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

Format:

Book

Contributor:

Cho, Yeol Je.

Kim, Jong Kyu.

Kang, Shin Min.

Series:

Nonlinear Functional Analysis and Applications

Nonlinear functional analysis and applications ; v. 2

Language:

English

Subjects (All):

Nonlinear functional analysis.

Physical Description:

1 online resource (271 p.)

Edition:

1st ed.

Place of Publication:

New York : Nova Science Publishers, Inc., 2012.

Language Note:

English

Summary:

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.

Contents:

Intro

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

SOME UNIQUENESS THEOREMS OF NONLINEAR FRACTIONAL DIFERENTIAL EQUATIONS

2.Preliminaries

3.UniquenessTheorems

A SURJECTIVITY THEOREM FOR CONDENSING PERTURBATIONS

2.DegreeTheory

3.SurjectivityforCondensingPerturbations

ON NONLINEAR (A, )-MONOTONE OPERATOR INCLUSION SYSTEMS WITH FUZZY MAPPINGS IN HILBERT SPACES

3.ExistenceTheorems

RECENT DEVELOPMENT OF M-ESTIMATION IN NONPARAMETRIC SPATIAL REGRESSION

2.WeakConsistencyandAsymptoticNormality

3.StrongBahadurRepresentation

4.AdditiveSpatialModel

5.Conclusion

ON STABILITY OF HYBRID DYNAMICAL SYSTEMS WITH TIME DELAY

3.MainResults

4.Applications

EXISTENCE OF SOLUTIONS FOR FUZZY QUASI-VARIATIONAL INEQUALITIES WITH CONCAVE MEMBERSHIP FUNCTIONS BY TOLERANCE APPROACH

2.ExistenceTheorems

3.AlgorithmandNumericalExample

ON EXTENDED GRAND FURUTA INEQUALITY AND FURUTA'S QUESTION

2.AnsweringFuruta'sFirstQuestionandRelatedOperatorInequalities

3.OtherEquivalencesforOperatorInequalitiesbyTheoremU0

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

THREE-STEP ITERATIVE ALGORITHMS FOR SOLVING THE SYSTEM OF GENERALIZED MIXED IMPLICIT QUASI-EQUILIBRIUM-LIKE PROBLEMS

2.IterativeAlgorithmandConvergenceTheorem

THREE-STEP ITERATION WITH ERRORS FOR NON-LIPSCHITZIAN NON-SELF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN BANACH SPACES

MOUDAFI'S VISCOSITY APPROXIMATIONS WITH STRONG PSEUDO-CONTRACTIONS FOR CONTRACTION SEMIGROUPS IN BANACH SPACES

2.MainResults

STRONG CONVERGENCE THEOREM BY A HYBRID METHOD FOR A GENERALIZED EQUILIBRIUM PROBLEM WITH A NONEXPANSIVE MAPPING

3.MainTheorem

INEXACT NEWTON METHODS AND AN IMPROVED CONJUGATE GRADIENT SOLVER FOR THE NORMAL EQUATIONS

2.AÿneCovariantInexactNewtonMethods

3.ConvergenceofAÿneCovariantInexactNewtonMethods

4.AlgorithmicAspectsofAÿneCovariantInexactNewtonMethods

(1)Convergencemonitor

(2)Terminationcriterion

(3)Balancingouterandinneriterations

ON A GENERALIZED NONLINEAR MIXED QUASIOVARIATIONAL INCLUSION WITH (H, )-MONOTONE OPERATOR

3.AGeneralizedNonlinearMixedQuasivariationalInclusionandIterativeAlgorithm

4.AnExistenceandConvergenceTheorem

References.

ALGORITHMS FOR SOLVING QUASI VARIATIONAL INCLUSION PROBLEMS AND FIXED POINT PROBLEMS

STRONG CONVERGENCE THEOREMS FOR A PAIR OF UNIFORMLY L-LIPSCHITZIAN MAPPINGS IN BANACH SPACES

A SURVEY ON SOME RECENT BOUNDS FOR THEˇ CEBYˇSEY FUNCTIONAL ASSOCIATED WITH TWO FUNCTIONS OF SELFADJOINT OPERATOR IN HILBERT SPACES

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

NEW METHOD FOR SOLVING A NONLINEAR ORDINARY DIFFERENTIAL EQUATION

2.PropertiesofRationalLegendreFunctions

2.1.RationalLegendreFunctions

2.2.FunctionApproximation

2.3.RationalLegendreInterpolationApproximation

3.SolutionofThomas-FermiEquation

4.Conclusion

GENERALIZED DISTANCE AND COMMON FIXED POINT THEOREM IN FUZZY METRIC SPACES

2.ˆ-Distance

3.TheMainResult

Notes:

Description based upon print version of record.

Includes bibliographical references.

ISBN:

1-61668-823-8

OCLC:

923662778