CSpace
Nonconvex vector optimization of set-valued mappings
Li, SJ; Yang, XQ; Chen, GY
2003-07-15
Source PublicationJOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN0022-247X
Volume283Issue:2Pages:337-350
AbstractIn 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.
Keywordnonconvex optimatity set-valued mapping minimal solution Gerstewitz's nonconvex separation functional
DOI10.1016/S0022-247X(02)00410-9
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000184434600001
PublisherACADEMIC PRESS INC ELSEVIER SCIENCE
Citation statistics
Cited Times:34[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/18852
Collection中国科学院数学与系统科学研究院
Affiliation1.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
Recommended Citation
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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