대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제25권3호
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  • Pages.405-417
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  • 2010
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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FUZZY STABILITY OF A GENERALIZED QUADRATIC FUNCTIONAL EQUATION

  • Najati, Abbas (DEPARTMENT OF MATHEMATICS UNIVERSITY OF MOHAGHEGH ARDABILI)
  • 투고 : 2009.07.21
  • 발행 : 2010.07.31
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초록

We prove the generalized Hyers-Ulam stability of the generalized quadratic functional equation $$f(rx\;+\;sy)\;=\;r^2f(x)\;+\;s^2f(y)\;+\;\frac{rs}{2}[f(x\;+\;y)\;-\;f(x\;-\;y)]$$ in fuzzy Banach spaces, where r, s are non-zero rational numbers with $r^2\;+\;s^2\;{\neq}\;1$.

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참고문헌

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피인용 문헌

  1. Local stability of the Pexiderized Cauchy and Jensen's equations in fuzzy spaces vol.2011, pp.1, 2011, https://doi.org/10.1186/1029-242X-2011-78
  2. Stability of functional equations of n-Apollonius type in fuzzy ternary Banach algebras vol.18, pp.4, 2016, https://doi.org/10.1007/s11784-016-0292-1
  3. A functional equation related to inner product spaces in non-Archimedean L-random normed spaces vol.2012, pp.1, 2012, https://doi.org/10.1186/1029-242X-2012-168
  4. Fixed Points and Random Stability of a Generalized Apollonius Type Quadratic Functional Equation vol.2011, 2011, https://doi.org/10.1155/2011/671514
  5. Lattictic non-archimedean random stability of ACQ functional equation vol.2011, pp.1, 2011, https://doi.org/10.1186/1687-1847-2011-31