Stability of a generalization of the Fréchet functional equation
We prove some stability and hyperstability results for a generalization of the well known Fréchet functional 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 end the paper with some new inequa...
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| Format: | Article |
| Language: | deu |
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Wydawnictwo Naukowe Uniwersytetu Pedagogicznego
2015-07-01
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| Series: | Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica |
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| Online Access: | http://studmath.up.krakow.pl/index.php/studmath/article/view/200 |
| Summary: | We prove some stability and hyperstability results for a generalization of the well known Fréchet functional 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 end the paper with some new inequalities characterizing the inner product spaces. |
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| ISSN: | 2081-545X 2300-133X |