The Optimality Conditons and Existence of Lagrange Multipliers of the Nearly Subconvexlike Vector Optimization of Set-Maps

LI Ze-min · Journal of Shanxi Normal University · 2010

In order linear space,the mathematics models for vector optimization problems of nearly subconvexlike set-valued maps are established.By the theorem of alternative,the optimality sufficient condition and necessary condition and the theorems of scalarization and existence of Lagrange multipliers for the vector optimization of nearly subconvexlike set-valued maps are established in the sense of the weakly efficient solution.

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