Search results for "Generalized weak contraction"

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Common fixed point theorems for (ϕ, ψ)-weak contractions in fuzzy metric spaces

2010

Motivated by Rhoades (Nonlinear Anal., 47 (2001), 2683--2693), on the lines of Khan et al. (Bull. Aust. Math. Soc., 30 (1984), 1-9) employing the idea of altering distances, we extend the notion of (ϕ, ψ)-weak contraction to fuzzy metric spaces and utilize the same to prove common fixed point theorems for four mappings in fuzzy metric spaces.

Fuzzy metric spaceSettore MAT/05 - Analisi MatematicaGeneralized weak contractionWeakly compatible maps.Common fixed point
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(φ, ψ)-weak contractions in intuitionistic fuzzy metric spaces

2014

The purpose of this paper is to extend the notion of (phi,psi)-weak contraction to intuitionistic fuzzy metric spaces, by using an altering distance function. We obtain common fixed point results in intuitionistic fuzzy metric spaces, which generalize several known results from the literature.

Statistics and ProbabilityDiscrete mathematicsMathematics::General MathematicsInjective metric spaceGeneral EngineeringT-normEquivalence of metricsConvex metric spaceIntrinsic metricMetric spaceCommon fixed point fuzzy metric space generalized weak contraction intuitionistic fuzzy metric spaceSettore MAT/05 - Analisi MatematicaArtificial IntelligenceMetric (mathematics)Metric mapMathematicsJournal of Intelligent & Fuzzy Systems
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