Partial n-metric spaces and fixed point theorems

2015/02/18 by Assaf, Samer, Pal, Koushik
#37C25 #47H10 #54H25 #FOS: Mathematics #General Topology (math.GN)

paper · doi:10.48550/arxiv.1502.05320

Abstract

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.

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