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Applications to Boundary Value Problems and Homotopy Theory via Tripled Fixed Point Techniques in Partially Metric Spaces

Author

Listed:
  • Hasanen A. Hammad

    (Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt)

  • Praveen Agarwal

    (Department of Mathematics, Anand International College of Engineering, Jaipur 302012, India
    Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman AE 346, United Arab Emirates
    Institute of Mathematical Modeling, Almaty 050010, Kazakhstan
    International Center for Basic and Applied Sciences, Jaipur 302029, India)

  • Juan L. G. Guirao

    (Departamento de Matematica Aplicada y Estadistica, Universidad Politecnica de Cartagena, Hospital de Marina, 30203 Murcia, Spain
    Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia)

Abstract

In this manuscript, some tripled fixed point results were derived under ( φ , ρ , ℓ ) -contraction in the framework of ordered partially metric spaces. Moreover, we furnish an example which supports our theorem. Furthermore, some results about a homotopy results are obtained. Finally, theoretical results are involved in some applications, such as finding the unique solution to the boundary value problems and homotopy theory.

Suggested Citation

  • Hasanen A. Hammad & Praveen Agarwal & Juan L. G. Guirao, 2021. "Applications to Boundary Value Problems and Homotopy Theory via Tripled Fixed Point Techniques in Partially Metric Spaces," Mathematics, MDPI, vol. 9(16), pages 1-22, August.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:16:p:2012-:d:620047
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    References listed on IDEAS

    as
    1. Hasanen A. Hammad & Hassen Aydi & Manuel De la Sen & Atila Bueno, 2021. "Solutions of Fractional Differential Type Equations by Fixed Point Techniques for Multivalued Contractions," Complexity, Hindawi, vol. 2021, pages 1-13, February.
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    Cited by:

    1. Naeem Saleem & Salman Furqan & Kinda Abuasbeh & Muath Awadalla, 2023. "Fuzzy Triple Controlled Metric like Spaces with Applications," Mathematics, MDPI, vol. 11(6), pages 1-30, March.
    2. Hasanen A. Hammad & Mohra Zayed, 2022. "New Generalized Contractions by Employing Two Control Functions and Coupled Fixed-Point Theorems with Applications," Mathematics, MDPI, vol. 10(17), pages 1-18, September.

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    1. Hasanen A. Hammad & Mohra Zayed, 2022. "New Generalized Contractions by Employing Two Control Functions and Coupled Fixed-Point Theorems with Applications," Mathematics, MDPI, vol. 10(17), pages 1-18, September.

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