| 书目名称 | Iterative Approximation of Fixed Points | | 编辑 | Vasile Berinde | | 视频video | | | 概述 | Includes supplementary material: | | 丛书名称 | Lecture Notes in Mathematics | | 图书封面 |  | | 描述 | .The aim of this monograph is to give a unified introductory treatment of the most important iterative methods for constructing fixed points of nonlinear contractive type mappings. It summarizes the most significant contributions in the area by presenting, for each iterative method considered (Picard iteration, Krasnoselskij iteration, Mann iteration, Ishikawa iteration etc.), some of the most relevant, interesting, representative and actual convergence theorems. Applications to the solution of nonlinear operator equations as well as the appropriate error analysis of the main iterative methods, are also presented. Due to the explosive number of research papers on the topic (in the last 15 years only, more than one thousand articles related to the subject were published), it was felt that such a monograph was imperatively necessary. The volume is useful for authors, editors, and reviewers. It introduces concrete criteria for evaluating and judging the plethora of published papers.. | | 出版日期 | Book 2007Latest edition | | 关键词 | calculus; convergence theorems; equation; fixed points; iterative methods; nonlinear contractive type ope | | 版次 | 2 | | doi | https://doi.org/10.1007/978-3-540-72234-2 | | isbn_softcover | 978-3-540-72233-5 | | isbn_ebook | 978-3-540-72234-2Series ISSN 0075-8434 Series E-ISSN 1617-9692 | | issn_series | 0075-8434 | | copyright | Springer-Verlag Berlin Heidelberg 2007 |
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发表于 2025-3-21 18:39:07
