Ideal Convergent Function Sequences in Random 2-Normed Spaces
FILOMAT, cilt.30, sa.3, ss.557-567, 2016 (SCI-Expanded, Scopus)
- 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: Ideal, filter, I-convergence, random 2-normed space, sequences of functions, LACUNARY STATISTICAL CONVERGENCE, I-CAUCHY SEQUENCES
- Süleyman Demirel Üniversitesi Adresli: Evet
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.