Results 1 to 10 of about 18,793 (244)

Cyclic weak ϕ iterated function system [PDF]

Topological Algebra and its Applications, 2022
In this article, we are considering the cyclic weak ϕ-contraction and prove that the result is also true in Hausdorff metric space. We are constructing a cyclic weak ϕ iterated function system (IFS), which gives the self-referential set or attractor ...
Ullah Kifayat, Katiyar S. K.
doaj   +2 more sources

Entropy of Iterated Function Systems and Their Relations with Black Holes and Bohr-Like Black Holes Entropies [PDF]

Entropy, 2018
In this paper we consider the metric entropies of the maps of an iterated function system deduced from a black hole which are known the Bekenstein–Hawking entropies and its subleading corrections.
Christian Corda, Mehdi FatehiNia, MohammadReza Molaei, Yamin Sayyari   +3 more
doaj   +2 more sources

Best proximity point results of iterated function systems for $ \alpha $-$ \psi $-contractions

AIMS Mathematics
In this paper, we present two new concepts, called $ \alpha $-$ \psi $ -iterated function system and $ \alpha $-$ \psi $-proximal iterated function system, by using $ \alpha $-$ \psi $-contractions and $ \alpha $-$ \psi $ -proximal contractions.
Mustafa Aslantas, Ali Hussein Bachay, Hakan Sahin, A. Duran Türkoğlu   +3 more
doaj   +2 more sources

Common Attractors for Generalized F-Iterated Function Systems in G-Metric Spaces [PDF]

Fractal and Fractional
In this paper, we study the generalized F-iterated function system in G-metric space. Several results of common attractors of generalized iterated function systems obtained by using generalized F-Hutchinson operators are also established.
Talat Nazir, Sergei Silvestrov
doaj   +2 more sources

Fractals via Controlled Fisher Iterated Function System

Fractal and Fractional, 2022
This paper explores the generalization of the fixed-point theorem for Fisher contraction on controlled metric space. The controlled metric space and Fisher contractions are playing a very crucial role in this research.
C. Thangaraj, D. Easwaramoorthy
doaj   +1 more source

On the Fractal interpolation functions associated with Matkowski contractions

Electronic Research Archive, 2023
In this paper we investigate an iterated function system that defines a fractal interpolation function, where ordinate scaling, that is Lipschitz constant in Banach contraction principle is substituted by real-valued control function.
Najmeddine Attia, Mohamed balegh, Rim Amami , Rimah Amami   +3 more
doaj   +1 more source

Fractal Interpolation Using Harmonic Functions on the Koch Curve

Fractal and Fractional, 2021
The Koch curve was first described by the Swedish mathematician Helge von Koch in 1904 as an example of a continuous but nowhere differentiable curve.
Song-Il Ri, Vasileios Drakopoulos, Song-Min Nam   +2 more
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Fractal Dimension of Fractal Functions on the Real Projective Plane

Fractal and Fractional, 2023
In this article, we consider an iterated functions system on the non-Euclidean real projective plane which has a linear structure. Then, we study the fractal dimension of the associated curve as a subset of the projective space and like a set of the ...
Alamgir Hossain, Md. Nasim Akhtar, María A. Navascués   +2 more
doaj   +1 more source

Existence of Picard operator and iterated function system

Applied General Topology, 2020
In this paper, we define weak θm− contraction mappings and give a new class of Picard operators for such class of mappings on a complete metric space. Also, we obtain some new results on the existence and uniqueness of attractor for a weak θm− iterated ...
Medha Garg, Sumit Chandok
doaj   +1 more source

Generalized Iterated Function Systems on b-Metric Spaces

Mathematics, 2023
An iterated function system consists of a complete metric space (X,d) and a finite family of contractions f1,⋯,fn:X→X. A generalized iterated function system comprises a finite family of contractions defined on the Cartesian product Xm with values in X ...
Izabella Abraham, Radu Miculescu
doaj   +1 more source