一类积集上的广义向量变分不等式  

A Class of Generalized Vector Variational Inequalities over Product Sets

作　　者：黄龙光[1] 

机构地区：[1]集美大学理学院,厦门361021

出　　处：《应用数学学报》2011年第2期253-264,共12页Acta Mathematicae Applicatae Sinica

基　　金：国家自然科学基金(No.10771086);福建省自然科学基金(No.S0650021)资助项目

摘　　要：研究一类积集上具某种权向量的广义向量变分不等式组及其广义向量变分不等式的有关问题,刻画它们之间解的相互关系.在映射的次连续性和关于某向量广义单调性的条件下,利用集值映射的不动点定理,对所讨论的几种类型的广义向量变分不等式给出解的存住性.A class of generalized vector variational inequalities over product of sets and system of generalized vector variational inequalities are considered.The relationships of solution sets among those variational inequality problems are presented.With the hemicontinuity and several kinds of generalized monotonicities with respect to a vector,several existence results for the solutions of problems mentioned above are established by fixed point theorems of setvalued mappings.

关 键 词：广义向量变分不等式 对偶锥 伪单调 不动点 

分 类 号：O221[理学—运筹学与控制论]