Functional inequalities in non-Archimedean normed spaces

被引：3
|
作者：
Park, Choonkil [1 ]
机构：
[1] Hanyang Univ, Res Inst Nat Sci, Seoul 133791, South Korea
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2015年 / 31卷 / 03期
基金：
新加坡国家研究基金会;
关键词：
Jordan-von Neumann functional equation; non-Archimedean normed space; Banach space; Hyers-Ulam stability; functional inequality; STABILITY; EQUATIONS; HYERS;
D O I：
10.1007/s10114-015-4278-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce an additive functional inequality and a quadratic functional inequality in normed spaces, and prove the Hyers-Ulam stability of the functional inequalities in Banach spaces. Furthermore, we introduce an additive functional inequality and a quadratic functional inequality in non-Archimedean normed spaces, and prove the Hyers-Ulam stability of the functional inequalities in non-Archimedean Banach spaces.
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页码：353 / 366
页数：14
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