p-ward continuity in 2-normed spaces
Küçük Resim Yok
Tarih
2019
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
In this paper, the concept of a quasi-Cauchy sequence is generalized to a concept of a p-quasi-Cauchy sequence for any fixed positive integer p in 2-normed space X. Some interesting theorems related to p-ward continuity and uniform continuity are obtained. A sequence (xn) in a 2-normed space X is called p-quasiCauchy if limn??
xn+p ? xn, z
= 0 for each z ? X. It turns out that if a function f defined on a subset of X is uniformly continuous then f preserves p-quasi-Cauchy sequences for all positive integer p
xn+p ? xn, z
= 0 for each z ? X. It turns out that if a function f defined on a subset of X is uniformly continuous then f preserves p-quasi-Cauchy sequences for all positive integer p
Açıklama
Anahtar Kelimeler
Sequences, Series, Summability, Continuity, Compactness, 2-normed spaces
Kaynak
International Conference of Mathematical Sciences (ICMS 2019)
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Ersan, S. (2019). p-ward continuity in 2-normed spaces. International Conference of Mathematical Sciences (ICMS 2019). s. 86.
