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http://dx.doi.org/10.14403/jcms.2017.30.2.239

FUZZY ALMOST q-CUBIC FUNCTIONAL EQATIONS  

Kim, ChangIl (Department of Mathematics Education Dankook University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.30, no.2, 2017 , pp. 239-249 More about this Journal
Abstract
In this paper, we approximate a fuzzy almost cubic function by a cubic function in a fuzzy sense. Indeed, we investigate solutions of the following cubic functional equation $$3f(kx+y)+3f(kx-y)-kf(x+2y)-2kf(x-y)-3k(2k^2-1)f(x)+6kf(y)=0$$. and prove the generalized Hyers-Ulam stability for it in fuzzy Banach spaces.
Keywords
additive-quadratic mapping; fuzzy almost quadratic-additive mapping; fuzzy normed space;
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