HYERS-ULAM STABILITY OF MAPPINGS FROM A RING A INTO AN A-BIMODULE

Title & Authors
HYERS-ULAM STABILITY OF MAPPINGS FROM A RING A INTO AN A-BIMODULE
Oubbi, Lahbib;

Abstract
We deal with the Hyers-Ulam stability problem of linear mappings from a vector space into a Banach one with respect to the following functional equation: $\small{f$$\frac{-x+y}{3}$$+f$$\frac{x-3z}{3}$$+f$$\frac{3x-y+3z}{3}$$=f(x)}$. We then combine this equation with other ones and establish the Hyers-Ulam stability of several kinds of linear mappings, among which the algebra (*-) homomorphisms, the derivations, the multipliers and others. We thus repair and improve some previous assertions in the literature.
Keywords
Hyers-Ulam stability of functional equations;Hyers-Ulam stability of additive mappings;ring homomorphisms;ring derivations;
Language
English
Cited by
1.
Hyers–Ulam stability of a functional equation with several parameters, Afrika Matematika, 2016, 27, 7-8, 1199
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