Abstract
The stability question for additive mappings under various conditions on their domains and ranges is studied. The main aspects are existence, uniqueness, and continuity of an approximating additive mapping (Sections 4 and 5). Suitable examples demonstrate the limits of the scope of our theorems (Section 6). The monogenic subsets of the domain and the behavior of the mappings on these turn out to be of central importance.
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Dedicated to Professor Walter Nef on his sixtieth birthday
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Rätz, J. (1980). On Approximately Additive Mappings. In: Beckenbach, E.F. (eds) General Inequalities 2. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique, vol 47. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6324-7_22
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DOI: https://doi.org/10.1007/978-3-0348-6324-7_22
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