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Springer Optimization and Its Applications

Algorithms for Solving Common Fixed Point Problems

Authors: Zaslavski, Alexander J.

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  • Examines approximate solutions to common fixed point problems
  • Offers a number of algorithms to solve convex feasibility problems and common fixed point problems
  • Covers theoretical achievements and applications to engineering
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eBook 93,08 €
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  • ISBN 978-3-319-77437-4
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Softcover 83,19 €
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  • ISBN 978-3-030-08455-4
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About this book

This book details approximate solutions to common fixed point problems and convex feasibility problems in the presence of perturbations. Convex feasibility problems search for a common point of a finite collection of subsets in a Hilbert space; common fixed point problems pursue a common fixed point of a finite collection of self-mappings in a Hilbert space. A variety of algorithms are considered in this book for solving both types of problems,  the study of which has fueled a rapidly growing area of research. This monograph is timely and highlights the numerous applications to engineering, computed tomography, and radiation therapy planning.

Totaling eight chapters, this book begins with an introduction to foundational material and moves on to examine iterative methods in metric spaces. The dynamic string-averaging methods for common fixed point problems in normed space are analyzed in Chapter 3. Dynamic string methods, for common fixed point problems in a metric space are introduced and discussed in Chapter 4. Chapter 5 is devoted to the convergence of an abstract version of the algorithm which has been called  component-averaged row projections (CARP). Chapter 6 studies a proximal algorithm for finding a common zero of a family of maximal monotone operators. Chapter 7 extends the results of Chapter 6 for a dynamic string-averaging version of the proximal algorithm. In Chapters 8 subgradient projections algorithms for convex feasibility problems are examined for infinite dimensional Hilbert spaces. 

Table of contents (8 chapters)

Table of contents (8 chapters)

Buy this book

eBook 93,08 €
price for Spain (gross)
  • ISBN 978-3-319-77437-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 114,39 €
price for Spain (gross)
  • ISBN 978-3-319-77436-7
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 83,19 €
price for Spain (gross)
  • Due: May 28, 2019
  • ISBN 978-3-030-08455-4
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Algorithms for Solving Common Fixed Point Problems
Authors
Series Title
Springer Optimization and Its Applications
Series Volume
132
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG, part of Springer Nature
eBook ISBN
978-3-319-77437-4
DOI
10.1007/978-3-319-77437-4
Hardcover ISBN
978-3-319-77436-7
Softcover ISBN
978-3-030-08455-4
Series ISSN
1931-6828
Edition Number
1
Number of Pages
VIII, 316
Topics

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