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Fractals of generalized F-Hutchinson operator
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. COMSATS Institute of Information Technology, Pakistan. (MAM)ORCID iD: 0000-0001-6516-3212
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. (MAM)ORCID iD: 0000-0003-4554-6528
Department of Mathematics and Applied Mathematics, University of Pretoria, South Africa.
2016 (English)In: Waves, Wavelets and Fractals. Advanced Analysis, ISSN 2449-5557, Vol. 2, no 1, 29-40 p.Article in journal (Refereed) Published
Abstract [en]

The aim of this paper is to construct a fractal with the help of a finite family of F−contraction mappings, a class of mappings more general than contraction mappings, defined on a complete metric space. Consequently, we obtain a variety of results for iterated function systems satisfying a different set of contractive conditions. Some examples are presented to support the results proved herein. Our results unify, generalize and extend various results in the existing literature.

Place, publisher, year, edition, pages
2016. Vol. 2, no 1, 29-40 p.
Keyword [en]
Iterated function system, set-valued mapping, domain of sets, fixed point, F-contraction
National Category
Mathematical Analysis
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-33095DOI: 10.1515/wwfaa-2016-0004OAI: oai:DiVA.org:mdh-33095DiVA: diva2:963080
Projects
FUSION
Available from: 2016-09-08 Created: 2016-09-07 Last updated: 2016-12-27Bibliographically approved

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