Ordered-Theoretic Fixed Point Results in Fuzzy b-Metric Spaces with an Application
Khalil Javed, Fahim Ud Din, Hassen Aydi, Aiman Mukheimer, Muhammad Arshad
Abstract
The aim of this manuscript is to initiate the study of the Banach contraction in R-fuzzy b-metric spaces and discuss some related fixed point results to ensure the existence and uniqueness of a fixed point. A nontrivial example is imparted to illustrate the feasibility of the proposed methods. Finally, to validate the superiority of the provided results, an application is presented to solve the first kind of a Fredholm-type integral equation.
Topics & Concepts
MathematicsUniquenessFixed-point theoremFixed pointMetric spaceContraction principleContraction mappingFuzzy logicContraction (grammar)Banach spacePure mathematicsDiscrete mathematicsApplied mathematicsMathematical analysisComputer scienceInternal medicineArtificial intelligenceMedicineFixed Point Theorems Analysis