Lacunary Ward Continuity in 2-normed Spaces
Küçük Resim Yok
Tarih
2015
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
UNIV NIS, FAC SCI MATH
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we introduce lacunary statistical ward continuity in a 2-normed space. A function f defined on a subset E of a 2-normed space X is lacunary statistically ward continuous if it preserves lacunary statistically quasi-Cauchy sequences of points in E where a sequence (x(k)) of points in X is lacunary statistically quasi-Cauchy if lim(r ->infinity) 1/h(r) vertical bar{k is an element of I-r : parallel to x(k+1) - x(k), z parallel to >= epsilon}vertical bar = 0 for every positive real number epsilon and z 1/4 X, and (k(r)) is an increasing sequence of positive integers such that k(0) = 0 and h(r) = k(r) - k(r-1) -> infinity as r -> infinity, I-r = (k(r-1), k(r)]. We investigate not only lacunary statistical ward continuity, but also some other kinds of continuities in 2-normed spaces.
Açıklama
Anahtar Kelimeler
lacunary statistical convergence, quasi-Cauchy sequences, continuity
Kaynak
FILOMAT
WoS Q Değeri
Q3
Scopus Q Değeri
Q3
Cilt
29
Sayı
10
