On the stability of a generalization of Jensen functional equation

被引：2

作者：

Almahalebi, M. ^{[1
]}

机构：

[1] Ibn Tofail Univ, Coll Sci, Dept Math, Kenitra, Morocco

来源：

ACTA MATHEMATICA HUNGARICA | 2018年 / 154卷 / 01期

关键词：

stability; hyperstability; Jensen functional equation; fixed point method; Banach space; FIXED-POINT APPROACH; HYPERSTABILITY; SPACES;

D O I：

10.1007/s10474-017-0781-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using the fixed point method, we investigate the stability of a generalization of Jensen functional equation Sigma(n-1)(k=0) f(x + b(k)y) - nf(x), where n is an element of N-2, b(k) = exp(2i pi k/n) for 0 <= k <= n - 1, in Banach spaces. Also, we prove the hyperstability results of this equation by the fixed point method.

引用

页码：187 / 198

页数：12

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