Fuzzy Stability of Jensen-Type Quadratic Functional Equations

被引：8
作者：
Jang, Sun-Young [4 ]
Lee, Jung Rye [3 ]
Park, Choonkil [2 ]
Shin, Dong Yun [1 ]
机构：
[1] Univ Seoul, Dept Math, Seoul 130743, South Korea
[2] Hanyang Univ, Dept Math, Seoul 133791, South Korea
[3] Daejin Univ, Dept Math, Kyeonggi 487711, South Korea
[4] Univ Ulsan, Dept Math, Ulsan 680749, South Korea
来源：
ABSTRACT AND APPLIED ANALYSIS | 2009年
基金：
新加坡国家研究基金会;
关键词：
APPROXIMATELY LINEAR MAPPINGS; GAVRUTA-RASSIAS STABILITY;
D O I：
10.1155/2009/535678
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove the generalized Hyers-Ulam stability of the following quadratic functional equations 2f((x + y)/2) + 2f((x - y)/2) = f(x) + f(y) and f(ax + ay) + (ax - ay) = 2a(2)f(x) = 2a(2)f(y) in fuzzy Banach spaces for a nonzero real number a with a not equal +/- 1/2. Copyright (C) 2009 Sun-Young Jang et al.
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页数：17
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