Abel statistical quasi Cauchy sequences in metric spaces

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Cakalli H.

3rd International Conference of Mathematical Sciences, ICMS 2019, İstanbul, Türkiye, 4 - 08 Eylül 2019, cilt.2183, (Tam Metin Bildiri)

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 2183
  • Doi Numarası: 10.1063/1.5136126
  • Basıldığı Şehir: İstanbul
  • Basıldığı Ülke: Türkiye
  • Anahtar Kelimeler: compactness, continuity, Sequences, series, summability
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Maltepe Üniversitesi Adresli: Evet

Özet

In this study, we investigate the concepts of Abel statistical convergence and Abel statistical quasi Cauchy sequences. A function f from a subset E of a metric space X into X is called Abel statistically ward continuous if it preserves Abel statistical quasi Cauchyness, where a sequence (xk) of point in E is called Abel statistically quasi Cauchy if limx→1-(1-x)ℓ'k:d(xk+1,xk)≥ϵxk=0 for every ϵ > 0. Some other types of continuities are also studied and interesting results are obtained.