Approximate fuzzy ternary homomorphisms and fuzzy ternary derivations on fuzzy ternary Banach algebras

被引:0
|
作者
Ebadian, Ali [1 ]
Abolfathi, Mohammad Ali [1 ]
Aghalary, Rasoul [1 ]
Park, Choonkil [2 ]
Shin, Dong Yun [3 ]
机构
[1] Urmia Univ, Dept Math, Orumiyeh, Iran
[2] Hanyang Univ, Res Inst Nat Sci, Seoul 133791, South Korea
[3] Univ Seoul, Dept Math, Seoul 130743, South Korea
基金
新加坡国家研究基金会;
关键词
Hyers-Ulam stability; fuzzy ternary Banach algebra; additive functional equation; fuzzy ternary homomorphism; fuzzy ternary derivation; fixed point method; ULAM-RASSIAS STABILITY; FUNCTIONAL-EQUATION; ASTERISK-HOMOMORPHISMS; FIXED-POINTS; SUPERSTABILITY;
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
Using the fixed point method, we prove the Hyers-Ulam stability of ternary homomorphisms and ternary derivations in fuzzy ternary Banach algebras associated to the following additive functional equation Sigma(n)(k=2)(Sigma(k)(i1=2)Sigma i(2=i1+1)(k+1) ... Sigma i(n-k+1=in-k+1)(n) )f( Sigma(n)(i not equal 1,i not equal i1,i2...,in-k+1) xi- Sigma(n-k+1)(r=1) x(ir) ) + d (Sigma(n)(i=1)x(i)) = 2n-1 f(x(1)) for a fixed integer n with n >= 2.
引用
收藏
页码:174 / 185
页数:12
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