期刊文献+

超有效意义下向量集值优化修整的 Lagrange乘子型对偶(英文) 被引量:2

Modified Lagrange Duality of Vector Optimization of Set-valued Maps with Super Efficiency
下载PDF
导出
摘要 给出了一类加细的向量集值优化超有效解的最优性条件 ,由此给出了一种改进的 Lagrange乘子型对偶 ,并建立了对偶的弱定理。 A kind of refined optimality condition for vector optimization of set\|valued maps with super efficient solutions is established, with which a kind of modified Lagrange duality problem is considered. The weak duality theorem, the direct duality theorem and the converse duality theorem are given.
出处 《应用泛函分析学报》 CSCD 2001年第1期29-36,共8页 Acta Analysis Functionalis Applicata
基金 Supported by Shaanxi Province Natural Science Foundation( No.99SL0 2 ) and the National Natural Science Foundation of China ( N
关键词 集值映射 最优性条件 Lagramge乘子 对偶 向量集值优化 超有效解 set\|valued maps super efficiency optimality conditions
  • 相关文献

参考文献18

  • 1Chen L,系统科学与数学,2000年,20卷,2期,196页
  • 2Sheng Baohuai,应用数学,2000年,13卷,4期,95页
  • 3Li Z M,J Math Anal Appl,1999年,237卷,413页
  • 4Li Z,J Optim Theory Appl,1999年,100卷,365页
  • 5Li Z F,Math Meth Oper Res,1998年,48卷,2期,207页
  • 6Rong W D,Math Meth Oper Res,1998年,48卷,2期,247页
  • 7Li Z F,Prog Natur Sci,1998年,8卷,6期,660页
  • 8Cheng Caozong,应用数学学报,1998年,21卷,2期
  • 9Li Z F,J Math Anal Appl,1997年,215卷,297页
  • 10Song W,J Optim Theory Appl,1997年,93卷,1期,167页

同被引文献19

  • 1盛宝怀,周颂平,刘三阳.向量集值优化超有效解的对偶问题[J].数学物理学报(A辑),2004,24(4):426-434. 被引量:6
  • 2BORWEIN J M, ZHUANG D M. Super efficiency in vector optimization[ J]. Transactions of the American Mathematical Society, 1993, 338(1) :105-122.
  • 3ZHENG X Y. Proper efficiency in locally convex topological vector spaces[J]. Journal of Optimization Theory and Applications, 1997, 94(2) :469-486.
  • 4LI S J, TEO K L, YANG X Q. Higher-order optimality conditions for set-valued optimization[J]. Journal of Optimization Theory and Applications, 2008, 137 (3) :533-553.
  • 5LI S J, TEO K L, YANG X Q. Higher-order Mond-Weir duality for set-valued optimization[ J]. Journal of Computational and Applied Mathematics, 217 (2) : 339-349.
  • 6WANG Q L, LI S J, TEO K L. Higher-order optimality conditions for weakly efficient solutions in nonconvex set-valued optimization[J]. Optimization Letters, 2010, 4 ( 3 ) :425-437.
  • 7XU Yihong, ZHU Chuanxi. On super efficiency in set-valued optimization in locally convex spaces[J]. Bulletin of the Australian Mathematical Society, 2005, 71 (2) :183-192.
  • 8LI Tai-yong,XU Yi-hong.On super efficiency in set-valued optimization[J].Applied Mathematics(A Journal of Chinese Universities),2009,24(2):144-150. 被引量:3
  • 9凌晨.集值映射多目标规划的K-T最优性条件[J].系统科学与数学,2000,20(2):196-202. 被引量:18
  • 10盛宝怀,刘三阳.关于向量集值优化的Benson真有效性[J].应用数学,2000,13(4):95-99. 被引量:6

引证文献2

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