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...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2024-03-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/16/3/368 |
| _version_ | 1797239210367778816 |
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| author | Aasma Shaheen Afshan Batool Amjad Ali Hamed Al Sulami Aftab Hussain |
| author_facet | Aasma Shaheen Afshan Batool Amjad Ali Hamed Al Sulami Aftab Hussain |
| author_sort | Aasma Shaheen |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-24T17:47:55Z |
| format | Article |
| id | doaj.art-0c32bd89a9fa492bb8b207739f553a3a |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-04-24T17:47:55Z |
| publishDate | 2024-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-0c32bd89a9fa492bb8b207739f553a3a2024-03-27T14:05:36ZengMDPI AGSymmetry2073-89942024-03-0116336810.3390/sym16030368Recent Developments in Iterative Algorithms for Digital MetricsAasma Shaheen0Afshan Batool1Amjad Ali2Hamed Al Sulami3Aftab Hussain4Department of Mathematics, Fatima Jinnah Women University, Islamabad 46000, PakistanDepartment of Mathematics, Fatima Jinnah Women University, Islamabad 46000, PakistanDepartment of Mathematical and Statistical Sciences, University of Alberta, Edmonton, AB T6G 2G1, CanadaDepartment of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaThis 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.https://www.mdpi.com/2073-8994/16/3/368fixed point<i>ϝ</i>-stable iterative schemedigital metric spacefractal imagesymmetrysierpinski triangle |
| spellingShingle | Aasma Shaheen Afshan Batool Amjad Ali Hamed Al Sulami Aftab Hussain Recent Developments in Iterative Algorithms for Digital Metrics Symmetry fixed point <i>ϝ</i>-stable iterative scheme digital metric space fractal image symmetry sierpinski triangle |
| title | Recent Developments in Iterative Algorithms for Digital Metrics |
| title_full | Recent Developments in Iterative Algorithms for Digital Metrics |
| title_fullStr | Recent Developments in Iterative Algorithms for Digital Metrics |
| title_full_unstemmed | Recent Developments in Iterative Algorithms for Digital Metrics |
| title_short | Recent Developments in Iterative Algorithms for Digital Metrics |
| title_sort | recent developments in iterative algorithms for digital metrics |
| topic | fixed point <i>ϝ</i>-stable iterative scheme digital metric space fractal image symmetry sierpinski triangle |
| url | https://www.mdpi.com/2073-8994/16/3/368 |
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