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向量优化问题的Geoffrion有效解与向量变分不等式

Geoffrion Efficiency in Vector Set - Valued Optimization Problem and Vector Variational Inequality
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摘要 利用Jahn与Rauh提出的集值映射的切上导数概念,解决了以向量变分不等式的形式给出向量集值优化问题的Geoffrion有效解的充分必要条件。 In this paper, the necessary and sufficient conditions of Geoffrion efficient solutions in vector set-valued optimization problem with vector variational inequality are obtained by using the concept of contingent epiderivative, which has been introduced by Jahn and Rauh.
作者 刘伟 蔡前凤 温珍光
机构地区 广东工业大学应用数学系 江西省信丰铁石口中学
出处 《广东工业大学学报》 CAS 2003年第2期90-92,共3页 Journal of Guangdong University of Technology
关键词 集值映射优化 切上导数 Geoffrion有效解 vector set-valued optimization contingent epiderivative Geoffrion efficiency
分类号 O224 [理学—运筹学与控制论]
  • 相关文献

参考文献6

  • 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,2001,18(2):108-112. 被引量：3
  • 2Yang XQ. Vector Variational Inequality and Vector Pseudolinear Optimization[ J] .Journal d Optimization Theory and Applications, 1997,95(3) :729 - 734.
  • 3Jahn J, Rauh R. Contingent Epiderivatives and Set-Valued Optimization[J].Mathematical Methods of Operations Research,1997,46:193-211.
  • 4Sawaragi Y, Nakayama H,Tanino T. Theory of Multiobjefc Jahn J.and Rauh R.Contingent Epiderivatives and Set-Valued Optimization[J].Mathematical Methods of Operations Research,1997,46:193-211.
  • 5Borwein J M,zhuang D.Super Efficiency in Vector Optimization[J].Transactions of the American Mathematical Society,1993,338(1):105-122.
  • 6Gong XH.Connectedness of Efficient Solution Sets for Set-Valued Maps in Normed Spaces[J].Journal of Optimization Theory and Applications,1994,(83):83-96.

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
2003年 第2期

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