Fuzzy stability of a mixed type functional equation

被引：2

作者：

Jin, Sun Sook ^{[1
]}

Lee, Yang-Hi ^{[1
]}

机构：

[1] Gongju Natl Univ Educ, Dept Math Educ, Gongju 314711, South Korea

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2011年

关键词：

fuzzy normed space; fuzzy almost quadratic-additive mapping; mixed type functional equation; ULAM-RASSIAS STABILITY; APPROXIMATELY ADDITIVE MAPPINGS; SPACES;

D O I：

10.1186/1029-242X-2011-70

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate a fuzzy version of stability for the functional equation f(x + y + z) - f(x + y) - f(y + z) - f(x + z) + f(x) + f(y) + f(z) = 0 in the sense of Mirmostafaee and Moslehian.

引用

页数：12

共 50 条

[31] Fuzzy Hyers-Ulam stability of an additive functional equation [J].

Kenary, Hassan Azadi ;

Rezaei, Hamid ;

Ghaffaripour, Anoshiravan ;

Talebzadeh, Saedeh ;

Park, Choonkil ;

Lee, Jung Rye .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2011,

[32] THE STABILITY OF A GENERALIZED AFFINE FUNCTIONAL EQUATION IN FUZZY NORMED SPACES [J].

Mursaleen, M. ;

Ansari, Khursheed J. .

PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD, 2016, 100 (114) :163-181

[33] Fuzzy Hyers-Ulam stability of an additive functional equation [J].

Hassan Azadi Kenary ;

Hamid Rezaei ;

Anoshiravan Ghaffaripour ;

Saedeh Talebzadeh ;

Choonkil Park ;

Jung Rye Lee .

Journal of Inequalities and Applications, 2011

[34] ON A FUNCTIONAL EQUATION ORIGINATING FROM A MIXED ADDITIVE AND CUBIC EQUATION AND ITS STABILITY [J].

Janfada, Mohammad ;

Shateri, Tayebe Laal ;

Shourvarzi, Rahele .

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2014, 43 (01) :27-41

[35] Stability of a mixed functional equation in several variables on Banach modules [J].

Najati, Abbas ;

Rassias, Themistocles M. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (3-4) :1755-1767

[36] Fuzzy approximation of an additive functional equation [J].

Eskandani, G. Zamani ;

Zamani, Ali Reza ;

Vaezi, H. .

JOURNAL OF FUNCTION SPACES AND APPLICATIONS, 2011, 9 (02) :205-215

[37] Fuzzy Stability of a Functional Equation Deriving from Quadratic and Additive Mappings [J].

Jin, Sun Sook ;

Lee, Yang-Hi .

ABSTRACT AND APPLIED ANALYSIS, 2011,

[38] Solution and Fuzzy Stability of n-Dimensional Quadratic Functional Equation [J].

Indira, K. ;

Agilan, P. ;

Suresh, M. ;

Balamurugan, Manivannan ;

Karthikeyan, S. ;

Sakthi, R. .

INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2025, 23

[39] Fuzzy stability of a cubic functional equation via fixed point technique [J].

Syed Abdul Mohiuddine ;

Abdullah Alotaibi .

Advances in Difference Equations, 2012

[40] Fuzzy stability of a rational functional equation and its relevance to system design [J].

Kumar, Beri Venkatachalapathy Senthil ;

Dutta, Hemen .

INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, 2019, 48 (02) :157-169

← 1 2 3 4 5 →