Statistically quasi Cauchy sequences in abstract metric spaces
Küçük Resim Yok
Tarih
2019
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Amer Inst Physics
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this extended abstract, we introduce a concept of statistically quasi-Cauchyness of a sequence in X in the sense that a sequence (x(k)) is statistically quasi -Cauchy in X if lim(n ->infinity) 1/n vertical bar{k <= n : d(x(k+1), x(k)) - c is an element of P}vertical bar for each c is an element of P where (X, d) is a cone metric space, and p denotes interior of a cone P of X. It turns out that a function f from a totally bounded subset A of X into X is uniformly continuous if f preserves statistically quasi-Cauchy sequences.
Açıklama
3rd International Conference of Mathematical Sciences (ICMS) -- SEP 04-08, 2019 -- Maltepe Univ, Istanbul, TURKEY
Anahtar Kelimeler
Sequences, Series, Cone Metric, Compactness, Continuity
Kaynak
Third International Conference of Mathematical Sciences (Icms 2019)
WoS Q Değeri
N/A
Scopus Q Değeri
N/A
Cilt
2183
