Results 91 to 100 of about 15,237 (204)

The contraction mapping principle and some applications

Electronic Journal of Differential Equations, 2009
These notes contain various versions of the contraction mapping principle. Several applications to existence theorems in the theories of differential and integral equations and variational inequalities are given.
Robert M. Brooks, Klaus Schmitt
doaj  

Common Attractor for Hutchinson θ-Contractive Operators in Partial Metric Spaces

Mathematical and Computational Applications
This paper investigates the existence of common attractors for generalized θ-Hutchinson operators within the framework of partial metric spaces. Utilizing a finite iterated function system composed of θ-contractive mappings, we establish theoretical ...
Naila Shabir, Ali Raza, Manuel De la Sen, Mujahid Abbas, Shahbaz Ahmad   +4 more
doaj   +1 more source

A comparison of different evolutive niching strategies for identifying a set of selfsimilar contractions for the IFS inverse problem

Journal of Computer Science and Technology, 2001
The key problem in fractal image compression is that of obtaining the IFS code (a set of linear transformations)which approximates a given image with a certain prescribed accuracy (inverse IFS problem).In this paper,we analyze and compare the performance
José Manuel Gutiérrez Llorente, María Laura Ivanissevich, Antonio S. Cofiño   +2 more
doaj  

Proximal iterated function systems using cyclic Meir-Keeler contractions and an application to fractal theory

Fixed Point Theory and Algorithms for Sciences and Engineering
In this paper, we develop the proximal iterated function systems ( P I F S ) $(PIFS)$ using cyclic Meir-Keeler contractions and hence give an application in the fractal theory by constructing fractals using the new I F S $IFS$ .
A. Sreelakshmi Unni, V. Pragadeeswarar
doaj   +1 more source

A Note on Formal Iterated Function Systems

Electronic Notes in Theoretical Computer Science, 2000
AbstractEdalat has introduced the notion of weakly hyperbolic iterated function systems [3] and showed that it allows for natural domain theoretic proofs (also for the probabilistic case). This note tries to analyse some of these arguments from the point of view of formal (or point-free) topology [4].
openaire   +1 more source

Patterns of bifurcation in iterated function systems

Chaos, Solitons & Fractals, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Fractal Homeomorphism for Bi-affine Iterated Function Systems

, 2016
The paper concerns fractal homeomorphism between the attractors of two bi-affine iterated function systems. After a general discussion of bi-affine functions, conditions are provided under which a bi-affine iterated function system is con-tractive, thus ...
Andrew Vince, Michael Barnsley
core  

Teichmüller space for iterated function systems

, 2016
In this paper we investigate families of iterated function systems (IFS) and conformal iterated function systems (CIFS) from a deformation point of view.
Hille, Martial R., Snigireva, Nina
core   +1 more source

Possibly infinite generalized iterated function systems comprising ϕ-max contractions

, 2019
One way to generalize the concept of iterated function system was proposed by R. Miculescu and A. Mihail under the name of generalized iterated function system (for short GIFS).
URZICEANU, Silviu-Aurelian
core   +1 more source

Iterated function systems in the hippocampal CA1. [PDF]

Cogn Neurodyn, 2009
Kuroda S, Fukushima Y, Yamaguti Y, Tsukada M, Tsuda I.   +4 more
europepmc   +1 more source