On Stability of the Cauchy Functional Equation in Groupoids

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

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Bibliographic Details
Published inAnnales mathematicae Silesianae Vol. 31; no. 1; pp. 155 - 164
Main Authors Toborg, Imke, Volkmann, Peter
Format Journal Article
LanguageEnglish
Published De Gruyter Open 26.09.2017
Subjects
Cauchy equation
groupoids
stability
Tabor groupoids
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Summary:We give some stability results for the functional equation a(xy) = a(x) + a(y), where a: G → E, G being a groupoid and E a Banach space.
ISSN:0860-2107
2391-4238
0860-2107
DOI:10.1515/amsil-2016-0018