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/