New Extension of <i>p</I>-metric Spaces With Some Fixed-Point Results on <i>m</I>-metric Spaces

Abstract

In this paper, we extend the p-metric space to an M-metric space, and we shall show that the definition we give is a real generalization of the p-metric by presenting some examples. In the sequel we prove some of the main theorems by generalized contractions for getting fixed points and common fixed points for mappings.