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A Fixed Point Approach to Superstability of Generalized Derivations on Non‐Archimedean Banach Algebras

Author

Listed:
  • M. Eshaghi Gordji
  • M. B. Ghaemi
  • Badrkhan Alizadeh

Abstract

We investigate the superstability of generalized derivations in non‐Archimedean algebras by using a version of fixed point theorem via Cauchy functional equation.

Suggested Citation

  • M. Eshaghi Gordji & M. B. Ghaemi & Badrkhan Alizadeh, 2011. "A Fixed Point Approach to Superstability of Generalized Derivations on Non‐Archimedean Banach Algebras," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    • Handle: RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:587097
    DOI: 10.1155/2011/587097
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    References listed on IDEAS

    as
    1. Zbigniew Gajda, 1991. "On stability of additive mappings," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 14, pages 1-4, January.
    2. Madjid Eshaghi Gordji, 2010. "Nearly Ring Homomorphisms and Nearly Ring Derivations on Non-Archimedean Banach Algebras," Abstract and Applied Analysis, Hindawi, vol. 2010, pages 1-12, January.
    3. Madjid Eshaghi Gordji, 2010. "Nearly Ring Homomorphisms and Nearly Ring Derivations on Non‐Archimedean Banach Algebras," Abstract and Applied Analysis, John Wiley & Sons, vol. 2010(1).
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    Cited by:

    1. M. Eshaghi Gordji & M. B. Ghaemi & G. H. Kim & Badrkhan Alizadeh, 2011. "Stability and Superstability of Generalized (θ, ϕ)‐Derivations in Non‐Archimedean Algebras: Fixed Point Theorem via the Additive Cauchy Functional Equation," Journal of Applied Mathematics, John Wiley & Sons, vol. 2011(1).

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