Iterations of mean-type mappings and invariant means

Janusz Matkowski

Published: 1999-09-30

Vol. 13 (1999)

Iterations of mean-type mappings and invariant means

Janusz Matkowski

Abstract

It is shown that, under some general conditions, the sequence of iterates of every mean-type mapping on a finite dimensional cube converges to a unique invariant mean-type mapping. Some properties of the invariant means and their applications are presented.

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Matkowski, J. (1999). Iterations of mean-type mappings and invariant means. Annales Mathematicae Silesianae, 13, 211–226. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14150

Vol. 13 (1999)
Published: 1999-09-30

ISSN: 0860-2107

eISSN: 2391-4238

10.1515/amsil

Publisher

University of Silesia Press

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