Approximate m-Lie homomorphisms and approximate Jordan m-Lie homomorphisms associated to a parametric additive functional equation

被引:0
|
作者
Hassan Azadi Kenary
Hamid Rezaei
Madjid Eshaghi Gordji
Choonkil Park
Sang Og Kim
机构
[1] Yasouj University,Department of Mathematics, College of Sciences
[2] Yasouj University,Department of Mathematics, College of Sciences
[3] Semnan University,Department of Mathematics
[4] Hanyang University,Research Institute for Natural Sciences
[5] Hallym University,Department of Mathematics
来源
Advances in Difference Equations | / 2012卷
关键词
-Lie algebra; homomorphism; Jordan homomorphism; Hyers-Ulam stability; fixed point approach; Jensen-type functional equation;
D O I
暂无
中图分类号
学科分类号
摘要
Using fixed point method, we establish the Hyers-Ulam stability of m-Lie homomorphisms and Jordan m-Lie homomorphisms in m-Lie algebras associated to the following generalized Jensen functional equation
引用
收藏
相关论文
共 20 条
  • [1] Approximate m-Lie homomorphisms and approximate Jordan m-Lie homomorphisms associated to a parametric additive functional equation
    Kenary, Hassan Azadi
    Rezaei, Hamid
    Gordji, Madjid Eshaghi
    Park, Choonkil
    Kim, Sang Og
    ADVANCES IN DIFFERENCE EQUATIONS, 2012,
  • [2] Approximate n-Lie Homomorphisms and Jordan n-Lie Homomorphisms on n-Lie Algebras
    Gordji, M. Eshaghi
    Kim, G. H.
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [3] Braided m-Lie algebras
    Zhang, SH
    Zhang, YZ
    LETTERS IN MATHEMATICAL PHYSICS, 2004, 70 (02) : 155 - 167
  • [4] Braided m-Lie Algebras
    Shouchuan Zhang
    Yao-Zhong Zhang
    Letters in Mathematical Physics, 2004, 70 : 155 - 167
  • [5] APPROXIMATE 3-LIE HOMOMORPHISMS ON LIE ALGEBRA SYSTEMS
    Ebadian, Ali
    Aghalary, Rasoul
    Shokri, Javad
    ANALYSIS AND APPLICATIONS, 2013, 11 (05)
  • [6] Approximate ternary Jordan bi-homomorphisms in Banach Lie triple systems
    Gordji, Madjid Eshaghi
    Rahimi, Amin
    Park, Choonkil
    Shin, Dong Yun
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2016, 21 (06) : 1040 - 1045
  • [7] Approximate Homomorphisms and Derivations on Normed Lie Triple Systems
    Kim, Hark-Mahn
    Lee, Juri
    JOURNAL OF FUNCTION SPACES, 2014, 2014
  • [8] On approximate ternary m-derivations and σ-homomorphisms
    Ghazanfari, A. G.
    Alizadeh, Z.
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2015, 17 (04) : 625 - 640
  • [9] On approximate ternary m-derivations and σ-homomorphisms
    A. G. Ghazanfari
    Z. Alizadeh
    Journal of Fixed Point Theory and Applications, 2015, 17 : 625 - 640
  • [10] Almost Jordan homomorphisms and Jordan derivations associated to the parametric-additive functional equation on fuzzy Banach algebras
    Hassan Azadi Kenary
    Hamid Rezaei
    Yosouf Gheisari
    Madjid Eshaghi Gordji
    Dong Yun Shin
    Advances in Difference Equations, 2012