Best Proximity Point Theorems for $d$-Rational Cyclic Contractions in Dislocated Metric Spaces


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Authors

  • Ajay Kumar Sharma Department of Mathematics, Seth Phoolchand Agrawal Smriti Mahavidyalaya, Nawapara, Raipur, Chhattisgarh, India
  • Manjari Dewangan S.o.S. in Mathematics, Pt.Ravishankar Shukla University, Raipur, Chhattisgarh, India
  • M. P. Goswami Department of Mathematics, Kalyan PG College, Bhilai Nagar, Chhattisgarh, India

Keywords:

Dislocated metric space, Best proximity point, Cyclic contraction

Abstract

In this work, we define $d$-rational cyclic contraction in the setting of dislocated metric space. Some existence and convergence results for best proximity points have been demonstrated. Further, illustrative examples are provided in the support of results proved.

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Published

13-06-2026

How to Cite

Ajay Kumar Sharma, Manjari Dewangan, & M. P. Goswami. (2026). Best Proximity Point Theorems for $d$-Rational Cyclic Contractions in Dislocated Metric Spaces. International Journal of Mathematics And Its Applications, 14(2), 141–151. Retrieved from https://ijmaa.in/index.php/ijmaa/article/view/1625

Issue

Vol. 14 No. 2 (2026)

Section

Research Article

License

Copyright (c) 2026 International Journal of Mathematics And its Applications

Creative Commons License

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