期刊文献+

向量集值优化问题的最优性条件 被引量:9

OPTIMATITY CONDITIONS OF VECTOR SET-VALUED OPTIMIZATION PROBLEMS
下载PDF
导出
摘要 提出了集值映射的三种切上导数的概念 ,利用这些概念 ,给出了向量集值优化问题的弱有效解 。 The paper introduces concepts of epiderivative for a set-valued map,and obtains the necessary and sufficient conditions of weak efficient solution,strong efficient solution and many kinds of proper efficient solutions if set-valued vector optimization problems by using the new concept of contingent derivative of set-valued map.
出处 《南昌大学学报(理科版)》 CAS 北大核心 2001年第2期122-130,136,共10页 Journal of Nanchang University(Natural Science)
基金 南昌大学学位点建设基金资助项目
关键词 向量集值优化 真有效性 切上导数 最优性条件 集值映射 vector Set-valued optimization Set-valued epiderivative optimality conditions
  • 相关文献

参考文献5

  • 1Gong X H,J Optim Theory Appl,2001年,108期,139页
  • 2Liu W,Mathematical Methods Operations Research,2000年,443页
  • 3Gong X H,Giannessi Mathematical Theories,2000年,233页
  • 4Gong X H,Proc Sixth National Conferenceof Operations Research Societyof China,2000年,483页
  • 5Chen G Y,Mathematical Methods Operations Research,1998年,187页

同被引文献56

  • 1唐玉华.凹函数及其最优化[J].内江师范学院学报,2004,19(4):81-83. 被引量:1
  • 2Song W. Vector Equilibrium Problems with Set - valued Mapping [ A ]. In: Giannessi F. Variational Inequalities and Vector Equilibria [ C ]. Netherlands: Kluwer, Dordrecht,2000:403 - 418.
  • 3Giannessi F, Mastroeni G, Pellegrini L. On the Theory of Vector Optimization and Ariational Inequalities [ A ]. In:Giannessi F. Vector Variational Inequalities and Vector Equilibria[ C ]. Netherlands : Kluwer, Dordrecht ,2000 : 153 -215.
  • 4Morgan J, Romaniello M. Scalarization and Kuhn - Tucker - Like Conditions for Weak Vector Generalized Quasiva- rational Inequalities [ J ]. Journal of Optimization Theory and Applications ,2006,130:309 - 316.
  • 5Gong X H. Optimality Conditions for Vector Equilibrium Problems [ J ]. Joumal of Mathema - tical. Analysis and Applications ,2008,342 : 1 455 - 1 466.
  • 6Yang X Q, Zheng X Y. Approximate Solutions and Optimality Conditions of Vector Variatinal Inequalities in Banach Spaces [ J ]. Journal of Global Optimization, 2008, 40:455 - 462.
  • 7Corley H W. Optimality Conditions for Maximization of Set - valued Functions [ J ]. Journal of Optimization Theory and Applications, 1988,58 : 1 - 10.
  • 8Jahn J, Rauh R. Contingent Epiderivatives and Set - valued Optimization [ J ]. Mathematical Methods of Operations Research, 1997,46 : 193 - 211.
  • 9Chen G Y, Jahn J. Optimality Conditions of Set - valued Optimization Problems [ J ]. Mathematical Methods of Operations Research, 1998,48 : 187 - 200.
  • 10Liu W, Gong X H. Proper Efficiency for Vector Set - valued Optimization Problems and Variational Inequalities [ J ]. Mathematical Methods of Operations Research, 2000,51:443 - 458.

引证文献9

二级引证文献8

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部