Generalized statistically convergent sequences of functions in fuzzy 2-normed spaces

Savaş E., GÜRDAL M.

Journal of Intelligent and Fuzzy Systems, cilt.27, sa.4, ss.2067-2075, 2014 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 27 Sayı: 4
  • Basım Tarihi: 2014
  • Doi Numarası: 10.3233/ifs-141172
  • Dergi Adı: Journal of Intelligent and Fuzzy Systems
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2067-2075
  • Anahtar Kelimeler: fuzzy 2-normed space, the sequences of functions, λ-statistical convergence
  • Uşak Üniversitesi Adresli: Hayır

Özet

In this paper, we introduce a new type of convergence for a sequence of function, namely, λ-statistically convergent sequences of functions in fuzzy 2-normed space, which is a natural generalization of convergence in fuzzy 2-normed space. In particular, we introduce the concepts of uniform λ-statistical convergence and pointwise λ-statistical convergence in the topology induced by fuzzy 2-normed spaces, and give some basic properties of these concepts.