简介：Weadoptthefollowingsymbolsandnotations.LetC[0,1]Nbetheclassofallrealcontinuousfunctionsin[0,1]whichhaveNcontinuousderivatives,L[0,1]pbethespaceofrealpthpowerintegrablefunctionson[0,1],andΔk,asusual,betheclassofkthmonotonefunctions.

简介：Wegiveaconstructionofthemaximum,andtheminimumofthesetofnondecreasmgapproxmantsinthediscretecase,whereisapositiveconoexfunction.Acharacterizationofthatsetisalsoobtained.

简介：让C是一个锥并且认为一个伪标准是在它上定义的p。我们学习夫妇的结构(C，p)作为在功能p也的情况中的一个拓扑的空格单调。当一个伪标准锥的拓扑学能借助于一个单调标准被定义时，我们描绘。我们也定义并且学习一个单调normed锥和一个一般的锥的单调商的双锥。我们提供允许我们作为对单调商同形的一个单调潜水艇锥和另外的特别潜水艇锥的直接的和写一个锥的一条分解定理。

简介：Recentlypeopleprovedthateveryf∈C[0,1]canbeuniformlyapproximatedbypolynomialsequences{Pn},{Qn}suchforanyx∈[0,1]andn=1,2,…thatQn（x）

简介：Apiecewisecubiccurvefittingalgorithmpreservingmonotonicityofthedatawithoutmodificationoftheassignedslopesigproposed.ThealgorithmhasthesameorderofconvergenceasYan’salgorithm[8]andGasparo-Morandi’salgorithm[5]foraccurateorO(hq)accurategivendata,butithasamorevisuallypleasingcurvethanthosetwoalgorithms.WealsodiscusstheconvergenceorderofcubicrationalinterpolationforO(hq)accuratedata.

简介：<正>Weusethemethodofloweranduppersolutionscombinedwithmonotoneiterationstodifferentialproblemswithaparameter.Existenceofextremalsolutionstosuchproblemsisproved.

简介：一些二功能的得最高分的战略定理被证明。在这些结果，楼梯；两功能的量拓扑的条件严格地包含单调转变；功能的价值混合。因而，林泉；Kindler的得最高分的战略定理被概括。

简介：AclassofparallelnonlinearmultisplittingAORmethodsissetupbydirectlymultisplittingthenonlinearmappingF:DCR^n→R^nforsolvingthenonlinearsystemofequationsF(x)=0.Thedifferentchoicesoftherelaxationparameterscanyieldalltheknownandalotofnewrelaxationmethodsaswellasalotofnewrelaxationparallelnonlinearmultisplittingmethods.Thetwo-sidedapproximationpropertiesandtheinfluencesonconvergencefromtherelaxationparametersaboutthenewmethodsareshown,andthesufficientconditionsguaranteeingthemethodstoconvergegloballyarediscussed.Finally,alotofnumericalresultsshowthatthemethodsarefeasibleandefficient.

简介：1.IntroductionLetKbeanonemptyclosedconvexsubsetofR"andletF:R"-R"beacontinuousmapping.Avariationalinequalityproblem(VIP)istofindapointx*eKsuchthatThevariationalinequalityproblemmakesitswideappearanceinthestudyofvariousequilibriummodelsineconomics,oper...

简介：GivenacontinuousfunctionfdefinedontheunitcubeofRnandaconvexfunctiont,t（0）-0,t（x）>0,forx>0,weprovethatthesetofbestLt-approximationsbymonotonefunctionshasexactlyoneelementft,whichisalsoacontinuousfunction.Moreoverifthefamilyofconvexfunctions{t}t>0convergesuniformlyoncompactsetstoafunction0,thenthebestapproximationft→f0uniformly,ast→0,wherefoisthebestapproximationoffwithintheOrliczspaceL0Thebestapproxima-tions{ft}areobtainedaswellasminimizingintegralsortheLuxemburgnorm

简介：Inthispaper,weusemonotoneiterativetechniquestoshowtheexistenceofmaximalorminimalsolutionsofsomeellipticPDEswithnonlineardiscontinuousterms.AsthenumericalanalysisofthisPDEsisconcerned,weprovetheconvergenceofdiscreteextremalsolutions.

简介：Letf（x）∈Lp[0,1],00.Denote|f|Λρα=[0,1-kh],k=[α]+1}.If|f|Λρα<∞,wesaythatf∈ΛραYu.A.BrudnyirecentlyestablishedanewinequalityofBer-nsteintypeforrationalfunctions.DenotingRntheclassofrationalfunctionsofdegreen,hegaveTheoremAIfrn∈Rnandp=（α+（1/q））-1with1≦q≦∞,α>0,then

简介：在这篇文章，修理了点asymptotically概括了伪--nonexpansivemappings和平衡问题基于一个单调设计算法被调查。没有紧密的帮助，强壮的集中定理在反射Banach空格的框架被建立。

简介：Undersuitableconditions,themonotoneconvergenceabouttheprojectediterationmethodforsolvinglinearcomplementarityproblemisprovedandtheinfluenceoftheinvolvedparametermatrixontheconvergencerateofthismethodisinvestigated.

简介：

简介：在这篇论文，单调的存在下列秒顺序的积极答案三点的边界价值问题被学习：在哪儿η∈(0，1)，δ∈[0，∞)，f∈C([0，1]×[0，∞)，[0，∞))。在某些生长下面调节非线性的条款f并且由由于Avery，安德森和Krueger使用锥扩大的一条固定的点定理和功能的类型的压缩，为单调的存在的足够的条件积极答案被获得，答案的界限被给。最后，一个例子被给说明纸的结果。

简介：Inthispaperwestudytheproximalpointalgorithm(PPA)basedpredictioncorrection(PC)methodsformonotonevariationalinequalities.Eachiterationofthesemethodsconsistsofapredictionandacorrection.ThepredictorsareproducedbyinexactPPAsteps.ThenewiteratesarethenupdatedbyacorrectionusingthePPAformula.Wepresenttwoprofitfunctionswhichservetwopurposes:Firstweshowthattheprofitfunctionsaretightlowerboundsoftheimprovementsobtainedineachiteration.Basedonthisconclusionweobtaintheconvergenceinexactnessrestrictionsforthepredictionstep.Secondweshowthattheprofitfunctionsarequadraticallydependentuponthesteplengths,thustheoptimalsteplengthsareobtainedinthecorrectionstep.Inthelastpartofthepaperwecomparethestrengthsofdifferentmethodsbasedontheirinexactnessrestrictions.

简介：Inthispaper,weshowthatforaneventuallystronglymonotoneskew-productsemiflowτ,thestrictorderingonEc(thesetconsistingofcontinuousequilibriaofτ)impliesthestrongone.

简介：在这份报纸，我们由Bernstein类型操作符与弗罗伊德重量在真实的线上为r单调函数的加权的近似给错误估计。

简介：Westudytheexistenceoftravelingwavesolutionsforanonlocalandnon-monotonedelayedreaction-difusionequation.Basedontheconstructionoftwoassociatedauxiliaryreactiondifusionequationswithmonotonicityandbyusingthetravelingwavefrontsoftheauxiliaryequations,theexistenceofthepositivetravelingwavesolutionsforc≥cisobtained.Also,theexponentialasymptoticbehaviorinthenegativeinfnitywasestablished.Moreover,weapplyourresultstosomereactiondifusionequationswithspatio-temporaldelaytoobtaintheexistenceoftravelingwaves.Theseresultscover,complementand/orimprovesomeexistingonesintheliterature.