Quasi-P-*-maps, P(tau,alpha,beta)-maps, exceptional family of elements, and complementarity problems

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	*Quasi-P--maps, P(tau,alpha,beta)-maps, exceptional family of elements, and complementarity problems**
	Zhao, YB ; Isac, G
	2000-04-01
发表期刊	JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
ISSN	0022-3239
卷号	105 期号:1 页码:213-231
摘要	Quasi-P-maps and P(tau, alpha, beta)-maps defined in this paper are two large classes of nonlinear mappings which are broad enough to include P-maps as special cases. It is of interest that the class of quasi-P-maps also encompasses quasimonotone maps (in particular, pseudomonotone maps) as special cases. Under a strict feasibility condition, it is shown that the nonlinear complementarity problem has a solution if the function is a nonlinear quasi-P-map or P(tau, alpha, beta)-map. This result generalizes a classical Karamardian existence theorem and a recent result concerning quasimonotone maps established by Hadjisawas and Schaible, but restricted to complementarity problems. A new existence result under an exceptional regularity condition is also established. Our method is based on the concept of exceptional family of elements for a continuous function, which is a powerful tool for investigating the solvability of complementarity problems.
关键词	nonlinear complementarity problems exceptional family of elements quasi-P-*-maps P(tau, alpha, beta)-maps exceptional regularity
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:000087264100011
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/15761
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, Peoples R China 2.Royal Mil Coll Canada, Dept Math & Comp Sci, Kingston, ON K7K 5L0, Canada
推荐引用方式 GB/T 7714	Zhao, YB,Isac, G. Quasi-P-*-maps, P(tau,alpha,beta)-maps, exceptional family of elements, and complementarity problems[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,2000,105(1):213-231.
APA	Zhao, YB,&Isac, G.(2000).Quasi-P-*-maps, P(tau,alpha,beta)-maps, exceptional family of elements, and complementarity problems.JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,105(1),213-231.
MLA	Zhao, YB,et al."Quasi-P-*-maps, P(tau,alpha,beta)-maps, exceptional family of elements, and complementarity problems".JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 105.1(2000):213-231.