Generalized Hyers-Ulam Stability of General Cubic Functional Equation in Random Normed Spaces

被引：5
|
作者：
Kim, Seong Sik [1 ]
Rassias, John Michael [2 ]
Hussain, Nawab [3 ]
Cho, Yeol Je [3 ,4 ,5 ]
机构：
[1] Dong Eui Univ, Dept Math, Busan 614714, South Korea
[2] Natl & Kapodistrian Univ Athens, Sect Math & Informat, Pedag Dept EE, 4 Agamemnonos St, Athens 15342, Greece
[3] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia
[4] Gyeongsang Natl Univ, Dept Math Educ, Jinju 660701, South Korea
[5] Gyeongsang Natl Univ, RINS, Jinju 660701, South Korea
来源：
FILOMAT | 2016年 / 30卷 / 01期
基金：
新加坡国家研究基金会;
关键词：
Generalized Hyers-Ulam stability; General cubic functional equation; Random normed spaces;
D O I：
10.2298/FIL1601089K
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the generalized Hyers-Ulam stability of a general cubic functional equation: f(x + ky) - kf(x + y) + kf(x - y) - f(x - ky) = 2k(k(2) - 1)f(y) for fixed k is an element of Z(+) with k >= 2 in random normed spaces.
引用
收藏
页码：89 / 98
页数：10
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