Approximate Homomorphisms and Derivations on Normed Lie Triple Systems
We investigate the generalized Hyers-Ulam stability of homomorphisms and derivations on normed Lie triple systems for the following generalized Cauchy-Jensen additive equation r0f((s∑j=1pxj+t∑j=1dyj)/r0)=s∑j=1pf(xj)+t∑j=1df(yj), where r0,s, and t are nonzero real numbers. As a results, we general...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2014/754291 |
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| _version_ | 1832552084881276928 |
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| author | Hark-Mahn Kim Juri Lee |
| author_facet | Hark-Mahn Kim Juri Lee |
| author_sort | Hark-Mahn Kim |
| collection | DOAJ |
| description | We investigate the generalized Hyers-Ulam stability of homomorphisms and derivations on normed Lie triple systems for the following generalized Cauchy-Jensen additive equation r0f((s∑j=1pxj+t∑j=1dyj)/r0)=s∑j=1pf(xj)+t∑j=1df(yj), where r0,s, and t are nonzero real numbers. As a results, we generalize some stability results concerning this equation. |
| format | Article |
| id | doaj-art-744ec17843874cd28e9f8c4273e0f022 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-744ec17843874cd28e9f8c4273e0f0222025-02-03T05:59:38ZengWileyJournal of Function Spaces2314-88962314-88882014-01-01201410.1155/2014/754291754291Approximate Homomorphisms and Derivations on Normed Lie Triple SystemsHark-Mahn Kim0Juri Lee1Department of Mathematics, Chungnam National University, Daejeon 305-764, Republic of KoreaDepartment of Mathematics, Chungnam National University, Daejeon 305-764, Republic of KoreaWe investigate the generalized Hyers-Ulam stability of homomorphisms and derivations on normed Lie triple systems for the following generalized Cauchy-Jensen additive equation r0f((s∑j=1pxj+t∑j=1dyj)/r0)=s∑j=1pf(xj)+t∑j=1df(yj), where r0,s, and t are nonzero real numbers. As a results, we generalize some stability results concerning this equation.http://dx.doi.org/10.1155/2014/754291 |
| spellingShingle | Hark-Mahn Kim Juri Lee Approximate Homomorphisms and Derivations on Normed Lie Triple Systems Journal of Function Spaces |
| title | Approximate Homomorphisms and Derivations on Normed Lie Triple Systems |
| title_full | Approximate Homomorphisms and Derivations on Normed Lie Triple Systems |
| title_fullStr | Approximate Homomorphisms and Derivations on Normed Lie Triple Systems |
| title_full_unstemmed | Approximate Homomorphisms and Derivations on Normed Lie Triple Systems |
| title_short | Approximate Homomorphisms and Derivations on Normed Lie Triple Systems |
| title_sort | approximate homomorphisms and derivations on normed lie triple systems |
| url | http://dx.doi.org/10.1155/2014/754291 |
| work_keys_str_mv | AT harkmahnkim approximatehomomorphismsandderivationsonnormedlietriplesystems AT jurilee approximatehomomorphismsandderivationsonnormedlietriplesystems |