关于局部凸的Hausdorff拓扑向量空间中的广义变分不等式问题  

On generalized nonlinear variational inequalities in locally convex Hausdorff topological vector spaces

作　　者：杨鑫波[1] 

机构地区：[1]重庆教育学院计算机与现代教育技术系,重庆400067

出　　处：《重庆教育学院学报》2009年第3期7-8,共2页Journal of Chongqing College of Education

摘　　要：在局部凸的Hausdorff拓扑向量空间中讨论了带松弛上强制映射的广义非线性变分不等式,得到的结果推广了在带单调和强单调映射情形下的广义非线性变分不等式。In this paper, we consider a generalized nonlinear variational inequalities involving a coercive mapping in a locally convex Hausdorff topological vector spaces, the obtained result generalizes the results of generalized nonlinear variational inequalities on monotone and strong monotone mapping.

关 键 词：松弛上强制 强单调 变分不等式 拓扑向量空间 

分 类 号：O177.91[理学—数学]