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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| Language: | English |
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Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2007.
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| Edition: | 2nd ed. 2007. |
| Series: | Lecture Notes in Mathematics,
1912 |
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| Online Access: | https://doi.org/10.1007/978-3-540-72234-2 |
Table of Contents:
- Pre-Requisites of Fixed Points
- The Picard Iteration
- The Krasnoselskij Iteration
- The Mann Iteration
- The Ishikawa Iteration
- Other Fixed Point Iteration Procedures
- Stability of Fixed Point Iteration Procedures
- Iterative Solution of Nonlinear Operator Equations
- Error Analysis of Fixed Point Iteration Procedures.