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Hyperstability of the Fréchet equation and a characterization of inner product spaces - MaRDI portal

Hyperstability of the Fréchet equation and a characterization of inner product spaces (Q2443723)

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Hyperstability of the Fréchet equation and a characterization of inner product spaces
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    Hyperstability of the Fréchet equation and a characterization of inner product spaces (English)
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    8 April 2014
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    Summary: We prove some stability and hyperstability results for the well-known Fréchet equation stemming from one of the characterizations of the inner product spaces. As the main tool, we use a fixed point theorem for the function spaces. We finish the paper with some new inequalities characterizing the inner product spaces.
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    stability
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    hyperstability
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    Fréchet equation
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    inner product space
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