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Stability of multi-additive mappings in \(\beta\)-Banach spaces - MaRDI portal

Stability of multi-additive mappings in \(\beta\)-Banach spaces (Q423660)

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scientific article; zbMATH DE number 6042444
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English
Stability of multi-additive mappings in \(\beta\)-Banach spaces
scientific article; zbMATH DE number 6042444

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    Stability of multi-additive mappings in \(\beta\)-Banach spaces (English)
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    4 June 2012
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    Using both direct and fixed-point methods, the generalized Hyers-Ulam stability of the system defining multi-additive mappings and an equation which characterizes these mappings in \(\beta\)-Banach spaces is proved.
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    stability
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    multi-additive mapping
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    \(\beta \)-normed space
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    direct method
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    fixed point method
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    generalized Hyers-Ulam stability
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