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
来源：
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2015年 / 19卷 / 01期
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
相关论文
共 50 条
  • [31] Lie ternary (sigma, tau, xi)-derivations on Banach ternary algebras
    Rostami, Razieh Farokhzad
    INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2018, 9 (01): : 41 - 53
  • [32] Approximate ternary quadratic derivation on ternary Banach algebras and C*-ternary rings: revisited
    Park, Choonkill
    Lee, Jung Rye
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2015, 8 (03): : 218 - 223
  • [33] Approximations of ternary Jordan homomorphisms and derivations in multi-C au ternary algebras
    O'Regan, D.
    Rassias, J. M.
    Saadati, R.
    ACTA MATHEMATICA HUNGARICA, 2012, 134 (1-2) : 99 - 114
  • [34] Introducing of an Orthogonally Relation for Stability of Ternary Cubic Homomorphisms and Derivations on C*-Ternary Algebras
    Rabbani, M.
    Eshaghi, M.
    FILOMAT, 2018, 32 (04) : 1439 - 1445
  • [35] Ternary Jordan ring derivations on Banach ternary algebras: A fixed point approach
    Gordji, Madjid Eshaghi
    Bazeghi, Shayan
    Park, Choonkil
    Jang, Sun Young
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2016, 21 (05) : 829 - 834
  • [36] APPROXIMATE BI-HOMOMORPHISMS AND BI-DERIVATIONS IN C*-TERNARY ALGEBRAS: REVISITED
    Cho, Young
    Jang, Sun Young
    Kwon, Su Min
    Park, Choonkil
    Park, Won-Gil
    KOREAN JOURNAL OF MATHEMATICS, 2013, 21 (02): : 161 - 170
  • [37] Approximately Ternary Homomorphisms on C*-Ternary Algebras
    Shim, Eon Wha
    Kwon, Su Min
    Hyen, Yun Tark
    Choi, Yong Hun
    Bodaghi, Abasalt
    ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [38] Homomorphisms and derivations in induced fuzzy C*-algebras
    Kenary, Hassan Azadi
    Ghirati, Mojtaba
    Park, Choonkil
    Gordji, Madjid Eshaghi
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [39] Homomorphisms and derivations in induced fuzzy C∗-algebras
    Hassan Azadi Kenary
    Mojtaba Ghirati
    Choonkil Park
    Madjid Eshaghi Gordji
    Journal of Inequalities and Applications, 2013
  • [40] C*-TERNARY HOMOMORPHISMS, C*-TERNARY DERIVATIONS, JB*-TRIPLE HOMOMORPHISMS AND JB*-TRIPLE DERIVATIONS
    Park, Choonkil
    INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2013, 10 (04)
12345