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Approximately Cubic n-Derivations on Non-archimedean Banach Algebras

In: Nonlinear Analysis

Author

Listed:
  • F. Habibian

    (Semnan University)

  • R. Bolghanabadi

    (Research Group of Nonlinear Analysis and Applications (RGNAA))

  • M. Eshaghi Gordji

    (Semnan University)

Abstract

Let n>1 be an integer, let be an algebra, and let X be an A-module. An additive map is called an n-derivation if $$D\bigl(\varPi^n_{i=1}a_i\bigr)=D(a_1)a_2 \cdots a_n+a_1D(a_2)a_3\cdots a_n+\cdots+ a_1a_2\cdots a_{n-1}D(a_n) $$ for all . We investigate the Hyers–Ulam–Rassias stability of cubic n-derivations from non-archimedean Banach algebras into non-archimedean Banach modules.

Suggested Citation

  • F. Habibian & R. Bolghanabadi & M. Eshaghi Gordji, 2012. "Approximately Cubic n-Derivations on Non-archimedean Banach Algebras," Springer Optimization and Its Applications, in: Panos M. Pardalos & Pando G. Georgiev & Hari M. Srivastava (ed.), Nonlinear Analysis, edition 127, chapter 0, pages 317-328, Springer.
    • Handle: RePEc:spr:spochp:978-1-4614-3498-6_18
    DOI: 10.1007/978-1-4614-3498-6_18
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