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A Contemporary Approach of Integral Khan-Type Multivalued Contractions with Generalized Dynamic Process and an Application

Author

Listed:
  • Mustafa Mudhesh

    (Department of Mathematics, International Islamic University, H-10, Islamabad 44000, Pakistan)

  • Aftab Hussain

    (Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia)

  • Muhammad Arshad

    (Department of Mathematics, International Islamic University, H-10, Islamabad 44000, Pakistan)

  • Hamed Alsulami

    (Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia)

Abstract

The aim of this article is to investigate the relationship between integral-type contractions and the generalized dynamic process. The fixed-point results for multivalued mappings that satisfy both the integral Khan-type contraction and the integral θ -contraction are established in a complete metric space. Furthermore, some corollaries are derived based on our main contribution. To demonstrate the novelty of our findings, several examples are provided. Finally, we look into whether nonlinear fractional differential equations have solutions utilizing the obtained results.

Suggested Citation

  • Mustafa Mudhesh & Aftab Hussain & Muhammad Arshad & Hamed Alsulami, 2023. "A Contemporary Approach of Integral Khan-Type Multivalued Contractions with Generalized Dynamic Process and an Application," Mathematics, MDPI, vol. 11(20), pages 1-18, October.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:20:p:4318-:d:1261387
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    References listed on IDEAS

    as
    1. Özlem Acar & Hassen Aydi & Manuel De la Sen, 2021. "New Fixed Point Results via a Graph Structure," Mathematics, MDPI, vol. 9(9), pages 1-13, April.
    2. A. Branciari, 2002. "A fixed point theorem for mappings satisfying a general contractive condition of integral type," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 29, pages 1-6, January.
    3. Aftab Hussain & Huseyin Isik, 2021. "Solution of Fractional Differential Equations Utilizing Symmetric Contraction," Journal of Mathematics, Hindawi, vol. 2021, pages 1-17, May.
    4. Maryam Beygmohammadi & Abdolrahman Razani, 2010. "Two Fixed-Point Theorems for Mappings Satisfying a General Contractive Condition of Integral Type in the Modular Space," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2010, pages 1-10, December.
    Full references (including those not matched with items on IDEAS)

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