Search results for "ψ-contractive mapping"

showing 2 items of 2 documents

Some new fixed point results in non-Archimedean fuzzy metric spaces

2013

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.

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.businessAnalysisNonlinear Analysis
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Further generalization of fixed point theorems in Menger PM-spaces

2015

In this work, we establish some fixed point theorems by revisiting the notion of ψ-contractive mapping in Menger PM-spaces. One of our results (namely, Theorem 2.3) may be viewed as a possible answer to the problem of existence of a fixed point for generalized type contractive mappings in M-complete Menger PM-spaces under arbitrary t-norm. Some examples are furnished to demonstrate the validity of the obtained results.

Discrete mathematicsGeneralizationApplied MathematicsFixed-point theoremType (model theory)Fixed pointMenger PM-spaceFixed-point propertyMenger's theoremfixed pointψ-contractive mappingDifferential geometrySettore MAT/05 - Analisi MatematicaGeometry and TopologyCoincidence pointMathematicsFixed Point Theory and Applications
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