On the Ulam stability of a quadratic set-valued functional equation

被引：5

作者：

Wang, Faxing ^{[1
]}

Shen, Yonghong ^{[2
]}

机构：

[1] Nanjing Univ Posts & Telecommun, Tongda Coll, Nanjing 210046, Jiangsu, Peoples R China

[2] Tianshui Normal Univ, Sch Math & Stat, Tianshui 741001, Peoples R China

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2014年 / 7卷 / 05期

关键词：

Ulam stability; Quadratic set-valued functional equation; Hausdorff distance; fixed point;

D O I：

10.22436/jnsa.007.05.06

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove the Ulam stability of the following set-valued functional equation by employing the direct method and the fixed point method, respectively, f(x - y + z/2) circle plus f(x + y - z/2) circle plus f(x + z) = 3f(x) circle plus 1/2f(y) circle plus 3/2f(z). (C)2014 All rights reserved.

引用

页码：359 / 367

页数：9

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