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

页码：1 / 10

页数：10

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