参数字典序向量平衡问题的下半连续性(英文)

Lower semicontinuity to parametric lexicographic vector equilibrium problems

首先介绍由字典锥所构造的参数向量平衡问题.进而,基于稠密性结果,通过构造一个辅助问题的方法得到了参数字典序意义下向量平衡问题解集映射的下半连续性.

In this paper, a parametric vector equilibrium problem in a lexicographic order was first introduced. Then, by using an auxiliary problem, the lower semicontinuity of the solution set map was established based on the density of the solution set mapping for a parametric lexicographic vector equilibrium problem.