Non-Archimedean L-fuzzy normed spaces and stability of functional equations

Lee et al. considered the following quadratic functional equation f (lx + y) + f (lx − y) = 2l2f (x) + 2f (y) and proved the Hyers–Ulam–Rassias stability of the above functional equation in classical Banach spaces. In this paper, we prove the Hyers–Ulam–Rassias stability of the above quadratic functional equation in non-Archimedean L-fuzzy normed spaces.