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Geometric Properties of Banach Spaces and Nonlinear Iterations

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Cover of 'Geometric Properties of Banach Spaces and Nonlinear Iterations'

Table of Contents

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    Book Overview
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    Chapter 1 Some Geometric Properties of Banach Spaces
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    Chapter 2 Smooth Spaces
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    Chapter 3 Duality Maps in Banach Spaces
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    Chapter 4 Inequalities in Uniformly Convex Spaces
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    Chapter 5 Inequalities in Uniformly Smooth Spaces
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    Chapter 6 Iterative Method for Fixed Points of Nonexpansive Mappings
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    Chapter 7 Hybrid Steepest Descent Method for Variational Inequalities
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    Chapter 8 Iterative Methods for Zeros of Ф – Accretive-Type Operators
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    Chapter 9 Iteration Processes for Zeros of Generalized Ф —Accretive Mappings
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    Chapter 10 An Example; Mann Iteration for Strictly Pseudo-contractive Mappings
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    Chapter 11 Approximation of Fixed Points of Lipschitz Pseudo-contractive Mappings
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    Chapter 12 Generalized Lipschitz Accretive and Pseudo-contractive Mappings
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    Chapter 13 Applications to Hammerstein Integral Equations
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    Chapter 14 Iterative Methods for Some Generalizations of Nonexpansive Maps
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    Chapter 15 Common Fixed Points for Finite Families of Nonexpansive Mappings
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    Chapter 16 Common Fixed Points for Countable Families of Nonexpansive Mappings
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    Chapter 17 Common Fixed Points for Families of Commuting Nonexpansive Mappings
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    Chapter 18 Finite Families of Lipschitz Pseudo-contractive and Accretive Mappings
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    Chapter 19 Generalized Lipschitz Pseudo-contractive and Accretive Mappings
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    Chapter 20 Finite Families of Non-self Asymptotically Nonexpansive Mappings
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    Chapter 21 Families of Total Asymptotically Nonexpansive Maps
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    Chapter 22 Common Fixed Points for One-parameter Nonexpansive Semigroup
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    Chapter 23 Single-valued Accretive Operators; Applications; Some Open Questions
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Title
Geometric Properties of Banach Spaces and Nonlinear Iterations
Published by
Springer London, December 2008
DOI 10.1007/978-1-84882-190-3
ISBNs
978-1-84882-189-7, 978-1-84882-190-3
Authors

Chidume, Charles