On $\star$-metric spaces
General Topology
2021-11-30 v1
Abstract
Metric spaces are generalized by many scholars. Recently, Khatami and Mirzavaziri use a mapping called -definer to popularize the triangle inequality and give a generalization of the notion of a metric, which is called a -metric. In this paper, we prove that every -metric space is metrizable. Also, we study the total boundedness and completeness of -metric spaces.
Keywords
Cite
@article{arxiv.2111.14752,
title = {On $\star$-metric spaces},
author = {Shi-yao He and Li-Hong Xie and Peng-Fei Yan},
journal= {arXiv preprint arXiv:2111.14752},
year = {2021}
}
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14 pages