Levitin-Polyak well-posedness for generalized semi-infinite multiobjective programming problems

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• 作者：Xian-Jun Long ; Zai-Yun Peng ; Xiang-Kai Sun
• 关键词：90C29 ; 90C34 ; 49K40 ; generalized semi ; infinite multiobjective programming problem ; Levitin ; Polyak well ; posedness ; approximate solution map ; metric characterization ; upper semi ; continuity
• 刊名：Journal of Inequalities and Applications
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：2016
• 期：1
• 全文大小：1,608 KB
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• 作者单位：Xian-Jun Long (1)
  Zai-Yun Peng (2)
  Xiang-Kai Sun (1)
  
  1. College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing, 400067, P.R. China
  2. College of Mathematics and Statistics, Chongqing Jiaotong University, Chongqing, 400074, P.R. China
  
• 刊物主题：Analysis; Applications of Mathematics; Mathematics, general;
• 出版者：Springer International Publishing
• ISSN：1029-242X

文摘

In this paper, we introduce a notion of Levitin-Polyak well-posedness for generalized semi-infinite multiobjective programming problems in terms of weakly efficient solutions. We obtain some metric characterizations of Levitin-Polyak well-posedness for this problem. We derive the relations between the Levitin-Polyak well-posedness and the upper semi-continuity of approximate solution maps for generalized semi-infinite multiobjective programming problems. Examples are given to illustrate our main results. Keywords generalized semi-infinite multiobjective programming problem Levitin-Polyak well-posedness approximate solution map metric characterization upper semi-continuity