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Global Stability Results for the Weak Vector Variational Inequality
Authors:Y.?H.?Cheng,D.?L.?Zhu  author-information"  >  author-information__contact u-icon-before"  >  mailto:dlzhu@fudan.edu.cn"   title="  dlzhu@fudan.edu.cn"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author
Affiliation:(1) School of Management, Fudan University, Shanghai Telecommunications Technological Research Institute, Shanghai, 200433, 200122, People’s Republic of China;(2) School of Management, CRT, Fudan University, University of Montreal, Shanghai, 200433, People’s Republic of China , Canada
Abstract:In this paper, we consider the global stability of solutions of a Weak Vector Variational Inequality in a finite-dimensional Euclidean space. Upper semi-continuity of the solution set mapping is established. And by a scalarization method, we derive a sufficient condition that guarantees the lower semi-continuity of the solution set mapping for the Weak Vector Variational Inequality
Keywords:Lower semi-continuity  Stability  Strictly pseudo-monotone function  Upper semi-continuity  Weak vector variational inequality
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