Stability of mixed additive-quadratic Jensen type functional equation in various spaces

被引:18
作者
Kenary, Hassan Azadi [3 ]
Cho, Yeol Je [1 ,2 ]
机构
[1] Gyeongsang Natl Univ, Dept Math Educ, Chinju 660701, South Korea
[2] Gyeongsang Natl Univ, RINS, Chinju 660701, South Korea
[3] Univ Yasuj, Coll Sci, Dept Math, Yasuj 75914353, Iran
关键词
Generalized Hyers-Ulam stability; Random normed space; Non-Archimedean normed spaces; Fixed point method; ULAM-RASSIAS STABILITY; MAPPINGS;
D O I
10.1016/j.camwa.2011.03.024
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we prove the generalized Hyers-Ulam stability of the following mixed additive-quadratic functional equation: 2f(x+y/2) + f(x-y/2) + f(y-x/2) = f(x) + f(y) in various spaces. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码:2704 / 2724
页数:21
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