Hyers-Ulam stability of the Cauchy functional equation on square-symmetric groupoids

被引：0

作者：

Páles, Z ^{[1
]}

机构：

[1] Univ Debrecen, Inst Math & Informat, H-4010 Debrecen, Hungary

来源：

PUBLICATIONES MATHEMATICAE-DEBRECEN | 2001年 / 58卷 / 04期

关键词：

Hyers-Ulam stability; Cauchy functional equation; square-symmetric groupoid;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The stability of the functional equation f(x o y)=f(x) * f(y) (x, y epsilon X) is investigated, where f : X --> Y and o, * are square-symmetric operations on the sets X and Y, respectively. The results presented include and generalize the classical theorem of Hyers obtained on the stability of the Cauchy functional equation in 1941.

引用

页码：651 / 666

页数：16

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