International Journal of Research and Scientific Innovation (IJRSI)
Fixed Point Theorems in Metric Spaces Induced by Coprime Relations
Published April 9, 2026 • Vol. 13, Issue 3, pp. 1683–1689Open Access
DOI: 10.51244/IJRSI.2026.1303000147
Abstract
In this recent study, we investigated a novel fixed point in a special metric space where the distance between two natural numbers is determined by their coprime relations. We define a metric related to the Greatest Common Divisor (GCD) and explore fixed-point results for standard coprime controlled contraction mappings and their generalizations as well as fixed point results using additional mathematical structures. With the support of artificial intelligence and we also introduced Banach, Cric, and Kannan applications with examples to illustrate this theory.
Keywords: Fixed point, metric space, contraction mapping
| Journal | International Journal of Research and Scientific Innovation (IJRSI) |
|---|---|
| ISSN | 2321-2705 |
| Volume / Issue | Volume 13, Issue 3 |
| Pages | 1683–1689 |
| Publication date | April 9, 2026 |
| DOI | 10.51244/IJRSI.2026.1303000147 |
| Publisher | RSIS International |
| License | Open Access |
How to cite this article
Dr. Raja Ram Singh (2026). Fixed Point Theorems in Metric Spaces Induced by Coprime Relations. International Journal of Research and Scientific Innovation (IJRSI), 13(3), 1683-1689. https://doi.org/10.51244/IJRSI.2026.1303000147
BibTeX
@article{Dr2026,
title = {Fixed Point Theorems in Metric Spaces Induced by Coprime Relations},
author = {Dr. Raja Ram Singh},
journal = {International Journal of Research and Scientific Innovation (IJRSI)},
volume = {13},
number = {3},
pages = {1683--1689},
year = {2026},
doi = {10.51244/IJRSI.2026.1303000147},
publisher = {RSIS International}
}