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.
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页码：201 / 218
页数：18
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