Format:
1 Online-Ressource (IX, 386 Seiten)
ISBN:
9783031508790
Series Statement:
Springer optimization and its applications volume 210
Content:
The book is devoted to the study of approximate solutions of fixed point problems in the presence of computational errors. It begins with a study of approximate solutions of star-shaped feasibility problems in the presence of perturbations. The goal is to show the convergence of algorithms, which are known as important tools for solving convex feasibility problems and common fixed point problems. The text also presents studies of algorithms based on unions of nonexpansive maps, inconsistent convex feasibility problems, and split common fixed point problems. A number of algorithms are considered for solving convex feasibility problems and common fixed point problems. The book will be of interest for researchers and engineers working in optimization, numerical analysis, and fixed point theory. It also can be useful in preparation courses for graduate students. The main feature of the book which appeals specifically to this audience is the study of the influence of computational errors for several important algorithms used for nonconvex feasibility problems.
Note:
1 - Introduction -- 2 - Iterative methods in a Hilbert space -- 3 - The Cimmino algorithm in a Hilbert space -- 4 - Dynamic string-averaging methods in Hilbert spaces -- 5 - Methods with remotest set control in a Hilbert space -- 6 - Algorithms based on unions of nonexpansive maps -- 7 - Inconsistent convex feasibility problems -- 8 - Split common fixed point problems.
Additional Edition:
ISBN 9783031508783
Additional Edition:
ISBN 9783031508806
Additional Edition:
ISBN 9783031508813
Additional Edition:
Erscheint auch als Druck-Ausgabe Zaslavskij, Aleksandr J. Solutions of fixed point problems with computational errors Cham : Springer, 2024 ISBN 9783031508783
Language:
English
DOI:
10.1007/978-3-031-50879-0
