충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제27권3호
  • /
  • Pages.455-467
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  • 2014
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  • 1226-3524(pISSN)
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  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
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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)
  • 투고 : 2014.05.01
  • 심사 : 2014.06.30
  • 발행 : 2014.08.15
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초록

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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참고문헌

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피인용 문헌

  1. APPROXIMATE QUADRATIC MAPPINGS IN QUASI-β-NORMED SPACES vol.28, pp.2, 2015, https://doi.org/10.14403/jcms.2015.28.2.311
  2. A REMARK ON A STABILITY IN MULTI-VALUED DYNAMICS vol.30, pp.1, 2014, https://doi.org/10.14403/jcms.2017.30.1.141