向量混合变分不等式弱有效解集的非空有界性  

Nonemptiness and boundedness of weakly efficient solution sets for vector mixed variational inequalities

作　　者：杨秀凤 范江华 YANG Xiufeng;FAN Jianghua(College of Mathematics and Statistics,Guangxi Normal University,Guilin 541006,Guangxi,China)

机构地区：[1]广西师范大学数学与统计学院,广西桂林541006

出　　处：《山东大学学报（理学版）》2023年第7期121-126,共6页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(11801102)。

摘　　要：利用标量混合变分不等式解集非空有界的充要条件,以及凸函数序列的Mosco收敛性和对偶锥的连通性,得到了自反Banach空间中向量混合变分不等式的弱有效解集为非空有界集的充要条件。By using the necessary and sufficient conditions for the nonemptiness and boundedness of the set of solutions for mixed scalar variational inequalities,the Mosco convergence of convex functions sequences and the connectedness of dual cones,the necessary and sufficient conditions for the weakly efficient solution sets of mixed vector variational inequalities in reflexive Banach spaces to be a nonempty bounded set are obtained.

关 键 词：向量混合变分不等式 非空有界 C-F伪单调 Mosco收敛 

分 类 号：O224.1[理学—运筹学与控制论]