point results via altering distance functions in relational fuzzy metric spaces with application ⋮ On completeness and compactness in fuzzy metric spaces ⋮ Extension of a class of decomposable measures using fuzzy pseudometrics ⋮ Fuzzy quasi-metrics for the Sorgenfrey line ⋮ Answers to some open questions on fuzzy \(\psi\)-contractions in fuzzy metric spaces ⋮ Some results for common fixed point on $\varphi$-contractions in k-partially ordered fuzzy metric space ⋮ From fuzzy metric spaces to modular metric spaces: a fixed point approach ⋮ Cauchyness and convergence in fuzzy metric spaces ⋮ Fuzzifying topology induced by a strong fuzzy metric ⋮ Fuzzy Meir-Keeler's contraction and characterization ⋮ Completable fuzzy metric spaces ⋮ The maximal distance between imprecise point objects ⋮ A representation theorem for fuzzy pseudometrics ⋮ Some questions in fuzzy metric spaces ⋮ On indistinguishability operators, fuzzy metrics and modular metrics ⋮ Common fixed point theorems in fuzzy metric spaces using the CLRg property ⋮ Gromov-Hausdorff convergence of non-Archimedean fuzzy metric spaces ⋮ On completable fuzzy metric spaces ⋮ McShane-Whitney extensions for fuzzy Lipschitz maps ⋮ Contributions to Fixed Point Theory of Fuzzy Contractive Mappings ⋮ Multivalued generalizations of fixed point results in fuzzy metric spaces ⋮ Remarks to "on strong intuitionistic fuzzy metrics" ⋮ A construction of a fuzzy topology from a strong fuzzy metric ⋮ Construction of fuzzy topology by using fuzzy metric ⋮ On decomposable measures constructed by using stationary fuzzy pseudo-ultrametrics

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Examples of fuzzy metrics and applications
• Statistical metric spaces
• \(T\)-equalities as fuzzy non-archimedean metrics and \(\delta ^{+}\)-fuzzy equivalences of type \(S\)
• On fuzzy contractive mappings in fuzzy metric spaces
• Quasi-uniform isomorphisms in fuzzy quasi-metric spaces, bicompletion and D-completion
• The Banach fixed point theorem in fuzzy quasi-metric spaces with application to the domain of words
• Local self-adaptive fuzzy filter for impulsive noise removal in color images
• On convergence in fuzzy metric spaces
• Intuitionistic fuzzy sets
• Fixed points in fuzzy metric spaces
• On some results of analysis for fuzzy metric spaces
• Some properties of fuzzy metric spaces
• Metrics and \(\mathcal T\)-equalities
• Intuitionistic fuzzy metric spaces
• On completion of fuzzy metric spaces
• Fixed point theorems and Cauchy sequences in fuzzy metric spaces
• Characterizing completable fuzzy metric spaces
• A Banach contraction theorem in fuzzy metric spaces
• The Hausdorff fuzzy metric on compact sets
• A characterization of bicompletable fuzzy quasi-metric spaces
• A note on intuitionistic fuzzy metric spaces
• A contribution to the study of fuzzy metric spaces
• Fuzzy quasi-metric spaces
• Fuzzy sets
• Complete probabilistic metric spaces
• On the completion of probabilistic metric spaces
• Statistical Metrics
• On some results in fuzzy metric spaces

This page was built for publication: On a class of completable fuzzy metric spaces