Global Attractivity Results for Mixed-Monotone Mappings in Partially Ordered Complete Metric Spaces
Date of Original Version
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 Zn+1 = F(zn,zn-1), n = 2, 3,…, where satisfies mixed-monotone conditions with respect to the given ordering.
Burgić, D., Kalabušić, & Kulenović, M. R. S. (2009). Global Attractivity Results for Mixed-Monotone Mappings in Partially Ordered Complete Metric Spaces. Fixed Point Theory and Applications, 2009, Article ID: 762478. doi: 10.1155/2009/762478
Available at: https://doi.org/10.1155/2009/762478
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