General Ekeland's variational principle for set-valued mappings
文献类型:期刊论文
作者 | Chen, GY; Huang, XX; Hou, SH |
刊名 | JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
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出版日期 | 2000-07-01 |
卷号 | 106期号:1页码:151-164 |
关键词 | set-valued optimization variational principle Hausdorff maximality principle |
ISSN号 | 0022-3239 |
英文摘要 | 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. |
WOS研究方向 | Operations Research & Management Science ; Mathematics |
语种 | 英语 |
WOS记录号 | WOS:000089145000008 |
出版者 | KLUWER ACADEMIC/PLENUM PUBL |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/15104] ![]() |
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. |
入库方式: OAI收割
来源:数学与系统科学研究院
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