STABILITY OF CAUCHY ADDITIVE FUNCTIONAL EQUATION IN FUZZY BANACH SPACES

被引：7
|
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
收藏
页码：1123 / 1136
页数：14
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