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个人简介

个人简历 2014.3至今特聘教授 2006.4——2014.2历任助教、讲师、副教授 2010.8——2013.10在香港理工大学应用数学系攻读博士学位,获博士学位 2003.9——2006.4在天津工业大学数学系攻读硕士学位,获理学硕士学位 科研成果与奖励 1.2008.12,非线性算子迭代逼近研究,天津市自然科学三等奖 2.2010.4,河南省第十届自然科学优秀论文一等奖 3.2013.12,河南省第二届自然科学学术奖--自然科学优秀论文一等奖 4.2013.12,河南省第二届自然科学学术奖--自然科学优秀论文二等奖 5.2011.9,河南省首届届自然科学学术奖--自然科学优秀论文二等奖 6.2010.4,河南省第十届自然科学优秀论文二等奖 科研项目 1.2016.1——2019.12,结构张量的特征值分析与互补问题研究,国家自然科学基金面上项目,11571095,主持 2.2012.1——2015.12,比式与分式规划问题稳健解方法研究,国家自然科学基金面上项目,11171074,参与 3.2010.1——2013.12,迭代算法收敛性理论研究及其在图像恢复中的应用,国家自然科学基金面上项目,11071279,参与 4.2012.2——2014.12,Halpern型迭代算法研究,河南省基础与前沿技术研究计划项目,122300410414,参与 5.2013.2——2014.12,非线性算子不动点的近似逼近,河南省基础与前沿技术研究计划项目,132300410432,参与 6.2010.2——2012.12,正算子及空间几何常数及其应用,河南省基础与前沿技术研究计划项目,102300410012,参与

研究领域

1.非线性泛函分析:不动点理论与计算方法,特征值问题,变分不等式 2.多线性代数:高阶张量谱理论,结构张量 3.数学规划:张量互补问题,非线性规划

近期论文

查看导师新发文章 (温馨提示:请注意重名现象,建议点开原文通过作者单位确认)

部分论文: 2016 1.YishengSong,GaohangYu,PropertiesofSolutionsetofTensorComplementarityProblem,JournalofOptimizationTheoryandApplicationsJuly2016,Volume170,Issue1,pp85–96DOI:10.1007/s10957-016-0907-0arXiv:1508.00069,2015 2.YishengSong,KhanitthaPromluang,PoomKumam,YeolJeCho,SomeconvergencetheoremsoftheManniterationformonotone$alpha$-nonexpansivemappings,AppliedMathematicsandComputationVolumes287–288,5September2016,Pages74–82DOI:10.1016/j.amc.2016.04.011 3.YishengSong,LiqunQi,Eigenvalueanalysisofconstrainedminimizationproblemforhomogeneouspolynomial,JournalofGlobalOptimizationMarch2016,Volume64,Issue3,pp563-575arXiv:1302.6085v22013 4.YishengSong,LiqunQi,TensorComplementarityProblemandSemi-positiveTensors,JournalofOptimizationTheoryandApplicationsJune2016,Volume169,Issue3,pp1069-1078DOI:10.1007/s10957-015-0800-2arXiv:1502.02209v12015 2015 1.YishengSong,LiqunQi,Necessaryandsufficientconditionsofcopositivetensors,LinearandMultilinearAlgebra.2015,Vol.63,No.1,120–131,ArXiv:1302.6084 2.YishengSong,LiqunQi,PropertiesofSomeClassesofStructuredTensors,JournalofOptimizationTheoryandApplications,June2015,Volume165,Issue3,pp854-873.arXiv:1403.1118 2014 1.YishengSong,LiqunQi,Positiveeigenvalue-eigenvectorofnonlinearpositivemappings,FrontiersofMathematicsinChina2014,9(1):181–199. 2.YishengSong,ChanganTian,Anexplicititerationforzerosofaccretiveoperators,AppliedMathematicsandComputation,Volume233,1May2014,Pages369–376. 3.YishengSong,LiqunQi,InfiniteandfinitedimensionalHilberttensors,LinearAlgebraanditsApplicationsVolume451,15June2014,Pages1–14.arXiv:1402.4966 4.YishengSong,HongjunWang,StrongconvergenceforthemodifiedMann'siterationof$\lambda$-strictpseudocontraction,AppliedMathematicsandComputationVolume237,15June2014,Pages405–410. 5.Liqun.QiandYishengSong,AnevenordersymmetricBtensorispositivedefinite,LinearAlgebraandItsApplicationsVolume457,15September2014,Pages303–312.Arxiv:1404.0452 6.YishengSong,YingHuang,Fixedpointpropertyandapproximationofaclassofnonexpansivemappings,FixedPointTheoryandApplications2014,2014:81DOI:10.1186/1687-1812-2014-81 7.HongjunWang,YishengSong,AniterationmethodforzerosofaccretiveoperatorsinBanachspaces,JournalofNonlinearandConvexAnalysisVolume15,Number5,August2014,pp.967-978. 2013 1.YishengSong,LiqunQi,Spectralpropertiesofpositivelyhomogeneousoperatorsinducedbyhigherordertensors,SIAMJournalonMatrixAnalysisandApplications,2013,Vol.34,No.4:pp.1581-1595. 2.Chang'AnTian,YishengSong,StrongconvergenceofARegularizationMethodforRockafellar'sProximalPointAlgorithm,JournalofGlobalOptimizationApril2013,Volume55,Issue4,pp831-837. 3.ShenglongHu,GuoyinLi,LiqunQi,YishengSong,FindingtheMaximumEigenvalueofEssentiallyNonnegativeSymmetricTensorsviaSumofSquaresProgramming,JournalofOptimizationTheoryandApplications,September2013,Volume158,Issue3,pp717-738. 2012 1.YishengSong,LiqunQi,Theexistenceanduniquenessofeigenvalueformonotonehomogeneousmappingpairs,NonlinearAnalysisSeriesA:Theory,Methods&Applications,Volume75,Issue13,(September2012)Pages5283-5293. 2.QingnianZhang,YishengSong,Halperntypeproximalpointalgorithmofaccretiveoperators,NonlinearAnalysis:Theory,Methods&ApplicationsVolume75,Issue4,March2012,Pages1859-1868. 3.YishengSong,QingnianZhang,Proximalalgorithmsforaclassofmixedequilibriumproblems,FixedPointTheoryandApplications,2012,2012:166(2October2012). 2011 1.XinkuanChai,YishengSong,Newiterationalgorithmsforanasymptoticallynonexpansivemapping,JournalofAppliedMathematicsandComputing,Volume35,Numbers1-2,2011,351-361. 2.HongjunWang,YishengSong,Aniterationschemesfornonexpansivemappingsandvariationalinequalities,BulletinoftheKoreanMathematicalSociety,48(2011),No.5,pp.991-1002. 3.QingnianZhang,YishengSong,HalperniterationofCesàromeansforasymptoticallynonexpansivemappings,ScienceAsia37(2)(2011):145–151. 4.YishengSongandYeolJeCho,SomeNotesonIshikawaIterationforMulti-valuedMappings,BulletinoftheKoreanMathematicalSociety48(2011),No.3,pp.575-584. 5.YishengSong,QingchunLi,SuccessiveApproximationsForQuasi-FirmlyTypeNonexpansiveMappings,MathematicalCommunications,16(2011),251-264. 6.YishengSong,Iterativesolutionsforzerosofmultivaluedaccretiveoperators,MathematischeNachrichten(Math.Nachr.)Vol.284,Issue2-3/2011,page370-380. 7.XinkuanChai,YishengSong,Convergencetheoremforaniterativealgorithmofstrictpseudocontraction,FixedPointTheoryandApplications,2011,2011:95(6December2011) 2010 1.YishengSong,JungImKang,andYeolJeCho,OniterationsmethodsforzerosofaccretiveoperatorsinBanachspaces,AppliedMathematicsandComputation,216(2010)1007-1017. 2.YishengSong,XiaoLiu,Iterativealgorithmsforacountablefamilyofnonexpansivemappings,JournalofConcreteandApplicableMathematicsVOL.8,NO.4,2010,645-655. 3.YishengSong,ManniterationofCes\`{a}romeansforasymptoticallynon-expansivemappings,NonlinearAnalysis:Theory,MethodsandApplications,Volume72,Issue1,1January2010,Pages176-182. 2009 1.YishengSong,ChangAnTian,ModifiedHalperniterationofasymptoticallynon-expansivemappings,BulletinoftheIranianMathematicalSociety,2009,Volume35,Issue2,229--254. 2.YishengSong,StrongconvergenceofviscosityapproximationmethodswithstrongpseudocontractionforLipschitzpseudocontractivemappings,PositivityVolume13,Number4,2009,643-655. 3.YishengSong,HaiyingLi,StrongConvergenceofIterativeSequencesforNonexpansiveMappings,AppliedMathematicsLetters,22(2009)1500--1507. 4.YishengSong,XinkuanChai,Halperniterationforfirmlytypenonexpansivemappings,NonlinearAnalysis:Theory,MethodsandApplicationsVolume71,Issue10,15November2009,Pages4500-4506. 5.YishengSongandYeolJeCho,IterativeapproximationsformultivaluednonexpansivemappingsinreflexiveBanachspaces,Math.Inequal.Appl.Volume12,Number3(2009),611–624. 6.YishengSongandChangsenYang,Solvingvariationalinequalitywithweakcontractionusingviscosityapproximationmethods,ActaMathematicaScientia(SeriesA),2009,29A(3):656–668. 7.YishengSong,XiaoLiu,Convergencecomparisonofseveraliterationalgorithmsforthecommonfixedpointproblems,FixedPointTheoryandApplications,Volume2009(2009),ArticleID824374,13pages. 8.YishengSong,IterativeconvergencetoCesaromeansforcontinuouspseudocontractivemappings,NonlinearAnalysis:Theory,MethodsandApplicationsVolume71,Issues7-8,1October2009-15October2009,Pages2792-2800. 9.YishengSongandYuchunZheng,Strongconvergenceofiterationalgorithmsforacountablefamilyofnonexpansivemappings,NonlinearAnalysis:Theory,MethodsandApplicationsVolume71,Issues7-8,1October2009-15October2009,Pages3072-3082. 10.YishengSong,Approximatingcurvesfornonexpansivemappingsandaccretiveoperators,ApplicableAnalysisVolume88,Issue2February2009,pages215-229. 11.QingnianZhangandYishengSong,Iterativeconstructionforcommonfixedpointsoffinitelymanynonexpansivemappings,NonlinearAnalysis:Theory,MethodsandApplicationsVolume71,Issues5-6,1September2009-15September2009,Pages1850-1856. 12.YishengSong,Equivalenttheoremsoftheconvergencebetweenproximal-typealgorithms,NonlinearAnalysis:Theory,MethodsandApplications,Volume71,Issues1-2,1July2009-15July2009,Pages293-300. 13.YishengSongandYeolJeCho,Averagediteratesfornon-expansivenonself-mappingsinBanachspaces,JournalofComputationalAnalysisandApplications,11(3)(2009),451–460. 14.YishengSong,Aniterativeprocessforafinitefamilyofpseudocontractivemappings,ActaMathematicaSinica,EnglishSeries,25(2)(2009),293–298. 15.YeolJeChoandYishengSong,ViscosityapproximationforSolutionsofFixedPointsandVariationalSolutionsforPseudocontractionsinBanachSpaces,DynamicsofContinuous,DiscreteandImpulsiveSystems,SeriesA:MathematicalAnalysis16(2009)273-285. 16.YishengSong,Newiterativealgorithmsforzerosofaccretiveoperators,JournaloftheKoreanMathematicalSociety,46(2009),No.1,pp.83-97. 17.YishengSongandHongliangZuo,Strongconvergencetheoremsforfinitelymanynon-expansivemappings,NonlinearAnalysis:Theory,MethodsandApplicationsVolume70,Issue4,15February2009,Pages1797-1802. 18.YishengSongandHongjunWang,ConvergenceofiterativealgorithmsformultivaluedmappingsinBanachspaces,NonlinearAnalysis:Theory,MethodsandApplicationsVolume70,Issue4,15February2009,Pages1547-1556. 19.YishengSongandChangsenYang,AnoteonaPaper"ARegularizationMethodfortheProximalPointAlgorithm",JournalofGlobalOptimization.Volume43,Number1,January2009,171-174. 20.QingnianZhangandYishengSong,Fixedpointtheoryforgeneralized$\varphi-$weakcontractions,AppliedMathematicsLetters,Volume22,Issue1,January2009,Pages75-78. 2008 1.YishengSong,Coincidencepointsofweaklycompatiblemappings,BulletinoftheKoreanMathematicalSociety45(2008),No.4,pp.607–614. 2.YishengSong,Strongconvergenceofaveragediterationforasymptoticallynon-expansivemappings,AppliedMathematicsandComputation,204(2008)854–861. 3.YishengSongandRudongChen,WeakandstrongconvergenceofMann's-typeiterationsforacountablefamilyofnonexpansivemappings,JournaloftheKoreanMathematicalSociety45(2008),No.5,pp.1393--1404. 4.YishengSong,NewStrongConvergenceTheoremsforNonexpansiveNonself-MappingswithoutBoundaryConditions,ComputersandMathematicswithApplications.56(2008),1473-1478. 5.YishengSongandRudongChen,Strongconvergenceofaniterativemethodfornon-expansivemappings,MathematischeNachrichten(Math.Nachr.)281,No.8,1196--1204(2008) 6.YishengSongandHongjunWang,Erratumto"MannandIshikawaiterativeprocessesformultivaluedmappingsinBanachspaces[ComputersandMathematicswithApplications,54(2007)872-877]",ComputersandMathematicswithApplications.Volume55,Issue12,June2008,Pages2999-3002. 7.YuMiaoandYishengSong,Weakandstrongconvergenceofanewschemefortwononexpansivemappings,ApplicableAnalysis,Vol.87,No.5,May2008,567--574. 8.YishengSongandXinkuanChai,StrongconvergencetheoremsofviscosityapproximationmethodsforgeneralizedLipschitzpseudocontractiivemappings,ActaMathematicaSinica,ChineseSeries2008,No.51(3),501-508. 9.YishengSong,AnewsufficientconditionforthestrongconvergenceofHalperntypeiterations,AppliedMathematicsandComputationVolume198,Issue2,1May2008,Pages721-728. 10.YishengSong,AnoteonaPaper"AnewiterationprocessforgeneralizedLipschitzpseudo-contractiveandgeneralizedLipschitzaccretivemappings",NonlinearAnalysis:Theory,MethodsandApplicationsVol68/10,2008,pp3047-3049. 11.YishengSongandSumeiXu,StrongconvergencetheoremsfornonexpansivesemigroupinBanachspaces,JournalofMathematicalAnalysisandApplication,2008,Vol338/1pp.152-161. 2007 1.YishengSong,Iterativeapproximationtocommonfixedpointsofacountablefamilyofnonexpansivemappings,ApplicableAnalysisVol.86,No.11,November2007,1329-1337. 2.YishengSong,IterativeselectionmethodsforthecommonfixedpointproblemsinaBanachspace,AppliedMathematicsandComputation,Vol193/1,2007,pp7-17. 3.YishengSong,CoincidencePointsforNoncommutingf-WeaklyContractiveMappings,InternationalJournalofComputationalandAppliedMathematics(IJCAM),Volume2Number1(2007),pp.51-57. 4.YishengSong,OnaManntypeimplicititerationprocessforcontinuouspseudo-contractivemappings,NonlinearAnalysis:Theory,MethodsandApplications,67(2007)3058-3063. 5.YishengSongandSumeiXu,ANoteonCommonFixed-PointsforBanachOperatorPairs,InternationalJournalofContemporaryMathematicalSciencesVol.2,2007,no.24,1163-1166. 6.YishengSong,Commonfixedpointsandinvariantapproximationsforgeneralized(f,g)-nonexpansivemappings,CommunicationsinMathematicalAnalysis2(2007),No.2,17-26. 7.YishengSong,Strongconvergenceofaniterativemethodsforcontinuouspseudocontractivemapping,JPJournalofFixedPointTheoryandApplications2(1)(2007)1-9. 8.YishengSongandRudongChen,Convergencetheoremsofiterativealgorithmsforcontinuouspseudocontractivemappings,NonlinearAnalysis:Theory,MethodsandApplications,Volume67,Issue2,15July2007,Pages486-497. 9.YishengSongandRudongChen,ViscosityapproximativemethodstoCesaromeansfornon-expansivemappings,AppliedMathematicsandComputation186(2007)1120-1128. 10.ShengjuYangandYishengSong,IterativeApproximationtoCommonFixedPointsofTwoNonexpansiveMappingsinBanachSpaces,AppliedMathematicalSciences,Vol.1,2007,no.3,97-108. 11.YishengSongandRudongChen,IterativeapproximationtocommonfixedpointsofnonexpansivemappingsequencesinreflexiveBanachspaces,NonlinearAnalysis:Theory,MethodsandApplications,66(2007)591-603. 12.YishengSong,RudongChenandHaiyunZhou,ViscosityapproximationmethodsfornonexpansivemappingsequencesinBanachspaces,NonlinearAnalysis:Theory,MethodsandApplications,66(2007)1016-1024. 13.YishengSongandQingchunLi,Viscosityapproximationfornonexpansivenonself-mappingsinreflexiveBanachspaces,J.ofSystemsScienceandMathematicalScience27(4)(2007,8),481-487. 14.YanrongYuandYishengSong,IterativeapproximationoffixedpointsforasymptoticallynonexpansivemappingsinuniformlyconvexBanachspaces,MathematicsinPracticeandTheory,Vol.37,2007,No.19,144-149. 2006 1.YishengSongandRudongChen,Viscosityapproximationmethodsfornonexpansivenonself-mappings,J.Math.Anal.Appl.,321(2006)316-326. 2.YishengSongandRudongChen,Strongconvergencetheoremsonaniterativemethodforafamilyoffinitenonexpansivemappings,AppliedMathematicsandComputation,180(2006)275-287. 3.YishengSongandRudongChen,Anapproximationmethodforcontinuouspseudocontractivemappings,J.ofInequal.andAppl.volume2006,ArticleID28950,1-9. 4.RudongChen,YishengSongandHaiyunZhou,ConvergenceTheoremsforImplicitIterationProcessforaFiniteFamilyofContinuousPseudocontractiveMappings,J.Math.Anal.Appl.314(2006),701-709. 5.YanrongYu,YishengSongandRudongChen,AnimplicititerationprocessforafinitefamilyofstrictlypseudocontractivemappingsofBrowder-Petryshyntype,JPJournalofFixedPointTheoryandApplications,1(2006),27-41. 6.RudongChenandYishengSong,VISCOSITYAPPROXIMATIONMETHODSFORSTRICTLYPSEUDOCONTRACTIVEMAPPINGSOFBROWDER-PETRYSHYNTYPE,J.Sys.Sci.&Math.Scis.26(6)(2006,12),651-657. 7.RuDongCHEN,YiShengSONGandHaiyunZhou,ViscosityApproximationMethodsforContinuousPseudocontractiveMappings,ACTAMATHEMATICASINICA,ChineseSeries,Vol.49,No.6,2006,1275-1278. 8.RudongChen,PeikeeLinandYishengSong,Anapproximationmethodforstrictlypseudocontractivemappings,NonlinearAnalysis:Theory,MethodsandApplications,64(2006),2527-2535.

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