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Homomorphisms and derivations on C?-ternary algebras associated with a generalized Cauchy-Jensen type additive functional equation
Journal: Journal of Advances in Physics (Vol.4, No. 3)Publication Date: 2014-05-07
Authors : Soo Hwan Kim; Seong Sik Kim; John Michael Rassias;
Page : 662-668
Keywords : ?*-ternary homomorphism; ?*-ternary derivation; Generalized Cauchy-Jensen type equation; Generalized Hyers-Ulam stability; ?*-ternary algebras.;
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Abstract
In this paper, we prove the generalized Hyers-Ulam stability of C?-ternary homomorphisms and C?-ternary derivations on C?-ternary algebras associated with the generalized Cauchy-Jensen type additive functional equation
for all xi; xj β X where n β Z+ is a fixed integer with n ? 3.
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