Some covariant and contravariant fixed point theorems over bipolar p-metric spaces and applications

Abstract

In this article, the concept of bipolar p-metric spaces has been introduced as a generalization of usual metric spaces, b-metric spaces and also p-metric spaces. In view of this notion we prove Banach, Reich, Bianchini and Jaggi type fixed point theorems over such spaces. Supporting examples have been given in order to examine the validity of the underlying space and in support of our fixed point theorems.