Strongly Lacunary Ward Continuity in 2-Normed Spaces

被引：10
作者：
Cakalli, Huseyin [1 ]
Ersan, Sibel [2 ]
机构：
[1] Maltepe Univ, Dept Math, TR-34857 Istanbul, Turkey
[2] Maltepe Univ, Fac Engn & Nat Sci, TR-34857 Istanbul, Turkey
来源：
SCIENTIFIC WORLD JOURNAL | 2014年
关键词：
CONVERGENCE; SEQUENCES;
D O I：
10.1155/2014/479679
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
A function.. defined on a subset.. of a 2-normed space.. is strongly lacunary ward continuous if it preserves strongly lacunary quasi-Cauchy sequences of points in E; that is, (f(x(k))) is a strongly lacunary quasi-Cauchy sequence whenever (x(k)) is strongly lacunary quasi-Cauchy. In this paper, not only strongly lacunary ward continuity, but also some other kinds of continuities are investigated in 2-normed spaces.
引用
收藏
页数：5
相关论文
共 22 条
[1]   Quasi-Cauchy Sequences [J].
Burton, David ;
Coleman, John .
AMERICAN MATHEMATICAL MONTHLY, 2010, 117 (04) :328-333
[2]  
Cakalli H., SEQUENCES 2 NORMED S
[3]   A Study on Nθ-Quasi-Cauchy Sequences [J].
Cakalli, Huseyin ;
Kaplan, Huseyin .
ABSTRACT AND APPLIED ANALYSIS, 2013,
[4]   Nθ-Ward Continuity [J].
Cakalli, Huseyin .
ABSTRACT AND APPLIED ANALYSIS, 2012,
[5]   New Types of Continuities [J].
Canak, Ibrahim ;
Dik, Mehmet .
ABSTRACT AND APPLIED ANALYSIS, 2010,
[6]  
FREEDMAN AR, 1978, P LOND MATH SOC, V37, P508
[7]  
FREESE R., 2001, Geometry of Linear 2-normed Spaces
[8]  
GAHLER S, 1965, MATH NACHR, V28, P235
[9]  
Gahler S., 1964, Math. Nachr., V28, P1, DOI [10.1002/mana.19640280102, DOI 10.1002/MANA.19640280102]
[10]  
Gahler S., 1964, Math. Nachr., V26, P115, DOI [DOI 10.1002/MANA.19630260109, 10.1002/mana.19630260109]
123