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Stability of Functional Equations and Properties of Groups

Gian Luigi Forti

Gian Luigi Forti

Università degli Studi di Milano, Dipartimento di MatematicaMilano, Italy
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Forti, Gian Luigi
  
Jul 18, 2019
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Published Online: Jul 18, 2019
Page range: 77 - 96
Received: Mar 18, 2019
Accepted: Apr 15, 2019
DOI: https://doi.org/10.2478/amsil-2019-0004
Keywords
© 2019 Gian Luigi Forti, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Investigating Hyers–Ulam stability of the additive Cauchy equation with domain in a group G, in order to obtain an additive function approximating the given almost additive one we need some properties of G, starting from commutativity to others more sophisticated. The aim of this survey is to present these properties and compare, as far as possible, the classes of groups involved.

Language:
English
Publication timeframe:
2 times per year
Journal Subjects:
Mathematics, General Mathematics
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