Fuzzy approximation of an additive functional equation
G. Zamani Eskandani,1Ali Reza Zamani,2and H. Vaezi3
Academic Editor: Nicolae Popa
Received01 Jan 2010
Abstract
In this paper, we investigate the generalized Hyers– Ulam– Rassias stability of the functional equation ∑i=1mf(mxi+∑j=1,j≠imxj)+f(∑i=1mxi)=2f(∑i=1mmxi) in fuzzy Banach spaces and some applications of our results in the stability of above mapping from a normed space to a Banach space will be exhibited.