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arXiv · 2111.14752

On $\star$-metric spaces

Shi-yao He·Li-Hong Xie·Peng-Fei Yan
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Abstract

Metric spaces are generalized by many scholars. Recently, Khatami and Mirzavaziri use a mapping called $t$-definer to popularize the triangle inequality and give a generalization of the notion of a metric, which is called a $\star$-metric. In this paper, we prove that every $\star$-metric space is metrizable. Also, we study the total boundedness and completeness of $\star$-metric spaces.

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Shi-yao He, Li-Hong Xie, Peng-Fei Yan. 2021-11-24. On $\star$-metric spaces. https://arxiv.org/abs/2111.14752

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