Sufficient conditions on nonemptiness and boundedness of the solution set of the P-0 function nonlinear complementarity problem

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	Sufficient conditions on nonemptiness and boundedness of the solution set of the P-0 function nonlinear complementarity problem
	Huang, ZH
	2002-06-01
发表期刊	OPERATIONS RESEARCH LETTERS
ISSN	0167-6377
卷号	30 期号:3 页码:202-210
摘要	Recently, the P-0 function nonlinear complementarity problem (NCP) has attracted a lot of attention among researchers. Various assumed conditions, which ensure that the NCP has a solution have been proposed. In this paper, by using the notion of an exceptional family of elements we develop a sufficient condition which ensures that the solution set of the P-0 function NCP is nonempty and bounded. In particular, we prove that many existing assumed conditions imply this sufficient condition. Thus, these conditions imply that the solution set of the P-0 function NCP is nonempty and bounded. In addition, we also prove directly that a few existence conditions imply that the solution set of the P-0 function NCP is bounded. (C) 2002 Elsevier Science B.V. All rights reserved.
关键词	P-0 function nonlinear complementarity problem nonemptiness and boundedness of the solution set exceptional family of elements
语种	英语
WOS研究方向	Operations Research & Management Science
WOS类目	Operations Research & Management Science
WOS记录号	WOS:000177178200010
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/17403
专题	中国科学院数学与系统科学研究院
通讯作者	Huang, ZH
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Huang, ZH. Sufficient conditions on nonemptiness and boundedness of the solution set of the P-0 function nonlinear complementarity problem[J]. OPERATIONS RESEARCH LETTERS,2002,30(3):202-210.
APA	Huang, ZH.(2002).Sufficient conditions on nonemptiness and boundedness of the solution set of the P-0 function nonlinear complementarity problem.OPERATIONS RESEARCH LETTERS,30(3),202-210.
MLA	Huang, ZH."Sufficient conditions on nonemptiness and boundedness of the solution set of the P-0 function nonlinear complementarity problem".OPERATIONS RESEARCH LETTERS 30.3(2002):202-210.