Continuous-Time Multiobjective Optimization Problems via Invexity
We introduce some concepts of generalized invexity for the continuous-time multiobjective programming problems, namely, the concepts of Karush-Kuhn-Tucker invexity and Karush-Kuhn-Tucker pseudoinvexity. Using the concept of Karush-Kuhn-Tucker invexity, we study the relationship of the multiobjective...
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| Format: | Article |
| Language: | English |
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Wiley
2007-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2007/61296 |
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| author | Valeriano A. De Oliveira Marko A. Rojas-Medar |
| author_facet | Valeriano A. De Oliveira Marko A. Rojas-Medar |
| author_sort | Valeriano A. De Oliveira |
| collection | DOAJ |
| description | We introduce some concepts of generalized invexity for the continuous-time multiobjective programming problems, namely, the concepts of Karush-Kuhn-Tucker invexity and
Karush-Kuhn-Tucker pseudoinvexity. Using the concept of Karush-Kuhn-Tucker invexity, we study the relationship of the multiobjective problems with some related scalar problems. Further, we
show that Karush-Kuhn-Tucker pseudoinvexity is a necessary and suffcient condition for a vector Karush-Kuhn-Tucker solution
to be a weakly efficient solution. |
| format | Article |
| id | doaj-art-917ad9bb3789431fafc7b2eeae57ce7c |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2007-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-917ad9bb3789431fafc7b2eeae57ce7c2025-02-03T06:14:11ZengWileyAbstract and Applied Analysis1085-33751687-04092007-01-01200710.1155/2007/6129661296Continuous-Time Multiobjective Optimization Problems via InvexityValeriano A. De Oliveira0Marko A. Rojas-Medar1Departamento de Matemática Aplicada, Instituto de Matemática, Estatística e Computação Científica, UNICAMP, UNICAMP, CP 6065, Campinas, SP 13083-859, BrazilDepartamento de Matemática Aplicada, Instituto de Matemática, Estatística e Computação Científica, UNICAMP, UNICAMP, CP 6065, Campinas, SP 13083-859, BrazilWe introduce some concepts of generalized invexity for the continuous-time multiobjective programming problems, namely, the concepts of Karush-Kuhn-Tucker invexity and Karush-Kuhn-Tucker pseudoinvexity. Using the concept of Karush-Kuhn-Tucker invexity, we study the relationship of the multiobjective problems with some related scalar problems. Further, we show that Karush-Kuhn-Tucker pseudoinvexity is a necessary and suffcient condition for a vector Karush-Kuhn-Tucker solution to be a weakly efficient solution.http://dx.doi.org/10.1155/2007/61296 |
| spellingShingle | Valeriano A. De Oliveira Marko A. Rojas-Medar Continuous-Time Multiobjective Optimization Problems via Invexity Abstract and Applied Analysis |
| title | Continuous-Time Multiobjective Optimization Problems via Invexity |
| title_full | Continuous-Time Multiobjective Optimization Problems via Invexity |
| title_fullStr | Continuous-Time Multiobjective Optimization Problems via Invexity |
| title_full_unstemmed | Continuous-Time Multiobjective Optimization Problems via Invexity |
| title_short | Continuous-Time Multiobjective Optimization Problems via Invexity |
| title_sort | continuous time multiobjective optimization problems via invexity |
| url | http://dx.doi.org/10.1155/2007/61296 |
| work_keys_str_mv | AT valerianoadeoliveira continuoustimemultiobjectiveoptimizationproblemsviainvexity AT markoarojasmedar continuoustimemultiobjectiveoptimizationproblemsviainvexity |