Overview
- The projection methods for fixed point problems are presented in a consolidated way
- Over 60 figures help to understand the properties of important classes of algorithmic operators
- The convergence properties of projection methods follow from a few general convergence theorems presented in the monograph
- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2057)
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Table of contents (5 chapters)
Keywords
About this book
Reviews
From the reviews:
“Cegielski provides us with a very carefully written monograph on solving convex feasibility (and more general fixed point) problems. … Cegielski’s monograph can serve as an excellent source for an upper-level undergraduate or graduate course. … researchers in this area now have a valuable source of recent results on projection methods to which the author contributed considerably in his work over the past two decades. In summary, I highly recommend this book to anyone interested in projection methods, their generalizations and recent developments.” (Heinz H. Bauschke, Mathematical Reviews, July, 2013)
“This book is mainly concerned with iterative methods to obtain fixed points. … this book is an excellent introduction to various aspects of the iterative approximation of fixed points of nonexpansive operators in Hilbert spaces, with focus on their important applications to convex optimization problems. It would be an excellent text for graduate students, and, by the way the material is structured and presented, it will also serve as a useful introductory text for young researchers in this field.” (Vasile Berinde, Zentralblatt MATH, Vol. 1256, 2013)Authors and Affiliations
Bibliographic Information
Book Title: Iterative Methods for Fixed Point Problems in Hilbert Spaces
Authors: Andrzej Cegielski
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-642-30901-4
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2013
Softcover ISBN: 978-3-642-30900-7Published: 13 September 2012
eBook ISBN: 978-3-642-30901-4Published: 14 September 2012
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XVI, 298
Number of Illustrations: 58 b/w illustrations, 3 illustrations in colour
Topics: Optimization, Functional Analysis, Calculus of Variations and Optimal Control; Optimization, Numerical Analysis, Operator Theory