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中文摘要：
在不需要紧性假设下，利用拟C-凸函数及回收锥的性质，建立了向量优化问题有效点集的稳定性，获得了一列目标函数和可行集均扰动情形下的向量优化问题与对应的向量优化问题有效点集的Painlevé一Kuratowski内收敛性结果．所得结果推广和改进了相关文献（Attouch H，Riahi H．Stability results for Ekeland’s ε-variational principle and cone extremal solution；Huang X X．Stability in vector-valued and set-valued optimization）中的相应结果，并给出例子说明了所得结果的正确性．
英文摘要：
By using quasi C-convex function and recession cone property, the stability of effi- cient points sets to vector optimization problems without the assumption of compactness was established. The lower part of the Palnlevé-Kuratowski convergence of the sets for efficient points of perturbed problems to the corresponding efficient sets for the vector optimization problems was obtained, where the perturbation was performed on both the objective function and the feasible set. These results extend and improve the corresponding ones in the literature （Attouch H, Riahi H. Stability results for Ekeland＇ s ε- variational principle and cone extremal solution; Huang X X. Stability in vector-valued and set-valued optimization）, then examples are given to illustrate our main results.
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