Overview
- Studies approximate solutions of star-shaped feasibility problems in the presence of perturbations
- Analyzes approximate solutions of inconsistent convex feasibility problems in a Hilbert space under perturbations
- Presents solutions of split common fixed point problems in a Hilbert space under perturbations
Part of the book series: Springer Optimization and Its Applications (SOIA, volume 210)
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Table of contents (8 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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 errorsfor several important algorithms used for nonconvex feasibility problems.
Authors and Affiliations
About the author
Alexander J. Zaslavski, Department of Mathematics, Technion – Israel Institute of Technology, Haifa, Israel.
Bibliographic Information
Book Title: Solutions of Fixed Point Problems with Computational Errors
Authors: Alexander J. Zaslavski
Series Title: Springer Optimization and Its Applications
DOI: https://doi.org/10.1007/978-3-031-50879-0
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2024
Hardcover ISBN: 978-3-031-50878-3Published: 20 March 2024
Softcover ISBN: 978-3-031-50881-3Due: 20 April 2024
eBook ISBN: 978-3-031-50879-0Published: 19 March 2024
Series ISSN: 1931-6828
Series E-ISSN: 1931-6836
Edition Number: 1
Number of Pages: IX, 386
Topics: Optimization, Operator Theory, Computational Mathematics and Numerical Analysis