Would someone help me with this problem?

Define the sequence in a metric space such that for . Show that is Cauchy.

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- Dec 9th 2012, 11:22 PMjackieCauchy sequence
Would someone help me with this problem?

Define the sequence in a metric space such that for . Show that is Cauchy. - Dec 10th 2012, 02:47 AMemakarovRe: Cauchy sequence
See the proof of Banach fixed-point theorem.