Fixed-Point Results in Fuzzy S-Metric Space with Applications to Fractals and Satellite Web Coupling Problem
In this manuscript, we introduce the concept of fuzzy S-metric spaces and study some of their characteristics. We prove a fixed-point theorem for a self-mapping on a complete fuzzy S-metric space. To illustrate the versatility of our new ideas and related fixed-point theorems, we give examples to il...
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| Format: | Article |
| Language: | English |
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MDPI AG
2025-03-01
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| Series: | Fractal and Fractional |
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| Online Access: | https://www.mdpi.com/2504-3110/9/3/164 |
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| author | Ilyas Khan Muhammad Shaheryar Fahim Ud Din Umar Ishtiaq Ioan-Lucian Popa |
| author_facet | Ilyas Khan Muhammad Shaheryar Fahim Ud Din Umar Ishtiaq Ioan-Lucian Popa |
| author_sort | Ilyas Khan |
| collection | DOAJ |
| description | In this manuscript, we introduce the concept of fuzzy S-metric spaces and study some of their characteristics. We prove a fixed-point theorem for a self-mapping on a complete fuzzy S-metric space. To illustrate the versatility of our new ideas and related fixed-point theorems, we give examples to illustrate their use in a variety of domains, including fractal formation. These examples illustrate how the fuzzy S-contraction can be applied to iterated function systems, enabling the exploration of fractal forms under diverse contractive conditions. In addition, we solve the satellite web coupling problem by employing this coherent framework. |
| format | Article |
| id | doaj-art-dcf7c382aff04e95a9711c4a46e60d2a |
| institution | OA Journals |
| issn | 2504-3110 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj-art-dcf7c382aff04e95a9711c4a46e60d2a2025-08-20T02:11:10ZengMDPI AGFractal and Fractional2504-31102025-03-019316410.3390/fractalfract9030164Fixed-Point Results in Fuzzy S-Metric Space with Applications to Fractals and Satellite Web Coupling ProblemIlyas Khan0Muhammad Shaheryar1Fahim Ud Din2Umar Ishtiaq3Ioan-Lucian Popa4Abdus Salam School of Mathematical Sciences, Government College University, Lahore 54600, PakistanAbdus Salam School of Mathematical Sciences, Government College University, Lahore 54600, PakistanAbdus Salam School of Mathematical Sciences, Government College University, Lahore 54600, PakistanOffice of Research, Innovation and Commercialization, University of Management and Technology, Lahore 54770, PakistanDepartment of Computing, Mathematics and Electronics, “1 Decembrie 1918” University of Alba Iulia, 510009 Alba Iulia, RomaniaIn this manuscript, we introduce the concept of fuzzy S-metric spaces and study some of their characteristics. We prove a fixed-point theorem for a self-mapping on a complete fuzzy S-metric space. To illustrate the versatility of our new ideas and related fixed-point theorems, we give examples to illustrate their use in a variety of domains, including fractal formation. These examples illustrate how the fuzzy S-contraction can be applied to iterated function systems, enabling the exploration of fractal forms under diverse contractive conditions. In addition, we solve the satellite web coupling problem by employing this coherent framework.https://www.mdpi.com/2504-3110/9/3/164fuzzy S-metric spacefuzzy S-contractionfuzzy S-iterated function systemfractalsattractorfuzzy S-Hutchinson-Barnsley operators: satellite web coupling problem |
| spellingShingle | Ilyas Khan Muhammad Shaheryar Fahim Ud Din Umar Ishtiaq Ioan-Lucian Popa Fixed-Point Results in Fuzzy S-Metric Space with Applications to Fractals and Satellite Web Coupling Problem Fractal and Fractional fuzzy S-metric space fuzzy S-contraction fuzzy S-iterated function system fractals attractor fuzzy S-Hutchinson-Barnsley operators: satellite web coupling problem |
| title | Fixed-Point Results in Fuzzy S-Metric Space with Applications to Fractals and Satellite Web Coupling Problem |
| title_full | Fixed-Point Results in Fuzzy S-Metric Space with Applications to Fractals and Satellite Web Coupling Problem |
| title_fullStr | Fixed-Point Results in Fuzzy S-Metric Space with Applications to Fractals and Satellite Web Coupling Problem |
| title_full_unstemmed | Fixed-Point Results in Fuzzy S-Metric Space with Applications to Fractals and Satellite Web Coupling Problem |
| title_short | Fixed-Point Results in Fuzzy S-Metric Space with Applications to Fractals and Satellite Web Coupling Problem |
| title_sort | fixed point results in fuzzy s metric space with applications to fractals and satellite web coupling problem |
| topic | fuzzy S-metric space fuzzy S-contraction fuzzy S-iterated function system fractals attractor fuzzy S-Hutchinson-Barnsley operators: satellite web coupling problem |
| url | https://www.mdpi.com/2504-3110/9/3/164 |
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