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

Source 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.