Honam Mathematical Journal (호남수학학술지)

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ON THE STABILITY OF A CUBIC-QUADRATIC SET-VALUED FUNCTIONAL EQUATION

  • Lee, Yang-Hi (Department of Mathematics Education, Gongju National University of Education)
  • Received : 2018.11.09
  • Accepted : 2019.01.14
  • Published : 2019.06.25
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Abstract

In this paper, I prove the stability of the following set-valued functional equation $$f(x+2y){\oplus}f(x-2y){\oplus}3f(2x){\oplus}f(-2x)\\{\hspace{100}}=4f(x+y){\oplus}4f(x-y){\oplus}10f(x)$$ by employing the direct method in the sense of Hyers and Ulam.

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References

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