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arXiv · 1502.05320

Partial n-metric spaces and fixed point theorems

Samer Assaf·Koushik Pal
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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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Samer Assaf, Koushik Pal. 2015-02-18. Partial n-metric spaces and fixed point theorems. https://arxiv.org/abs/1502.05320

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