Iterative Approximation of Fixed Points
Publication year: 2007
ISBN: 978-3-540-72234-2
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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.
Subject: Mathematics and Statistics, calculus, convergence theorems, equation, fixed points, iterative methods, nonlinear contractive type operators, rate of convergence, theorem
