Simpler is also better in approximating fixed points

Department of Mathematics, Indiana University, Bloomington, IN 47405-7106, United States
Applied Mathematics and Computation (Impact Factor: 1.6). 11/2008; 205:428-431. DOI: 10.1016/j.amc.2008.08.021
Source: DBLP

ABSTRACT In this paper we demonstrate that a number of fixed point iteration problems can be solved using a modified Krasnoselskij iteration process, which is much simpler to use than the other iteration schemes that have been defined.


Available from: Safeer Hussain Khan, Dec 16, 2013
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    ABSTRACT: These days Mandelbrot set with transcendental function is an interesting area for mathematicians. New equations have been created for Mandelbrot set using trigonometric, logarithmic and exponential functions. Earlier, Ishikawa iteration has been applied to these equations and generate new fractals named as Relative Superior Mandelbrot Set with transcendental function. In this paper, the Mann iteration is being applied on Mandelbrot set with sine function i.e. sin(z n)+c and new fractals with the concept of Superior Transcendental Mandelbrot Set will be shown. Our goal is to focus on the less number of iterations which are required to obtain fixed point of function sin(z n)+c.
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