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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.

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Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.