Double sequences with ideal convergence in fuzzy metric spaces

OR A.

AIMS Mathematics, cilt.8, sa.11, ss.28090-28104, 2023 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 8 Sayı: 11
  • Basım Tarihi: 2023
  • Doi Numarası: 10.3934/math.20231437
  • Dergi Adı: AIMS Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Directory of Open Access Journals
  • Sayfa Sayıları: ss.28090-28104
  • Anahtar Kelimeler: double sequences, fuzzy metric space, ideal Cauchy sequence, ideal convergence, limit point
  • Çanakkale Onsekiz Mart Üniversitesi Adresli: Evet

Özet

We show ideal convergence (I-convergence), ideal Cauchy (I-Cauchy) sequences, I*-convergence and I*-Cauchy sequences for double sequences in fuzzy metric spaces. We define the I-limit and I-cluster points of a double sequence in these spaces. Afterward, we provide certain fundamental properties of the aspects. Lastly, we discuss whether the phenomena should be further investigated.