Hyers-Ulam stability of a generalized additive set-valued functional equation

被引：8
|
作者：
Jang, Sun Young [1 ]
Park, Choonkil [2 ]
Cho, Young [3 ]
机构：
[1] Univ Ulsan, Dept Math, Ulsan 680749, South Korea
[2] Hanyang Univ, Res Inst Nat Sci, Dept Math, Seoul 133791, South Korea
[3] Ulsan Coll, Fac Elect & Elect Engn, Ulsan 680749, South Korea
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2013年
基金：
新加坡国家研究基金会;
关键词：
Hyers-Ulam stability; generalized additive set-valued functional equation; closed and convex set; cone; EQUILIBRIUM; EXISTENCE;
D O I：
10.1186/1029-242X-2013-101
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we define a generalized additive set-valued functional equation, which is related to the following generalized additive functional equation: f(x(1) + ... + x(l)) = (l-1)f(x(1) + ... + x(l-1)/l-1) + f(x(l)) for a fixed integer l with l > 1, and prove the Hyers-Ulam stability of the generalized additive set-valued functional equation.
引用
收藏
页码：1 / 6
页数：6
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