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Duality in vector optimization
This book presents fundamentals and comprehensive results regarding duality for scalar, vector and set-valued optimization problems in a general setting. After a preliminary chapter dedicated to convex analysis and minimality notions of sets with respect to partial orderings induced by convex cones...
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| Lenguaje: | eng |
| Publicado: |
Springer
2009
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| Acceso en línea: | https://dx.doi.org/10.1007/978-3-642-02886-1 http://cds.cern.ch/record/1609858 |
| _version_ | 1780931975108886528 |
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| author | Bot, Radu Ioan |
| author_facet | Bot, Radu Ioan |
| author_sort | Bot, Radu Ioan |
| collection | CERN |
| description | This book presents fundamentals and comprehensive results regarding duality for scalar, vector and set-valued optimization problems in a general setting. After a preliminary chapter dedicated to convex analysis and minimality notions of sets with respect to partial orderings induced by convex cones a chapter on scalar conjugate duality follows. Then investigations on vector duality based on scalar conjugacy are made. Weak, strong and converse duality statements are delivered and connections to classical results from the literature are emphasized. One chapter is exclusively consecrated to the s |
| id | cern-1609858 |
| institution | Organización Europea para la Investigación Nuclear |
| language | eng |
| publishDate | 2009 |
| publisher | Springer |
| record_format | invenio |
| spelling | cern-16098582021-04-21T22:15:52Zdoi:10.1007/978-3-642-02886-1http://cds.cern.ch/record/1609858engBot, Radu IoanDuality in vector optimizationMathematical Physics and Mathematics This book presents fundamentals and comprehensive results regarding duality for scalar, vector and set-valued optimization problems in a general setting. After a preliminary chapter dedicated to convex analysis and minimality notions of sets with respect to partial orderings induced by convex cones a chapter on scalar conjugate duality follows. Then investigations on vector duality based on scalar conjugacy are made. Weak, strong and converse duality statements are delivered and connections to classical results from the literature are emphasized. One chapter is exclusively consecrated to the sSpringeroai:cds.cern.ch:16098582009 |
| spellingShingle | Mathematical Physics and Mathematics Bot, Radu Ioan Duality in vector optimization |
| title | Duality in vector optimization |
| title_full | Duality in vector optimization |
| title_fullStr | Duality in vector optimization |
| title_full_unstemmed | Duality in vector optimization |
| title_short | Duality in vector optimization |
| title_sort | duality in vector optimization |
| topic | Mathematical Physics and Mathematics |
| url | https://dx.doi.org/10.1007/978-3-642-02886-1 http://cds.cern.ch/record/1609858 |
| work_keys_str_mv | AT botraduioan dualityinvectoroptimization |