Exceptional Families and Nonlinear Complementarity Problems

摘要：

In this paper, we study the following Linear Complementarity problem: f: Rn-Rn, find x>0, such that f (x)>0,xTf(x)=0 .We use Poineare-Bohns homotopy invariance theorem of degree to derive an alternative theorem, and give a new exceptional families. Based on this result, for the nonlinear complementarity problems with a quasi-P. mapping or a P(T,CX,J3)-mapping or a semi-monotone mapping, a sufficiently condition is established to assure the existence and boundedness of solution curve.

关键词： complementarity problems quasi- P. -mapping P(τ α β) -mapping alternative theorem semi-monotone mapping

作者: Xiuyu Wang Xingwu Jiang Qinghuai Liu

作者单位: School of Basic Science Changchun University of Technology Changchun, 130012, P.R. China Jilin Business and Technology College, Changchun, 130012, P.R. China Institute of Applied Mathematics, Changchun University of Technology Changchun, 130012, P.R. China

会议类型: 国际会议

会议名称: 2011 3rd International Conference on Computer and Automation Engineering(ICCAE 2011)(2011年第三届IEEE计算机与自动化工程国际会议)

会议地点: 重庆

会议语种:英文

页码: 15-19

在线出版日期: 2011-01-21（万方平台首次上网日期，不代表论文的发表时间）