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

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