An iteration process for a general class of contractive-like operators: Convergence, stability and polynomiography

Abstract

In this paper, we propose a three step iteration process and analyze the performance of the process for a contractive-like operators. It is observed that this iterative procedure is faster than several iterative methods in the existing literature. To support the claim, a numerical example is presented using Maple 13. Some images are generated by using this iteration method for complex cubic polynomials. We believe that our presented work enrich the polynomiography software.

Keywords

• iterative schemes
• image generation
• contractive-like operators
• convergence
• polynomials