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New Fixed Point Results in Orthogonal B-Metric Spaces with Related Applications

Author

Listed:
  • Arul Joseph Gnanaprakasam

    (Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur 603203, India)

  • Gunaseelan Mani

    (Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai 602105, India)

  • Ozgur Ege

    (Department of Mathematics, Ege University, Bornova, Izmir 35100, Turkey)

  • Ahmad Aloqaily

    (Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
    School of Computer, Data and Mathematical Sciences, Western Sydney University, Sydney 2150, Australia)

  • Nabil Mlaiki

    (Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia)

Abstract

In this article, we present the concept of orthogonal α -almost Istr a ˘ tescu contraction of types D and D * and prove some fixed point theorems on orthogonal b -metric spaces. We also provide an illustrative example to support our theorems. As an application, we establish the existence and uniqueness of the solution of the fractional differential equation and the solution of the integral equation using Elzaki transform.

Suggested Citation

  • Arul Joseph Gnanaprakasam & Gunaseelan Mani & Ozgur Ege & Ahmad Aloqaily & Nabil Mlaiki, 2023. "New Fixed Point Results in Orthogonal B-Metric Spaces with Related Applications," Mathematics, MDPI, vol. 11(3), pages 1-18, January.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:3:p:677-:d:1049886
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