Fixed Point Results for Non-Linear Operators with Comparisons

The purpose of this research article is to introduce a new iteration scheme and prove convergence and stability results for it. We also claim the newly introduced iterative scheme converges faster than some of the existing iterations in the literature. Our claim is supported by numerical example.

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Publication Details

Journal
Modern Dynamics: Mathematical Progressions.
Published
2025-05-15
DOI
https://doi.org/10.36676/mdmp.v2.i2.40
Primary Topic
Fixed Point Theorems Analysis
Type
article
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article

Fixed Point Results for Non-Linear Operators with Comparisons

Ashish Kumar
Modern Dynamics: Mathematical Progressions.
Fixed Point Theorems Analysis
article

Fixed Point Results for Non-Linear Operators with Comparisons

Ashish Kumar
article en

Abstract

The purpose of this research article is to introduce a new iteration scheme and prove convergence and stability results for it. We also claim the newly introduced iterative scheme converges faster than some of the existing iterations in the literature. Our claim is supported by numerical example.

Modern Dynamics: Mathematical Progressions.Vol. 2(2)
Toronto Metropolitan University (CA)
Openalex Percentile: Top 84%
Fixed Point Theorems Analysis
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Fixed Point Results for Non-Linear Operators with Comparisons — Ashish Kumar · Modern Dynamics: Mathematical Progressions. (2025) | TGRS Research Map | TGRS