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

页码：1 / 6

页数：6

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