IDEAL CONVERGENCE IN FUZZY METRIC SPACES

Or A., Karabacak G.

Turkish World Mathematical Society Journal of Applied and Engineering Mathematics, cilt.15, sa.4, ss.892-903, 2025 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 15 Sayı: 4
  • Basım Tarihi: 2025
  • Dergi Adı: Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.892-903
  • Anahtar Kelimeler: fuzzy metric spaces, K-Cauchy sequences, K-cluster points, K-convergence, K-limit points
  • Çanakkale Onsekiz Mart Üniversitesi Adresli: Evet

Özet

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.