Quasi Cauchy double sequences in metric spaces
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: 10.1063/5.0290219
- Basıldığı Şehir: Hybrid, Istanbul
- Basıldığı Ülke: Türkiye
- Maltepe Üniversitesi Adresli: Evet
Özet
We extend the notion of a quasi Cauchy double sequence to a metric space X, where a double sequence {xk,l} of points in X is called quasi-Cauchy if given a ϵ > 0 there exists an N â such that maxr,s = 1 and/or 0 {d(xk,l, xk+r, l+s)} < ϵ for k, l ≥ N. We study continuity type properties of factorable double functions defined in a double subset E × E of X2 into X, and obtain interesting results related to uniform continuity, sequential continuity, continuity, and a newly introduced type of continuity of factorable double functions defined on a double subset E × E of X2 into X.