Iterated function systems consisting of F-contractions

被引：164

作者：

Secelean, Nicolae-Adrian ^{[1
]}

机构：

[1] Lucian Blaga Univ Sibiu, Fac Sci, Dept Math & Informat, Sibiu, Romania

来源：

FIXED POINT THEORY AND APPLICATIONS | 2013年

关键词：

contractive map; F-contraction; iterated function system; attractor; Hausdorff-Pompeiu metric;

D O I：

10.1186/1687-1812-2013-277

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider a particular case of a contractive self-mapping on a complete metric space, namely the F-contraction introduced by Wardowski (Fixed Point Theory Appl. 87, 2012, doi:10.1186/1687-1812-2012-94), and provide some new properties of it. As an application, we investigate the iterated function systems (IFS) composed of F-contractions extending some fixed point results from the classical Hutchinson-Barnsley theory of IFS consisting of Banach contractions. Some illustrative examples are given.

引用

页数：13

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