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

Advances in Difference Equations

Abdullah Alotaibi¹  Syed Abdul Mohiuddine¹ 

[1] Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia

关键词: distribution function;    t-norm;    triangle function;    random 2-normed space;    cubic functional equation;    Hyers-Ulam-Rassias stability;   

DOI  :  10.1186/1687-1847-2012-39

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY