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Fixed Points for ( ξ , ω )-Weakly Cyclic Type Generalized Contraction Condition in Metric Spaces with an Application

Author

Listed:
  • Penumarthy Parvateesam Murthy

    (Department of Mathematics, Guru Ghasidas Vishwavidyalaya (A Central University), Bilaspur 495009, India)

  • Pusplata Sahu

    (Department of Mathematics, Guru Ghasidas Vishwavidyalaya (A Central University), Bilaspur 495009, India)

  • Amr Elsonbaty

    (Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia
    Department of Mathematics and Engineering Physics, Faculty of Engineering, Mansoura University, Mansoura 35516, Egypt)

  • Khizar Hyatt Khan

    (Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia)

  • Rajagopalan Ramaswamy

    (Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia)

  • Stojan Radenović

    (Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Belgrade, Serbia)

Abstract

In the present work, we have introduced a new type of ( ξ , ω ) -weakly cyclic generalized contraction in the setting of metric spaces and established some fixed-point results. Fixed-point results are useful in establishing the existence of unique solution to differential equations. We have supplemented the derived results with suitable non-trivial examples with an application to the Boundary Value Problem, generalizing some known results. The analytical result has been verified with numerical simulation.

Suggested Citation

  • Penumarthy Parvateesam Murthy & Pusplata Sahu & Amr Elsonbaty & Khizar Hyatt Khan & Rajagopalan Ramaswamy & Stojan Radenović, 2022. "Fixed Points for ( ξ , ω )-Weakly Cyclic Type Generalized Contraction Condition in Metric Spaces with an Application," Mathematics, MDPI, vol. 11(1), pages 1-14, December.
    • Handle: RePEc:gam:jmathe:v:11:y:2022:i:1:p:166-:d:1018407
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