Constraint Qualication In Vector Optimization
Mathematics Project Topics
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In this Project some necessary and sucient optimality conditions for thernweakly ecient solutions of vector optimization problems (VOP) with niterninequality constraints are shown by using constraints qualications in dier-rnentiable case. Suitable generalized convexity properties are utilized in thernstudy of constraint qualication in the case of ecient optimality conditions.rnConstraint qualication establishes the sign of multiplier vectors associatedrnwith Fritz-John conditions.The weak constraint qualication,the GeneralizedrnGuignared Constraint Qualication (GGCQ), implies necessary and sucientrncondition by deriving Kuhn-Tucker and Fritz-John Conditions.rnKeywords: Multiobjective optimization, Vector Optimization, Ecient so-rnlution, Constraint Qualication, Optimality Condition and convexityrnfor vector function
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