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The Resource Algorithms for Solving Common Fixed Point Problems, by Alexander J. Zaslavski, (electronic resource)

Algorithms for Solving Common Fixed Point Problems, by Alexander J. Zaslavski, (electronic resource)

Label
Algorithms for Solving Common Fixed Point Problems
Title
Algorithms for Solving Common Fixed Point Problems
Statement of responsibility
by Alexander J. Zaslavski
Creator
Subject
Language
eng
Summary
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.--
Member of
Assigning source
Provided by publisher
http://library.link/vocab/creatorName
Zaslavski, Alexander J
Image bit depth
0
Literary form
non fiction
Nature of contents
dictionaries
Series statement
  • Springer eBooks.
  • Springer eBooks
  • Springer Optimization and Its Applications,
Series volume
132
http://library.link/vocab/subjectName
  • Mathematics
  • Operator theory
  • Numerical analysis
  • Calculus of variations
Label
Algorithms for Solving Common Fixed Point Problems, by Alexander J. Zaslavski, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-3-319-77437-4
Instantiates
Publication
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
1. Introduction -- 2. Iterative methods in metric spaces -- 3. Dynamic string-averaging methods in normed spaces -- 4. Dynamic string-maximum methods in metric spaces -- 5. Abstract version of CARP algorithm -- 6. Proximal point algorithm -- 7. Dynamic string-averaging proximal point algorithm -- 8. Convex feasibility problems
Control code
978-3-319-77437-4
Dimensions
unknown
Extent
1 online resource (VIII, 316 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319774374
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-77437-4
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1034540320
Label
Algorithms for Solving Common Fixed Point Problems, by Alexander J. Zaslavski, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-3-319-77437-4
Publication
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
1. Introduction -- 2. Iterative methods in metric spaces -- 3. Dynamic string-averaging methods in normed spaces -- 4. Dynamic string-maximum methods in metric spaces -- 5. Abstract version of CARP algorithm -- 6. Proximal point algorithm -- 7. Dynamic string-averaging proximal point algorithm -- 8. Convex feasibility problems
Control code
978-3-319-77437-4
Dimensions
unknown
Extent
1 online resource (VIII, 316 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319774374
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-77437-4
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1034540320

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