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https://dspace.univ-ouargla.dz/jspui/handle/123456789/11895
Title: | Multiobjective programming under generalized V-type I invexity |
Authors: | Hachem, Slimani Mohammed Said, Radjef |
Keywords: | Multiobjective programming Generalized V-type I problem Generalized Karush-Kuhn-Tucker condition Optimality (Properly) efficient point |
Issue Date: | 3-Nov-2016 |
Series/Report no.: | 2015; |
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. |
Description: | Laboratory of Modeling and Optimization of Systems (LAMOS) Operational Research Department, University of Bejaia, 06000 Bejaia, Algeria, |
URI: | http://dspace.univ-ouargla.dz/jspui/handle/123456789/11895 |
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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