Hausdorff continuity of approximate solution maps to parametric primal and dual equilibrium problems

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• 作者：Lam Quoc Anh ; Tran Ngoc Tam
• 关键词：Parametric equilibrium problems ; Parametric dual equilibrium problems ; Approximate solution maps ; Hausdorff continuity ; Optimization problems ; Variational inequalities ; Fixed ; point problems
• 刊名：TOP
• 出版年：2016
• 出版时间：April 2016
• 年：2016
• 卷：24
• 期：1
• 页码：242-258
• 全文大小：480 KB
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• 作者单位：Lam Quoc Anh (1)
  Tran Ngoc Tam (2)
  
  1. Department of Mathematics, Teacher College, Can Tho University, Can Tho, Vietnam
  2. Department of Mathematics, Teacher College, Nam Can Tho University, Can Tho, Vietnam
  
• 刊物主题：Operations Research/Decision Theory; Optimization; Statistics for Business/Economics/Mathematical Finance/Insurance; Industrial and Production Engineering; Game Theory/Mathematical Methods;
• 出版者：Springer Berlin Heidelberg
• ISSN：1863-8279

文摘

In this paper, we consider parametric primal and dual equilibrium problems in locally convex Hausdorff topological vector spaces. Sufficient conditions for the approximate solution maps to be Hausdorff continuous are established. We provide many examples to illustrate the essentialness of the imposed assumptions. As applications of these results, the Hausdorff continuity of the approximate solution maps for optimization problems, variational inequalities and fixed-point problems are derived.