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集值映射最优化问题的弱有效解

Weak Efficiency in Vector Set-valued Optimization Problem
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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. In this paper, an example is presented to explain the invalidity of result of weak efficient solutions for setvalued 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.
作者 刘伟 蔡前凤
机构地区 广东工业大学应用数学学院
出处 《广东工业大学学报》 CAS 2007年第1期89-91,共3页 Journal of Guangdong University of Technology
关键词 集值映射 最优化 弱有效解 set-valued mapping vector optimization weak efficiency
分类号 O224 [理学—运筹学与控制论]
  • 相关文献

参考文献5

  • 1Jahn J,Rauh R.Contingent Epiderivatives and Set-Valued Optimization[J].Mathematical Methods of Operations Research,1997,46:193-211.
  • 2Corley H W.Optimality Conditions for Maximizations of Set-Valued Functions[J].Journal of Optimization Theory and Applications,1988,58:1-10.
  • 3Aubin J P.Contingent Derivatives of Set-Valued Maps and Existence of Solutions to Nonlinear Inclusions and Differential Inclusions[A].Mathematical Analysis and Applications[C].Part A,New York:Academic Press,1981,160-229.
  • 4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,2001,18(2):108-112. 被引量：3
  • 5Luc D T.Contingent Derivatives of Set-Valued Maps and Applications to Vector Optimization[J].Mathematical Programming,1991,50:99-111.

二级参考文献6

  • 1[1]Aubin J P. Contingent Derivatives of Set-Valued Maps and Existence of Solutions to Nonlinear Inclusions and Differential Inclusions[A]. Mathematical Analysis and Applications[C]. Part A, New York: Academic Press, 1981,160-229.
  • 2[2]Aubin J, Ekeland I. Applied Nonlinear Analysis[M]. New York: Wiley, 1984.
  • 3[3]Corley H W. Optimality Conditions for Maximizations of Set-Valued Functions[J]. Journal of Optimization Theory and Applications,1988,58:1-10.
  • 4[4]Luc D T. Contingent Derivatives of Set-Valued Maps and Applications to Vector Optimization[J].Mathematical Programming,1991,50:99-111.
  • 5[5]Jahn J, Rauh R. Contingent Epiderivatives and Set-Valued Optimization[J]. Mathematical Methods of Operations Research, 1997,46: 193-211.
  • 6[6]Gong X H. Connectedness of efficient solution sets for set-valued maps in normed spaces[J]. Journal of Optimization Theory and Applications, 1994,83: 83-96.

共引文献2

广东工业大学学报
2007年 第1期

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