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C *-Algebra Valued Partial b -Metric Spaces and Fixed Point Results with an Application

Author

Listed:
  • Nabil Mlaiki

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

  • Mohammad Asim

    (Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India)

  • Mohammad Imdad

    (Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India)

Abstract

In this paper, we enlarge the class of C * -algebra valued partial metric spaces as well as the class of C * -algebra valued b -metric spaces by introducing the class of C * -algebra valued partial b -metric spaces and utilize the same to prove our fixed point results. We furnish an example to highlight the utility of our main result. Finally, we apply our result in order to examine the existence and uniqueness of a solution for the system of Fredholm integral equations.

Suggested Citation

  • Nabil Mlaiki & Mohammad Asim & Mohammad Imdad, 2020. "C *-Algebra Valued Partial b -Metric Spaces and Fixed Point Results with an Application," Mathematics, MDPI, vol. 8(8), pages 1-11, August.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:8:p:1381-:d:400318
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    References listed on IDEAS

    as
    1. N. Mlaiki & K. Abodayeh & H. Aydi & T. Abdeljawad & M. Abuloha, 2018. "Rectangular Metric-Like Type Spaces and Related Fixed Points," Journal of Mathematics, Hindawi, vol. 2018, pages 1-7, September.
    Full references (including those not matched with items on IDEAS)

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