Generalization Contractive Mappings on Rectangular b -Metric Space

Abstract

In this paper, we introduce new coincidence fixed point theorems for generalized $\left(\varphi ,\psi \right)$ -contractive mappings fulfilling kind of an admissibility provision in a Hausdorff $\text{b}$ -rectangular metric space with the support of C-functions. We applied our results to establish the existence of a solution for some integralitions. Finally, an example is presented to clarify our theorem.