A generalization of Istratescu's fixed point theorem for convex contractions

Abstract

In this paper we prove a generalization of Istrăţescu'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.

Cited by in corpus (2)

• Iterated function systems consisting of phi-max-contractions have attractor
• Invariant measures of Markov operators associated to iterated function systems consisting of phi-max-contractions with probabilities