广义凸多面体集上法锥映射图集的预解锥刻画  

The Characterization of the Prenormal Cone to the Graph of the Normal Cone Mapping on Generalized Polyhedra

作　　者：班立群[1] 王晶囡[1] 张亚卓[2] 张玉[3] 

机构地区：[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

出　　处：《哈尔滨理工大学学报》2012年第3期46-49,共4页Journal of Harbin University of Science and Technology

基　　金：黑龙江省教育厅科学技术研究项目(11551095)

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.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 polyhed- ral sets. The characterization of the prenormal cone to the graph of the normal cone mapping on generalized polyhe- dra 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.

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 

分 类 号：O224[理学—运筹学与控制论]