Ideal convergent function sequences in random 2-normed spaces

Savaş E., GÜRDAL M.

Filomat, cilt.30, sa.3, ss.557-567, 2016 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 30 Sayı: 3
  • Basım Tarihi: 2016
  • Doi Numarası: 10.2298/fil1603557s
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.557-567
  • Anahtar Kelimeler: Filter, I-convergence, Ideal, Random 2-normed space, Sequences of functions
  • Uşak Üniversitesi Adresli: Hayır

Özet

In the present paper we are concerned with I-convergence of sequences of functions in random 2-normed spaces. Particularly, following the line of recent work of Karakaya et al. [23], we introduce the concepts of ideal uniform convergence and ideal pointwise convergence in the topology induced by random 2-normed spaces, and give some basic properties of these concepts.