Well-posedness for vector variational inequality and constrained vector optimization

作者：Fang Ya Ping^*; Huang Nan Jing

来源：Taiwanese Journal of Mathematics, 2007, 11(5): 1287-1300.

DOI：10.11650/twjm/1500404864

• vector variational inequality
• Vector optimization problem
• Vector optimization problem with a vector variational inequality constraint
• well-posedness

In this paper we present some notions of parametric well-posedness for Stampacchia and Minty vector variational inequalities. We show that under suitable conditions, the parametric well-posedness of a Stampacchia vector variational inequality is equivalent to the parametric well-posedness of a vector optimization problem. Further, we introduce some concepts of well-posedness for a vector optimization problem with a Stampacchia vector variational inequality constraint. We prove that the well-posedness of this constrained vector optimization problem is closely related to the parametric well-posedness of its constrained vector variational inequality.

• 出版日期2007-12
• 单位四川大学