%0 Journal Article
%T Stabilities of Cubic Mappings in Fuzzy Normed Spaces
%A Ghaffari Ali
%A Alinejad Ahmad
%J Advances in Difference Equations
%D 2010
%I Springer
%X Rassias(2001) introduced the pioneering cubic functional equation in the history of mathematical analysis: and solved the pertinent famous Ulam stability problem for this inspiring equation. This Rassias cubic functional equation was the historic transition from the following famous Euler-Lagrange-Rassias quadratic functional equation: to the cubic functional equations. In this paper, we prove the Ulam-Hyers stability of the cubic functional equation: in fuzzy normed linear spaces. We use the definition of fuzzy normed linear spaces to establish a fuzzy version of a generalized Hyers-Ulam-Rassias stability for above equation in the fuzzy normed linear space setting. The fuzzy sequentially continuity of the cubic mappings is discussed.
%U http://www.advancesindifferenceequations.com/content/2010/150873