Approximate Generalized Additive-Quadratic Functional Equations on Ternary Banach Algebras

Sedigheh Jahedi, Vahid Keshavarz

Abstract


In this paper, we introduce the concept of j-hom-derivation, $j\in\{1,2\}$ and solve the new generalized additive-quadratic functional equations in the sense of ternary Banach algebras. Moreover, using the fixed point method, we prove its Hyers-Ulam stability.

Keywords


Hyers-Ulam stability, ternary Banach algebra, additive function, quadratic function, fixed point theorem

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