Theorems of the alternative and optimization with set-valued maps

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	Theorems of the alternative and optimization with set-valued maps
	Yang, XM ; Yang, XQ ; Chen, GY
	2000-12-01
发表期刊	JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
ISSN	0022-3239
卷号	107 期号:3 页码:627-640
摘要	In this paper, the concept of generalized cone subconvexlike set-valued maps is presented and a theorem of alternative for the system of generalized inequality-equality set-valued maps is established. By applying the theorem of the alternative and other results, necessary and sufficient optimality conditions for vector optimization problems with generalized cone subconvexlike set-valued maps are obtained.
关键词	vector optimization set-valued maps generalized convexity equivalent conditions theorem of the alternatives optimality conditions
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:000166577500011
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/15611
专题	中国科学院数学与系统科学研究院
通讯作者	Yang, XM
作者单位	1.Chongqing Normal Univ, Dept Math, Chongqing, Peoples R China 2.Chinese Acad Sci, Inst Syst Sci, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Yang, XM,Yang, XQ,Chen, GY. Theorems of the alternative and optimization with set-valued maps[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,2000,107(3):627-640.
APA	Yang, XM,Yang, XQ,&Chen, GY.(2000).Theorems of the alternative and optimization with set-valued maps.JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,107(3),627-640.
MLA	Yang, XM,et al."Theorems of the alternative and optimization with set-valued maps".JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 107.3(2000):627-640.