On the stability of a cubic functional equation in random 2-normed spaces

被引：19
|
作者：
Alotaibi, Abdullah [1 ]
Mohiuddine, Syed Abdul [1 ]
机构：
[1] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2012年
关键词：
distribution function; t-norm; triangle function; random 2-normed space; cubic functional equation; Hyers-Ulam-Rassias stability; PROBABILISTIC NORMED SPACES; IDEAL CONVERGENCE; APPROXIMATION; SEQUENCES;
D O I：
10.1186/1687-1847-2012-39
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we propose to determine some stability results for the functional equation of cubic in random 2-normed spaces which seems to be a quite new and interesting idea. Also, we define the notion of continuity, approximately and conditional cubic mapping in random 2-normed spaces and prove some interesting results.
引用
收藏
页码：1 / 10
页数：10
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