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Titlebook: Optimization on Solution Sets of Common Fixed Point Problems; Alexander J. Zaslavski Book 2021 The Editor(s) (if applicable) and The Autho

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发表于 2025-3-21 16:45:44 | 显示全部楼层 |阅读模式
书目名称Optimization on Solution Sets of Common Fixed Point Problems
编辑Alexander J. Zaslavski
视频video
概述Studies the influence of computational errors on minimization problems with a convex objective function on a common fixed point set of a finite family of quasi-nonexpansive mappings.Highlights the use
丛书名称Springer Optimization and Its Applications
图书封面Titlebook: Optimization on Solution Sets of Common Fixed Point Problems;  Alexander J. Zaslavski Book 2021 The Editor(s) (if applicable) and The Autho
描述This book is devoted to a detailed study of the subgradient projection method and its variants for convex optimization problems over the solution sets of common fixed point problems and convex feasibility problems. These optimization problems are investigated to determine good solutions obtained by different versions of the subgradient projection algorithm in the presence of sufficiently small computational errors.  The use of selected algorithms is highlighted including the Cimmino type subgradient, the iterative subgradient, and the dynamic string-averaging subgradient.  All results presented are new.  Optimization problems where the underlying constraints are the solution sets of other problems, frequently occur in applied mathematics. The reader should not miss the section in Chapter 1 which considers some examples arising in the real world applications. The problems discussed have an important impact in optimization theory as well. The book will be useful for researches interested in the optimization theory and its applications..
出版日期Book 2021
关键词subgradient algorithms; quasi-nonexpansive mapping; dynamioc string-averaging; solution sets; common fix
版次1
doihttps://doi.org/10.1007/978-3-030-78849-0
isbn_softcover978-3-030-78851-3
isbn_ebook978-3-030-78849-0Series ISSN 1931-6828 Series E-ISSN 1931-6836
issn_series 1931-6828
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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Proximal Point Subgradient Algorithm,ach of them generates a good approximate solution, if the sequence of computational errors is bounded from above by a small constant. Moreover, if we known computational errors for our algorithm, we find out what an approximate solution can be obtained and how many iterates one needs for this.
发表于 2025-3-22 08:03:23 | 显示全部楼层
Fixed Point Gradient Projection Algorithm,rrors. We show that an algorithm generates a good approximate solution, if the sequence of computational errors is bounded from above by a small constant. Moreover, if we known computational errors for our algorithm, we find out what an approximate solution can be obtained and how many iterates one needs for this.
发表于 2025-3-22 11:46:55 | 显示全部楼层
Cimmino Gradient Projection Algorithm,s. We show that an algorithm generates a good approximate solution, if the sequence of computational errors is bounded from above by a small constant. Moreover, if we known computational errors for our algorithm, we find out what an approximate solution can be obtained and how many iterates one needs for this.
发表于 2025-3-22 14:37:47 | 显示全部楼层
Springer Optimization and Its Applicationshttp://image.papertrans.cn/o/image/703308.jpg
发表于 2025-3-22 19:51:29 | 显示全部楼层
https://doi.org/10.1007/978-3-030-78849-0subgradient algorithms; quasi-nonexpansive mapping; dynamioc string-averaging; solution sets; common fix
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A Class of Nonsmooth Convex Optimization Problems,this class of problems, an objective function is assumed to be convex but a set of admissible points is not necessarily convex. Our goal is to obtain an .-approximate solution in the presence of computational errors, where . is a given positive number.
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