Article ID Journal Published Year Pages File Type
4628517 Applied Mathematics and Computation 2013 12 Pages PDF
Abstract

In this paper we provide an extension of the classical Chaos game for IFSP. The paper is divided into two parts: in the first one, we discuss how to determine the integral with respect to a measure which is a combination of a self-similar measure from an IFSP along with a density given by an IFSM. In the second part, we prove a version of the Ergodic Theorem for the integration of a continuous multifunction with respect to the invariant measure of an IFSP. These results are in line with some recent extensions of IFS theory to multifunctions.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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