IDEAL CONVERGENCE IN FUZZY METRIC SPACES

Or A., Karabacak G.

Turkish World Mathematical Society Journal of Applied and Engineering Mathematics, vol.15, no.4, pp.892-903, 2025 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 15 Issue: 4
  • Publication Date: 2025
  • Journal Name: Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.892-903
  • Keywords: fuzzy metric spaces, K-Cauchy sequences, K-cluster points, K-convergence, K-limit points
  • Çanakkale Onsekiz Mart University Affiliated: Yes

Abstract

In this paper, the concepts of K−convergence, K-Cauchy sequences, K∗convergence, and K∗-Cauchy sequences in fuzzy metric spaces is proposed. Also, a few fundamental properties of these concepts are investigated. Then, the concepts of K-limit and K-cluster points of a sequence in these spaces is defined. Afterwards, some of their basic properties is examined. Finally, the need for further research is discussed.