Volume 71 | Issue 10 | Year 2025 | Article Id. IJMTT-V71I10P110 | DOI : https://doi.org/10.14445/22315373/IJMTT-V71I10P110
Common Fixed Point Theorem for Two Self-Mappings in b-Rectangular Metric Spaces
| Received | Revised | Accepted | Published |
|---|---|---|---|
| 23 Aug 2025 | 30 Sep 2025 | 17 Oct 2025 | 30 Oct 2025 |
Dhirendra Kumar Singh, Bhagwan Deen Saket, "Common Fixed Point Theorem for Two Self-Mappings in b-Rectangular Metric Spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 71, no. 10, pp. 70-73, 2025. Crossref, https://doi.org/10.14445/22315373/IJMTT-V71I10P110
In this paper, the author has proved the common fixed point theorem on b-rectangular metric spaces. We have proved common fixed point results by using pair self-mappings in b-rectangular metric spaces. This result is the expansion of some existing results.
Common Fixed Point, b-rectangular Metric Space, Existence and Uniqueness.
[1] I.A.
Bakhtin, “The Contraction Mapping Principle in Almost Metric Spaces,” Functional Analysis, vol. 30, pp. 26-34,
1989.
[Google Scholar]
[2] Monica
Boriceanu, “Fixed Point Theory for Multivalued Generalized Contraction on a Set
with Two b-Metric,” Studia Universitatis
Babeș-Bolyai Mathematics, pp. 1-14, 2009."
[Google Scholar]
[3] Stefan
Czerwik, “Contraction Mappings in b-Metric Space,” Acta Mathematica et Informatica Universitatis Ostraviensis, vol. 1,
pp. 5-11, 1993.
[Google Scholar]
[Publisher Link]
[4] R.
George et al., “Rectangular b-Metrics Spaces and Contraction Principle,” Journal of Non-Linear Science and
Application, vol. 8 pp. 1005-1013, 2015.
[Google Scholar]
[Publisher Link]
[5] Huaping
Huang, Guantie Deng, and Stojan Radenović, “Fixed Point Theorems in b-Metric Spaces with Applications to
Differential Equations,” Journal of Fixed
Point Theory and Applications, vol. 20, 2018.
[CrossRef]
[Google Scholar]
[Publisher Link]
[6] Qasim
K. Kadhim, and Alia S. Kurdi, “Common Fixed Point Theorems by Using Two
Mappings in B-Rectangular Metric Space,” Journal
of Pure Science, vol. 28, no. 1, pp. 20-25, 2023.
[CrossRef]
[Google Scholar] [Publisher Link]