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| 广义凸多面体集上法锥映射图集的预解锥刻画 | |
| 引用本文： | 班立群,王晶囡,张亚卓,张玉.广义凸多面体集上法锥映射图集的预解锥刻画[J].哈尔滨理工大学学报,2012,17(3):46-49. |
| 作者姓名： | 班立群 王晶囡 张亚卓 张玉 |
| 作者单位： | 1. 哈尔滨理工大学应用科学学院,黑龙江哈尔滨,150080 2. 东北农业大学理学院,黑龙江哈尔滨,150030 3. 哈尔滨师范大学管理学院,黑龙江哈尔滨,150025 |
| 基金项目： | 黑龙江省教育厅科学技术研究项目 |
| 摘 要： | 为了在自反Banach空间中,对广义凸多面体集上法锥映射图集的极限法锥进行刻画,进而对广义凸多面体集上参数变分不等式系统解的稳定性进行分析,依据变分分析与广义可微性理论,研究了广义凸多面体集上法锥映射图集的预解锥,得到了用广义凸多面体集的余切锥对广义凸多面体集上法锥映射图集的预解锥进行刻画的结果,推广了一般凸多面体集上法锥映射图集的预解锥的余切锥表示结论. |
| 关 键 词： | 变分分析及最优化 自反Banach空间 广义凸多面体集 法锥映射 |
The Characterization of the Prenormal Cone to the Graph of the Normal Cone Mapping on Generalized Polyhedra |
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| BAN Li-qun , WANG Jing-nan , ZHANG Ya-zhuo , ZHANG Yu.The Characterization of the Prenormal Cone to the Graph of the Normal Cone Mapping on Generalized Polyhedra[J].Journal of Harbin University of Science and Technology,2012,17(3):46-49. | |
| Authors: | BAN Li-qun WANG Jing-nan ZHANG Ya-zhuo ZHANG Yu |
| Affiliation: | 1.School of Applied Mathematics,Harbin University of Science and Technology,Harbin 150080,China; 2.College of Science,Northeast Agricultural University,Harbin 150030,China; 3.School of Management,Harbin Normal University,Harbin 150025,China) |
| Abstract: | In the framework of the reflexive Banach space,in order to characterize the limiting normal cone of the graph of the normal cone mapping of the generalized polyhedral sets,we analyse,we the stability of the solution mapping of the parametric variational inequalities.Applying the theory of the variational analysis and the generalized differentiation,we concern the prenormal cone of the graph of the normal cone mapping of the generalized polyhedral sets.The characterization of the prenormal cone to the graph of the normal cone mapping on generalized polyhedra has been given by the contingent cone of the generalized polyhedra.The related result on characterization of the prenormal cone of the graph of the normal cone mapping of polyhedral sets has been generalized. |
| Keywords: | variational analysis and optimization reflexive Banach space generalized polyhedral set normal cone mapping |
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