Soft $A$-Metric Spaces

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POŞUL H., GÜNDÜZ Ç., Kutukcu S.

Journal of New Theory, sa.41, ss.70-81, 2022 (Hakemli Dergi) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2022
  • Doi Numarası: 10.53570/jnt.1177525
  • Dergi Adı: Journal of New Theory
  • Derginin Tarandığı İndeksler: TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.70-81
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

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.