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TIFR-2011-Maths-A-21

1 vote
167 views
Any continuous function from the open unit interval $(0, 1)$ to itself has a fixed point.
in Calculus 167 views

1 Answer

1 vote
No.  Take the function that takes $x \mapsto x^2$ . It doesn't have any fixed piont on (0,1)
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