Some common fixed point theorems in bipolar metric spaces and applications

Abstract

In this article, we prove some common fixed point theorems for generalized rational type contractions in bipolar metric spaces. These theorems also generalize and extend several interesting results of metric fixed point theory to the bipolar metric context. In addition, we provide some examples to illustrate our theorems, and applications are obtained in areas of homotopy theory and integral equations by using iterative methods for mathematical operators on a bipolar metric space.

Keywords

• common fixed point
• rational type contraction
• bipolar metric spaces
• iterative methods
• mathematical operators