向量变分和向量拟变分不等式解的存在性定理及应用  

ON THE EXlSTENCE PROBLEMS OFSOLUTIONS FOR VECTOR VARIATIONALAND VECTOR QUASI-VARIATIONALINEQUALITIES WITH APPLICATIONS

作　　者：张石生[1] 龙祥[1] 

机构地区：[1]四川联合大学数学系

出　　处：《应用数学学报》1999年第2期222-230,共9页Acta Mathematicae Applicatae Sinica

基　　金：国家自然科学基金

摘　　要：本文利用纯量化方法及ＫＫＭ技巧，研究向量变分和向量拟变分不等式解的存在性问题。作为应用本文还研究了向量互补问题及最优化问题解的存在性及其等价性刻划。本文结果改进和推广了已有的结果。By using scalarization methods and KKM technique, some existence theoremsfor vector variational inequalities and vector quasi-variational inequalities are given. Asapplications we utilize the results presented in this paper to study the existence problems ofsolutions for vector complementarity problem and optimization problem and its equivalencecharacterization. Our results extend and improve some recent results.

关 键 词：向量变分不等式 拟变分不等式 解 存在性 KKM 

分 类 号：O176[理学—数学] O177.91[理学—基础数学]