幾個(gè)新的不動(dòng)點(diǎn)迭代算子的收斂性定理.pdf

1、西南大學(xué)碩士學(xué)位論文幾個(gè)新的不動(dòng)點(diǎn)迭代算子的收斂性定理姓名：劉奇飛申請(qǐng)學(xué)位級(jí)別：碩士專(zhuān)業(yè)：應(yīng)用數(shù)學(xué)指導(dǎo)教師：鄧?yán)?0090401CoMajor：AppliedMathematicsSpeciality：NonlinearFunctionalAnalysisSupervisor：ProfessorLeiDengName：QifeiLiuABSTRACTInrecentyears，Iterativetechniquesforapproxim

2、atingfixedpointsofnonexpansivemappingsorasymptoticallynonexpansive(type)mappingshavebeenstudiedbyanumberofauthors，usingtheManniterationprocessortheIshikawaiterationprocessAsamatteroffact，severalnewiterativeschemesareintr

3、oducedandstudiedinthispaperThispaperwilldiscussitinthefollowingway：。Insection1，thepurposeistoproveanovelinequalityonsequenceandsomesufficientandnecessaryconditionsonthestrongconvergenceofanewiterativeprocessfornonexpausi

4、vemappingsinconvexmetricspacesInsection2，itisprovedanewinequalityonsequenceandsomesufficientandnecessaryconditionsforanewiterativeschemeconvergestothefixedpointoftheasymptoticallyquasinonexpanswemappingsInsection3，anewit

5、erativescheme，viewedasanextensionforIshikawaiterationwitherrors，isintroducedandstudiedfornonselfgeneralizedasymptoticallyquasinonexpansivemappingsinBanachspacesItisremarkedthattheresultspresentedinthispaperaxenewevenforn

6、onexpansivemapsThus，ourresultsgeneralizeandunifythecorrespondingresultsKeywords：Convexmetricspaces；Nonexpansivemappings；TotalaSymptoticallyquasinonexpansivemappings；NonselfgeneralizedaSymptoticallyquasinonexpansivemappin