… , namely cyclic contraction and cyclic \(\varphi \)-contraction. For the application to the fractal,
we develop new iterated function systems (IFS) consisting of cyclic contractions and cyclic \(\…

… As an application, we investigate the iterated function system (IFS) comprised of generalized
cyclic contraction mappings. Some examples are also presented to validate the results. …

… of cyclic generalized iterated function system (GIFS), which is a family of functions f 1 , f 2 ,
… , f M : X k → X , where each f i is a cyclic … of attractor of this cyclic GIFS, and investigate its …

… 1 p A i → ∪ i = 1 p A i be a cyclic contraction with contractivity factor λ m . The collection { X
; { A i } i = 1 p ; { f m } m = 1 N } is referred to as the cyclic contraction iterated function system. …

… We introduce iterated functions systems (ifss) first as a … -cycle of Z, then it is contained in A,
by the uniqueness of A (theorem 3). Because the ifs is hyperbolic it follows that any fc-cycle of …

… We consider iterated functions systems generated by a … First, the iterated functions systems
are minimal, meaning that orbits … for minimal iterated function systems, meaning that typically …

… a dynamical system of iterated function systems, we consider … set of all finite and countable
iterated function systems on (X, d) … Finite systems that loop correspond to the cyclic IFS points. …

… With Theorem 4.1, we conclude that the only WB-cycle is {0, 0}. Also mB has finitely many
zeroes in XL so we can use [5] to conclude that the spectrum of µB is the one given in the …

… In this paper we concentrate on a class of iterate function systems (IFS… systems which arise
from a class of Iterated Function … We say that Cx is a W-cycle if it is an n-cycle for some n, and …

… cyclic φ -contractions. This work aims to supplement the deliberations on the aforementioned
IFS. We study the code space associated with the countable cyclic φ … the countable cyclic φ -…