Applications of Fixed Point and Approximate Algorithms PDF
Preview Applications of Fixed Point and Approximate Algorithms
Journal of Applied Mathematics Applications of Fixed Point and Approximate Algorithms Guest Editors: Yonghong Yao, Rudong Chen, Giuseppe Marino, and Yeong-Cheng Liou Applications of Fixed Point and Approximate Algorithms Journal of Applied Mathematics Applications of Fixed Point and Approximate Algorithms Guest Editors: Yonghong Yao, Rudong Chen, Giuseppe Marino, and Yeong-Cheng Liou Copyrightq 2012HindawiPublishingCorporation.Allrightsreserved. Thisisaspecialissuepublishedin“JournalofAppliedMathematics.”Allarticlesareopenaccessarticlesdistributedunder theCreativeCommonsAttributionLicense,whichpermitsunrestricteduse,distribution,andreproductioninanymedium, providedtheoriginalworkisproperlycited. Editorial Board SaeidAbbasbandy,Iran VitDolejsi,CzechRepublic VadimA.Krysko,Russia MinaB.Abd-El-Malek,Egypt MagdyA.Ezzat,Egypt JinL.Kuang,Singapore MohamedA.Abdou,Egypt MengFan,China MiroslawLachowicz,Poland SubhasAbel,India YaPingFang,China Hak-KeungLam,UK MostafaAdimy,France AntonioJ.M.Ferreira,Portugal Tak-WahLam,HongKong CarlosJ.S.Alves,Portugal MichelFliess,France P.G.L.Leach,UK MohamadAlwash,USA M.A.Fontelos,Spain Wan-TongLi,China IgorAndrianov,Germany LucaFormaggia,Italy YongkunLi,China SabriArik,Turkey HuijunGao,China JinLiang,China FrancisT.K.Au,HongKong B.Geurts,TheNetherlands Ching-JongLiao,Taiwan OlivierBahn,Canada JamshidGhaboussi,USA ChongLin,China RobertoBarrio,Spain PabloGonza´lez-Vera,Spain LeevanLing,HongKong AlfredoBellen,Italy LaurentGosse,Italy M.Z.Liu,China J.Biazar,Iran K.S.Govinder,SouthAfrica ZhijunLiu,China HesterBijl,TheNetherlands JoseL.Gracia,Spain ShutianLiu,China JamesRobertBuchanan,USA YuantongGu,Australia KangLiu,USA AlbertoCabada,Spain ZhihongGuan,China YanshengLiu,China XiaoChuanCai,USA NicolaGuglielmi,Italy FawangLiu,Australia JindeCao,China FredericoG.Guimara˜es,Brazil Chein-ShanLiu,Taiwan AlexandreCarvalho,Brazil VijayGupta,India Julia´nLo´pez-Go´mez,Spain SongCen,China BoHan,China ShipingLu,China QianshunS.Chang,China MaoanHan,Slovenia GertLube,Germany Shih-senChang,China PierreHansen,Canada NazimIdrisogluMahmudov,Turkey Tai-PingChang,Taiwan FerencHartung,Hungary OluwoleDanielMakinde,SouthAfrica KeChen,UK TasawarHayat,Pakistan FranciscoJ.Marcella´n,Spain XinfuChen,USA XiaoqiaoHe,HongKong GuiomarMart´ın-Herr´ın,Spain RushanChen,China LuisJavierHerrera,Spain NicolaMastronardi,Italy EricCheng,HongKong NingHu,Japan MichaelMcAleer,TheNetherlands FranciscoChiclana,UK YingHu,France StephaneMetens,France Jen-TzungChien,Taiwan ZhilongL.Huang,China MichaelMeylan,Australia Cheng-ShengChien,Taiwan KazufumiIto,USA AlainMiranville,France HanH.Choi,RepublicofKorea TakeshiIwamoto,Japan JaimeE.MunozRivera,Brazil Tin-TaiChow,China GeorgeJaiani,Georgia JavierMurillo,Spain M.S.H.Chowdhury,Malaysia ZhongxiaoJia,China RobertoNatalini,Italy C.Conca,Chile TarunKant,India SrinivasanNatesan,India VitorCosta,Portugal IdoKanter,Israel JiriNedoma,CzechRepublic LivijaCveticanin,Serbia A.HamidKara,SouthAfrica JianleiNiu,HongKong AndreaDeGaetano,Italy HamidRezaKarimi,Norway RogerOhayon,France PatrickDeLeenheer,USA Jae-WookKim,UK JavierOliver,Spain EricdeSturler,USA J.H.Kim,RepublicofKorea DonalO’Regan,Ireland OrazioDescalzi,Chile KazutakeKomori,Japan MartinOstoja-Starzewski,USA KaiDiethelm,Germany FanrongKong,USA TurgutO¨zis¸,Turkey ClaudioPadra,Argentina MehmetSezer,Turkey EzioVenturino,Italy R.M.Palhares,Brazil NaseerShahzad,SaudiArabia JesusVigo-Aguiar,Spain FrancescoPellicano,Italy FatemehShakeri,Iran MichaelN.Vrahatis,Greece JuanManuelPen˜a,Spain Hui-ShenShen,China MingxinWang,China RicardoPerera,Spain JianHuaShen,China BaolinWang,China MalgorzataPeszynska,USA FernandoSimo˜es,Portugal JunjieWei,China JamesF.Peters,Canada TheodoreE.Simos,Greece LiWeili,China MarkA.Petersen,SouthAfrica A.A.Soliman,Egypt MartinWeiser,Germany MiodragPetkovic,Serbia QiankunSong,China FrankWerner,Germany VuNgocPhat,VASTVietnam XinyuSong,China ShanheWu,China AndrewPickering,Spain YuriN.Sotskov,Belarus DongmeiXiao,China HectorPomares,Spain P.J.C.Spreij,TheNetherlands YueshengXu,USA MaurizioPorfiri,USA NiclasStro¨mberg,Sweden Suh-YuhYang,Taiwan MarioPrimicerio,Italy RayKLSu,HongKong JinyunYuan,Brazil MortezaRafei,TheNetherlands JitaoSun,China AlejandroZarzo,Spain B.V.RathishKumar,India WenyuSun,China GuishengZhai,Japan RobertoReno`,Italy XianHuaTang,China JianmingZhan,China JacekRokicki,Poland MarcoH.Terra,Brazil ZhihuaZhang,China DirkRoose,Belgium AlexanderTimokha,Norway JingxinZhang,Australia CarlaRoque,Portugal MarianoTorrisi,Italy ChongbinZhao,Australia DebasishRoy,India Jung-FaTsai,Taiwan ShanZhao,USA SamirH.Saker,Egypt ChTsitouras,Greece RenatZhdanov,USA MarceloA.Savi,Brazil KuppalapalleVajravelu,USA HongpingZhu,China WolfgangSchmidt,Germany AlvaroValencia,Chile XingfuZou,Canada EckartSchnack,Germany ErikVanVleck,USA J.Hoenderkamp,TheNetherlands Contents ApplicationsofFixedPointandApproximateAlgorithms,YonghongYao,RudongChen, GiuseppeMarino,andYeong-ChengLiou Volume2012,ArticleID175459,2pages AModifiedRegularizationMethodfortheProximalPointAlgorithm,ShuangWang Volume2012,ArticleID567948,14pages TheGlobalExistenceofNonlinearEvolutionaryEquationwithSmallDelay,XunwuYin Volume2012,ArticleID257140,10pages Existenceof2m−1PositiveSolutionsforSturm-LiouvilleBoundaryValueProblemswith LinearFunctionalBoundaryConditionsontheHalf-Line,YanmeiSunandZengqinZhao Volume2012,ArticleID653675,17pages Fixed-PointIterativeAlgorithmfortheLinearFredholm-VolterraIntegro-Differential Equation,M.I.Berenguer,D.Ga´mez,andA.J.Lo´pezLinares Volume2012,ArticleID370894,11pages ApproximationofCommonFixedPointsofaSequenceofNearlyNonexpansiveMappings andSolutionsofVariationalInequalityProblems,D.R.Sahu,ShinMinKang,andVidyaSagar Volume2012,ArticleID902437,12pages StrongConvergenceofHybridAlgorithmforAsymptoticallyNonexpansiveMappingsin HilbertSpaces,JuguoSu,YuchaoTang,andLiweiLiu Volume2012,ArticleID170540,11pages ExistenceandStrongConvergenceTheoremsforGeneralizedMixedEquilibriumProblemsof aFiniteFamilyofAsymptoticallyNonexpansiveMappingsinBanachSpaces, RabianWangkeeree,HosseinDehghan,andPakkaponPreechasilp Volume2012,ArticleID859492,21pages SystemofNonlinearSet-ValuedVariationalInclusionsInvolvingaFiniteFamilyof H(cid:3)·,·(cid:4)-AccretiveOperatorsinBanachSpaces,PrapairatJunlouchaiandSomyotPlubtieng Volume2012,ArticleID560248,15pages HybridAlgorithmsofNonexpansiveSemigroupsforVariationalInequalities,PeixiaYang, YonghongYao,Yeong-ChengLiou,andRudongChen Volume2012,ArticleID634927,15pages AModifiedHalpern-TypeIterativeMethodofaSystemofEquilibriumProblemsandaFixed PointforaTotallyQuasi-φ-AsymptoticallyNonexpansiveMappinginaBanachSpace, reedapornKanjanasamranwong,PoomKumam,andSiwapornSaewan Volume2012,ArticleID750732,19pages SomeFixedPointTheoremsforNonlinearSet-ValuedContractiveMappings,ZeqingLiu, ZhihuaWu,ShinMinKang,andSunhongLee Volume2012,ArticleID786061,13pages ConvergenceTheoremsforMaximalMonotoneOperators,WeakRelativelyNonexpansive MappingsandEquilibriumProblems,KamonratNammanee,SuthepSuantai, andPrasitCholamjiak Volume2012,ArticleID804538,16pages AnIterationtoaCommonPointofSolutionofVariationalInequalityandFixed Point-ProblemsinBanachSpaces,H.ZegeyeandN.Shahzad Volume2012,ArticleID504503,19pages ExplicitIterativeMethodforVariationalInequalitiesonHadamardManifolds, MuhammadAslamNoorandKhalidaInayatNoor Volume2012,ArticleID691806,8pages ExistenceResultsofNondenselyDefinedFractionalEvolutionDifferentialInclusions, ZufengZhangandBinLiu Volume2012,ArticleID316850,19pages ImplicitMannTypeIterationMethodInvolvingStrictlyHemicontractiveMappingsinBanach Spaces,ArifRafiqandShinMinKang Volume2012,ArticleID294718,11pages CharacterizationoftheEquilibriumStrategyofFuzzyBimatrixGamesBasedonL-RFuzzy Variables,Cun-linLi Volume2012,ArticleID824790,15pages AViscosityApproximationSchemeforFindingCommonSolutionsofMixedEquilibrium Problems,aFiniteFamilyofVariationalInclusions,andFixedPointProblemsinHilbert Spaces,Bin-ChaoDeng,TongChen,andBaoguiXin Volume2012,ArticleID152023,18pages StrongConvergenceofViscosityApproximationMethodsforNonexpansiveMappingsin CAT(cid:3)0(cid:4)Spaces,LuoYiShiandRuDongChen Volume2012,ArticleID421050,11pages SomeIterativeMethodsforSolvingNonconvexBifunctionEquilibriumVariational Inequalities,MuhammadAslamNoor,KhalidaInayatNoor,andSairaZainab Volume2012,ArticleID280451,10pages WeakConvergenceTheoremsforStrictlyPseudocontractiveMappingsandGeneralizedMixed EquilibriumProblems,JongSooJung Volume2012,ArticleID384108,18pages PositiveSolutionsforNonlinearDifferentialEquationswithPeriodicBoundaryCondition, ShengjunLi,LiLiang,andZonghuXiu Volume2012,ArticleID528719,13pages TheEquivalenceofConvergenceResultsbetweenIshikawaandMannIterationswithErrors forUniformlyContinuousGeneralizedΦ-PseudocontractiveMappingsinNormedLinear Spaces,GuiwenLvandZhiqunXue Volume2012,ArticleID395098,11pages NoncompactEquilibriumPointsandApplications,ZahraAl-Rumaih,SouhailChebbi, andHongKunXu Volume2012,ArticleID373462,9pages Contents ProximalPointMethodsforSolvingMixedVariationalInequalitiesontheHadamard Manifolds,MuhammadAslamNoorandKhalidaInayatNoor Volume2012,ArticleID657278,8pages ImplicitMethodsforEquilibriumProblemsonHadamardManifolds, MuhammadAslamNoor,SairaZainab,andYonghongYao Volume2012,ArticleID437391,9pages APerturbedProjectionAlgorithmwithInertialTechniqueforSplitFeasibilityProblem, YazhengDang,YanGao,andYanliHan Volume2012,ArticleID207323,10pages ExistenceandStabilityofIterativeAlgorithmforaSystemofRandomSet-ValuedVariational InclusionProblemsInvolving(cid:3)A,m,η(cid:4)-GeneralizedMonotoneOperators, JittipornSuwannawitandNarinPetrot Volume2012,ArticleID590676,21pages TheResearchoftheFractalNaturebetweenCostsandEfficacyintheBrainVascularDisease, ShuoSunandXiaocuiXing Volume2012,ArticleID171406,12pages CommonFixedPointResultsUsingGeneralizedAlteringDistancesonOrbitallyComplete OrderedMetricSpaces,HemantKumarNashine,ZoranKadelburg,andZoranaGolubovic Volume2012,ArticleID382094,12pages TheSystemofMixedEquilibriumProblemsforQuasi-NonexpansiveMappingsinHilbert Spaces,RabianWangkeereeandPanatdaBoonman Volume2012,ArticleID282094,17pages Erlang’sFixed-PointApproximationforPerformanceAnalysisofHetNets,GuozhiSong, JigangWu,JohnSchormans,andLaurieCuthbert Volume2012,ArticleID862809,13pages AMinimumProblemforFiniteSetsofRealNumberswithNonnegativeSum,G.Chiaselotti, G.Marino,andC.Nardi Volume2012,ArticleID847958,15pages OnGeneralizedBazilevicFunctionsRelatedwithConicRegions,KhalidaInayatNoorand KamranYousaf Volume2012,ArticleID982321,10pages ExistenceResultsforGeneralMixedQuasivariationalInequalities, MuhammadAslamNoorandKhalidaInayatNoor Volume2012,ArticleID701858,8pages TripledFixedPointResultsinGeneralizedMetricSpaces,HassenAydi,ErdalKarapınar, andWasfiShatanawi Volume2012,ArticleID314279,10pages OnUnificationoftheStrongConvergenceTheoremsforaFiniteFamilyofTotal AsymptoticallyNonexpansiveMappingsinBanachSpaces,FarrukhMukhamedovand MansoorSaburov Volume2012,ArticleID281383,21pages ANonlocalCauchyProblemforFractionalIntegrodifferentialEquations,FangLi,JinLiang, Tzon-TzerLu,andHuanZhu Volume2012,ArticleID901942,18pages ViscosityApproximationMethodforSystemofVariationalInclusionsProblemsand Fixed-PointProblemsofaCountableFamilyofNonexpansiveMappings, ChaichanaJaiboonandPoomKumam Volume2012,ArticleID816529,26pages OnApproximateCoincidencePointPropertiesandTheirApplicationstoFixedPointTheory, Wei-ShihDu Volume2012,ArticleID302830,17pages AnAlternativeRegularizationMethodforEquilibriumProblemsandFixedPointof NonexpansiveMappings,ShuoSun Volume2012,ArticleID202860,16pages Solutionsforp-LaplacianDynamicDelayDifferentialEquationsonTimeScales,HuaSu, LishanLiu,andXinjunWang Volume2012,ArticleID652465,23pages TwoGeneralAlgorithmsforComputingFixedPointsofNonexpansiveMappingsinBanach Spaces,ShuangWang Volume2012,ArticleID658905,11pages AProblemConcerningYamabe-TypeOperatorsofNegativeAdmissibleMetrics,JinLiangand HuanZhu Volume2012,ArticleID930868,11pages OnNonlinearNeutralFractionalIntegrodifferentialInclusionswithInfiniteDelay,FangLi, Ti-JunXiao,andHong-KunXu Volume2012,ArticleID916543,19pages GeneralIterativeMethodsforEquilibriumProblemsandInfinitelyManyStrict PseudocontractionsinHilbertSpaces,PeichaoDuanandAihongWang Volume2012,ArticleID602513,17pages ParametricExtendedGeneralMixedVariationalInequalities,MuhammadAslamNoor Volume2012,ArticleID201947,11pages ANoteonImplicitandExplicitMannIterativeProcessesforAsymptoticallyφ-Strongly PseudocontractiveMappings,LuigiMugliaandYonghongYao Volume2012,ArticleID912050,14pages StrongConvergenceTheoremsfortheGeneralizedSplitCommonFixedPointProblem, CuijieZhang Volume2012,ArticleID575014,13pages
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