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.
@article{bwmeta1.element.doi-10_1515_amsil-2016-0018,
author = {Imke Toborg and Peter Volkmann},
title = {On Stability of the Cauchy Functional Equation in Groupoids},
journal = {Annales Mathematicae Silesianae},
volume = {31},
year = {2017},
pages = {155-164},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_amsil-2016-0018}
}
Imke Toborg; Peter Volkmann. On Stability of the Cauchy Functional Equation in Groupoids. Annales Mathematicae Silesianae, Tome 31 (2017) pp. 155-164. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_amsil-2016-0018/