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On Ulam's type stability of the Cauchy additive equation.


ABSTRACT: We prove a general result on Ulam's type stability of the functional equation f(x + y) = f(x) + f(y), in the class of functions mapping a commutative group into a commutative group. As a consequence, we deduce from it some hyperstability outcomes. Moreover, we also show how to use that result to improve some earlier stability estimations given by Isaac and Rassias.

SUBMITTER: Brzdek J 

PROVIDER: S-EPMC3970066 | biostudies-other | 2014

REPOSITORIES: biostudies-other

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