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DC Field | Value | Language |
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dc.contributor.author | Hachem, Slimani | - |
dc.contributor.author | Mohammed Said, Radjef | - |
dc.date.accessioned | 2016-11-03T08:11:42Z | - |
dc.date.available | 2016-11-03T08:11:42Z | - |
dc.date.issued | 2016-11-03 | - |
dc.identifier.uri | http://dspace.univ-ouargla.dz/jspui/handle/123456789/11895 | - |
dc.description | Laboratory of Modeling and Optimization of Systems (LAMOS) Operational Research Department, University of Bejaia, 06000 Bejaia, Algeria, | en_US |
dc.description.abstract | Abstract. In this paper, we are concerned with a differentiable multiobjective 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 η i or θ . In the setting of these definitions, we establish new Karush-Kuhn-Tucker type necessary and sufficient optimality 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 multiobjective programming problem. | en_US |
dc.description.sponsorship | univ ouargla | en_US |
dc.language.iso | en | en_US |
dc.relation.ispartofseries | 2015; | - |
dc.subject | Multiobjective programming | en_US |
dc.subject | Generalized V-type I problem | en_US |
dc.subject | Generalized Karush-Kuhn-Tucker condition | en_US |
dc.subject | Optimality | en_US |
dc.subject | (Properly) efficient point | en_US |
dc.title | Multiobjective programming under generalized V-type I invexity | en_US |
dc.type | Article | en_US |
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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Multiobjective programming under generalized vtype i invexity.pdf | 611,75 kB | Adobe PDF | View/Open |
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