摘要
本文提出一些新的拟变分包含系统,利用向量映射的锥连续性与Park不动点定理,得到解的存在定理与解集的闭性.作为应用,得到对称强向量拟均衡问题与理想向量鞍点的存在性,推广与改进了近期的一些相关研究工作.
In this paper, new systems of quasivariational inclusion problems are presented, and by using the cone-continuity of vector mappings and the Park＇s fixed point theorem, the existence theorems of solutions and the closedness of the solution sets are obtained. As applica- tions, existence theorems for symmetric strong vector quasiequilibrium problem and generalized ideal vector saddle point are derived. Main results of some recent research works are extended and improved.
出处
《数学进展》
CSCD
北大核心
2011年第5期606-620,共15页
Advances in Mathematics（China）
基金
supported by NSFC(No.11061023)
the Natural Science Foundation of Jiangxi Province(No.2010GZS0145)
the Youth Foundation of Jiangxi Educational Committee(No.G J J10086)
关键词
拟变分包含系统
强向量均衡问题
锥连续
真拟凸性
理想向量鞍点
system of quasivariational inclusion problems
strong vector equilibriumproblem
cone-continuity
proper quasiconvexity
ideal vector saddle point
