主要研究近似平衡约束向量优化问题解集的稳定性.考虑了一类近似平衡约束向量优化问题,在目标函数列Gamma- 收敛, 而不必是连续收敛情形下,分别获得近似平衡约束向量优化问题有效解集、弱有效解集和强有效解集的上Painlev\'{e}-Kuratowski收敛性, 所得结果推广和改进了最近文献的结果.

In this paper, the stability of the solution set of vector optimization problems under approximate equilibrium constraints is studied. We consider a class of approximation equilibrium constraint vector optimization problem. In the assumption of Gamma-convergence rather than continuous convergence for objective functional sequences, the Painlev\'{e}-Kuratowski convergence of efficient solution sets, weakly efficient solution sets and strongly efficient solution sets of the vector optimization problem is obtained under approximate equilibrium constraints, respectively. The obtained results improve and generalize the corresponding ones in the literature.