Results 81 to 90 of about 15,237 (204)

On Contraction Principles in Product Spaces and Applications in Iterated Function Systems

Axioms
This paper develops an extension of the research work by Proinov to the product spaces X|I| (I is representing an indexing set). This paper also introduces a novel class of (L;Y)-contractions defined on a supremum metric (X|I|,d′).
Muhammad Dabeer Mughal, Muhammad Nazam, Hami Gundogdu   +2 more
doaj   +1 more source

From set-valued dynamical processes to fractals [PDF]

Opuscula Mathematica
We present a general theory of topological semiattractors and attractors for set-valued semigroups. Our results extend and unify those previously obtained by Lasota and Myjak.
Grzegorz Guzik, Grzegorz Kleszcz
doaj   +1 more source

Iterated function systems of holomorphic maps

We unify and advance a host of works on iterated function systems of holomorphic self-maps of hyperbolic Riemann surfaces. Our foremost result is a generalisation to left iterated function systems of an unpublished and little known theorem of Heins on ...
Short, Ian, Abate, Marco
core   +1 more source

Overlapping iterated function systems on a segment

, 2020
Overlapping iterated function systems generate families of injective mappings from the attractor onto shift-invariant subsets of the code space. In this paper we consider an example of such a family for the uniformly linear systems of iterated functions ...
Igudesman K., Barnsley M.
core  

THE RANDOM ITERATION ALGORITHM [PDF]

In the last decades, many researchers concerned their attention on fractals properties of objects. Fractals can be use to describe natural shapes so their applications are various in many fields such as informatics, economics, engineering, medical ...
Daniela Alexandra CRIŞAN, Justina Lavinia STĂNICĂ   +1 more
core  

Logic programs, iterated function systems, and recurrent radial basis function networks

, 2004
www.wv.inf.tu-dresden.de/∼{borstel,pascal} Graphs of the single-step operator for first-order logic programs — displayed in the real plane — exhibit self-similar structures known from topological dynamics, i.e.
Pascal Hitzler, Bader, Sebastian, Sebastian Bader, Hitzler, Pascal   +3 more
core   +1 more source

On the attractor of one-dimensional infinite iterated function systems

, 2013
We study the attractor ofl iterated function systems composed of infinitely many, homogeneous, affine ...
MANTICA, GIORGIO DOMENICO PIO, Giorgio Mantica   +1 more
core   +1 more source

An approach to fractal construction in m-metric spaces via F-contractions

Fixed Point Theory and Algorithms for Sciences and Engineering
Fractals are being used in mathematical modeling, computer graphics and natural science because they have the properties of self-similarity and recursivity.
Rabia Anwar, Poom Kumam, Geetika Verma, Thidaporn Seangwattana   +3 more
doaj   +1 more source

On chaos for iterated function systems

, 2018
This paper is devoted to study some chaotic properties of iterated function systems (IFSs). Specially, a new notion named thick chaotic IFSs is introduced.
Alireza Zamani Bahabadi
core   +1 more source

An Introduction to Leaping Iterated Function Systems [PDF]

, 2020
The concept of "Leaping Iterated Function Systems (LIFS in short)" is a variation of Iterated Function Systems (IFS), that originated from "self-similarity", i.e., the whole has the same shape as one or more of the parts.
Mingjang Chen
core