利用集合序列的P-K收敛的概念,讨论可行集扰动而向量值映射不扰动、可行集扰动而向量值映射扰动、可行集扰动而集值映射不扰动、可行集扰动而集值映射扰动下的4种情况下的向量均衡问题弱有效解的稳定性。提出了一个新的集值映射序列的收敛概念。利用这一概念,讨论了可行集和集值映射同时扰动下的均衡问题弱有效解的稳定性。
By using the concept of P-K convergence of sequences of subsets,we investigate stability of weak efficient solutions for vector equilibrium problems under four kind of perturbation conditions:feasible set perturb and vector valued map does not perturb,feasible set perturb and vector valued map dilates together,feasible set dilates and set valued map does not perturb,feasible set dilates and set valued map dilates together.It present a new concept of convergence of sequences of subsets.By using this concept,it investigate the stability of weak efficient solutions for vector equilibrium problems when feasible set and set valued map dilate together.