Double sequences with ideal convergence in fuzzy metric spaces
AIMS Mathematics, cilt.8, sa.11, ss.28090-28104, 2023 (SCI-Expanded, Scopus)
- 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.