• 제목/요약/키워드: functional equation related to inner product space

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FUZZY STABILITY OF AN ADDITIVE-QUADRATIC FUNCTIONAL EQUATION WITH THE FIXED POINT ALTERNATIVE

  • SEO, JEONG PIL;LEE, SUNGJIN;SAADATI, REZA
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제22권3호
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    • pp.285-298
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    • 2015
  • In [41], Th.M. Rassias proved that the norm defined over a real vector space V is induced by an inner product if and only if for a fixed positive integer l holds for all x1, ⋯ , x2l ∈ V . For the above equality, we can define the following functional equation Using the fixed point method, we prove the Hyers-Ulam stability of the functional equation (0.1) in fuzzy Banach spaces.