Fractals in Sb-metric spaces
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F25%3A10257551" target="_blank" >RIV/61989100:27740/25:10257551 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s40747-025-01849-1" target="_blank" >https://link.springer.com/article/10.1007/s40747-025-01849-1</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s40747-025-01849-1" target="_blank" >10.1007/s40747-025-01849-1</a>
Alternative languages
Result language
angličtina
Original language name
Fractals in Sb-metric spaces
Original language description
This study aims to discover attractors for fractals by using generalized F-contractive iterated function system, which falls within a distinct category of mappings defined on Sbdocumentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$S_b$$end{document}-metric spaces. In particular, we investigate how these systems, when subjected to specific F-contractive conditions, can lead to the identification of a unique attractor. We achieve a diverse range of outcomes for iterated function systems that adhere to a unique set of generalized F-contractive conditions. Our approach includes a detailed theoretical framework that establishes the existence and uniqueness of attractors in these settings. We provide illustrative examples to bolster the findings established in this work and use the functions given in the example to construct fractals and discuss the convergence of the obtained fractals via iterated function system to an attractor. These examples demonstrate the practical application of our theoretical results, showcasing the convergence behavior of fractals generated by our proposed systems. These outcomes extend beyond the scope of various existing results found in the current body of literature. By expanding the applicability of F-contractive conditions, our findings contribute to the broader understanding of fractal geometry and its applications, offering new insights and potential directions for future research in this area.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10100 - Mathematics
Result continuities
Project
—
Continuities
O - Projekt operacniho programu
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Complex & Intelligent Systems
ISSN
2199-4536
e-ISSN
2198-6053
Volume of the periodical
11
Issue of the periodical within the volume
5
Country of publishing house
US - UNITED STATES
Number of pages
17
Pages from-to
233
UT code for WoS article
001459085000001
EID of the result in the Scopus database
2-s2.0-105002722067