An improvement to the fixed point iterative method

摘要

The problem of convergence of the fixed point iterative method has been studied in this article. The main object of this article is to improve the convergence so that the number of iterations is reduced to just few iterations. A technique is presented to increase the order of convergence as much as desired. To illustrate the ability of this technique, some examples, for which regular method needs many times of iterations, are presented.