Intuitionistic fuzzy stability of functional equations associated with inner product spaces (Q657126)

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scientific article; zbMATH DE number 5997798
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Intuitionistic fuzzy stability of functional equations associated with inner product spaces
scientific article; zbMATH DE number 5997798

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    Intuitionistic fuzzy stability of functional equations associated with inner product spaces (English)
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    16 January 2012
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    Summary: In intuitionistic fuzzy normed spaces, we investigate some stability results for the functional equation \[ \sum^n_{i=1} f(x_i - (1/n) \sum^n_{j=1} x_j) = \sum^n_{i=1} f(x_i) - nf((1/n) \sum^n_{i=1} x_i), \] which is said to be a functional equation associated with an inner products space.
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    inner product spaces
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    intuitionistic fuzzy normed spaces
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    functional equation
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