Unconstrained optimization reformulations of equilibrium problems

doi:10.1007/s10114-008-7096-1

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	Unconstrained optimization reformulations of equilibrium problems
	Zhang, Li Ping 1; Han, Ji Ye 2
	2009-03-01
发表期刊	ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN	1439-8516
卷号	25 期号:3 页码:343-354
摘要	We generalize the D-gap function developed in the literature for variational inequalities to a general equilibrium problem (EP). Through the D-gap function, the equilibrium problem is cast as an unconstrained minimization problem. We give conditions under which any stationary point of the D-gap function is a solution of EP and conditions under which it provides a global error bound for EP. Finally, these results are applied to box-constrained EP and then weaker conditions are established to obtain the desired results for box-constrained EP.
关键词	equilibrium problems D-gap function error bound unconstrained optimization
DOI	10.1007/s10114-008-7096-1
语种	英语
资助项目	National Natural Science Foundation of China[10871113] ; National Natural Science Foundation of China[10671013]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000264809300001
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/7368
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, Li Ping
作者单位	1.Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China 2.Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Li Ping,Han, Ji Ye. Unconstrained optimization reformulations of equilibrium problems[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2009,25(3):343-354.
APA	Zhang, Li Ping,&Han, Ji Ye.(2009).Unconstrained optimization reformulations of equilibrium problems.ACTA MATHEMATICA SINICA-ENGLISH SERIES,25(3),343-354.
MLA	Zhang, Li Ping,et al."Unconstrained optimization reformulations of equilibrium problems".ACTA MATHEMATICA SINICA-ENGLISH SERIES 25.3(2009):343-354.