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Math Help - Fixed point theorem

  1. #1
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    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!
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  2. #2
    Behold, the power of SARDINES!
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    Quote Originally Posted by bubblygirl90 View Post
    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
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  3. #3
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    Thank you, I tried googling it and came across many many fixed point theorem proofs! It really helps when you know the name
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