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.
出处
《西南大学学报（自然科学版）》
CAS
CSCD
北大核心
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)
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
generalized variational inequality
generalized quasi-variational inequality
pseudo-monotone operator
existence of solutions
