Certain applications of JS-quasi-contraction fixed point theorems in bipolar metric spaces

Abstract

The concept of JS-quasi-contraction is introduced in this work as a step in the construction of a bipolar metric space, along with frequently certain fixed point theorems for these mappings in complete bipolar metric spaces under the presumption that the involved function is nondecreasing and continuous. In addition, we offer applications to homotopy and integral equations and offer an explanation that shows the significance of the discovered results.