REMARKS ON THE STABILITY OF MONOMIAL FUNCTIONAL EQUATIONS

被引：0

作者：

Cadariu, Liviu ^{[1
]}

Radu, Viorel ^{[2
]}

机构：

[1] Politehn Univ Timisoara, Dept Math, Timisoara 300006, Romania

[2] W Univ Timisoara, Fac Math & Comp Sci, Timisoara 300223, Romania

来源：

FIXED POINT THEORY | 2007年 / 8卷 / 02期

关键词：

Monomial functional equation; fixed point; stability;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to prove the generalized stability in the Ulam-Hyers-Bourgin sense of the monomial equations, for functions from 2-divisible groups into complete beta-normed spaces. There is used a fixed point method, previously applied by the authors to some particular functional equations. A special case, the stability of type Aoki-Rassias is emphasized in section 3 and finally we give some (counter) examples in order to clarify the role of each of the control conditions.

引用

页码：201 / 218

页数：18

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