Innovative approaches to (A, B)-contraction and T-coupling fixed points in bipolar parametric metric spaces

Abstract

This article explores (A, B)-contraction type T-coupling and demonstrates the establishment of unique strong common coupled fixed points (USCCFP) within bipolar parametric metric spaces (BPPMS). Our research expands and generalizes several relevant findings from existing literature. Additionally, we provide two examples to support our key results. Finally, we apply our findings to systems of non-linear integral equations and homotopy.