Journal of Guangdong University of Technology ›› 2007, Vol. 24 ›› Issue (1): 89-91.

• Comprehensive Studies • Previous Articles     Next Articles

Weak Efficiency in Vector Set-valued Optimization Problem

  

  1. (Facult of Applied Mathematics,Guangdong University of Technology,Guangzhou 510090,China)
  • Online:2007-02-01 Published:2007-02-01

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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；

[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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