Abebe, Taye (2014) Constraint Qualification in Vector Optimization. Masters thesis, Addis Ababa University.
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Abstract
In this Project some necessary and sufficient optimality conditions for the weakly efficient solutions of vector optimization problems (VOP) with finite inequality constraints are shown by using constraints qualifications in differentiable case. Suitable generalized convexity properties are utilized in the study of constraint qualification in the case of efficient optimality conditions. Constraint qualification establishes the sign of multiplier vectors associated with Fritz-John conditions.The weak constraint qualification,the Generalized Guignared Constraint Qualification (GGCQ), implies necessary and sufficient condition by deriving Kuhn-Tucker and Fritz-John Conditions.
| Item Type: | Thesis (Masters) |
|---|---|
| Uncontrolled Keywords: | Multiobjective optimization, Vector Optimization, Efficient solution, Constraint Qualification, Optimality Condition and convexity for vector function. |
| Subjects: | Q Science > Q Science (General) Q Science > QA Mathematics |
| Divisions: | Africana |
| Depositing User: | Selom Ghislain |
| Date Deposited: | 22 Jun 2018 12:49 |
| Last Modified: | 22 Jun 2018 12:49 |
| URI: | http://thesisbank.jhia.ac.ke/id/eprint/4261 |
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