STABILITY OF CAUCHY ADDITIVE FUNCTIONAL EQUATION IN FUZZY BANACH SPACES

被引：8

作者：

Kim, Hark-Mahn ^{[1
]}

Chang, Ick-Soon ^{[1
]}

Son, Eunyoung ^{[1
]}

机构：

[1] Chungnam Natl Univ, Dept Math, Taejon 305764, South Korea

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2013年 / 16卷 / 04期

基金：

新加坡国家研究基金会;

关键词：

Fuzzy Banach space; Cauchy additive functional equation; Hyers-Ulam stability; fixed point alternative;

D O I：

10.7153/mia-16-87

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we prove the generalized Hyers-Ulam stability of the following Cauchy additive functional equation f(x-y/n + z) + f(y-z/n + x) + f(z-x/n + y ) = f(x + y + z) in fuzzy Banach spaces for any fixed nonzero integer n.

引用

页码：1123 / 1136

页数：14

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