Strict vector variational inequalities and strict Pareto efficiency in nonconvex vector optimization

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• 作者：Hui Huang (1)
  
  1. Department of Mathematics ; Yunnan University ; Kunming ; 650091 ; People鈥檚 Republic of China
  
• 关键词：Difference of two cone convex functions ; Vector optimization problem ; Strict vector variational inequality problem ; Strict Pareto efficiency ; Clarke subdifferential ; 49J52 ; 90C26 ; 58E35
• 刊名：Positivity
• 出版年：2015
• 出版时间：March 2015
• 年：2015
• 卷：19
• 期：1
• 页码：95-109
• 全文大小：215 KB
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• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Fourier Analysis
  Operator Theory
  Potential Theory
  Calculus of Variations and Optimal Control
  Econometrics
  
• 出版者：Birkh盲user Basel
• ISSN：1572-9281

文摘

In this paper, we consider a vector optimization problem involving the difference of two cone convex functions in Banach spaces. In terms of Clarke subdifferential, we formulate strict Minty vector variational inequality problem and strict Stampacchia vector variational inequality problem. We mainly study the relationships between the solutions of these vector variational inequality problems and the strict Pareto efficient solution of the vector optimization problem.