Metrizability of the Strong φ-metric Space

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.

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Publication Details

Journal
International Journal of Mathematics Trends and Technology
Published
2024-11-30
DOI
https://doi.org/10.14445/22315373/ijmtt-v70i11p101
Primary Topic
Fixed Point Theorems Analysis
Type
article
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article

Metrizability of the Strong φ-metric Space

Dhurata Valera, Stela Çeno
International Journal of Mathematics Trends and Technology
Fixed Point Theorems Analysis
article

Metrizability of the Strong φ-metric Space

Dhurata Valera, Stela Çeno
article en

Abstract

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.

International Journal of Mathematics Trends and TechnologyVol. 70(11)
Openalex Percentile: Top 61%
Fixed Point Theorems Analysis
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