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 |  |
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 |
doi | https://doi.org/10.1007/978-3-642-30901-4 |
isbn_softcover | 978-3-642-30900-7 |
isbn_ebook | 978-3-642-30901-4Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
issn_series | 0075-8434 |
copyright | Springer-Verlag Berlin Heidelberg 2013 |