A result of Tosio Aoki about a generalization of Hyers�Ulam stability of additive functions � a question of priority

• Autores: Lech Maligranda
• Localización: Aequationes mathematicae, ISSN 0001-9054, Vol. 75, Nº. 3, 2008, págs. 289-296
• Idioma: inglés
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• Resumen

  • In 1940 Ulam proposed the well-known stability problem. In 1941 Hyers solved this problem for additive mappings. 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.