Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 634109, 8 pages
doi:10.1155/2010/634109
Research Article

On Fixed Points of Maximalizing Mappings in Posets

S. Heikkilä

Department of Mathematical Sciences, University of Oulu, P.O. Box 3000, 90014 Oulu, Finland

Received 7 October 2009; Accepted 16 November 2009

Academic Editor: Mohamed A. Khamsi

Copyright © 2010 S. Heikkilä. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We use chain methods to prove fixed point results for maximalizing mappings in posets. Concrete examples are also presented.