Volume 70 | Issue 11 | Year 2024 | Article Id. IJMTT-V70I11P101 | DOI : https://doi.org/10.14445/22315373/IJMTT-V70I11P101
Received | Revised | Accepted | Published |
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15 Aug 2024 | 28 Sep 2024 | 14 Nov 2024 | 27 Nov 2024 |
After presenting a strong φ-metric space and proving that this space is regular and normal, in this article, we prove the Stone-type theorem in a strong φ-metric space. Also, it is used Bing metrization theorem for access to a satisfactory condition of metrizability.
Strong φ-metric, Strong φ-metric space, Metrizability, Topological space, Regular metric space.
[1] S. Çeno, and Dh. Valera, “Introduction to Strong Φ-Metric and Some Basic Properties,” 4th International Conference on Engineering, Natural and Social Science, Konya, Turkey, 2024.
[2] Ryszard Engelking, General Topology, Sigma Series in Pure Mathematics, Heldermann Verlag, Berlin, 1989.
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[3]Frank Siwiec, “On Defining a Space by a Weak-Base,” Pacific Journal of Mathematics, vol. 52, pp. 233-245, 1974.
[CrossRef] [Google Scholar] [Publisher Link]
[4]S.P. Franklin, “Spaces in which Sequences Suffice,” Fundamenta Mathematicae, vol. 57, pp. 107-115, 1965.
[Google Scholar]
[5] R.H. Bing, “Metrization of Topological Spaces,” Canadian Journal of Mathematics, vol. 3, pp. 175-186, 1951.
[CrossRef] [Google Scholar] [Publisher Link]
[6] Mehmet Kir, and Hükmi Kiziltunc, “On Some Well-Known Fixed Point Theorems in B-Metric Spaces,” Turkish Journal of Analysis and Number Theory, vol. 1, no. 1, pp. 13-16, 2013.
[CrossRef] [Google Scholar] [Publisher Link]
Stela Çeno, Dhurata Valera, "Metrizability of the Strong φ-metric Space," International Journal of Mathematics Trends and Technology (IJMTT), vol. 70, no. 11, pp. 1-4, 2024. Crossref, https://doi.org/10.14445/22315373/IJMTT-V70I11P101