Prederivatives of convex set-valued maps and applications to set optimization problems

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• 作者：Michaël Gaydu ; Michel H. Geoffroy ; Yvesner Marcelin
• 关键词：Convex process ; C ; convex mapping ; Generalized differentiability ; Vector optimization ; Set ; valued optimization
• 刊名：Journal of Global Optimization
• 出版年：2016
• 出版时间：January 2016
• 年：2016
• 卷：64
• 期：1
• 页码：141-158
• 全文大小：477 KB
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• 作者单位：Michaël Gaydu (1)
  Michel H. Geoffroy (1)
  Yvesner Marcelin (1)
  
  1. LAMIA, Department of Mathematics, Université des Antilles et de la Guyane, Pointe-à-Pitre, Guadeloupe, France
  
• 刊物类别：Business and Economics
• 刊物主题：Economics
  Operation Research and Decision Theory
  Computer Science, general
  Real Functions
  Optimization
  
• 出版者：Springer Netherlands
• ISSN：1573-2916

文摘

We investigate the existence of several kinds of prederivatives for set-valued mappings enjoying convex properties. Then, we established both necessary and sufficient optimality conditions, involving such prederivatives, for set optimization problems.