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Some new fixed point results in non-Archimedean fuzzy metric spaces
Calogero VetroPeyman SalimiPasquale Vetrosubject
Class (set theory)Computer sciencebusiness.industryMathematics::General Mathematicsfuzzy α-φ-ψ-contractive mappingsApplied Mathematicsfuzzy (α β ϕ)-contractive mappingslcsh:QA299.6-433Usabilitylcsh:AnalysisFixed pointFuzzy logicFuzzy metric spacefuzzy α-β-contractive mappingsAlgebrafuzzy metric spacesSettore MAT/05 - Analisi Matematicanon-Archimedean fuzzy metric spacesFuzzy metric spaces non-Archimedean fuzzy metric spaces fuzzy $(\alpha\beta\varphi)$-contractive mappings fuzzy $\alpha$-$\phi$-$\psi$-contractive mappings fuzzy $\alpha$-$\beta$-contractive mappings.businessAnalysisdescription
In this paper, we introduce the notions of fuzzy $(\alpha,\beta,\varphi)$-contractive mapping, fuzzy $\alpha$-$\phi$-$\psi$-contractive mapping and fuzzy $\alpha$-$\beta$-contractive mapping and establish some results of fixed point for this class of mappings in the setting of non-Archimedean fuzzy metric spaces. The results presented in this paper generalize and extend some recent results in fuzzy metric spaces. Also, some examples are given to support the usability of our results.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-07-25 | Nonlinear Analysis |