Browsing by Author "Taye, Abebe"

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    Constraint Qualication In Vector Optimization
    (Addis Ababa University, 2014-06-27) Taye, Abebe; Mitiku, Semu (PhD)
    In this Project some necessary and sucient optimality conditions for the weakly ecient solutions of vector optimization problems (VOP) with nite inequality constraints are shown by using constraints qualications in dier- entiable case. Suitable generalized convexity properties are utilized in the study of constraint qualication in the case of ecient optimality conditions. Constraint qualication establishes the sign of multiplier vectors associated with Fritz-John conditions.The weak constraint qualication,the Generalized Guignared Constraint Qualication (GGCQ), implies necessary and sucient condition by deriving Kuhn-Tucker and Fritz-John Conditions. Keywords: Multiobjective optimization, Vector Optimization, Ecient so- lution, Constraint Qualication, Optimality Condition and convexity for vector function