fixed point theory and applications (cambridge tracts in mathematics)

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1、CAMBRIDGETRACTSINMATHEMATICSGeneralEditorsB.BOLLOBAS,W.FULTON,A.KATOK,F.KIRWAN,P.SARNAK141FixedPointTheoryandApplicationsThisbookprovidesaclearexpositionoftheflourishingfieldoffixedpointtheory.StartingfromthebasicsofBanach’scontractiontheorem,mostofthemainresultsandtechnique

2、saredeveloped:fixedpointresultsareestablishedforseveralclassesofmapsandthethreemainapproachestoestablishingcontinuationprinciplesarepresented.Thetheoryisappliedtomanyareasofcurrentinterestinanalysis.Topologicalconsiderationsplayacrucialrole,includingafinalchapterontherelati

3、onshipwithdegreetheory.Researchersandgraduatestudentsinapplicableanalysiswillfindthistobeausefulsurveyofthefundamentalprinciplesofthesubject.Theveryextensivebibliographyandcloseto100exercisesmeanthatitcanbeusedbothasatextandasacomprehensivereferencework,currentlytheonlyone

4、ofitstype.RaviP.AgarwalNationalUniversityofSingaporeMariaMeehanDublinCityUniversityDonalO’ReganNationalUniversityofIreland,GalwayFixedPointTheoryandApplicationsThePittBuilding,TrumpingtonStreet,Cambridge,UnitedKingdom

5、TheEdinburghBuilding,CambridgeCB22RU,UK40West20thStreet,NewYork,NY10011-4211,USA477WilliamstownRoad,PortMelbourne,VIC3207,AustraliaRuizdeAlarcón13,28014Madrid,SpainDockHouse,TheWaterfront,CapeTown8001,SouthAfricahttp://www.cambridge.org©CambridgeUni

6、versityPress2004Firstpublishedinprintedformat2001ISBN0-511-02094-5eBook(netLibrary)ISBN0-521-80250-4hardbackContentsPrefacepagevii1Contractions12NonexpansiveMaps123ContinuationMethodsforContractiveandNonexpansiveMappings194TheTheoremsofBrouwer,SchauderandMon¨ch285Nonlinea

7、rAlternativesofLeray–SchauderType486ContinuationPrinciplesforCondensingMaps657FixedPointTheoremsinConicalShells788FixedPointTheoryinHausdorffLocallyConvexLinearTopologicalSpaces949ContractiveandNonexpansiveMultivaluedMaps11210MultivaluedMapswithContinuousSelections12011Mul

8、tivaluedMapswithClosedGraph13012DegreeTheory142Bibliography159Index169vPrefacePerhapsthemostwell