简介：ThispapershowsthatXisuniformlynon-squareiffP(η_o)>0forsomeη_o∈(0,2).ThusXissuper-reflexiveifandonlyifforXthereexistsanequivalentnormwhichmeetstheabovecondition.Byvirtueofthebeforementionedresult,theauthorderivesthenecessary,andsuffi-cientconditionsforXandl~p(X_j)beinguniformlynon-square,respectively,andgivesacharacterizationoffinite-dimensionalspaceswhichareuniformlynon-square.

简介：InthepresentpaperweextendpreviousresultsaboutthemonotoaicityofBernstein-typeoperatorsrdtiwetoconvexfunctionsandaboutthepreservationofLipschitzclasses.

简介：LetEbeauniformlysmoothBanachspace,KbeanonemptyclosedconvexsubsetofE,andsuppose:T:K→Kisacontinuousφ-stronglypseudocontractiveoperatorwithaboundedrange.Usinganewanalyticalmethod,undergeneralcases,theIshikawaiterativeprocess{xn}convergesstronglytotheuniquefixedpointx*oftheoperatorTwereproved.Thepapergeneralizesandextendsalotofrecentcorrespondingresults.

简介：ＰＡＲＡＢＯＬＩＣＥＱＵＡＴＩＯＮＳＷＩＴＨＢＯＴＨＮＯＮ－ＣＯＮＶＥＸＩＴＹＮＯＮＬＩＮＥＡＲＩＴＩＥＳＡＮＤＳＴＲＯＮＧＤＥＧＥＮＥＲＡＣＹＹｉｎＪｉｎｇｘｕｅ（尹景学）（ＩｎｓｔｉｔｕｔｅｏｆＭａｔｈｅｍａｔｉｃｓ，ＪｉｌｉｎＵｎｉｖｅｒｓｉｔ...

简介：LetΩ∪→R^m(m≥1)beaboundeddomainwithpiecewisesmoothboundaryρ↓Ω.Lettandrbepositiveintegerswitht>r+1.Weconsidertheeigenvalueproblems(1.1)and(1.2),andobtainTheorem1andTheorem2,whichgeneralizetheresultsin[1,2,5].

简介：Inthisarticle,wewillinvestigatethepropertiesofiterativesequencefornon-expansivemappingsandpresentseveralstrongandweakconvergenceresultsofsuccessiveapproximationstofixedpointsofnon-expansivemappingsinuniformlyconvexBanachspaces.Theresultspresentedinthisarticlegeneralizeandimprovevariousonesconcernedwithconstructivetechniquesforthefixedpointsofnon-expansivemappings.

简介：Thepurposeofthispaperistoinvestigatesomesufficientandnecessaryconditionsforthree-stepIshikawaiterativesequenceswitherrortermsforuniformlyquasi-Lipschitzianmappingstoconvergetofixedpoints.OurresultsextendandimprovetherecentonesannouncedbyLiu[3,4],XuandNoor[5],andmanyothers.

简介：InthepresentpaperweintroducearandomiterationschemeforthreerandomoperatorsdefinedonaclosedandconvexsubsetofauniformlyconvexBanachspaceandproveitsconvergencetoacommonfixedpointofthreerandomoperators.Theresultisalsoanextensionofaknowntheoreminthecorrespondingnon-randomcase.

简介：

简介：Inthispaper,letKbeanonemptysubsetofauniformlysmoothBanachspaceX,andT:K→2~kbeamultivaluedoperatorofthemonotonetype.TheiterativesequencewhichconvergesstronglytotheuniquefixedpointofTisgiven.OurresultsaretheextensionandimprovementsoftheresultsobtainedpreviouslybyseveralauthorsincludingDunn,Chidume,DengandDing.