Hyers-Ulam stability of additive set-valued functional equations

被引：48
作者：
Lu, Gang [2 ]
Park, Choonkil [1 ]
机构：
[1] Hanyang Univ, Res Inst Nat Sci, Dept Math, Seoul 133791, South Korea
[2] Chungnam Natl Univ, Dept Math, Taejon 305764, South Korea
来源：
APPLIED MATHEMATICS LETTERS | 2011年 / 24卷 / 08期
关键词：
Hyers-Ulam stability; Additive set-valued functional equation; Closed and convex subset; Cone; BANACH-SPACES; EQUILIBRIUM; EXISTENCE; MAPPINGS;
D O I：
10.1016/j.aml.2011.02.024
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we define the following additive set-valued functional equations f(alpha chi + beta y) = rf (chi) sf (y), (1) f(x + y + z) = 2f (x + y/2) + f(z) (2) for some real numbers alpha > 0, beta > 0, r, s is an element of R with alpha + beta = r + s not equal 1, and prove the Hyers-Ulam stability of the above additive set-valued functional equations. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1312 / 1316
页数：5
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