6533b827fe1ef96bd1285b5b
RESEARCH PRODUCT
From fuzzy metric spaces to modular metric spaces: a fixed point approach
Calogero VetroFairouz TchierFrancesca Vetrosubject
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 mathematicsAnalysisMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-02-10 | The Journal of Nonlinear Sciences and Applications |