On M-metric spaces and fixed point theorems

Samer Assaf

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arXiv · 1712.08782

On M-metric spaces and fixed point theorems

Samer Assaf

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Abstract

In this paper we make some observations concerning m-metric spaces and point out some discrepancies in the proofs found in the literature. To remedy this, we propose a new topological construction and prove that it is in fact a generalization of a partial metric space. Then, using this construction, we present our main theorem having as its corollaries the fixed point theorems found in previous publications.

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Samer Assaf. 2017-12-23. On M-metric spaces and fixed point theorems. https://arxiv.org/abs/1712.08782

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