Fixed points and stability of functional equations in fuzzy ternary Banach algebras

被引：5

作者：

Asgari, G. ^{[1
]}

Cho, Y. J. ^{[2
,3
]}

Lee, Y. W. ^{[4
]}

Gordji, M. Eshaghi ^{[5
]}

机构：

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

[2] Gyeongsang Natl Univ, Dept Math Educ, Chinju 660701, South Korea

[3] Gyeongsang Natl Univ, RINS, Chinju 660701, South Korea

[4] Daejeon Univ, Dept Comp Hacking & Informat Secur, Taejon 300716, South Korea

[5] Semnan Univ, Dept Math, Semnan, Iran

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2013年

基金：

新加坡国家研究基金会;

关键词：

Hyers-Ulam-Rassias stability; Diaz and Margolis contraction theorem; fuzzy ternary Banach algebra; ternary algebras; functional equations; ASTERISK-HOMOMORPHISMS; DERIVATIONS;

D O I：

10.1186/1029-242X-2013-166

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using Diaz and Margolis fixed point theorem, we establish the generalized Hyers-Ulam-Rassias stability of the ternary homomorphisms and ternary derivations between fuzzy ternary Banach algebras associated to the following (m,n)-Cauchy-Jensen additive functional equation: (1 <= 1<...<im <= n 1 <= kj <= n k1ij,j is an element of{1,...,m})Sigma f(Sigma(m)(j=1) x(ij)/m + Sigma(n-m)(i=1) x(kj)) = (n-m+1)/n (n m) Sigma(n)(i=1) f(X-j).

引用

页数：10

共 50 条

[31] Nonexpansive mappings on Abelian Banach algebras and their fixed points
W Fupinwong
Fixed Point Theory and Applications, 2012
[32] Stability of ternary quadratic derivation on ternary Banach algebras: revisited
Park, Choonkil
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2016, 20 (01) : 21 - 23
[33] Stability of ternary m-derivations on ternary Banach algebras
Gordji, Madjid Eshaghi
Keshavarz, Vahid
Lee, Jung Rye
Shin, Dong Yun
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2016, 21 (04) : 640 - 644
[34] Fuzzy stability of functional equations in n-variable fuzzy Banach spaces
Shin, Dong Yun
Park, Choonkil
Aghjeubeh, Roghayeh Asadi
Farhadabadi, Shahrokh
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2015, 19 (01) : 186 - 196
[35] FIXED POINTS AND GENERALIZED STABILITY FOR FUNCTIONAL EQUATIONS IN ABSTRACT SPACES
Cadariu, Liviu
Radu, Viorel
JOURNAL OF MATHEMATICAL INEQUALITIES, 2009, 3 (03): : 463 - 473
[36] Fixed points and the stability of the linear functional equations in a single variable
Cadariu, Liviu
Manolescu, Laura
arXiv, 2022,
[37] Fixed points and the stability of the linear functional equations in a single variable
Cadariu, Liviu
Manolescu, Laura
CARPATHIAN JOURNAL OF MATHEMATICS, 2022, 38 (03) : 769 - 776
[38] STABILITY OF THE JENSEN TYPE FUNCTIONAL EQUATION IN BANACH ALGEBRAS: A FIXED POINT APPROACH
Park, Choonkil
Park, Won-Gil
Lee, Jung Rye
Rassias, Themistocles M.
KOREAN JOURNAL OF MATHEMATICS, 2011, 19 (02): : 149 - 161
[39] On the Problem of the Uniqueness of Fixed Points and Solutions for Quadratic Fractional-Integral Equations on Banach Algebras
Cichon, Kinga
Cichon, Mieczyslaw
Ciesielski, Maciej
SYMMETRY-BASEL, 2024, 16 (11):
[40] Banach limit, fixed points and Ulam stability
Janusz Brzdȩk
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2022, 116

← 1 2 3 4 5 →