A variation on strongly lacunary ward continuity
Analele Stiintifice ale Universitatii Al I Cuza din Iasi - Matematica, cilt.3, sa.F2, ss.745-755, 2016 (Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 3 Sayı: F2
- Basım Tarihi: 2016
- Dergi Adı: Analele Stiintifice ale Universitatii Al I Cuza din Iasi - Matematica
- Derginin Tarandığı İndeksler: Scopus
- Sayfa Sayıları: ss.745-755
- Anahtar Kelimeler: Cone normed spaces, Continuity, Quasi-cauchy sequences, Strongly lacunary convergence
- Maltepe Üniversitesi Adresli: Evet
Özet
A function f defined on a subset A of a cone normed space X is strongly lacunary ward continuous if it preserves strongly lacunary quasi-Cauchy sequences of points in A; that is, (f (xk)) is a strongly lacunary quasi-Cauchy sequence whenever (xk) is strongly lacunary quasi-Cauchy. In this paper, not only strongly lacunary ward continuity, but also some other kinds of continuities are investigated in cone normed spaces.