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Contractive-like mapping principles in ordered metric spaces and application to ordinary differential equations. (English) Zbl 1194.54057
Summary: The purpose of this paper is to present a fixed point theorem for generalized contractions in partially ordered complete metric spaces. We also present an application to first-order ordinary differential equations.

##### MSC:
 54H25 Fixed-point and coincidence theorems (topological aspects) 34A99 General theory for ordinary differential equations
Full Text:
##### References:
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