Geodesic
On ⋆-metric spaces
Filomat, Tome 36 (2022) no. 18, p. 6173

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DOI

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 ⋆-metric. In this paper, we prove that every ⋆-metric space is metrizable. Also, we study the total boundedness and completeness of ⋆-metric spaces.
DOI : 10.2298/FIL2218173H
Classification : 54E35, 54E45, 54E50, 54E52
Keywords: ⋆-metric spaces, total boundedness, completeness 
S Y He; L H Xie; P F Yan. On ⋆-metric spaces. Filomat, Tome 36 (2022) no. 18, p. 6173 . doi: 10.2298/FIL2218173H
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     doi = {10.2298/FIL2218173H},
     language = {en},
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