On Common Fixed Point Theorems for Generalized Contractions Involving Rational Expressions and Auxiliary Functions
DOI:
https://doi.org/10.29020/nybg.ejpam.v18i4.6078Keywords:
auxiliary functions, rational expression, partially orderedAbstract
The purpose of this article is to prove common fixed point theorems for pair of maps (not necessary continuous), satisfying generalised contractions involving rational expressions and auxiliary functions $(\psi, \beta)$ in the setting of both fuzzy $b$-metric spaces as well as partially ordered fuzzy $b$-metric spaces. To substantiate our finding, an example with graphical representation is given. The obtained results may generalize and improve some of the well-known fixed-point results of the literature.
Downloads
Published
Issue
Section
License
Copyright (c) 2025 Sahil Thakur, Naveen Mani, Rahul Shukla
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Upon acceptance of an article by the European Journal of Pure and Applied Mathematics, the author(s) retain the copyright to the article. However, by submitting your work, you agree that the article will be published under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0). This license allows others to copy, distribute, and adapt your work, provided proper attribution is given to the original author(s) and source. However, the work cannot be used for commercial purposes.
By agreeing to this statement, you acknowledge that:
- You retain full copyright over your work.
- The European Journal of Pure and Applied Mathematics will publish your work under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).
- This license allows others to use and share your work for non-commercial purposes, provided they give appropriate credit to the original author(s) and source.