FRACTAL VECTOR MEASURES IN THE CASE OF AN UNCOUNTABLE ITERATED FUNCTION SYSTEM

Autor: LUCIAN NITA
Jazyk: angličtina
Rok vydání: 2015
Předmět:
Zdroj: Romanian Journal of Mathematics and Computer Science, Vol 5, Iss 2, Pp 151-163 (2015)
Druh dokumentu: article
ISSN: 2247-689X
Popis: In this paper we obtain an extension of the concept of Hutchinson measure (which is the unique fixed point of a contraction on the set of normalized Borel measures on a compact metric space) related to an iterated function system. Our extension means that we consider vector measures (instead of normalized Borel measures) and, also, an uncountable iterated function system instead of a finite one, as in the case of Hutchinson measure.
Databáze: Directory of Open Access Journals