Search results for "modular metric"

showing 2 items of 2 documents

From fuzzy metric spaces to modular metric spaces: a fixed point approach

2017

We propose an intuitive theorem which uses some concepts of auxiliary functions for establishing existence and uniqueness of the fixed point of a self-mapping. First we work in the setting of fuzzy metric spaces in the sense of George and Veeramani, then we deduce some consequences in modular metric spaces. Finally, a sample homotopy result is derived making use of the main theorem.

Discrete mathematics021103 operations researchAlgebra and Number TheoryInjective metric space0211 other engineering and technologiesT-norm02 engineering and technologyEquivalence of metrics01 natural sciencesIntrinsic metricConvex metric space010101 applied mathematicsMetric spaceFixed point fuzzy metric space modular metric spaceSettore MAT/05 - Analisi MatematicaMetric (mathematics)Metric mapSettore MAT/03 - Geometria0101 mathematicsAnalysisMathematicsThe Journal of Nonlinear Sciences and Applications
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On t-Conorm Based Fuzzy (Pseudo)metrics

2020

We present an alternative approach to the concept of a fuzzy (pseudo)metric using t-conorms instead of t-norms and call them t-conorm based fuzzy (pseudo)metrics or just CB-fuzzy (pseudo)metrics. We develop the basics of the theory of CB-fuzzy (pseudo)metrics and compare them with “classic” fuzzy (pseudo)metrics. A method for construction CB-fuzzy (pseudo)metrics from ordinary metrics is elaborated and topology induced by CB-fuzzy (pseudo)metrics is studied. We establish interrelations between CB-fuzzy metrics and modulars, and in the process of this study, a particular role of Hamacher t-(co)norm in the theory of (CB)-fuzzy metrics is revealed. Finally, an intuitionistic version of a CB-fu…

Theoretical computer scienceLogicComputer scienceMathematics::General MathematicsCB-fuzzy (pseudo)metric02 engineering and technology01 natural sciencesFuzzy logic0202 electrical engineering electronic engineering information engineeringCB-fuzzy (pseudo)metric; archimedian t-(co)norms; hamacher t-(co)norm; modular; modular metric; intuinionistic fuzzy metricsmodular0101 mathematicsMathematical PhysicsAlgebra and Number Theoryintuinionistic fuzzy metricslcsh:Mathematicslcsh:QA1-939010101 applied mathematicsNorm (mathematics)hamacher t-(co)normmodular metric020201 artificial intelligence & image processingGeometry and TopologyComputingMethodologies_GENERALarchimedian t-(co)normsAnalysisAxioms
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