Convex Analysis and Monotone Operator Theory in Hilbert Spaces

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ISBN: 978-1-4419-9466-0 (Print) 978-1-4419-9467-7 (Online)

Table of contents (29 chapters)

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  1. Front Matter

    Pages i-xvi

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    Book Chapter

    Pages 1-25

    Background

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    Book Chapter

    Pages 27-42

    Hilbert Spaces

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    Book Chapter

    Pages 43-58

    Convex Sets

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    Book Chapter

    Pages 59-74

    Convexity and Nonexpansiveness

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    Book Chapter

    Pages 75-86

    Fejér Monotonicity and Fixed Point Iterations

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    Book Chapter

    Pages 87-106

    Convex Cones and Generalized Interiors

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    Book Chapter

    Pages 107-112

    Support Functions and Polar Sets

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    Book Chapter

    Pages 113-127

    Convex Functions

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    Book Chapter

    Pages 129-141

    Lower Semicontinuous Convex Functions

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    Book Chapter

    Pages 143-153

    Convex Functions: Variants

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    Book Chapter

    Pages 155-165

    Convex Variational Problems

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    Book Chapter

    Pages 167-180

    Infimal Convolution

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    Book Chapter

    Pages 181-195

    Conjugation

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    Pages 197-206

    Further Conjugation Results

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    Book Chapter

    Pages 207-222

    Fenchel–Rockafellar Duality

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    Book Chapter

    Pages 223-240

    Subdifferentiability

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    Book Chapter

    Pages 241-259

    Differentiability of Convex Functions

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    Book Chapter

    Pages 261-274

    Further Differentiability Results

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    Book Chapter

    Pages 275-292

    Duality in Convex Optimization

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    Book Chapter

    Pages 293-309

    Monotone Operators

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