强向量均衡问题解集的通有稳定性与本质连通区

The Stability of Solution Set and the Existence of Essential Component for strong vector equilibrium problems

摘要: 研究了强向量均衡问题中解集的稳定性.在映射满足一定条件的基础上,证明了强向量均衡问题所构成的空间M中,大多数(在Baire分类意义下)强向量均衡问题解集是稳定的,并证明了对于M'中的每个强向量均衡问题解集至少存在一个本质连通区.

Abstract: This paper studies the stability of strong vector equilibrium problems.It concludes that the solution set of most strong vector equilibrium problems(in the case of Baire's category) is stable in space M and that in certain conditions the solution set of each strong vector equilibrium problem in M' has at least one essential component.