Abstract
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.
Citation
Ya-Ping Fang. Nan-Jing Huang. "WELL-POSEDNESS FOR VECTOR VARIATIONAL INEQUALITY AND CONSTRAINED VECTOR OPTIMIZATION." Taiwanese J. Math. 11 (5) 1287 - 1300, 2007. https://doi.org/10.11650/twjm/1500404864
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