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

页码：89 / 98

页数：10

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