On M-metric spaces and fixed point theorems
General Topology
2018-07-03 v2
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.
Cite
@article{arxiv.1712.08782,
title = {On M-metric spaces and fixed point theorems},
author = {Samer Assaf},
journal= {arXiv preprint arXiv:1712.08782},
year = {2018}
}