Common Fixed Point Theorems in Bipolar Metric Spaces with Applications to Integral Equations

Abstract

This paper establishes the existence of coincidence fixed-point and common fixed-point results for two mappings in a complete bipolar metric spaces. Some interesting consequences of our results is achieved. Finally, an illustration which presents the applicability of the results is achieved.

Boyd-Wong type contractions in generalized parametric bipolar metric space

“…Since then, the authors have proved many fixed point theorems for covariant and contravariant mappings in bipolar metric spaces and applied these results to solve integral as well as fractional differential equations see ( [4] , [5] , [6] , [10] , [16] , [19] , [25] ).…”