A fixed point approach to the stability of additive-quadratic-quartic functional equations

被引：6

作者：

Bodaghi, Abasalt ^{[1
]}

Rassias, Themistocles Michael ^{[2
]}

Zivari-Kazempour, Abbas ^{[3
]}

机构：

[1] Islamic Azad Univ, Dept Math, Garmsar Branch, Garmsar, Iran

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

[3] Ayatollah Borujerdi Univ, Dept Math, Borujerd, Iran

来源：

INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS | 2020年 / 11卷 / 02期

关键词：

additive-quadratic-quartic functional equation; Hyers-Ulam stability; non-Archimedean normed space;

D O I：

10.22075/ijnaa.2019.17071.1905

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we introduce a class of the generalized mixed additive, quadratic and quartic functional equations and obtain their common solutions. We also investigate the stability of such modified functional equations in the non-Archimedean normed spaces by a fixed point method.

引用

页码：17 / 28

页数：12

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