More on Hyers' theorem

被引：1

作者：

Badora, Roman ^{[1
]}

Przebieracz, Barbara ^{[1
]}

Volkmann, Peter ^{[2
]}

机构：

[1] Univ Silesia, Inst Math, Ul Bankowa 14, PL-40007 Katowice, Poland

[2] KIT, Inst Anal, D-76128 Karlsruhe, Germany

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2017年 / 447卷 / 02期

关键词：

Cauchy equation; Ulam's type problem; Hyers' theorem; FIXED-POINT THEOREMS; FUNCTIONAL-EQUATIONS; ULAM STABILITY; NORMED SPACES;

D O I：

10.1016/j.jmaa.2016.10.063

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The first aim of this work is to present a version of Hyers' theorem which explains why in the other papers on Hyers' theorem there are the assumptions of completeness or compactness. The second purpose is to prove an analogue of Hyers' theorem in the case of mappings having values in topological groups. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：1116 / 1125

页数：10

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