Abstract
In this present work, we obtain the solution of the generalized additive functional equation and also establish Hyers-Ulam stability results by using alternative fixed point for a generalized additive functional equation chi(Sigma(l)(g=1) v (g)) = Sigma(l <= g<h<i <= l chi)(v(g) + v(h) + v(i)) - Sigma(l <= g <= h <= l chi)(v(g) + v(h)) - ((l(2) - 5l + 2)/2)Sigma(l)(g=1)(chi(v(g)) -chi(-v(g))/2). where l is a nonnegative integer with N - {0, 1, 2, 3, 4} in Banach spaces.