具有Brézis伪单调算子的广义拟变分不等式解的存在性(英文)  

Existence of Solution for Generalized Quasi-Variational Inequalities with Pseudo-Monotone Operators in the Sense of Brézis

作　　者：肖光强[1] 余显志[1] 赵胜利[1] 

机构地区：[1]中国人民解放军后勤工程学院基础部,重庆400016

出　　处：《西南大学学报（自然科学版）》2011年第2期135-139,共5页Journal of Southwest University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10871216)

摘　　要：利用有限维空间上变分不等式解的存在性理论,讨论了带有Brézis伪单调算子的广义变分不等式在一般拓扑空间上解的存在性,及广义拟变分不等式在局部凸Hausdorff拓扑向量空间上解的存在性.By the theorem of existence of solutions for the variational inequalities in the finite dimensional space,the existence of solutions for generalized variational inequalities with pseudo-monotone operator in the sense of Brézis in topological vector spaces and generalized quasi-variatonal inequalities in locally convex Hausdorff topological vector spaces are established.

关 键 词：广义变分不等式 广义拟变分不等式 伪单调算子 解的存在性 

分 类 号：O177.91[理学—数学]