Nearly Quadratic n-Derivations on Non-Archimedean Banach Algebras

Nearly Quadratic n-Derivations on Non-Archimedean Banach Algebras

Let n>1 be an integer, let A be an algebra, and X be an A-module. A quadratic function D:A→X is called a quadratic n-derivation if D(∏i=1nai)=D(a1)a22⋯an2+a12D(a2)a32⋯an2+⋯+a12a22⋯an−12D(an) for all a1,...,an∈A. We investigate the Hyers-Ulam stability of quadratic n-derivations from non-Archimede...

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Veröffentlicht in:Discrete Dynamics in Nature and Society 2012-01, Vol.2012 (2012), p.546-555-240
Hauptverfasser: Gordji, Madjid Eshaghi, Alizadeh, Badrkhan, Lee, Young Whan, Kim, Gwang Hui
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Algorithms
Dynamics
Inequality
Integers
Modules
Stability
Studies
Theorems
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Zusammenfassung:Let n>1 be an integer, let A be an algebra, and X be an A-module. A quadratic function D:A→X is called a quadratic n-derivation if D(∏i=1nai)=D(a1)a22⋯an2+a12D(a2)a32⋯an2+⋯+a12a22⋯an−12D(an) for all a1,...,an∈A. We investigate the Hyers-Ulam stability of quadratic n-derivations from non-Archimedean Banach algebras into non-Archimedean Banach modules by using the Banach fixed point theorem.
ISSN:1026-0226
1607-887X
DOI:10.1155/2012/961642