Convexité au sens direct ou inverse et applications dans l'optimisation vectorielle
(in English) The aim of this paper is to study vector optimization poblems involving objective functions which are convex in some direct or inverse sense (i.e. a special class of cone-quasiconvex functions). In particular, it is shown that the image of the objective function is a cone-convex set, p...
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| Format: | Article |
| Language: | English |
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Publishing House of the Romanian Academy
2000-02-01
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| Series: | Journal of Numerical Analysis and Approximation Theory |
| Online Access: | https://ictp.acad.ro/jnaat/journal/article/view/656 |
| _version_ | 1818529310799036416 |
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| author | Nicolae Popovici |
| author_facet | Nicolae Popovici |
| author_sort | Nicolae Popovici |
| collection | DOAJ |
| description |
(in English) The aim of this paper is to study vector optimization poblems involving objective functions which are convex in some direct or inverse sense (i.e. a special class of cone-quasiconvex functions). In particular, it is shown that the image of the objective function is a cone-convex set, property which is important from the scalarization point of view in vector optimization.
(in French) Le but de cet article est d'etudier les problemes d'optimisation vectorielles ayant des fonctions objectifs convexes au sens direct ou inverse. Il s'agit notamment de donner des conditions suffisantes pour que l'image d'un ensemble convexe par des fonction objectifs cone-quasiconvexes soit un ensemble cone-convexe, propriete qui joue un role important dans la plupart des methodes de scalarisation utilisees dans l'optimisation vectorielle.
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| first_indexed | 2024-12-11T17:05:15Z |
| format | Article |
| id | doaj.art-d29c7865fb6d4f4c934c807be7a12bd2 |
| institution | Directory Open Access Journal |
| issn | 2457-6794 2501-059X |
| language | English |
| last_indexed | 2024-12-11T17:05:15Z |
| publishDate | 2000-02-01 |
| publisher | Publishing House of the Romanian Academy |
| record_format | Article |
| series | Journal of Numerical Analysis and Approximation Theory |
| spelling | doaj.art-d29c7865fb6d4f4c934c807be7a12bd22022-12-22T00:57:43ZengPublishing House of the Romanian AcademyJournal of Numerical Analysis and Approximation Theory2457-67942501-059X2000-02-01291Convexité au sens direct ou inverse et applications dans l'optimisation vectorielleNicolae Popovici0Babeş-Bolyai University, Cluj-Napoca (in English) The aim of this paper is to study vector optimization poblems involving objective functions which are convex in some direct or inverse sense (i.e. a special class of cone-quasiconvex functions). In particular, it is shown that the image of the objective function is a cone-convex set, property which is important from the scalarization point of view in vector optimization. (in French) Le but de cet article est d'etudier les problemes d'optimisation vectorielles ayant des fonctions objectifs convexes au sens direct ou inverse. Il s'agit notamment de donner des conditions suffisantes pour que l'image d'un ensemble convexe par des fonction objectifs cone-quasiconvexes soit un ensemble cone-convexe, propriete qui joue un role important dans la plupart des methodes de scalarisation utilisees dans l'optimisation vectorielle. https://ictp.acad.ro/jnaat/journal/article/view/656 |
| spellingShingle | Nicolae Popovici Convexité au sens direct ou inverse et applications dans l'optimisation vectorielle Journal of Numerical Analysis and Approximation Theory |
| title | Convexité au sens direct ou inverse et applications dans l'optimisation vectorielle |
| title_full | Convexité au sens direct ou inverse et applications dans l'optimisation vectorielle |
| title_fullStr | Convexité au sens direct ou inverse et applications dans l'optimisation vectorielle |
| title_full_unstemmed | Convexité au sens direct ou inverse et applications dans l'optimisation vectorielle |
| title_short | Convexité au sens direct ou inverse et applications dans l'optimisation vectorielle |
| title_sort | convexite au sens direct ou inverse et applications dans l optimisation vectorielle |
| url | https://ictp.acad.ro/jnaat/journal/article/view/656 |
| work_keys_str_mv | AT nicolaepopovici convexiteausensdirectouinverseetapplicationsdansloptimisationvectorielle |