Lacunary statistical convergence on d - fuzzy normed space

Yapali R., Korkmaz E., Çinar M., ÇOŞKUN H.

Journal of Intelligent and Fuzzy Systems, cilt.46, sa.1, ss.1985-1993, 2024 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 46 Sayı: 1
  • Basım Tarihi: 2024
  • Doi Numarası: 10.3233/jifs-222695
  • Dergi Adı: Journal of Intelligent and Fuzzy Systems
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Business Source Elite, Business Source Premier, Communication Abstracts, Compendex, Computer & Applied Sciences, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.1985-1993
  • Anahtar Kelimeler: L-fuzzy normed space, lacunary double sequences, lacunary statistically convergence, lacunary statistical Cauchy, lacunary statistical boundedness
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

The idea of lacunary statistical convergence sequences, which is a development of statistical convergence, is examined and expanded in this study on Ⅎ - fuzzy normed spaces, which is a generalization of fuzzy spaces. On Ⅎ - fuzzy normed spaces, the definitions of lacunary statistical Cauchy and completeness, as well as associated theorems, are provided. The link between lacunary statistical Cauchyness and lacunary statistical boundedness with regard to Ⅎ - fuzzy norm is also shown.