Abel Statistical Delta quasi Cauchy Sequences in Metric 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: 10.1063/5.0042245
- Basıldığı Şehir: İstanbul
- Basıldığı Ülke: Türkiye
- Anahtar Kelimeler: Abel statistical convergence, Continuity, Quasi-cauchy sequences, Summability
- Maltepe Üniversitesi Adresli: Evet
Özet
In this paper, we investigate the concept of Abel statistical delta ward compactness and Abel statistical delta ward continuity in metric spaces. A function f defined on a metric space X into X is called Abel statistically delta ward continuous it preserves Abel statistical delta quasi Cauchy sequences, where a sequence (xk) of points in X is called Abel statistically delta quasi Cauchy if limx→1-(1-x)_k:|d(xk+2,xk+1)-d(xk+1,xk )|≥ϵ xk = 0 for every ϵ > 0, Some other types of compactnesses are also studied and interesting results are obtained.