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

Document Type : Research Paper


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


In this paper, we prove the generalized Hyers-Ulam stability of the quadratic functional equation
in non-Archimedean $\mathcal{L}$-fuzzy normed spaces.