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The Resource Geometric Properties of Banach Spaces and Nonlinear Iterations, by Charles Chidume, (electronic resource)
Geometric Properties of Banach Spaces and Nonlinear Iterations, by Charles Chidume, (electronic resource)
Resource Information
The item Geometric Properties of Banach Spaces and Nonlinear Iterations, by Charles Chidume, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Geometric Properties of Banach Spaces and Nonlinear Iterations, by Charles Chidume, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 Summary
 Nonlinear functional analysis and applications is an area of study that has provided fascination for many mathematicians across the world. This monograph delves specifically into the topic of the geometric properties of Banach spaces and nonlinear iterations, a subject of extensive research over the past thirty years. Chapters 1 to 5 develop materials on convexity and smoothness of Banach spaces, associated moduli and connections with duality maps. Key results obtained are summarized at the end of each chapter for easy reference. Chapters 6 to 23 deal with an indepth, comprehensive and uptodate coverage of the main ideas, concepts and results on iterative algorithms for the approximation of fixed points of nonlinear nonexpansive and pseudocontractivetype mappings. This includes detailed workings on solutions of variational inequality problems, solutions of Hammerstein integral equations, and common fixed points (and common zeros) of families of nonlinear mappings. Carefully referenced and full of recent, incisive findings and interesting openquestions, this volume will prove useful for graduate students of mathematical analysis and will be a keyread for mathematicians with an interest in applications of geometric properties of Banach spaces, as well as specialists in nonlinear operator theory
 Language
 eng
 Contents

 Some Geometric Properties of Banach Spaces
 Smooth Spaces
 Duality Maps in Banach Spaces
 Inequalities in Uniformly Convex Spaces
 Inequalities in Uniformly Smooth Spaces
 Iterative Method for Fixed Points of Nonexpansive Mappings
 Hybrid Steepest Descent Method for Variational Inequalities
 Iterative Methods for Zeros of ? – AccretiveType Operators
 Iteration Processes for Zeros of Generalized ? —Accretive Mappings
 An Example; Mann Iteration for Strictly Pseudocontractive Mappings
 Approximation of Fixed Points of Lipschitz Pseudocontractive Mappings
 Generalized Lipschitz Accretive and Pseudocontractive Mappings
 Applications to Hammerstein Integral Equations
 Iterative Methods for Some Generalizations of Nonexpansive Maps
 Common Fixed Points for Finite Families of Nonexpansive Mappings
 Common Fixed Points for Countable Families of Nonexpansive Mappings
 Common Fixed Points for Families of Commuting Nonexpansive Mappings
 Finite Families of Lipschitz Pseudocontractive and Accretive Mappings
 Generalized Lipschitz Pseudocontractive and Accretive Mappings
 Finite Families of Nonself Asymptotically Nonexpansive Mappings
 Families of Total Asymptotically Nonexpansive Maps
 Common Fixed Points for Oneparameter Nonexpansive Semigroup
 Singlevalued Accretive Operators; Applications; Some Open Questions
 Isbn
 9781848821903
 Label
 Geometric Properties of Banach Spaces and Nonlinear Iterations
 Title
 Geometric Properties of Banach Spaces and Nonlinear Iterations
 Statement of responsibility
 by Charles Chidume
 Subject

 Integral Equations
 Integral Equations
 Operator theory
 Numerical Analysis
 Operator Theory
 Integral equations
 Functional analysis
 Mathematical optimization
 Functional Analysis
 Numerical analysis
 Integral equations
 Electronic resources
 Functional Analysis
 Operator Theory
 Numerical analysis
 Mathematics
 Mathematics
 Calculus of Variations and Optimal Control; Optimization
 Numerical Analysis
 Functional analysis
 Operator theory
 Mathematical optimization
 Language
 eng
 Summary
 Nonlinear functional analysis and applications is an area of study that has provided fascination for many mathematicians across the world. This monograph delves specifically into the topic of the geometric properties of Banach spaces and nonlinear iterations, a subject of extensive research over the past thirty years. Chapters 1 to 5 develop materials on convexity and smoothness of Banach spaces, associated moduli and connections with duality maps. Key results obtained are summarized at the end of each chapter for easy reference. Chapters 6 to 23 deal with an indepth, comprehensive and uptodate coverage of the main ideas, concepts and results on iterative algorithms for the approximation of fixed points of nonlinear nonexpansive and pseudocontractivetype mappings. This includes detailed workings on solutions of variational inequality problems, solutions of Hammerstein integral equations, and common fixed points (and common zeros) of families of nonlinear mappings. Carefully referenced and full of recent, incisive findings and interesting openquestions, this volume will prove useful for graduate students of mathematical analysis and will be a keyread for mathematicians with an interest in applications of geometric properties of Banach spaces, as well as specialists in nonlinear operator theory
 http://library.link/vocab/creatorName
 Chidume, Charles
 Image bit depth
 0
 LC call number
 QA329329.9
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName
 SpringerLink
 Series statement
 Lecture Notes in Mathematics,
 Series volume
 1965
 http://library.link/vocab/subjectName

 Mathematics
 Functional analysis
 Integral equations
 Operator theory
 Numerical analysis
 Mathematical optimization
 Mathematics
 Operator Theory
 Calculus of Variations and Optimal Control; Optimization
 Functional Analysis
 Integral Equations
 Numerical Analysis
 Label
 Geometric Properties of Banach Spaces and Nonlinear Iterations, by Charles Chidume, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 Some Geometric Properties of Banach Spaces  Smooth Spaces  Duality Maps in Banach Spaces  Inequalities in Uniformly Convex Spaces  Inequalities in Uniformly Smooth Spaces  Iterative Method for Fixed Points of Nonexpansive Mappings  Hybrid Steepest Descent Method for Variational Inequalities  Iterative Methods for Zeros of ? – AccretiveType Operators  Iteration Processes for Zeros of Generalized ? —Accretive Mappings  An Example; Mann Iteration for Strictly Pseudocontractive Mappings  Approximation of Fixed Points of Lipschitz Pseudocontractive Mappings  Generalized Lipschitz Accretive and Pseudocontractive Mappings  Applications to Hammerstein Integral Equations  Iterative Methods for Some Generalizations of Nonexpansive Maps  Common Fixed Points for Finite Families of Nonexpansive Mappings  Common Fixed Points for Countable Families of Nonexpansive Mappings  Common Fixed Points for Families of Commuting Nonexpansive Mappings  Finite Families of Lipschitz Pseudocontractive and Accretive Mappings  Generalized Lipschitz Pseudocontractive and Accretive Mappings  Finite Families of Nonself Asymptotically Nonexpansive Mappings  Families of Total Asymptotically Nonexpansive Maps  Common Fixed Points for Oneparameter Nonexpansive Semigroup  Singlevalued Accretive Operators; Applications; Some Open Questions
 Dimensions
 unknown
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9781848821903
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9781848821903
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9781848821903
 Label
 Geometric Properties of Banach Spaces and Nonlinear Iterations, by Charles Chidume, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 Some Geometric Properties of Banach Spaces  Smooth Spaces  Duality Maps in Banach Spaces  Inequalities in Uniformly Convex Spaces  Inequalities in Uniformly Smooth Spaces  Iterative Method for Fixed Points of Nonexpansive Mappings  Hybrid Steepest Descent Method for Variational Inequalities  Iterative Methods for Zeros of ? – AccretiveType Operators  Iteration Processes for Zeros of Generalized ? —Accretive Mappings  An Example; Mann Iteration for Strictly Pseudocontractive Mappings  Approximation of Fixed Points of Lipschitz Pseudocontractive Mappings  Generalized Lipschitz Accretive and Pseudocontractive Mappings  Applications to Hammerstein Integral Equations  Iterative Methods for Some Generalizations of Nonexpansive Maps  Common Fixed Points for Finite Families of Nonexpansive Mappings  Common Fixed Points for Countable Families of Nonexpansive Mappings  Common Fixed Points for Families of Commuting Nonexpansive Mappings  Finite Families of Lipschitz Pseudocontractive and Accretive Mappings  Generalized Lipschitz Pseudocontractive and Accretive Mappings  Finite Families of Nonself Asymptotically Nonexpansive Mappings  Families of Total Asymptotically Nonexpansive Maps  Common Fixed Points for Oneparameter Nonexpansive Semigroup  Singlevalued Accretive Operators; Applications; Some Open Questions
 Dimensions
 unknown
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9781848821903
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9781848821903
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9781848821903
Subject
 Calculus of Variations and Optimal Control; Optimization
 Electronic resources
 Functional Analysis
 Functional Analysis
 Functional analysis
 Functional analysis
 Integral Equations
 Integral Equations
 Integral equations
 Integral equations
 Mathematical optimization
 Mathematical optimization
 Mathematics
 Mathematics
 Numerical Analysis
 Numerical Analysis
 Numerical analysis
 Numerical analysis
 Operator Theory
 Operator Theory
 Operator theory
 Operator theory
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