1、哈爾濱理工大學(xué)碩士學(xué)位論文Banach空間中的Mann迭代和Ishikawa迭代姓名：張劍宇申請學(xué)位級別：碩士專業(yè)：基礎(chǔ)數(shù)學(xué)指導(dǎo)教師：崔云安20090301哈爾濱理工大學(xué)理學(xué)碩七學(xué)位論文MannIteratesandIshikawaIteratesinBanachSpaceAbstractItisprimarilystudiedinBanachspacethatsomekindsofmappingsconvergetothesemapp

2、ings’fixedpointinsenseofManniterationsandIshikawaiterationsFirst，themappings’convergenceproblemsincompactivespaceisextendedinthispaperInthispaperBecausethereisatleastonesubsequenceinanynumeroussequencesincompactivespace，

3、thequestionmentionedabovecanbeprovedeasilyInaddition，itcontinuestodiscussthemappings’convergenceproblemsinnoncompactivespaceSincetheconditionofcompactisnotavailableconditionIisintroducedTheresultoftheaboveisstillcorrectF

4、irst，thehistoryoffixedpointsisrepresentedLotsoftheoriesanddeftnitionsarequotedWecanknowsomethingaboutthefixedpointdevelopmentSecond，itisprimarilystudiednonexpansivemappings’convergenceproblemsinsenseofManniterationorIshi

5、kawaiterationAtfirst，itCanbeknownsomedefinitionsrelatedwiththispaperSuchasnonexpansivemapping，ManniterationandIshikawaiterationHausdoffmetricandsomerelatedtheoremsInaddition，itisprovedthatincompactivespace，themappinginse

6、nseofManniterationorIshikawaiterationconvergestothefixedpointofthemappingFinallyitisprovedthatthesemappingsconvergeinnon—compactivespaceSincethecompactivespaceiSnotavailable，theresultisstilltruebyassumptionofconditionLAn

7、ewManniteratonisintroducedThenthispapergivesUStheresultsthatthemappingconvergestoitsfixedpointwhichCanbenonexpansivemapping，quasinonexpansivemappingorgeneralizednonexpansivemappingKeywordsnonexpansivemapping，Hausdoffdist