Some Fixed Point Theorems for $$F(\psi,\varphi)$$-Contractions and Their Application to Fractional Differential Equations
H. M. Srivastava, Ayman Shehata, Shimaa I. Moustafa
Abstract
The main object of this paper is to establish some fixed point results for $$F(\psi,\varphi)$$ -contractions in partially-ordered metric spaces. As an application of one of these fixed point theorems, we discuss the existence of a unique solution for a coupled system of higher-order fractional differential equations with multi-point boundary conditions. The results presented in this paper are shown to extend many recent results appearing in the literature.
Topics & Concepts
Fixed-point theoremMathematicsFixed pointOrder (exchange)Metric spaceMathematical analysisPure mathematicsPoint (geometry)Differential equationDiscrete mathematicsGeometryFinanceEconomicsFixed Point Theorems AnalysisNonlinear Differential Equations Analysis