广东工业大学学报 ›› 2001, Vol. 18 ›› Issue (2): 108-112.

• 综合研究 • 上一篇    

集值映射最优化问题的真有效解

  

  1. 广东工业大学应用数学系!广东广州; 510090;
  • 出版日期:2001-01-04 发布日期:2001-01-04

Proper Efficiency in Vector Set-Valued Optimization Problem

  1. (Dept.of Applied Mathematics ,GDUT, Guangzhou 510090,China)
  • Online:2001-01-04 Published:2001-01-04

摘要: 利用Jahn与Rauh提出的集值映射的切上导数概念 ,给出了向量集值映射最优化问题的各种有效解的充分与必要条件

关键词: 集值映射最优化; 切上导数; 真有效解;

[1] Johannes Jahn,Rüdiger Rauh.  Contingent epiderivatives and set-valued optimization[J] ,1997

[2] X. H. Gong.  Connectedness of efficient solution sets for set-valued maps in normed spaces[J] ,1994

[3] Dinh The Luc.  Contingent derivatives of set-valued maps and applications to vector optimization[J] ,1991

[4] H. W. Corley.  Optimality conditions for maximizations of set-valued functions[J] ,1988

[1] Aubin J,Ekeland I.Applied Nonlinear Analysis. . 1984
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