On vector quasi-equilibrium problems with set-valued maps

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	On vector quasi-equilibrium problems with set-valued maps
	Hou, SH ; Yu, H ; Chen, GY
	2003-12-01
发表期刊	JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
ISSN	0022-3239
卷号	119 期号:3 页码:485-498
摘要	In this paper, we introduce a new class of vector quasi-equilibrium problems with set-valued maps. Almost all the vector equilibrium models of the Blum-Oettli type in the literature are special cases of our new class of equilibrium problems under consideration. Moreover, a number of C-diagonal quasiconvexity properties are proposed for set-valued maps, which are natural generalizations of the gamma-diagonal quasiconvexity for real functions. Together with an application of continuous selection and fixed-point theorems, these conditions enable us to prove unified existence results of solutions for such vector equilibrium problems.
关键词	vector quasi-equilibrium problems set-valued maps lower sections C-diagonal quasiconvexity continuous selection fixed points
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:000186984900003
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/18455
专题	中国科学院数学与系统科学研究院
通讯作者	Hou, SH
作者单位	1.Hong Kong Polytech Univ, Dept Appl Math, Hong Kong, Hong Kong, Peoples R China 2.Chinese Acad Sci, Inst Syst Sci, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Hou, SH,Yu, H,Chen, GY. On vector quasi-equilibrium problems with set-valued maps[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,2003,119(3):485-498.
APA	Hou, SH,Yu, H,&Chen, GY.(2003).On vector quasi-equilibrium problems with set-valued maps.JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,119(3),485-498.
MLA	Hou, SH,et al."On vector quasi-equilibrium problems with set-valued maps".JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 119.3(2003):485-498.