约束对应的图像拓扑下拟变分不等式解的稳定性  

The Stability of Solutions to Quasi-Variational Inequalities of Constrained Correspondence Graph Topology

作　　者：何基好 向淑文 贾文生 卢大远 邓喜才[3] HE Ji-hao;XIANG Shu-wen;JIA Wen-sheng;LU Da-yuan;DENG Xi-cai(College of Computer Science and Technology,Guizhou University,Guiyang 550025,China;School of Mathematics and Statistics,Guizhou University,Guiyang 550025,China;Department of Mathematics and Computer,Guizhou Normal College,Guiyang 550018,China)

机构地区：[1]贵州大学计算机科学与技术学院,贵阳550025 [2]贵州大学数学与统计学院,贵阳550025 [3]贵州师范学院数学与计算机系,贵阳550018

出　　处：《西南大学学报（自然科学版）》2018年第10期103-106,共4页Journal of Southwest University(Natural Science Edition)

基　　金：国家自然科学基金项目(11161008;11561013;11761023);教育部博士点基金项目(20115201110002)

摘　　要：以往关于拟变分不等式解的稳定性的研究,都采用约束映射之间的一致度量.现采用约束映射图像之间的Hausdorff度量,并在此弱图像拓扑下,得到了拟变分不等式解的稳定性,即在Baire分类的意义下,大多数的拟变分不等式的解均是本质的.On the stability of solutions to quasi-variational inequalities,previous researchers usually investigated it with uniform metric topology between constraint mappings.In the present study,the Hausdorff distance of graph between constrained mappings is used,and the stability of solutions to quasi-variational inequalities is obtained under this weak-graph topology,i.e.,in the sense of the Baire category,the solutions to most quasi-variational inequalities are essential.

关 键 词：拟变分不等式 约束映射 图像拓扑 通有稳定性 

分 类 号：O177.91[理学—数学]