충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제27권2호
  • /
  • Pages.261-269
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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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THE GENERALIZED HYERS-ULAM STABILITY OF QUADRATIC FUNCTIONAL EQUATION WITH AN INVOLUTION IN NON-ARCHIMEDEAN SPACES

  • 투고 : 2014.02.13
  • 심사 : 2014.04.07
  • 발행 : 2014.05.15
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초록

In this paper, using fixed point method, we prove the Hyers-Ulam stability of the following functional equation $$(k+1)f(x+y)+f(x+{\sigma}(y))+kf({\sigma}(x)+y)-2(k+1)f(x)-2(k+1)f(y)=0$$ with an involution ${\sigma}$ for a fixed non-zero real number k with $k{\neq}-1$.

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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