Iterative approximation of fixed points
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...
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| Formato: | Libro electrónico |
| Idioma: | Inglés |
| Publicado: |
Berlin, Germany ; New York, New York :
Springer
[2007]
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| Edición: | 2nd ed. 2007. |
| Colección: | Lecture notes in mathematics (Springer-Verlag) ;
1912. |
| Materias: | |
| Ver en Biblioteca Universitat Ramon Llull: | https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009460796906719 |
| Sumario: | 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. |
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| Notas: | "Originally (1st edition) published by Editura Efemeride, Baia Mare, Romania, 2002"--T.p. verso. Revised thesis (doctoral) - Universitatea Babes-Bolyai, Cluj-Napoca. |
| Descripción Física: | 1 online resource (XV, 326 p.) |
| Bibliografía: | Includes bibliographical references (pages [221]-304) and indexes. |
| ISBN: | 9781280853500 9786610853502 9783540722342 |
