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Titlebook: Algorithms for Solving Common Fixed Point Problems; Alexander J. Zaslavski Book 2018 Springer International Publishing AG, part of Springe

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发表于 2025-3-21 17:42:18 | 显示全部楼层 |阅读模式
期刊全称Algorithms for Solving Common Fixed Point Problems
影响因子2023Alexander J. Zaslavski
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发行地址Examines approximate solutions to common fixed point problems.Offers a number of algorithms to solve convex feasibility problems and common fixed point problems.Covers theoretical achievements and app
学科分类Springer Optimization and Its Applications
图书封面Titlebook: Algorithms for Solving Common Fixed Point Problems;  Alexander J. Zaslavski Book 2018 Springer International Publishing AG, part of Springe
影响因子.This book details approximate solutions to common fixed point problems and convex feasibility problems in the presence of perturbations. Convex feasibility problems search for a common point of a finite collection of subsets in a Hilbert space; common fixed point problems pursue a common fixed point of a finite collection of self-mappings in a Hilbert space. A variety of algorithms are considered in this book for solving both types of problems,  the study of which has fueled a rapidly growing area of research. This monograph is timely and highlights the numerous applications to engineering, computed tomography, and radiation therapy planning.. .Totaling eight chapters, this book begins with an introduction to foundational material and moves on to examine iterative methods in metric spaces. The dynamic string-averaging methods for common fixed point problems in normed space are analyzed in Chapter 3. Dynamic string methods, for common fixed point problemsin a metric space are introduced and discussed in Chapter 4. Chapter 5 is devoted to the convergence of an abstract version of the algorithm which has been called  component-averaged row projections (CARP). Chapter 6 studies a prox
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发表于 2025-3-22 01:55:55 | 显示全部楼层
Dynamic String-Averaging Methods in Normed Spaces,is to obtain an approximate solution of the problem using perturbed algorithms. We show that the inexact dynamic string-averaging algorithm generates an approximate solution if perturbations are summable. We also show that if the mappings are nonexpansive and the perturbations are sufficiently small
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Proximal Point Algorithm,nder the presence of perturbations. We show that the inexact proximal point method generates an approximate solution if perturbations are summable. We also show that if the perturbations are sufficiently small, then the inexact proximal point method produces approximate solutions.
发表于 2025-3-22 14:55:45 | 显示全部楼层
Dynamic String-Averaging Proximal Point Algorithm,ne operators under the presence of perturbations. Our main goal is to obtain an approximate solution of the problem using perturbed algorithms. We show that the inexact dynamic string-averaging proximal point algorithm generates an approximate solution if perturbations are summable. We also show tha
发表于 2025-3-22 19:57:46 | 显示全部楼层
Abstract Version of CARP Algorithm,how that the inexact dynamic string-averaging algorithm generates an approximate solution if perturbations are summable. We also show that if the mappings are nonexpansive and the perturbations are sufficiently small, then the inexact dynamic string-averaging algorithm produces approximate solutions
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