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.

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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
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article

Relation-theoretic-coupled fixed point theorems for rational-type contractions via C-class function with an application

Shahbaz Ali, Asik Hossain, Qamrul Haque Khan
Asian-European Journal of Mathematics
Fixed Point Theorems Analysis
article

Relation-theoretic-coupled fixed point theorems for rational-type contractions via C-class function with an application

Shahbaz Ali, Asik Hossain, Qamrul Haque Khan
article en

Abstract

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.

Asian-European Journal of MathematicsVol. 18(02)
Aligarh Muslim University (IN), Haldia Institute of Technology (IN)
Openalex Percentile: Top 74%
Fixed Point Theorems Analysis
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