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

被引：3

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

共 30 条

[21] ON THE STABILITY OF A GENERALIZED CUBIC FUNCTIONAL EQUATION [J].

Koh, Heejeong ;

Kang, Dongseung .

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2008, 45 (04) :739-748

[22] On generalized statistical convergence in intuitionistic fuzzy normed space [J].

Mohiuddine, S. A. ;

Lohani, Q. M. Danish .

CHAOS SOLITONS & FRACTALS, 2009, 42 (03) :1731-1737

[23] On stability of a cubic functional equation in intuitionistic fuzzy normed spaces [J].

Mursaleen, M. ;

Mohiuddine, S. A. .

CHAOS SOLITONS & FRACTALS, 2009, 42 (05) :2997-3005

[24]

Najati A, 2007, TURK J MATH, V31, P395

[25]

Peeva K., 2004, Fuzzy Relational Calculus: Theory, Applications and Software

[26]

Rassias J.M., 2001, Glasnik matematicki, V36, P63

[27] ON APPROXIMATION OF APPROXIMATELY LINEAR MAPPINGS BY LINEAR MAPPINGS [J].

RASSIAS, JM .

JOURNAL OF FUNCTIONAL ANALYSIS, 1982, 46 (01) :126-130

[28] STABILITY OF LINEAR MAPPING IN BANACH-SPACES [J].

RASSIAS, TM .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1978, 72 (02) :297-280

[29] Approximate Cubic *-Derivations on Banach *-Algebras [J].

Yang, Seo Yoon ;

Bodaghi, Abasalt ;

Atan, Kamel Ariffin Mohd .

ABSTRACT AND APPLIED ANALYSIS, 2012,

[30] FUZZY SETS [J].

ZADEH, LA .

INFORMATION AND CONTROL, 1965, 8 (03) :338-&

← 1 2 3 →