I learnt about lipschitz functions and know the theorem about them having fixed points, Im trying to use that concept here but I'm not succeeding. Any help will be appreciated. Thanks
Asked
Active
Viewed 99 times
1
-
Hint: Consider the space of irrational numbers. – Sungjin Kim Nov 25 '13 at 00:53
-
@i707107 still isnt helping me :( – Raul Nov 25 '13 at 01:47
-
Let $X$ be the set of all positive irrational numbers. Consider a metric on $X$ that makes $(X,d)$ complete. – Sungjin Kim Nov 25 '13 at 07:52