Fuzzy stability of the pexiderized quadratic functional equation: A fixed point approach (Q1035108)
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scientific article; zbMATH DE number 5627851
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fuzzy stability of the pexiderized quadratic functional equation: A fixed point approach |
scientific article; zbMATH DE number 5627851 |
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Fuzzy stability of the pexiderized quadratic functional equation: A fixed point approach (English)
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10 November 2009
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\textit{A.\,K.\thinspace Mirmostafaee} and \textit{M.\,S.\thinspace Moslehian} [Result.\ Math.\ 52, No.\, 1--2, 161--177 (2008; Zbl 1157.46048)] obtained a generalized version of fuzzy stability of the pexiderized quadratic functional equation \(f(x+y)+f(x-y)=2g(x)+2h(y)\). The main purpose of this paper is to present an alternative proof of the same, which is based on a fixed point method.
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pexiderized quadratic functional equation
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Hyers-Ulam-Rassias stability
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fixed point
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generalized metric space
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fuzzy normed space
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0.95243025
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0.95032144
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0.9499934
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0.94970834
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0.9479032
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