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- Startseite
Bücher Englische Bücher Algorithms for Solving Common Fixed Point Problems
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Algorithms for Solving Common Fixed Point Problems
Alexander J. Zaslavski (Taschenbuch, Englisch)
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Beschreibung
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 problemsin 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. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
30.01.2019
Sprache
Englisch
EAN
9783030084554
Herausgeber
Springer International Publishing
Serien- oder Bandtitel
Springer Optimization and Its Applications
Sonderedition
Nein
Autor
Alexander J. Zaslavski
Seitenanzahl
316
Auflage
Softcover reprint of the original 1st edition 2018
Einbandart
Taschenbuch
Schlagwörter
fixed point problems, Hilbert space, convex feasibility problems, tomography, Dynamic string methods
Thema-Inhalt
PBU - Optimierung
PBKF - Funktionalanalysis und Abwandlungen
PBKS - Numerische Mathematik
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer Nature Customer Service Center GmbH, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com
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