Strict feasibility conditions in nonlinear complementarity problems

	Strict feasibility conditions in nonlinear complementarity problems
	Zhao, YB ; Li, D
刊名	JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
	2000-12-01
卷号	107 期号:3 页码:641-664
关键词	complementarity problems strict feasibility quasimonotone maps P-0-maps P-*-maps
ISSN号	0022-3239
英文摘要	Strict feasibility plays an important role in the development of the theory and algorithms of complementarity problems. In this paper, we establish sufficient conditions to ensure strict feasibility of a nonlinear complementarity problem. Our analysis method, based on a newly introduced concept of mu -exceptional sequence, can be viewed as a unified approach for proving the existence of a strictly feasible point. Some equivalent conditions of strict feasibility are also developed for certain complementarity problems. In particular, we show that a P-*-complementarity problem is strictly feasible if and only if its solution set is nonempty and bounded.
WOS研究方向	Operations Research & Management Science ; Mathematics
语种	英语
出版者	KLUWER ACADEMIC/PLENUM PUBL
WOS记录号	WOS:000166577500012
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/15092]
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 Univ Hong Kong, Dept Syst Engn & Engn Management, Shatin, Hong Kong, Peoples R China 2.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Zhao, YB,Li, D. Strict feasibility conditions in nonlinear complementarity problems[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,2000,107(3):641-664.
APA	Zhao, YB,&Li, D.(2000).Strict feasibility conditions in nonlinear complementarity problems.JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,107(3),641-664.
MLA	Zhao, YB,et al."Strict feasibility conditions in nonlinear complementarity problems".JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 107.3(2000):641-664.