Strict feasibility conditions in nonlinear complementarity problems

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	Strict feasibility conditions in nonlinear complementarity problems
	Zhao, YB ; Li, D
	2000-12-01
发表期刊	JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
ISSN	0022-3239
卷号	107 期号:3 页码:641-664
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.
关键词	complementarity problems strict feasibility quasimonotone maps P-0-maps P-*-maps
语种	英语
WOS研究方向	Operations Research & Management Science ; Mathematics
WOS类目	Operations Research & Management Science ; Mathematics, Applied
WOS记录号	WOS:000166577500012
出版者	KLUWER ACADEMIC/PLENUM PUBL
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/15093
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.