Stability of the n-Dimensional Mixed-Type Additive and Quadratic Functional Equation in Non-Archimedean Normed Spaces
We will prove the stability of the functional equation 2f(∑i=1nxi)+∑1≤i,j≤n,i≠jf(xi-xj)=(n+1)∑i=1nf(xi)+(n-1)∑i=1nf(-xi) in non-Archimedean normed spaces.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/401762 |
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| author | Yang-Hi Lee Soon-Mo Jung Themistocles M. Rassias |
| author_facet | Yang-Hi Lee Soon-Mo Jung Themistocles M. Rassias |
| author_sort | Yang-Hi Lee |
| collection | DOAJ |
| description | We will prove the stability of the functional equation 2f(∑i=1nxi)+∑1≤i,j≤n,i≠jf(xi-xj)=(n+1)∑i=1nf(xi)+(n-1)∑i=1nf(-xi) in non-Archimedean normed spaces. |
| format | Article |
| id | doaj-art-8c78cc2022ac45ab9c7761dd4653d43d |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-8c78cc2022ac45ab9c7761dd4653d43d2025-02-03T05:54:17ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/401762401762Stability of the n-Dimensional Mixed-Type Additive and Quadratic Functional Equation in Non-Archimedean Normed SpacesYang-Hi Lee0Soon-Mo Jung1Themistocles M. Rassias2Department of Mathematics Education, Gongju National University of Education, Gongju 314-711, Republic of KoreaMathematics Section, College of Science and Technology, Hongik University, 339-701 Jochiwon, Republic of KoreaDepartment of Mathematics, National Technical University of Athens, Zografou Campus, 15780 Athens, GreeceWe will prove the stability of the functional equation 2f(∑i=1nxi)+∑1≤i,j≤n,i≠jf(xi-xj)=(n+1)∑i=1nf(xi)+(n-1)∑i=1nf(-xi) in non-Archimedean normed spaces.http://dx.doi.org/10.1155/2012/401762 |
| spellingShingle | Yang-Hi Lee Soon-Mo Jung Themistocles M. Rassias Stability of the n-Dimensional Mixed-Type Additive and Quadratic Functional Equation in Non-Archimedean Normed Spaces Abstract and Applied Analysis |
| title | Stability of the n-Dimensional Mixed-Type Additive and Quadratic Functional Equation in Non-Archimedean Normed Spaces |
| title_full | Stability of the n-Dimensional Mixed-Type Additive and Quadratic Functional Equation in Non-Archimedean Normed Spaces |
| title_fullStr | Stability of the n-Dimensional Mixed-Type Additive and Quadratic Functional Equation in Non-Archimedean Normed Spaces |
| title_full_unstemmed | Stability of the n-Dimensional Mixed-Type Additive and Quadratic Functional Equation in Non-Archimedean Normed Spaces |
| title_short | Stability of the n-Dimensional Mixed-Type Additive and Quadratic Functional Equation in Non-Archimedean Normed Spaces |
| title_sort | stability of the n dimensional mixed type additive and quadratic functional equation in non archimedean normed spaces |
| url | http://dx.doi.org/10.1155/2012/401762 |
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