一类强收敛不动点迭代格式及其应用

IF 1.9 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Mathematical & Computational Applications Pub Date : 2023-03-20 DOI:10.3390/mca28020045

Anku, Mona Narang, V. Kanwar

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引用次数: 0

摘要

本文提出了一种新的单参数类不动点迭代法来逼近压缩型映射的不动点。该族中任意参数的存在增大了其收敛区间。此外，我们还提出了新的两步和三步不动点迭代方案。讨论了所提方法的稳定性、强收敛性和快速性。此外，通过数值实验验证了新方法的适用性，并与文献中已知的类似方法进行了比较。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On Some Fixed Point Iterative Schemes with Strong Convergence and Their Applications

In this paper, a new one-parameter class of fixed point iterative method is proposed to approximate the fixed points of contractive type mappings. The presence of an arbitrary parameter in the proposed family increases its interval of convergence. Further, we also propose new two-step and three-step fixed point iterative schemes. We also discuss the stability, strong convergence and fastness of the proposed methods. Furthermore, numerical experiments are performed to check the applicability of the new methods, and these have been compared with well-known similar existing methods in the literature.

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来源期刊

Mathematical & Computational Applications MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

自引率

10.50%

发文量

审稿时长

12 weeks

期刊介绍： Mathematical and Computational Applications (MCA) is devoted to original research in the field of engineering, natural sciences or social sciences where mathematical and/or computational techniques are necessary for solving specific problems. The aim of the journal is to provide a medium by which a wide range of experience can be exchanged among researchers from diverse fields such as engineering (electrical, mechanical, civil, industrial, aeronautical, nuclear etc.), natural sciences (physics, mathematics, chemistry, biology etc.) or social sciences (administrative sciences, economics, political sciences etc.). The papers may be theoretical where mathematics is used in a nontrivial way or computational or combination of both. Each paper submitted will be reviewed and only papers of highest quality that contain original ideas and research will be published. Papers containing only experimental techniques and abstract mathematics without any sign of application are discouraged.