Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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FUZZY STABILITY OF A CUBIC-QUADRATIC FUNCTIONAL EQUATION: A FIXED POINT APPROACH

  • Received : 2009.08.21
  • Published : 2009.06.30
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Abstract

Using the fixed point method, we prove the generalized Hyers-Ulam stability of the following cubic-quadratic functional equation $$(0.1)\;\frac{1}{2}(f(2x+y)+f(2x-y)-f(-2x-y)-f(y- 2x))\\{\hspace{35}}=2f(x+y)+2f(x-y)+4f(x)-8f(-x)-2f(y)-2f(-y)$$ in fuzzy Banach spaces.

Keywords

References

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