| 向量平衡问题的严格有效性 |
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| 引用本文： | 李坤琼,刘双. 向量平衡问题的严格有效性[J]. 云南大学学报(自然科学版), 2014, 36(4): 464-471. DOI: 10.7540/j.ynu.20130551 |
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| 作者姓名： | 李坤琼 刘双 |
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| 作者单位： | 1.重庆工业职业技术学院 管理学院 基础教学部,重庆 401120; |
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| 基金项目： | 国家自然科学基金(11171360);中央高校基本科研业务费(CDJXS11100027) |
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| 摘 要： | 借助变分分析方法,在Asplund空间中建立了一类向量平衡问题严格有效性的必要最优性条件,并在凸性条件下,得到了该向量平衡问题严格有效性的充分最优性条件,同时利用相依导数以及极限上导数等概念,给出了相应的等价刻画.
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| 关 键 词： | 向量平衡问题 严格有效性 相依导数 极限上导数 |
| 收稿时间： | 2013-10-09 |
Strict efficiency for vector equilibrium problems |
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| LI Kun-qiong,LIU Shuang. Strict efficiency for vector equilibrium problems[J]. Journal of Yunnan University(Natural Sciences), 2014, 36(4): 464-471. DOI: 10.7540/j.ynu.20130551 |
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| Authors: | LI Kun-qiong LIU Shuang |
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| Affiliation: | 1.Department of Management,Basic Education,Chongqing Industry Polytechnic College,Chongqing 401120,China; |
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| Abstract: | Some necessary optimality conditions for the strict efficiency of a class of vector equilibrium problems on Asplund spaces were established by virtue of variational analysis approach.Moreover,some sufficient optimality conditions were obtained under appropriate convexity assumptions.Simultaneously,some equivalent characterizations were also given by using the concepts of contingent derivative and limiting coderivative,and so on. |
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| Keywords: | vector equilibrium problem strict efficiency contingent derivative limiting coderivative |
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