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The Generalized Iterated Function System and Common Attractors of Generalized Hutchinson Operators in Dislocated Metric Spaces
Department of Mathematical Sciences, University of South Africa, Florida 0003, South Africa.ORCID iD: 0000-0001-6516-3212
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. Division of Mathematics and Physics, School of Education, Culture and Communication, Mälardalen University, P.O. Box 883, 72123 Västerås, Sweden. (MAM)ORCID iD: 0000-0003-4554-6528
2023 (English)In: Fractal and Fractional, E-ISSN 2504-3110, Vol. 7, no 12, article id 832Article in journal (Refereed) Published
Abstract [en]

In this paper, we present the generalized iterated function system for the construction of common fractals of generalized contractive mappings in the setup of dislocated metric spaces. The well-posedness of attractors’ problems of rational contraction maps in the framework of dislocated metric spaces is also established. Moreover, the generalized collage theorem is also obtained in dislocated metric spaces.

Place, publisher, year, edition, pages
MDPI, 2023. Vol. 7, no 12, article id 832
Keywords [en]
Hutchinson operator, generalized iterated function system, fractal, generalized rational contraction, set-valued mapping, common fixed point
National Category
Mathematical Analysis
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-65221DOI: 10.3390/fractalfract7120832ISI: 001130743400001Scopus ID: 2-s2.0-85180659672OAI: oai:DiVA.org:mdh-65221DiVA, id: diva2:1822987
Available from: 2023-12-29 Created: 2023-12-29 Last updated: 2024-01-23Bibliographically approved

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Publisher's full textScopushttps://www.mdpi.com/2504-3110/7/12/832

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