Hemi metric spaces and Banach fixed point theorem.

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 2-metric spaces. We will give and prove some topological properties. Also, Banach contraction mapping principle was proved and an application to Fredholm integral equation were gived in hemi metric spaces. [ABSTRACT FROM AUTHOR]