Iterated function systems consisting of F-contractions

作者：Secelean, Nicolae-Adrian^*

来源：Fixed Point Theory and Applications, 2013, 2013(1): 277.

DOI：10.1186/1687-1812-2013-277

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

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.

• 出版日期2013-11-8