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/content/aip/journal/jmp/51/4/10.1063/1.3299295
2010-04-27
2016-12-11

Abstract

Let be a Banach ternary algebra over and a ternary Banach -module. A -linear mapping is called a ternary Jordan derivation if for all . [Bavand Savadkouhi et al., J. Math. Phys.50, 042303 (2009)] investigated ternary Jordan derivations on Banach ternary algebras, associated with the following functional equation:, and proved the generalized Ulam–Hyers stability of ternary Jordan derivations on Banach ternary algebras. The mapping in Lemma 2.2 of Bavand Savadkouhi et al. is identically zero and all of the results are trivial. In this note, we correct the statements of the results and the proofs.

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