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

2015/12/17 by Radu Miculescu, Miculescu, Radu, Alexandru Mihail +1
Engineering · Mathematics · #28A80 #54H25 #Advanced Differential Equations and Dynamical Systems #Classical Analysis and ODEs (math.CA) #Control and Stability of Dynamical Systems #FOS: Mathematics #Fixed Point Theorems Analysis #math.CA #msc:28A80 #msc:54H25

paper · pdf · doi:10.48550/arxiv.1512.05490

arxiv created 2015/12/17 · openalex publication_date 2015/12/17 · arxiv updated 2015/12/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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