%0 Journal Article
%T Partial n-metric spaces and fixed point theorems
%A Samer Assaf
%A Koushik Pal
%J Mathematics
%D 2015
%I arXiv
%X In this paper we combine the notions of partial metric spaces with negative distances, $G_p$-metric spaces and n-metric spaces together into one structure called the partial n-metric spaces. These are generalizations of all the said structures, and also generalize the notions of $G$-metric and $G_p$-metric spaces to arbitrary finite dimension. We prove Cauchy mapping theorems and other fixed point theorems for such spaces.
%U http://arxiv.org/abs/1502.05320v1