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The Existence and Uniquenes Solution of Nonlinear Integral Equations via Common Fixed Point Theorems

Author

Listed:
  • Gunaseelan Mani

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

  • Arul Joseph Gnanaprakasam

    (Department of Mathematics, College of Engineering and Technology, Faculty 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)

  • Zhaohui Gu

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

Abstract

In this paper, we prove some common fixed-point theorems on complex partial metric space. The presented results generalize and expand some of the well-known results in the literature. We also explore some of the applications of our key results.

Suggested Citation

  • Gunaseelan Mani & Arul Joseph Gnanaprakasam & Yongjin Li & Zhaohui Gu, 2021. "The Existence and Uniquenes Solution of Nonlinear Integral Equations via Common Fixed Point Theorems," Mathematics, MDPI, vol. 9(11), pages 1-15, May.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:11:p:1179-:d:560691
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    References listed on IDEAS

    as
    1. Gunaseelan Mani & Arul Joseph Gnanaprakasam & Ramakrishnan Kalaichelvan & Yaé Ulrich Gaba, 2021. "Results on Complex Partial b-Metric Space with an Application," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-10, April.
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    Cited by:

    1. Rajagopalan Ramaswamy & Gunaseelan Mani & Arul Joseph Gnanaprakasam & Ola A. Ashour Abdelnaby & Stojan Radenović, 2022. "An Application to Fixed-Point Results in Tricomplex-Valued Metric Spaces Using Control Functions," Mathematics, MDPI, vol. 10(18), pages 1-15, September.

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