Lacunary ward continuity in 2-normed spaces
Filomat, cilt.29, sa.10, ss.2257-2263, 2015 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 29 Sayı: 10
- Basım Tarihi: 2015
- Doi Numarası: 10.2298/fil1510257c
- Dergi Adı: Filomat
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.2257-2263
- Anahtar Kelimeler: Continuity, Lacunary statistical convergence, Quasi-Cauchy sequences
- Maltepe Üniversitesi Adresli: Evet
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 (xk) of points in X is lacunary statistically quasi-Cauchy if (formula presented) for every positive real number ε and z ∈ X, and (kr) is an increasing sequence of positive integers such that k0 = 0 and hr= kr - kr-1→∞ as r →∞, ir= (kr-1, kr]. We investigate not only lacunary statistical ward continuity, but also some other kinds of continuities in 2-normed spaces.