Approximate Quaternary Jordan Derivations On Banach Quaternary Algebras
by M. Eshaghi Gordji   J. M. Rassias   M. B. Ghaemi   B. Alizadeh  

Vol. 6 No. 3 (2011) P.361~P.375

ABSTRACT

We show that a quaternary Jordan derivation on a quaternary Banach algebra associated with the equation $$f(\frac{x+y+z}{4})+f(\frac{3x-y-4z}{4})+f(\frac{4x+3z}{4})=2 f(x)~.$$ is satisfied in generalized Hyers--Ulam stability.

KEYWORDS
Hyers--Ulam stability, quaternary algebra, $n$-ary algebra, quaternary Jordan derivation

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 39B52, 39B82, 46B99, 17A40,

MILESTONES

Received: 2010-09-06
Revised : 2010-10-05
Accepted: 2010-10-05

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