向量参变量的约束集族最大元的通有稳定性  

On the Generic Stability of the Constrained Largest Element of a Set Family with Vector Parameter

作　　者：卢美华[1] 肖莉娜[1] 左勇华[2] LU Mei-hua;XIAO Lina;ZUO Yong-hua(School of Science,Jiangxi University of Technology,Nanchang 330098,Chin;College of Mathematics and Informatics,Jiangxi Normal University,Nanchang 330022,China)

机构地区：[1]江西科技学院理学部,江西南昌330098 [2]江西师范大学数学与信息科学学院,江西南昌330022

出　　处：《数学的实践与认识》2019年第13期239-244,共6页Mathematics in Practice and Theory

基　　金：国家社科基金资助(17BJL025)

摘　　要：利用集值映射方法定义约束广义最大元,在约束条件和向量参变量意义下,讨论了约束最大元映射、向量参数扰动时,特别是约束条件受到扰动时,向量参变量的约束集族最大元的通有稳定性,在最广的扰动下,获得了通有稳定性定理.In this paper,the Correspondence method is used to define the Cons trained generalized largest element.We discuss the generic stability of the Constrained generalized largest element,when the maximum meta-mapping perturbation and vector parameter are disturbed,especially when the constraint conditions are disturbed.Under the most extensive perturbation,we obtains the Generic stability theorem.

关 键 词：向量参变量 约束集族最大元 通有稳定性 

分 类 号：O223[理学—运筹学与控制论]