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Solutions and the Generalized Hyers‐Ulam‐Rassias Stability of a Generalized Quadratic‐Additive Functional Equation

Author

Listed:
  • M. Janfada
  • R. Shourvazi

Abstract

We study general solutions and generalized Hyers‐Ulam‐Rassias stability of the following n‐dimensional functional equation f(∑i=1kxi)+(k−2)∑i=1kf(xi)=∑i=1k∑j=1,j>ikf(xi+xj), k ≥ 3, on non‐Archimedean normed spaces.

Suggested Citation

  • M. Janfada & R. Shourvazi, 2011. "Solutions and the Generalized Hyers‐Ulam‐Rassias Stability of a Generalized Quadratic‐Additive Functional Equation," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    • Handle: RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:326951
    DOI: 10.1155/2011/326951
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    References listed on IDEAS

    as
    1. 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.
    2. Soon-Mo Jung, 2000. "Quadratic functional equations of Pexider type," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 24, pages 1-9, January.
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