On the hyperstablity of a functional equation in commutative groups (Q2792430)
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scientific article; zbMATH DE number 6554631
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the hyperstablity of a functional equation in commutative groups |
scientific article; zbMATH DE number 6554631 |
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11 March 2016
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Hyers-Ulam stability
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fixed point method
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complete metric space
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hyperstablity
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0.9534297
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0.94508785
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0.9217804
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0.92161393
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0.91687775
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On the hyperstablity of a functional equation in commutative groups (English)
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The authors prove hyperstability of the functional equation NEWLINE\[NEWLINEf(ax+by)=\frac{a+b}{2}f(x+y)+\frac{a-b}{2}f(x-y),NEWLINE\]NEWLINE where \(a, b\) are distinct integers greater than \(1\) in the setting of commutative groups by using the fixed point method. For more information about types of stability the interested reader is referred to the paper by \textit{J. Brzdęk} et al. [Banach J. Math. Anal. 9, No. 3, 278--326 (2015; Zbl 1312.39031)].
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