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Benson真有效意义下向量集值优化的广义Fritz John条件

盛宝怀 刘三阳

盛宝怀, 刘三阳. Benson真有效意义下向量集值优化的广义Fritz John条件[J]. 应用数学和力学, 2002, 23(12): 1289-1295.
引用本文: 盛宝怀, 刘三阳. Benson真有效意义下向量集值优化的广义Fritz John条件[J]. 应用数学和力学, 2002, 23(12): 1289-1295.
SHENG Bao-huai, LIU San-yang. On the Generalized Fritz John Optimality Conditions of Vector Optimization With Set-Valued Maps Under Benson Proper Efficiency[J]. Applied Mathematics and Mechanics, 2002, 23(12): 1289-1295.
Citation: SHENG Bao-huai, LIU San-yang. On the Generalized Fritz John Optimality Conditions of Vector Optimization With Set-Valued Maps Under Benson Proper Efficiency[J]. Applied Mathematics and Mechanics, 2002, 23(12): 1289-1295.

Benson真有效意义下向量集值优化的广义Fritz John条件

基金项目: 国家自然科学基金资助项目(69972036);宁波市博士基金资助项目;宁波大学博士后基金资助项目
详细信息
    作者简介:

    盛宝怀(1962- ),男,陕西凤县人,副教授,博士(E-mail:shengbaohuai@263.net).

  • 中图分类号: O221.6

On the Generalized Fritz John Optimality Conditions of Vector Optimization With Set-Valued Maps Under Benson Proper Efficiency

  • 摘要: 引入了一种有关集值映射的切导数和强、弱*伪凸的概念。借助凸集分离定理及锥分离定理建立了Benson真有效意义下向量集值优化导数型的FritzJohn最优性条件,并对条件的充分性进行了讨论。当特殊到单值映射时这些最优性条件与经典的结果完全吻合。
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    [10] 盛宝怀,刘三阳,熊胜君.Benson 真有效意义下向量集值优化的广义Fritz John条件[J].经济数学,2000,17(1):59-65.
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出版历程
  • 收稿日期:  2000-03-29
  • 修回日期:  2002-05-14
  • 刊出日期:  2002-12-15

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