Properties of a multivalued mapping associated with some nonmonotone complementarity problems

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	Properties of a multivalued mapping associated with some nonmonotone complementarity problems
	Zhao, YB ; Isac, G
	2000-09-27
发表期刊	SIAM JOURNAL ON CONTROL AND OPTIMIZATION
ISSN	0363-0129
卷号	39 期号:2 页码:571-593
摘要	Using the homotopy invariance property of the degree and a newly introduced concept of the interior-point-epsilon-exceptional family for continuous functions, we prove an alternative theorem concerning the existence of a certain interior-point of a continuous complementarity problem. Based on this result, we develop several sufficient conditions to assure some desirable properties (nonemptyness, boundedness, and upper-semicontinuity) of a multivalued mapping associated with continuous (nonmonotone) complementarity problems corresponding to semimonotone, P(tau, alpha, beta) -, quasi- P*-, and exceptionally regular maps. The results proved in this paper generalize well-known results on the existence of central paths in continuous P-0 complementarity problems.
关键词	nonlinear complementarity problems central path interior-point-epsilon-exceptional family weakly univalent maps generalized monotonicity
语种	英语
WOS研究方向	Automation & Control Systems ; Mathematics
WOS类目	Automation & Control Systems ; Mathematics, Applied
WOS记录号	WOS:000089648700011
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/15121
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 Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China 2.Royal Mil Coll Canada, Dept Math & Comp Sci, Kingston, ON K7K 7B4, Canada
推荐引用方式 GB/T 7714	Zhao, YB,Isac, G. Properties of a multivalued mapping associated with some nonmonotone complementarity problems[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION,2000,39(2):571-593.
APA	Zhao, YB,&Isac, G.(2000).Properties of a multivalued mapping associated with some nonmonotone complementarity problems.SIAM JOURNAL ON CONTROL AND OPTIMIZATION,39(2),571-593.
MLA	Zhao, YB,et al."Properties of a multivalued mapping associated with some nonmonotone complementarity problems".SIAM JOURNAL ON CONTROL AND OPTIMIZATION 39.2(2000):571-593.