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2020•Russian Journal of Mathematical PhysicsRequires access

Some Fixed Point Theorems for $$F(\psi,\varphi)$$-Contractions and Their Application to Fractional Differential Equations

H. M. Srivastava, Ayman Shehata, Shimaa I. Moustafa

Open publisher page 15 citations

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.

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What this paper is about

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.

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OpenAlex reports 15 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available 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.

Key concepts: Fixed-point theorem, Mathematics, Fixed point, Order (exchange), Metric space, Mathematical analysis, Pure mathematics, Point (geometry)

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Some Fixed Point Theorems for $F(\psi,\varphi)$-Contractions and Their Application to Fractional Differential Equations — Research Paper | ScholarLens