Relation-theoretic-coupled fixed point theorems for rational-type contractions via C-class function with an application
In this paper, we discuss the relation theoretic fixed point results for rational type contractions by using [Formula: see text]-class functions. Also, we prove that the existence and uniqueness of coupled fixed point theorem under mixed monotone property and [Formula: see text]-class function. Moreover, we give some examples in support of our proved result. Finally, we give an application to find a solution to a nonlinear integral equation.
Authors
- Shahbaz Ali (ORCID: https://orcid.org/0000-0002-5998-0053)
- Asik Hossain (ORCID: https://orcid.org/0000-0002-7395-1312)
- Qamrul Haque Khan
Institutions
- Aligarh Muslim University (IN)
- Haldia Institute of Technology (IN)
Publication Details
- Journal
- Asian-European Journal of Mathematics
- Published
- 2024-09-27
- DOI
- https://doi.org/10.1142/s1793557124501055
- Primary Topic
- Fixed Point Theorems Analysis
- Type
- article
- Field-Weighted Citation Impact
- 0.00