Existence of a fractal of iterated function systems containing condensing functions for the degree of nondensifiability

被引：1

作者：

Caballero Mena, Josefa ^{[1
]}

Rocha Martin, Juan ^{[1
]}

Sadarangani, Kishin ^{[1
]}

机构：

[1] Univ Las Palmas Gran Canaria, Dept Matemat, Campus Tafira Baja, Las Palmas Gran Canaria 35017, Spain

来源：

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2023年 / 25卷 / 01期

关键词：

Iterated function system; Attractor; Hausdorff metric; Condensing functions; Degree of nondensifiability; HUTCHINSON;

D O I：

10.1007/s11784-022-00995-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

From a fixed point theorists' view, Hutchinson considered a fractal set as a fixed point problem and applied the Banach contraction principle to prove its existence. In this paper, we present a result about the existence of fractal for a finite iterated condensing function using the degree of nondensifiability.

引用

页数：9