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1、NonconvexOptimizationandItsApplicationsVolume90ManagingEditor:PanosPardalos,UniversityofFloridaAdvisoryBoard:J.R.Birge,UniversityofChicago,USADing-ZhuDu,UniversityofMinnesota,USAC.A.Floudas,PrincetonUniversity,USAJ.Mockus,LithuanianAcademyofSciences,
2、LithuaniaH.D.Sherali,VirginiaPolytechicInstituteandStateUniversity,USAG.E.Stavroulakis,TechnicalUniversityBraunschweig,GermanyH.Tuy,NationalCentreforNaturalScienceandTechnology,VietnamShashiKantMishra•Shou-YangWangKinKeungLaiGeneralizedConvexityandVe
3、ctorOptimization123Dr.ShashiKantMishraProf.Shou-YangWangBanarasHinduUniversityChineseAcademyofSciencesFacultyofScienceAcademyofMathematicsDepartmentofMathematicsandSystemsSciencesVaranasi-221005100080BeijingIndiaPeoplesRepublicofChinashashikant.dr@gm
4、ail.comsywang@amss.ac.cnProf.KinKeungLaiCityUniversityofHongKongDepartmentofManagementSciencesFacultyofBusiness83TatCheeAvenueKowloonTongHongKongmskklai@cityu.edu.hkISBN978-3-540-85670-2e-ISBN978-3-540-85671-9NonconvexOptimizationandItsApplicationsIS
5、SN1571-568XLibraryofCongressControlNumber:2008936488c2009Springer-VerlagBerlinHeidelbergThisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthematerialisconcerned,specificallytherightsoftranslation,reprinting,reuseofillustrations
6、,recitation,broadcasting,reproductiononmicrofilmorinanyotherway,andstorageindatabanks.DuplicationofthispublicationorpartsthereofispermittedonlyundertheprovisionsoftheGermanCopyrightLawofSeptember9,1965,initscurrentversion,andpermissionforusemustalways
7、beobtainedfromSpringer.ViolationsareliabletoprosecutionundertheGermanCopyrightLaw.Theuseofgeneraldescriptivenames,registerednames,trademarks,etc.inthispublicationdoesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfromtherelevantpr
8、otectivelawsandregulationsandthereforefreeforgeneraluse.Coverdesign:WMXDesignGmbH,HeidelbergPrintedonacid-freepaper987654321springer.comPrefaceThepresentlecturenoteisdedicatedtothestudyoftheoptimalityconditionsandthedualityresultsfornonlinearvectorop
