On set-valued optimization problems with variable ordering structure

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• 作者：Marius Durea (1)
  Radu Strugariu (2)
  Christiane Tammer (3)
  
  1. Faculty of Mathematics ; 鈥淎l. I. Cuza鈥?University ; Bd. Carol I ; nr. 11 ; 700506聽 ; Ia艧i ; Romania
  2. Department of Mathematics and Informatics ; 鈥淕h. Asachi鈥?Technical University ; Bd. Carol I ; nr. 11 ; 700506聽 ; Ia艧i ; Romania
  3. Institute for Mathematics ; Martin-Luther-University Halle-Wittenberg ; 06099聽 ; Halle (Saale) ; Germany
  
• 关键词：Nondomination property ; Pareto optimization ; Variable ordering structure ; Openness for sum ; multifunction ; Necessary optimality conditions ; 90C30 ; 49J52 ; 49J53
• 刊名：Journal of Global Optimization
• 出版年：2015
• 出版时间：April 2015
• 年：2015
• 卷：61
• 期：4
• 页码：745-767
• 全文大小：279 KB
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• 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

In this paper we introduce and investigate an optimality concept for set-valued optimization problems with variable ordering structure. In our approach, the ordering structure is governed by a set-valued map acting between the same spaces as the objective multifunction. Necessary optimality conditions for the proposed problem are derived in terms of Bouligand and Mordukhovich generalized differentiation objects.