A density result in vector optimization
We study a class of vector minimization problems on a complete metric space such that all its bounded closed subsets are compact. We show that a subclass of minimization problems with a nonclosed set of minimal values is dense in the whole class of minimization problems.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/29135 |
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| _version_ | 1850211715272146944 |
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| author | Alexander J. Zaslavski |
| author_facet | Alexander J. Zaslavski |
| author_sort | Alexander J. Zaslavski |
| collection | DOAJ |
| description | We study a class of vector minimization problems
on a complete metric space such that all its bounded closed
subsets are compact. We show that a subclass of minimization
problems with a nonclosed set of minimal values is dense in
the whole class of minimization problems. |
| format | Article |
| id | doaj-art-900dd868dd094b449e55b7e87dcb0ec9 |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-900dd868dd094b449e55b7e87dcb0ec92025-08-20T02:09:30ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/2913529135A density result in vector optimizationAlexander J. Zaslavski0Department of Mathematics, The Technion-Israel Institute of Technology, Haifa 32000, IsraelWe study a class of vector minimization problems on a complete metric space such that all its bounded closed subsets are compact. We show that a subclass of minimization problems with a nonclosed set of minimal values is dense in the whole class of minimization problems.http://dx.doi.org/10.1155/IJMMS/2006/29135 |
| spellingShingle | Alexander J. Zaslavski A density result in vector optimization International Journal of Mathematics and Mathematical Sciences |
| title | A density result in vector optimization |
| title_full | A density result in vector optimization |
| title_fullStr | A density result in vector optimization |
| title_full_unstemmed | A density result in vector optimization |
| title_short | A density result in vector optimization |
| title_sort | density result in vector optimization |
| url | http://dx.doi.org/10.1155/IJMMS/2006/29135 |
| work_keys_str_mv | AT alexanderjzaslavski adensityresultinvectoroptimization AT alexanderjzaslavski densityresultinvectoroptimization |