Search results for "Intuitionistic fuzzy metric space"

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AN ADDENDUM TO: A COMMON FIXED POINT THEOREM IN INTUITIONISTIC FUZZY METRIC SPACE USING SUBCOMPATIBLE MAPS"

2012

The aim of this note is to point out a fallacy in the proof of Theorem 3.1 contained in the recent paper ( Int. J. Contemp. Math. Sci. 5 (2010), 2699-2707) proved in intuitionistic fuzzy metric spaces employing the newly introduced notion of sub-compatible pair of mappings wherein our claim is also substantiated with the aid of an appropriate example. We also rectify the erratic theorem in two ways.

Settore MAT/05 - Analisi MatematicaIntuitionistic fuzzy metric space Compatible maps subcompatible maps subsequential continuity reciprocal continuity.
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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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