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近似锥一次类凸集值向量优化问题强有效解的广义鞍点刻画 被引量:4

STRONG EFFICIENT SOLUTIONS OF NEARLY CONE-SUBCONVEXLIKE SET-VALUED VECTOR OPTIMIZATION PROBLEMS CHARACTERIZED BY GENERALIZED SADDLE POINT
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摘要 本文研究了近似锥一次类凸集值向量优化强有效解的广义鞍点表示问题.利用择一定理,得到了近似锥-次类凸集值优化问题强有效解为广义鞍点的充分条件和必要条件.所得结果丰富了集值优化理论,并且拓广了广义鞍点的应用. The purpose of this paper is to investigate the representation problems of strong efficient solutions by generalized saddle point in nearly cone-subconvexlike set-valued vector optimization problems. By using the theorem of alternative, we obtain the necessary and sufficient conditions for strong efficient solutions to be the generalized saddle point in vector optimization problems with set-valued maps under the assumption of nearly cone-subconvexlikeness. The results enrich the theory of set-valued optimization, and enlarge the application of the generalized saddle point.
出处 《数学杂志》 CSCD 北大核心 2008年第1期61-66,共6页 Journal of Mathematics
基金 陕西省自然科学基金项目(2001SL03) 西北第二民族学院科学研究项目.
关键词 近似锥-次类凸 集值映射 强有效性 广义鞍点 Nearly cone-subconvexlike Set-valued map Strong efficiency Generalized saddle point
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参考文献9

  • 1Yang Xinming,LI D.,WANG S.Y..Nearly-subconvexlikeness in vector Optimization with setvalued functions[J].J.Optim.Theory & Appl.,2001,110(2):413-427.
  • 2Pread Hars SACH.Nearly subconvexlike set-valued maps and vector optimization Problems[J].J.Optim.Theory & Appl.,2003,119(2):335-356.
  • 3Cheng Yonghong,Fu Wantao.Strong efficiency in a locally convex space,cally convex space[J].Math.Meth.Per.Res.,1999,50(2):373-384.
  • 4武育楠,戎卫东.集值映射向量优化问题的强有效性[J].内蒙古大学学报(自然科学版),1999,30(4):415-421. 被引量:29
  • 5Borwein J.M.,Zhuang D M..Super efficiency in convex vector optimization[J].Trans.Amer.Math.Soc.,1993,338:105-122.
  • 6Hu Yuda,Ling Cheng.Connectedness of cone super efficient pointsets in locally convex topological spaces[J].J.Optim.Theory & Appl.,2000,107(2):433-446.
  • 7徐义红.近似锥-次类凸集值优化问题的强有效性[J].南昌大学学报(理科版),2003,27(2):121-124. 被引量:10
  • 8凌晨.集值映射向量优化问题的ε-超鞍点和ε-对偶定理(英文)[J].运筹学学报,2002,6(1):53-60. 被引量:17
  • 9Ye Yinglai.D-invexity and optimality conditions[J].J.Math.Anal.Appl.,1991,162(1):242-249.

二级参考文献11

  • 1程永红.局部凸空间中的强有效性.南昌大学硕士学位论文[M].-,1997..
  • 2Cheng Y H, Fu W T. Strong Efficiency in a Locally Convex Space[J ]. Math Meth Oper Rea, 1999, 50:373 - 384.
  • 3Yang X M, Li D and Wang S Y. Nearly-Subeonvexlikeness in Vector Optimization with Set-Valued Functions[J] .J Optim Theory Appl, 2001, 110(2) :413 - 427.
  • 4Rong Weidong, Wu Yunan. Characterizations of Super Efficiency in Cone- Convexlike Vector Optimization with Set-Valued Maps[J]. Math Meth Oper Rea, 1998, 48:247-258.
  • 5Li Z. A Theorem of the Alternative and Its Application to the Optimization of Set-Valued Maps[J]. J Optim Theory Appl,1999,100(2):365 -375.
  • 6程永红,硕士学位论文,1997年
  • 7Li Z F,MCDM:Theory Applications,1995年,80页
  • 8傅万涛.赋范线性空间集合的严有效点[J].系统科学与数学,1997,17(4):324-329. 被引量:35
  • 9武育楠,戎卫东.集值映射向量优化问题的强有效性[J].内蒙古大学学报(自然科学版),1999,30(4):415-421. 被引量:29
  • 10戎卫东,马毅.集值映射向量优化问题的ε-真有效解(英文)[J].运筹学学报,2000,4(4):21-32. 被引量:30

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