Open Access

Fixed point results and their applications to Markov processes

Fixed Point Theory and Applications20052005:963238

DOI: 10.1155/FPTA.2005.307

Received: 2 December 2004

Published: 25 October 2005

Abstract

New existence and comparison results are proved for fixed points of increasing operators and for common fixed points of operator families in partially ordered sets. These results are then applied to derive existence and comparison results for invariant measures of Markov processes in a partially ordered Polish space.

Authors’ Affiliations

(1)
Department of Mathematical Sciences, University of Oulu

Copyright

© Heikkilä 2005