<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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.</p></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.

On Stability of the Cauchy Functional Equation in Groupoids

Annales Mathematicae Silesianae

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

On Stability of the Cauchy Functional Equation in Groupoids

Published Online: Sep 13, 2017

Page range: 155 - 164

Received: Jun 01, 2016

Accepted: Sep 20, 2016

DOI: https://doi.org/10.1515/amsil-2016-0018

Keywords
Cauchy equation, stability, groupoids, Tabor groupoids

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

On Stability of the Cauchy Functional Equation in Groupoids

Published Online: Sep 13, 2017

Page range: 155 - 164

Received: Jun 01, 2016

Accepted: Sep 20, 2016

DOI: https://doi.org/10.1515/amsil-2016-0018

KeywordsCauchy equation, stability, groupoids, Tabor groupoids

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Cauchy equation, stability, groupoids, Tabor groupoids