Variation on Strongly Lacunary delta Ward Continuity in 2-normed Spaces
Küçük Resim Yok
Tarih
2020
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Soc Paranaense Matematica
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
A sequence (x(k)) of points in a subset E of a 2-normed space X is called strongly lacunary delta-quasi-Cauchy, or N-theta-delta-quasi-Cauchy if (Delta x(k)) is N-theta-convergent to 0, that is lim(r ->infinity) 1/h(r) Sigma(k is an element of Ir) parallel to Delta(2) x(k), z parallel to = 0 for every fixed z is an element of X. A function defined on a subset E of X is called strongly lacunary delta-ward continuous if it preserves N-theta-delta-quasi-Cauchy sequences, i.e. (f(x(k))) is an N-theta-delta-quasi-Cauchy sequence whenever (x(k)) is. In this study we obtain some theorems related to strongly lacunary delta-quasi-Cauchy sequences.
Açıklama
Anahtar Kelimeler
Strongly Lacunary Ward Continuity, Quasi-Cauchy Sequences, Continuity, 2-Normed Space
Kaynak
Boletim Sociedade Paranaense De Matematica
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
38
Sayı
7
