Iterative Methods for Fixed Point Problems in Hilbert Spaces
Andrzej Cegielski
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Description for Iterative Methods for Fixed Point Problems in Hilbert Spaces
Paperback. Deals with iterative methods for finding fixed points of non-expansive operators in Hilbert spaces. In this monograph, the authors introduce several classes of operators, examine their properties, define iterative methods generated by operators from these classes and present general convergence theorems. Series: Lecture Notes in Mathematics. Num Pages: 314 pages, 58 black & white illustrations, 3 colour illustrations, biography. BIC Classification: PBKF; PBKQ; PBKS; PBU. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 15. Weight in Grams: 486.
Iterative methods for finding fixed points of non-expansive operators in Hilbert spaces have been described in many publications. In this monograph we try to present the methods in a consolidated way. We introduce several classes of operators, examine their properties, define iterative methods generated by operators from these classes and present general convergence theorems. On this basis we discuss the conditions under which particular methods converge. A large part of the results presented in this monograph can be found in various forms in the literature (although several results presented here are new). We have tried, however, to show that the ... Read more
Iterative methods for finding fixed points of non-expansive operators in Hilbert spaces have been described in many publications. In this monograph we try to present the methods in a consolidated way. We introduce several classes of operators, examine their properties, define iterative methods generated by operators from these classes and present general convergence theorems. On this basis we discuss the conditions under which particular methods converge. A large part of the results presented in this monograph can be found in various forms in the literature (although several results presented here are new). We have tried, however, to show that the ... Read more
Product Details
Format
Paperback
Publication date
2012
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Germany
Number of pages
314
Condition
New
Series
Lecture Notes in Mathematics
Number of Pages
298
Place of Publication
Berlin, Germany
ISBN
9783642309007
SKU
V9783642309007
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Iterative Methods for Fixed Point Problems in Hilbert Spaces
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 ... Read more