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2011 / September Volume 6 No.3
Approximate Quaternary Jordan Derivations On Banach Quaternary Algebras
Published Date
2011 / September
Title
Approximate Quaternary Jordan Derivations On Banach Quaternary Algebras
Author
M. Eshaghi Gordji, J. M. Rassias, M. B. Ghaemi, B. Alizadeh
Keyword
Hyers–Ulam stability, quaternary algebra, n-ary algebra, quaternary Jordan derivation, Hyers--Ulam stability, quaternary algebra, $n$-ary algebra, quaternary Jordan derivation
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Pagination
361-375
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.
AMS Subject
Classification
39B52, 39B82, 46B99, 17A40,
Received
2010-10-05
Accepted
2010-10-05
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