A generalization of Istratescu's fixed point theorem for convex contractions
Classical Analysis and ODEs
2015-12-18 v1
Abstract
In this paper we prove a generalization of Istr\u{a}\c{t}escu's theorem for convex contractions. More precisely, we introduce the concept of iterated function system consisting of convex contractions and prove the existence and uniqueness of the attractor of such a system. In addition we study the properties of the canonical projection from the code space into the attractor of an iterated function system consisting of convex contractions.
Keywords
Cite
@article{arxiv.1512.05490,
title = {A generalization of Istratescu's fixed point theorem for convex contractions},
author = {Radu Miculescu and Alexandru Mihail},
journal= {arXiv preprint arXiv:1512.05490},
year = {2015}
}