Constraint Qualication In Vector Optimization
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Date
2014-06-27
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Addis Ababa University
Abstract
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
Description
Keywords
Multiobjective Optimization, Vector Optimization, E_Cient So- Lution, Constraint Quali_Cation, Optimality Condition and Convexity, For Vector Function