Nearly Quadratic n‐Derivations on Non‐Archimedean Banach Algebras | Zendy

M‎. ‎Eshaghi Gordji | Zendy; Badrkhan Alizadeh | Zendy; Young Whan Lee | Zendy; Gwang Hui Kim | Zendy

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Nearly Quadratic n‐Derivations on Non‐Archimedean Banach Algebras

Author(s) -

M‎. ‎Eshaghi Gordji,

Badrkhan Alizadeh,

Young Whan Lee,

Gwang Hui Kim

Publication year - 2012

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2012/961642

Subject(s) - mathematics , quadratic equation , banach algebra , integer (computer science) , pure mathematics , banach space , quadratic function , function (biology) , discrete mathematics , computer science , geometry , evolutionary biology , biology , programming language

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

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