Strongly lacunary δ -quasi-Cauchy sequences in 2-normed spaces
International Conference of Mathematical Sciences 2018, ICMS 2018, İstanbul, Türkiye, 31 Temmuz - 06 Ağustos 2018, cilt.2086, (Tam Metin Bildiri)
- Yayın Türü: Bildiri / Tam Metin Bildiri
- Cilt numarası: 2086
- Doi Numarası: 10.1063/1.5095098
- Basıldığı Şehir: İstanbul
- Basıldığı Ülke: Türkiye
- Anahtar Kelimeler: 2-normed space, continuity, quasi-Cauchy sequences, Strongly lacunary ward continuity
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Maltepe Üniversitesi Adresli: Evet
Özet
A sequence (x k ) of points in a subset E of a 2-normed space X is called strongly lacunary δ-quasi-Cauchy, or N θ -δ-quasi-Cauchy if (Δx k ) is N θ -convergent to 0, that is limr→81hr?k?Ir||Δ2xk,z||=0 for every fixed z ? X. A function defined on a subset E of X is called strongly lacunary δ-ward continuous if it preserves N θ -δ-quasi-Cauchy sequences, i.e. (f (x k )) is an N θ -δ-quasi-Cauchy sequence whenever (x k ) is. In this study we obtain some theorems related to strongly lacunary δ-quasi-Cauchy sequences.