文章基本信息

标题：Ideal convergence of double sequences in random 2-normed spaces
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作者：Syed Abdul Mohiuddine ; Abdullah Alotaibi ; Saud M Alsulami 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2012
卷号：2012
期号：1
页码：149
DOI：10.1186/1687-1847-2012-149
语种：English
出版社：Hindawi Publishing Corporation
摘要：Quite recently, Alotaibi and Mohiuddine (Adv. Differ. Equ. 2012:39, 2012) studied the idea of a random 2-normed space to determine some stability results concerning the cubic functional equation. In this paper, we define and study the concepts of I -convergence and I ∗ -convergence for double sequences in random 2-normed spaces and establish the relationship between these types of convergence, i.e., we show that I ∗ -convergence implies I -convergence in random 2-normed spaces. Furthermore, we have also demonstrated through an example that, in general, I -convergence does not imply I ∗ -convergence in random 2-normed spaces.
关键词：double sequences ; t -norm ; random 2-normed spaces ; ideal convergence