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Abstract. The purpose of this paper is to present some fixed point results in ordered L-spaces. Our results generalize and extend a recent result of Ran and Reurings (2004). Some applications to matrix equations are also considered.

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Abstract. The purpose of this paper is to present several fixed point theorems for the socalled set-valued Y -contractions. Set-valued Y -contractions in ordered metric spaces, set-valued graphic contractions, set-valued contractions outside a bounded set and set-valued operators on a metric space with cyclic representations are considered.