FUZZY STABILITY OF A FUNCTIONAL EQUATION RELATED TO INNER PRODUCT SPACES

被引：0
作者：
Jang, Sun Young [2 ]
Park, Choonkil [1 ]
机构：
[1] Hanyang Univ, Res Inst Nat Sci, Dept Math, Seoul 133791, South Korea
[2] Univ Ulsan, Dept Math, Ulsan 680749, South Korea
来源：
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2011年 / 40卷 / 05期
基金：
新加坡国家研究基金会;
关键词：
Fuzzy Banach space; Functional equation related to inner product space; Generalized Hyers-Ulam stability;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The fuzzy stability problems for the Cauchy quadratic functional equation and the Jensen quadratic functional equation in fuzzy Banach spaces have been investigated by Moslehian et al. Th. M. Rassias introduced the following equality Sigma(m)(i,j=1) parallel to xi - xj parallel to(2) = 2m Sigma(m)(i=1) parallel to x(i)parallel to(2), Sigma(m)(i=1) x(i) = 0, for a fixed integer m >= 3. By the above equality, we define the following functional equation (0.1) Sigma(m)(i,j=1) f(x(i) - x(j)) = 2m Sigma(m)(i=1) f(x(i)), Sigma(m)(i=1) x(i) = 0 In this paper, we prove the generalized Hyers-Ulam stability of the functional equation (0.1) in fuzzy Banach spaces.
引用
收藏
页码：711 / 723
页数：13
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