Iterated function systems consisting of continuous functions satisfying Banach’s orbital condition
نویسندگان
چکیده
منابع مشابه
Approximating continuous functions by iterated function systems and optimization problems
In this paper some new contractive operators on C([a, b]) of IFS type are built. Inverse problems are introduced and studied by convex optimization problems. A stability result and some optimality conditions are given. AMS Subject Classification: 28A80, 41A20
متن کاملApproximating distribution functions by iterated function systems
In this small note an iterated function system on the space of distribution functions is built. The inverse problem is introduced and studied by convex optimization problems. Applications of this method to approximation of distribution functions and estimation are presented. Résumé. Dans cette petite note un système de fonction itéré sur l’espace de fonctions de repartition est construit. Le pr...
متن کاملA generalized finite type condition for iterated function systems
We study iterated function systems (IFSs) of contractive similitudes on Rd with overlaps. We introduce a generalized finite type condition which extends a more restrictive condition in [S.-M. Ngai, Y. Wang, Hausdorff dimension of self-similar sets with overlaps, J. London Math. Soc. (2) 63 (3) (2001) 655–672] and allows us to include some IFSs of contractive similitudes whose contraction ratios...
متن کاملThe art of iterated function systems with expanding functions
Iterated function systems with contracting functions have been widely applied in contexts relating art and science. This paper explores iterated function systems which consist of expanding linear functions. An area in the plane is divided in parts which are defined implicitly by an inverse function technique. With each part, an expanding function is associated. A coloring technique is proposed ...
متن کاملOn the Relation between Iterated Function Systems and Partitioned Iterated Function Systems on the Relation between Iterated Function Systems and Partitioned Iterated Function Systems on the Relation between Iterated Function Systems and Partitioned Iterated Function Systems
In this paper, we give a theoretically founded transition from Iterated Function Systems based on aane transformations to Partitioned Iterated Function Systems. We show that there are two essential steps, namely, restricting the aane transformations, and solving the evoked problem of ink dissipation. In this paper, we give a theoretically founded transition from Iterated Function Systems based ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Annals of West University of Timisoara - Mathematics and Computer Science
سال: 2018
ISSN: 1841-3307
DOI: 10.2478/awutm-2018-0016