APPROXIMATION OF A CAUCHY-JENSEN ADDITIVE FUNCTIONAL EQUATION IN NON-ARCHIMEDEAN NORMED SPACES

被引：0

作者：

Hassan Azadi Kenary ^{[1
]}

机构：

[1] Department of Mathematics,College of Sciences,Yasouj University,Yasouj 75914-353,Iran

来源：

ActaMathematicaScientia | 2012年 / 32卷 / 06期

关键词：

Hyers-Ulam stability; Cauchy-Jensen additive functional equation; fixed point; non-Archimedean normed spaces;

D O I：

暂无

中图分类号：

O174 [函数论]; O177.91 [非线性泛函分析];

学科分类号：

070104 ;

摘要：

Using the fixed point and direct methods,we prove the Hyers-Ulam stability of the following Cauchy-Jensen additive functional equation 2f p i=1 xi + q j=1 yj + 2 d k=1 zk 2 = p i=1 f(xi) + q j=1 f(yj) + 2 d k=1 f(zk),where p,q,d are integers greater than 1,in non-Archimedean normed spaces.

引用

页码：2247 / 2258

页数：12

共 8 条

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