Double sequences with ideal convergence in fuzzy metric spaces

OR A.

AIMS Mathematics, vol.8, no.11, pp.28090-28104, 2023 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 8 Issue: 11
  • Publication Date: 2023
  • Doi Number: 10.3934/math.20231437
  • Journal Name: AIMS Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Directory of Open Access Journals
  • Page Numbers: pp.28090-28104
  • Keywords: double sequences, fuzzy metric space, ideal Cauchy sequence, ideal convergence, limit point
  • Çanakkale Onsekiz Mart University Affiliated: Yes

Abstract

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.