集值映射最优化问题的弱有效解

广东工业大学学报 ›› 2007, Vol. 24 ›› Issue (1): 89-91.

集值映射最优化问题的弱有效解

广东工业大学应用数学学院；广东工业大学应用数学学院广东广州510090；广东广州510090；

出版日期:2007-02-01 发布日期:2007-02-01

Weak Efficiency in Vector Set-valued Optimization Problem

(Facult of Applied Mathematics,Guangdong University of Technology,Guangzhou 510090,China)

Online:2007-02-01 Published:2007-02-01

摘要/Abstract

摘要： 给出反例说明Jahn和Rauh提出的关于集值优化问题的弱有效解结论的错误,并对其条件进行了改进,得到了集值映射最优化问题的弱有效解的最优性条件.

关键词: 集值映射；最优化；弱有效解；

Abstract: In this paper,an example is presented to explain the invalidity of result of weak efficient solutions for set-valued optimization proposed by Jahn and Rauh.By improving the conditions,the optimality conditions of weak efficient solutions is obtained in vector set-valued optimization problem.

Key words: set-valued mapping； vector optimization； weak efficiency；

刘伟；蔡前凤； . 集值映射最优化问题的弱有效解[J]. 广东工业大学学报, 2007, 24(1): 89-91.

LIU Wei,CAI Qian-feng. Weak Efficiency in Vector Set-valued Optimization Problem[J]. Journal of Guangdong University of Technology, 2007, 24(1): 89-91.

参考文献

[1] 刘伟,蔡前凤. 集值映射最优化问题的真有效解[J]. 广东工业大学学报. 2001(02)

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

[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

[5] Aubin J P.Contingent Derivatives of Set-Valued Maps andExistence of Solutions to Nonlinear Inclusions and Differ-ential Inclusions. Mathematical Analysis and Applica-tions . 1981

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