Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 1 2 2010 08 01 Stability of the quadratic functional equation in non-Archimedean L-fuzzy normed spaces 72 83 77 10.22075/ijnaa.2010.77 EN S. Shakeri Department of Mathematics, Islamic Azad University-Aiatollah Amoli Branch, Amol, P.O. Box 678, Iran R. Saadati Department of Mathematics, Islamic Azad University-Aiatollah Amoli Branch, Amol, P.O. Box 678, Iran C. Park Department of Mathematics, Research Institute for Natural Sciences, Hanyang University, Seoul 133-791, Korea Journal Article 2010 04 18 In this paper, we prove the generalized Hyers-Ulam stability of the quadratic functional equation<br />$$f(x+y)+f(x-y)=2f(x)+2f(y)$$<br />in non-Archimedean $\mathcal{L}$-fuzzy normed spaces. $mathcal{L}$-fuzzy metric and normed spaces intuitionistic fuzzy metric and normed spaces generalized Hyers-Ulam stability quadratic functional equation non-Archimedean $mathcal{L}$-fuzzy normed space https://ijnaa.semnan.ac.ir/article_77_f653e0485a7b895e88a5a8030a62f80c.pdf