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Fixed Point Results in C -Algebra-Valued Partial b -Metric Spaces with Related Application

Author

Listed:
  • Gunaseelan Mani

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

  • Arul Joseph Gnanaprakasam

    (Department of Mathematics, Faculty of Engineering and Technology, SRM Institute of Science and Technology, SRM Nagar, Kattankulathur, Kanchipuram 603203, Tamil Nadu, India)

  • Ozgur Ege

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

  • 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, NSW 2150, Australia)

  • Nabil Mlaiki

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

Abstract

In this manuscript, we prove some fixed point theorems on C -algebra-valued partial b -metric spaces by using generalized contraction. We give support and suitable examples of our main results. Moreover, we present a generative application of the main results.

Suggested Citation

  • Gunaseelan Mani & Arul Joseph Gnanaprakasam & Ozgur Ege & Ahmad Aloqaily & Nabil Mlaiki, 2023. "Fixed Point Results in C -Algebra-Valued Partial b -Metric Spaces with Related Application," Mathematics, MDPI, vol. 11(5), pages 1-9, February.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:5:p:1158-:d:1081227
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