On the stability of multi-additive mappings in non-Archimedean normed spaces

被引：1

作者：

Xu, Tian Zhou ^{[1
]}

Wang, Chun ^{[1
]}

Rassias, Themistocles M. ^{[2
]}

机构：

[1] Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China

[2] Natl Tech Univ Athens, Dept Math, Athens 15780, Greece

来源：

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2015年 / 18卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Stability; Multi-additive mapping; Non-Archimedean normed space; Fixed point; FUNCTIONAL-EQUATIONS; QUADRATIC MAPPINGS; JENSEN;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We establish some new stability results concerning multi-additive functional equation in non-Archimedean normed spaces. The results improve some recent results. Some applications of our result will be illustrated. In particular, we will see that some results about stability of multi-additive mappings in real normed spaces are not valid in non-Archimedean normed spaces.

引用

页码：1102 / 1110

页数：9

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