D-orientation sequences for continuous functions and nonlinear complementarity problems

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	D-orientation sequences for continuous functions and nonlinear complementarity problems
	Zhao, YB
	1999-12-01
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	106 期号:2-3 页码:221-235
摘要	We introduce the new concept of d-orientation sequence for continuous functions. It is shown that if there does not exist a d-orientation sequence for a continuous function, then the corresponding complementarity problem (CP) has a solution. We believe that such a result characterizes an intrinsic property of CPs. As the concept of "exceptional family of elements", the notion of "d-orientation sequence of a function" is also a powerful tool for investigating the existence theorems of CPs. We use this new tool to establish, among other things, a new existence result for a class of P*-mapping CPs. (C) 1999 Published by Elsevier Science Inc. All rights reserved.
关键词	complementarity problems d-orientation sequence p-order generalized coercivity P*-mapping
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000083114000011
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/14706
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	Chinese Acad Sci, Inst Appl Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Zhao, YB. D-orientation sequences for continuous functions and nonlinear complementarity problems[J]. APPLIED MATHEMATICS AND COMPUTATION,1999,106(2-3):221-235.
APA	Zhao, YB.(1999).D-orientation sequences for continuous functions and nonlinear complementarity problems.APPLIED MATHEMATICS AND COMPUTATION,106(2-3),221-235.
MLA	Zhao, YB."D-orientation sequences for continuous functions and nonlinear complementarity problems".APPLIED MATHEMATICS AND COMPUTATION 106.2-3(1999):221-235.