Properties of a homotopy solution path for complementarity problems with quasi-monotone mappings

doi:10.1016/S0096-3003(02)00830-5

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	Properties of a homotopy solution path for complementarity problems with quasi-monotone mappings
	Zhao, YB ; Li, GN
	2004-01-20
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	148 期号:1 页码:93-104
摘要	We study several properties of a homotopy solution path associated with continuous nonlinear quasi-monotone complententarity problems. We use Poincare-Bohn's homotopy invariance theorem of degree to derive an alternative theorem. Based on this result, a sufficient condition is established to assure the existence and boundedness of this homotopy solution path. Our results provide a theoretical, basis to develop a new computational method for quasi-monotone complementarity problems. (C) 2002 Elsevier Inc. All rights reserved.
关键词	complementarity problems homotopy solution paths mu-exceptional family quasimonotone mappings
DOI	10.1016/S0096-3003(02)00830-5
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000186439500007
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/19502
专题	中国科学院数学与系统科学研究院
通讯作者	Zhao, YB
作者单位	1.Chinese Acad Sci, Inst Appl Math, AMSS, Beijing 100080, Peoples R China 2.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, AMSS, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Zhao, YB,Li, GN. Properties of a homotopy solution path for complementarity problems with quasi-monotone mappings[J]. APPLIED MATHEMATICS AND COMPUTATION,2004,148(1):93-104.
APA	Zhao, YB,&Li, GN.(2004).Properties of a homotopy solution path for complementarity problems with quasi-monotone mappings.APPLIED MATHEMATICS AND COMPUTATION,148(1),93-104.
MLA	Zhao, YB,et al."Properties of a homotopy solution path for complementarity problems with quasi-monotone mappings".APPLIED MATHEMATICS AND COMPUTATION 148.1(2004):93-104.