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简介:LetEbeauniformlysmoothBanachspace,KbeanonemptyclosedconvexsubsetofE,andsuppose:T:K→Kisacontinuousφ-stronglypseudocontractiveoperatorwithaboundedrange.Usinganewanalyticalmethod,undergeneralcases,theIshikawaiterativeprocess{xn}convergesstronglytotheuniquefixedpointx*oftheoperatorTwereproved.Thepapergeneralizesandextendsalotofrecentcorrespondingresults.
简介:TheexistenceofsolutionsforsystemsofnonlinearimpulsiveVolterraintegralequationsontheinfiniteintervalR+withaninfinitenumberofmomentsofimpulseeffectinBanachspacesisstudied.Someexistencetheoremsofextremalsolutionsareobtained,whichextendtherelatedresultsforthisclassofequationsonafiniteintervalwithafinitenumberofmomentsofimpulseeffect.Theresultsaredemonstratedbymeansofanexampleofaninfinitesystemsforimpulsiveintegralequations.
简介:AnewclassofalmostasymptoticallynonexpansivetypemappingsinBanachspacesisintroduced,whichincludesanumberofknownclassesofnonlinearLipschitzianmappingsandnon-LipschitzianmappingsinBanachspacesasspecialcases;forexample,theknownclassesofnonexpansivemappings,asymptoticallynonexpansivemappingsandasymptoticallynonexpansivetypemappings.TheconvergenceproblemofmodifiedIshikawaiterativesequenceswitherrorsforapproximatingfixedpointsofalmostasymptoticallynonexpansivetypemappingsisconsidered.NotonlyS.S.Chang'sinequalitybutalsoH.K.Xu'soneforthenormsofBanachspacesareappliedtomaketheerrorestimatebetweentheexactfixedpointandtheapproximateone.Moreover,ZhangShi-sheng'smethod(AppliedMathematicsandMechanics(EnglishEdition),2001,22(1):25-34)formakingtheconvergenceanalysisofmodifiedIshikawaiterativesequenceswitherrorsisextendedtothecaseofalmostasymptoticallynonexpansivetypemappings.ThenewconvergencecriteriaofmodifiedIshikawaiterativesequenceswitherrorsforfindingfixedpointsofalmostasymptoticallynonexpansivetypemappingsinuniformlyconvexBanachspacesarepresented.Also,thenewconvergencecriteriaofmodifiedManniterativesequenceswitherrorsforthisclassofmappingsareimmediatelyobtainedfromthesecriteria.Theaboveresultsunify,improveandgeneralizeZhangShi-sheng'sonesonapproximatingfixedpointsofasymptoticallynonexpansivetypemappingsbythemodifiedIshikawaandManniterativesequenceswitherrors.
简介:无陀螺惯性导航系统是一种主要以加速度计为惯性元件构造的惯性导航系统。本文设计研制了一种基于9加速度计的无陀螺惯性导航系统原理样机,提出了无陀螺惯性导航系统与GPS扩展松组合导航的模型,设计了组合导航的卡尔曼滤波算法,进行了组合导航实验。无陀螺惯性导航系统独立工作模式下3min的纬度误差最大为0.1",经度误差最大为0.6";在GPS不能定位时,3min的松组合导航纬度误差最大为0.08",经度误差最大为0.02"。与GPS扩展组合导航模式下,3min的纬度误差最大为0.01",经度误差最大为0.01"。实验结果表明,与GPS进行扩展松组合导航能够有效提高无陀螺惯性导航系统的长期定位精度,增强GPS导航设备的抗干扰性能。
简介:Anewbilevelgeneralizedmixedequilibriumproblem(BGMEP)involvinggeneralizedmixedvariational-likeinequalityproblems(GMVLIPs)isintroducedandstudiedinthereflexiveBanachspaces.First,anauxiliarygeneralizedmixedequilibriumproblem(AGMEP)isintroducedtocomputetheapproximatesolutionsoftheBGMEPinvolvingtheGMVLIPs.Byusingaminimaxinequality,theexistenceandtheuniquenessofsolutionsoftheAGMEPareprovedundermildconditionswithoutanycoerciveassumptions.Byusinganauxiliaryprincipletechnique,thenewiterativealgorithmsareproposedandanalyzed,withwhichtheapproximatesolutionsoftheBGMEParecomputed.Thestrongconvergenceoftheiterativesequencegeneratedbythealgorithmsisshownundermildconditionswithoutanycoerciveassumptions.Thesenewresultscangeneralizesomerecentresultsinthisfield.
简介:TNNS(真航向导航系统)由MS860接收机、INS及处理数据的PC/104架构的嵌入式工控机构成.针对TNNS推导了INS(惯性导航系统)的误差模型,提出了适合于TNNS的降阶扩展卡尔曼滤波算法组合GPS和INS。系统在东海作了三次海试,软件及滤波算法平台由C/C++编制.海上试验表明,组合滤波后,INS的位置误差由i00m降低到40m以下;进行最优化滤波后的航向误差α由原来的0.105°减小为0.034°,纵横摇的误差也大幅减小.整个海试结果表明,在TNNS中组合GPS/INS采用的降阶扩展卡尔曼滤波算法,大幅提高了系统精度和可靠性.