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集值优化的最优性条件 被引量:1

Optimality conditions in set-valued optimization
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摘要 借助集值映射的余切上图导数,给出了集值优化问题取得极小解和严格极小解的充分条件. With contingent epiderivative of set-valued mapping, we gain the sufficient conditions of minimal solution and strict minimal solution of set-valued optimization problem.
作者 万莉娟 朱婧
出处 《高师理科学刊》 2006年第2期1-2,共2页 Journal of Science of Teachers'College and University
关键词 集值优化 余切上图导数 尖闭凸锥 set-valued optimization contingent epiderivative convex closed pointed cone
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参考文献4

  • 1BEDNARCZUK E,SONG W.Contingent epiderivative and its applications to set-valued optimization[J].Control and Cybernetics,1998,27:376-386. 被引量:1
  • 2XUN-HUA GONG,HONG-BIN DONG.Optimality conditions for proper efficient solutions of vector set-valued optimization[J].J Math Anal Appl,2003,284:332-350. 被引量:1
  • 3宋文,万利娟.向量优化中值映射的余切上图可微性(英文)[J].黑龙江大学自然科学学报,2005,22(2):198-203. 被引量:16
  • 4JAHN J,RAUH R.Contingent epiderivatives and set-valued optimization[J].Math Meth Oper Res,1997,46:193-211. 被引量:1

二级参考文献15

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共引文献15

同被引文献5

  • 1宋文,万利娟.向量优化中值映射的余切上图可微性(英文)[J].黑龙江大学自然科学学报,2005,22(2):198-203. 被引量:16
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  • 3GONG Xue-hua,DONG Hong-bin.Optimality conditions for proper efficient solutions of vector set-valued optimization[J].J.Math.Anal.Appl.,2003(284):332-350. 被引量:1
  • 4Jahn J,Rauh R.Contingent epiderivatives and set-valued optimization[J].Math.Meth.Oper.Res.,1997(46):193-211. 被引量:1
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