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

Ti-Ming Yu; Economics, Chengdu , China; Abdul Aziz Shahid; Khurram Shabbir; Nehad Ali Shah; Yong-Min Li

doi:https://doi.org/10.3934/math.2021393

doi.org/10.3934/math.2021393

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

Ti-Ming Yu,

Economics, Chengdu , China,

..., Yong-Min Li

AIMS mathematics2.20

Volume: 6, Issue: 7, Pages: 6699 - 6714

Published: Jan 1, 2021

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...

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Paper Details

Title

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

DOI

doi.org/10.3934/math.2021393

Published Date

Jan 1, 2021

Journal

AIMS mathematics

Volume

6

Issue

7

Pages

6699 - 6714

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