On Rational-Type Contractive Mappings in Bi-Complex Valued Control Metric Spaces and Applications

Authors

  • Muhammad Sarwar Department of Mathematics, University of Malakand, Chakdara Dir(L), 18000, Khyber Pakhtunkhwa, Pakistan
  • Nahid Fatima Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
  • Sayed Khayyam Shah Department of Mathematics, Middle East Technical University, Northern Cyprus Campus, 99738 Kalkanli, Guzelyurt, Mersin 10, Turkiye
  • Asad Khan Department of Mathematics, University of Malakand, Chakdara Dir(L), 18000, Khyber Pakhtunkhwa, Pakistan
  • Kamaleldin Abodayeh Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i3.6314

Keywords:

Bi-complex valued controlled metric spaces, Fixed Point, Rational type contractions, Fractional Differential Equations

Abstract

This manuscript studies some unique and common fixed point results in the context of bi-complex valued control metric space(BVCMS) using rational-type inequalities. The presented work explains the idea of BVCMS and then shows the necessary criteria for a pair of contractive type mappings in this space to have common fixed points. To show how applicable our results are,
we also give an example. Finally, the existence of solutions of a system of fractional differential equations has been studied using the obtained results.

Author Biography

  • Muhammad Sarwar, Department of Mathematics, University of Malakand, Chakdara Dir(L), 18000, Khyber Pakhtunkhwa, Pakistan

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

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Published

2025-08-01

Issue

Vol. 18 No. 3: (July 2025)

Section

Nonlinear Analysis

License

Copyright (c) 2025 Muhammad Sarwar, Nahid Fatima, Sayed Khayyam Shah, Asad Khan, Kamaleldin Abodayeh

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How to Cite

On Rational-Type Contractive Mappings in Bi-Complex Valued Control Metric Spaces and Applications. (2025). European Journal of Pure and Applied Mathematics, 18(3), 6314. https://doi.org/10.29020/nybg.ejpam.v18i3.6314