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Vol.19 No.4

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ON THE FUZZY STABILITY OF CUBIC MAPPINGS USING FIXED POINT METHOD

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2012, v.19 no.4, pp.397-407
https://doi.org/10.7468/jksmeb.2012.19.4.397
Koh, Heejeong
Koh,, H. (2012). ON THE FUZZY STABILITY OF CUBIC MAPPINGS USING FIXED POINT METHOD. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 19(4), 397-407, https://doi.org/10.7468/jksmeb.2012.19.4.397

Abstract

Let X and Y be vector spaces. We introduce a new type of a cubic functional equation <TEX>$f$</TEX> : <TEX>$X{\rightarrow}Y$</TEX>. 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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