On Solution and Stability of a Two-Variable Functional Equations
The main purpose of this paper is to investigate the stability of the functional equation f(x+y,y+z)=2f(x/2,y/2)+2f(y/2,z/2) in normed spaces. The solutions of such functional equations are considered.
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2011/527574 |
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| _version_ | 1832560452960256000 |
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| author | Y. J. Cho R. Saadati S. Shabanian S. M. Vaezpour |
| author_facet | Y. J. Cho R. Saadati S. Shabanian S. M. Vaezpour |
| author_sort | Y. J. Cho |
| collection | DOAJ |
| description | The main purpose of this paper is to investigate the stability of the functional equation f(x+y,y+z)=2f(x/2,y/2)+2f(y/2,z/2) in normed spaces. The solutions of such functional equations are considered. |
| format | Article |
| id | doaj-art-c8f03e89eea747fd815db0fb6758f118 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-c8f03e89eea747fd815db0fb6758f1182025-02-03T01:27:35ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2011-01-01201110.1155/2011/527574527574On Solution and Stability of a Two-Variable Functional EquationsY. J. Cho0R. Saadati1S. Shabanian2S. M. Vaezpour3Department of Mathematics Education and RINS, Gyeongsang National University, Chinju 660-701, Republic of KoreaDepartment of Mathematics, Science and Research Branch, Islamic Azad University, Tehran 14778, IranDepartment of Mathematics and Computer Science, Amirkabir University of Technology, 424 Hafez Avenue, Tehran 15914, IranDepartment of Mathematics and Computer Science, Amirkabir University of Technology, 424 Hafez Avenue, Tehran 15914, IranThe main purpose of this paper is to investigate the stability of the functional equation f(x+y,y+z)=2f(x/2,y/2)+2f(y/2,z/2) in normed spaces. The solutions of such functional equations are considered.http://dx.doi.org/10.1155/2011/527574 |
| spellingShingle | Y. J. Cho R. Saadati S. Shabanian S. M. Vaezpour On Solution and Stability of a Two-Variable Functional Equations Discrete Dynamics in Nature and Society |
| title | On Solution and Stability of a Two-Variable Functional Equations |
| title_full | On Solution and Stability of a Two-Variable Functional Equations |
| title_fullStr | On Solution and Stability of a Two-Variable Functional Equations |
| title_full_unstemmed | On Solution and Stability of a Two-Variable Functional Equations |
| title_short | On Solution and Stability of a Two-Variable Functional Equations |
| title_sort | on solution and stability of a two variable functional equations |
| url | http://dx.doi.org/10.1155/2011/527574 |
| work_keys_str_mv | AT yjcho onsolutionandstabilityofatwovariablefunctionalequations AT rsaadati onsolutionandstabilityofatwovariablefunctionalequations AT sshabanian onsolutionandstabilityofatwovariablefunctionalequations AT smvaezpour onsolutionandstabilityofatwovariablefunctionalequations |