# Math Help - Fixed point theorem

1. ## Fixed 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!

2. Originally Posted by bubblygirl90
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!
Here is link to the wiki

Banach fixed point theorem - Wikipedia, the free encyclopedia

3. Thank you, I tried googling it and came across many many fixed point theorem proofs! It really helps when you know the name