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Approximate n‐Lie Homomorphisms and Jordan n‐Lie Homomorphisms on n‐Lie Algebras

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  • M. Eshaghi Gordji
  • G. H. Kim

Abstract

Using fixed point methods, we establish the stability of n‐Lie homomorphisms and Jordan n‐Lie homomorphisms on n‐Lie algebras associated to the following generalized Jensen functional equation μf(∑i=1nxi/n)+μ∑j=2nf(∑i=1,i≠jnxi-(n-12)xj/n)=f(μx1)(n≥).

Suggested Citation

  • M. Eshaghi Gordji & G. H. Kim, 2012. "Approximate n‐Lie Homomorphisms and Jordan n‐Lie Homomorphisms on n‐Lie Algebras," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:279632
    DOI: 10.1155/2012/279632
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    References listed on IDEAS

    as
    1. Soon-Mo Jung, 2011. "Hyers-Ulam-Rassias Stability of Functional Equations in Nonlinear Analysis," Springer Optimization and Its Applications, Springer, number 978-1-4419-9637-4, January.
    2. M. Eshaghi Gordji & H. Khodaei, 2009. "On the Generalized Hyers‐Ulam‐Rassias Stability of Quadratic Functional Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2009(1).
    3. Zbigniew Gajda, 1991. "On stability of additive mappings," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 14, pages 1-4, January.
    4. M. Eshaghi Gordji & H. Khodaei, 2009. "On the Generalized Hyers-Ulam-Rassias Stability of Quadratic Functional Equations," Abstract and Applied Analysis, Hindawi, vol. 2009, pages 1-11, June.
    5. M. Eshaghi Gordji & S. Zolfaghari & J. M. Rassias & M. B. Savadkouhi, 2009. "Solution and Stability of a Mixed Type Cubic and Quartic Functional Equation in Quasi-Banach Spaces," Abstract and Applied Analysis, Hindawi, vol. 2009, pages 1-14, August.
    6. M. Eshaghi Gordji & S. Zolfaghari & J. M. Rassias & M. B. Savadkouhi, 2009. "Solution and Stability of a Mixed Type Cubic and Quartic Functional Equation in Quasi‐Banach Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2009(1).
    7. Paisan Nakmahachalasint, 2007. "On the Generalized Ulam-Gavruta-Rassias Stability of Mixed-Type Linear and Euler-Lagrange-Rassias Functional Equations," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2007, pages 1-10, May.
    8. Paisan Nakmahachalasint, 2007. "Hyers-Ulam-Rassias and Ulam-Gavruta-Rassias Stabilities of an Additive Functional Equation in Several Variables," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2007, pages 1-6, July.
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