Exceptional family of elements for a variational inequality problem and its applications

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	Exceptional family of elements for a variational inequality problem and its applications
	Zhao, YB; Han, J
	1999-05-01
发表期刊	JOURNAL OF GLOBAL OPTIMIZATION
ISSN	0925-5001
卷号	14 期号:3 页码:313-330
摘要	This paper introduces a new concept of exceptional family of elements (abbreviated, exceptional family) for a finite-dimensional nonlinear variational inequality problem. By using this new concept, we establish a general sufficient condition for the existence of a solution to the problem. Such a condition is used to develop several new existence theorems. Among other things, a sufficient and necessary condition for the solvability of pseudo-monotone variational inequality problem is proved. The notion of coercivity of a function and related classical existence theorems for variational inequality are also generalized. Finally, a solution condition for a class of nonlinear complementarity problems with so-called P-*-mappings is also obtained.
关键词	complementarity problem exceptional family of elements generalized monotonicity nonlinear variational inequality P-*-mapping
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:000081509100006
出版者	KLUWER ACADEMIC 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/14856
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,Han, J. Exceptional family of elements for a variational inequality problem and its applications[J]. JOURNAL OF GLOBAL OPTIMIZATION,1999,14(3):313-330.
APA	Zhao, YB,&Han, J.(1999).Exceptional family of elements for a variational inequality problem and its applications.JOURNAL OF GLOBAL OPTIMIZATION,14(3),313-330.
MLA	Zhao, YB,et al."Exceptional family of elements for a variational inequality problem and its applications".JOURNAL OF GLOBAL OPTIMIZATION 14.3(1999):313-330.