Ward continuity in 2-normed spaces
Filomat, cilt.29, sa.7, ss.1507-1513, 2015 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 29 Sayı: 7
- Basım Tarihi: 2015
- Doi Numarası: 10.2298/fil1507507e
- Dergi Adı: Filomat
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.1507-1513
- Anahtar Kelimeler: Continuity, Quasi-Cauchy sequences, Sequences, Series, Summability
- Maltepe Üniversitesi Adresli: Evet
Özet
In this paper, we introduce and investigate the concept of ward continuity in 2-normed spaces. A function f defined on a 2-normed space (X,||., .||) is ward continuous if it preserves quasi-Cauchy sequences, where a sequence (xn) of points in X is called quasi-Cauchy if (Formula presented) for every z ∈ X. Some other kinds of continuities are also introduced, and interesting theorems are proved in 2-normed spaces.