The properties of functional inclusions and Hyers-Ulam stability

被引：24
|
作者：
Piszczek, Magdalena [1 ]
机构：
[1] Pedag Univ, Inst Math, PL-30084 Krakow, Poland
来源：
AEQUATIONES MATHEMATICAE | 2013年 / 85卷 / 1-2期
关键词：
Stability of functional equation; set-valued map; selection;
D O I：
10.1007/s00010-012-0119-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that a set-valued function satisfying some functional inclusions admits, in appropriate conditions, a unique selection satisfying the corresponding functional equation. As a consequence we obtain the result on the Hyers-Ulam stability of that functional equation.
引用
收藏
页码：111 / 118
页数：8
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