Iterative approximation of fixed points
著者
書誌事項
Iterative approximation of fixed points
（Lecture notes in mathematics, 1912）
Springer, c2007
2nd rev. and enl. ed
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注記
Originally published: Baia Mare, Romania : Editura Efemeride, 2002
Includes bibliographical references (p. [221]-304) and indexes
内容説明・目次
内容説明
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.
目次
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.
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