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《Acta Analysis Functionalis Applicata》 2013-01
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Generalized Gradient and Optimality Conditions of ε-Strictly Efficient Solutions

YU Li Institute of Mathematics and Computer of Science,Yichun University,Yichun 336000,China  
A kind of generalized gradient for set-valued map is introduced in ordered Banach spaces. Under the connected condition,its existence is proved by the separation theorem for convex sets. As an application,the optimality necessary and sufficient conditions ofε-strictly efficient solution for set-valued optimization problem are established in terms of the generalized gradient.
【Fund】: 江西省自然科学基金(0611081)
【CateGory Index】: O224
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