Nearly Quadratic n-Derivations on Non-Archimedean Banach Algebras
Let n>1 be an integer, let A be an algebra, and X be an A-module. A quadratic function D:A→X is called a quadratic n-derivation if D(∏i=1nai)=D(a1)a22⋯an2+a12D(a2)a32⋯an2+⋯+a12a22⋯an−12D(an) for all a1,...,an∈A. We investigate the Hyers-Ulam stability of quadratic n-derivations from non-Archimede...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2012/961642 |
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| author | Madjid Eshaghi Gordji Badrkhan Alizadeh Young Whan Lee Gwang Hui Kim |
| author_facet | Madjid Eshaghi Gordji Badrkhan Alizadeh Young Whan Lee Gwang Hui Kim |
| author_sort | Madjid Eshaghi Gordji |
| collection | DOAJ |
| description | Let n>1 be an integer, let A be an algebra, and X be an A-module. A quadratic function D:A→X is called a quadratic n-derivation if D(∏i=1nai)=D(a1)a22⋯an2+a12D(a2)a32⋯an2+⋯+a12a22⋯an−12D(an) for all a1,...,an∈A. We investigate the Hyers-Ulam stability of quadratic n-derivations from non-Archimedean Banach algebras into non-Archimedean Banach modules by using the Banach fixed point theorem. |
| format | Article |
| id | doaj-art-c0511d32504748b5a5d7e31df9be6f83 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-c0511d32504748b5a5d7e31df9be6f832025-02-03T01:33:13ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2012-01-01201210.1155/2012/961642961642Nearly Quadratic n-Derivations on Non-Archimedean Banach AlgebrasMadjid Eshaghi Gordji0Badrkhan Alizadeh1Young Whan Lee2Gwang Hui Kim3Department of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, IranTechnical and Vocational University of Iran, Technical and Vocational Faculty of Tabriz, P.O. Box 51745-135, Tabriz, IranDepartment of Computer Hacking and Information Security, Daejeon University, Dong-gu, Daejeon 300-716, Republic of KoreaDepartment of Mathematics, Kangnam University, Yongin, Gyeonggi 446-702, Republic of KoreaLet n>1 be an integer, let A be an algebra, and X be an A-module. A quadratic function D:A→X is called a quadratic n-derivation if D(∏i=1nai)=D(a1)a22⋯an2+a12D(a2)a32⋯an2+⋯+a12a22⋯an−12D(an) for all a1,...,an∈A. We investigate the Hyers-Ulam stability of quadratic n-derivations from non-Archimedean Banach algebras into non-Archimedean Banach modules by using the Banach fixed point theorem.http://dx.doi.org/10.1155/2012/961642 |
| spellingShingle | Madjid Eshaghi Gordji Badrkhan Alizadeh Young Whan Lee Gwang Hui Kim Nearly Quadratic n-Derivations on Non-Archimedean Banach Algebras Discrete Dynamics in Nature and Society |
| title | Nearly Quadratic n-Derivations on Non-Archimedean Banach Algebras |
| title_full | Nearly Quadratic n-Derivations on Non-Archimedean Banach Algebras |
| title_fullStr | Nearly Quadratic n-Derivations on Non-Archimedean Banach Algebras |
| title_full_unstemmed | Nearly Quadratic n-Derivations on Non-Archimedean Banach Algebras |
| title_short | Nearly Quadratic n-Derivations on Non-Archimedean Banach Algebras |
| title_sort | nearly quadratic n derivations on non archimedean banach algebras |
| url | http://dx.doi.org/10.1155/2012/961642 |
| work_keys_str_mv | AT madjideshaghigordji nearlyquadraticnderivationsonnonarchimedeanbanachalgebras AT badrkhanalizadeh nearlyquadraticnderivationsonnonarchimedeanbanachalgebras AT youngwhanlee nearlyquadraticnderivationsonnonarchimedeanbanachalgebras AT gwanghuikim nearlyquadraticnderivationsonnonarchimedeanbanachalgebras |