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Titlebook: Iterative Methods for Fixed Point Problems in Hilbert Spaces; Andrzej Cegielski Book 2013 Springer-Verlag Berlin Heidelberg 2013 47-02, 49

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发表于 2025-3-21 18:56:32 | 显示全部楼层 |阅读模式
书目名称Iterative Methods for Fixed Point Problems in Hilbert Spaces
编辑Andrzej Cegielski
视频video
概述The projection methods for fixed point problems are presented in a consolidated way.Over 60 figures help to understand the properties of important classes of algorithmic operators.The convergence prop
丛书名称Lecture Notes in Mathematics
图书封面Titlebook: Iterative Methods for Fixed Point Problems in Hilbert Spaces;  Andrzej Cegielski Book 2013 Springer-Verlag Berlin Heidelberg 2013 47-02, 49
描述Iterative methods for finding fixed points of non-expansive operators in Hilbert spaces have been described in many publications. In this monograph we try to present the methods in a consolidated way. We introduce several classes of operators, examine their properties, define iterative methods generated by operators from these classes and present general convergence theorems. On this basis we discuss the conditions under which particular methods converge. A large part of the results presented in this monograph can be found in various forms in the literature (although several results presented here are new). We have tried, however, to show that the convergence of a large class of iteration methods follows from general properties of some classes of operators and from some general convergence theorems.
出版日期Book 2013
关键词47-02, 49-02, 65-02, 90-02, 47H09, 47J25, 37C25, 65F10; fixed point; projection methods; quasi-nonexpan
版次1
doihttps://doi.org/10.1007/978-3-642-30901-4
isbn_softcover978-3-642-30900-7
isbn_ebook978-3-642-30901-4Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer-Verlag Berlin Heidelberg 2013
The information of publication is updating

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发表于 2025-3-21 23:36:41 | 显示全部楼层
0075-8434 ortant classes of algorithmic operators.The convergence propIterative methods for finding fixed points of non-expansive operators in Hilbert spaces have been described in many publications. In this monograph we try to present the methods in a consolidated way. We introduce several classes of operato
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Algorithmic Operators,rtance of these operators follows from the fact that they define algorithms for solving convex optimization problems. In one iteration of the algorithm an appropriate operator (called an algorithmic operator) defines an actualization of the current approximation of a solution of the convex optimization problem.
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Andrzej Cegielskimust also test how well suited the plan and implementation of policy measures are to achieve these goals. Although most evaluations are limitied to this level, it should only be the first stage. A comprehensive understanding of the evaluation of government action requires that the objectives of the
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