On the Stability of a General Mixed Additive-Cubic Functional Equation in Random Normed Spaces

被引：15

作者：

Xu, Tian Zhou ^{[1
]}

Rassias, John Michael ^{[2
]}

Xu, Wan Xin ^{[3
]}

机构：

[1] Beijing Inst Technol, Sch Sci, Dept Math, Beijing 100081, Peoples R China

[2] Univ Athens, Sect Math & Informat, Pedag Dept EE, Athens 15342, Greece

[3] Univ Elect Sci & Technol China, Sch Comp & Informat Engn, Chengdu 611731, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2010年

基金：

中国国家自然科学基金;

关键词：

HYERS-ULAM STABILITY;

D O I：

10.1155/2010/328473

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 additive-cubic equation f(kx + y) + f(kx - y) = kf(x + y) + kf(x - y) + 2f(kx) - 2kf(x) in the setting of random normed spaces.

引用

页数：16

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