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Advances in Fixed Point Theory ISSN 1927-6303 (Print)

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Adv. Fixed Point Theory 16 (2026), Article ID 17

Some fixed point results of rational type contractions in rational parametric (b,θ)-metric spaces

N. Bimolchandra Singh, Y. Mahendra Singh, Th. Bimol Singh

Abstract

In this paper, we discuss the existence of fixed points of Rational-type contraction mappings in rational parametric (b,θ)-metric spaces. As an application, we study the existence and uniqueness of the solution of Fredholm integral equation.

Published
8 June 2026
Volume
16 (2026)
License
CC BY 3.0

Copyright © 2026 N. Bimolchandra Singh, Y. Mahendra Singh, Th. Bimol Singh. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

N. B. Singh, Y. M. Singh, T. B. Singh, Some fixed point results of rational type contractions in rational parametric (b,θ)-metric spaces, Adv. Fixed Point Theory 16 (2026), 17. https://doi.org/10.28919/afpt/9877

BibTeX
@article{Singh2026,
  author  = {Singh, N. Bimolchandra and Singh, Y. Mahendra and Singh, Th. Bimol},
  title   = {Some fixed point results of rational type contractions in rational parametric (b,θ)-metric spaces},
  journal = {Adv. Fixed Point Theory},
  volume  = {16},
  year    = {2026},
  pages   = {17},
  doi     = {10.28919/afpt/9877}
}