简介：在这篇论文，由固定的点索引理论，为线性的潜水艇和经由二的asymptotically线性的操作员的固定的点的号码联合了平行亚super答案被学习。在合适的条件下面，为线性的潜水艇和asymptotically线性的操作员的至少九或七个不同的固定的点的存在被证明。最后，理论结果被用于Hammerstein不可分的方程的一个非线性的系统。

简介：ForaBanachSpaceXGarcia-FalsetintroducedthecoefficientR(X)andshowedthatifR(X)<2thenXhasafixedpoint.Inthispaper,wedefineameannon-expansivemappingTonXinthesensethat‖Tx-Ty‖≤a‖x-Y‖+b‖x-Ty‖foranyx,y∈X,wherea,5≥0,a+b≤1.WeshowthatifR(X)<2/(1+b)thenThasafixedpointinX.

简介：Letfbeatranscendentalmeromorphicfunctionand△f(z)=f(z+1)-f(z).Anumberofresultsareprovedconcerningtheexistencesofzerosandfixedpointsof△f(z)and△f(z)/f(z)whenf(z)isoforderσ(f)=1.Examplesshowthatsomeoftheresultsaresharp.

简介：LetCbeanonemptyboundedsubsetofap-uniformlyconvexBanachspaceX,andT={T(t):t∈S}beaLipschitziansemigrouponCwithliminf|||T(t)|||＜Np,whereNpisn→∞t∈sthenormalstructurecoefficientofX.SupposealsothereexistsanonemptyboundedclosedconvexsubsetEofCwiththefollowingproperties:(P1)x∈Eimpliesωw(x)E;(P2)TisasymptoticallyregularonE.Theauthorsprovethatthereexistsaz∈EsuchthatT(s)z=zforalls∈S.Further,underthesimilarcondition,theexistenceoffixedpointsofLipschitziansemigroupsinauniformlyconvexBanachspaceisdiscussed.

简介：这里，我们学习多重覆盖物合理并且我合理曲线。我们在m-gonal曲线上关于非差距顺序给一条定理。我们然后学习一般荒谬的盖住f：X→C，并且当时，说h0(X,f*(L))为C上的L线捆的=h0(C,L)。

简介：令简单图G=(V,E)是有p个顶点q条边的图.假设G的顶点和边由1,2,…,p+q所标号,且f:V∪E→{1,2,…,p+q}是一个双射,如果对所有的边xy,f(x)+f(y)+f(xy)是常量,则称图G是边幻图(edge-magic).本文证明了三路树P(m,n,t)当n为偶数,t=n+2时也是边幻图.

简介：Asplittingiterationmethodisproposedtocomputesymmetry-breakingTakens-Bog-danovpoints.Themethodcouldreducethecomputationalworkandstorage,itcouldalsoconvergelinearlywithanadjustablespeed,Numericalcomputationshowstheeffectivenessofsplittingiterationmethod.

简介：Thepurposeofthispaperistoinvestigatetheproblemofapproximatingfixedpointsofnon-Lipschitizianasymptoticallypseudocontractivemappingsinanar-bitraryrealBanachspacebythemodifiedIshikawaiterativesequenceswitherrors.

简介：ThispapergivesadefinitionofpermanentoptimaldatapointofLeastAbsoluteDeviation(LAD)problem.Sometheoreticalresultsonnon-degenerateLADproblemareobtained.ForcomputingLADproblem,anefficient,algorithmisgivenaccordingtotheideaofpermanentoptimaldatapoint.Numericalexperienceshowsthatouralgorithmisbetterthanmanyofothers,includingthefamousBRalgorithm.

简介：有自我地图f的n周期的点的数字的二代数学的更低的界限：一个协议的MM变光滑尺寸歧管至少3：NF<潜水艇class=“a-plus-plus”>n(f)=min{#Fix(g<啜class=“a-plus-plus”>n)；gf；g是连续的}并且NJD<潜水艇class=“a-plus-plus”>n(f)=min{#Fix(g<啜class=“a-plus-plus”>n)；gf；g是光滑的}。一般来说，NJD<潜水艇class=“a-plus-plus”>n(f)可能比NF大得多<潜水艇class=“a-plus-plus”>n(f)。如果M是一个花托，那么，invariants是相等的。我们证明为一个nonabelian协议谎言组的一张自我地图，与自由的基本的组一起，平等保持f导致的商cohomology同形的所有特征值有moduli1。

简介：LetXbeaBanachspacewithaweakuniformnormalstructureandCanon-emptyconvexweaklycompactsubsetofX.Undersomesuitablerestriction,weprovethateveryasymptoticallyregularsemigroupT={T(t):t∈S}ofselfmappingsonCsatisfyingliminf↑t→∞∈S|||T（t）|||

简介：AnaturalcompactificationofthevirtualconfigurationspaceofNpointsontheRiemannsphereisconstructedbyusingcross-ratios.WeshowthatthiscompactificationishomeomorphictotheBers’compactificationofthevirtualmodulispaceofapuncturedRiemannsphereoftypeN.Inparticular,thesystemofglobalandexplicitcoordinatesofthisstandardcompactificationisgivenbycross-ratios.

简介：WewillconsideranextensionofadirectmethodduetoGriewankandReddienforthecomputationofdoublesymmetry-breakingturningpointswhichariseinthetwo-parameterdependentnonlinearproblemoftheformf(x,λ,μ)=0.Themethodproposedcouldproduceanextendedsystemwhichdoesnotintroducethenullvectorsasvariables,andcouldthereforereducethecomputationaleffortandstorage.Onenumericalexampleispresentedtodemonstratethatthemethodisefficient.

简介：Someresultsfromthetheoryofbest(orbestsimultaneous)approximationinanarmedlinearspacehavebeenextendedtoanormedalmostlinearspace[strongnormedalmostlinearspace].

简介：Afewweakandstrongconvergencetheoremsofthemodifiedthree-stepiterativesequencewitherrorsandthemodifiedIshikawaiterativesequencewitherrorsforasymptoticallynon-expansivemappingsinanynon-emptyclosedconvexsubsetsofuniformlyconvexBanachspacesareestablished.TheresultspresentedinthispapersubstantiallyextendtheresultsduetoChang(2001),Osilikeandhniagbosor(2000),Rhoades(1994)andSchu(1991).

简介：一个单圈图G的邻接矩阵是奇异的当且仅当G含完美匹配和4m(m∈N)阶圈,或G和从G中删去唯一圈中的顶点及其关联边后得到的导出子图均不含完美匹配.单圈图的邻接矩阵的最大行列式是4.

简介：引进分次Armendariz环的概念,讨论了分次环R=n∈ZRn及由它导出的非分次环R,R0,及R[x]之间关于Armendariz环性质的关系,并推广了[8]的结论,得到在R=n∈ZRn是Z-型正分次环的前提下,若R是分次Armendariz,分次正规环,则R是P.P.环(Baer环)当且仅当R是分次P.P.环(分次Baer环).

简介：在Г-环中定义P-根，次P-根与拟P-根的概念，讨论它们的性质及相互间的关系．给出了次P-根的构造，证明了对Г-环的任一代数性质P，总可确定两个Amitsur-Kurosh根．同时，对Г-环的几个具体根的研究做了统一．拓广了Г-环根理论的研究领域．

简介：一些新连续选择定理首先在noncompact被证明拓扑的空格。作为应用程序，为珍视集合的mappings的二个家庭的一些新一起固定的点定理和巧合定理在noncompact的产品空格定义拓扑的空格在很弱的假设下面被获得。这些结果在最近的文学概括许多已知的结果。关键词连续选择-一起固定的点-为珍视集合的mappings的二个家庭的巧合定理-FC空间先生(2000)题目分类54C65-47H10-54H25这个工程被中国(2003A081)和SZD0406的四川教育部门的NSF支持

简介：SomecharacterizationsoftheconditionalexpectationoperatorsonLebesgue-BochnerspacesL_p(μ,X)aregiven,where1≤p<∞,p≠2.AlsoanexampleisgiventoshowthatthecharacterizationsoftheconditionalexpectationoperatorsonL_p(μ,X)aredifferentfromthatonL_p(μ)_zFinally,arepresentationoftheconstant-preservingcontractiveprojectiononspacesL_p(μ,X)isgotwhen0<p<1.