Academic Editor: Juan J. Nieto
Copyright © 2009 Dž. Burgić et al. 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.
We prove fixed point theorems for mixed-monotone mappings in
partially ordered complete metric spaces which satisfy a weaker
contraction condition than the classical Banach contraction condition for all points that are related by given
ordering. We also give a global attractivity result for all solutions of the
where satisfies mixed-monotone conditions with respect to the given ordering.