Nonlinear Functional Analysis and Applications.
Material type:
- text
- computer
- online resource
- 9781616688233
- QA321.5.N66 2012
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.
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