非擴(kuò)張映像不動點的迭代逼近及應(yīng)用.pdf

1、天津工業(yè)大學(xué)碩士學(xué)位論文非擴(kuò)張映像不動點的迭代逼近及應(yīng)用姓名：邢林芳申請學(xué)位級別：碩士專業(yè)：應(yīng)用數(shù)學(xué)指導(dǎo)教師：陳汝棟20071201AbstractInthispaper，firstlyinHilbertspacesH，weconsidertheexplicitaveragingiterationsofnonexpansivenonselfmappings，andgetstrongconvergentresuItsTheresultsp

2、resentedextendandimprovethecorrespondingonesofYSSongandRDChen[Viscosityapproximationmethodsfornonexpansivenonselfmappings，JMathAnalAppl321(2006)316326】andSMatsushita，DKuroiwa『Strongconvergenceofaveragingiterationsofnonex

3、pansivemappings，JMathAnalAppl294(2004)206214】Then，weconsideranotheriteration，thatis，theiterationofasymptoticallynonexpansivemappingsofthenonemptyclosedconvexsubsetCtoHilbertspacesHWeuSeCQmethodstoconstructtheiterationszn

4、)，‰)，andgetstrongconvergentresultsTheresultspresentedextendandimprovethecorrespondingonesofTHKim，H一KXu[，StrongconvergenceofmodifiedManniterationsforasympototicallynonexpansivemappingsandsemigroups，NonlinearAnal64(2006)11

5、40—1152]Next，inq—uniformlyBanachspaces，weconstructiterationalgorithmthroughsunnynonexpansivemappingstoapproachthesolutionsofasystemoftll7lrononlinearvariationalinequalitiesproblemTheresultspresentedextendandimprovethecor

6、respondingonesofRU。Verma[Generalconvergneceanaly幽fortwostepprojectionmethodsandapplicationstovariationalproblems，ApplMathLett18(2005)12861292]Atlast，wepreliminarilyattempttousecomputerandcomparethespeedofthecommoniterati

7、vesequencessuchasPicarditerativesequence，Mannit—erativesequenceandIshikawaiterativesequenceTheresulthascertaintheorysignificanceandthepracticalsignificanceKeywords：nonselfmapping，CQMethods，Averagingiteration，Variationali