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Lagrangian multipliers, saddle points, and duality in vector optimization of set-valued maps
Li, ZF; Chen, GY
1997-11-15
Source PublicationJOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN0022-247X
Volume215Issue:2Pages:297-316
AbstractThis paper establishes an alternative theorem for generalized inequality-equality systems of set-valued maps. Based on this, several (Lagrange) multiplier type as well as saddle point type necessary and sufficient conditions are obtained for the existence of weak minimizers in Vector optimization of set-valued maps. Lagrange type duality theorems are also derived. (C) 1997 Academic Press.
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:A1997YK66500001
PublisherACADEMIC PRESS INC JNL-COMP SUBSCRIPTIONS
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/28965
Collection中国科学院数学与系统科学研究院
Corresponding AuthorLi, ZF
AffiliationCHINESE ACAD SCI,INST SYST SCI,BEIJING 100080,PEOPLES R CHINA
Recommended Citation
GB/T 7714
Li, ZF,Chen, GY. Lagrangian multipliers, saddle points, and duality in vector optimization of set-valued maps[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,1997,215(2):297-316.
APA Li, ZF,&Chen, GY.(1997).Lagrangian multipliers, saddle points, and duality in vector optimization of set-valued maps.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,215(2),297-316.
MLA Li, ZF,et al."Lagrangian multipliers, saddle points, and duality in vector optimization of set-valued maps".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 215.2(1997):297-316.
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