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http://dx.doi.org/10.7468/jksmeb.2012.19.4.397

ON THE FUZZY STABILITY OF CUBIC MAPPINGS USING FIXED POINT METHOD  

Koh, Heejeong (Department of Mathematics Education, Dankook University)
Publication Information
The Pure and Applied Mathematics / v.19, no.4, 2012 , pp. 397-407 More about this Journal
Abstract
Let X and Y be vector spaces. We introduce a new type of a cubic functional equation $f$ : $X{\rightarrow}Y$. Furthermore, we assume X is a vector space and (Y, N) is a fuzzy Banach space and then investigate a fuzzy version of the generalized Hyers-Ulam stability in fuzzy Banach space by using fixed point method for the cubic functional equation.
Keywords
stability; fixed point; fuzzy norm; functional equation; cubic mapping;
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