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1、HandbookofGeneralizedConvexityandGeneralizedMonotonicityNonconvexOptimizationandItsApplicationsVolume76ManagingEditor:PanosPardalosUniversityofFlorida,U.S.A.AdvisoryBoard:J.R.BirgeUniversityofMichigan,U.S.A.Ding-ZhuDuUniversityofMinnesota,U.S.A.C.A.FloudasPrincetonUniversit
2、y,U.S.A.J.MockusLithuanianAcademyofSciences,LithuaniaH.D.SheraliVirginiaPolytechnicInstituteandStateUniversity,U.S.A.G.StavroulakisTechnicalUniversityBraunschweig,GermanyH.TuyNationalCentreforNaturalScienceandTechnology,VietnamHandbookofGeneralizedConvexityandGeneralizedMon
3、otonicityEditedbyNICOLASHADJISAVVASUniversityofAegeanSÁNDORKOMLÓSIUniversityofPécsSIEGFRIEDSCHAIBLEUniversityofCaliforniaatRiversideSpringereBookISBN:0-387-23393-8PrintISBN:0-387-23255-9©2005SpringerScience+BusinessMedia,Inc.Print©2005SpringerScience+BusinessMedia,Inc.Bosto
4、nAllrightsreservedNopartofthiseBookmaybereproducedortransmittedinanyformorbyanymeans,electronic,mechanical,recording,orotherwise,withoutwrittenconsentfromthePublisherCreatedintheUnitedStatesofAmericaVisitSpringer'seBookstoreat:http://ebooks.kluweronline.comandtheSpringerGlo
5、balWebsiteOnlineat:http://www.springeronline.comContentsPrefaceviiContributingAuthorsxviiPartIGENERALIZEDCONVEXITY1IntroductiontoConvexandQuasiconvexAnalysis3JohannesB.G.Frenk,GáborKassay2CriteriaforGeneralizedConvexityandGeneralizedMonotonicity89intheDifferentiableCaseJean
6、-PierreCrouzeix3ContinuityandDifferentiabilityofQuasiconvexFunctions121Jean-PierreCrouzeix4GeneralizedConvexityandOptimalityConditionsinScalarand151VectorOptimizationAlbertoCambiniandLauraMartein5GeneralizedConvexityinVectorOptimization195DinhTheLuc6GeneralizedConvexDuality
7、andItsEconomicApplications237JuanEnriqueMartinez-Legaz7AbstractConvexity293AlexanderRubinov,JoydeepDuttaviGENERALIZEDCONVEXITYANDMONOTONICITY8FractionalProgramming335JohannesB.G.Frenk,SiegfriedSchaiblePartIIGENERALIZEDMONOTONICITY9GeneralizedMonotoneMaps389NicolasHadjisavva
8、s,SiegfriedSchaible10GeneralizedConvexityandGeneralizedDerivatives421SándorKomlósi
