General Ekeland's variational principle for set-valued mappings

CSpace

	General Ekeland's variational principle for set-valued mappings
	Chen, GY ; Huang, XX ; Hou, SH
	2000-07-01
发表期刊	JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
ISSN	0022-3239
卷号	106 期号:1 页码:151-164
摘要	In this paper, we introduce the concept of approximate solutions for set-valued optimization problems. A sufficient condition for the existence of approximate solutions is obtained. A general Ekeland's variational principle for set-valued mappings in complete ordered metric spaces and complete metric spaces are derived. These results are generalizations of results for vector-valued functions in Refs. 1-4.
关键词	set-valued optimization variational principle Hausdorff maximality principle
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:000089145000008
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/15105
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.Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China 2.Chongqing Normal Univ, Dept Math & Comp Sci, Chongqing, Peoples R China 3.Hong Kong Polytech Univ, Dept Math Appl, Hong Kong, Hong Kong, Peoples R China
推荐引用方式 GB/T 7714	Chen, GY,Huang, XX,Hou, SH. General Ekeland's variational principle for set-valued mappings[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,2000,106(1):151-164.
APA	Chen, GY,Huang, XX,&Hou, SH.(2000).General Ekeland's variational principle for set-valued mappings.JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,106(1),151-164.
MLA	Chen, GY,et al."General Ekeland's variational principle for set-valued mappings".JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 106.1(2000):151-164.