KMS Of Academy of mathematics and systems sciences, CAS
Nonconvex vector optimization of set-valued mappings | |
Li, SJ; Yang, XQ; Chen, GY | |
2003-07-15 | |
发表期刊 | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
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ISSN | 0022-247X |
卷号 | 283期号:2页码:337-350 |
摘要 | In this paper, we discuss properties, such as monotonicity and continuity, of the Gerstewitz's nonconvex separation functional. With the aid of this functional, necessary and sufficient optimality conditions for nonconvex optimization problems of set-valued mappings are obtained in topological vector spaces. (C) 2003 Elsevier Inc. All rights reserved. |
关键词 | nonconvex optimatity set-valued mapping minimal solution Gerstewitz's nonconvex separation functional |
DOI | 10.1016/S0022-247X(02)00410-9 |
语种 | 英语 |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics, Applied ; Mathematics |
WOS记录号 | WOS:000184434600001 |
出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/18852 |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Yang, XQ |
作者单位 | 1.Hong Kong Polytech Univ, Dept Appl Math, Kowloon, Hong Kong, Peoples R China 2.Chongqing Univ, Coll Sci, Dept Math & Appl Math, Chongqing 400045, Peoples R China 3.Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China |
推荐引用方式 GB/T 7714 | Li, SJ,Yang, XQ,Chen, GY. Nonconvex vector optimization of set-valued mappings[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2003,283(2):337-350. |
APA | Li, SJ,Yang, XQ,&Chen, GY.(2003).Nonconvex vector optimization of set-valued mappings.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,283(2),337-350. |
MLA | Li, SJ,et al."Nonconvex vector optimization of set-valued mappings".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 283.2(2003):337-350. |
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