Fuzzy normed spaces and stability of a generalized quadratic functional equation

초록

In this paper, we acquire the general solution of the generalized quadratic functional equation Sigma(1 <= a <= b <= c <= m) phi(r(a) + r(b) + r(c)) = (m - 2) Sigma(1 <= a <= b <= m) phi(r(a) + r(b)) -(m(2) - 3m + 2/2) Sigma(m)(a=1) phi(r(a)) + phi(-r(a))/2 where in m >= 3 is an integer. We also investigate Hyers-Ulam stability results by means of using alternative fixed point theorem for this generalized quadratic functional equation.

키워드