一类长方形张量变分不等式解集的非空紧性  

Nonemptiness and Compactness of the Solution Set for a Class of Rectangular Tensor Variational Inequalities

作　　者：刘亚珍 凌晨[1] LIU Yazhen;LING Chen(School of Sciences,Hangzhou Dianzi University,Hangzhou Zhejiang 310018,China)

机构地区：[1]杭州电子科技大学理学院,浙江杭州310018

出　　处：《杭州电子科技大学学报（自然科学版）》2020年第2期80-83,共4页Journal of Hangzhou Dianzi University：Natural Sciences

基　　金：国家自然科学基金资助项目(11571087);浙江省自然科学基金资助项目(LY19A010019)。

摘　　要：针对一类长方形张量变分不等式问题,利用例外簇的概念和性质,当长方形张量在其可行域上为半正定时,得到长方形张量变分不等式解集的非空紧性。For a class of rectangular tensor variational inequalities, when the rectangular tensor is positive semi-definite in its feasible domain, the nonemptiness and compactness of the solution set for rectangular tensor variational inequalities are obtained by using the concept and properties of the exceptional family of elements.

关 键 词：长方形张量 半正定张量 例外簇 张量变分不等式 

分 类 号：O221.2[理学—运筹学与控制论]