A nonlinear scalarization function and generalized quasi-vector equilibrium problems

doi:10.1007/s10898-003-2683-2

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	A nonlinear scalarization function and generalized quasi-vector equilibrium problems
	Chen, GY ; Yang, XQ ; Yu, H
	2005-08-01
发表期刊	JOURNAL OF GLOBAL OPTIMIZATION
ISSN	0925-5001
卷号	32 期号:4 页码:451-466
摘要	Scalarization method is an important tool in the study of vector optimization as corresponding solutions of vector optimization problems can be found by solving scalar optimization problems. In this paper we introduce a nonlinear scalarization function for a variable domination structure. Several important properties, such as subadditiveness and continuity, of this nonlinear scalarization function are established. This nonlinear scalarization function is applied to study the existence of solutions for generalized quasi-vector equilibrium problems.
关键词	existence generalized quasi-vector equilibrium scalarization method
DOI	10.1007/s10898-003-2683-2
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:000233043400004
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/1289
专题	中国科学院数学与系统科学研究院
通讯作者	Chen, GY
作者单位	1.Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China 2.Hong Kong Polytech Univ, Dept Appl Math, Kowloon, Hong Kong, Peoples R China 3.Tsing Hua Univ, Sch Econ & Management, Beijing 100081, Peoples R China
推荐引用方式 GB/T 7714	Chen, GY,Yang, XQ,Yu, H. A nonlinear scalarization function and generalized quasi-vector equilibrium problems[J]. JOURNAL OF GLOBAL OPTIMIZATION,2005,32(4):451-466.
APA	Chen, GY,Yang, XQ,&Yu, H.(2005).A nonlinear scalarization function and generalized quasi-vector equilibrium problems.JOURNAL OF GLOBAL OPTIMIZATION,32(4),451-466.
MLA	Chen, GY,et al."A nonlinear scalarization function and generalized quasi-vector equilibrium problems".JOURNAL OF GLOBAL OPTIMIZATION 32.4(2005):451-466.