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A generalization of Istratescu's fixed point theorem for convex contractions (1512.05490v1)
Published 17 Dec 2015 in math.CA
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.