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Title: | Multiobjective programming under generalized V-type I invexity |
Authors: | Hachem Slimani and Mohammed Said Radjef |
Keywords: | Multiobjective programming Generalized V-type I prob- lem Generalized Karush-Kuhn-Tucker condition Optimality (Properly) efficient point |
Issue Date: | 19-Dec-2013 |
Abstract: | In this paper, we are concerned with a differentiable multiob- jective programming problem with inequality constraints. We introduce new concepts of generalized V-type I invexity problems in which each component of the objective and constraint functions is considered with respect to its own function ηi or θj . In the setting of these definitions, we establish new Karush-Kuhn-Tucker type necessary and sufficient op- timality conditions for a feasible point to be efficient or properly efficient. Furthermore, we show, with examples, that the obtained results allow to prove that a feasible point is an efficient or properly efficient solution even if it is not an usual vector Karush-Kuhn-Tucker point for a multi- objective programming problem |
Description: | 7 ieme Colloque sur l Optimisation et les Systèmes d’Information COSI 2010 18-20 Avril 2010 |
URI: | http://hdl.handle.net/123456789/2633 |
ISSN: | kh |
Appears in Collections: | 1. Faculté des mathématiques et des sciences de la matière |
Files in This Item:
File | Description | Size | Format | |
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Hachem Slimani.pdf | 610,83 kB | Adobe PDF | View/Open |
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