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A New Extension of C J Metric Spaces—Partially Controlled J Metric Spaces

Author

Listed:
  • Suhad Subhi Aiadi

    (Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
    Institute of Mathematical Sciences, Faculty of Science, Universiti Malaya, Kuala Lumpur 50603, Malaysia)

  • Wan Ainun Mior Othman

    (Institute of Mathematical Sciences, Faculty of Science, Universiti Malaya, Kuala Lumpur 50603, Malaysia)

  • Kok Bin Wong

    (Institute of Mathematical Sciences, Faculty of Science, Universiti Malaya, Kuala Lumpur 50603, Malaysia)

  • Nabil Mlaiki

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

Abstract

This article introduces the concept of partially controlled J metric spaces; in particular, the J metric space with self-distance is not necessarily zero, which is important in computer science. We prove the existence of a unique fixed point for linear and nonlinear contractions, provide some examples to prove the existence of this metric space, and present some important applications in fractional differential equations, i.e., “Riemann–Liouville derivatives”.

Suggested Citation

  • Suhad Subhi Aiadi & Wan Ainun Mior Othman & Kok Bin Wong & Nabil Mlaiki, 2023. "A New Extension of C J Metric Spaces—Partially Controlled J Metric Spaces," Mathematics, MDPI, vol. 11(13), pages 1-15, July.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:13:p:2973-:d:1186124
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