Soft $A$-Metric Spaces

POŞUL, HANDE; GÜNDÜZ, Çiğdem; Kutukcu, Servet

doi:10.53570/jnt.1177525

Soft $A$-Metric Spaces

Hande POŞUL, (Kilis 7 Aralık Üniversitesi, Fen Fakültesi Matematik Bölümü, Kilis, Türkiye)

Çiğdem GÜNDÜZ, (Kocaeli Üniversitesi, Fen Edebiyat Fakültesi Matematik Bölümü, Kocaeli, Türkiye)

Servet Kutukcu (Ondokuz Mayıs Üniversitesi, Fen Fakültesi, Matematik Bölümü, Samsun, Türkiye)

Journal of New Theory

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Yıl: 2022 Cilt: Sayı: 41 Sayfa Aralığı: 70 - 81 Metin Dili: İngilizce DOI: 10.53570/jnt.1177525 İndeks Tarihi: 26-01-2023

Soft $A$-Metric Spaces

Öz:

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.

Anahtar Kelime: Soft metric A-metric soft A-metric

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA	POŞUL H, GÜNDÜZ Ç, Kutukcu S (2022). Soft $A$-Metric Spaces. , 70 - 81. 10.53570/jnt.1177525
Chicago	POŞUL HANDE,GÜNDÜZ Çiğdem,Kutukcu Servet Soft $A$-Metric Spaces. (2022): 70 - 81. 10.53570/jnt.1177525
MLA	POŞUL HANDE,GÜNDÜZ Çiğdem,Kutukcu Servet Soft $A$-Metric Spaces. , 2022, ss.70 - 81. 10.53570/jnt.1177525
AMA	POŞUL H,GÜNDÜZ Ç,Kutukcu S Soft $A$-Metric Spaces. . 2022; 70 - 81. 10.53570/jnt.1177525
Vancouver	POŞUL H,GÜNDÜZ Ç,Kutukcu S Soft $A$-Metric Spaces. . 2022; 70 - 81. 10.53570/jnt.1177525
IEEE	POŞUL H,GÜNDÜZ Ç,Kutukcu S "Soft $A$-Metric Spaces." , ss.70 - 81, 2022. 10.53570/jnt.1177525
ISNAD	POŞUL, HANDE vd. "Soft $A$-Metric Spaces". (2022), 70-81. https://doi.org/10.53570/jnt.1177525

APA	POŞUL H, GÜNDÜZ Ç, Kutukcu S (2022). Soft $A$-Metric Spaces. Journal of New Theory, (41), 70 - 81. 10.53570/jnt.1177525
Chicago	POŞUL HANDE,GÜNDÜZ Çiğdem,Kutukcu Servet Soft $A$-Metric Spaces. Journal of New Theory , no.41 (2022): 70 - 81. 10.53570/jnt.1177525
MLA	POŞUL HANDE,GÜNDÜZ Çiğdem,Kutukcu Servet Soft $A$-Metric Spaces. Journal of New Theory, vol., no.41, 2022, ss.70 - 81. 10.53570/jnt.1177525
AMA	POŞUL H,GÜNDÜZ Ç,Kutukcu S Soft $A$-Metric Spaces. Journal of New Theory. 2022; (41): 70 - 81. 10.53570/jnt.1177525
Vancouver	POŞUL H,GÜNDÜZ Ç,Kutukcu S Soft $A$-Metric Spaces. Journal of New Theory. 2022; (41): 70 - 81. 10.53570/jnt.1177525
IEEE	POŞUL H,GÜNDÜZ Ç,Kutukcu S "Soft $A$-Metric Spaces." Journal of New Theory, , ss.70 - 81, 2022. 10.53570/jnt.1177525
ISNAD	POŞUL, HANDE vd. "Soft $A$-Metric Spaces". Journal of New Theory 41 (2022), 70-81. https://doi.org/10.53570/jnt.1177525