Nonlinear functional analysis and applications . Volume 2 / / Yeol Je Cho, Jong Kyu Kim and Shin Min Kang, editors

• Record Nr.: UNINA9910965866003321
• Pubbl/distr/stampa: New York, : Nova Science Publishers, Inc., 2012
• ISBN: 1-61668-823-8
• Edizione: [1st ed.]
• Descrizione fisica: 1 online resource (271 p.)
• Collana: Nonlinear functional analysis and applications ; ; v. 2
• Altri autori (Persone): ChoYeol Je; KimJong Kyu; KangShin Min
• Soggetti: Nonlinear functional analysis
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: Intro -- NONLINEAR FUNCTIONAL ANALYSIS AND APPLICATIONS VOLUME 2 -- NONLINEAR FUNCTIONAL ANALYSIS AND APPLICATIONS VOLUME 2 -- CONTENTS -- PREFACE -- STRONG CONVERGENCE OF EXPLICIT ITERATION PROCESS FOR A FINITE FAMILY OF Z-OPERATORS IN NORMED SPACES -- 1.IntroductionandPreliminaries -- References -- POSITIVE SOLUTIONS OF THREE-POINT BOUNDARY VALUE PROBLEMS FOR NONLINEAR SINGULAR 2nth-ORDER DIFFERENTIAL EQUATIONS -- 1.Introduction -- 2.PreliminariesAndSeveralLemmas -- 3.TheMainResults -- 4.AnExample -- References -- SOME UNIQUENESS THEOREMS OF NONLINEAR FRACTIONAL DIFERENTIAL EQUATIONS -- 1.Introduction -- 2.Preliminaries -- 3.UniquenessTheorems -- References -- A SURJECTIVITY THEOREM FOR CONDENSING PERTURBATIONS -- 1.Introduction -- 2.DegreeTheory -- 3.SurjectivityforCondensingPerturbations -- References -- ON NONLINEAR (A, )-MONOTONE OPERATOR INCLUSION SYSTEMS WITH FUZZY MAPPINGS IN HILBERT SPACES -- 1.Introduction -- 2.Preliminaries -- 3.ExistenceTheorems -- References -- RECENT DEVELOPMENT OF M-ESTIMATION IN NONPARAMETRIC SPATIAL REGRESSION -- 1.Introduction -- 2.WeakConsistencyandAsymptoticNormality -- 3.StrongBahadurRepresentation -- 4.AdditiveSpatialModel -- 5.Conclusion -- References -- ON STABILITY OF HYBRID DYNAMICAL ; SYSTEMS WITH TIME DELAY -- 1.Introduction -- 2.Preliminaries -- 3.MainResults -- 4.Applications -- References -- EXISTENCE OF SOLUTIONS FOR FUZZY QUASI-VARIATIONAL INEQUALITIES WITH CONCAVE MEMBERSHIP FUNCTIONS BY TOLERANCE APPROACH -- 1.IntroductionandPreliminaries -- 2.ExistenceTheorems -- 3.AlgorithmandNumericalExample -- References -- ON EXTENDED GRAND FURUTA INEQUALITY AND FURUTA'S QUESTION -- 1.Introduction -- 2.AnsweringFuruta'sFirstQuestionandRelatedOperatorInequalities -- 3.OtherEquivalencesforOperatorInequalitiesbyTheoremU0 -- References -- PM -SERVICE POLICY FOR M/G/1 AND G/M/1 QUNEING SYSTEMS -- 1.Introduction.; 2.DecompositionoftheWorkloadProcessinM/G/1Queue -- 3.StationaryWorkloadofM/G/1QueuewiththePolicy -- 3.1.TheStationaryDistributionofType1Process -- 3.2.TheStationaryDistributionofType2Process -- 3.3.TheStationaryWorkload -- 4.DecompositionoftheWorkloadProcessinG/M/1Queue -- 5.StationaryWorkloadinG/M/1QueuewiththePolicy -- 5.1.TheStationaryDistributionofType1Process -- 5.2.TheStationaryDistributionofType2Process -- References -- THREE-STEP ITERATIVE ALGORITHMS FOR SOLVING THE SYSTEM OF GENERALIZED MIXED IMPLICIT QUASI-EQUILIBRIUM-LIKE PROBLEMS -- 1.Introduction -- 2.Preliminaries -- 2.IterativeAlgorithmandConvergenceTheorem -- References -- THREE-STEP ITERATION WITH ERRORS FOR NON-LIPSCHITZIAN NON-SELF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN BANACH SPACES -- 1.Introduction -- 2.Preliminaries -- 3.MainResults -- References -- MOUDAFI'S VISCOSITY APPROXIMATIONS WITH STRONG PSEUDO-CONTRACTIONS FOR CONTRACTION SEMIGROUPS IN BANACH SPACES -- 1.IntroductionandPreliminaries -- 2.MainResults -- References -- STRONG CONVERGENCE THEOREM BY A HYBRID METHOD FOR A GENERALIZED EQUILIBRIUM PROBLEM WITH A NONEXPANSIVE MAPPING -- 1.Introduction -- 2.Preliminaries -- 3.MainTheorem -- 4.Applications -- References -- INEXACT NEWTON METHODS AND AN IMPROVED CONJUGATE GRADIENT SOLVER FOR THE NORMAL EQUATIONS -- 1.Introduction -- 2.AÿneCovariantInexactNewtonMethods -- 3.ConvergenceofAÿneCovariantInexactNewtonMethods -- 4.AlgorithmicAspectsofAÿneCovariantInexactNewtonMethods -- (1)Convergencemonitor -- (2)Terminationcriterion -- (3)Balancingouterandinneriterations -- References -- ON A GENERALIZED NONLINEAR MIXED QUASIOVARIATIONAL INCLUSION WITH (H, )-MONOTONE OPERATOR -- 1.Introduction -- 2.Preliminaries -- 3.AGeneralizedNonlinearMixedQuasivariationalInclusionandIterativeAlgorithm -- 4.AnExistenceandConvergenceTheorem -- References.; ALGORITHMS FOR SOLVING QUASI VARIATIONAL INCLUSION PROBLEMS AND FIXED POINT PROBLEMS -- 1.IntroductionandPreliminaries -- 2.MainResults -- References -- STRONG CONVERGENCE THEOREMS FOR A PAIR OF UNIFORMLY L-LIPSCHITZIAN MAPPINGS IN BANACH SPACES -- 1.IntroductionandPreliminaries -- 2.MainResults -- References -- A SURVEY ON SOME RECENT BOUNDS FOR THEˇ CEBYˇSEY FUNCTIONAL ASSOCIATED WITH TWO FUNCTIONS OF SELFADJOINT OPERATOR IN HILBERT SPACES -- 1.Introduction -- 2.ˇCebyˇsev'sInequality -- 2.1.ˇCebyˇsev'sInequalityforRealNumbers -- 2.2.AVersionoftheˇCebyˇsevInequalityforOneOperator -- 2.3.AVersionoftheˇCebyˇsevInequalityfornOperators -- 2.4.AnotherVersionoftheˇCebyˇsevInequalityfornOperators -- 2.5.RelatedResultsforOneOperator -- 3.Gr¨ussInequality -- 3.1.SomeElementaryInequalitiesofGr¨ussType -- 3.2.OperatorInequalities ; -- 3.3.AnInequalityofGr¨uss'TypeforOneOperator -- 3.4.AnInequalityofGr¨uss'TypefornOperators -- 3.5.AnotherInequalityofGr¨uss'TypefornOperators -- 4.MoreInequalitiesofGr¨ussType -- 4.1.SomeVectorialGr¨uss'TypeInequalities -- 4.2.SomeInequalitiesofGr¨uss'TypeforOneOperator -- 4.3.SomeInequalitiesofGr¨uss'TypefornOperators -- 5.MoreInequalitiesfortheˇCebyˇsevFunctional -- 5.1.ARefinementandSomeRelatedResults -- 5.2.SomeInequalitiesforSequencesofOperators -- 5.3.SomeReversesofJensen'sInequality -- 5.4.SomeParticularGr¨uss'TypeInequalities -- 6.BoundsfortheˇCebyˇsevFunctionalofLipschitzianFunctions -- 61.TheCaseofLipschitzianFunctions -- 6.2.SomeInequalitiesforSequencesofOperators -- 6.4.SomeApplications -- References -- NEW METHOD FOR SOLVING A NONLINEAR ORDINARY DIFFERENTIAL EQUATION -- 1.Introduction -- 2.PropertiesofRationalLegendreFunctions -- 2.1.RationalLegendreFunctions -- 2.2.FunctionApproximation -- 2.3.RationalLegendreInterpolationApproximation -- 3.SolutionofThomas-FermiEquation -- 4.Conclusion -- References.; GENERALIZED DISTANCE AND COMMON FIXED POINT THEOREM IN FUZZY METRIC SPACES -- 1.IntroductionandPreliminaries -- 2.ˆ-Distance -- 3.TheMainResult -- References.
• Sommario/riassunto: This book reviews topics on the areas of fixed point theory, convex and set-valued analysis, variational inequality and complementarity problem theory, nonlinear ergodic theory, difference, differential and integral equations, control and optimization theory, dynamic system theory, inequality theory, stochastic analysis and probability theory, and their applications.