A novel scheme of $ k $-step iterations in digital metric spaces-Reference-Cited by-同舟云学术

A novel scheme of $ k $-step iterations in digital metric spaces

Published:2023 Issue:1 Volume:8 Page:873-886
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Botmart Thongchai¹,Shaheen Aasma²,Batool Afshan²,Etemad Sina³,Rezapour Shahram³⁴

Affiliation:

1. Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand

2. Department of Mathematical Sciences, Fatima Jinnah Women University, Islamabad, Pakistan

3. Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran

4. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan

Abstract

<abstract><p>In computational mathematics, the comparison of convergence rate in different iterative methods is an important concept from theoretical point of view. The importance of this comparison is relevant for researchers who want to discover which one of these iterations converges to the fixed point more rapidly. In this article, we study the different numerical methods to calculate fixed point in digital metric spaces, introduce a new k-step iterative process and conduct an analysis on the strong convergence, stability and data dependence of the mentioned scheme. Some illustrative examples are given to show that this iteration process converges faster.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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