Stability of additivity and fixed point methods

被引：41
作者：
Brzdek, Janusz [1 ]
机构：
[1] Pedag Univ, Dept Math, PL-30084 Krakow, Poland
来源：
FIXED POINT THEORY AND APPLICATIONS | 2013年
关键词：
additivity; fixed point; Ulam stability; HYERS-ULAM STABILITY; FUNCTIONAL-EQUATIONS; MAPPINGS;
D O I：
10.1186/1687-1812-2013-285
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that the fixed point methods allow to investigate Ulam's type stability of additivity quite efficiently and precisely. Using them we generalize, extend and complement some earlier classical results concerning the stability of the additive Cauchy equation.
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页数：9
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