THE CONTINUITY OF EFFICIENT SOLUTIONS ON THE CONE

Chen Yuan · Xitong kexue yu shuxue · 2008

There are many results on the continuity and the stability of efficient solutions in the finite dimensional space.In the present paper,the continuity of efficient solutions of vector optimization is considered in the infinite dimensional space,and a sufficient and necessary condition for the essentiality of efficient solutions on the cone is obtained by using constructive function method,reduction to absurdity and usco.

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