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The Characterization of Strong-Efficient Solution of Set-Valued Vector Optimization with Generalized Gradient

FU Yong(Institute of Mathematics and Computer of Science Yichun University,Yichun Jiangxi 336000,China)  
The concept of the generalized gradient in sense of strong efficiency is introduced by epiderivative for a set-valued map in ordered Banach spaces.Under the condition of lower semicontinuous,its existence is proved by the separation theorem for convex sets;Thus the optimality condition of strong-efficient solution of set-valued optimization problems is established in the sense of generalized gradient.
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