ρ statistical ward continuity in metric spaces


Aral N. D., Cakalli H., Kandemir H. S.

8th International Conference of Mathematical Sciences, ICMS 2024, Hybrid, Istanbul, Türkiye, 11 - 15 Eylül 2024, cilt.3431, (Tam Metin Bildiri)

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 3431
  • Doi Numarası: 10.1063/5.0290647
  • Basıldığı Şehir: Hybrid, Istanbul
  • Basıldığı Ülke: Türkiye
  • Maltepe Üniversitesi Adresli: Evet

Özet

We investigate ρ-statistical quasi Cauchy sequences, and functions that preserves this kind of sequences, namely ward continuous functions in a metric space X. We obtain some relations between this kind of continuity and some other kinds of continuities. It turns out that any ρ-statistically ward continuous function on a ρ-statistically ward compact subset E of X is uniformly continuous.