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

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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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Authors and Affiliations

  1. University of Victoria, Victoria, Canada

    H. M. Srivastava

  2. China Medical University, Taiwan, China

    H. M. Srivastava

  3. Azerbaijan University, Baku, Azerbaijan

    H. M. Srivastava

  4. Assiut University, Assiut, Egypt

    A. Shehata

  5. Qassim University, Qassim, Kingdom of Saudi Arabia

    A. Shehata

  6. Assiut University, Assiut University, Egypt

    S. I. Moustafa

Authors
  1. H. M. Srivastava
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  2. A. Shehata
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  3. S. I. Moustafa
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Correspondence to H. M. Srivastava.

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Srivastava, H.M., Shehata, A. & Moustafa, S.I. Some Fixed Point Theorems for \(F(\psi,\varphi)\)-Contractions and Their Application to Fractional Differential Equations. Russ. J. Math. Phys. 27, 385–398 (2020). https://doi.org/10.1134/S1061920820030103

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  • DOI: https://doi.org/10.1134/S1061920820030103

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