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Journals / Journal of New Theory / 2022 / Sayı: 41

Soft $A$-Metric Spaces

Hande POŞUL
Çiğdem GÜNDÜZ
Servet KÜTÜKCÜ
Pages
70–81
Publication Date
2022-12-31
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Then, we examine various basic properties of these spaces: soft Hausdorffness, a soft Cauchy sequence, and soft convergence.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This paper draws on the theory of soft $A$-metric space using soft points of soft sets and the concept of $A$-metric spaces.
📊
Key Findings & Data:This new space has great importance as a new type of generalisation of metric spaces since it includes various known metric spaces.
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Conclusion & Impact:Then, we examine various basic properties of these spaces: soft Hausdorffness, a soft Cauchy sequence, and soft convergence.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Soft metric · A-metric · soft A-metric

Abstract

This paper draws on the theory of soft $A$-metric space using soft points of soft sets and the concept of $A$-metric spaces. This new space has great importance as a new type of generalisation of metric spaces since it includes various known metric spaces. In this paper, we introduce the concept of soft $A$-metric space and examine the relations with known spaces. Then, we examine various basic properties of these spaces: soft Hausdorffness, a soft Cauchy sequence, and soft convergence.

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Cite This Article

POŞUL, H., GÜNDÜZ, Ç., KÜTÜKCÜ, S. (2022). Soft $A$-Metric Spaces. Journal of New Theory, Sayı: 41, 70–81. https://ajindex.com/articles/860581

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