Stability of an n-Dimensional Mixed-Type Additive and Quadratic Functional Equation in Random Normed Spaces
We investigate the stability problems for the n-dimensional mixed-type additive and quadratic functional equation 2f(∑j=1nxj)+∑1≤i,j≤n, i≠jf(xi-xj)=(n+1)∑j=1nf(xj)+(n-1)∑j=1nf(-xj) in random normed spaces by applying the fixed point method.
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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: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/547865 |
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| _version_ | 1849411858331598848 |
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| author | Yang-Hi Lee Soon-Mo Jung |
| author_facet | Yang-Hi Lee Soon-Mo Jung |
| author_sort | Yang-Hi Lee |
| collection | DOAJ |
| description | We investigate the stability problems for the n-dimensional mixed-type additive and quadratic functional equation 2f(∑j=1nxj)+∑1≤i,j≤n, i≠jf(xi-xj)=(n+1)∑j=1nf(xj)+(n-1)∑j=1nf(-xj) in random normed spaces by applying the fixed point method. |
| format | Article |
| id | doaj-art-59e588889a254aceba3471141b973c6f |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-59e588889a254aceba3471141b973c6f2025-08-20T03:34:38ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/547865547865Stability of an n-Dimensional Mixed-Type Additive and Quadratic Functional Equation in Random Normed SpacesYang-Hi Lee0Soon-Mo Jung1Department of Mathematics Education, Gongju National University of Education, Gongju 314-711, Republic of KoreaMathematics Section, College of Science and Technology, Hongik University, Jochiwon 339-701, Republic of KoreaWe investigate the stability problems for the n-dimensional mixed-type additive and quadratic functional equation 2f(∑j=1nxj)+∑1≤i,j≤n, i≠jf(xi-xj)=(n+1)∑j=1nf(xj)+(n-1)∑j=1nf(-xj) in random normed spaces by applying the fixed point method.http://dx.doi.org/10.1155/2012/547865 |
| spellingShingle | Yang-Hi Lee Soon-Mo Jung Stability of an n-Dimensional Mixed-Type Additive and Quadratic Functional Equation in Random Normed Spaces Journal of Applied Mathematics |
| title | Stability of an n-Dimensional Mixed-Type Additive and Quadratic Functional Equation in Random Normed Spaces |
| title_full | Stability of an n-Dimensional Mixed-Type Additive and Quadratic Functional Equation in Random Normed Spaces |
| title_fullStr | Stability of an n-Dimensional Mixed-Type Additive and Quadratic Functional Equation in Random Normed Spaces |
| title_full_unstemmed | Stability of an n-Dimensional Mixed-Type Additive and Quadratic Functional Equation in Random Normed Spaces |
| title_short | Stability of an n-Dimensional Mixed-Type Additive and Quadratic Functional Equation in Random Normed Spaces |
| title_sort | stability of an n dimensional mixed type additive and quadratic functional equation in random normed spaces |
| url | http://dx.doi.org/10.1155/2012/547865 |
| work_keys_str_mv | AT yanghilee stabilityofanndimensionalmixedtypeadditiveandquadraticfunctionalequationinrandomnormedspaces AT soonmojung stabilityofanndimensionalmixedtypeadditiveandquadraticfunctionalequationinrandomnormedspaces |