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

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

简介：我们试图与一致加速学习球状地对称的参考框架的热力学的性质，包括Rindler参考框架和一致地加速的参考框架的新类型的球状地对称的归纳。我们正式发现一个人不同于关于地平线热力学的一般研究，不能在平常的途径为他们的地平线获得热力学的法律，尽管有一个罐头定义区域熵(兜售熵的Bekenstein)。事实上，为一套一致地加速的观察员的普通地平线总是不存在，尽管兜售的Unruh温度仍然是明确的。这结果显示兜售的Unruh温度仅仅是运动学的效果，并且为地平线获得热力学的法律，一个人需要动力学的帮助。我们的结果根据从在声学的黑洞附近的各种各样的研究的那些。

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

简介：我们在Dirichlet边界条件下面为边界和充分非线性的、一致地椭圆形的方程的连续粘性答案的内部坡度估计调查锋利的条件。当这些条件被违背时，能有在内部或在领域的边界上坡度骤起。特别地，我们比以前在更一般的生长条件下面在连续粘性答案的本地、全球的Lipschitz连续性上导出锋利的结果。当Dirichlet条件满足在时，边界附近的Lipschitz整齐允许我们预言一古典并且不仅仅在粘性意义，在分开能发生的地方。另一后果是这：如果内部坡度骤起发生，露天梯级类型解决方案能一般来说变得不连续，以便Dirichlet问题能在连续粘性解决方案的类上变得不可解。

简介：这篇论文为横梁问题为有限元素方法建议一个可靠、有效的后验错误评估者。错误能被可计算出来的错误评估者从上面并且下面围住直到也也不不在横梁的厚度上取决于网孔尺寸的趋于增加的常数，这被证明。

简介：Inthispaper,weprovethatakindofsecondorderstochasticdiferentialoperatorcanberepresentedbythelimitofsolutionsofBSDEswithuniformlycontinuouscoefcients.Thisresultisageneralizationoftherepresentationfortheuniformlycontinuousgenerator.Withthehelpofthisrepresentation,weobtainthecorrespondingconversecomparisontheoremfortheBSDEswithuniformlycontinuouscoefcients,andgetsomeequivalentrelationshipsbetweenthepropertiesofthegeneratorgandtheassociatedsolutionsofBSDEs.Moreover,wegiveanewproofaboutg-convexity.

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

简介：InthepresentpaperweintroducearandomiterationschemeforthreerandomoperatorsdefinedonaclosedandconvexsubsetofauniformlyconvexBanachspaceandproveitsconvergencetoacommonfixedpointofthreerandomoperators.Theresultisalsoanextensionofaknowntheoreminthecorrespondingnon-randomcase.

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

简介：在这份报纸，用水泡功能，我们构造一个长方体元素解决第四份订单在三种尺寸的椭圆形的单个不安问题。我们证明nonconformingC0长方体元素关于不安参数一致地在精力标准收敛。[从作者抽象]

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