Does anybody know, or know where i can find a proof that if X is complete then a contradiction f has a unique fixed point?

Thank you!

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- Jun 6th 2010, 11:09 AMbubblygirl90Fixed point theorem
Does anybody know, or know where i can find a proof that if X is complete then a contradiction f has a unique fixed point?

Thank you! - Jun 6th 2010, 11:52 AMTheEmptySet
Here is link to the wiki

Banach fixed point theorem - Wikipedia, the free encyclopedia - Jun 6th 2010, 11:55 AMbubblygirl90
Thank you, I tried googling it and came across many many fixed point theorem proofs! It really helps when you know the name (Giggle)