Controlled S-Metric-Type Spaces and Applications to Fractional Integrals
Nilay Ekiz Yazici, Özgür Ege, Nabil Mlaiki, Aiman Mukheimer
Abstract
In this paper, we introduce controlled S-metric-type spaces and give some of their properties and examples. Moreover, we prove the Banach fixed point theorem and a more general fixed point theorem in this new space. Finally, using the new results, we give two applications on Riemann–Liouville fractional integrals and Atangana–Baleanu fractional integrals.
Topics & Concepts
MathematicsType (biology)Fixed-point theoremMetric spaceFractional calculusPure mathematicsBanach spaceMetric (unit)Fixed pointMathematical analysisEcologyEconomicsOperations managementBiologyFixed Point Theorems AnalysisAdvanced Differential Geometry Research