If f is a continuous map from closed unit disc to unit circle, then f must have a fixed point. I was trying that problem, by assuming for shake of contradiction, let f does not have any fixed point , then the map (f(x)-x)/||f(x)-x|| is defined, But I can not get any contradiction, how we use that map, or am I in a wrong way ? Please someone help.
2026-03-25 17:35:38.1774460138
Problem on fixed point existence
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