The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
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ON THE FUZZY STABILITY OF CUBIC MAPPINGS USING FIXED POINT METHOD

  • Koh, Heejeong (Department of Mathematics Education, Dankook University)
  • Received : 2012.09.04
  • Accepted : 2012.10.31
  • Published : 2012.11.30
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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.

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References

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