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Fixed Point Theory Using ψ Contractive Mapping in C ∗ -Algebra Valued B-Metric Space

Author

Listed:
  • Rahmah Mustafa

    (Department of Mathematics, Faculty of Science, AL-Baha University, Alaqiq 65779-77388, Saudi Arabia)

  • Saleh Omran

    (Department of Mathematics, South Valley University, Safaga Road, Km 6 Qena, Qena 83523, Egypt)

  • Quang Ngoc Nguyen

    (Department of Communications and Computer Engineering, School of Fundamental Science and Engineering, Waseda University, Shinjuku-ku, Tokyo 169-0051, Japan)

Abstract

In this paper, fixed point theorems using ψ contractive mapping in C ∗ -algebra valued b-metric space are introduced. By stating multiple scenarios that illustrate the application domains, we demonstrate several applications from the obtained results. In particular, we begin with the definition of the positive function and then recall some properties of the function that lay the fundamental basis for the research. We then study some fixed point theorems in the C ∗ -algebra valued b-metric space using a positive function.

Suggested Citation

  • Rahmah Mustafa & Saleh Omran & Quang Ngoc Nguyen, 2021. "Fixed Point Theory Using ψ Contractive Mapping in C ∗ -Algebra Valued B-Metric Space," Mathematics, MDPI, vol. 9(1), pages 1-8, January.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:1:p:92-:d:474411
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