Fixed Points and Stability of an Additive Functional Equation of n-Apollonius Type in C∗-Algebras
Using the fixed point method, we prove the generalized Hyers-Ulam stability of C∗-algebra homomorphisms and of generalized derivations on C∗-algebras for the following functional equation of Apollonius type ∑i=1nf(z−xi)=−(1/n)∑1≤i<j≤nf(xi+xj)+nf(z−(1/n2)∑i=1nxi).
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| Format: | Article |
| Language: | English |
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Wiley
2008-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2008/672618 |
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| _version_ | 1850237589392457728 |
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| author | Fridoun Moradlou Hamid Vaezi Choonkil Park |
| author_facet | Fridoun Moradlou Hamid Vaezi Choonkil Park |
| author_sort | Fridoun Moradlou |
| collection | DOAJ |
| description | Using the fixed point method, we prove the generalized Hyers-Ulam stability of C∗-algebra homomorphisms and of generalized derivations on C∗-algebras for the following functional equation of Apollonius type ∑i=1nf(z−xi)=−(1/n)∑1≤i<j≤nf(xi+xj)+nf(z−(1/n2)∑i=1nxi). |
| format | Article |
| id | doaj-art-13200b4e88494e4e9543b41988f31c93 |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2008-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-13200b4e88494e4e9543b41988f31c932025-08-20T02:01:42ZengWileyAbstract and Applied Analysis1085-33751687-04092008-01-01200810.1155/2008/672618672618Fixed Points and Stability of an Additive Functional Equation of n-Apollonius Type in C∗-AlgebrasFridoun Moradlou0Hamid Vaezi1Choonkil Park2Faculty of Mathematical Sciences, University of Tabriz, Tabriz, IranFaculty of Mathematical Sciences, University of Tabriz, Tabriz, IranDepartment of Mathematics, Hanyang University, Seoul 133–791, South KoreaUsing the fixed point method, we prove the generalized Hyers-Ulam stability of C∗-algebra homomorphisms and of generalized derivations on C∗-algebras for the following functional equation of Apollonius type ∑i=1nf(z−xi)=−(1/n)∑1≤i<j≤nf(xi+xj)+nf(z−(1/n2)∑i=1nxi).http://dx.doi.org/10.1155/2008/672618 |
| spellingShingle | Fridoun Moradlou Hamid Vaezi Choonkil Park Fixed Points and Stability of an Additive Functional Equation of n-Apollonius Type in C∗-Algebras Abstract and Applied Analysis |
| title | Fixed Points and Stability of an Additive Functional Equation of n-Apollonius Type in C∗-Algebras |
| title_full | Fixed Points and Stability of an Additive Functional Equation of n-Apollonius Type in C∗-Algebras |
| title_fullStr | Fixed Points and Stability of an Additive Functional Equation of n-Apollonius Type in C∗-Algebras |
| title_full_unstemmed | Fixed Points and Stability of an Additive Functional Equation of n-Apollonius Type in C∗-Algebras |
| title_short | Fixed Points and Stability of an Additive Functional Equation of n-Apollonius Type in C∗-Algebras |
| title_sort | fixed points and stability of an additive functional equation of n apollonius type in c∗ algebras |
| url | http://dx.doi.org/10.1155/2008/672618 |
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