An n-dimensional cubic functional equation and its Hyers-Ulam stability

被引：2

作者：

Bodaghi, Abasalt ^{[1
]}

Pinelas, Sandra ^{[2
]}

Vediyappan, Govindan ^{[3
]}

Gunesekaran, Kokila ^{[4
]}

机构：

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

[2] Acad Militar, Dept Cie Ncias Exatas & Engn, Lisbon, Portugal

[3] Sri Vidya Mandir Arts & Sci Coll, Dept Math, Uthangarai 636902, Tamil Nadu, India

[4] Govt Arts & Sci Coll Men, Dept Math, Krishnagiri 635001, Tamil Nadu, India

来源：

JOURNAL OF ANALYSIS | 2020年 / 28卷 / 03期

关键词：

Cubic functional equation; Fixed point; Hyers-Ulam stability; Fuzzy normed space; 39B52; 39B72; 39B82; RASSIAS STABILITY;

D O I：

10.1007/s41478-019-00178-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we introduce and discuss the general solution of a new n-dimensional cubic functional equation. Furthermore, we establish the generalized Hyers-Ulam stability of this functional equation in fuzzy normed spaces using direct and fixed point approach.

引用

页码：663 / 682

页数：20

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