Variational inequalities over Euclidean balls

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• 作者：Nguyen Thanh Qui (1)
  
• 关键词：Variational inequality ; Lipschitz ; like property ; Generalized equation ; Normal cone mapping ; Coderivative ; 49J53 ; 49J52 ; 49J40
• 刊名：Mathematical Methods of Operations Research (ZOR)
• 出版年：2013
• 出版时间：October 2013
• 年：2013
• 卷：78
• 期：2
• 页码：243-258
• 全文大小：
• 作者单位：Nguyen Thanh Qui (1)
  
  1. College of Information and Communication Technology, Can Tho University, 1 Ly Tu Trong, Can Tho, Vietnam
  
• ISSN：1432-5217

文摘

This paper investigates solution stability of parametric variational inequalities over Euclidean balls in finite dimensional spaces. We provide exact formulas for computing required coderivatives of the normal cone mappings to Euclidean balls via the initial data. On the basis of these formulas, we establish necessary and sufficient conditions for Lipschitzian stability of the solution maps of the aforementioned variational inequalities.