Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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ON THE STABILITY OF AN ADDITIVE SET-VALUED FUNCTIONAL EQUATION

  • Chu, Hahng-Yun (Department of Mathematics Chungnam National University) ;
  • Yoo, Seung Ki (Department of Mathematics Chungnam National University)
  • Received : 2014.05.01
  • Accepted : 2014.06.30
  • Published : 2014.08.15
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Abstract

In this paper, we consider the additive set-valued functional equation $nf(\sum_{i=1}^{n}x_i)=\sum_{i=1}^{n}f(x_i){\oplus}\sum_{1{\leq}i<j{\leq}n}f(x_i+x_j)$ where $n{\geq}2$ is an integer, and prove the Hyers-Ulam stability of the functional equation.

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References

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