Non-Archimedean stability of a quadratic functional equation

被引：0
|
作者：
Kenary H.A. [1 ]
Cho Y.J. [2 ]
机构：
[1] Department of Mathematics, College of Science, Yasouj University, Yasouj
[2] Department of Mathematics Education and RINS, Gyeongsang National University, Chinju
来源：
ANNALI DELL'UNIVERSITA' DI FERRARA | 2013年 / 59卷 / 2期
关键词：
Hyers-Ulam stability; Non-Archimedean normed space; p-adic field; quadratic functional equation;
D O I：
10.1007/s11565-012-0170-8
中图分类号：
学科分类号：
摘要：
Recently the Hyers-Ulam stability of the quadratic functional equation f(kx+y)+f(kx+σ (y))- 2k2 f(x)-2f(y)=0 where σ is an involution of the normed space E and k is a fixed positive integer greater that 1, has been proved in the earlier work. In this paper, using fixed point and direct methods, we prove the Hyers-Ulam stability of the above functional equation in non-Archimedean normed spaces. © 2012 Università degli Studi di Ferrara.
引用
收藏
页码：319 / 330
页数：11
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