Abel statistical quasi cauchy sequences in 2-normed spaces
4th International Conference of Mathematical Sciences, ICMS 2020, İstanbul, Türkiye, 17 - 21 Haziran 2020, cilt.2334, (Tam Metin Bildiri)
- Yayın Türü: Bildiri / Tam Metin Bildiri
- Cilt numarası: 2334
- Doi Numarası: 10.1063/5.0042174
- Basıldığı Şehir: İstanbul
- Basıldığı Ülke: Türkiye
- Maltepe Üniversitesi Adresli: Evet
Özet
In this paper, we investigate the concept of Abel statistical ward continuity in 2-normed spaces. A function f defined on a 2-normed space X into X is called Abel statistically ward continuous if it preserves Abel statistical quasi Cauchy sequences, where a sequence (xk) of points in X is called Abel statistically quasi Cauchy if limx→1-(1-x)∑k:||Δxk,z||≥ϵxk=0limx→1-(1-x)∑k:||Δxk,z||≥ϵxk=0 for every ϵ > 0 and z ∈ X, where Δxk = xk+1-xk for every k ∈ N. Some other types of compactness and continuities are also studied and interesting results are obtained.