Geodesic
Another Proof of the Contraction Mapping Principle
Canadian mathematical bulletin, Tome 11 (1968) no. 4, pp. 605-606

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In a recent note of Kolodner [2], the Cantor Intersection Theorem is used to give an alternative proof of the well known Contraction Mapping Principle. Kolodner applied Cantor's theorem first to a bounded metric space and then reduced the general case to this special case. Sometime ago, we found a somewhat different proof of the Contraction Mapping Principle using Cantor's theorem. Since our proof seems somewhat more direct we propose to present it here. 
Boyd, D.W.; Wong, J. S. W. Another Proof of the Contraction Mapping Principle. Canadian mathematical bulletin, Tome 11 (1968) no. 4, pp. 605-606. doi: 10.4153/CMB-1968-075-1
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     title = {Another {Proof} of the {Contraction} {Mapping} {Principle}},
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