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Fixed point results for a pair of fuzzy mappings and related applications in b-metric like spaces

Tahair Rasham, Giuseppe Marino, Aqeel Shahzad, Choonkil Park, Abdullah Shoaib

2021Advances in Difference Equations15 citationsDOIOpen Access PDF

Abstract

Abstract This paper is devoted to finding out some realization of the concept of b -metric like space. First, we attain a fixed point for two fuzzy mappings satisfying a suitable requirement of contractiveness. Subsequently, we apply such a result to graphic contractions. Also, we attain a unique solution for a system of integral equations, and lastly we give an application to ensure that there exists a common bounded solution of a suitable functional equation in dynamic programming.

Topics & Concepts

MathematicsMetric spaceBounded functionOrdinary differential equationPartial differential equationFixed pointMetric (unit)Fuzzy logicRealization (probability)Fixed-point theoremPoint (geometry)Product metricApplied mathematicsDiscrete mathematicsMathematical optimizationComputer scienceMathematical analysisDifferential equationEconomicsStatisticsGeometryOperations managementArtificial intelligenceFixed Point Theorems Analysis
Fixed point results for a pair of fuzzy mappings and related applications in b-metric like spaces | Litcius