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- W2273264967 abstract "Let A be a Banach ternary algebra over a scalar eld R or C and X be a Banach ternary A-module.Let ; and be linear mappings on A, a linear mapping D : (A; [ ]A) ! (X; [ ]X) is called a ternary(; ; )-derivation, ifD([xyz]A) = [D(x) (y)(z)]X + [(x)D(y)(z)]X + [(x) (y)D(z)]Xfor all x; y; z 2 A.In this paper, we investigate ternary (; ; )-derivation on Banach ternary algebras, associatedwith the following functional equationf(x + y + z4) + f(3x y 4z4) + f(4x + 3z4) = 2f(x) :Moreover, we prove the generalized Ulam{Hyers stability of ternary (; ; )-derivations on Banachternary algebras." @default.
- W2273264967 created "2016-06-24" @default.
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- W2273264967 date "2014-01-01" @default.
- W2273264967 modified "2023-09-22" @default.
- W2273264967 title "Ternary (sigma,tau,xi)-derivations on Banach ternary algebras" @default.
- W2273264967 doi "https://doi.org/10.22075/ijnaa.2014.112" @default.
- W2273264967 hasPublicationYear "2014" @default.
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