Author/Authors :
Bouikhalene, B Departement of Mathematics - University Sultan Moulay Slimane, Beni-Mellal Morocco , Rassias, J. M University of Athens, Section of Mathematics and Informatics - Agamemnonos Str - Aghia Paraskevi - Athens, Greece , charifi, A Faculty of sciences - Departement of Mathematics - University of Ibn Tofail - Kenitra, Morocco , Kabbaj, S. Faculty of sciences - Departement of Mathematics - University of Ibn Tofail - Kenitra, Morocco
Abstract :
We show that every approximate solution of the Hosszu's functional equation
f(x + y + xy) = f(x) + f(y) + f(xy) for any x; y 2 R;
is an additive function and also we investigate the Hyers-Ulam stability of this equation in the
following setting
ǁf(x + y + xy) - f(x) - f(y) - f(xy)ǁ ≤ σ + '(x; y)
for any x; y 2 R and σ > 0.
