Weak Efficiency in Vector Set-valued Optimization Problem

LIU Wei; CAI Qian-feng

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Weak Efficiency in Vector Set-valued Optimization Problem

更新时间：2026-05-27

- Weak Efficiency in Vector Set-valued Optimization Problem
- Vol. 24, Issue 1, Pages: 89-91(2007)
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- Online First：01 February 2007，
  
  Published：2007
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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]. 2007, 24(1): 89-91.
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. DOI：

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

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.

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.

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references

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)

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

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

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

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