Stability of the quadratic functional equation in non-Archimedean L-fuzzy normed spaces

Authors

1 Department of Mathematics, Islamic Azad University-Aiatollah Amoli Branch, Amol, P.O. Box 678, Iran.}

2 Department of Mathematics, Research Institute for Natural Sciences, Hanyang University, Seoul 133-791, Korea.

Abstract

In this paper, we prove the generalized Hyers-Ulam stability of the quadratic functional
equation
$$f(x+y)+f(x-y)=2f(x)+2f(y)$$
in non-Archimedean $mathcal{L}$-fuzzy normed spaces.

Keywords