Some Common Fixed-Point Theorem on Complex-Valued Metric Spaces and Its Application to Solve Urysohn Integral Equations

P. Vishnukumar; A. Anbarasan; T. Sathiyaraj; Mohammad Sajid

doi:10.37256/cm.6120255985

Some Common Fixed-Point Theorem on Complex-Valued Metric Spaces and Its Application to Solve Urysohn Integral Equations

Authors

P. Vishnukumar Department of Mathematics, St. Joseph’s College (Autonomous), (Affiliated to Bharathidasan University) Trichy, Tamil Nadu, India https://orcid.org/0000-0001-8939-6221
A. Anbarasan Department of Mathematics, K.Ramakrishnan College of Engineering, Trichy, Tamil Nadu, India https://orcid.org/0000-0003-2794-8283
T. Sathiyaraj Institute of Actuarial Science and Data Analytics, UCSI University, Cheras, 56000, Kuala Lumpur, Malaysia https://orcid.org/0000-0002-0551-1067
Mohammad Sajid Department of Mechanical Engineering, College of Engineering, Qassim University, Saudi Arabia https://orcid.org/0000-0002-9921-787X

DOI:

https://doi.org/10.37256/cm.6120255985

Keywords:

fixed-point theory, complex-valued metric spaces, common fixed-point, nonlinear system, theoretical study

Abstract

In this paper, a new and generalized contraction principles are proved on complex-valued metric space. By adopting a suitable hypothesis on sequence converging in complex-valued metric space new contractions are established for proving the common fixed-point theorem. Moreover, a rational contractive condition is improved in the complex-valued metric spaces. The obtained results through theoretical study are verified by solving the solution of the nonlinear system of Urysohn integral equations.

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Published

2025-01-22

How to Cite

P. Vishnukumar, A. Anbarasan, T. Sathiyaraj, Mohammad Sajid. Some Common Fixed-Point Theorem on Complex-Valued Metric Spaces and Its Application to Solve Urysohn Integral Equations. Contemp. Math. [Internet]. 2025 Jan. 22 [cited 2025 Feb. 11];6(1):812-26. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/5985

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Issue

Contemporary Mathematics, Volume 6 Issue 1 (2025)

Section

Research Article

License

This work is licensed under a Creative Commons Attribution 4.0 International License.