Delta quasi Cauchy sequences in metric spaces
Küçük Resim Yok
Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Maltepe Üniversitesi
Erişim Hakkı
CC0 1.0 Universal
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
Özet
t. In this extended abstract, we introduce the concept of delta quasi Cauchy sequences in metric spaces. A function f defined on a subset of a metric space X to X is called delta ward continuous if it preserves delta quasi Cauchy sequences, where a sequence (xk) of points in X is called delta quasi Cauchy if limn??[d(xk+2, xk+1)?d(xk+1, xk)] = 0. A new type compactness in terms of ?-quasi Cauchy sequences, namely ?-ward compactness is also introduced, and some theorems related to ?-ward continuity and ?-ward compactness are obtained. Some other types of continuities are also discussed, and interesting results are obtained.
Açıklama
Anahtar Kelimeler
metric spaces, continuity, compactness, sequences
Kaynak
Fourth International Conference of Mathematical Sciences
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
Sayı
Künye
Çakallı, H. (2021). Delta quasi Cauchy sequences in metric spaces. Fourth International Conference of Mathematical Sciences, Maltepe Üniversitesi. s. 1-4.
