简介：本文旨在给出Banach空间值Hardy—Lorentz鞅空间的共轭空间的完全刻画．首先，对B值鞅引入了一类新的广义Lipschitz鞅空间及“原子鞅”的概念；其次，对B值Hardy-Lorentz鞅空间建立了“原子鞅”的分解定理；最后，以此为工具证明了其共轭空间是广义Lipschitz鞅空间．所得结论将已有的相应结果由实值鞅推广到Banach空间值鞅的情况．

简介：Inthispaper,theapproximationproblemsofIshikawaiterationwitherrorsoffixedpointsforasymptoticallynonexpansivemappingsandasymptoticallypseudocontractivemappingsinarbitraryrealBanachspacesareinvestigated.Somenecessaryconditionandsufficientconditionfortheconvergenceofiterativesequencesaregivenrespectively.Theresultsthusextendandimprovesomerecentcorrespondingresults.

简介：给出两类扰动增生算子的迭代程序,并证明它们的收敛性.

简介：讨论了Banach空间上强可测函数的选择定理，由此定理得到一个Banach空间自反的充要条件及其它一些有趣的结果，这些结果可用于Banach空间上最优控制问题的研究

简介：设f是2个Banach空间E和F之间C^1映射．已经证明，的广义正则点概念是f的正则点概念的一个推广并且在非线性分析和大范围分析中有非常重要的应用．用f产生的在X0∈E处的3个整数（或无穷大）值指标M（x0），Mc（x0）和Mr（x0）和分析Banach空间上有界线性算子的广义逆来刻画，的广义正则点，即，如果f＇（x0）在从E上到F的有界线性算子组成的Banach空间B（E，F）内有广义逆，且M（x0），Mc（x0）和Mr（x0）中至少有一个是有限，则x0是f的广义正则点的充分必要条件是多重指标（M（x），Mc（x），Mr（x））在x0点处连续．

简介：TheexistenceofsolutionsforsystemsofnonlinearimpulsiveVolterraintegralequationsontheinfiniteintervalR+withaninfinitenumberofmomentsofimpulseeffectinBanachspacesisstudied.Someexistencetheoremsofextremalsolutionsareobtained,whichextendtherelatedresultsforthisclassofequationsonafiniteintervalwithafinitenumberofmomentsofimpulseeffect.Theresultsaredemonstratedbymeansofanexampleofaninfinitesystemsforimpulsiveintegralequations.

简介：Weshallgeneralizetheresultsof[9]aboutcharacterizationofisomorphismsonquasi-Banachalgebrasbyprovidingintegraltypeconditions.Also,weshallgivesomenewresultsinthiswayandfinally,givearesultabouthybridfixedpointoftwohomomorphismsonquasi-Banachalgebras.

简介：Inthispaper,wearedevotedtotheconvergenceanalysisofalgorithmsforgeneralizedset-valuedvariationalinclusionsinBanachspaces.Ourresultsimprove,extend,anddeveloptheearlierandrecentcorrespondingresults.

简介：本文利用共轭Ｃ０半群的扰动理论研究了无界容许控制算子，在太阳自反和非太阳自反Ｂａｎａｃｈ空间分别导出了一些容许性判据，并把这些抽象结果应用到了有限和无限延滞方程．

简介：ＴＨＥＰＡＴＨＷＩＳＥＳＯＬＵＴＩＯＮＦＯＲＡＣＬＡＳＳＯＦＱＵＡＳＩＬＩＮＥＡＲＳＴＯＣＨＡＳＴＩＣＤＩＦＦＥＲＥＮＴＩＡＬＥＱＵＡＴＩＯＮＩＮＢＡＮＡＣＨＳＰＡＣＥＳＩＨｕＹａｏｚｈｏｎｇ（胡耀忠）（ＷｕｈａｎＩｎｓｔ．ｏｆＭａｔｈ．Ｓｃｉ．，Ｃ...

简介：LetB(resp.K,Bl,Kl)denotethesetofallnonemptybounded(resp.compact,boundedconvex,compactconvex)closedsubsetsoftheBanachspaceX,endowedwiththeHausdorffmetric,andletGbeanonemptyrelativelyweaklycompactclosedsubsetofX.LetB°standforthesetofallF∈Bsuchthattheproblem(F,G)iswell-posed.Weprovedthat,ifXisstrictlyconvexandKadec,thesetKl∩B°isadenseG_δ-subsetofKl\G.Furthermore,ifXisauniformlyconvexBanachspace,wewillprovemore,namelythatthesetB\B°(resp.K\B°,Bl\B°,Kl\B°)isa-porousinB(resp.K,Bl,Kl).Moreover,weprovethatformost(inthesenseoftheBairecategory)closedboundedsubsetsGofX,thesetK\B°isdenseanduncountableinK.

简介：本文给出了广义Dunkl—Williams常数与一些著名几何常数例如凸系数、光滑系数、James常数之间的关系，从而得到一些蕴含不动点性质的充分条件，另外通过广义Dunkl-Williams常数的上下界的估计给出了Banach空间一致非方的刻画．

简介：ＩｎｔｒｏｄｕｃｔｉｏｎＩｎ［１］ｔｈｅｅｘｉｓｔｅｎｃｅａｎｄｉｔｅｒａｔｉｖｅａｐｐｒｏｘｉｍａｔｉｏｎｏｆｍｉｎｉｍａｘｑｕａｓｉ＿ｓｏｌｕｔｉｏｎｓｆｏｒｔｈｅｆｏｌｌｏｗｉｎｇＩＶＰ（＊）ｏｆｆｉｒｓｔｏｒｄｅｒｉｍｐｕｌｓｉｖｅｄｉｆｆｅ...

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

简介：WeextendtheconceptofframemultiresolutionanalysistoalocallycompactabeliangroupanduseittodefinecertainweightedBanachspacesandthespacesoftheirantifunctionals.Wedefineanalysisandsynthesisoperatorsonthesespacesandestablishthecontinuityoftheircomposition.Also,weproveageneralresulttocharacterizeinfinitetreesintheaboveBanachspacesofantifunctionals.ThispaperpavesthewayforthestudyofcorrespondingproblemsassociatedwithsomeothertypesofBanachspacesonlocallycompactabeliangroupsincludingmodulationspaces.

简介：利用连续线性泛函满足的某些条件，给出了关于ｍ－增生、奇算子的一些映射结果，这些结果是对已有文献中相应结果的改进．其中第二节中考虑了算子的奇性，运用Ｂｏｒｓｕｋ定理得出了ｍ一增生、奇算子的映射定理；在第三节中讨论了凝聚映射的相应结果．

简介：Inthispaper,westudyanoperatorswhichmapseveryn-by-nsymmetricmatrixA,toamatrixs(A_n)thatminimizes||B_n-A_n||FoverthesetofallmatricesB_n,thatcanbediagonalizedbythesinetransform.Thematrixs(A_n),calledtheoptimalsinetransformpreconditioner,isdefinedforanyn-by-nsymmetricmatricesA_n.Thecostofconstructings(A_n)isthesameasthatofoptimalcirculantpreconditionerc(A_n)whichisdefinedin[8],Thes(A_n)hasbeenprovedin[6]tobeagoodpreconditionerinsolvingsymmetricToeplitzsystemswiththepreconditionedconjugategradient(PCG)method.Inthispaper,wediscussthealgebraicandgeometricpropertiesoftheoperators,andcomputeitsoperatornormsinBanachspacesofsymmetricmatrices.Somenumericaltestsandanapplicationinimagerestorationarealsogiven.

简介：TheconvergenceproblemofthefamilyofEuler-HalleymethodsisconsideredundertheLipschitzconditionwiththeL-average,andaunitedconvergencetheorywithitsapplicationsispresented.

简介：本文应用解析鞅的一类特殊的不等式给出了具有AUMD性质的复Banach空间的某些特征

简介：InthepresentpaperweintroducearandomiterationschemeforthreerandomoperatorsdefinedonaclosedandconvexsubsetofauniformlyconvexBanachspaceandproveitsconvergencetoacommonfixedpointofthreerandomoperators.Theresultisalsoanextensionofaknowntheoreminthecorrespondingnon-randomcase.