New types of continuity in 2-normed spaces
Filomat, cilt.30, sa.3, ss.525-532, 2016 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 30 Sayı: 3
- Basım Tarihi: 2016
- Doi Numarası: 10.2298/fil1603525c
- Dergi Adı: Filomat
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.525-532
- Anahtar Kelimeler: Continuity, Quasi-Cauchy sequences, Statistical convergence
- Maltepe Üniversitesi Adresli: Evet
Özet
A sequence (xn) of points in a 2-normed space X is statistically quasi-Cauchy if the sequence of difference between successive terms statistically converges to 0. In this paper we mainly study statistical ward continuity, where a function f defined on a subset E of X is statistically ward continuous if it preserves statistically quasi-Cauchy sequences of points in E. Some other types of continuity are also discussed, and interesting results related to these kinds of continuity are obtained in 2-normed space setting.