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Solutions of Fixed Point Problems with Computational Errors / by Alexander J. Zaslavski
(Springer Optimization and Its Applications. ISSN:19316836 ; 210)
版 | 1st ed. 2024. |
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出版者 | (Cham : Springer Nature Switzerland : Imprint: Springer) |
出版年 | 2024 |
本文言語 | 英語 |
大きさ | IX, 386 p : online resource |
著者標目 | *Zaslavski, Alexander J author SpringerLink (Online service) |
件 名 | LCSH:Mathematical optimization LCSH:Operator theory LCSH:Mathematics -- Data processing 全ての件名で検索 FREE:Optimization FREE:Operator Theory FREE:Computational Mathematics and Numerical Analysis |
一般注記 | 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 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 errors for several important algorithms used for nonconvex feasibility problems HTTP:URL=https://doi.org/10.1007/978-3-031-50879-0 |
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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9783031508790 |
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EB00235639 |
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データ種別 | 電子ブック |
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分 類 | LCC:QA402.5-402.6 DC23:519.6 |
書誌ID | 4001108600 |
ISBN | 9783031508790 |