Recent Developments in Iterative Algorithms for Digital Metrics

This paper aims to provide a comprehensive analysis of the advancements made in understanding Iterative Fixed-Point Schemes, which builds upon the concept of digital contraction mappings. Additionally, we introduce the notion of an Iterative Fixed-Point Schemes in digital metric spaces. In this stud...

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Bibliographic Details
Main Authors: Aasma Shaheen, Afshan Batool, Amjad Ali, Hamed Al Sulami, Aftab Hussain
Format: Article
Language:English
Published: MDPI AG 2024-03-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/16/3/368
Description
Summary:This paper aims to provide a comprehensive analysis of the advancements made in understanding Iterative Fixed-Point Schemes, which builds upon the concept of digital contraction mappings. Additionally, we introduce the notion of an Iterative Fixed-Point Schemes in digital metric spaces. In this study, we extend the idea of Iteration process Mann, Ishikawa, Agarwal, and Thakur based on the <i>ϝ</i>-Stable Iterative Scheme in digital metric space. We also design some fractal images, which frame the compression of Fixed-Point Iterative Schemes and contractive mappings. Furthermore, we present a concrete example that exemplifies the motivation behind our investigations. Moreover, we provide an application of the proposed Fractal image and Sierpinski triangle that compress the works by storing images as a collection of digital contractions, which addresses the issue of storing images with less storage memory in this paper.
ISSN:2073-8994