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Solving a System of Nonlinear Integral Equations via Common Fixed Point Theorems on Bicomplex Partial Metric Space

Author

Listed:
  • Zhaohui Gu

    (School of Mathematics and Statistics, Guangdong University of Foreign Studies, Guangzhou 510006, China)

  • Gunaseelan Mani

    (Department of Mathematics, Sri Sankara Arts and Science College (Autonomous), Affiliated to Madras University, Enathur, Kanchipuram 631 561, Tamil Nadu, India)

  • Arul Joseph Gnanaprakasam

    (Department of Mathematics, Faculty of Engineering and Technology, College of Engineering and Technology, SRM Institute of Science and Technology, SRM Nagar, Kattankulathur 603 203, Tamil Nadu, India)

  • Yongjin Li

    (Department of Mathematics, Sun Yat-Sen University, Guangzhou 510275, China)

Abstract

In this paper, we introduce the notion of bicomplex partial metric space and prove some common fixed point theorems. The presented results generalize and expand some of the literature’s well-known results. An example and application on bicomplex partial metric space is given.

Suggested Citation

  • Zhaohui Gu & Gunaseelan Mani & Arul Joseph Gnanaprakasam & Yongjin Li, 2021. "Solving a System of Nonlinear Integral Equations via Common Fixed Point Theorems on Bicomplex Partial Metric Space," Mathematics, MDPI, vol. 9(14), pages 1-19, July.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:14:p:1584-:d:589339
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