Fixed point results via extended $\mathcal{FZ}$-simulation functions in fuzzy metric spaces
Abdelhamid Moussaoui, Nawab Hussain, Saïd Melliani, Hayel Nasr, Mohammad Imdad
Abstract
Abstract In this paper, we introduce a new class of control functions, namely extended $\mathcal{FZ}$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>FZ</mml:mi></mml:math> -simulation functions, and employ it to define a new contractive condition. We also prove some new fixed and best proximity point results in the context of an M -complete fuzzy metric space. The presented theorems unify, generalize, and improve several existing results in the literature.
Topics & Concepts
MathematicsMetric spaceContext (archaeology)Metric (unit)Class (philosophy)Fixed pointPoint (geometry)Discrete mathematicsFuzzy logicPure mathematicsMathematical analysisComputer scienceGeometryArtificial intelligenceOperations managementEconomicsBiologyPaleontologyFixed Point Theorems Analysis