Hemi metric spaces and Banach fixed point theorems

Abstract

In this work, we will define a new type metric with degree m and m+1 points which is called m-hemi metric as a generalization of two metric spaces. We will give and prove some topological properties. Also, Banach contraction mapping principle were proved and a application to Fredholm integral equation were gived in hemi metric spaces.

Keywords

• hemi metric
• fixed point
• banach contraction