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

共 29 条

[1] Aczel J., 1989, ENCY MATH APPL, V31
[2] [Anonymous], 2002, HDB MEASURE THEORY
[3] [Anonymous], PREPRINT
[4] [Anonymous], 1940, PROBLEMS MODERN MATH
[5] [Anonymous], ZESZYTY NAUKOWE
[6] [Anonymous], CORE EQUILIBRIA LARG
[7] [Anonymous], 1998, Stability of Functional Equations in Several Variables
[8] Aoki T., 1950, J MATH SOC JAPAN, V2, P64, DOI [10.2969/jmsj/00210064, DOI 10.2969/JMSJ/00210064]
[9] EXISTENCE OF AN EQUILIBRIUM FOR A COMPETITIVE ECONOMY
Arrow, Kenneth J.
Debreu, Gerard
[J]. ECONOMETRICA, 1954, 22 (03) : 265 - 290
[10] Aubin J.P., 1990, SET VALUED ANAL, DOI 10.1007/978-0-8176-4848-0

← 1 2 3 →