Solutions of Fixed Point Problems with Computational Errors

Author:   Alexander J. Zaslavski
Publisher:   Springer International Publishing AG
Edition:   2024 ed.
Volume:   210
ISBN:  

9783031508783


Pages:   386
Publication Date:   20 March 2024
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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Solutions of Fixed Point Problems with Computational Errors


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Overview

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.

Full Product Details

Author:   Alexander J. Zaslavski
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   2024 ed.
Volume:   210
ISBN:  

9783031508783


ISBN 10:   3031508785
Pages:   386
Publication Date:   20 March 2024
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

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.

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Author Information

Alexander J. Zaslavski, Department of Mathematics, Technion – Israel Institute of Technology, Haifa, Israel.

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