Fixed-Point Theorems for Rational Interpolative-Type Operators with Applications
Muhammad Sarwar, Sahibzada Waseem Ahmad, Thabet Abdeljawad
Abstract
In the current manuscript, two fixed-point theorems for Dass-Gupta and Gupta-Saxena rational interpolative-type operators are studied in the setting of metric spaces. For the authenticity of the presented work, examples and applications to the existence of a solution to the Caputo-Fabrizio fractional derivative and Caputo-Fabrizio fractal-fractional derivative are also discussed.
Topics & Concepts
MathematicsType (biology)FractalFractional calculusFixed-point theoremFixed pointPure mathematicsDerivative (finance)Point (geometry)Metric spaceMetric (unit)Applied mathematicsMathematical analysisCalculus (dental)Discrete mathematicsGeometryMedicineDentistryOperations managementEcologyEconomicsFinancial economicsBiologyFixed Point Theorems AnalysisNonlinear Differential Equations AnalysisAdvanced Differential Geometry Research