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On Stability of the Cauchy Functional Equation in Groupoids Cover

On Stability of the Cauchy Functional Equation in Groupoids

By: Imke Toborg and  Peter Volkmann  
Open Access
|Sep 2017

Abstract

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.

DOI: https://doi.org/10.1515/amsil-2016-0018 | Journal eISSN: 2391-4238 | Journal ISSN: 0860-2107
Language: English
Page range: 155 - 164
Submitted on: Jun 1, 2016
Accepted on: Sep 20, 2016
Published on: Sep 13, 2017
Published by: University of Silesia in Katowice, Institute of Mathematics
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year

© 2017 Imke Toborg, Peter Volkmann, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.