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    Abstract. In this note will see that in the setting of ordinary differential equations we are able to use the Contraction Mapping Theorem to prove existenceA contraction mapping has at most one fixed point. Moreover, the Banach fixed-point theorem states that every contraction mapping on a non-empty complete metric
    The Contraction Mapping Theorem (CMT hereafter) applies to complete metric In many economic applications the two hypothesis of Blackwell’s Theorem can
    applications of the theory later. 1.1.1 Fixed point theorems. Often in economics we have the problem of finding an equilibrium (steady state). Mathemat-.
    That is, f is a contraction mapping if it is a function with slope uniformly less than one in absolute value. University of Warwick, EC9A0: Pre-sessional
    The contraction mapping theorem states that a strict contraction on a complete metric space has a unique fixed point. The contraction mapping theorem is only

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