• 제목/요약/키워드: contractively subadditive

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GENERALIZED HYERS-ULAM-RASSIAS STABILITY FOR A GENERAL ADDITIVE FUNCTIONAL EQUATION IN QUASI-β-NORMED SPACES

  • Moradlou, Fridoun;Rassias, Themistocles M.
    • 대한수학회보
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    • 제50권6호
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    • pp.2061-2070
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    • 2013

  • In this paper, we investigate the generalized HyersUlam-Rassias stability of the following additive functional equation $$2\sum_{j=1}^{n}f(\frac{x_j}{2}+\sum_{i=1,i{\neq}j}^{n}\;x_i)+\sum_{j=1}^{n}f(x_j)=2nf(\sum_{j=1}^{n}x_j)$$, in quasi-${\beta}$-normed spaces.

  • https://doi.org/10.4134/BKMS.2013.50.6.2061 인용 PDF KSCI