论文信息 - A variation on strong lacunary quasi-Cauchy sequences in 2-normed spaces

A variation on strong lacunary quasi-Cauchy sequences in 2-normed spaces

In this paper, we introduce and investigate ideal strong lacunary ward continuity in 2-normed spaces. A function f on a subset A of a 2-normed space X into X is ideal strongly lacunary ward continuous if it preserves ideal strong lacunary quasi-Cauchy sequences of points in A. We also studied some other kinds of continuities.

S. Ersan | H. Cakalli

[1] S. Ersan,et al. Ward Continuity in 2-Normed Spaces , 2015 .

[2] H. Cakalli,et al. New Type Continuities via Abel Convergence , 2014, TheScientificWorldJournal.

[3] B. Hazarika,et al. Lacunary I-Convergent Sequences , 2012 .

[4] B. Hazarika,et al. Ideal quasi-Cauchy sequences , 2012, 1203.2003.

[5] Pratulananda Das,et al. On generalizations of certain summability methods using ideals , 2011, Appl. Math. Lett..

[6] Hüseyin Çakalli,et al. Cone normed spaces and weighted means , 2010, Math. Comput. Model..

[7] Hüseyin Çakalli,et al. Sequential definitions of compactness , 2008, Appl. Math. Lett..

[8] William H. Ruckle,et al. Generalized Statistical Convergence and Convergence Free Spaces , 2000 .

[9] Allen R. Freedman,et al. SOME CESARO-TYPE SUMMABILITY SPACES , 1978 .

[10] H. Cakalli. ${N}_{\theta }$-Ward Continuity , 2012 .

[11] Y. Cho,et al. GEOMETRY OF LINEAR 2-NORMED SPACES , 2007 .

[12] S. Gähler,et al. 2-metrische Räume und ihre topologische Struktur†‡‡ , 1963 .

[13] B. Vulich. On a Generalized Notion of Convergence in a Banach Space , 1937 .