The Jensen functional equation in non-Archimedean normed spaces

被引：9

作者：

Moslehian, Mohammad Sal ^{[1
,2
,3
]}

机构：

[1] Ferdowsi Univ Mashhad, Dept Pure Math, Mashhad 91775, Iran

[2] Ferdowsi Univ Mashhad, CEAAS, Mashhad 91775, Iran

[3] BMRG, Mashhad 91775, Iran

来源：

JOURNAL OF FUNCTION SPACES AND APPLICATIONS | 2009年 / 7卷 / 01期

关键词：

Stability; Jensen functional equation; asymptotic behavior; non-Archimedean normed space; ULAM-RASSIAS STABILITY; MAPPINGS;

D O I：

10.1155/2009/802032

中图分类号：

学科分类号：

摘要：

We investigate the Hyers-Ulam-Rassias stability of the Jensen functional equation in non-Archimedean normed spaces and study its asymptotic behavior in two directions: bounded and unbounded Jensen differences. In particular, we show that a mapping f between non-Archimedean spaces with f (0) = 0 is additive if and only if parallel to f (x +y)/2 - f(x) + f (y)/2 parallel to -> 0 as max {parallel to x parallel to, parallel to y parallel to} -> infinity.

引用

页码：13 / 24

页数：12

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