37
24. 2. 2009.
Global Attractivity Results for Mixed-Monotone Mappings in Partially Ordered Complete Metric Spaces
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 difference equation , where satisfies mixed-monotone conditions with respect to the given ordering.