Multi-derivations and some approximations
Commun. Korean Math. Soc.
Published online May 13, 2022
Abasalt Bodaghi and Hassan Feizabadi
Islamic Azad University; Islamic Azad University
Abstract : In this paper, we introduce multi-derivations and present some examples of such derivations. Then, we unify
the system of functional equations defining a multi-derivation to a single formula. We will also establish the generalized Hyers-Ulam stability of multi-derivations in Banach module whose upper bounds controlled by a general function by applying a fixed point theorem. Finally, we give some important applications of this result to obtain the known stability outcomes.
Keywords : Derivation; Hyers-Ulam stability; Multi-derivation; Fixed point method.
MSC numbers : 39B52, 39B72, 47H10.
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