m-Convex Structure on b-Metric Spaces

Abstract

We apply the concept of a m-convex b-metric space by introducing of m-convex structure on b-metric spaces. We obtain fixed point theorems in this structure. Recent results are concluded in our targets, as well. Some illustrated examples are presented to confirm our main results. As an application, we apply our main result to finding existence and uniqueness the solution of the Fredholm non-linear integral equation.