Hyers-Ulam-Rassias stability of the additive-quadratic mappings in non-Archimedean Banach spaces

被引：1

作者：

Park, C. ^{[1
]}

Kenary, H. Azadi ^{[2
]}

Rassias, T. M. ^{[3
]}

机构：

[1] Hanyang Univ, Dept Math, Seoul 133791, South Korea

[2] Univ Yasuj, Dept Math, Coll Sci, Yasuj 75914353, Iran

[3] Natl Tech Univ Athens, Dept Math, Athens 15780, Greece

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2012年

关键词：

Hyers-Ulam stability; fixed point method; non-Archimedean normed spaces; CAUCHY FUNCTIONAL-EQUATION;

D O I：

10.1186/1029-242X-2012-174

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using the fixed point and direct methods, we prove the generalized Hyers-Ulam stability of the following additive-quadratic functional equation in non-Archimedean normed spaces r[f(x + y + z/s) + f(x - y + z/s) + f(x + y - z/s) + f(-x + y + z/s)] = gamma f(x) + gamma f(y) + gamma f(z), where r, s, gamma are positive real numbers.

引用

页数：18

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