Summary.
In 1940 Ulam proposed the well-known stability problem. In 1941 Hyers solved this problem for additive map**s. In 1950 Aoki proved a more general result, which was rediscovered again in 1978 by Rassias, and from then it is called by some authors the Hyers–Ulam–Rassias (HUR) stability theorem. We show here that, in fact, this theorem merits the name Hyers–Ulam–Aoki (HUA) stability theorem.
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Manuscript received: August 29, 2006 and, in final form, January 26, 2007.
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Maligranda, L. A result of Tosio Aoki about a generalization of Hyers–Ulam stability of additive functions – a question of priority. Aequ. math. 75, 289–296 (2008). https://doi.org/10.1007/s00010-007-2892-8
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DOI: https://doi.org/10.1007/s00010-007-2892-8