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Fuzzy Stability of Jensen‐Type Quadratic Functional Equations

Author

Listed:
  • Sun-Young Jang
  • Jung Rye Lee
  • Choonkil Park
  • Dong Yun Shin

Abstract

We prove the generalized Hyers‐Ulam stability of the following quadratic functional equations 2f((x + y)/2) + 2f((x − y)/2) = f(x) + f(y) and f(ax + ay) + (ax − ay) = 2a2f(x) + 2a2f(y) in fuzzy Banach spaces for a nonzero real number a with a ≠ ±1/2.

Suggested Citation

  • Sun-Young Jang & Jung Rye Lee & Choonkil Park & Dong Yun Shin, 2009. "Fuzzy Stability of Jensen‐Type Quadratic Functional Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2009(1).
    • Handle: RePEc:wly:jnlaaa:v:2009:y:2009:i:1:n:535678
    DOI: 10.1155/2009/535678
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    References listed on IDEAS

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    1. Gwang Hui Kim, 2001. "On the stability of the quadratic mapping in normed spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 25, pages 1-13, January.
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