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http://dx.doi.org/10.4134/CKMS.c210300

MULTI-DERIVATIONS AND SOME APPROXIMATIONS  

Bodaghi, Abasalt (Department of Mathematics Garmsar Branch Islamic Azad University)
Feizabadi, Hassan (Department of Mathematics Arak Branch Islamic Azad University)
Publication Information
Communications of the Korean Mathematical Society / v.37, no.3, 2022 , pp. 801-812 More about this Journal
Abstract
In this paper, we introduce the multi-derivations on rings and present some examples of such derivations. Then, we unify the system of functional equations defining a multi-derivation to a single formula. Applying a fixed point theorem, we will establish the generalized Hyers-Ulam stability of multi-derivations in Banach module whose upper bounds are controlled by a general function. Moreover, we give some important applications of this result to obtain the known stability outcomes.
Keywords
Derivation; Hyers-Ulam stability; multi-derivation; fixed point method;
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Times Cited By KSCI : 1  (Citation Analysis)
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