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中文摘要：
集值映射向量优化问题是最优化理论中的一个重要方向．在集值映射为生成锥内部-锥-类凸（简记为ic-锥类凸）的假设条件下，利用择一定理，给出了集值映射向量优化问题ε-弱有效解和ε-有效解的最优性条件和ε-Lagrange乘子定理，是弱有效解和有效解相应结果的推广．
英文摘要：
Vector optimization problems with set-valued maps are important issues in the optimization theory. In this paper, we deal with vector optimization problem with ic-cone- convexlike set-valued maps. By using the alternative theorem, we obtain the necessary condi- tions and ε-Lagrange multiplier theorems for E-weakly efficient solution and ε-efficient solution for a class of vector optimization problems. Our results are the generalization of the corre- sponding results about weakly efficient solutian and efficient solution.
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