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 |  |
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 |
doi | https://doi.org/10.1007/978-3-030-78849-0 |
isbn_softcover | 978-3-030-78851-3 |
isbn_ebook | 978-3-030-78849-0Series ISSN 1931-6828 Series E-ISSN 1931-6836 |
issn_series | 1931-6828 |
copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |