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 |
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Hindawi Limited
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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Article |
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doaj-900dd868dd094b449e55b7e87dcb0ec92020-11-24T20:49:06ZengHindawi LimitedInternational 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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Alexander J. Zaslavski |
| spellingShingle |
Alexander J. Zaslavski A density result in vector optimization International Journal of Mathematics and Mathematical Sciences |
| author_facet |
Alexander J. Zaslavski |
| author_sort |
Alexander J. Zaslavski |
| title |
A density result in vector optimization |
| title_short |
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_sort |
density result in vector optimization |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2006-01-01 |
| 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. |
| url |
http://dx.doi.org/10.1155/IJMMS/2006/29135 |
| work_keys_str_mv |
AT alexanderjzaslavski adensityresultinvectoroptimization AT alexanderjzaslavski densityresultinvectoroptimization |
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1716806771210715136 |