On stability of the Cauchy functional equation in groupoids



Abstract

We give some stability results for the functional equation a(xy) = a(x) + a(y), where a: GE, G being a groupoid and E a Banach space.


Keywords

Cauchy equation; stability; groupoids; Tabor groupoids

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Published : 2016-12-18


ToborgI., & VolkmannP. (2016). On stability of the Cauchy functional equation in groupoids. Annales Mathematicae Silesianae, 31, 155-164. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/13947

Imke Toborg  imke.toborg@mathematik.uni-halle.de
Institut für Mathematik, Naturwissenschaftliche Fakultät II, Martin-Luther-Universität, Germany  Germany
Peter Volkmann 
Institut für Analysis, KIT, Germany  Germany



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