简介:Weconsidersomeclassesofgeneralizedgapfunctionsfortwokindsofgen-eralizedvariationalinequalityproblems.Weobtainerrorboundsfortheunderlyingvari-ationalinequalitiesusingthegeneralizedgapfunctionsundertheconditionthatthein-volvedmappingFisg-stronglymonotonewithrespecttothesolution,butnotnecessarilycontinuousdifferentiable,evennotlocallyLipschitz.
简介:Howtoefficientlymeasurethedistancebetweentwobasicprobabilityassignments(BPAs)isanopenissue.Inthispaper,anewmethodtomeasurethedistancebetweentwoBPAsisproposed,basedontwoexistingmeasuresofevidencedistance.Thenewproposedmethodiscomprehensiveandgeneralized.Numericalexamplesareusedtoillustratetheeffectivenessoftheproposedmethod.
简介:在这篇论文,我们基于没有任何凸状结构,在拓扑的空格印射的微弱地概括的KKM建立一些新概括KKM类型定理。作为应用,一些得最高分的战略不平等和为一个抽象概括向量平衡问题的平衡点的一条存在定理在拓扑的空格被证明。在这篇论文介绍的结果在最近的文学统一并且概括一些已知的结果。关键词微弱地概括了印射的KKM-概括KKM类型定理-微弱地概括了斜伪凸-(W,S,K)印射对-概括向量平衡2000苏布杰克特先生分类91B50-91A44-91A13由国家天赋支持了中国(号码10771058)和湖南的科学基础省的自然科学基础(号码09JJ6013)。
简介:E.Zeidlerin[10]mentionsthattransversalityiscertainlyoneofthemostimportantconceptsofmodernmathematics,whichprovidedananswertothequestion:whenisthepreimageofamanifoldamanifold.Thisisthecelebratedtransversalitytheorem,whichhasbeenappliedwidelytodifferentialtopologyanddynamicsystemin[1,2]and[3].
简介:WegivearigorousproofoftheequivalenceofMa’ssupercriticalpotentialandtheminimalactionwithrespecttoanassociatedJacobi-Finslermetric.Asaconsequence,wegiveanexplicitrepresentationoftheweakKAMsolutionsofone-dimensionalmechanicalsystemswithoutthequadraticassumptiononthekineticenergytermoftheHamiltonians,andacriterionoftheintegrabilityresultforsuchasystemofarbitrarydegreeoffreedombytheregularityassumptiononMather’sα-functionisdiscussed.
简介:让R是一枚戒指,一,bR,(D,,并且(),并且(G,)二被概括R的推导。如果,它被证明那为所有xR的广告(x)=G(x)b,那么,下列可能性之一成立:(i)如果也orb在C被包含,那么==0并且在那里存在p,qQr(RC)以便为所有xR的D(x)=px和G(x)=qx;(ii)如果andb在C被包含,那么也=b=0或D和G线性地是C依赖;(iii)如果既不一b也没在C被包含,那么在那里存在p,qQr(RC)和wQr(R)以便(x)=[q,x]_and(x)=[x,p]_for所有xR,何处D(x)=wx?有vC和aw的xq和G(x)=xp+avx?pb=0。