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)

Label
Geometric Properties of Banach Spaces and Nonlinear Iterations
Title
Geometric Properties of Banach Spaces and Nonlinear Iterations
Statement of responsibility
by Charles Chidume
Creator
Author
Author
Subject
Language
  • eng
  • 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 in-depth, comprehensive and up-to-date coverage of the main ideas, concepts and results on iterative algorithms for the approximation of fixed points of nonlinear nonexpansive and pseudo-contractive-type 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 open-questions, this volume will prove useful for graduate students of mathematical analysis and will be a key-read for mathematicians with an interest in applications of geometric properties of Banach spaces, as well as specialists in nonlinear operator theory
Member of
Is Subseries of
http://library.link/vocab/creatorName
Chidume, Charles
Dewey number
515.732
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
PurPWjSWAwo
Image bit depth
0
Language note
English
LC call number
QA329-329.9
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Lecture Notes in Mathematics,
Series volume
1965
http://library.link/vocab/subjectName
  • Operator theory
  • Global analysis (Mathematics)
  • Functional analysis
  • Mathematical optimization
  • Integral equations
  • Numerical analysis
  • Operator Theory
  • Analysis
  • Functional Analysis
  • Calculus of Variations and Optimal Control; Optimization
  • Integral Equations
  • Numerical Analysis
Label
Geometric Properties of Banach Spaces and Nonlinear Iterations, by Charles Chidume, (electronic resource)
Instantiates
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Bibliography note
Includes bibliographical references (p. 301-324) and index
Carrier category
online resource
Carrier category code
  • cr
Color
not applicable
Content category
text
Content type code
  • txt
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 ? – Accretive-Type Operators -- Iteration Processes for Zeros of Generalized ? —Accretive Mappings -- An Example; Mann Iteration for Strictly Pseudo-contractive Mappings -- Approximation of Fixed Points of Lipschitz Pseudo-contractive Mappings -- Generalized Lipschitz Accretive and Pseudo-contractive 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 Pseudo-contractive and Accretive Mappings -- Generalized Lipschitz Pseudo-contractive and Accretive Mappings -- Finite Families of Non-self Asymptotically Nonexpansive Mappings -- Families of Total Asymptotically Nonexpansive Maps -- Common Fixed Points for One-parameter Nonexpansive Semigroup -- Single-valued Accretive Operators; Applications; Some Open Questions
Dimensions
unknown
Edition
1st ed. 2009.
Extent
1 online resource (XVII, 326 p.)
File format
multiple file formats
Form of item
online
Isbn
9781848821903
Level of compression
uncompressed
Media category
computer
Media type code
  • c
Other control number
10.1007/978-1-84882-190-3
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)1000000000546259
  • (SSID)ssj0000317943
  • (PQKBManifestationID)11245545
  • (PQKBTitleCode)TC0000317943
  • (PQKBWorkID)10307696
  • (PQKB)11700493
  • (DE-He213)978-1-84882-190-3
  • (MiAaPQ)EBC3063832
  • (EXLCZ)991000000000546259
Label
Geometric Properties of Banach Spaces and Nonlinear Iterations, by Charles Chidume, (electronic resource)
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Bibliography note
Includes bibliographical references (p. 301-324) and index
Carrier category
online resource
Carrier category code
  • cr
Color
not applicable
Content category
text
Content type code
  • txt
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 ? – Accretive-Type Operators -- Iteration Processes for Zeros of Generalized ? —Accretive Mappings -- An Example; Mann Iteration for Strictly Pseudo-contractive Mappings -- Approximation of Fixed Points of Lipschitz Pseudo-contractive Mappings -- Generalized Lipschitz Accretive and Pseudo-contractive 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 Pseudo-contractive and Accretive Mappings -- Generalized Lipschitz Pseudo-contractive and Accretive Mappings -- Finite Families of Non-self Asymptotically Nonexpansive Mappings -- Families of Total Asymptotically Nonexpansive Maps -- Common Fixed Points for One-parameter Nonexpansive Semigroup -- Single-valued Accretive Operators; Applications; Some Open Questions
Dimensions
unknown
Edition
1st ed. 2009.
Extent
1 online resource (XVII, 326 p.)
File format
multiple file formats
Form of item
online
Isbn
9781848821903
Level of compression
uncompressed
Media category
computer
Media type code
  • c
Other control number
10.1007/978-1-84882-190-3
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)1000000000546259
  • (SSID)ssj0000317943
  • (PQKBManifestationID)11245545
  • (PQKBTitleCode)TC0000317943
  • (PQKBWorkID)10307696
  • (PQKB)11700493
  • (DE-He213)978-1-84882-190-3
  • (MiAaPQ)EBC3063832
  • (EXLCZ)991000000000546259

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