Iterative Approximation of Fixed Points
(Sprache: Englisch)
This monograph gives an introductory treatment of the most important iterative methods for constructing fixed points of nonlinear contractive type mappings. For each iterative method considered, it summarizes the most significant contributions in the area...
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This monograph gives an introductory treatment of the most important iterative methods for constructing fixed points of nonlinear contractive type mappings. For each iterative method considered, it summarizes the most significant contributions in the area by presenting some of the most relevant convergence theorems. It also presents applications to the solution of nonlinear operator equations as well as the appropriate error analysis of the main iterative methods.
Inhaltsverzeichnis zu „Iterative Approximation of Fixed Points “
- Preface to the First Edition- Preface to the Second Edition
- Introduction
1. Pre-requisites of fixed points
2. The Picard iteration
3. The Krasnoselskij iteration
4. The Mann iteration
5. The Ishikawa iteration
6. Other fixed point iteration procedures
7. Stability of fixed point iteration procedures
8. Iterative solution of nonlinear operator equations
9. Error analysis of fixed point iteration procedures
- References
- List of symbols
- Authors Index
- Subject Index
Bibliographische Angaben
- Autor: Vasile Berinde
- 2nd revidierte and enlarged ed. 2007, 344 Seiten, Maße: 15,5 x 23,5 cm, Kartoniert (TB), Englisch
- Verlag: Springer Berlin Heidelberg
- ISBN-10: 3540722335
- ISBN-13: 9783540722335
- Erscheinungsdatum: 16.05.2007
Sprache:
Englisch
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